「Mathjax2.x 練習場」の版間の差分

提供：yonewiki
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　Mathjax2.x系で使えるコード一覧を作成したいと思います。<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{3}{5}" 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(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; 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;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; 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;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 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: 0.36em; 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: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>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、<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{5}{9}" 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(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; 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;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; 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;">9</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 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: 0.36em; 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: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>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。<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{3}{5}" 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(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; 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;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; 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;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 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: 0.36em; 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: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>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、<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{5}{9}" 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(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; 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;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; 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;">9</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 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: 0.36em; 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: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>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>
　M(Markovian:マルコフ指数分布)/M(Markovian:マルコフ指数分布)/1待ち行列モデルの問題の出題率は極めて高いので必ず覚えておくべきモデルです。


　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>
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_W\_q_=_\frac{\rho}{1_-_\rho}_\times_T\_s" 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(0.821em, 1007.37em, 3.173em, -999.997em); top: -2.145em; 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(3.173em, 1001.08em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.054em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.832em; left: 0.974em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">q</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.258em;">=</span><span class="mfrac" style="padding-left: 0.258em;"><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(3.377em, 1000.51em, 4.349em, -999.997em); top: -4.65em; left: 50%; margin-left: -0.253em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">ρ</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.121em, 1002.15em, 4.349em, -999.997em); top: -3.321em; left: 50%; margin-left: -1.122em;"><span class="mrow"><span class="mn" style="font-family: NeoEulerMathJax_Main;">1</span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">−</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></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 class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</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(3.121em, 1000.57em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.832em; left: 0.514em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">s</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.166em; border-left: 0px solid; width: 0px; height: 2.731em;"></span></span></span></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
<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_W\_q" 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(1.281em, 1001.49em, 2.559em, -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(3.173em, 1001.08em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.054em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.832em; left: 0.974em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">q</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: -0.451em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></span>：平均待ち時間
window.onload = function() {
 
  const keys = Object.keys(window).sort(); // グローバル変数を列挙
<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\rho" 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(1.536em, 1000.51em, 2.508em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi" style="font-family: NeoEulerMathJax_Main;">ρ</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: 0.977em;"></span></span></span>：システムの利用率
  const output = keys.includes("MathJax") ? "MathJax is defined." : "MathJax is not defined. Global keys: " + keys.join(", ");
 
  document.getElementById("output").textContent = output;
<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_T\_s" 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(1.23em, 1000.87em, 2.406em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(3.121em, 1000.57em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.832em; left: 0.514em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">s</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: -0.256em; border-left: 0px solid; width: 0px; height: 1.237em;"></span></span></span>：平均サービス時間 ※<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\mu_=_\frac{1}{T\_s}" 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(1.076em, 1002.87em, 2.815em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mi" style="font-family: NeoEulerMathJax_Main;">μ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.258em;">=</span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.326em, 1000.21em, 4.144em, -999.997em); top: -4.395em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.326em, 1000.62em, 4.246em, -999.997em); top: -3.577em; left: 50%; margin-left: -0.304em;"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px;"><span style="position: absolute; clip: rect(3.326em, 1000.41em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.054em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.883em; left: 0.36em;"><span class="mi" style="font-size: 50%; font-family: NeoEulerMathJax_Main;">s</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(0.872em, 1000.77em, 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: 0.77em; 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><span style="display: inline-block; overflow: hidden; vertical-align: -0.711em; border-left: 0px solid; width: 0px; height: 1.951em;"></span></span></span>：サービス率で<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_T\_s" 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(1.23em, 1000.87em, 2.406em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.872em; height: 0px;"><span style="position: absolute; clip: rect(3.121em, 1000.57em, 4.144em, -999.997em); top: -3.986em; left: 0em;"><span class="mi" style="font-family: NeoEulerMathJax_Main;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; top: -3.832em; left: 0.514em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">s</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: -0.256em; border-left: 0px solid; width: 0px; height: 1.237em;"></span></span></span>の代わりに<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{1}{\mu}" 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(1.025em, 1000.77em, 2.712em, -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(3.326em, 1000.21em, 4.144em, -999.997em); top: -4.395em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.531em, 1000.46em, 4.297em, -999.997em); top: -3.628em; left: 50%; margin-left: -0.202em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">μ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></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: -0.646em; border-left: 0px solid; width: 0px; height: 1.886em;"></span></span></span>との積で表現する場合もあります。


  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>


　
　

2025年1月27日 (月) 16:33時点における版

Mathjax 2.7に戻る。

Mathjax2.x コード一覧に戻る。

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。35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、59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。

　M(Markovian:マルコフ指数分布)/M(Markovian:マルコフ指数分布)/1待ち行列モデルの問題の出題率は極めて高いので必ず覚えておくべきモデルです。


Wq=ρ1−ρ×Ts


Wq：平均待ち時間

ρ：システムの利用率

Ts：平均サービス時間 ※μ=1Ts：サービス率でTsの代わりに1μとの積で表現する場合もあります。


　

数

  • キャンセル４

\cancel{a}
a


  • 分数(NonMathjax)

\frac{1}{2}
12


  • 分数（大）

\displaystyle \frac{1}{2}
12


  • 分数（大）2

\dfrac{1}{2}
12


  • 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)⋯+↗−10e⋯–↘10−e⋯+↗


  • 平方根

\sqrt{ 2 }
2√


  • 微分（ラグランジュ）

f^{\prime}
f′


  • 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=limΔx→0f(x+Δx)−f(x)Δx


  • 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)⋯+↗−10e⋯–↘10−e⋯+↗


  • 下線

\underline{ A }

$$ \underline{ A } $$


  • 下線

\underline{ A }
A_


  • 下線

\underline{ AB }
AB_
「https://wiki.yo-net.jp/index.php?title=Mathjax2.x_練習場&oldid=10036」から取得