|
|
| (同じ利用者による、間の40版が非表示) |
| 22行目: |
22行目: |
| 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"] |
| }, | | }, |
| "HTML-CSS": {
| | "HTML-CSS": { |
| undefinedFamily: "'Neo Euler Medium', Meiryo, STIXGeneral, 'Arial Unicode MS', serif",
| | availableFonts: [], |
| webFont :"Neo Euler Medium"
| | preferredFont: null, |
| }
| | webFont: "STIX-Web" |
| | }, |
| | // "HTML-CSS": { |
| | // undefinedFamily: "'Neo Euler Medium', Meiryo, STIXGeneral, 'Arial Unicode MS', serif", |
| | // webFont :"Neo Euler Medium" |
| | // } |
| } | | } |
| );</script> | | );</script> |
| 57行目: |
62行目: |
| if(MathJax.version) { | | if(MathJax.version) { |
| // MathJax のバージョンを取得して表示 | | // MathJax のバージョンを取得して表示 |
| document.getElementById("version").textContent = "MathJax &@@& version: " + MathJax.version; | | document.getElementById("version").textContent = "MathJax version: " + MathJax.version; |
| } | | } |
| } else { | | } else { |
| 69行目: |
74行目: |
| | | |
|
| |
|
| === 数 === | | １．二次方程式の解の公式 |
| | <syntaxhighlight lang="tex"> |
| | $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ |
| | </syntaxhighlight> |
|
| |
|
| *分数
| | <yjavascript></script> |
| <freescript></script> | | $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | <script></yjavascript> |
| <code class="tex">\frac{1}{2}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \frac{1}{2} $$
| |
| </div> | |
|
| |
|
| | ２．積分の例 |
| | <syntaxhighlight lang="tex"> |
| | $$\int_{0}^{1} x^2 \, dx = \frac{1}{3}$$ |
| | </syntaxhighlight> |
|
| |
|
| *分数（大）
| | $$\int_{0}^{1} x^2 \, dx = \frac{1}{3}$$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\displaystyle \frac{1}{2}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \displaystyle \frac{1}{2} $$
| |
| </div>
| |
|
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|
|
| |
|
| *分数（大）2
| | ３．行列の掛け算 |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}, A \times B = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}$$ |
| <code class="tex">\dfrac{1}{2}
| | </syntaxhighlight> |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \dfrac{1}{2} $$
| |
| </div> | |
|
| |
|
| | $$A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}, A \times B = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}$$ |
|
| |
|
| *分数（1行）
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\require{physics} \flatfrac{1}{2}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \require{physics} \flatfrac{1}{2} $$
| |
| </div>
| |
|
| |
|
| | ４．複素数の計算 |
| | <syntaxhighlight lang="tex"> |
| | $$z = 3 + 4i, |z| = \sqrt{3^2 + 4^2} = 5$$ |
| | </syntaxhighlight> |
|
| |
|
| *分数と括弧
| | $$z = 3 + 4i, |z| = \sqrt{3^2 + 4^2} = 5$$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\left( -\frac{1}{2} \right)^2
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \left( -\frac{1}{2} \right)^2 $$
| |
| </div>
| |
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|
|
| |
|
| *分数と括弧2
| | ５．ピタゴラスの定理 |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$a^2 + b^2 = c^2$$ |
| <code class="tex">\require{physics} \qty{ -\frac{1}{2} }^2
| | </syntaxhighlight> |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \require{physics} \qty{ -\frac{1}{2} }^2 $$
| |
| </div> | |
|
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|
| | $$a^2 + b^2 = c^2$$ |
|
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|
| *連分数
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\frac{a+b}{c+\frac{d}{e}}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \frac{a+b}{c+\frac{d}{e}} $$
| |
| </div>
| |
|
| |
|
| | ６．シュレディンガー方程式 |
| | <syntaxhighlight lang="tex"> |
| | $$i \hbar \frac{\partial}{\partial t} \psi = \hat{H} \psi$$ |
| | </syntaxhighlight> |
|
| |
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| *連分数2
| | $$i \hbar \frac{\partial}{\partial t} \psi = \hat{H} \psi$$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\cfrac{a+b}{c+\cfrac{d}{e}}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \cfrac{a+b}{c+\cfrac{d}{e}} $$
| |
| </div>
| |
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|
|
| |
|
| *無限連分数
| | ７．ベクトルの内積 |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta$$ |
| <code class="tex">\begin{eqnarray}
| | </syntaxhighlight> |
| 1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots}}}
| |
| = \frac{1}{2} \left( 1+\sqrt{5} \right)
| |
| \end{eqnarray}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \begin{eqnarray} | |
| 1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots}}}
| |
| = \frac{1}{2} \left( 1+\sqrt{5} \right) | |
| \end{eqnarray} $$ | |
| </div> | |
|
| |
|
| | $$\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta$$ |
|
| |
|
| *小数
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">0.123
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ 0.123 $$
| |
| </div>
| |
|
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|
| | ８．ローレンツ変換 |
| | <syntaxhighlight lang="tex"> |
| | $$ x^{\prime} = \gamma (x - vt), \phantom{0} t^{\prime} = \gamma ( t - \frac{vx}{c^2} ) $$ |
| | </syntaxhighlight> |
|
| |
|
| *循環小数
| | $$ x^{\prime} = \gamma (x - vt), \phantom{0} t^{\prime} = \gamma ( t - \frac{vx}{c^2} ) $$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\frac{1}{11} = 0.\dot{0}\dot{9}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \frac{1}{11} = 0.\dot{0}\dot{9} $$
| |
| </div>
| |
|
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|
|
| |
|
| *無限小数1
| | ９．二項定理 |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k $$ |
| <code class="tex">\pi = 3.14 \ldots
| | </syntaxhighlight> |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \pi = 3.14 \ldots $$ | |
| </div> | |
|
| |
|
| | $$ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k $$ |
|
| |
|
| *無限小数2
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\sqrt{2} = 1.4142 \cdots
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \sqrt{2} = 1.4142 \cdots $$
| |
| </div>
| |
|
| |
|
| | １０．解析関数のコーシー・リーマン方程式 |
| | <syntaxhighlight lang="tex"> |
| | $$\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$$ |
| | </syntaxhighlight> |
|
| |
|
| *無限大
| | $$\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\infty
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \infty $$
| |
| </div>
| |
|
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|
|
| |
|
| *絶対値
| | １１．正弦関数の定義 |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$\sin(\theta) = \frac{\text{対辺}}{\text{斜辺}}$$ |
| <code class="tex">|x|
| | </syntaxhighlight> |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ |x| $$ | |
| </div> | |
|
| |
|
| | $$\sin(\theta) = \frac{\text{対辺}}{\text{斜辺}}$$ |
|
| |
|
| *絶対値2
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\vert x \vert
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \vert x \vert $$
| |
| </div>
| |
|
| |
|
| | １２．余弦定理 |
| | <syntaxhighlight lang="tex"> |
| | $$c^2 = a^2 + b^2 - 2ab \cos(C)$$ |
| | </syntaxhighlight> |
|
| |
|
| *分数と絶対値
| | $$c^2 = a^2 + b^2 - 2ab \cos(C)$$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\left| \dfrac{x}{2} \right|
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \left| \dfrac{x}{2} \right| $$
| |
| </div>
| |
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|
|
| |
|
| *分数と絶対値2
| | １３．三重角の公式（正弦） |
| <freescript></script> | | <syntaxhighlight lang="tex"> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| | $$\sin(3\theta) = 3\sin(\theta) - 4\sin^3(\theta)$$ |
| <code class="tex">\require{physics} \qty{\dfrac{x}{2}}
| | </syntaxhighlight> |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \require{physics} \qty{\dfrac{x}{2}} $$
| |
| </div> | |
|
| |
|
| | $$\sin(3\theta) = 3\sin(\theta) - 4\sin^3(\theta)$$ |
|
| |
|
| *分数と絶対値3
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\require{physics} \abs{ \dfrac{x}{2} }
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \require{physics} \abs{ \dfrac{x}{2} } $$
| |
| </div>
| |
|
| |
|
| | === 線 === |
| | *分数 |
|
| |
|
| *ガウス記号
| | $$ \frac{x}{y} $$ |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">[x]
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ [x] $$
| |
| </div>
| |
| | |
| | |
| *ガウス記号2
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\lbrack x \rbrack
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \lbrack x \rbrack $$
| |
| </div>
| |
| | |
| | |
| *床関数
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\lfloor x \rfloor
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \lfloor x \rfloor $$ | |
| </div>
| |
| | |
| | |
| *天井関数
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\lceil x \rceil
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \lceil x \rceil $$
| |
| </div>
| |
| | |
|
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|
| *ガウス記号サンプル | | *下線 |
| <freescript></script>
| | <div width="100%" align="center><span class="mrow" id="MathJax-Span-2"><span class="munderover" id="MathJax-Span-3"><span style="display: inline-block; position: relative; width: 6.087em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1006.09em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mtext" id="MathJax-Span-4"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;"> </span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;"> </span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">o</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">n</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;"> </span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">g</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">o</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: -1.918em;left: 0em;"><span class="mo" id="MathJax-Span-5"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", 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></div> |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |
| <code class="tex">\begin{eqnarray} | |
| [x]
| |
| = \lfloor x \rfloor | |
| = \max\{ n\in\mathbb{Z} \mid n \leqq x \}
| |
| \end{eqnarray}
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \begin{eqnarray}
| |
| [x]
| |
| = \lfloor x \rfloor
| |
| = \max\{ n\in\mathbb{Z} \mid n \leqq x \}
| |
| \end{eqnarray} $$
| |
| </div> | |
| | |
|
| |
| | |
| === 四則演算 ===
| |
| | |
| *足す
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">1 + 2 | |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ 1 + 2 $$
| |
| </div> | |
| | |
| | |
| *引く
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">3 - 1
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ 3 - 1 $$
| |
| </div>
| |
| | |
| | |
| *掛ける
| |
| <freescript></script>
| |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |
| <code class="tex">2 \times 3
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |
| $$ 2 \times 3 $$
| |
| </div> | |
| | |
| | |
| *割る
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\require{physics} 6 \ \divisionsymbol \ 3
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \require{physics} 6 \ \divisionsymbol \ 3 $$
| |
| </div> | |
| | |
| | |
| *プラスマイナス
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\pm 1
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |
| $$ \pm 1 $$
| |
| </div> | |
| | |
| | |
| *マイナスプラス
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">\mp 1
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ \mp 1 $$
| |
| </div> | |
| | |
| | |
| *掛ける（簡略）
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">a \cdot b = ab
| |
| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
| |
| $$ a \cdot b = ab $$
| |
| </div> | |
| | |
| | |
| *割る（分数）
| |
| <freescript></script> | |
| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
| |
| <code class="tex">a \ \divisionsymbol \ b = \frac{a}{b}
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| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
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| $$ a \ \divisionsymbol \ b = \frac{a}{b} $$
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| </div> | |
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| | |
| *掛け算の筆算
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| <freescript></script>
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| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |
| <code class="tex">\begin{array}{r} | |
| 67 \\
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| \frac{\times\phantom{0}63}{\phantom{\times}201}
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| \underline{\phantom{0}402\phantom{0}} \\
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| 4221
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| \end{array}
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| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
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| $$ \begin{align}
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| 67 \\
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| \frac{\times\phantom{0}63}{\phantom{0}201} \\
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| \frac{402\phantom{0}}{4221}
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| \end{align} $$
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| </div> | |
| | |
| | |
| *割り算の筆算
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| <freescript></script>
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| <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
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| <code class="tex">\require{enclose}\begin{array}{r}
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| 7.6 \\[-3pt]
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| 25\enclose{longdiv}{190\phantom{0}} \\[-3pt]
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| \underline{175\phantom{.0}} \\[-3pt]
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| 15\phantom{.}0 \\[-3pt]
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| \underline{15\phantom{.}0} \\[-3pt]
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| \phantom{000}0
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| \end{array}
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| </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |
| $$ \require{enclose}\begin{array}{r}
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| 7.6 \\[-3pt]
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| 25\enclose{longdiv}{190\phantom{0}} \\[-3pt]
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| \underline{175\phantom{.0}} \\[-3pt]
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| 15\phantom{.}0 \\[-3pt]
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| \underline{15\phantom{.}0} \\[-3pt]
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| \phantom{000}0
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| \end{array} $$
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| </div> | |
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。
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Version2.0系に関する記事です。現在の2.0系最新バージョンは
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１．二次方程式の解の公式
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
２．積分の例
$$\int_{0}^{1} x^2 \, dx = \frac{1}{3}$$
$$\int_{0}^{1} x^2 \, dx = \frac{1}{3}$$
３．行列の掛け算
$$A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}, A \times B = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}$$
$$A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}, A \times B = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}$$
４．複素数の計算
$$z = 3 + 4i, |z| = \sqrt{3^2 + 4^2} = 5$$
$$z = 3 + 4i, |z| = \sqrt{3^2 + 4^2} = 5$$
５．ピタゴラスの定理
$$a^2 + b^2 = c^2$$
６．シュレディンガー方程式
$$i \hbar \frac{\partial}{\partial t} \psi = \hat{H} \psi$$
$$i \hbar \frac{\partial}{\partial t} \psi = \hat{H} \psi$$
７．ベクトルの内積
$$\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta$$
$$\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta$$
８．ローレンツ変換
$$ x^{\prime} = \gamma (x - vt), \phantom{0} t^{\prime} = \gamma ( t - \frac{vx}{c^2} ) $$
$$ x^{\prime} = \gamma (x - vt), \phantom{0} t^{\prime} = \gamma ( t - \frac{vx}{c^2} ) $$
９．二項定理
$$ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k $$
$$ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k $$
１０．解析関数のコーシー・リーマン方程式
$$\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$$
$$\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$$
１１．正弦関数の定義
$$\sin(\theta) = \frac{\text{対辺}}{\text{斜辺}}$$
$$\sin(\theta) = \frac{\text{対辺}}{\text{斜辺}}$$
１２．余弦定理
$$c^2 = a^2 + b^2 - 2ab \cos(C)$$
$$c^2 = a^2 + b^2 - 2ab \cos(C)$$
１３．三重角の公式（正弦）
$$\sin(3\theta) = 3\sin(\theta) - 4\sin^3(\theta)$$
$$\sin(3\theta) = 3\sin(\theta) - 4\sin^3(\theta)$$
線
$$ \frac{x}{y} $$
a long long ago_________________
