「Mathjax2.x コード一覧」の版間の差分

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       },
       },
       TeX:{
       TeX:{
        equationNumbers:{autoNumber: "AMS"},  
//        equationNumbers:{autoNumber: "AMS"},  
         extensions: ["[Contrib]/physics/physics.js","[Contrib]/siunitx/siunitx.js", "color.js", "cancel.js"]
         extensions: ["[Contrib]/physics/physics.js","[Contrib]/siunitx/siunitx.js", "color.js", "cancel.js"]
       },
       },
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     }
     }
   );</script>
   );</script>
<script type="text/javascript" src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML-full"></script>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.9/MathJax.js?config=TeX-AMS_HTML-full"></script>
<script></freescript>
<script></freescript>
<freescript></script>
<freescript></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.11.1/styles/vs2015.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.11.1/styles/vs2015.css">
<link rel="stylesheet" href="https://wiki.yo-net.jp/custom.css">
<link rel="stylesheet" href="https://wiki.yo-net.jp/custom.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.11.1/highlight.min.js"></script>
<script src="https://wiki.yo-net.jp/highlight/highlight.js"></script>
<script src="https://wiki.yo-net.jp/custom.js"></script>
<script src="https://wiki.yo-net.jp/custom.js"></script>
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== '''概要''' ==
== '''概要''' ==
 Mathjax2.x系で使えるコード一覧を作成したいと思います。しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、動いていないものは非対応だったんだなと思っていいと思います。
 Mathjax2.x系で使えるコード一覧を作成したいと思います。しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、動いていないものは非対応だったんだなと思っていいと思います。
 <div id="output">Checking environment...</div>
 Version2.0系に関する記事です。このページのMathJaxバージョンは
 <div id="version">Loading MathJax version...</div>
<freescript></script>
<script type="text/javascript">
// 読み込み後にグローバルスコープのオブジェクトを調べる
window.onload = function() {
  const keys = Object.keys(window).sort(); // グローバル変数を列挙
  const output = keys.includes("MathJax") ? "MathJax is defined." : "MathJax is not defined. Global keys: " + keys.join(", ");
  document.getElementById("output").textContent = output;
  if (typeof MathJax !== "undefined") {
    if(MathJax.version) {
    // MathJax のバージョンを取得して表示
      document.getElementById("version").textContent = "MathJax version: " + MathJax.version;
    }
  } else {
    console.error("MathJax is not defined or failed to load.");
    document.getElementById("version").textContent = "MathJax failed to load.";
  }
};
</script>
<script></freescript>


 
 
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<code class="tex">\frac{1}{2}
<code class="tex">\frac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{1}{2}" style="width: 1.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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<code class="tex">\displaystyle \frac{1}{2}
<code class="tex">\displaystyle \frac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \displaystyle \frac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\frac{1}{2}" style="width: 1.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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<code class="tex">\dfrac{1}{2}
<code class="tex">\dfrac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dfrac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dfrac{1}{2}" style="width: 1.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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<code class="tex">\require{physics} \flatfrac{1}{2}
<code class="tex">\require{physics} \flatfrac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \flatfrac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\flatfrac{1}{2}" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="texatom"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">/</span></span></span></span><span class="texatom"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<code class="tex">\left( -\frac{1}{2} \right)^2
<code class="tex">\left( -\frac{1}{2} \right)^2
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \left( -\frac{1}{2} \right)^2 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\left(_-\frac{1}{2}_\right)^2" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.156em, 1002.56em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px;"><span style="position: absolute; clip: rect(0.616em, 1002.15em, 3.377em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; top: -3.372em; left: 2.15em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.64em;"></span></span></span></div>
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<freescript></script>
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\require{physics} \qty( -\frac{1}{2} )^2
<code class="tex">\require{physics} \qty{ -\frac{1}{2} }^2
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \qty( -\frac{1}{2} )^2 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\qty{_-\frac{1}{2}_}^2" style="width: 3.582em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.815em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.156em, 1002.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.815em; height: 0px;"><span style="position: absolute; clip: rect(0.616em, 1002.41em, 3.377em, -999.997em); top: -2.247em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; top: -3.372em; left: 2.406em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.64em;"></span></span></span></div>
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<code class="tex">\frac{a+b}{c+\frac{d}{e}}
<code class="tex">\frac{a+b}{c+\frac{d}{e}}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{a+b}{c+\frac{d}{e}} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{a+b}{c+\frac{d}{e}}" style="width: 3.121em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.46em, 3.94em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1002em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.969em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1002.15em, 3.019em, -999.997em); top: -1.173em; left: 50%; margin-left: -1.071em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.434em, 1000.36em, 2.457em, -999.997em); top: -2.707em; left: 50%; margin-left: -0.151em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.434em, 1000.31em, 2.457em, -999.997em); top: -1.685em; left: 50%; margin-left: -0.151em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.46em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.463em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1002.25em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.252em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.205em; border-left: 0px solid; width: 0px; height: 4.159em;"></span></span></span></div>
</div>
</div>


112行目: 138行目:
<code class="tex">\cfrac{a+b}{c+\cfrac{d}{e}}
<code class="tex">\cfrac{a+b}{c+\cfrac{d}{e}}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cfrac{a+b}{c+\cfrac{d}{e}} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cfrac{a+b}{c+\cfrac{d}{e}}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.309em, 1002.56em, 4.86em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 2.355em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.23em, 1002em, 2.712em, -999.997em); top: -3.014em; left: 50%; margin-left: -0.969em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mrow"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.514em, 1002.25em, 3.479em, -999.997em); top: -0.713em; left: 50%; margin-left: -1.122em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mrow"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.712em, -999.997em); top: -2.963em; left: 50%; margin-left: -0.202em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mrow"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.712em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.202em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mrow"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.57em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.565em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1002.36em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.355em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.373em; border-left: 0px solid; width: 0px; height: 5.523em;"></span></span></span></div>
</div>
</div>


124行目: 150行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots}}}\vbCrLf=_\frac{1}{2}_\left(_1+\sqrt{5}_\right)\vbCrLf\end{eqnarray}" style="width: 14.421em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.353em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.202em, 1011.35em, 3.888em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.047em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.457em, 1011.05em, 6.547em, -999.997em); top: -4.753em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.047em; height: 0px;"><span style="position: absolute; clip: rect(0.616em, 1011.05em, 4.707em, -999.997em); top: -2.912em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1003.94em, 3.633em, -999.997em); top: -1.173em; left: 50%; margin-left: -1.94em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 2.201em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.434em, 1000.36em, 2.457em, -999.997em); top: -2.707em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.179em, 1002.1em, 2.764em, -999.997em); top: -1.429em; left: 50%; margin-left: -1.02em;"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.536em, 1000.26em, 2.355em, -999.997em); top: -2.503em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.536em, 1000.97em, 2.355em, -999.997em); top: -1.736em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mn" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mo" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.225em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1002.2em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.201em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1004.04em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 4.042em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msqrt" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.247em; left: 0.514em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.51em, 1.281em, -999.997em); top: -2.145em; left: 0.514em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.51em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.758em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.14em; border-left: 0px solid; width: 0px; height: 4.938em;"></span></span></span></div>
1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots}}}
= \frac{1}{2} \left( 1+\sqrt{5} \right)
\end{eqnarray} $$
</div>
</div>


136行目: 159行目:
<code class="tex">0.123
<code class="tex">0.123
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 0.123 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_0.123" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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145行目: 168行目:
<code class="tex">\frac{1}{11} = 0.\dot{0}\dot{9}
<code class="tex">\frac{1}{11} = 0.\dot{0}\dot{9}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{1}{11} = 0.\dot{0}\dot{9} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{1}{11}_=_0.\dot{0}\dot{9}" style="width: 5.167em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1004.04em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.97em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.458em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span></span><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -3.372em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">˙</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span></span></span></span><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">9</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -3.372em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">˙</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
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154行目: 177行目:
<code class="tex">\pi = 3.14 \ldots
<code class="tex">\pi = 3.14 \ldots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \pi = 3.14 \ldots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\pi_=_3.14_\ldots" style="width: 4.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.786em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">π</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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163行目: 186行目:
<code class="tex">\sqrt{2} = 1.4142 \cdots
<code class="tex">\sqrt{2} = 1.4142 \cdots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sqrt{2} = 1.4142 \cdots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt{2}_=_1.4142_\cdots" style="width: 6.598em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.167em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1005.17em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
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172行目: 195行目:
<code class="tex">\infty
<code class="tex">\infty
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \infty $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\infty" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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181行目: 204行目:
<code class="tex">|x|
<code class="tex">|x|
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ |x| $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_|x|" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
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190行目: 213行目:
<code class="tex">\vert x \vert
<code class="tex">\vert x \vert
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vert x \vert $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vert_x_\vert" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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199行目: 222行目:
<code class="tex">\left| \dfrac{x}{2} \right|
<code class="tex">\left| \dfrac{x}{2} \right|
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \left| \dfrac{x}{2} \right| $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\left|_\dfrac{x}{2}_\right|" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.08em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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206行目: 229行目:
<freescript></script>
<freescript></script>
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\require{physics} \qty|\dfrac{x}{2}|
<code class="tex">\require{physics} \qty{\dfrac{x}{2}}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \qty|\dfrac{x}{2}| $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\qty{\dfrac{x}{2}}" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.23em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
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217行目: 240行目:
<code class="tex">\require{physics} \abs{ \dfrac{x}{2} }
<code class="tex">\require{physics} \abs{ \dfrac{x}{2} }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \abs{ \dfrac{x}{2} } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\abs{_\dfrac{x}{2}_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.08em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


226行目: 249行目:
<code class="tex">[x]
<code class="tex">[x]
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ [x] $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_[x]" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


235行目: 258行目:
<code class="tex">\lbrack x \rbrack
<code class="tex">\lbrack x \rbrack
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lbrack x \rbrack $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lbrack_x_\rbrack" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
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244行目: 267行目:
<code class="tex">\lfloor x \rfloor
<code class="tex">\lfloor x \rfloor
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lfloor x \rfloor $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lfloor_x_\rfloor" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌊</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌋</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
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253行目: 276行目:
<code class="tex">\lceil x \rceil
<code class="tex">\lceil x \rceil
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lceil x \rceil $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lceil_x_\rceil" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌈</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌉</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
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266行目: 289行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf[x]\vbCrLf=_\lfloor_x_\rfloor\vbCrLf=_\max\{_n\in\mathbb{Z}_\mid_n_\leqq_x_\}\vbCrLf\end{eqnarray}" style="width: 14.677em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1011.56em, 2.508em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.251em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.07em, 1011.25em, 4.4em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.251em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1011.25em, 2.457em, -999.997em); top: -2.043em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌊</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌋</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∣</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≦</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.386em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
[x]
= \lfloor x \rfloor
= \max\{ n\in\mathbb{Z} \mid n \leqq x \}
\end{eqnarray} $$
</div>
</div>


282行目: 301行目:
<code class="tex">1 + 2
<code class="tex">1 + 2
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 1 + 2 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_1_+_2" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


291行目: 310行目:
<code class="tex">3 - 1
<code class="tex">3 - 1
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 3 - 1 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_3_-_1" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


300行目: 319行目:
<code class="tex">2 \times 3
<code class="tex">2 \times 3
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 2 \times 3 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_2_\times_3" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">6 \div 3
<code class="tex">\require{physics} 6 \divisionsymbol 3
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 6 \div 3 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_6_\divisionsymbol_3" style="width: 3.019em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.355em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span class="texatom"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">÷</span></span><span class="mtext" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span></span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<code class="tex">\pm 1
<code class="tex">\pm 1
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \pm 1 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\pm_1" style="width: 1.23em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">±</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<code class="tex">\mp 1
<code class="tex">\mp 1
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mp 1 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mp_1" style="width: 1.23em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∓</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<code class="tex">a \cdot b = ab
<code class="tex">a \cdot b = ab
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \cdot b = ab $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\cdot_b_=_ab" style="width: 4.604em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.63em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋅</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">a \div b = \frac{a}{b}
<code class="tex">a \divisionsymbol b = \frac{a}{b}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \div b = \frac{a}{b} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\divisionsymbol_b_=_\frac{a}{b}" style="width: 5.627em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.4em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1004.4em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="texatom"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">÷</span></span><span class="mtext" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.57em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.565em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\begin{array}{r}
<code class="tex">\begin{align}
67 \\[-3pt]
67 \\
\underline{\times\phantom{0}63}\\[-3pt]
\frac{\times\phantom{0}63}{\phantom{0}201} \\
201 \\[-3pt]
\frac{402\phantom{0}}{4221}
\underline{\phantom{0}402\phantom{0}} \\[-3pt]
\end{align}
4221
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{r}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{align}\vbCrLf67_\\\vbCrLf\frac{\times\phantom{0}63}{\phantom{0}201}_\\\vbCrLf\frac{402\phantom{0}}{4221}\vbCrLf\end{align}" style="width: 3.121em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.531em, 1002.46em, 5.269em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.837em, 1002.15em, 10.638em, -999.997em); top: -7.462em; left: 0em;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -4.804em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">7</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(2.355em, 1002.15em, 5.116em, -999.997em); top: -4.701em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.867em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span></span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.59em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.764em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span></span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.89em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.894em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.355em, 1001.95em, 5.116em, -999.997em); top: -1.94em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1001.18em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.764em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.59em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.764em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.69em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.69em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.468em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.893em; border-left: 0px solid; width: 0px; height: 8.38em;"></span></span></span></div>
67 \\[-3pt]
\underline{\times\phantom{0}63}\\[-3pt]
201 \\[-3pt]
\underline{\phantom{0}402\phantom{0}} \\[-3pt]
4221
\end{array} $$
</div>
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373行目: 384行目:
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\begin{array}{r}
<code class="tex">\require{enclose}\begin{align}
   7.6 \\[-3pt]
   7.6 \\
25\enclose{longdiv}{190\phantom{0}} \\[-3pt]
  25\enclose{longdiv}{190\phantom{.0}} \\
   \underline{175\phantom{.0}} \\[-3pt]
   \frac{175\phantom{.0}}{15\phantom{.}0} \\
  15\phantom{.}0 \\[-3pt]
   \frac{15\phantom{.}0\phantom{.}}{\phantom{00.}0\phantom{.}} \\
   \underline{15\phantom{.}0} \\[-3pt]
\end{align}
  \phantom{000}0
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{r}
$$ \require{enclose}\begin{align}
   7.6 \\[-3pt]
   7.6 \\
25\enclose{longdiv}{190\phantom{0}} \\[-3pt]
  25\enclose{longdiv}{190\phantom{.0}} \\
   \underline{175\phantom{.0}} \\[-3pt]
   \frac{175\phantom{.0}}{15\phantom{.}0} \\
  15\phantom{.}0 \\[-3pt]
   \frac{15\phantom{.}0\phantom{.}}{\phantom{00.}0\phantom{.}} \\
   \underline{15\phantom{.}0} \\[-3pt]
\end{align} $$
  \phantom{000}0
\end{array} $$
</div>
</div>


398行目: 405行目:
<code class="tex">a \equiv b \mod n
<code class="tex">a \equiv b \mod n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \equiv b \mod n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\equiv_b_\mod_n" style="width: 7.57em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.934em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1005.93em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≡</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="TeXmathchoice"><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.025em; display: inline-block; overflow: hidden;"></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.156em; display: inline-block; overflow: hidden;"></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.156em; display: inline-block; overflow: hidden;"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


407行目: 414行目:
<code class="tex">a \equiv b \pmod n
<code class="tex">a \equiv b \pmod n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \equiv b \pmod n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\equiv_b_\pmod_n" style="width: 8.183em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.445em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1006.45em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≡</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="TeXmathchoice"><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.025em; display: inline-block; overflow: hidden;"></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.36em; display: inline-block; overflow: hidden;"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


416行目: 423行目:
<code class="tex">\gcd(a, b) = \gcd(b, a \bmod b)
<code class="tex">\gcd(a, b) = \gcd(b, a \bmod b)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \gcd(a, b) = \gcd(b, a \bmod b) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\gcd(a,_b)_=_\gcd(b,_a_\bmod_b)" style="width: 12.99em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.229em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1010.23em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em; padding-right: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


425行目: 432行目:
<code class="tex">x \propto y
<code class="tex">x \propto y
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ x \propto y $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_x_\propto_y" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∝</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


437行目: 444行目:
<code class="tex">a \gt b
<code class="tex">a \gt b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \gt b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\gt_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&gt;</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


446行目: 453行目:
<code class="tex">a \geq b
<code class="tex">a \geq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \geq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\geq_b" style="width: 2.661em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.099em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.1em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≥</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


455行目: 462行目:
<code class="tex">a \geqq b
<code class="tex">a \geqq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \geqq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\geqq_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≧</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


464行目: 471行目:
<code class="tex">a \lt b
<code class="tex">a \lt b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \lt b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\lt_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


473行目: 480行目:
<code class="tex">a \leq b
<code class="tex">a \leq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \leq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\leq_b" style="width: 2.661em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.099em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.1em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≤</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


482行目: 489行目:
<code class="tex">a \leqq b
<code class="tex">a \leqq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \leqq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\leqq_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≦</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


491行目: 498行目:
<code class="tex">a = b
<code class="tex">a = b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a = b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_=_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


500行目: 507行目:
<code class="tex">a \neq b
<code class="tex">a \neq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \neq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\neq_b" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≠</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


509行目: 516行目:
<code class="tex">a \fallingdotseq b
<code class="tex">a \fallingdotseq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \fallingdotseq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\fallingdotseq_b" style="width: 2.661em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.099em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002.1em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≒</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


518行目: 525行目:
<code class="tex">a \sim b
<code class="tex">a \sim b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \sim b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\sim_b" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∼</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


527行目: 534行目:
<code class="tex">a \simeq b
<code class="tex">a \simeq b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \simeq b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\simeq_b" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≃</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


536行目: 543行目:
<code class="tex">a \approx b
<code class="tex">a \approx b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \approx b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\approx_b" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≈</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


545行目: 552行目:
<code class="tex">a \gg b
<code class="tex">a \gg b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \gg b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\gg_b" style="width: 2.559em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.997em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≫</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


554行目: 561行目:
<code class="tex">a \ll b
<code class="tex">a \ll b
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a \ll b $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a_\ll_b" style="width: 2.559em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.997em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≪</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


563行目: 570行目:
<code class="tex">\max f(x)
<code class="tex">\max f(x)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \max f(x) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\max_f(x)" style="width: 3.991em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.121em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.12em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


572行目: 579行目:
<code class="tex">\min f(x)
<code class="tex">\min f(x)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \min f(x) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\min_f(x)" style="width: 3.94em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.07em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.07em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


588行目: 595行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\max_(_a,_b_)\vbCrLf=\vbCrLf\vbCrLf_\begin{cases}\vbCrLf___a_&_(_a_\geqq_b_)_\\\vbCrLf___b_&_(_a_\lt_b_)\vbCrLf_\end{cases}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 12.274em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.666em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.616em, 1009.67em, 3.121em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 9.359em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1009.36em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 9.359em; height: 0px;"><span style="position: absolute; clip: rect(0.616em, 1009.36em, 3.121em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 4.144em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1000.46em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.656em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.429em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1002.66em, 5.013em, -999.997em); top: -3.986em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 2.661em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.66em, 2.457em, -999.997em); top: -2.656em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≧</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1002.66em, 2.457em, -999.997em); top: -1.429em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.166em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
\max ( a, b )
=
  \begin{cases}
    a & ( a \geqq b ) \\
    b & ( a \lt b )
  \end{cases}
\end{eqnarray} $$
</div>
</div>


610行目: 610行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfaaa_\\\vbCrLfbbb\vbCrLf\end{eqnarray}" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.565em, 1001.74em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.457em, 1001.43em, 5.064em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.707em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -1.378em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.055em;"></span></span></span></div>
aaa \\
bbb
\end{eqnarray} $$
</div>
</div>


625行目: 622行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfaaa_\\[5pt]\vbCrLfbbb\vbCrLf\end{eqnarray}" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.309em, 1001.74em, 3.377em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.201em, 1001.43em, 5.269em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.963em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -1.122em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.49em; border-left: 0px solid; width: 0px; height: 3.705em;"></span></span></span></div>
aaa \\[5pt]
bbb
\end{eqnarray} $$
</div>
</div>


640行目: 634行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfx_+_2x_&=&_3_\\\vbCrLfx_&=&_1\vbCrLf\end{eqnarray}" style="width: 5.064em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.991em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.565em, 1003.99em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.457em, 1002.25em, 5.064em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.707em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.378em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.457em, 1000.77em, 5.064em, -999.997em); top: -3.986em; left: 2.252em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.349em, -999.997em); top: -4.599em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mi"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.349em, -999.997em); top: -3.27em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mi"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.457em, 1000.41em, 5.064em, -999.997em); top: -3.986em; left: 3.275em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.707em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.378em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.055em;"></span></span></span></div>
x + 2x &=& 3 \\
x &=& 1
\end{eqnarray} $$
</div>
</div>


659行目: 650行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\vbCrLf_\left\{\vbCrLf___\begin{array}{l}\vbCrLf_____x_+_y_=_10_\\\vbCrLf_____2x_+_4y_=_32\vbCrLf___\end{array}\vbCrLf_\right.\vbCrLf\vbCrLf\end{eqnarray}" style="width: 6.956em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.473em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1005.47em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 5.167em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1005.17em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 5.167em; height: 0px;"><span style="position: absolute; clip: rect(0.514em, 1005.17em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 4.604em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1004.6em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 4.604em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1003.79em, 2.457em, -999.997em); top: -2.758em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1004.6em, 2.457em, -999.997em); top: -1.327em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
  \left\{
</div>
    \begin{array}{l}
 
      x + y = 10 \\
 
      2x + 4y = 32
    \end{array}
  \right.
\end{eqnarray} $$
</div>
 
 
*場合分け
*場合分け
<freescript></script>
<freescript></script>
682行目: 666行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf|x|\vbCrLf\vbCrLf=\vbCrLf_\begin{cases}\vbCrLf___x_&_(_x_\geqq_0_)_\\\vbCrLf___-x_&_(_x_\lt_0_)\vbCrLf_\end{cases}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 9.359em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.365em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.616em, 1007.37em, 3.121em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.058em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1007.06em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.058em; height: 0px;"><span style="position: absolute; clip: rect(0.616em, 1007.06em, 3.121em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 4.604em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1001.02em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.656em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -1.429em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1002.56em, 5.013em, -999.997em); top: -3.986em; left: 2.048em;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.56em, 2.457em, -999.997em); top: -2.656em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≧</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1002.56em, 2.457em, -999.997em); top: -1.429em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.166em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
|x|
=
  \begin{cases}
    x & ( x \geqq 0 ) \\
    -x & ( x \lt 0 )
  \end{cases}
\end{eqnarray} $$
</div>
</div>


701行目: 678行目:
<code class="tex">x \in A
<code class="tex">x \in A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ x \in A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_x_\in_A" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


710行目: 687行目:
<code class="tex">A \ni x
<code class="tex">A \ni x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \ni x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\ni_x" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∋</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


719行目: 696行目:
<code class="tex">x \notin A
<code class="tex">x \notin A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ x \notin A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_x_\notin_A" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∉</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


728行目: 705行目:
<code class="tex">A \subset B
<code class="tex">A \subset B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \subset B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\subset_B" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊂</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


737行目: 714行目:
<code class="tex">A \subseteq B
<code class="tex">A \subseteq B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \subseteq B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\subseteq_B" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊆</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


746行目: 723行目:
<code class="tex">A \subseteqq B
<code class="tex">A \subseteqq B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \subseteqq B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\subseteqq_B" style="width: 2.815em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.201em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1002.2em, 2.508em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⫅</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


755行目: 732行目:
<code class="tex">A \supset B
<code class="tex">A \supset B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \supset B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\supset_B" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊃</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


764行目: 741行目:
<code class="tex">A \supseteq B
<code class="tex">A \supseteq B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \supseteq B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\supseteq_B" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊇</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


773行目: 750行目:
<code class="tex">A \supseteqq B
<code class="tex">A \supseteqq B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \supseteqq B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\supseteqq_B" style="width: 2.815em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.201em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1002.2em, 2.508em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⫆</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


782行目: 759行目:
<code class="tex">A \not \subset B
<code class="tex">A \not \subset B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \not \subset B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\not_\subset_B" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊄</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


791行目: 768行目:
<code class="tex">A \subsetneqq B
<code class="tex">A \subsetneqq B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \subsetneqq B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\subsetneqq_B" style="width: 2.815em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.201em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1002.2em, 2.508em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⫋</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


800行目: 777行目:
<code class="tex">A \cap B
<code class="tex">A \cap B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \cap B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\cap_B" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∩</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


809行目: 786行目:
<code class="tex">A \cup B
<code class="tex">A \cup B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \cup B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\cup_B" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∪</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


818行目: 795行目:
<code class="tex">\varnothing
<code class="tex">\varnothing
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varnothing $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varnothing" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∅</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


827行目: 804行目:
<code class="tex">\emptyset
<code class="tex">\emptyset
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \emptyset $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\emptyset" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∅</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


836行目: 813行目:
<code class="tex">A^c
<code class="tex">A^c
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A^c $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A^c" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


845行目: 822行目:
<code class="tex">\overline{ A }
<code class="tex">\overline{ A }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overline{ A } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overline{_A_}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.258em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.601em;"></span></span></span></div>
</div>
</div>


854行目: 831行目:
<code class="tex">\overline{ (A\cap B) } = \overline{ A } \cup \overline{ B }
<code class="tex">\overline{ (A\cap B) } = \overline{ A } \cup \overline{ B }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overline{ (A\cap B) } = \overline{ A } \cup \overline{ B } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overline{_(A\cap_B)_}_=_\overline{_A_}_\cup_\overline{_B_}" style="width: 7.416em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.831em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1005.83em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 2.661em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.66em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∩</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 1.281em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.258em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∪</span></span><span class="munderover" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.207em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.601em;"></span></span></span></div>
</div>
</div>


866行目: 843行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\left(_\bigcup\_{\lambda\in\Lambda}A\_{\lambda}_\right)^c\vbCrLf=\bigcap\_{\lambda\in\Lambda}A\_{\lambda}^c\vbCrLf\end{eqnarray}" style="width: 8.695em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.854em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1006.85em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.547em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1006.55em, 5.064em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 6.547em; height: 0px;"><span style="position: absolute; clip: rect(0.872em, 1006.55em, 3.479em, -999.997em); top: -2.401em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 3.173em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.87em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.309em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋃</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.616em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 2.866em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.309em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋂</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -2.605em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.36em, 2.406em, -999.997em); top: -1.685em; left: 0.616em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.055em;"></span></span></span></div>
\left( \bigcup_{\lambda\in\Lambda}A_{\lambda} \right)^c
=\bigcap_{\lambda\in\Lambda}A_{\lambda}^c
\end{eqnarray} $$
</div>
</div>


878行目: 852行目:
<code class="tex">A \setminus B
<code class="tex">A \setminus B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \setminus B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\setminus_B" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∖</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


889行目: 863行目:
= \{ x \in A \mid x \notin B \}
= \{ x \in A \mid x \notin B \}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \setminus B
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\setminus_B\vbCrLf=_A_\cap_B^c\vbCrLf=_\{_x_\in_A_\mid_x_\notin_B_\}" style="width: 14.933em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.762em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1011.76em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∖</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∩</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.514em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∣</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∉</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
= A \cap B^c
= \{ x \in A \mid x \notin B \} $$
</div>
</div>


900行目: 872行目:
<code class="tex">A \triangle B
<code class="tex">A \triangle B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \triangle B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\triangle_B" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1001.89em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


910行目: 882行目:
= (A \setminus B) \cup (B \setminus A)
= (A \setminus B) \cup (B \setminus A)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A \triangle B
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A_\triangle_B\vbCrLf=_(A_\setminus_B)_\cup_(B_\setminus_A)" style="width: 11.507em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.053em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1009.05em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∖</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∪</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∖</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
= (A \setminus B) \cup (B \setminus A) $$
</div>
</div>


920行目: 891行目:
<code class="tex">\mathbb{ N }
<code class="tex">\mathbb{ N }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ N } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_N_}" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


929行目: 900行目:
<code class="tex">\mathbb{ Z }
<code class="tex">\mathbb{ Z }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ Z } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_Z_}" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


938行目: 909行目:
<code class="tex">\mathbb{ Q }
<code class="tex">\mathbb{ Q }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ Q } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_Q_}" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


947行目: 918行目:
<code class="tex">\mathbb{ R }
<code class="tex">\mathbb{ R }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ R } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_R_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


956行目: 927行目:
<code class="tex">\mathbb{ C }
<code class="tex">\mathbb{ C }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ C } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_C_}" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


965行目: 936行目:
<code class="tex">\mathbb{ H }
<code class="tex">\mathbb{ H }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ H } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_H_}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


974行目: 945行目:
<code class="tex">\sup A
<code class="tex">\sup A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sup A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sup_A" style="width: 2.661em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.099em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.1em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


983行目: 954行目:
<code class="tex">\inf A
<code class="tex">\inf A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \inf A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\inf_A" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


992行目: 963行目:
<code class="tex">\aleph
<code class="tex">\aleph
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \aleph $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\aleph" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℵ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,004行目: 975行目:
<code class="tex">P \implies Q
<code class="tex">P \implies Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \implies Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\implies_Q" style="width: 4.451em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.479em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.48em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟹</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,013行目: 984行目:
<code class="tex">P \Rightarrow Q
<code class="tex">P \Rightarrow Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \Rightarrow Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\Rightarrow_Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇒</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,022行目: 993行目:
<code class="tex">P \to Q
<code class="tex">P \to Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \to Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\to_Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,031行目: 1,002行目:
<code class="tex">P \Leftarrow  Q
<code class="tex">P \Leftarrow  Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \Leftarrow  Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\Leftarrow__Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇐</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,040行目: 1,011行目:
<code class="tex">P \gets  Q
<code class="tex">P \gets  Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \gets  Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\gets__Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">←</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,049行目: 1,020行目:
<code class="tex">P \iff Q
<code class="tex">P \iff Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \iff Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\iff_Q" style="width: 4.451em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.479em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.48em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟺</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,058行目: 1,029行目:
<code class="tex">P \Leftrightarrow Q
<code class="tex">P \Leftrightarrow Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \Leftrightarrow Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\Leftrightarrow_Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇔</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,067行目: 1,038行目:
<code class="tex">P \leftrightarrow Q
<code class="tex">P \leftrightarrow Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \leftrightarrow Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\leftrightarrow_Q" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↔</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,076行目: 1,047行目:
<code class="tex">P \equiv Q
<code class="tex">P \equiv Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \equiv Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\equiv_Q" style="width: 2.917em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.303em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.3em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≡</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,085行目: 1,056行目:
<code class="tex">\therefore
<code class="tex">\therefore
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \therefore $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\therefore" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∴</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,094行目: 1,065行目:
<code class="tex">\because
<code class="tex">\because
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \because $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\because" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∵</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,103行目: 1,074行目:
<code class="tex">\forall x
<code class="tex">\forall x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \forall x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\forall_x" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∀</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,112行目: 1,083行目:
<code class="tex">\exists x
<code class="tex">\exists x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \exists x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\exists_x" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∃</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,121行目: 1,092行目:
<code class="tex">\nexists
<code class="tex">\nexists
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \nexists $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\nexists" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∄</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,134行目: 1,105行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf&_&_{}^\forall_\varepsilon_\gt_0,_{}^\exists_\delta_\gt_0_\mbox{_s.t._}_\\\vbCrLf&_&_{}^\forall_x_\in_\mathbb{_R_},_0_\lt_|x_-_a|_\lt_\delta\vbCrLf\implies_|f(x)_-_b|_\lt_\varepsilon_\vbCrLf\end{eqnarray}" style="width: 19.739em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.546em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1015.55em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 15.239em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.224em, 1000em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -4.599em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.116em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.224em, 1000em, 5.013em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -4.599em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.116em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.252em, 1014.98em, 5.218em, -999.997em); top: -3.986em; left: 0.258em;"><span style="display: inline-block; position: relative; width: 14.984em; height: 0px;"><span style="position: absolute; clip: rect(0.974em, 1006.55em, 2.457em, -999.997em); top: -2.707em; left: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -2.503em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∀</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ε</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&gt;</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -2.503em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∃</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">δ</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&gt;</span></span><span class="mn" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mstyle"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1014.98em, 2.457em, -999.997em); top: -1.225em; left: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -2.503em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∀</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">δ</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟹</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 0.258em; display: inline-block; overflow: hidden;"></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&lt;</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ε</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div>
& & {}^\forall \varepsilon \gt 0, {}^\exists \delta \gt 0 \mbox{ s.t. } \\
& & {}^\forall x \in \mathbb{ R }, 0 \lt |x - a| \lt \delta
\implies |f(x) - b| \lt \varepsilon
\end{eqnarray} $$
</div>
</div>


1,147行目: 1,114行目:
<code class="tex">P \land Q
<code class="tex">P \land Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \land Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\land_Q" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.15em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∧</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,156行目: 1,123行目:
<code class="tex">P \lor Q
<code class="tex">P \lor Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \lor Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\lor_Q" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.15em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∨</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,165行目: 1,132行目:
<code class="tex">\lnot P
<code class="tex">\lnot P
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lnot P $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lnot_P" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¬</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,174行目: 1,141行目:
<code class="tex">\overline{ P }
<code class="tex">\overline{ P }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overline{ P } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overline{_P_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.156em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.601em;"></span></span></span></div>
</div>
</div>


1,183行目: 1,150行目:
<code class="tex">!P
<code class="tex">!P
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ !P $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_!P" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,192行目: 1,159行目:
<code class="tex">P \oplus Q
<code class="tex">P \oplus Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \oplus Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\oplus_Q" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.15em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊕</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,201行目: 1,168行目:
<code class="tex">P \veebar Q
<code class="tex">P \veebar Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \veebar Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\veebar_Q" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002.15em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊻</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,210行目: 1,177行目:
<code class="tex">P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q)
<code class="tex">P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\oplus_Q_=_(P_\land_\lnot_Q)_\lor_(\lnot_P_\land_Q)" style="width: 13.961em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.996em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1011em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊕</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∧</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¬</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∨</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¬</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∧</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,219行目: 1,186行目:
<code class="tex">\top
<code class="tex">\top
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \top $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\top" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊤</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,228行目: 1,195行目:
<code class="tex">\bot
<code class="tex">\bot
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bot $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bot" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊥</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,237行目: 1,204行目:
<code class="tex">P \vdash Q
<code class="tex">P \vdash Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \vdash Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\vdash_Q" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.15em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊢</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,246行目: 1,213行目:
<code class="tex">P \models Q
<code class="tex">P \models Q
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P \models Q $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P_\models_Q" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002.25em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊨</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,258行目: 1,225行目:
<code class="tex">{}_n \mathrm{ P }_k
<code class="tex">{}_n \mathrm{ P }_k
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}_n \mathrm{ P }_k $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}\_n_\mathrm{_P_}\_k" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


1,267行目: 1,234行目:
<code class="tex">{}_n \mathrm{ C }_k
<code class="tex">{}_n \mathrm{ C }_k
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}_n \mathrm{ C }_k $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}\_n_\mathrm{_C_}\_k" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.565em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


1,276行目: 1,243行目:
<code class="tex">n!
<code class="tex">n!
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ n! $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_n!" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,285行目: 1,252行目:
<code class="tex">\binom{ n }{ k }
<code class="tex">\binom{ n }{ k }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \binom{ n }{ k } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\binom{_n_}{_k_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.13em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span></span></span></span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.81em; left: 50%; margin-left: -0.253em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.378em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
</div>
</div>


1,294行目: 1,261行目:
<code class="tex">{ n \choose k }
<code class="tex">{ n \choose k }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ { n \choose k } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{_n_\choose_k_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.13em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mrow"><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span></span></span></span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.81em; left: 50%; margin-left: -0.253em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.378em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
</div>
</div>


1,303行目: 1,270行目:
<code class="tex">\dbinom{ n }{ k }
<code class="tex">\dbinom{ n }{ k }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dbinom{ n }{ k } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dbinom{_n_}{_k_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.13em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mrow"><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span></span></span></span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.81em; left: 50%; margin-left: -0.253em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.378em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
</div>
</div>


1,312行目: 1,279行目:
<code class="tex">{}_n \mathrm{ H }_k
<code class="tex">{}_n \mathrm{ H }_k
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}_n \mathrm{ H }_k $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}\_n_\mathrm{_H_}\_k" style="width: 1.792em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


1,325行目: 1,292行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf{}\_n_\mathrm{_C_}\_k\vbCrLf\vbCrLf=_\binom{_n_}{_k_}\vbCrLf=_\frac{_n!_}{_k!_(_n_-_k_)!_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 11.2em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.797em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1008.8em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 8.49em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.355em, 1008.49em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 8.49em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1008.49em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.565em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span></span></span></span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.81em; left: 50%; margin-left: -0.253em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.378em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="TeXmathchoice"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 3.582em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1003.48em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -1.736em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1003.58em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 3.582em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
{}_n \mathrm{ C }_k
= \binom{ n }{ k }
= \frac{ n! }{ k! ( n - k )! }
\end{eqnarray} $$
</div>
</div>


1,342行目: 1,305行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf{}\_n_\mathrm{_P_}\_k\vbCrLf\vbCrLf=_n_\cdot_(_n_-_1_)_\cdots_(_n_-_k_+_1_)\vbCrLf=_\frac{_n!_}{_(_n_-_k_)!_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 19.688em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.495em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1015.5em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 15.188em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.355em, 1015.19em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 15.188em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1015.19em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋅</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 2.917em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1002.82em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -1.378em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1002.92em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.917em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
{}_n \mathrm{ P }_k
= n \cdot ( n - 1 ) \cdots ( n - k + 1 )
= \frac{ n! }{ ( n - k )! }
\end{eqnarray} $$
</div>
</div>


1,358行目: 1,317行目:
<code class="tex">\sum_{i=1}^{n} a_i
<code class="tex">\sum_{i=1}^{n} a_i
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sum_{i=1}^{n} a_i $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sum\_{i=1}^{n}_a\_i" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1001.79em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.054em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∑</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.92em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


1,367行目: 1,326行目:
<code class="tex">\displaystyle \sum_{i=1}^n a_i
<code class="tex">\displaystyle \sum_{i=1}^n a_i
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \displaystyle \sum_{i=1}^n a_i $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\sum\_{i=1}^n_a\_i" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1001.79em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.054em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∑</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.92em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.309em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


1,380行目: 1,339行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\sum\_{_k_=_1_}^{_n_}_k^2\vbCrLf\vbCrLf=_\overbrace{_1^2_+_2^2_+_\cdots_+_n^2_}^{_n_}\vbCrLf=_\frac{_1_}{_6_}_n_(_n_+_1_)_(_2n_+_1_)\vbCrLf\vbCrLf\end{eqnarray}" style="width: 21.682em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.08em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1017.08em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 16.773em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.764em, 1016.77em, 7.468em, -999.997em); top: -5.366em; left: 0em;"><span style="display: inline-block; position: relative; width: 16.773em; height: 0px;"><span style="position: absolute; clip: rect(-1.173em, 1016.77em, 3.479em, -999.997em); top: -1.378em; right: 0em;"><span class="mtd"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.105em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∑</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.02em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.36em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 5.883em; height: 0px;"><span style="position: absolute; clip: rect(1.639em, 1005.88em, 4.349em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 5.883em; height: 0px;"><span style="position: absolute; clip: rect(0.872em, 1005.88em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.514em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -3.525em; left: 2.559em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏞</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -4.548em; left: 2.764em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 5.371em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div>
\sum_{ k = 1 }^{ n } k^2
= \overbrace{ 1^2 + 2^2 + \cdots + n^2 }^{ n }
= \frac{ 1 }{ 6 } n ( n + 1 ) ( 2n + 1 )
\end{eqnarray} $$
</div>
</div>


1,393行目: 1,348行目:
<code class="tex">\prod_{ i = 0 }^n x_i
<code class="tex">\prod_{ i = 0 }^n x_i
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \prod_{ i = 0 }^n x_i $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\prod\_{_i_=_0_}^n_x\_i" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1001.74em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.054em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∏</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.92em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.309em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


1,402行目: 1,357行目:
<code class="tex">\displaystyle \prod_{i=0}^n x_i
<code class="tex">\displaystyle \prod_{i=0}^n x_i
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \displaystyle \prod_{i=0}^n x_i $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\prod\_{i=0}^n_x\_i" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1001.74em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.054em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∏</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.92em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.309em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


1,413行目: 1,368行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfn!_=_\prod\_{_k_=_1_}^n_k\vbCrLf\end{eqnarray}" style="width: 4.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.786em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1003.79em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 3.479em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.15em, 1003.48em, 5.32em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 3.479em; height: 0px;"><span style="position: absolute; clip: rect(0.258em, 1003.48em, 3.479em, -999.997em); top: -2.145em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.105em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∏</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.02em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -3.116em; left: 0.36em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
n! = \prod_{ k = 1 }^n k
\end{eqnarray} $$
</div>
</div>


1,428行目: 1,381行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\zeta_(s)\vbCrLf\vbCrLf=_\prod\_{_p:\mathrm{_prime_}_}\vbCrLf__\frac{_1_}{_1-p^{-s}_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 10.024em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.877em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1007.88em, 3.377em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.57em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.252em, 1007.57em, 5.269em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.57em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1007.57em, 3.479em, -999.997em); top: -2.196em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ζ</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.997em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.82em, 2.559em, -999.997em); top: -2.145em; left: 0.616em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∏</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1002em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">:</span></span><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 2.712em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1002.61em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -1.327em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1002.71em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.712em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.49em; border-left: 0px solid; width: 0px; height: 3.575em;"></span></span></span></div>
\zeta (s)
= \prod_{ p:\mathrm{ prime } }
  \frac{ 1 }{ 1-p^{-s} }
\end{eqnarray} $$
</div>
</div>


1,444行目: 1,393行目:
<code class="tex">2^3
<code class="tex">2^3
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 2^3 $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_2^3" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.756em;"></span></span></span></div>
</div>
</div>


1,453行目: 1,402行目:
<code class="tex">e^{ i \pi }
<code class="tex">e^{ i \pi }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ e^{ i \pi } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_e^{_i_\pi_}" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1001.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.412em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">π</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


1,462行目: 1,411行目:
<code class="tex">\exp ( x )
<code class="tex">\exp ( x )
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \exp ( x ) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\exp_(_x_)" style="width: 2.917em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.303em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.3em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mo"></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,471行目: 1,420行目:
<code class="tex">\sqrt{ 2 }
<code class="tex">\sqrt{ 2 }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sqrt{ 2 } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt{_2_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


1,480行目: 1,429行目:
<code class="tex">\sqrt{ \mathstrut a } + \sqrt{ \mathstrut b }
<code class="tex">\sqrt{ \mathstrut a } + \sqrt{ \mathstrut b }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sqrt{ \mathstrut a } + \sqrt{ \mathstrut b } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt{_\mathstrut_a_}_+_\sqrt{_\mathstrut_b_}" style="width: 4.195em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.275em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1003.27em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.46em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.463em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msqrt" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mpadded"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.46em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.463em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


1,489行目: 1,438行目:
<code class="tex">\sqrt[ n ]{ x }
<code class="tex">\sqrt[ n ]{ x }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sqrt[ n ]{ x } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt[_n_]{_x_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mroot"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.536em, 1000.26em, 2.355em, -999.997em); top: -2.81em; left: 0.054em;"><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.756em;"></span></span></span></div>
</div>
</div>


1,498行目: 1,447行目:
<code class="tex">\log x
<code class="tex">\log x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \log x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\log_x" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.74em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,507行目: 1,456行目:
<code class="tex">\log_{ 2 } x
<code class="tex">\log_{ 2 } x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \log_{ 2 } x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\log\_{_2_}_x" style="width: 2.61em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.048em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.05em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.18em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 1.179em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


1,516行目: 1,465行目:
<code class="tex">\ln x
<code class="tex">\ln x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ln x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ln_x" style="width: 1.792em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,528行目: 1,477行目:
<code class="tex">90^{ \circ }
<code class="tex">90^{ \circ }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ 90^{ \circ } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_90^{_\circ_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">9</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.77em;"><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.756em;"></span></span></span></div>
</div>
</div>


1,537行目: 1,486行目:
<code class="tex">\frac{ \pi }{ 2 }
<code class="tex">\frac{ \pi }{ 2 }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ \pi }{ 2 } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_\pi_}{_2_}" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.77em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">π</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.57em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.565em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


1,546行目: 1,495行目:
<code class="tex">\angle A
<code class="tex">\angle A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \angle A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\angle_A" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1001.23em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∠</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,555行目: 1,504行目:
<code class="tex">AB /\!/ CD
<code class="tex">AB /\!/ CD
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ AB /\!/ CD $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_AB_/\!/_CD" style="width: 3.786em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.968em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">/</span></span></span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">/</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,564行目: 1,513行目:
<code class="tex">AB \parallel CD
<code class="tex">AB \parallel CD
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ AB \parallel CD $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_AB_\parallel_CD" style="width: 4.042em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.173em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.17em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∥</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,573行目: 1,522行目:
<code class="tex">AB \perp CD
<code class="tex">AB \perp CD
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ AB \perp CD $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_AB_\perp_CD" style="width: 4.502em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.531em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.53em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊥</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,582行目: 1,531行目:
<code class="tex">\triangle ABC
<code class="tex">\triangle ABC
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle ABC $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle_ABC" style="width: 3.224em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.508em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002.51em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,591行目: 1,540行目:
<code class="tex">\Box ABCD
<code class="tex">\Box ABCD
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Box ABCD $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Box_ABCD" style="width: 3.837em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.019em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◻</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,600行目: 1,549行目:
<code class="tex">\stackrel{\huge\frown}{AB}
<code class="tex">\stackrel{\huge\frown}{AB}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \stackrel{\huge\frown}{AB} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\stackrel{\huge\frown}{AB}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.179em, 1000.82em, 3.07em, -999.997em); top: -3.832em; left: 0.156em;"><span class="texatom"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mo" style="font-size: 146.4%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌢</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.61em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div>
</div>
</div>


1,609行目: 1,558行目:
<code class="tex">\overparen{AB}
<code class="tex">\overparen{AB}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overparen{AB} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overparen{AB}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -3.219em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏜</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


1,618行目: 1,567行目:
<code class="tex">\triangle ABC \equiv \triangle DEF
<code class="tex">\triangle ABC \equiv \triangle DEF
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle ABC \equiv \triangle DEF $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle_ABC_\equiv_\triangle_DEF" style="width: 7.621em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.985em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1005.99em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≡</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,627行目: 1,576行目:
<code class="tex">\triangle ABC \cong \triangle DEF
<code class="tex">\triangle ABC \cong \triangle DEF
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle ABC \cong \triangle DEF $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle_ABC_\cong_\triangle_DEF" style="width: 7.365em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.78em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1005.78em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≅</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,636行目: 1,585行目:
<code class="tex">\triangle ABC \backsim \triangle DEF
<code class="tex">\triangle ABC \backsim \triangle DEF
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle ABC \backsim \triangle DEF $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle_ABC_\backsim_\triangle_DEF" style="width: 7.314em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.729em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1005.73em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∽</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,645行目: 1,594行目:
<code class="tex">\triangle ABC \sim \triangle DEF
<code class="tex">\triangle ABC \sim \triangle DEF
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle ABC \sim \triangle DEF $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle_ABC_\sim_\triangle_DEF" style="width: 7.314em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.729em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1005.73em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∼</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,657行目: 1,606行目:
<code class="tex">\sin x
<code class="tex">\sin x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sin x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sin_x" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.74em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,666行目: 1,615行目:
<code class="tex">\cos x
<code class="tex">\cos x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cos x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cos_x" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.74em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,675行目: 1,624行目:
<code class="tex">\tan x
<code class="tex">\tan x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \tan x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\tan_x" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,687行目: 1,636行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\sin_45^\circ\vbCrLf\vbCrLf=_\frac{_\sqrt{2}_}{_2_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 6.649em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.218em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.412em, 1005.22em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 4.911em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.303em, 1004.91em, 5.218em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 4.911em; height: 0px;"><span style="position: absolute; clip: rect(0.309em, 1004.91em, 3.224em, -999.997em); top: -1.992em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.77em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∘</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(2.866em, 1001.08em, 4.349em, -999.997em); top: -4.65em; left: 50%; margin-left: -0.509em;"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.043em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.139em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.18em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.179em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
\sin 45^\circ
= \frac{ \sqrt{2} }{ 2 }
\end{eqnarray} $$
</div>
</div>


1,702行目: 1,648行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\cos_\frac{_\pi_}{_3_}\vbCrLf\vbCrLf=_\frac{_1_}{_2_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 5.422em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.246em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1004.25em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 3.94em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.355em, 1003.94em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 3.94em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1003.94em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mo"></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">π</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.57em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.565em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
\cos \frac{ \pi }{ 3 }
= \frac{ 1 }{ 2 }
\end{eqnarray} $$
</div>
</div>


1,717行目: 1,660行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\tan_\theta\vbCrLf\vbCrLf=_\frac{_\sin_\theta_}{_\cos_\theta_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 6.956em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.473em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1005.47em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 5.167em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.355em, 1005.17em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 5.167em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1005.17em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">θ</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1001.74em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.867em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">θ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.867em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">θ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.89em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.894em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
\tan \theta
= \frac{ \sin \theta }{ \cos \theta }
\end{eqnarray} $$
</div>
</div>


1,729行目: 1,669行目:
<code class="tex">\sec x
<code class="tex">\sec x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sec x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sec_x" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,738行目: 1,678行目:
<code class="tex">\csc x
<code class="tex">\csc x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \csc x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\csc_x" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,747行目: 1,687行目:
<code class="tex">\cot x
<code class="tex">\cot x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cot x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cot_x" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.74em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,756行目: 1,696行目:
<code class="tex">\arcsin x
<code class="tex">\arcsin x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \arcsin x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\arcsin_x" style="width: 3.786em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.968em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,765行目: 1,705行目:
<code class="tex">\arccos x
<code class="tex">\arccos x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \arccos x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\arccos_x" style="width: 3.786em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.968em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,774行目: 1,714行目:
<code class="tex">\arctan x
<code class="tex">\arctan x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \arctan x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\arctan_x" style="width: 3.991em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.121em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.12em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,783行目: 1,723行目:
<code class="tex">\sinh x
<code class="tex">\sinh x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sinh x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sinh_x" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,792行目: 1,732行目:
<code class="tex">\cosh x
<code class="tex">\cosh x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cosh x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cosh_x" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,801行目: 1,741行目:
<code class="tex">\tanh x
<code class="tex">\tanh x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \tanh x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\tanh_x" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,810行目: 1,750行目:
<code class="tex">\coth x
<code class="tex">\coth x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \coth x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\coth_x" style="width: 2.815em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.201em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.2em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mo"></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,822行目: 1,762行目:
<code class="tex">a+bi
<code class="tex">a+bi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a+bi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a+bi" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,831行目: 1,771行目:
<code class="tex">\Re x
<code class="tex">\Re x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Re x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Re_x" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mo"></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,840行目: 1,780行目:
<code class="tex">\require{physics} \Re x
<code class="tex">\require{physics} \Re x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \Re x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\Re_x" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mo"></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,849行目: 1,789行目:
<code class="tex">\Im x
<code class="tex">\Im x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Im x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Im_x" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mo"></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,858行目: 1,798行目:
<code class="tex">\require{physics} \Im x
<code class="tex">\require{physics} \Im x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \Im x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\Im_x" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mo"></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,867行目: 1,807行目:
<code class="tex">\bar{z}
<code class="tex">\bar{z}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bar{z} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bar{z}" style="width: 0.463em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -3.219em; left: 0.054em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


1,876行目: 1,816行目:
<code class="tex">\arg (z)
<code class="tex">\arg (z)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \arg (z) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\arg_(z)" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.25em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mo"></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,885行目: 1,825行目:
<code class="tex">\omega
<code class="tex">\omega
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \omega $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\omega" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ω</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


1,896行目: 1,836行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfz\bar{z}_=_|z|^2\vbCrLf\end{eqnarray}" style="width: 4.042em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.173em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.616em, 1003.17em, 3.07em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 2.866em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1002.87em, 4.962em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 2.866em; height: 0px;"><span style="position: absolute; clip: rect(0.003em, 1002.87em, 2.457em, -999.997em); top: -1.48em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -3.219em; left: 0.054em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.16em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.605em; left: 0.156em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.101em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
z\bar{z} = |z|^2
\end{eqnarray} $$
</div>
</div>


1,910行目: 1,848行目:
<code class="tex">\lim_{ x \to +0 } \frac{1}{x} = \infty
<code class="tex">\lim_{ x \to +0 } \frac{1}{x} = \infty
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lim_{ x \to +0 } \frac{1}{x} = \infty $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lim\_{_x_\to_+0_}_\frac{1}{x}_=_\infty" style="width: 5.473em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1004.3em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.54em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div>
</div>
</div>


1,919行目: 1,857行目:
<code class="tex">\displaystyle \lim_{ n \to \infty } f_n(x) = f(x)
<code class="tex">\displaystyle \lim_{ n \to \infty } f_n(x) = f(x)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \displaystyle \lim_{ n \to \infty } f_n(x) = f(x) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\lim\_{_n_\to_\infty_}_f\_n(x)_=_f(x)" style="width: 7.468em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.883em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1005.88em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.105em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.309em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 2.666em;"></span></span></span></div>
</div>
</div>


1,928行目: 1,866行目:
<code class="tex">\limsup_{ n \to \infty } a_n
<code class="tex">\limsup_{ n \to \infty } a_n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \limsup_{ n \to \infty } a_n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\limsup\_{_n_\to_\infty_}_a\_n" style="width: 4.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.786em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.79em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 2.764em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.76em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;"> </span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0.667em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 2.666em;"></span></span></span></div>
</div>
</div>


1,937行目: 1,875行目:
<code class="tex">\varlimsup_{ n \to \infty } a_n
<code class="tex">\varlimsup_{ n \to \infty } a_n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varlimsup_{ n \to \infty } a_n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varlimsup\_{_n_\to_\infty_}_a\_n" style="width: 3.224em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.508em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1002.51em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(2.099em, 1001.28em, 4.349em, -999.997em); top: -3.986em; left: 0.105em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.565em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


1,946行目: 1,884行目:
<code class="tex">\liminf_{ n \to \infty } a_n
<code class="tex">\liminf_{ n \to \infty } a_n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \liminf_{ n \to \infty } a_n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\liminf\_{_n_\to_\infty_}_a\_n" style="width: 4.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.582em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.58em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1002.56em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;"> </span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0.514em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 2.666em;"></span></span></span></div>
</div>
</div>


1,955行目: 1,893行目:
<code class="tex">\varliminf_{ n \to \infty } a_n
<code class="tex">\varliminf_{ n \to \infty } a_n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varliminf_{ n \to \infty } a_n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varliminf\_{_n_\to_\infty_}_a\_n" style="width: 3.224em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.508em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.51em, 4.604em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.28em, 5.525em, -999.997em); top: -3.986em; left: 0.105em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.463em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: 0.003em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.049em; border-left: 0px solid; width: 0px; height: 4.159em;"></span></span></span></div>
</div>
</div>


1,967行目: 1,905行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\varlimsup\_{_n_\to_\infty_}_a\_n\vbCrLf\vbCrLf=_\lim\_{_n_\to_\infty_}_\sup\_{_k_\geqq_n_}_a\_k\vbCrLf\vbCrLf\end{eqnarray}" style="width: 9.973em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.825em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.258em, 1007.83em, 3.428em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.519em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.15em, 1007.52em, 5.32em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.519em; height: 0px;"><span style="position: absolute; clip: rect(2.099em, 1007.52em, 5.32em, -999.997em); top: -3.986em; right: 0em;"><span class="mtd"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(2.099em, 1001.28em, 4.349em, -999.997em); top: -3.986em; left: 0.105em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.565em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.105em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="munderover" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.508em, -999.997em); top: -1.173em; left: 0.105em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≧</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.555em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
\varlimsup_{ n \to \infty } a_n
= \lim_{ n \to \infty } \sup_{ k \geqq n } a_k
\end{eqnarray} $$
</div>
</div>


1,983行目: 1,918行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\varliminf\_{_n_\to_\infty_}_A\_n\vbCrLf\vbCrLf=_\bigcup\_{_n_=_1_}^{_\infty_}_\bigcap\_{_k_=_n_}^{_\infty_}_A\_k\vbCrLf=_\bigcup\_{_n_\in_\mathbb{_N_}_}_\bigcap\_{_k_\geqq_n_}_A\_k\vbCrLf\vbCrLf\end{eqnarray}" style="width: 15.495em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.171em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.304em, 1012.17em, 3.991em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.61em, 1011.87em, 6.905em, -999.997em); top: -5.008em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px;"><span style="position: absolute; clip: rect(3.173em, 1011.87em, 7.519em, -999.997em); top: -5.622em; right: 0em;"><span class="mtd"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.28em, 5.525em, -999.997em); top: -3.986em; left: 0.105em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.463em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.49em, 2.508em, -999.997em); top: 0.003em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.309em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋃</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.08em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.57em, 2.406em, -999.997em); top: -3.116em; left: 0.258em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="munderover" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.309em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋂</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.57em, 2.406em, -999.997em); top: -3.116em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.36em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋃</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.23em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="munderover" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.51em, 2.559em, -999.997em); top: -2.145em; left: 0.309em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋂</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.508em, -999.997em); top: -1.122em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">≧</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.616em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 5.013em;"></span></span></span><span style="display: inline-block; width: 0px; height: 5.013em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.269em; border-left: 0px solid; width: 0px; height: 5.263em;"></span></span></span></div>
\varliminf_{ n \to \infty } A_n
= \bigcup_{ n = 1 }^{ \infty } \bigcap_{ k = n }^{ \infty } A_k
= \bigcup_{ n \in \mathbb{ N } } \bigcap_{ k \geqq n } A_k
\end{eqnarray} $$
</div>
</div>


1,996行目: 1,927行目:
<code class="tex">\mathcal{O}
<code class="tex">\mathcal{O}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathcal{O} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathcal{O}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,008行目: 1,939行目:
<code class="tex">\frac{ dy }{ dx }
<code class="tex">\frac{ dy }{ dx }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ dy }{ dx } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_dy_}{_dx_}" style="width: 1.639em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.28em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,017行目: 1,948行目:
<code class="tex">\frac{ \mathrm{ d } y }{ \mathrm{ d } x }
<code class="tex">\frac{ \mathrm{ d } y }{ \mathrm{ d } x }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ \mathrm{ d } y }{ \mathrm{ d } x } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_\mathrm{_d_}_y_}{_\mathrm{_d_}_x_}" style="width: 1.639em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.28em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,026行目: 1,957行目:
<code class="tex">\require{physics} \dv{y}{x}
<code class="tex">\require{physics} \dv{y}{x}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \dv{y}{x} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\dv{y}{x}" style="width: 1.639em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.28em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,035行目: 1,966行目:
<code class="tex">\frac{ d^n y }{ dx^n }
<code class="tex">\frac{ d^n y }{ dx^n }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ d^n y }{ dx^n } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_d^n_y_}{_dx^n_}" style="width: 2.099em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.639em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1001.64em, 3.275em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.33em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.662em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.28em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.611em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.43em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.434em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.36em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
</div>
</div>


2,044行目: 1,975行目:
<code class="tex">\require{physics} \dv[n]{f}{x}
<code class="tex">\require{physics} \dv[n]{f}{x}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \dv[n]{f}{x} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\dv[n]{f}{x}" style="width: 2.917em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.303em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.3em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.509em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.13em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.127em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,053行目: 1,984行目:
<code class="tex">\left. \frac{dy}{dx} \right|_{x=a}
<code class="tex">\left. \frac{dy}{dx} \right|_{x=a}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \left. \frac{dy}{dx} \right|_{x=a} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\left._\frac{dy}{dx}_\right|\_{x=a}" style="width: 3.786em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.968em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.97em, 3.377em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.968em; height: 0px;"><span style="position: absolute; clip: rect(2.355em, 1001.84em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span class="mrow"><span class="mo"></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.071em; left: 1.843em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.49em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
</div>
</div>


2,062行目: 1,993行目:
<code class="tex">\require{physics} \eval{\dv{y}{x}}_{x=a}
<code class="tex">\require{physics} \eval{\dv{y}{x}}_{x=a}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \eval{\dv{y}{x}}_{x=a} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\eval{\dv{y}{x}}\_{x=a}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.56em, 3.377em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1001.43em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.071em; left: 1.434em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.49em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
</div>
</div>


2,069行目: 2,000行目:
<freescript></script>
<freescript></script>
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">f'
<code class="tex">f^{\prime}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f' $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f^{\prime}" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,080行目: 2,011行目:
<code class="tex">f^{\prime\prime}
<code class="tex">f^{\prime\prime}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f^{\prime\prime} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f^{\prime\prime}" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,089行目: 2,020行目:
<code class="tex">f^{ ( n ) }
<code class="tex">f^{ ( n ) }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f^{ ( n ) } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f^{_(_n_)_}" style="width: 1.536em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1001.18em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,098行目: 2,029行目:
<code class="tex">Df
<code class="tex">Df
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ Df $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_Df" style="width: 1.23em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,107行目: 2,038行目:
<code class="tex">D_x f
<code class="tex">D_x f
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ D_x f $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_D\_x_f" style="width: 1.792em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.667em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,116行目: 2,047行目:
<code class="tex">D^n f
<code class="tex">D^n f
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ D^n f $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_D^n_f" style="width: 1.843em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1001.43em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.667em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,125行目: 2,056行目:
<code class="tex">\dot{y} = \frac{dy}{dt}
<code class="tex">\dot{y} = \frac{dy}{dt}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dot{y} = \frac{dy}{dt} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dot{y}_=_\frac{dy}{dt}" style="width: 3.633em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.866em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1002.87em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.11em, 2.457em, -999.997em); top: -3.219em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">˙</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.834em;"></span></span></span></div>
</div>
</div>


2,134行目: 2,065行目:
<code class="tex">\ddddot{ y } = \frac{ d^4 y }{ dt^4 }
<code class="tex">\ddddot{ y } = \frac{ d^4 y }{ dt^4 }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ddddot{ y } = \frac{ d^4 y }{ dt^4 } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ddddot{_y_}_=_\frac{_d^4_y_}{_dt^4_}" style="width: 3.991em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.121em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1003.12em, 3.275em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -3.219em; left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⃜</span></span><span style="display: inline-block; overflow: hidden; height: 1px; width: 0em;"></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.23em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.611em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.08em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.509em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.309em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">4</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.33em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.332em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.36em; border-left: 0px solid; width: 0px; height: 3.899em;"></span></span></span></div>
</div>
</div>


2,142行目: 2,073行目:
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\begin{eqnarray}
<code class="tex">\begin{eqnarray}
f'(x)
f^{\prime}(x)
  = \frac{ df }{ dx }
  = \frac{ df }{ dx }
  = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
  = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLff^{\prime}(x)\vbCrLf\vbCrLf=_\frac{_df_}{_dx_}\vbCrLf=_\lim\_{_\Delta_x_\to_0_}_\frac{_f(x_+_\Delta_x)_-_f(x)_}{_\Delta_x_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 16.518em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.99em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1012.99em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.252em, 1012.68em, 5.218em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1012.68em, 3.428em, -999.997em); top: -2.196em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.54em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 5.831em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1005.73em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -2.861em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1005.83em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 5.831em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div>
f'(x)
= \frac{ df }{ dx }
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray} $$
</div>
</div>


2,160行目: 2,087行目:
<code class="tex">\frac{ \partial f }{ \partial x }
<code class="tex">\frac{ \partial f }{ \partial x }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ \partial f }{ \partial x } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_\partial_f_}{_\partial_x_}" style="width: 1.536em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.18em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,169行目: 2,096行目:
<code class="tex">\frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z
<code class="tex">\frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_\partial_}{_\partial_y_}_\frac{_\partial_}{_\partial_x_}_z" style="width: 3.582em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.815em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.92em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.02em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.025em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,178行目: 2,105行目:
<code class="tex">\frac{ \partial^n f}{ \partial x^n }
<code class="tex">\frac{ \partial^n f}{ \partial x^n }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{ \partial^n f}{ \partial x^n } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{_\partial^n_f}{_\partial_x^n_}" style="width: 2.048em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1001.59em, 3.275em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.23em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.611em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.28em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.611em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.38em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.383em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.36em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
</div>
</div>


2,187行目: 2,114行目:
<code class="tex">\require{physics} \pdv{f}{x}
<code class="tex">\require{physics} \pdv{f}{x}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \pdv{f}{x} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\pdv{f}{x}" style="width: 1.536em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.18em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,196行目: 2,123行目:
<code class="tex">\require{physics} \pdv{f}{x}{y}
<code class="tex">\require{physics} \pdv{f}{x}{y}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \pdv{f}{x}{y} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\pdv{f}{x}{y}" style="width: 2.099em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.639em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.64em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,205行目: 2,132行目:
<code class="tex">\require{physics} \pdv[n]{f}{x}
<code class="tex">\require{physics} \pdv[n]{f}{x}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \pdv[n]{f}{x} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\pdv[n]{f}{x}" style="width: 2.866em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.252em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1002.25em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.304em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.08em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.076em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,214行目: 2,141行目:
<code class="tex">f_x
<code class="tex">f_x
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f_x $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f\_x" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.309em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,223行目: 2,150行目:
<code class="tex">f_{ xy }
<code class="tex">f_{ xy }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f_{ xy } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f\_{_xy_}" style="width: 1.23em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,232行目: 2,159行目:
<code class="tex">\nabla f
<code class="tex">\nabla f
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \nabla f $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\nabla_f" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∇</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,241行目: 2,168行目:
<code class="tex">\Delta f
<code class="tex">\Delta f
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Delta f $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Delta_f" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,256行目: 2,183行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\Delta_\varphi\vbCrLf\vbCrLf=_\nabla^2_\varphi\vbCrLf=_\frac{_\partial^2_\varphi_}{_\partial_x^2_}\vbCrLf__+_\frac{_\partial^2_\varphi_}{_\partial_y^2_}\vbCrLf__+_\frac{_\partial^2_\varphi_}{_\partial_z^2_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 15.597em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.274em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1012.27em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.967em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.252em, 1011.97em, 5.218em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.967em; height: 0px;"><span style="position: absolute; clip: rect(0.36em, 1011.97em, 3.275em, -999.997em); top: -2.043em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="msubsup" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∇</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.565em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.38em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.662em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.18em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.49em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.485em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.38em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.662em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.23em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.611em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.49em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.485em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.025em, 1001.38em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.662em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.076em, 1001.13em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∂</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.401em; left: 0.36em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.49em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.485em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.445em;"></span></span></span></div>
\Delta \varphi
= \nabla^2 \varphi
= \frac{ \partial^2 \varphi }{ \partial x^2 }
  + \frac{ \partial^2 \varphi }{ \partial y^2 }
  + \frac{ \partial^2 \varphi }{ \partial z^2 }
\end{eqnarray} $$
</div>
</div>


2,272行目: 2,193行目:
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   \hline
   \hline
   f’(x) & + & 0 & – & 0 & + \\  
   f^{\prime}(x) & + & 0 & – & 0 & + \\  
   \hline
   \hline
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{c|ccccc}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div>
  x    & \cdots & -1 & \cdots & 1 & \cdots \\  
  \hline
  f’(x) & + & 0 & & 0 & + \\  
  \hline
  f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array} $$
</div>
</div>


2,295行目: 2,210行目:
<code class="tex">\int_0^1 f(x) dx
<code class="tex">\int_0^1 f(x) dx
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \int_0^1 f(x) dx $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\int\_0^1_f(x)_dx" style="width: 4.042em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.173em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1003.17em, 2.815em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∫</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -2.605em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -1.685em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.776em; border-left: 0px solid; width: 0px; height: 2.146em;"></span></span></span></div>
</div>
</div>


2,304行目: 2,219行目:
<code class="tex">\displaystyle \int_{-\infty}^{ \infty } f(x) dx
<code class="tex">\displaystyle \int_{-\infty}^{ \infty } f(x) dx
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \displaystyle \int_{-\infty}^{ \infty } f(x) dx $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\int\_{-\infty}^{_\infty_}_f(x)_dx" style="width: 4.962em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.888em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1003.89em, 2.815em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∫</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.62em, 2.406em, -999.997em); top: -2.605em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.02em, 2.406em, -999.997em); top: -1.685em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.776em; border-left: 0px solid; width: 0px; height: 2.146em;"></span></span></span></div>
</div>
</div>


2,317行目: 2,232行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\int\_0^1_x_dx\vbCrLf=_\left[_\frac{x^2}{2}_\right]\_0^1\vbCrLf=_\frac{1}{2}\vbCrLf\end{eqnarray}" style="width: 9.308em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.314em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.156em, 1007.31em, 3.531em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.007em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.099em, 1007.01em, 5.473em, -999.997em); top: -4.037em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.007em; height: 0px;"><span style="position: absolute; clip: rect(0.054em, 1007.01em, 3.377em, -999.997em); top: -1.992em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∫</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -2.605em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -1.685em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="msubsup" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(0.36em, 1001.54em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(2.917em, 1000.72em, 4.349em, -999.997em); top: -4.65em; left: 50%; margin-left: -0.355em;"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.87em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.872em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -3.423em; left: 1.536em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -1.071em; left: 1.536em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.042em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.685em; border-left: 0px solid; width: 0px; height: 4.029em;"></span></span></span></div>
\int_0^1 x dx
= \left[ \frac{x^2}{2} \right]_0^1
= \frac{1}{2}
\end{eqnarray} $$
</div>
</div>


2,330行目: 2,241行目:
<code class="tex">\iint_D f(x,y) dxdy
<code class="tex">\iint_D f(x,y) dxdy
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \iint_D f(x,y) dxdy $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\iint\_D_f(x,y)_dxdy" style="width: 6.854em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.371em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1005.37em, 2.661em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.67em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∬</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; top: -1.787em; left: 0.667em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


2,339行目: 2,250行目:
<code class="tex">\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n
<code class="tex">\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\idotsint\_D_f(x\_1,_x\_2,_\ldots_,_x\_n)_dx\_1_\cdots_dx\_n" style="width: 13.961em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.996em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1011em, 2.712em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∫</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∫</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; top: -1.787em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


2,348行目: 2,259行目:
<code class="tex">\oint_C f(z) dz
<code class="tex">\oint_C f(z) dz
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \oint_C f(z) dz $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\oint\_C_f(z)_dz" style="width: 4.093em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.224em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.22em, 2.661em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.23em, 1000.46em, 2.559em, -999.997em); top: -2.145em; left: 0em;"><span class="mo" style="vertical-align: -0.049em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∮</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span><span style="position: absolute; top: -1.787em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


2,360行目: 2,271行目:
<code class="tex">\vec{ a }
<code class="tex">\vec{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vec{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vec{_a_}" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


2,369行目: 2,280行目:
<code class="tex">\overrightarrow{ AB }
<code class="tex">\overrightarrow{ AB }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overrightarrow{ AB } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overrightarrow{_AB_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0.207em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


2,378行目: 2,289行目:
<code class="tex">\boldsymbol{ A }
<code class="tex">\boldsymbol{ A }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boldsymbol{ A } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boldsymbol{_A_}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,387行目: 2,298行目:
<code class="tex">( a_1, a_2, \ldots, a_n )
<code class="tex">( a_1, a_2, \ldots, a_n )
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ ( a_1, a_2, \ldots, a_n ) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_(_a\_1,_a\_2,_\ldots,_a\_n_)" style="width: 6.24em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.911em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1004.91em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="msubsup" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,403行目: 2,314行目:
\right)
\right)
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \left(
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\left(\vbCrLf\vbCrLf_\begin{array}{c}\vbCrLf___a\_1_\\\vbCrLf___a\_2_\\\vbCrLf___\vdots_\\\vbCrLf___a\_n\vbCrLf_\end{array}\vbCrLf\vbCrLf\right)" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.173em, 1001.79em, 4.86em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.428em, 1000.87em, 9.462em, -999.997em); top: -6.695em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.502em, -999.997em); top: -6.286em; left: 50%; margin-left: -0.406em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.502em, -999.997em); top: -4.701em; left: 50%; margin-left: -0.406em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -1.429em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.87em, 4.502em, -999.997em); top: -1.736em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.701em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.373em; border-left: 0px solid; width: 0px; height: 7.341em;"></span></span></span></div>
  \begin{array}{c}
    a_1 \\
    a_2 \\
    \vdots \\
    a_n
  \end{array}
\right) $$
</div>
</div>


2,430行目: 2,334行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\boldsymbol{_1_}\vbCrLf=(_\underbrace{_1,_1,_\ldots,_1_}\_{_n_}_)^{_\mathrm{_T_}_}\vbCrLf=\left(\vbCrLf\vbCrLf__\begin{array}{c}\vbCrLf____1_\\\vbCrLf____1_\\\vbCrLf____\vdots_\\\vbCrLf____1\vbCrLf__\end{array}\vbCrLf\right)\vbCrLf\vbCrLf\end{eqnarray}" style="width: 10.484em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.234em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.918em, 1008.23em, 4.604em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.928em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.173em, 1007.93em, 8.695em, -999.997em); top: -6.184em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.928em; height: 0px;"><span style="position: absolute; clip: rect(-0.918em, 1007.93em, 4.604em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="munderover"><span style="display: inline-block; position: relative; width: 3.07em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1003.07em, 5.525em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 3.07em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1003.07em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -0.918em; left: 1.127em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏟</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.36em, 2.508em, -999.997em); top: 0.003em; left: 1.332em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.173em, 1000.41em, 8.695em, -999.997em); top: -6.184em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.139em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.049em; border-left: 0px solid; width: 0px; height: 6.756em;"></span></span></span></div>
\boldsymbol{ 1 }
=( \underbrace{ 1, 1, \ldots, 1 }_{ n } )^{ \mathrm{ T } }
=\left(
  \begin{array}{c}
    1 \\
    1 \\
    \vdots \\
    1
  \end{array}
\right)
\end{eqnarray} $$
</div>
</div>


2,451行目: 2,344行目:
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}}
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boldsymbol{ \rm{ e } }_k
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boldsymbol{_\rm{_e_}_}\_k\vbCrLf=(_0,_\ldots,_0,_\stackrel{k}{_1_},_0,_\ldots,_0_)^{\mathrm{T}}" style="width: 10.944em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.592em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1008.59em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.838em; left: 0.412em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="texatom" style="padding-left: 0.156em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.31em, 2.406em, -999.997em); top: -3.168em; left: 0.054em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span><span class="mo" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="padding-left: 0.156em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 2.795em;"></span></span></span></div>
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}} $$
</div>
</div>


2,461行目: 2,353行目:
<code class="tex">\| x \|
<code class="tex">\| x \|
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \| x \| $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\|_x_\|" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,470行目: 2,362行目:
<code class="tex">\require{physics} \norm{ \dfrac{1}{2} }
<code class="tex">\require{physics} \norm{ \dfrac{1}{2} }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{physics} \norm{ \dfrac{1}{2} } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\require{physics}_\norm{_\dfrac{1}{2}_}" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.33em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


2,479行目: 2,371行目:
<code class="tex">\vec{ a } \cdot \vec{ b }
<code class="tex">\vec{ a } \cdot \vec{ b }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vec{ a } \cdot \vec{ b } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vec{_a_}_\cdot_\vec{_b_}" style="width: 2.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.15em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1002.15em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋅</span></span><span class="texatom" style="padding-left: 0.207em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


2,488行目: 2,380行目:
<code class="tex">\vec{ a } \times \vec{ b }
<code class="tex">\vec{ a } \times \vec{ b }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vec{ a } \times \vec{ b } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vec{_a_}_\times_\vec{_b_}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1002.56em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="texatom" style="padding-left: 0.207em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


2,503行目: 2,395行目:
\end{pmatrix}
\end{pmatrix}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{pmatrix}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{pmatrix}\vbCrLfa_&_b_\\\vbCrLfc_&_d\vbCrLf\end{pmatrix}" style="width: 3.633em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.866em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1002.87em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
a & b \\
c & d
\end{pmatrix} $$
</div>
</div>


2,518行目: 2,407行目:
\end{bmatrix}
\end{bmatrix}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{bmatrix}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{bmatrix}\vbCrLfa_&_b_\\\vbCrLfc_&_d\vbCrLf\end{bmatrix}" style="width: 3.479em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.712em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1002.71em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
a & b \\
c & d
\end{bmatrix} $$
</div>
</div>


2,533行目: 2,419行目:
\end{vmatrix}
\end{vmatrix}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{vmatrix}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{vmatrix}\vbCrLfa_&_b_\\\vbCrLfc_&_d\vbCrLf\end{vmatrix}" style="width: 3.326em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.61em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1002.61em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
a & b \\
c & d
\end{vmatrix} $$
</div>
</div>


2,545行目: 2,428行目:
<code class="tex">A^{ \mathrm{ T } }
<code class="tex">A^{ \mathrm{ T } }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A^{ \mathrm{ T } } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A^{_\mathrm{_T_}_}" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.616em;"><span class="texatom"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,554行目: 2,437行目:
<code class="tex">{}^t \! A
<code class="tex">{}^t \! A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}^t \! A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}^t_\!_A" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.309em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -2.503em; left: 0em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


2,563行目: 2,446行目:
<code class="tex">\dim
<code class="tex">\dim
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dim $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dim" style="width: 1.894em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.485em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.49em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,572行目: 2,455行目:
<code class="tex">\mathrm{ rank } A
<code class="tex">\mathrm{ rank } A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathrm{ rank } A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathrm{_rank_}_A" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,581行目: 2,464行目:
<code class="tex">\mathrm{ Tr } A
<code class="tex">\mathrm{ Tr } A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathrm{ Tr } A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathrm{_Tr_}_A" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,590行目: 2,473行目:
<code class="tex">\mathrm{ det }A
<code class="tex">\mathrm{ det }A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathrm{ det }A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathrm{_det_}A" style="width: 2.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.792em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.79em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,604行目: 2,487行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\mathrm{_det_}A\vbCrLf\vbCrLf=_|_A_|\vbCrLf=_\begin{vmatrix}_a_&_b_\\_c_&_d_\end{vmatrix}\vbCrLf=_ad_-_bc\vbCrLf\vbCrLf\end{eqnarray}" style="width: 15.035em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.814em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1011.81em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.507em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1011.51em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.507em; height: 0px;"><span style="position: absolute; clip: rect(0.514em, 1011.51em, 3.224em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="texatom" style="padding-left: 0.258em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1000.46em, 5.116em, -999.997em); top: -3.986em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
\mathrm{ det }A
= | A |
= \begin{vmatrix} a & b \\ c & d \end{vmatrix}
= ad - bc
\end{eqnarray} $$
</div>
</div>


2,622行目: 2,500行目:
\end{pmatrix}
\end{pmatrix}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{pmatrix}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{pmatrix}\vbCrLf\vbCrLf_a_&_b_&_c_\\\vbCrLf_d_&_e_&_f_\\\vbCrLf_g_&_h_&_I\vbCrLf\vbCrLf\end{pmatrix}" style="width: 5.473em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.202em, 1004.3em, 3.888em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 3.377em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1000.46em, 6.598em, -999.997em); top: -4.804em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1000.51em, 6.598em, -999.997em); top: -4.804em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1000.41em, 6.598em, -999.997em); top: -4.804em; left: 2.968em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.14em; border-left: 0px solid; width: 0px; height: 4.938em;"></span></span></span></div>
  a & b & c \\
  d & e & f \\
  g & h & I
\end{pmatrix} $$
</div>
</div>


2,643行目: 2,517行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\left(\vbCrLf\vbCrLf_\begin{array}{ccc}\vbCrLf___a_&_b_&_c_\\\vbCrLf___d_&_e_&_f_\\\vbCrLf___g_&_h_&_i\vbCrLf_\end{array}\vbCrLf\vbCrLf\right)\vbCrLf\end{eqnarray}" style="width: 5.883em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.604em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.202em, 1004.6em, 3.888em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1004.3em, 6.598em, -999.997em); top: -4.804em; left: 0em;"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px;"><span style="position: absolute; clip: rect(-0.202em, 1004.3em, 3.888em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 3.377em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1000.46em, 6.598em, -999.997em); top: -4.804em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1000.51em, 6.598em, -999.997em); top: -4.804em; left: 1.485em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1000.41em, 6.598em, -999.997em); top: -4.804em; left: 2.968em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.14em; border-left: 0px solid; width: 0px; height: 4.938em;"></span></span></span></div>
\left(
</div>
  \begin{array}{ccc}
 
    a & b & c \\
 
    d & e & f \\
    g & h & i
  \end{array}
\right)
\end{eqnarray} $$
</div>
 
 
*行列(右寄せ)
*行列(右寄せ)
<freescript></script>
<freescript></script>
2,668行目: 2,534行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\left(\vbCrLf\vbCrLf_\begin{array}{rrr}\vbCrLf___111_&_111_&_111_\\\vbCrLf___22_&_0.2_&_-2_\\\vbCrLf___3_&_3_&_3\vbCrLf_\end{array}\vbCrLf\vbCrLf\right)\vbCrLf\end{eqnarray}" style="width: 8.592em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.202em, 1006.75em, 3.888em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.445em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1006.45em, 6.598em, -999.997em); top: -4.804em; left: 0em;"><span style="display: inline-block; position: relative; width: 6.445em; height: 0px;"><span style="position: absolute; clip: rect(-0.202em, 1006.45em, 3.888em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 5.525em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.508em, 1001.18em, 6.598em, -999.997em); top: -4.804em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.18em, 2.457em, -999.997em); top: -3.423em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.043em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.662em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1001.18em, 6.598em, -999.997em); top: -4.804em; left: 2.201em;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.18em, 2.457em, -999.997em); top: -3.423em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -2.043em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">.</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.662em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span><span style="position: absolute; clip: rect(2.508em, 1001.18em, 6.598em, -999.997em); top: -4.804em; left: 4.349em;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.18em, 2.457em, -999.997em); top: -3.423em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -2.043em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.662em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.809em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.14em; border-left: 0px solid; width: 0px; height: 4.938em;"></span></span></span></div>
\left(
  \begin{array}{rrr}
    111 & 111 & 111 \\
    22 & 0.2 & -2 \\
    3 & 3 & 3
  \end{array}
\right)
\end{eqnarray} $$
</div>
</div>


2,694行目: 2,552行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfA_=_\left(\vbCrLf\vbCrLf_\begin{array}{cccc}\vbCrLf___a\_{_11_}_&_a\_{_12_}_&_\ldots_&_a\_{_1n_}_\\\vbCrLf___a\_{_21_}_&_a\_{_22_}_&_\ldots_&_a\_{_2n_}_\\\vbCrLf___\vdots_&_\vdots_&_\ddots_&_\vdots_\\\vbCrLf___a\_{_m1_}_&_a\_{_m2_}_&_\ldots_&_a\_{_mn_}\vbCrLf_\end{array}\vbCrLf\vbCrLf\right)\vbCrLf\end{eqnarray}" style="width: 13.45em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.586em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.173em, 1010.59em, 4.86em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 10.28em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.428em, 1010.28em, 9.462em, -999.997em); top: -6.695em; left: 0em;"><span style="display: inline-block; position: relative; width: 10.28em; height: 0px;"><span style="position: absolute; clip: rect(-1.173em, 1010.28em, 4.86em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mrow" style="padding-left: 0.258em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 7.621em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.428em, 1001.28em, 9.462em, -999.997em); top: -6.695em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.08em, 4.502em, -999.997em); top: -6.286em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.08em, 4.502em, -999.997em); top: -4.701em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -1.429em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.28em, 4.502em, -999.997em); top: -1.736em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.701em;"></span></span><span style="position: absolute; clip: rect(3.428em, 1001.28em, 9.462em, -999.997em); top: -6.695em; left: 2.303em;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.08em, 4.502em, -999.997em); top: -6.286em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.08em, 4.502em, -999.997em); top: -4.701em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -1.429em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.28em, 4.502em, -999.997em); top: -1.736em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.701em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1000.62em, 9.155em, -999.997em); top: -6.542em; left: 4.604em;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -4.395em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.81em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -1.276em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: 0.156em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.547em;"></span></span><span style="position: absolute; clip: rect(3.428em, 1001.38em, 9.462em, -999.997em); top: -6.695em; left: 6.24em;"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.18em, 4.502em, -999.997em); top: -6.286em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.18em, 4.502em, -999.997em); top: -4.701em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -1.429em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.38em, 4.502em, -999.997em); top: -1.736em; left: 50%; margin-left: -0.713em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.383em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.701em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.701em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.373em; border-left: 0px solid; width: 0px; height: 7.341em;"></span></span></span></div>
A = \left(
  \begin{array}{cccc}
    a_{ 11 } & a_{ 12 } & \ldots & a_{ 1n } \\
    a_{ 21 } & a_{ 22 } & \ldots & a_{ 2n } \\
    \vdots & \vdots & \ddots & \vdots \\
    a_{ m1 } & a_{ m2 } & \ldots & a_{ mn }
  \end{array}
\right)
\end{eqnarray} $$
</div>
</div>


2,722行目: 2,571行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\left(\vbCrLf\vbCrLf_\begin{array}{cc|cc}\vbCrLf___a_&_b_&_0_&_0_\\\vbCrLf___c_&_d_&_0_&_0_\\\vbCrLf___\hline\vbCrLf___x_&_y_&_1_&_0_\\\vbCrLf___z_&_w_&_0_&_1_\\\vbCrLf_\end{array}\vbCrLf\vbCrLf\right)\vbCrLf\end{eqnarray}" style="width: 8.848em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.956em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.122em, 1006.96em, 4.809em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.649em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.428em, 1006.65em, 9.359em, -999.997em); top: -6.644em; left: 0em;"><span style="display: inline-block; position: relative; width: 6.649em; height: 0px;"><span style="position: absolute; clip: rect(-1.122em, 1006.65em, 4.809em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 5.729em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.173em, 1000.46em, 8.695em, -999.997em); top: -6.184em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -4.139em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span><span style="position: absolute; clip: rect(3.173em, 1000.67em, 8.695em, -999.997em); top: -6.184em; left: 1.843em;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -4.139em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span><span style="position: absolute; clip: rect(3.173em, 1000.41em, 8.695em, -999.997em); top: -6.184em; left: 3.531em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.139em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span><span style="position: absolute; clip: rect(3.173em, 1000.41em, 8.695em, -999.997em); top: -6.184em; left: 4.911em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.139em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.189em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 5.627em; position: absolute; top: -3.065em; left: 3.019em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 5.729em; height: 0px; position: absolute; top: -0.304em; left: 0em;"></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.649em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.308em; border-left: 0px solid; width: 0px; height: 7.276em;"></span></span></span></div>
\left(
  \begin{array}{cc|cc}
    a & b & 0 & 0 \\
    c & d & 0 & 0 \\
    \hline
    x & y & 1 & 0 \\
    z & w & 0 & 1 \\
  \end{array}
\right)
\end{eqnarray} $$
</div>
</div>


2,749行目: 2,588行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\begin{pmatrix}\vbCrLf\vbCrLf_\lambda_&_1_&___&__&_0_\\\vbCrLf___&_\lambda_&_1_&___&___\\\vbCrLf___&___&_\ddots_&_\ddots_&___\\\vbCrLf___&___&___&_\lambda_&_1__\\\vbCrLf_0_&___&___&___&_\lambda\vbCrLf\vbCrLf\end{pmatrix}\vbCrLf\end{eqnarray}" style="width: 9.513em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.468em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.582em, 1007.47em, 5.32em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.161em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.94em, 1007.16em, 10.842em, -999.997em); top: -7.616em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.161em; height: 0px;"><span style="position: absolute; clip: rect(-1.582em, 1007.16em, 5.32em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 6.24em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.94em, 1000.41em, 10.842em, -999.997em); top: -7.616em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.855em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -5.315em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.934em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -2.554em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.77em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.621em;"></span></span><span style="position: absolute; clip: rect(3.735em, 1000.41em, 10.433em, -999.997em); top: -7.411em; left: 1.434em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.855em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.934em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -2.554em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -1.122em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.416em;"></span></span><span style="position: absolute; clip: rect(3.684em, 1000.51em, 9.615em, -999.997em); top: -6.593em; left: 2.815em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -6.747em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.423em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -2.554em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -1.122em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.598em;"></span></span><span style="position: absolute; clip: rect(3.684em, 1000.51em, 9.615em, -999.997em); top: -6.593em; left: 4.349em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -6.747em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -5.315em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.043em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -1.122em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.598em;"></span></span><span style="position: absolute; clip: rect(3.94em, 1000.41em, 10.842em, -999.997em); top: -7.616em; left: 5.831em;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -4.855em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -5.315em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.934em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.662em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.77em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.621em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.621em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.958em; border-left: 0px solid; width: 0px; height: 8.51em;"></span></span></span></div>
\begin{pmatrix}
</div>
  \lambda & 1 &   & & 0 \\
 
    & \lambda & 1 &   &   \\
 
    &   & \ddots & \ddots &   \\
    &   &   & \lambda & \\
  0 &   &   &   & \lambda
\end{pmatrix}
\end{eqnarray} $$
</div>
 
 
*余因子
*余因子
<freescript></script>
<freescript></script>
2,777行目: 2,608行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf&_&_(-1)^{_i+j_}_\times_\\[5pt]\vbCrLf&_&_\quad\vbCrLf\begin{vmatrix}\vbCrLf\vbCrLf_a\_{1,1}_&_\ldots_&_a\_{1,j-1}_&_a\_{1,j+1}_&_\ldots_&_a\_{1,n}_\\\vbCrLf_\vdots_&_\ddots_&_\vdots_&_\vdots_&_\ddots_&_\vdots_\\\vbCrLf_a\_{i-1,1}_&_\ldots_&_a\_{i-1,_j-1}_&_a\_{i-1,_j+1}_&_\ldots_&_a\_{i-1,_n}_\\\vbCrLf_a\_{i+1,1}_&_\ldots_&_a\_{i+1,_j-1}_&_a\_{i+1,_j+1}_&_\ldots_&_a\_{i+1,_n}_\\\vbCrLf_\vdots_&_\ddots_&_\vdots_&_\vdots_&_\ddots_&_\vdots_\\\vbCrLf_a\_{n,1}_&_\ldots_&_a\_{n,_j-1}_&_a\_{n,_j+1}_&_\ldots_&_a\_{n,_n}\vbCrLf\vbCrLf\end{vmatrix}\vbCrLf\end{eqnarray}" style="width: 21.988em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.284em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-3.628em, 1017.28em, 7.314em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 16.978em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(1.843em, 1000em, 7.723em, -999.997em); top: -6.593em; left: 0em;"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -8.587em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.014em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.598em;"></span></span><span style="position: absolute; clip: rect(1.843em, 1000em, 7.723em, -999.997em); top: -6.593em; left: 0em;"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -8.587em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.014em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.598em;"></span></span><span style="position: absolute; clip: rect(5.883em, 1016.72em, 16.824em, -999.997em); top: -11.604em; left: 0.258em;"><span style="display: inline-block; position: relative; width: 16.722em; height: 0px;"><span style="position: absolute; clip: rect(0.974em, 1003.07em, 2.457em, -999.997em); top: -6.695em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(-2.605em, 1016.72em, 6.343em, -999.997em); top: -1.122em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.025em; display: inline-block; overflow: hidden;"></span><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mtable"><span style="display: inline-block; position: relative; width: 15.035em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(4.962em, 1001.84em, 13.91em, -999.997em); top: -9.661em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.23em, 4.502em, -999.997em); top: -7.769em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -4.446em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.84em, 4.502em, -999.997em); top: -4.804em; left: 50%; margin-left: -0.918em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.84em, 4.502em, -999.997em); top: -3.219em; left: 50%; margin-left: -0.918em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.33em, 4.502em, -999.997em); top: -0.253em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.666em;"></span></span><span style="position: absolute; clip: rect(4.809em, 1000.62em, 13.603em, -999.997em); top: -9.508em; left: 2.866em;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -5.877em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -4.292em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: 0.207em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: 1.639em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.513em;"></span></span><span style="position: absolute; clip: rect(4.962em, 1002.46em, 13.91em, -999.997em); top: -9.661em; left: 4.502em;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.84em, 4.502em, -999.997em); top: -7.769em; left: 50%; margin-left: -0.918em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -4.446em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1002.46em, 4.502em, -999.997em); top: -4.804em; left: 50%; margin-left: -1.225em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1002.46em, 4.502em, -999.997em); top: -3.219em; left: 50%; margin-left: -1.225em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.95em, 4.502em, -999.997em); top: -0.253em; left: 50%; margin-left: -0.969em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.666em;"></span></span><span style="position: absolute; clip: rect(4.962em, 1002.46em, 13.91em, -999.997em); top: -9.661em; left: 7.979em;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.84em, 4.502em, -999.997em); top: -7.769em; left: 50%; margin-left: -0.918em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -4.446em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1002.46em, 4.502em, -999.997em); top: -4.804em; left: 50%; margin-left: -1.225em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1002.46em, 4.502em, -999.997em); top: -3.219em; left: 50%; margin-left: -1.225em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.95em, 4.502em, -999.997em); top: -0.253em; left: 50%; margin-left: -0.969em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.666em;"></span></span><span style="position: absolute; clip: rect(4.809em, 1000.62em, 13.603em, -999.997em); top: -9.508em; left: 11.456em;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -5.877em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -4.292em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: 0.207em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: 1.639em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.513em;"></span></span><span style="position: absolute; clip: rect(4.962em, 1001.95em, 13.91em, -999.997em); top: -9.661em; left: 13.041em;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1001.33em, 4.502em, -999.997em); top: -7.769em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -4.446em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.95em, 4.502em, -999.997em); top: -4.804em; left: 50%; margin-left: -0.969em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.95em, 4.502em, -999.997em); top: -3.219em; left: 50%; margin-left: -0.969em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: 0.054em; left: 50%; margin-left: -0.151em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1001.43em, 4.502em, -999.997em); top: -0.253em; left: 50%; margin-left: -0.713em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">,</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 9.666em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 11.609em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -6.49em; border-left: 0px solid; width: 0px; height: 13.64em;"></span></span></span></div>
& & (-1)^{ i+j } \times \\[5pt]
& & \quad
\begin{vmatrix}
  a_{1,1} & \ldots & a_{1,j-1} & a_{1,j+1} & \ldots & a_{1,n} \\
  \vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\
  a_{i-1,1} & \ldots & a_{i-1, j-1} & a_{i-1, j+1} & \ldots & a_{i-1, n} \\
  a_{i+1,1} & \ldots & a_{i+1, j-1} & a_{i+1, j+1} & \ldots & a_{i+1, n} \\
  \vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\
  a_{n,1} & \ldots & a_{n, j-1} & a_{n, j+1} & \ldots & a_{n, n}
\end{vmatrix}
\end{eqnarray} $$
</div>
</div>


2,803行目: 2,623行目:
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{ccc}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{ccc}\vbCrLf\vbCrLf_xxx_&_yyy_&_zzz_\\\vbCrLf_1___&_2___&_3\vbCrLf\vbCrLf\end{array}" style="width: 7.723em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.087em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.514em, 1006.09em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 5.78em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.406em, 1001.23em, 5.116em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.43em, 5.116em, -999.997em); top: -3.986em; left: 2.252em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.713em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.13em, 5.116em, -999.997em); top: -3.986em; left: 4.655em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.185em;"></span></span></span></div>
  xxx & yyy & zzz \\
  1  & & 3
\end{array} $$
</div>
</div>


2,818行目: 2,635行目:
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{|c|c|c|}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{|c|c|c|}\vbCrLf\vbCrLf_xxx_&_yyy_&_zzz_\\\vbCrLf_1___&_2___&_3_\\\vbCrLf\vbCrLf\end{array}" style="width: 8.592em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1006.75em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px;"><span  style="border-width: 1.5px 0.054em; border-style: none solid; border-color: initial; border-image: initial; display: inline-block; overflow: hidden; width: 6.598em; height: 2.968em; vertical-align: -0.049em; position: absolute; top: -1.736em; left: 0em;"></span><span style="position: absolute; clip: rect(2.15em, 1006.19em, 5.32em, -999.997em); top: -3.986em; left: 0.054em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.598em; height: 0px;"><span style="position: absolute; clip: rect(2.406em, 1001.23em, 5.116em, -999.997em); top: -3.986em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.43em, 5.116em, -999.997em); top: -3.986em; left: 2.61em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.713em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.13em, 5.116em, -999.997em); top: -3.986em; left: 5.064em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 2.815em; position: absolute; top: -1.685em; left: 2.15em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 2.815em; position: absolute; top: -1.685em; left: 4.553em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.899em;"></span></span></span></div>
  xxx & yyy & zzz \\
  1  & & 3 \\
\end{array} $$
</div>
</div>


2,836行目: 2,650行目:
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{ccc}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{ccc}\vbCrLf\vbCrLf_\hline\vbCrLf_xxx_&_yyy_&_zzz_\\\vbCrLf_\hline\vbCrLf_1___&_2___&_3_\\\vbCrLf_\hline\vbCrLf\vbCrLf\end{array}" style="width: 8.592em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1006.75em, 3.479em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px;"><span  style="border-width: 0.054em 1.5px; border-style: solid none; border-color: initial; border-image: initial; display: inline-block; overflow: hidden; width: 6.752em; height: 2.815em; vertical-align: -0.049em; position: absolute; top: -1.736em; left: 0em;"></span><span style="position: absolute; clip: rect(2.15em, 1006.6em, 5.32em, -999.997em); top: -3.986em; left: 0.054em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.598em; height: 0px;"><span style="position: absolute; clip: rect(2.406em, 1001.23em, 5.116em, -999.997em); top: -3.986em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.611em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.43em, 5.116em, -999.997em); top: -3.986em; left: 2.61em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.713em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(2.406em, 1001.13em, 5.116em, -999.997em); top: -3.986em; left: 5.064em;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.56em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 6.598em; height: 0px; position: absolute; top: -0.304em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.62em; border-left: 0px solid; width: 0px; height: 3.899em;"></span></span></span></div>
</div>
 
 
*表サンプル
<freescript></script>
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\begin{array}{c|ccccc}
  x    & \cdots & -1 & \cdots & 1 & \cdots \\
   \hline
   \hline
   xxx & yyy & zzz \\
   f^{\prime}(x) & + & 0 & – & 0 & + \\  
   \hline
   \hline
   & & 3 \\
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
  \hline
\end{array}
\end{array} $$
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div>
</div>
</div>


 
 
*表サンプル
 
<freescript></script>
=== 可換図式 ===
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
 
<code class="tex">\begin{array}{c|ccccc}
*可換図式サンプル
  x    & \cdots & -1 & \cdots & 1 & \cdots \\  
<freescript></script>
  \hline
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
  f’(x) & + & 0 & – & 0 & + \\  
<code class="tex">\require{AMScd}
  \hline
\begin{CD}
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
A @>{f}>> B\\
\end{array}
@V{gg}VV {\large\circlearrowleft} @VV{hh}V\\
C @>>{k}> D
\end{CD}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{c|ccccc}
\require{AMScd}
  x    & \cdots & -1 & \cdots & 1 & \cdots \\
  \hline
  f’(x) & + & 0 & – & 0 & + \\
  \hline
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array} $$
</div>
 
 
 
=== 可換図式 ===
 
*可換図式サンプル
<freescript></script>
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\require{AMScd}
\begin{CD}
\begin{CD}
A @>{f}>> B\\
A @>{f}>> B\\
2,879行目: 2,688行目:
C @>>{k}> D
C @>>{k}> D
\end{CD}
\end{CD}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \require{AMScd}
\begin{CD}
A @>{f}>> B\\
@V{gg}VV {\large\circlearrowleft} @VV{hh}V\\
C @>>{k}> D
\end{CD} $$
</div>
</div>


2,897行目: 2,699行目:
<code class="tex">| x |
<code class="tex">| x |
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ | x | $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_|_x_|" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,906行目: 2,708行目:
<code class="tex">\vert x \vert
<code class="tex">\vert x \vert
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vert x \vert $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vert_x_\vert" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">|</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,915行目: 2,717行目:
<code class="tex">\{ x \mid x \in A \}
<code class="tex">\{ x \mid x \in A \}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \{ x \mid x \in A \} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\{_x_\mid_x_\in_A_\}" style="width: 4.707em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.68em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∣</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∈</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,924行目: 2,726行目:
<code class="tex">\Vert x \Vert
<code class="tex">\Vert x \Vert
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Vert x \Vert $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Vert_x_\Vert" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‖</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,933行目: 2,735行目:
<code class="tex">AB \parallel CD
<code class="tex">AB \parallel CD
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ AB \parallel CD $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_AB_\parallel_CD" style="width: 4.042em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.173em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.17em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∥</span></span><span class="mi" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,942行目: 2,744行目:
<code class="tex">\overline{ A }
<code class="tex">\overline{ A }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overline{ A } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overline{_A_}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.207em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.16em, 2.406em, -999.997em); top: -3.168em; left: 0.258em;"><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.601em;"></span></span></span></div>
</div>
</div>


2,951行目: 2,753行目:
<code class="tex">\bar{ A }
<code class="tex">\bar{ A }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bar{ A } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bar{_A_}" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -3.219em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¯</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


2,969行目: 2,771行目:
<code class="tex">/
<code class="tex">/
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ / $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_/" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">/</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,978行目: 2,780行目:
<code class="tex">\backslash
<code class="tex">\backslash
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \backslash $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\backslash" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∖</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,987行目: 2,789行目:
<code class="tex">\diagdown
<code class="tex">\diagdown
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \diagdown $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\diagdown" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">╲</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


2,996行目: 2,798行目:
<code class="tex">\diagup
<code class="tex">\diagup
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \diagup $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\diagup" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">╱</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,067行目: 2,869行目:
<code class="tex">\llcorner
<code class="tex">\llcorner
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \llcorner $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\llcorner" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌞</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,076行目: 2,878行目:
<code class="tex">\lrcorner
<code class="tex">\lrcorner
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lrcorner $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lrcorner" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌟</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,085行目: 2,887行目:
<code class="tex">\ulcorner
<code class="tex">\ulcorner
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ulcorner $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ulcorner" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌜</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,094行目: 2,896行目:
<code class="tex">\urcorner
<code class="tex">\urcorner
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \urcorner $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\urcorner" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌝</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,106行目: 2,908行目:
<code class="tex">\leftarrow
<code class="tex">\leftarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \leftarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\leftarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">←</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,115行目: 2,917行目:
<code class="tex">\longleftarrow
<code class="tex">\longleftarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \longleftarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\longleftarrow" style="width: 1.639em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟵</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,124行目: 2,926行目:
<code class="tex">\rightarrow
<code class="tex">\rightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \rightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\rightarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,133行目: 2,935行目:
<code class="tex">\longrightarrow
<code class="tex">\longrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \longrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\longrightarrow" style="width: 1.639em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.281em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟶</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,142行目: 2,944行目:
<code class="tex">\uparrow
<code class="tex">\uparrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \uparrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\uparrow" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↑</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,151行目: 2,953行目:
<code class="tex">\downarrow
<code class="tex">\downarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \downarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\downarrow" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↓</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,160行目: 2,962行目:
<code class="tex">\leftrightarrow
<code class="tex">\leftrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \leftrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\leftrightarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↔</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,169行目: 2,971行目:
<code class="tex">\longleftrightarrow
<code class="tex">\longleftrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \longleftrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\longleftrightarrow" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟷</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,178行目: 2,980行目:
<code class="tex">\updownarrow
<code class="tex">\updownarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \updownarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\updownarrow" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↕</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,187行目: 2,989行目:
<code class="tex">\Leftarrow
<code class="tex">\Leftarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Leftarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Leftarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇐</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,196行目: 2,998行目:
<code class="tex">\Longleftarrow
<code class="tex">\Longleftarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Longleftarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Longleftarrow" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟸</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,205行目: 3,007行目:
<code class="tex">\Rightarrow
<code class="tex">\Rightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Rightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Rightarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇒</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,214行目: 3,016行目:
<code class="tex">\Longrightarrow
<code class="tex">\Longrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Longrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Longrightarrow" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟹</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,223行目: 3,025行目:
<code class="tex">\Uparrow
<code class="tex">\Uparrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Uparrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Uparrow" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇑</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,232行目: 3,034行目:
<code class="tex">\Downarrow
<code class="tex">\Downarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Downarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Downarrow" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇓</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,241行目: 3,043行目:
<code class="tex">\Leftrightarrow
<code class="tex">\Leftrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Leftrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Leftrightarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇔</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,250行目: 3,052行目:
<code class="tex">\Longleftrightarrow
<code class="tex">\Longleftrightarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Longleftrightarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Longleftrightarrow" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟺</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,259行目: 3,061行目:
<code class="tex">\Updownarrow
<code class="tex">\Updownarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Updownarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Updownarrow" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⇕</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,268行目: 3,070行目:
<code class="tex">\nearrow
<code class="tex">\nearrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \nearrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\nearrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,277行目: 3,079行目:
<code class="tex">\searrow
<code class="tex">\searrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \searrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\searrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,286行目: 3,088行目:
<code class="tex">\nwarrow
<code class="tex">\nwarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \nwarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\nwarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↖</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,295行目: 3,097行目:
<code class="tex">\swarrow
<code class="tex">\swarrow
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \swarrow $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\swarrow" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↙</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,304行目: 3,106行目:
<code class="tex">\mapsto
<code class="tex">\mapsto
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mapsto $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mapsto" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↦</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,313行目: 3,115行目:
<code class="tex">\longmapsto
<code class="tex">\longmapsto
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \longmapsto $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\longmapsto" style="width: 1.69em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.332em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟼</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,322行目: 3,124行目:
<code class="tex">\vec{ a }
<code class="tex">\vec{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vec{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vec{_a_}" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.77em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,331行目: 3,133行目:
<code class="tex">\overrightarrow{ AB }
<code class="tex">\overrightarrow{ AB }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overrightarrow{ AB } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overrightarrow{_AB_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0.207em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,340行目: 3,142行目:
<code class="tex">\overleftarrow{ AB }
<code class="tex">\overleftarrow{ AB }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overleftarrow{ AB } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overleftarrow{_AB_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -3.219em; left: 0.207em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">←</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,349行目: 3,151行目:
<code class="tex">\circlearrowright
<code class="tex">\circlearrowright
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \circlearrowright $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\circlearrowright" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↻</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,358行目: 3,160行目:
<code class="tex">\circlearrowleft
<code class="tex">\circlearrowleft
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \circlearrowleft $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\circlearrowleft" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↺</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,370行目: 3,172行目:
<code class="tex">( x )
<code class="tex">( x )
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ ( x ) $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_(_x_)" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,379行目: 3,181行目:
<code class="tex">[ x ]
<code class="tex">[ x ]
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ [ x ] $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_[_x_]" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,388行目: 3,190行目:
<code class="tex">\lbrack x \rbrack
<code class="tex">\lbrack x \rbrack
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lbrack x \rbrack $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lbrack_x_\rbrack" style="width: 1.127em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,397行目: 3,199行目:
<code class="tex">\lceil x \rfloor
<code class="tex">\lceil x \rfloor
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lceil x \rfloor $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lceil_x_\rfloor" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌈</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌋</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,406行目: 3,208行目:
<code class="tex">\lfloor x \rceil
<code class="tex">\lfloor x \rceil
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lfloor x \rceil $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lfloor_x_\rceil" style="width: 1.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.23em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌊</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⌉</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,415行目: 3,217行目:
<code class="tex">\{ x \}
<code class="tex">\{ x \}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \{ x \} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\{_x_\}" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,424行目: 3,226行目:
<code class="tex">\lbrace x \rbrace
<code class="tex">\lbrace x \rbrace
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lbrace x \rbrace $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lbrace_x_\rbrace" style="width: 1.179em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.923em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.92em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">{</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">}</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,433行目: 3,235行目:
<code class="tex">\langle x \rangle
<code class="tex">\langle x \rangle
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \langle x \rangle $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\langle_x_\rangle" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟨</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⟩</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,442行目: 3,244行目:
<code class="tex">\left[ \dfrac{ 1 }{ 2 } \right]
<code class="tex">\left[ \dfrac{ 1 }{ 2 } \right]
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \left[ \dfrac{ 1 }{ 2 } \right] $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\left[_\dfrac{_1_}{_2_}_\right]" style="width: 1.536em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.179em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1001.18em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">[</span></span><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">]</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
</div>
</div>


3,451行目: 3,253行目:
<code class="tex">\overbrace{ x + y + z }
<code class="tex">\overbrace{ x + y + z }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overbrace{ x + y + z } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overbrace{_x_+_y_+_z_}" style="width: 4.195em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.275em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1003.27em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 3.275em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1003.27em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -3.219em; left: 1.23em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏞</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,460行目: 3,262行目:
<code class="tex">\overbrace{ a_1 + \cdots + a_n }^{ n }
<code class="tex">\overbrace{ a_1 + \cdots + a_n }^{ n }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \overbrace{ a_1 + \cdots + a_n }^{ n } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\overbrace{_a\_1_+_\cdots_+_a\_n_}^{_n_}" style="width: 5.473em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.918em, 1004.3em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px;"><span style="position: absolute; clip: rect(1.894em, 1004.3em, 4.502em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1004.3em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -3.219em; left: 1.741em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏞</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.406em, -999.997em); top: -4.292em; left: 1.997em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 4.224em;"></span></span></span></div>
</div>
</div>


3,469行目: 3,271行目:
<code class="tex">\underbrace{ x + y + z }
<code class="tex">\underbrace{ x + y + z }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \underbrace{ x + y + z } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underbrace{_x_+_y_+_z_}" style="width: 4.195em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.275em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.27em, 3.633em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 3.275em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1003.27em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -0.918em; left: 1.23em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏟</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.815em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
</div>
</div>


3,478行目: 3,280行目:
<code class="tex">\underbrace{ a_1 + \cdots + a_n }_{ n }
<code class="tex">\underbrace{ a_1 + \cdots + a_n }_{ n }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \underbrace{ a_1 + \cdots + a_n }_{ n } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underbrace{_a\_1_+_\cdots_+_a\_n_}\_{_n_}" style="width: 5.473em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1004.3em, 4.758em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px;"><span style="position: absolute; clip: rect(3.019em, 1004.3em, 5.678em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 4.297em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1004.3em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -0.764em; left: 1.741em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⏟</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.36em, 2.508em, -999.997em); top: 0.156em; left: 1.997em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.244em; border-left: 0px solid; width: 0px; height: 4.354em;"></span></span></span></div>
</div>
</div>


3,490行目: 3,292行目:
<code class="tex">\cdot
<code class="tex">\cdot
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cdot $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cdot" style="width: 0.258em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.207em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.21em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋅</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,499行目: 3,301行目:
<code class="tex">\cdots
<code class="tex">\cdots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \cdots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cdots" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,508行目: 3,310行目:
<code class="tex">\ldots
<code class="tex">\ldots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ldots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ldots" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">…</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,517行目: 3,319行目:
<code class="tex">\vdots
<code class="tex">\vdots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vdots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vdots" style="width: 0.36em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.258em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.26em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋮</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,526行目: 3,328行目:
<code class="tex">\ddots
<code class="tex">\ddots
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ddots $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ddots" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋱</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,535行目: 3,337行目:
<code class="tex">\dot{ a }
<code class="tex">\dot{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dot{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dot{_a_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.11em, 2.457em, -999.997em); top: -3.219em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">˙</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,544行目: 3,346行目:
<code class="tex">\ddot{ a }
<code class="tex">\ddot{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ddot{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ddot{_a_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -3.219em; left: 0.105em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¨</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


3,556行目: 3,358行目:
<code class="tex">\circ
<code class="tex">\circ
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \circ $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\circ" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∘</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,565行目: 3,367行目:
<code class="tex">\bullet
<code class="tex">\bullet
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bullet $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bullet" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∙</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,574行目: 3,376行目:
<code class="tex">\bigcirc
<code class="tex">\bigcirc
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bigcirc $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bigcirc" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◯</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,583行目: 3,385行目:
<code class="tex">\oplus
<code class="tex">\oplus
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \oplus $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\oplus" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊕</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,592行目: 3,394行目:
<code class="tex">\ominus
<code class="tex">\ominus
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ominus $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ominus" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊖</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,601行目: 3,403行目:
<code class="tex">\otimes
<code class="tex">\otimes
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \otimes $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\otimes" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊗</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,610行目: 3,412行目:
<code class="tex">\odot
<code class="tex">\odot
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \odot $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\odot" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊙</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,622行目: 3,424行目:
<code class="tex">\triangle
<code class="tex">\triangle
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangle $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangle" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,631行目: 3,433行目:
<code class="tex">\triangledown
<code class="tex">\triangledown
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangledown $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangledown" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">▽</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,640行目: 3,442行目:
<code class="tex">\bigtriangleup
<code class="tex">\bigtriangleup
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bigtriangleup $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bigtriangleup" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">△</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,649行目: 3,451行目:
<code class="tex">\bigtriangledown
<code class="tex">\bigtriangledown
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bigtriangledown $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bigtriangledown" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">▽</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,658行目: 3,460行目:
<code class="tex">\triangleleft
<code class="tex">\triangleleft
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangleleft $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangleleft" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◃</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,667行目: 3,469行目:
<code class="tex">\lhd
<code class="tex">\lhd
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lhd $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lhd" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊲</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,676行目: 3,478行目:
<code class="tex">\triangleright
<code class="tex">\triangleright
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \triangleright $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\triangleright" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">▹</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,685行目: 3,487行目:
<code class="tex">\rhd
<code class="tex">\rhd
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \rhd $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\rhd" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊳</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,694行目: 3,496行目:
<code class="tex">\unlhd
<code class="tex">\unlhd
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \unlhd $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\unlhd" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊴</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,703行目: 3,505行目:
<code class="tex">\unrhd
<code class="tex">\unrhd
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \unrhd $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\unrhd" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊵</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,712行目: 3,514行目:
<code class="tex">\blacktriangle
<code class="tex">\blacktriangle
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \blacktriangle $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\blacktriangle" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">▴</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,724行目: 3,526行目:
<code class="tex">\square
<code class="tex">\square
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \square $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\square" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◻</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,733行目: 3,535行目:
<code class="tex">\Box
<code class="tex">\Box
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Box $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Box" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◻</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,742行目: 3,544行目:
<code class="tex">\boxplus
<code class="tex">\boxplus
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boxplus $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boxplus" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊞</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,751行目: 3,553行目:
<code class="tex">\boxminus
<code class="tex">\boxminus
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boxminus $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boxminus" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊟</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,760行目: 3,562行目:
<code class="tex">\boxtimes
<code class="tex">\boxtimes
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boxtimes $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boxtimes" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊠</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,769行目: 3,571行目:
<code class="tex">\boxdot
<code class="tex">\boxdot
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boxdot $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boxdot" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⊡</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,778行目: 3,580行目:
<code class="tex">\blacksquare
<code class="tex">\blacksquare
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \blacksquare $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\blacksquare" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◼</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,787行目: 3,589行目:
<code class="tex">\diamond
<code class="tex">\diamond
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \diamond $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\diamond" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋄</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,796行目: 3,598行目:
<code class="tex">\Diamond
<code class="tex">\Diamond
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Diamond $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Diamond" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◊</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,805行目: 3,607行目:
<code class="tex">\lozenge
<code class="tex">\lozenge
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lozenge $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lozenge" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.67em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">◊</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,814行目: 3,616行目:
<code class="tex">\blacklozenge
<code class="tex">\blacklozenge
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \blacklozenge $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\blacklozenge" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1000.41em, 2.508em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⧫</span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,823行目: 3,625行目:
<code class="tex">\boxed{ abc }
<code class="tex">\boxed{ abc }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \boxed{ abc } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\boxed{_abc_}" style="width: 2.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1001.89em, 2.712em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 1.894em; height: 0px;"><span  style="border: 0.054em solid; display: inline-block; overflow: hidden; width: 1.741em; height: 1.383em; vertical-align: -0.049em; position: absolute; top: -1.071em; left: 0em;"></span><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div>
</div>
</div>


3,832行目: 3,634行目:
<code class="tex">\fbox{ abc }
<code class="tex">\fbox{ abc }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \fbox{ abc } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\fbox{_abc_}" style="width: 3.07em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1002.41em, 2.712em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 2.406em; height: 0px;"><span  style="border: 0.054em solid; display: inline-block; overflow: hidden; width: 2.252em; height: 1.383em; vertical-align: -0.049em; position: absolute; top: -1.071em; left: 0em;"></span><span style="position: absolute; clip: rect(1.127em, 1001.84em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div>
</div>
</div>


3,841行目: 3,643行目:
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc}
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bbox[yellow, 5pt, border: 2px dotted red]{abc} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bbox[yellow,_5pt,_border:_2px_dotted_red]{abc}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.792em, 1001.84em, 4.297em, -999.997em); top: -3.321em; left: 0em;"><span class="mrow"><span  style="display: inline-block; background-color: yellow; width: 2.457em; height: 2.099em; vertical-align: -0.867em; margin-left: -0.049em; margin-right: -2.503em; border-width: 2px; border-style: dotted; border-color: red;"></span><span class="mstyle" style="padding-right: 0.105em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 2.355em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0.514em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.326em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.101em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
</div>
</div>


3,853行目: 3,655行目:
<code class="tex">\ast
<code class="tex">\ast
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ast $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ast" style="width: 0.463em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∗</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,862行目: 3,664行目:
<code class="tex">\star
<code class="tex">\star
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \star $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\star" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋆</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,871行目: 3,673行目:
<code class="tex">\ltimes
<code class="tex">\ltimes
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ltimes $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ltimes" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋉</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,880行目: 3,682行目:
<code class="tex">\rtimes
<code class="tex">\rtimes
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \rtimes $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\rtimes" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋊</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,889行目: 3,691行目:
<code class="tex">\Join
<code class="tex">\Join
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Join $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Join" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.62em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋈</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,901行目: 3,703行目:
<code class="tex">\$
<code class="tex">\$
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \$ $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\$" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">$</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,910行目: 3,712行目:
<code class="tex">\And
<code class="tex">\And
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \And $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\And" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&amp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,919行目: 3,721行目:
<code class="tex">\yen
<code class="tex">\yen
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \yen $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\yen" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">¥</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,928行目: 3,730行目:
<code class="tex">\checkmark
<code class="tex">\checkmark
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \checkmark $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\checkmark" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">✓</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,937行目: 3,739行目:
<code class="tex">\diamondsuit
<code class="tex">\diamondsuit
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \diamondsuit $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\diamondsuit" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♢</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,946行目: 3,748行目:
<code class="tex">\heartsuit
<code class="tex">\heartsuit
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \heartsuit $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\heartsuit" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♡</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,955行目: 3,757行目:
<code class="tex">\clubsuit
<code class="tex">\clubsuit
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \clubsuit $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\clubsuit" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♣</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,964行目: 3,766行目:
<code class="tex">\spadesuit
<code class="tex">\spadesuit
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \spadesuit $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\spadesuit" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♠</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,973行目: 3,775行目:
<code class="tex">\flat
<code class="tex">\flat
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \flat $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\flat" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♭</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,982行目: 3,784行目:
<code class="tex">\natural
<code class="tex">\natural
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \natural $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\natural" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♮</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


3,991行目: 3,793行目:
<code class="tex">\sharp
<code class="tex">\sharp
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sharp $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sharp" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">♯</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,000行目: 3,802行目:
<code class="tex">\dagger
<code class="tex">\dagger
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dagger $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dagger" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">†</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,009行目: 3,811行目:
<code class="tex">\ddagger
<code class="tex">\ddagger
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ddagger $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ddagger" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">‡</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,021行目: 3,823行目:
<code class="tex">aaa \ bbb
<code class="tex">aaa \ bbb
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ aaa \ bbb $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_aaa_\_bbb" style="width: 3.991em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.121em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.12em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,030行目: 3,832行目:
<code class="tex">aaa \quad bbb
<code class="tex">aaa \quad bbb
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ aaa \quad bbb $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_aaa_\quad_bbb" style="width: 4.962em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.888em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.025em; display: inline-block; overflow: hidden;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,039行目: 3,841行目:
<code class="tex">aaa \qquad bbb
<code class="tex">aaa \qquad bbb
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ aaa \qquad bbb $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_aaa_\qquad_bbb" style="width: 6.189em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.86em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1004.86em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.997em; display: inline-block; overflow: hidden;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,048行目: 3,850行目:
<code class="tex">aaa \hspace{ 10pt } bbb
<code class="tex">aaa \hspace{ 10pt } bbb
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ aaa \hspace{ 10pt } bbb $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_aaa_\hspace{_10pt_}_bbb" style="width: 4.962em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.888em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.89em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; width: 1.025em; display: inline-block; overflow: hidden;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,057行目: 3,859行目:
<code class="tex">aaa \! bbb
<code class="tex">aaa \! bbb
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ aaa \! bbb $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_aaa_\!_bbb" style="width: 3.479em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.712em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1002.71em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,068行目: 3,870行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}  
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}_\vbCrLfaaa_\\_bbb\vbCrLf\end{eqnarray}" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.565em, 1001.74em, 3.173em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.457em, 1001.43em, 5.064em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.707em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -1.378em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.231em; border-left: 0px solid; width: 0px; height: 3.055em;"></span></span></span></div>
aaa \\ bbb
\end{eqnarray} $$
</div>
</div>


4,081行目: 3,881行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}  
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}_\vbCrLfaaa_\\[5pt]_bbb\vbCrLf\end{eqnarray}" style="width: 2.201em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.741em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.309em, 1001.74em, 3.377em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.201em, 1001.43em, 5.269em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 1.434em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.43em, 2.457em, -999.997em); top: -2.963em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -1.122em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.49em; border-left: 0px solid; width: 0px; height: 3.705em;"></span></span></span></div>
aaa \\[5pt] bbb
\end{eqnarray} $$
</div>
</div>


4,096行目: 3,894行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf&_&_\frac{1}{2}_+\frac{1}{3}_+\frac{1}{6}_\\[_5pt_]\vbCrLf&=&_\frac{3}{6}_+\frac{2}{6}_+\frac{1}{6}_\\\vbCrLf&=&_1\vbCrLf\end{eqnarray}" style="width: 7.007em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.525em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-1.787em, 1005.52em, 5.473em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 5.218em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.888em, 1000em, 9.513em, -999.997em); top: -6.286em; left: 0em;"><span style="display: inline-block; position: relative; width: 0em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -6.235em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.014em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -0.918em; right: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.292em;"></span></span><span style="position: absolute; clip: rect(4.093em, 1000.77em, 9.871em, -999.997em); top: -6.491em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -6.235em; left: 50%; margin-left: 0em;"><span class="mtd"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.349em, -999.997em); top: -3.014em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mi"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.77em, 4.349em, -999.997em); top: -0.918em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mi"></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span><span style="display: inline-block; width: 0px; height: 6.496em;"></span></span><span style="position: absolute; clip: rect(4.093em, 1004.2em, 11.353em, -999.997em); top: -7.974em; left: 1.025em;"><span style="display: inline-block; position: relative; width: 4.195em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1004.2em, 3.224em, -999.997em); top: -4.343em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.463em, 1004.2em, 3.224em, -999.997em); top: -1.122em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mfrac" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">6</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: 0.974em; left: 0em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 7.979em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -4.153em; border-left: 0px solid; width: 0px; height: 9.029em;"></span></span></span></div>
& & \frac{1}{2} +\frac{1}{3} +\frac{1}{6} \\[ 5pt ]
&=& \frac{3}{6} +\frac{2}{6} +\frac{1}{6} \\
&=& 1
\end{eqnarray} $$
</div>
</div>


4,112行目: 3,906行目:
<code class="tex">\tiny{ abc ABC }
<code class="tex">\tiny{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \tiny{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\tiny{_abc_ABC_}" style="width: 1.945em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.536em, 1001.54em, 2.355em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 50%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.192em; border-left: 0px solid; width: 0px; height: 0.782em;"></span></span></span></div>
</div>
</div>


4,121行目: 3,915行目:
<code class="tex">\scriptsize{ abc ABC }
<code class="tex">\scriptsize{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \scriptsize{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\scriptsize{_abc_ABC_}" style="width: 2.661em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.099em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.383em, 1002.1em, 2.406em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 70%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.256em; border-left: 0px solid; width: 0px; height: 1.042em;"></span></span></span></div>
</div>
</div>


4,130行目: 3,924行目:
<code class="tex">\small{ abc ABC }
<code class="tex">\small{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \small{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\small{_abc_ABC_}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1002.56em, 2.406em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 85%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.256em; border-left: 0px solid; width: 0px; height: 1.237em;"></span></span></span></div>
</div>
</div>


4,139行目: 3,933行目:
<code class="tex">\normalsize{ abc ABC }
<code class="tex">\normalsize{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \normalsize{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\normalsize{_abc_ABC_}" style="width: 3.837em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.019em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.02em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,148行目: 3,942行目:
<code class="tex">\large{ abc ABC }
<code class="tex">\large{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \large{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\large{_abc_ABC_}" style="width: 4.604em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.23em, 1003.63em, 2.764em, -999.997em); top: -2.349em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 120%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.355em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.386em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


4,157行目: 3,951行目:
<code class="tex">\Large{ abc ABC }
<code class="tex">\Large{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Large{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Large{_abc_ABC_}" style="width: 5.525em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.349em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1004.35em, 3.07em, -999.997em); top: -2.605em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 144%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.61em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.451em; border-left: 0px solid; width: 0px; height: 1.951em;"></span></span></span></div>
</div>
</div>


4,166行目: 3,960行目:
<code class="tex">\LARGE{ abc ABC }
<code class="tex">\LARGE{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \LARGE{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\LARGE{_abc_ABC_}" style="width: 6.649em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.218em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.383em, 1005.22em, 3.428em, -999.997em); top: -2.912em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 173%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.917em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span></div>
</div>
</div>


4,175行目: 3,969行目:
<code class="tex">\huge{ abc ABC }
<code class="tex">\huge{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \huge{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\huge{_abc_ABC_}" style="width: 7.928em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.24em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.536em, 1006.24em, 3.888em, -999.997em); top: -3.321em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 207%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.326em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 2.731em;"></span></span></span></div>
</div>
</div>


4,184行目: 3,978行目:
<code class="tex">\Huge{ abc ABC }
<code class="tex">\Huge{ abc ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Huge{ abc ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Huge{_abc_ABC_}" style="width: 9.564em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.519em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.588em, 1007.52em, 4.4em, -999.997em); top: -3.73em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi" style="font-size: 249%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.735em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.711em; border-left: 0px solid; width: 0px; height: 3.315em;"></span></span></span></div>
</div>
</div>


4,196行目: 3,990行目:
<code class="tex">\mathrm{ ABC }
<code class="tex">\mathrm{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathrm{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathrm{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,205行目: 3,999行目:
<code class="tex">\mathtt{ ABC }
<code class="tex">\mathtt{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathtt{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathtt{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,214行目: 4,008行目:
<code class="tex">\mathsf{ ABC }
<code class="tex">\mathsf{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathsf{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathsf{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,223行目: 4,017行目:
<code class="tex">\mathcal{ ABC }
<code class="tex">\mathcal{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathcal{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathcal{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,232行目: 4,026行目:
<code class="tex">\mathbf{ ABC }
<code class="tex">\mathbf{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbf{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbf{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,241行目: 4,035行目:
<code class="tex">\mathit{ ABC }
<code class="tex">\mathit{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathit{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathit{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,250行目: 4,044行目:
<code class="tex">\mathbb{ ABC }
<code class="tex">\mathbb{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,259行目: 4,053行目:
<code class="tex">\mathscr{ ABC }
<code class="tex">\mathscr{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathscr{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathscr{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,268行目: 4,062行目:
<code class="tex">\mathfrak{ ABC }
<code class="tex">\mathfrak{ ABC }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathfrak{ ABC } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathfrak{_ABC_}" style="width: 2.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.69em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.69em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,277行目: 4,071行目:
<code class="tex">\mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathrm{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,286行目: 4,080行目:
<code class="tex">\mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathtt{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,295行目: 4,089行目:
<code class="tex">\mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathsf{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,304行目: 4,098行目:
<code class="tex">\mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
<code class="tex">\mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathcal{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_}" style="width: 17.745em; display: inline-block;"><span style="display: inline-block; position: relative; width: 13.961em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1013.96em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,313行目: 4,107行目:
<code class="tex">\mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbf{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,322行目: 4,116行目:
<code class="tex">\mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathit{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,331行目: 4,125行目:
<code class="tex">\mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
<code class="tex">\mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathbb{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_}" style="width: 17.745em; display: inline-block;"><span style="display: inline-block; position: relative; width: 13.961em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1013.96em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,340行目: 4,134行目:
<code class="tex">\mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
<code class="tex">\mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathscr{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_}" style="width: 17.745em; display: inline-block;"><span style="display: inline-block; position: relative; width: 13.961em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1013.96em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,349行目: 4,143行目:
<code class="tex">\mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
<code class="tex">\mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mathfrak{_ABCDEFGHIJKLMNOPQRSTUVWXYZ_\_abcdefghijklmnopqrstuvwxyz_}" style="width: 32.368em; display: inline-block;"><span style="display: inline-block; position: relative; width: 25.465em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1025.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">C</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">D</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">F</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">G</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">J</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">R</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">S</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">U</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">V</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">W</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">h</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">j</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">q</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">s</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">u</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">v</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">w</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">z</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,361行目: 4,155行目:
<code class="tex">a^{ xy }
<code class="tex">a^{ xy }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a^{ xy } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a^{_xy_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


4,370行目: 4,164行目:
<code class="tex">{}^{ xy } a
<code class="tex">{}^{ xy } a
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}^{ xy } a $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}^{_xy_}_a" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -2.503em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


4,379行目: 4,173行目:
<code class="tex">a_{ xy }
<code class="tex">a_{ xy }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ a_{ xy } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_a\_{_xy_}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


4,388行目: 4,182行目:
<code class="tex">{}_{ xy } a
<code class="tex">{}_{ xy } a
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ {}_{ xy } a $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_{}\_{_xy_}_a" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.61em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px;"><span style="position: absolute; clip: rect(3.837em, 1000em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="texatom"><span class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -1.889em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">y</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.516em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


4,399行目: 4,193行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLfa\_n^2_+_a\_{_n_+_1_}^2_=_a\_{_2n_+_1_}\vbCrLf\end{eqnarray}" style="width: 8.592em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.752em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1006.75em, 2.815em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 6.445em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.815em, 1006.45em, 4.707em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 6.445em; height: 0px;"><span style="position: absolute; clip: rect(0.872em, 1006.45em, 2.815em, -999.997em); top: -2.094em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -2.605em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.41em, 2.406em, -999.997em); top: -1.685em; left: 0.463em;"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="msubsup" style="padding-left: 0.207em;"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.31em, 2.406em, -999.997em); top: -2.605em; left: 0.463em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.13em, 2.406em, -999.997em); top: -1.685em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="msubsup" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -1.889em; left: 0.463em;"><span class="texatom"><span class="mrow"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.776em; border-left: 0px solid; width: 0px; height: 2.146em;"></span></span></span></div>
a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 }
\end{eqnarray} $$
</div>
</div>


4,413行目: 4,205行目:
<code class="tex">\hat{ a }
<code class="tex">\hat{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \hat{ a } $$
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</div>
</div>


4,422行目: 4,214行目:
<code class="tex">\grave{ a }
<code class="tex">\grave{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \grave{ a } $$
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</div>
</div>


4,431行目: 4,223行目:
<code class="tex">\acute{ a }
<code class="tex">\acute{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \acute{ a } $$
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</div>
</div>


4,440行目: 4,232行目:
<code class="tex">\dot{ a }
<code class="tex">\dot{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dot{ a } $$
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</div>
</div>


4,449行目: 4,241行目:
<code class="tex">\ddot{ a }
<code class="tex">\ddot{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ddot{ a } $$
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</div>
</div>


4,458行目: 4,250行目:
<code class="tex">\bar{ a }
<code class="tex">\bar{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bar{ a } $$
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</div>
</div>


4,467行目: 4,259行目:
<code class="tex">\vec{ a }
<code class="tex">\vec{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vec{ a } $$
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</div>
</div>


4,476行目: 4,268行目:
<code class="tex">\check{ a }
<code class="tex">\check{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \check{ a } $$
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</div>
</div>


4,485行目: 4,277行目:
<code class="tex">\tilde{ a }
<code class="tex">\tilde{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \tilde{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\tilde{_a_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.219em; left: 0em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">~</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


4,494行目: 4,286行目:
<code class="tex">\breve{ a }
<code class="tex">\breve{ a }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \breve{ a } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\breve{_a_}" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.21em, 2.457em, -999.997em); top: -3.219em; left: 0.105em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">˘</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


4,503行目: 4,295行目:
<code class="tex">\widehat{ AAA }
<code class="tex">\widehat{ AAA }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \widehat{ AAA } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\widehat{_AAA_}" style="width: 2.355em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.84em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.84em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.219em; left: 0.718em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">^</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


4,512行目: 4,304行目:
<code class="tex">\widetilde{ AAA }
<code class="tex">\widetilde{ AAA }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \widetilde{ AAA } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\widetilde{_AAA_}" style="width: 2.355em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.003em, 1001.84em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.843em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.84em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -3.219em; left: 0.667em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">~</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 2.86em;"></span></span></span></div>
</div>
</div>


4,524行目: 4,316行目:
<code class="tex">\forall
<code class="tex">\forall
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \forall $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\forall" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∀</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,533行目: 4,325行目:
<code class="tex">\exists
<code class="tex">\exists
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \exists $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\exists" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">∃</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,542行目: 4,334行目:
<code class="tex">\Finv
<code class="tex">\Finv
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Finv $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Finv" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.46em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ⅎ</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,551行目: 4,343行目:
<code class="tex">\hbar
<code class="tex">\hbar
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \hbar $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\hbar" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℏ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,560行目: 4,352行目:
<code class="tex">\imath
<code class="tex">\imath
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \imath $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\imath" style="width: 0.36em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.258em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ı</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,569行目: 4,361行目:
<code class="tex">\jmath
<code class="tex">\jmath
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \jmath $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\jmath" style="width: 0.36em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.258em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ȷ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,578行目: 4,370行目:
<code class="tex">\Bbbk
<code class="tex">\Bbbk
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Bbbk $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Bbbk" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">k</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,587行目: 4,379行目:
<code class="tex">\ell
<code class="tex">\ell
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \ell $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\ell" style="width: 0.412em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.309em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℓ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,596行目: 4,388行目:
<code class="tex">\circledR
<code class="tex">\circledR
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \circledR $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\circledR" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">®</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,605行目: 4,397行目:
<code class="tex">\circledS
<code class="tex">\circledS
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \circledS $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\circledS" style="width: 0.974em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.77em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ⓢ</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,617行目: 4,409行目:
<code class="tex">\alpha
<code class="tex">\alpha
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \alpha $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\alpha" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">α</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,626行目: 4,418行目:
<code class="tex">\beta
<code class="tex">\beta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \beta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\beta" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">β</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,635行目: 4,427行目:
<code class="tex">\gamma
<code class="tex">\gamma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \gamma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\gamma" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">γ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,644行目: 4,436行目:
<code class="tex">\delta
<code class="tex">\delta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \delta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\delta" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">δ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,653行目: 4,445行目:
<code class="tex">\epsilon
<code class="tex">\epsilon
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \epsilon $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\epsilon" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ϵ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,662行目: 4,454行目:
<code class="tex">\varepsilon
<code class="tex">\varepsilon
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varepsilon $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varepsilon" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ε</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,671行目: 4,463行目:
<code class="tex">\zeta
<code class="tex">\zeta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \zeta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\zeta" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ζ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,680行目: 4,472行目:
<code class="tex">\eta
<code class="tex">\eta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \eta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\eta" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">η</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,689行目: 4,481行目:
<code class="tex">\theta
<code class="tex">\theta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \theta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\theta" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">θ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,698行目: 4,490行目:
<code class="tex">\vartheta
<code class="tex">\vartheta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \vartheta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\vartheta" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ϑ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,707行目: 4,499行目:
<code class="tex">\iota
<code class="tex">\iota
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \iota $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\iota" style="width: 0.36em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.258em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.26em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ι</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,716行目: 4,508行目:
<code class="tex">\kappa
<code class="tex">\kappa
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \kappa $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\kappa" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">κ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,725行目: 4,517行目:
<code class="tex">\lambda
<code class="tex">\lambda
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \lambda $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\lambda" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">λ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,734行目: 4,526行目:
<code class="tex">\mu
<code class="tex">\mu
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \mu $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\mu" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">μ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,743行目: 4,535行目:
<code class="tex">\nu
<code class="tex">\nu
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \nu $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\nu" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ν</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,752行目: 4,544行目:
<code class="tex">\xi
<code class="tex">\xi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \xi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\xi" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ξ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,761行目: 4,553行目:
<code class="tex">o
<code class="tex">o
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ o $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_o" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,770行目: 4,562行目:
<code class="tex">\pi
<code class="tex">\pi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \pi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\pi" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">π</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,779行目: 4,571行目:
<code class="tex">\varpi
<code class="tex">\varpi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varpi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varpi" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ϖ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,788行目: 4,580行目:
<code class="tex">\rho
<code class="tex">\rho
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \rho $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\rho" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ρ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,797行目: 4,589行目:
<code class="tex">\varrho
<code class="tex">\varrho
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varrho $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varrho" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ϱ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,806行目: 4,598行目:
<code class="tex">\sigma
<code class="tex">\sigma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sigma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sigma" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">σ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,815行目: 4,607行目:
<code class="tex">\varsigma
<code class="tex">\varsigma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varsigma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varsigma" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.41em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ς</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,824行目: 4,616行目:
<code class="tex">\tau
<code class="tex">\tau
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \tau $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\tau" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">τ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,833行目: 4,625行目:
<code class="tex">\upsilon
<code class="tex">\upsilon
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \upsilon $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\upsilon" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">υ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,842行目: 4,634行目:
<code class="tex">\phi
<code class="tex">\phi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \phi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\phi" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,851行目: 4,643行目:
<code class="tex">\varphi
<code class="tex">\varphi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varphi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varphi" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,860行目: 4,652行目:
<code class="tex">\chi
<code class="tex">\chi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \chi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\chi" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">χ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,869行目: 4,661行目:
<code class="tex">\psi
<code class="tex">\psi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \psi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\psi" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ψ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,878行目: 4,670行目:
<code class="tex">\omega
<code class="tex">\omega
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \omega $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\omega" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ω</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,887行目: 4,679行目:
<code class="tex">A
<code class="tex">A
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ A $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_A" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,896行目: 4,688行目:
<code class="tex">B
<code class="tex">B
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ B $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_B" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,905行目: 4,697行目:
<code class="tex">\Gamma
<code class="tex">\Gamma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Gamma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Gamma" style="width: 0.463em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Γ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,914行目: 4,706行目:
<code class="tex">\varGamma
<code class="tex">\varGamma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varGamma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varGamma" style="width: 0.463em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Γ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,923行目: 4,715行目:
<code class="tex">\Delta
<code class="tex">\Delta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Delta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Delta" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,932行目: 4,724行目:
<code class="tex">\varDelta
<code class="tex">\varDelta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varDelta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varDelta" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,941行目: 4,733行目:
<code class="tex">E
<code class="tex">E
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ E $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_E" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,950行目: 4,742行目:
<code class="tex">Z
<code class="tex">Z
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ Z $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_Z" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Z</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,959行目: 4,751行目:
<code class="tex">H
<code class="tex">H
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ H $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_H" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">H</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,968行目: 4,760行目:
<code class="tex">\Theta
<code class="tex">\Theta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Theta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Theta" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Θ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,977行目: 4,769行目:
<code class="tex">\varTheta
<code class="tex">\varTheta
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varTheta $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varTheta" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Θ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,986行目: 4,778行目:
<code class="tex">I
<code class="tex">I
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ I $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_I" style="width: 0.412em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.309em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


4,995行目: 4,787行目:
<code class="tex">K
<code class="tex">K
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ K $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_K" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">K</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,004行目: 4,796行目:
<code class="tex">\Lambda
<code class="tex">\Lambda
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Lambda $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Lambda" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Λ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,013行目: 4,805行目:
<code class="tex">\varLambda
<code class="tex">\varLambda
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varLambda $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varLambda" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Λ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,022行目: 4,814行目:
<code class="tex">M
<code class="tex">M
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ M $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_M" style="width: 1.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">M</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,031行目: 4,823行目:
<code class="tex">N
<code class="tex">N
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ N $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_N" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">N</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,040行目: 4,832行目:
<code class="tex">\Xi
<code class="tex">\Xi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Xi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Xi" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ξ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,049行目: 4,841行目:
<code class="tex">\varXi
<code class="tex">\varXi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varXi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varXi" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ξ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,058行目: 4,850行目:
<code class="tex">O
<code class="tex">O
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ O $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_O" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">O</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,067行目: 4,859行目:
<code class="tex">\Pi
<code class="tex">\Pi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Pi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Pi" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Π</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,076行目: 4,868行目:
<code class="tex">\varPi
<code class="tex">\varPi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varPi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varPi" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Π</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,085行目: 4,877行目:
<code class="tex">P
<code class="tex">P
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ P $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_P" style="width: 0.616em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">P</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,094行目: 4,886行目:
<code class="tex">\Sigma
<code class="tex">\Sigma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Sigma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Sigma" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Σ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,103行目: 4,895行目:
<code class="tex">\varSigma
<code class="tex">\varSigma
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varSigma $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varSigma" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Σ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,112行目: 4,904行目:
<code class="tex">T
<code class="tex">T
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ T $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_T" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,121行目: 4,913行目:
<code class="tex">\Upsilon
<code class="tex">\Upsilon
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Upsilon $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Upsilon" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Υ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,130行目: 4,922行目:
<code class="tex">\varUpsilon
<code class="tex">\varUpsilon
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varUpsilon $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varUpsilon" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Υ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,139行目: 4,931行目:
<code class="tex">\Phi
<code class="tex">\Phi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Phi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Phi" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,148行目: 4,940行目:
<code class="tex">\varPhi
<code class="tex">\varPhi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varPhi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varPhi" style="width: 0.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.667em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.67em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Φ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,157行目: 4,949行目:
<code class="tex">X
<code class="tex">X
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ X $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_X" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,166行目: 4,958行目:
<code class="tex">\Psi
<code class="tex">\Psi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Psi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Psi" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ψ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,175行目: 4,967行目:
<code class="tex">\varPsi
<code class="tex">\varPsi
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varPsi $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varPsi" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.57em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ψ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,184行目: 4,976行目:
<code class="tex">\Omega
<code class="tex">\Omega
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \Omega $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\Omega" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ω</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,193行目: 4,985行目:
<code class="tex">\varOmega
<code class="tex">\varOmega
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \varOmega $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\varOmega" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.72em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Ω</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,205行目: 4,997行目:
<code class="tex">\color{red}{a \times b}
<code class="tex">\color{red}{a \times b}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \color{red}{a \times b} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\color{red}{a_\times_b}" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle" style="color: red;"><span class="mrow" style="color: red;"><span class="texatom" style="color: red;"><span class="mrow" style="color: red;"><span class="mi" style="color: red;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em; color: red;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="mi" style="padding-left: 0.207em; color: red;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,214行目: 5,006行目:
<code class="tex">\color{ #ff0000 }{a \times b}
<code class="tex">\color{ #ff0000 }{a \times b}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \color{ #ff0000 }{a \times b} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\color{_#ff0000_}{a_\times_b}" style="width: 2.508em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.945em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle" style="color: rgb(255, 0, 0);"><span class="mrow" style="color: rgb(255, 0, 0);"><span class="texatom" style="color: rgb(255, 0, 0);"><span class="mrow" style="color: rgb(255, 0, 0);"><span class="mi" style="color: rgb(255, 0, 0);"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em; color: rgb(255, 0, 0);"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="mi" style="padding-left: 0.207em; color: rgb(255, 0, 0);"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,223行目: 5,015行目:
<code class="tex">\colorbox{red}{ Important! }
<code class="tex">\colorbox{red}{ Important! }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \colorbox{red}{ Important! } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\colorbox{red}{_Important!_}" style="width: 6.649em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.218em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.434em, 1004.96em, 3.275em, -999.997em); top: -2.656em; left: 0em;"><span class="mrow"><span  style="display: inline-block; background-color: red; width: 5.32em; height: 1.639em; vertical-align: -0.509em; margin-left: -0.049em; margin-right: -5.264em;"></span><span class="mpadded"><span style="display: inline-block; position: relative; width: 5.218em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1004.71em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">I</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">p</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">r</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">t</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">!</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.661em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div>
</div>
</div>


5,232行目: 5,024行目:
<code class="tex">\colorbox{red}{$a \times b$}
<code class="tex">\colorbox{red}{$a \times b$}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \colorbox{red}{$a \times b$} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\colorbox{red}{$a_\times_b$}" style="width: 3.121em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.434em, 1002.2em, 3.275em, -999.997em); top: -2.656em; left: 0em;"><span class="mrow"><span  style="display: inline-block; background-color: red; width: 2.559em; height: 1.639em; vertical-align: -0.509em; margin-left: -0.049em; margin-right: -2.503em;"></span><span class="mpadded"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.661em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div>
</div>
</div>


5,241行目: 5,033行目:
<code class="tex">\fcolorbox{black}{ #00ff00 }{$a \times b$}
<code class="tex">\fcolorbox{black}{ #00ff00 }{$a \times b$}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \fcolorbox{black}{ #00ff00 }{$a \times b$} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\fcolorbox{black}{_#00ff00_}{$a_\times_b$}" style="width: 3.377em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.661em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.536em, 1002.2em, 3.582em, -999.997em); top: -2.861em; left: 0em;"><span class="mrow"><span  style="display: inline-block; background-color: rgb(0, 255, 0); width: 2.559em; height: 1.639em; vertical-align: -0.611em; margin-left: -0.049em; margin-right: -2.605em; border-width: 2px; border-style: solid; border-color: black;"></span><span class="mpadded" style="padding-right: 0.105em;"><span style="display: inline-block; position: relative; width: 2.457em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.95em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">×</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.866em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.776em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span></div>
</div>
</div>


5,250行目: 5,042行目:
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc}
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \bbox[yellow, 5pt, border: 2px dotted red]{abc} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\bbox[yellow,_5pt,_border:_2px_dotted_red]{abc}" style="width: 3.275em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.559em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.792em, 1001.84em, 4.297em, -999.997em); top: -3.321em; left: 0em;"><span class="mrow"><span  style="display: inline-block; background-color: yellow; width: 2.457em; height: 2.099em; vertical-align: -0.867em; margin-left: -0.049em; margin-right: -2.503em; border-width: 2px; border-style: dotted; border-color: red;"></span><span class="mstyle" style="padding-right: 0.105em;"><span class="mrow"><span class="mpadded"><span style="display: inline-block; position: relative; width: 2.355em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.33em, 2.457em, -999.997em); top: -2.094em; left: 0.514em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">b</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">c</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.326em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.101em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
</div>
</div>


5,259行目: 5,051行目:
<code class="tex">\unicode{x0041}
<code class="tex">\unicode{x0041}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \unicode{x0041} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\unicode{x0041}" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtext"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,270行目: 5,062行目:
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLf\unicode{x5F45}\text{は、弓へんに剪。}\vbCrLf\end{eqnarray}" style="width: 9.41em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.416em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.179em, 1007.42em, 2.508em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 7.11em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(3.07em, 1007.11em, 4.4em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 7.11em; height: 0px;"><span style="position: absolute; clip: rect(1.281em, 1007.11em, 2.61em, -999.997em); top: -2.196em; right: 0em;"><span class="mtd"><span class="mrow"><span class="mtext"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;; font-size: 79%; font-style: normal; font-weight: normal;">彅</span></span><span class="mtext"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">は</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">、</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">弓</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">へ</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ん</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">に</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">剪</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">。</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.386em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
\unicode{x5F45}\text{は、弓へんに剪。}
\end{eqnarray} $$
</div>
</div>


5,284行目: 5,074行目:
<code class="tex">\S
<code class="tex">\S
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \S $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\S" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">§</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,293行目: 5,083行目:
<code class="tex">\aleph
<code class="tex">\aleph
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \aleph $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\aleph" style="width: 0.821em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℵ</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,302行目: 5,092行目:
<code class="tex">\beth
<code class="tex">\beth
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \beth $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\beth" style="width: 0.514em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.41em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℶ</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,311行目: 5,101行目:
<code class="tex">\gimel
<code class="tex">\gimel
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \gimel $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\gimel" style="width: 0.412em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.309em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.31em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℷ</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,320行目: 5,110行目:
<code class="tex">\daleth
<code class="tex">\daleth
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \daleth $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\daleth" style="width: 0.463em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.281em, 1000.36em, 2.61em, -999.997em); top: -2.247em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">ℸ</span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span></div>
</div>
</div>


5,332行目: 5,122行目:
<code class="tex">\TeX
<code class="tex">\TeX
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \TeX $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\TeX" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.661em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="mpadded"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.889em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.1em;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


5,341行目: 5,131行目:
<code class="tex">\LaTeX
<code class="tex">\LaTeX
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \LaTeX $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\LaTeX" style="width: 1.945em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.54em, 2.661em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">L</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.304em;"></span><span class="mpadded"><span style="display: inline-block; position: relative; width: 0.412em; height: 0px;"><span style="position: absolute; clip: rect(1.383em, 1000.41em, 2.406em, -999.997em); top: -2.298em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">T</span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.151em;"></span><span class="mpadded"><span style="display: inline-block; position: relative; width: 0.463em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -1.889em; left: 0em;"><span class="mrow"><span class="texatom"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">E</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mspace" style="height: 0em; vertical-align: 0em; margin-left: -0.1em;"></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">X</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.581em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>



2025年1月20日 (月) 21:13時点における最新版

Mathjax 2.7に戻る。

概要

 Mathjax2.x系で使えるコード一覧を作成したいと思います。しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、動いていないものは非対応だったんだなと思っていいと思います。

 

Checking environment...

 Version2.0系に関する記事です。このページのMathJaxバージョンは

 

Loading MathJax version...

 

  • 分数

\frac{1}{2}
12


  • 分数(大)

\displaystyle \frac{1}{2}
12


  • 分数(大)2

\dfrac{1}{2}
12


  • 分数(1行)

\require{physics} \flatfrac{1}{2}
(1/2)


  • 分数と括弧

\left( -\frac{1}{2} \right)^2
(12)2


  • 分数と括弧2

\require{physics} \qty{ -\frac{1}{2} }^2
{12}2


  • 連分数

\frac{a+b}{c+\frac{d}{e}}
a+bc+de


  • 連分数2

\cfrac{a+b}{c+\cfrac{d}{e}}
a+bc+de


  • 無限連分数

\begin{eqnarray}
1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots}}}
= \frac{1}{2} \left( 1+\sqrt{5} \right)
\end{eqnarray}
1+11+11+11+=12(1+5)


  • 小数

0.123
0.123


  • 循環小数

\frac{1}{11} = 0.\dot{0}\dot{9}
111=0.0˙9˙


  • 無限小数1

\pi = 3.14 \ldots
π=3.14


  • 無限小数2

\sqrt{2} = 1.4142 \cdots
2=1.4142


  • 無限大

\infty


  • 絶対値

|x|
|x|


  • 絶対値2

\vert x \vert
|x|


  • 分数と絶対値

\left| \dfrac{x}{2} \right|
|x2|


  • 分数と絶対値2

\require{physics} \qty{\dfrac{x}{2}}
{x2}


  • 分数と絶対値3

\require{physics} \abs{ \dfrac{x}{2} }
|x2|


  • ガウス記号

[x]
[x]


  • ガウス記号2

\lbrack x \rbrack
[x]


  • 床関数

\lfloor x \rfloor
x


  • 天井関数

\lceil x \rceil
x


  • ガウス記号サンプル

\begin{eqnarray}
[x]
= \lfloor x \rfloor
= \max\{ n\in\mathbb{Z} \mid n \leqq x \}
\end{eqnarray}
[x]=x=max{nZnx}

 

四則演算

  • 足す

1 + 2
1+2


  • 引く

3 - 1
31


  • 掛ける

2 \times 3
2×3


  • 割る

\require{physics} 6 \divisionsymbol 3
6 ÷ 3


  • プラスマイナス

\pm 1
±1


  • マイナスプラス

\mp 1
1


  • 掛ける(簡略)

a \cdot b = ab
ab=ab


  • 割る(分数)

a \divisionsymbol b = \frac{a}{b}
a ÷ b=ab


  • 掛け算の筆算

\begin{align}
67 \\
\frac{\times\phantom{0}63}{\phantom{0}201} \\
\frac{402\phantom{0}}{4221}
\end{align}
67×632014024221


  • 割り算の筆算

\require{enclose}\begin{align}
  7.6 \\
  25\enclose{longdiv}{190\phantom{.0}} \\
  \frac{175\phantom{.0}}{15\phantom{.}0} \\
  \frac{15\phantom{.}0\phantom{.}}{\phantom{00.}0\phantom{.}} \\
\end{align}

$$ \require{enclose}\begin{align} 7.6 \\ 25\enclose{longdiv}{190\phantom{.0}} \\ \frac{175\phantom{.0}}{15\phantom{.}0} \\ \frac{15\phantom{.}0\phantom{.}}{\phantom{00.}0\phantom{.}} \\ \end{align} $$


  • 合同式

a \equiv b \mod n
abmodn


  • 合同式(括弧付)

a \equiv b \pmod n
ab(modn)


  • 合同式(二項演算子)

\gcd(a, b) = \gcd(b, a \bmod b)
gcd(a,b)=gcd(b,amodb)


  • 比例

x \propto y
xy

 

大小

  • 大なり

a \gt b
a>b


  • 大なりイコール

a \geq b
ab


  • 大なりイコール2

a \geqq b
ab


  • 小なり

a \lt b
a<b


  • 小なりイコール

a \leq b
ab


  • 小なりイコール2

a \leqq b
ab


  • 等しい

a = b
a=b


  • 等しくない

a \neq b
ab


  • ほぼ等しい

a \fallingdotseq b
ab


  • ほぼ等しい2

a \sim b
ab


  • ほぼ等しい3

a \simeq b
ab


  • ほぼ等しい4

a \approx b
ab


  • 十分大きい

a \gg b
ab


  • 十分小さい

a \ll b
ab


  • 最大

\max f(x)
maxf(x)


  • 最小

\min f(x)
minf(x)


  • 最大サンプル

\begin{eqnarray}
\max ( a, b )
=
  \begin{cases}
    a & ( a \geqq b ) \\
    b & ( a \lt b )
  \end{cases}
\end{eqnarray}
max(a,b)={ab(ab)(a<b)

 

複数行数式

  • 改行

\begin{eqnarray}
aaa \\
bbb
\end{eqnarray}
aaabbb


  • 改行(サイズ指定)

\begin{eqnarray}
aaa \\[5pt]
bbb
\end{eqnarray}
aaabbb


  • 位置合わせ

\begin{eqnarray}
x + 2x &=& 3 \\
x &=& 1
\end{eqnarray}
x+2xx==31


  • 連立方程式

\begin{eqnarray}
  \left\{
    \begin{array}{l}
      x + y = 10 \\
      2x + 4y = 32
    \end{array}
  \right.
\end{eqnarray}
{x+y=102x+4y=32


  • 場合分け

\begin{eqnarray}
|x|
 =
  \begin{cases}
    x & ( x \geqq 0 ) \\
    -x & ( x \lt 0 )
  \end{cases}
\end{eqnarray}
|x|={xx(x0)(x<0)

 

集合

  • 帰属関係

x \in A
xA


  • 帰属関係2

A \ni x
Ax


  • 帰属していない

x \notin A
xA


  • 部分集合

A \subset B
AB


  • 部分集合2

A \subseteq B
AB


  • 部分集合3

A \subseteqq B
AB


  • 上位集合

A \supset B
AB


  • 上位集合2

A \supseteq B
AB


  • 上位集合3

A \supseteqq B
AB


  • 部分集合でない

A \not \subset B
AB


  • 真の部分集合

A \subsetneqq B
AB


  • 集合の交わり

A \cap B
AB


  • 集合の結び

A \cup B
AB


  • 空集合

\varnothing


  • 空集合2

\emptyset


  • 補集合

A^c
Ac


  • 補集合2

\overline{ A }
A¯


  • 補集合サンプル

\overline{ (A\cap B) } = \overline{ A } \cup \overline{ B }
(AB)¯=A¯B¯


  • 補集合サンプル2

\begin{eqnarray}
\left( \bigcup_{\lambda\in\Lambda}A_{\lambda} \right)^c
=\bigcap_{\lambda\in\Lambda}A_{\lambda}^c
\end{eqnarray}
(λΛAλ)c=λΛAcλ


  • 差集合

A \setminus B
AB


  • 差集合サンプル

A \setminus B
= A \cap B^c
= \{ x \in A \mid x \notin B \}
AB=ABc={xAxB}


  • 対称差

A \triangle B
AB


  • 対称差サンプル

A \triangle B
= (A \setminus B) \cup (B \setminus A)
AB=(AB)(BA)


  • 自然数全体の集合

\mathbb{ N }
N


  • 整数全体の集合

\mathbb{ Z }
Z


  • 有理数全体の集合

\mathbb{ Q }
Q


  • 実数全体の集合

\mathbb{ R }
R


  • 複素数全体の集合

\mathbb{ C }
C


  • 四元数全体の集合

\mathbb{ H }
H


  • 上限

\sup A
supA


  • 下限

\inf A
infA


  • アレフ数

\aleph

 

論理

  • 含意

P \implies Q
PQ


  • 含意2

P \Rightarrow Q
PQ


  • 含意3

P \to Q
PQ


  • 含意(逆向き)

P \Leftarrow  Q
PQ


  • 含意(逆向き)2

P \gets  Q
PQ


  • 同値

P \iff Q
PQ


  • 同値2

P \Leftrightarrow Q
PQ


  • 同値3

P \leftrightarrow Q
PQ


  • 同値4

P \equiv Q
PQ


  • よって

\therefore


  • なぜならば

\because


  • すべての

\forall x
x


  • 在る

\exists x
x


  • 存在しない

\nexists


  • 量化記号サンプル

\begin{eqnarray}
& & {}^\forall \varepsilon \gt 0, {}^\exists \delta \gt 0 \mbox{ s.t. } \\
& & {}^\forall x \in \mathbb{ R }, 0 \lt |x - a| \lt \delta
\implies |f(x) - b| \lt \varepsilon 
\end{eqnarray}
ε>0,δ>0 s.t. xR,0<|xa|<δ|f(x)b|<ε


  • 論理積

P \land Q
PQ


  • 論理和

P \lor Q
PQ


  • 否定

\lnot P
¬P


  • 否定2

\overline{ P }
P¯


  • 否定3

!P
!P


  • 排他的論理和

P \oplus Q
PQ


  • 排他的論理和2

P \veebar Q
PQ


  • 排他的論理和サンプル

P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q)
PQ=(P¬Q)(¬PQ)


  • トートロジー

\top


  • 矛盾

\bot


  • 証明可能

P \vdash Q
PQ


  • 論理的帰結

P \models Q
PQ

 

順列と組合せ

  • 順列

{}_n \mathrm{ P }_k
nPk


  • 組合せ

{}_n \mathrm{ C }_k
nCk


  • 階乗

n!
n!


  • 二項係数

\binom{ n }{ k }
(nk)


  • 二項係数2

{ n \choose k }
(nk)


  • 二項係数3

\dbinom{ n }{ k }
(nk)


  • 重複組合せ

{}_n \mathrm{ H }_k
nHk


  • 組合せサンプル

\begin{eqnarray}
{}_n \mathrm{ C }_k
 = \binom{ n }{ k }
 = \frac{ n! }{ k! ( n - k )! }
\end{eqnarray}
nCk=(nk)=n!k!(nk)!


  • 順列サンプル

\begin{eqnarray}
{}_n \mathrm{ P }_k
 = n \cdot ( n - 1 ) \cdots ( n - k + 1 )
 = \frac{ n! }{ ( n - k )! }
\end{eqnarray}
nPk=n(n1)(nk+1)=n!(nk)!

 

総和・総乗

  • 総和

\sum_{i=1}^{n} a_i
i=1nai


  • 総和(大)

\displaystyle \sum_{i=1}^n a_i
i=1nai


  • 総和サンプル

\begin{eqnarray}
\sum_{ k = 1 }^{ n } k^2
 = \overbrace{ 1^2 + 2^2 + \cdots + n^2 }^{ n }
 = \frac{ 1 }{ 6 } n ( n + 1 ) ( 2n + 1 )
\end{eqnarray}
k=1nk2=12+22++n2n=16n(n+1)(2n+1)


  • 総乗

\prod_{ i = 0 }^n x_i
i=0nxi


  • 総乗(大)

\displaystyle \prod_{i=0}^n x_i
i=0nxi


  • 総乗サンプル

\begin{eqnarray}
n! = \prod_{ k = 1 }^n k
\end{eqnarray}
n!=k=1nk


  • 総乗サンプル2

\begin{eqnarray}
\zeta (s)
 = \prod_{ p:\mathrm{ prime } }
   \frac{ 1 }{ 1-p^{-s} }
\end{eqnarray}
ζ(s)=p:prime11ps

 

指数・対数

  • べき乗

2^3
23


  • べき乗2

e^{ i \pi }
eiπ


  • 指数関数

\exp ( x )
exp(x)


  • 平方根

\sqrt{ 2 }
2


  • 平方根(高さを揃える)

\sqrt{ \mathstrut a } + \sqrt{ \mathstrut b }
a+b


  • べき根

\sqrt[ n ]{ x }
xn


  • 対数

\log x
logx


  • 対数(底)

\log_{ 2 } x
log2x


  • 自然対数

\ln x
lnx

 

図形

  • 角度(度数)

90^{ \circ }
90


  • 角度(ラジアン)

\frac{ \pi }{ 2 }
π2


  • 角記号

\angle A
A


  • 平行(日本スタイル)

AB /\!/ CD
AB//CD


  • 平行(海外スタイル)

AB \parallel CD
ABCD


  • 垂直

AB \perp CD
ABCD


  • 三角形

\triangle ABC
ABC


  • 四角形

\Box ABCD
ABCD


\stackrel{\huge\frown}{AB}
AB


\overparen{AB}
AB


  • 合同(日本スタイル)

\triangle ABC \equiv \triangle DEF
ABCDEF


  • 合同(海外スタイル)

\triangle ABC \cong \triangle DEF
ABCDEF


  • 相似(日本スタイル)

\triangle ABC \backsim \triangle DEF
ABCDEF


  • 相似(海外スタイル)

\triangle ABC \sim \triangle DEF
ABCDEF

 

三角関数

  • サイン

\sin x
sinx


  • コサイン

\cos x
cosx


  • タンジェント

\tan x
tanx


  • サインサンプル

\begin{eqnarray}
\sin 45^\circ
 = \frac{ \sqrt{2} }{ 2 }
\end{eqnarray}
sin45=22


  • コサインサンプル

\begin{eqnarray}
\cos \frac{ \pi }{ 3 }
 = \frac{ 1 }{ 2 }
\end{eqnarray}
cosπ3=12


  • タンジェントサンプル

\begin{eqnarray}
\tan \theta
 = \frac{ \sin \theta }{ \cos \theta }
\end{eqnarray}
tanθ=sinθcosθ


  • セカント

\sec x
secx


  • コセカント

\csc x
cscx


  • コタンジェント

\cot x
cotx


  • アークサイン

\arcsin x
arcsinx


  • アークコサイン

\arccos x
arccosx


  • アークタンジェント

\arctan x
arctanx


  • ハイパボリックサイン

\sinh x
sinhx


  • ハイパボリックコサイン

\cosh x
coshx


  • ハイパボリックタンジェント

\tanh x
tanhx


  • ハイパボリックコタンジェント

\coth x
cothx

 

複素数

  • 複素数

a+bi
a+bi


  • 実部

\Re x
Re{x}


  • 実部2

\require{physics} \Re x
Re{x}


  • 虚部

\Im x
Im{x}


  • 虚部2

\require{physics} \Im x
Im{x}


  • 共役複素数

\bar{z}
z¯


  • 偏角

\arg (z)
arg(z)


  • 1の3乗根

\omega
ω


  • 複素数サンプル

\begin{eqnarray}
z\bar{z} = |z|^2
\end{eqnarray}
zz¯=|z|2

 

極限

  • 極限

\lim_{ x \to +0 } \frac{1}{x} = \infty
limx+01x=


  • 極限(大)

\displaystyle \lim_{ n \to \infty } f_n(x) = f(x)
limnfn(x)=f(x)


  • 上極限

\limsup_{ n \to \infty } a_n
limsupnan


  • 上極限(簡略)

\varlimsup_{ n \to \infty } a_n
lim¯nan


  • 下極限

\liminf_{ n \to \infty } a_n
liminfnan


  • 下極限(簡略)

\varliminf_{ n \to \infty } a_n
lim_nan


  • 上極限サンプル

\begin{eqnarray}
\varlimsup_{ n \to \infty } a_n
 = \lim_{ n \to \infty } \sup_{ k \geqq n } a_k
\end{eqnarray}
lim¯nan=limnsupknak


  • 下極限サンプル

\begin{eqnarray}
\varliminf_{ n \to \infty } A_n
 = \bigcup_{ n = 1 }^{ \infty } \bigcap_{ k = n }^{ \infty } A_k
 = \bigcup_{ n \in \mathbb{ N } } \bigcap_{ k \geqq n } A_k
\end{eqnarray}
lim_nAn=n=1k=nAk=nNknAk


  • ランダウの記号

\mathcal{O}
O

 

微分

  • 微分(ライプニッツ)

\frac{ dy }{ dx }
dydx


  • 微分(ライプニッツ)2

\frac{ \mathrm{ d } y }{ \mathrm{ d } x }
dydx


  • 微分(ライプニッツ)3

\require{physics} \dv{y}{x}
dydx


  • n階微分(ライプニッツ)

\frac{ d^n y }{ dx^n }
dnydxn


  • n階微分(ライプニッツ)2

\require{physics} \dv[n]{f}{x}
d[dn]fx


  • ある点での微分(ライプニッツ)

\left. \frac{dy}{dx} \right|_{x=a}
dydx|x=a


  • ある点での微分(ライプニッツ)2

\require{physics} \eval{\dv{y}{x}}_{x=a}
dydx|x=a


  • 微分(ラグランジュ)

f^{\prime}
f


  • 2階微分(ラグランジュ)

f^{\prime\prime}
f


  • n階微分(ラグランジュ)

f^{ ( n ) }
f(n)


  • 微分(オイラー)

Df
Df


  • 微分(オイラー)2

D_x f
Dxf


  • n階微分(オイラー)

D^n f
Dnf


  • 微分(ニュートン)

\dot{y} = \frac{dy}{dt}
y˙=dydt


  • 4階微分(ニュートン)

\ddddot{ y } = \frac{ d^4 y }{ dt^4 }
y=d4ydt4


  • 微分サンプル

\begin{eqnarray}
f^{\prime}(x)
 = \frac{ df }{ dx }
 = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
f(x)=dfdx=limΔx0f(x+Δx)f(x)Δx


  • 偏微分

\frac{ \partial f }{ \partial x }
fx


  • 2階偏微分

\frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z
yxz


  • n階偏微分

\frac{ \partial^n f}{ \partial x^n }
nfxn


  • 偏微分2

\require{physics} \pdv{f}{x}
fx


  • 2階偏微分2

\require{physics} \pdv{f}{x}{y}
fxy


  • n階偏微分2

\require{physics} \pdv[n]{f}{x}
[n]fx


  • 偏微分(簡略)

f_x
fx


  • 2階偏微分(簡略)

f_{ xy }
fxy


  • ナブラ

\nabla f
f


  • ラプラシアン

\Delta f
Δf


  • ラプラシアン サンプル

\begin{eqnarray}
\Delta \varphi
 = \nabla^2 \varphi
 = \frac{ \partial^2 \varphi }{ \partial x^2 }
   + \frac{ \partial^2 \varphi }{ \partial y^2 }
   + \frac{ \partial^2 \varphi }{ \partial z^2 }
\end{eqnarray}
Δφ=2φ=2φx2+2φy2+2φz2


  • 増減表

\begin{array}{c|ccccc}
  x     & \cdots & -1 & \cdots & 1 & \cdots \\ 
  \hline
  f^{\prime}(x) & + & 0 & – & 0 & + \\ 
  \hline
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf(x)f(x)+10e10e+

 

積分

  • 積分

\int_0^1 f(x) dx
10f(x)dx


  • 積分(大)

\displaystyle \int_{-\infty}^{ \infty } f(x) dx
f(x)dx


  • 積分サンプル

\begin{eqnarray}
\int_0^1 x dx
= \left[ \frac{x^2}{2} \right]_0^1
= \frac{1}{2}
\end{eqnarray}
10xdx=[x22]10=12


  • 2重積分

\iint_D f(x,y) dxdy
Df(x,y)dxdy


  • 多重積分

\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n
Df(x1,x2,,xn)dx1dxn


  • 周回積分

\oint_C f(z) dz
Cf(z)dz

 

ベクトル

  • ベクトル

\vec{ a }
a


  • ベクトル2文字

\overrightarrow{ AB }
AB


  • ベクトル太文字

\boldsymbol{ A }
A


  • 横ベクトル

( a_1, a_2, \ldots, a_n )
(a1,a2,,an)


  • 縦ベクトル

\left(
  \begin{array}{c}
    a_1 \\
    a_2 \\
    \vdots \\
    a_n
  \end{array}
\right)
(a1a2an)


  • ベクトルサンプル

\begin{eqnarray}
\boldsymbol{ 1 }
=( \underbrace{ 1, 1, \ldots, 1 }_{ n } )^{ \mathrm{ T } }
=\left(
   \begin{array}{c}
     1 \\
     1 \\
     \vdots \\
     1
   \end{array}
 \right)
\end{eqnarray}
1=(1,1,,1n)T=(111)


  • 単位ベクトルサンプル

\boldsymbol{ \rm{ e } }_k
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}}
ek=(0,,0,1k,0,,0)T


  • ノルム

\| x \|
x


  • ノルム2

\require{physics} \norm{ \dfrac{1}{2} }
12


  • 内積

\vec{ a } \cdot \vec{ b }
ab


  • 外積

\vec{ a } \times \vec{ b }
a×b

 

行列

  • 行列(丸かっこ)

\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
(acbd)


  • 行列(角かっこ)

\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
[acbd]


  • 行列(縦線)

\begin{vmatrix}
a & b \\
c & d
\end{vmatrix}
|acbd|


  • 転置行列

A^{ \mathrm{ T } }
AT


  • 転置行列2

{}^t \! A
tA


  • 次元

\dim
dim


  • 行列の階数

\mathrm{ rank } A
rankA


  • 対角和

\mathrm{ Tr } A
TrA


  • 行列式

\mathrm{ det }A
detA


  • 行列式サンプル

\begin{eqnarray}
\mathrm{ det }A
 = | A |
 = \begin{vmatrix} a & b \\ c & d \end{vmatrix}
 = ad - bc
\end{eqnarray}
detA=|A|=|acbd|=adbc


  • 行列(大)

\begin{pmatrix}
  a & b & c \\
  d & e & f \\
  g & h & I
\end{pmatrix}
(adgbehcfI)


  • 行列(大)

\begin{eqnarray}
\left(
  \begin{array}{ccc}
    a & b & c \\
    d & e & f \\
    g & h & i
  \end{array}
\right)
\end{eqnarray}
(adgbehcfi)


  • 行列(右寄せ)

\begin{eqnarray}
\left(
  \begin{array}{rrr}
    111 & 111 & 111 \\
    22 & 0.2 & -2 \\
    3 & 3 & 3
  \end{array}
\right)
\end{eqnarray}
(1112231110.2311123)


  • 行列(m行n列)

\begin{eqnarray}
A = \left(
  \begin{array}{cccc}
    a_{ 11 } & a_{ 12 } & \ldots & a_{ 1n } \\
    a_{ 21 } & a_{ 22 } & \ldots & a_{ 2n } \\
    \vdots & \vdots & \ddots & \vdots \\
    a_{ m1 } & a_{ m2 } & \ldots & a_{ mn }
  \end{array}
\right)
\end{eqnarray}
A=(a11a21am1a12a22am2a1na2namn)


  • ブロック行列

\begin{eqnarray}
\left(
  \begin{array}{cc|cc}
    a & b & 0 & 0 \\
    c & d & 0 & 0 \\
    \hline
    x & y & 1 & 0 \\
    z & w & 0 & 1 \\
  \end{array}
\right)
\end{eqnarray}
(acxzbdyw00100001)


  • ジョルダン細胞

\begin{eqnarray}
\begin{pmatrix}
  \lambda & 1 &   &  & 0 \\
    & \lambda & 1 &   &   \\
    &   & \ddots & \ddots &   \\
    &   &   & \lambda & 1  \\
  0 &   &   &   & \lambda
\end{pmatrix}
\end{eqnarray}
(λ01λ1λ01λ)


  • 余因子

\begin{eqnarray}
& & (-1)^{ i+j } \times \\[5pt]
& & \quad
\begin{vmatrix}
  a_{1,1} & \ldots & a_{1,j-1} & a_{1,j+1} & \ldots & a_{1,n} \\
  \vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\
  a_{i-1,1} & \ldots & a_{i-1, j-1} & a_{i-1, j+1} & \ldots & a_{i-1, n} \\
  a_{i+1,1} & \ldots & a_{i+1, j-1} & a_{i+1, j+1} & \ldots & a_{i+1, n} \\
  \vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\
  a_{n,1} & \ldots & a_{n, j-1} & a_{n, j+1} & \ldots & a_{n, n}
\end{vmatrix}
\end{eqnarray}
(1)i+j×|a1,1ai1,1ai+1,1an,1a1,j1ai1,j1ai+1,j1an,j1a1,j+1ai1,j+1ai+1,j+1an,j+1a1,nai1,nai+1,nan,n|

 

\begin{array}{ccc}
  xxx & yyy & zzz \\
  1   & 2   & 3
\end{array}
xxx1yyy2zzz3


  • 表(縦線付)

\begin{array}{|c|c|c|}
  xxx & yyy & zzz \\
  1   & 2   & 3 \\
\end{array}
xxx1yyy2zzz3


  • 表(横線付)

\begin{array}{ccc}
  \hline
  xxx & yyy & zzz \\
  \hline
  1   & 2   & 3 \\
  \hline
\end{array}
xxx1yyy2zzz3


  • 表サンプル

\begin{array}{c|ccccc}
  x     & \cdots & -1 & \cdots & 1 & \cdots \\ 
  \hline
  f^{\prime}(x) & + & 0 & – & 0 & + \\ 
  \hline
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf(x)f(x)+10e10e+

 

可換図式

  • 可換図式サンプル

\require{AMScd}
\begin{CD}
A @>{f}>> B\\
@V{gg}VV {\large\circlearrowleft} @VV{hh}V\\
C @>>{k}> D
\end{CD}

\require{AMScd} \begin{CD} A @>{f}>> B\\ @V{gg}VV {\large\circlearrowleft} @VV{hh}V\\ C @>>{k}> D \end{CD}

 

  • 縦線

| x |
|x|


  • 縦線2

\vert x \vert
|x|


  • 縦線3

\{ x \mid x \in A \}
{xxA}


  • 2重縦線

\Vert x \Vert
x


  • 2重縦線2

AB \parallel CD
ABCD


  • 上線

\overline{ A }
A¯


  • 上線2

\bar{ A }
A¯


  • 下線

\underline{ A }

$$ \underline{ A } $$


  • スラッシュ

/
/


  • バックスラッシュ

\backslash


  • 斜線(下)

\diagdown


  • 斜線(上)

\diagup


  • キャンセル

\cancel{a}

$$ \cancel{a} $$


  • バックキャンセル

\bcancel{a}

$$ \bcancel{a} $$


  • ×印キャンセル

\xcancel{a}

$$ \xcancel{a} $$


  • キャンセルと矢印

\cancelto{A}{a}

$$ \cancelto{A}{a} $$


  • キャンセルサンプル

\begin{eqnarray}
\frac{\cancel{2}}{\cancel{6}}=\frac{1}{3}
\end{eqnarray}

$$ \begin{eqnarray} \frac{\cancel{2}}{\cancel{6}}=\frac{1}{3} \end{eqnarray} $$


  • キャンセルと矢印サンプル

\begin{eqnarray}
\frac{1}{\cancel{3}} \times \frac{\cancelto{2}{6}}{5}
\end{eqnarray}

$$ \begin{eqnarray} \frac{1}{\cancel{3}} \times \frac{\cancelto{2}{6}}{5} \end{eqnarray} $$


  • 左下の角

\llcorner


  • 右下の角

\lrcorner


  • 左上の角

\ulcorner


  • 右上の角

\urcorner

 

矢印

  • 左矢印

\leftarrow


  • 左矢印(長い)

\longleftarrow


  • 右矢印

\rightarrow


  • 右矢印(長い)

\longrightarrow


  • 上矢印

\uparrow


  • 下矢印

\downarrow


  • 左右矢印

\leftrightarrow


  • 左右矢印(長い)

\longleftrightarrow


  • 上下矢印

\updownarrow


  • 2重左矢印

\Leftarrow


  • 2重左矢印(長い)

\Longleftarrow


  • 2重右矢印

\Rightarrow


  • 2重右矢印(長い)

\Longrightarrow


  • 2重上矢印

\Uparrow


  • 2重下矢印

\Downarrow


  • 2重左右矢印

\Leftrightarrow


  • 2重左右矢印(長い)

\Longleftrightarrow


  • 2重上下矢印

\Updownarrow


  • 右上矢印

\nearrow


  • 右下矢印

\searrow


  • 左上矢印

\nwarrow


  • 左下矢印

\swarrow


  • 棒付矢印

\mapsto


  • 棒付矢印(長い)

\longmapsto


  • 頭に矢印

\vec{ a }
a


  • 頭に矢印2

\overrightarrow{ AB }
AB


  • 頭に矢印(左向き)

\overleftarrow{ AB }
AB


  • 時計回り矢印

\circlearrowright


  • 反時計回り矢印

\circlearrowleft

 

括弧

  • 丸括弧

( x )
(x)


  • 角括弧

[ x ]
[x]


  • 角括弧2

\lbrack x \rbrack
[x]


  • かぎ括弧

\lceil x \rfloor
x


  • かぎ括弧2

\lfloor x \rceil
x


  • 波括弧

\{ x \}
{x}


  • 波括弧2

\lbrace x \rbrace
{x}


  • 山括弧

\langle x \rangle
x


  • 大きい括弧

\left[ \dfrac{ 1 }{ 2 } \right]
[12]


  • 上括弧

\overbrace{ x + y + z }
x+y+z


  • 上括弧と文字

\overbrace{ a_1 + \cdots + a_n }^{ n }
a1++ann


  • 下括弧

\underbrace{ x + y + z }
x+y+z


  • 下括弧と文字

\underbrace{ a_1 + \cdots + a_n }_{ n }
a1++ann

 

  • 点(中央)

\cdot


  • 複数の点(中央横向き)

\cdots


  • 複数の点(下側横向き)

\ldots


  • 複数の点(中央縦向き)

\vdots


  • 複数の点(斜め)

\ddots


  • 頭に点

\dot{ a }
a˙


  • 頭に2つの点

\ddot{ a }
a¨

 

  • 白丸

\circ


  • 黒丸

\bullet


  • 大きい丸

\bigcirc


  • 丸にプラス

\oplus


  • 丸にマイナス

\ominus


  • 丸に掛ける

\otimes


  • 丸に点

\odot

 

三角形

  • 三角形

\triangle


  • 下向き三角形

\triangledown


  • 大きな上向き三角形

\bigtriangleup


  • 大きな下向き三角形

\bigtriangledown


  • 左向き三角形

\triangleleft


  • 左向き三角形2

\lhd


  • 右向き三角形

\triangleright


  • 右向き三角形2

\rhd


  • 左向き三角形と下線

\unlhd


  • 右向き三角形と下線

\unrhd


  • 黒い三角形

\blacktriangle

 

四角形

  • 正方形

\square


  • 四角形

\Box


  • 四角形と十字

\boxplus


  • 四角形と横線

\boxminus


  • 四角形と×

\boxtimes


  • 四角形と点

\boxdot


  • 黒い正方形

\blacksquare


  • ダイヤモンド

\diamond


  • ダイヤモンド2

\Diamond


  • ひし形

\lozenge


  • 黒いひし形

\blacklozenge


  • 枠付きテキスト

\boxed{ abc }
abc


  • 枠付きテキスト2

\fbox{ abc }
 abc 


  • 枠付きテキスト3

\bbox[yellow, 5pt, border: 2px dotted red]{abc}
abc

 

二項演算

  • アスタリスク

\ast


  • スター

\star


  • 左線と掛ける

\ltimes


  • 右線と掛ける

\rtimes


  • 自然結合

\Join

 

一般的な記号

  • ドル記号

\$
$


  • &記号

\And
&


  • 円マーク

\yen
¥


  • チェックマーク

\checkmark


  • ダイヤモンド

\diamondsuit


  • ハート

\heartsuit


  • クラブ

\clubsuit


  • スペード

\spadesuit


  • フラット

\flat


  • ナチュラル

\natural


  • シャープ

\sharp


  • ダガー

\dagger


  • ダガー2

\ddagger

 

空白

  • 空白

aaa \ bbb
aaa bbb


  • 広い空白

aaa \quad bbb
aaabbb


  • 広い空白2

aaa \qquad bbb
aaabbb


  • 空白(サイズ指定)

aaa \hspace{ 10pt } bbb
aaabbb


  • 空白をなくす

aaa \! bbb
aaabbb


  • 改行

\begin{eqnarray} 
aaa \\ bbb
\end{eqnarray}
aaabbb


  • 改行(サイズ指定)

\begin{eqnarray} 
aaa \\[5pt] bbb
\end{eqnarray}
aaabbb


  • 改行(サイズ指定)サンプル

\begin{eqnarray}
& & \frac{1}{2} +\frac{1}{3} +\frac{1}{6} \\[ 5pt ]
&=& \frac{3}{6} +\frac{2}{6} +\frac{1}{6} \\
&=& 1
\end{eqnarray}
==12+13+1636+26+161

 

文字サイズ

  • 極小サイズ

\tiny{ abc ABC }
abcABC


  • 小さいサイズ

\scriptsize{ abc ABC }
abcABC


  • 小さいサイズ2

\small{ abc ABC }
abcABC


  • ノーマルサイズ

\normalsize{ abc ABC }
abcABC


  • 大きいサイズ

\large{ abc ABC }
abcABC


  • 大きいサイズ2

\Large{ abc ABC }
abcABC


  • 大きいサイズ3

\LARGE{ abc ABC }
abcABC


  • 極大サイズ

\huge{ abc ABC }
abcABC


  • 極大サイズ2

\Huge{ abc ABC }
abcABC

 

フォント

  • ローマン体

\mathrm{ ABC }
ABC


  • タイプライターフォント

\mathtt{ ABC }
ABC


  • サンセリフ

\mathsf{ ABC }
ABC


  • カリグラフィーフォント

\mathcal{ ABC }
ABC


  • 太文字

\mathbf{ ABC }
ABC


  • イタリック

\mathit{ ABC }
ABC


  • 中抜き文字

\mathbb{ ABC }
ABC


  • スクリプトフォント

\mathscr{ ABC }
ABC


  • フラクトゥール

\mathfrak{ ABC }
ABC


  • ローマン体 サンプル

\mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz


  • タイプライターフォント サンプル

\mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz


  • サンセリフ サンプル

\mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz


  • カリグラフィーフォント サンプル

\mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
ABCDEFGHIJKLMNOPQRSTUVWXYZ


  • 太文字 サンプル

\mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz


  • イタリック サンプル

\mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz


  • 中抜き文字 サンプル

\mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
ABCDEFGHIJKLMNOPQRSTUVWXYZ


  • スクリプトフォント サンプル

\mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
ABCDEFGHIJKLMNOPQRSTUVWXYZ


  • フラクトゥール サンプル

\mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz

 

上付き・下付き

  • 上付き文字

a^{ xy }
axy


  • 上付き文字(左)

{}^{ xy } a
xya


  • 下付き文字

a_{ xy }
axy


  • 下付き文字(左)

{}_{ xy } a
xya


  • 下付きサンプル

\begin{eqnarray}
a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 }
\end{eqnarray}
a2n+a2n+1=a2n+1

 

アクセント

  • ハット

\hat{ a }
a^


  • グレイブ

\grave{ a }
a`


  • アキュート

\acute{ a }
a´


  • ドット

\dot{ a }
a˙


  • ダブルドット

\ddot{ a }
a¨


  • バー

\bar{ a }
a¯


  • 矢印

\vec{ a }
a


  • チェック

\check{ a }
aˇ


  • チルダ

\tilde{ a }
a~


  • ブリーブ

\breve{ a }
a˘


  • 広いハット

\widehat{ AAA }
AAA^


  • 広いチルダ

\widetilde{ AAA }
AAA~

 

アルファベット

  • さかさまの A

\forall


  • さかさまの E

\exists


  • さかさまの F

\Finv


  • バー付きの h

\hbar


  • 点なしの i

\imath
ı


  • 点なしの j

\jmath
ȷ


  • 中抜き文字の k

\Bbbk
k


  • 筆記体の l

\ell


  • 丸付きの R

\circledR
®


  • 丸付きの S

\circledS

 

ギリシャ文字

  • アルファ

\alpha
α


  • ベータ

\beta
β


  • ガンマ

\gamma
γ


  • デルタ

\delta
δ


  • イプシロン

\epsilon
ϵ


  • イプシロン2

\varepsilon
ε


  • ゼータ

\zeta
ζ


  • イータ

\eta
η


  • シータ

\theta
θ


  • シータ2

\vartheta
ϑ


  • イオタ

\iota
ι


  • カッパ

\kappa
κ


  • ラムダ

\lambda
λ


  • ミュー

\mu
μ


  • ニュー

\nu
ν


  • クシー

\xi
ξ


  • オミクロン

o
o


  • パイ

\pi
π


  • パイ2

\varpi
ϖ


  • ロー

\rho
ρ


  • ロー2

\varrho
ϱ


  • シグマ

\sigma
σ


  • シグマ2

\varsigma
ς


  • タウ

\tau
τ


  • ユプシロン

\upsilon
υ


  • ファイ

\phi
ϕ


  • ファイ2

\varphi
φ


  • カイ

\chi
χ


  • プシー

\psi
ψ


  • オメガ

\omega
ω


  • アルファ(大)

A
A


  • ベータ(大)

B
B


  • ガンマ(大)

\Gamma
Γ


  • ガンマ(大)2

\varGamma
Γ


  • デルタ(大)

\Delta
Δ


  • デルタ(大)2

\varDelta
Δ


  • イプシロン(大)

E
E


  • ゼータ(大)

Z
Z


  • イータ(大)

H
H


  • シータ(大)

\Theta
Θ


  • シータ(大)2

\varTheta
Θ


  • イオタ(大)

I
I


  • カッパ(大)

K
K


  • ラムダ(大)

\Lambda
Λ


  • ラムダ(大)2

\varLambda
Λ


  • ミュー(大)

M
M


  • ニュー(大)

N
N


  • クシー(大)

\Xi
Ξ


  • クシー(大)2

\varXi
Ξ


  • オミクロン(大)

O
O


  • パイ(大)

\Pi
Π


  • パイ(大)2

\varPi
Π


  • ロー(大)

P
P


  • シグマ(大)

\Sigma
Σ


  • シグマ(大)2

\varSigma
Σ


  • タウ(大)

T
T


  • ユプシロン(大)

\Upsilon
Υ


  • ユプシロン(大)2

\varUpsilon
Υ


  • ファイ(大)

\Phi
Φ


  • ファイ(大)2

\varPhi
Φ


  • カイ(大)

X
X


  • プシー(大)

\Psi
Ψ


  • プシー(大)2

\varPsi
Ψ


  • オメガ(大)

\Omega
Ω


  • オメガ(大)2

\varOmega
Ω

 

HTML

  • 色付きの文字

\color{red}{a \times b}
a×b


  • 色付きの文字2

\color{ #ff0000 }{a \times b}
a×b


  • 色付きの箱

\colorbox{red}{ Important! }
 Important! 


  • 色付きの箱2

\colorbox{red}{$a \times b$}
a×b


  • 枠線と色のついた箱

\fcolorbox{black}{ #00ff00 }{$a \times b$}
a×b


  • 枠線と色のついた箱 2

\bbox[yellow, 5pt, border: 2px dotted red]{abc}
abc


  • ユニコード

\unicode{x0041}
A


  • ユニコードサンプル

\begin{eqnarray}
\unicode{x5F45}\text{は、弓へんに剪。}
\end{eqnarray}

 

特殊文字

  • セクション

\S
§


  • アレフ

\aleph


  • ベート

\beth


  • ギメル

\gimel


  • ダレット

\daleth

 

ロゴ

  • tex

\TeX
TEX


  • latex

\LaTeX
LATEX

 

Mathjax 2.7に戻る。