「Mathjax2.x コード一覧」の版間の差分
編集の要約なし |
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40行目: | 40行目: | ||
* | *分数(大) | ||
<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">\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;"> | ||
$$ \displaystyle \frac{1}{2} $$ | |||
</div> | |||
*分数(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dfrac{1}{2} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*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;"> | |||
</div> | |||
*分数と括弧 | |||
<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;"> | |||
</div> | |||
*分数と括弧2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \qty( -\frac{1}{2} )^2 | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*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;"> | |||
</div> | |||
*連分数2 | |||
<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;"> | |||
</div> | |||
*無限連分数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
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> | |||
*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;"> | |||
</div> | |||
*循環小数 | |||
<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;"> | |||
</div> | |||
*無限小数1 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\pi = 3.14 \ldots | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*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;"> | |||
</div> | |||
*無限大 | |||
<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;"> | |||
</div> | |||
*絶対値 | |||
<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;"> | |||
</div> | |||
*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;"> | |||
</div> | |||
*分数と絶対値 | |||
<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;"> | |||
</div> | |||
*分数と絶対値2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \qty|\dfrac{x}{2}| | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*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;"> | |||
</div> | |||
*ガウス記号 | |||
<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;"> | |||
</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;"> | |||
</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;"> | |||
</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;"> | |||
</div> | |||
*ガウス記号サンプル | |||
<freescript></script> | |||
<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> | </div> | ||
52行目: | 264行目: | ||
=== 四則演算 === | === 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;"> | |||
</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;"> | |||
</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;"> | |||
</div> | |||
*割る | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">6 \div 3 | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</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;"> | |||
</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;"> | |||
</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;"> | |||
</div> | |||
*割る(分数) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \div b = \frac{a}{b} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*掛け算の筆算 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{array}{r} | |||
67 \\[-3pt] | |||
\underline{\times\phantom{0}63}\\[-3pt] | |||
201 \\[-3pt] | |||
\underline{\phantom{0}402\phantom{0}} \\[-3pt] | |||
4221 | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{r} | |||
67 \\[-3pt] | |||
\underline{\times\phantom{0}63}\\[-3pt] | |||
201 \\[-3pt] | |||
\underline{\phantom{0}402\phantom{0}} \\[-3pt] | |||
4221 | |||
\end{array} $$ | |||
</div> | |||
*割り算の筆算 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{array}{r} | |||
7.6 \\[-3pt] | |||
25\enclose{longdiv}{190\phantom{0}} \\[-3pt] | |||
\underline{175\phantom{.0}} \\[-3pt] | |||
15\phantom{.}0 \\[-3pt] | |||
\underline{15\phantom{.}0} \\[-3pt] | |||
\phantom{000}0 | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{r} | |||
7.6 \\[-3pt] | |||
25\enclose{longdiv}{190\phantom{0}} \\[-3pt] | |||
\underline{175\phantom{.0}} \\[-3pt] | |||
15\phantom{.}0 \\[-3pt] | |||
\underline{15\phantom{.}0} \\[-3pt] | |||
\phantom{000}0 | |||
\end{array} $$ | |||
</div> | |||
*合同式 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \equiv b \mod n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*合同式(括弧付) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \equiv b \pmod n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*合同式(二項演算子) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\gcd(a, b) = \gcd(b, a \bmod b) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*比例 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">x \propto y | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 大小 === | |||
*大なり | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \gt b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大なりイコール | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \geq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大なりイコール2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \geqq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*小なり | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \lt b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*小なりイコール | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \leq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*小なりイコール2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \leqq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*等しい | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a = b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*等しくない | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \neq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ほぼ等しい | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \fallingdotseq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ほぼ等しい2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \sim b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ほぼ等しい3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \simeq b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ほぼ等しい4 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \approx b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*十分大きい | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \gg b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*十分小さい | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a \ll b | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*最大 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\max f(x) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*最小 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\min f(x) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*最大サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\max ( a, b ) | |||
= | |||
\begin{cases} | |||
a & ( a \geqq b ) \\ | |||
b & ( a \lt b ) | |||
\end{cases} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\max ( a, b ) | |||
= | |||
\begin{cases} | |||
a & ( a \geqq b ) \\ | |||
b & ( a \lt b ) | |||
\end{cases} | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 複数行数式 === | |||
*改行 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
aaa \\ | |||
bbb | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
aaa \\ | |||
bbb | |||
\end{eqnarray} $$ | |||
</div> | |||
*改行(サイズ指定) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
aaa \\[5pt] | |||
bbb | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
aaa \\[5pt] | |||
bbb | |||
\end{eqnarray} $$ | |||
</div> | |||
*位置合わせ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
x + 2x &=& 3 \\ | |||
x &=& 1 | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
x + 2x &=& 3 \\ | |||
x &=& 1 | |||
\end{eqnarray} $$ | |||
</div> | |||
*連立方程式 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\left\{ | |||
\begin{array}{l} | |||
x + y = 10 \\ | |||
2x + 4y = 32 | |||
\end{array} | |||
\right. | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\left\{ | |||
\begin{array}{l} | |||
x + y = 10 \\ | |||
2x + 4y = 32 | |||
\end{array} | |||
\right. | |||
\end{eqnarray} $$ | |||
</div> | |||
*場合分け | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
|x| | |||
= | |||
\begin{cases} | |||
x & ( x \geqq 0 ) \\ | |||
-x & ( x \lt 0 ) | |||
\end{cases} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
|x| | |||
= | |||
\begin{cases} | |||
x & ( x \geqq 0 ) \\ | |||
-x & ( x \lt 0 ) | |||
\end{cases} | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 集合 === | |||
*帰属関係 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">x \in A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*帰属関係2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \ni x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*帰属していない | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">x \notin A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*部分集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \subset B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*部分集合2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \subseteq B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*部分集合3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \subseteqq B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上位集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \supset B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上位集合2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \supseteq B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上位集合3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \supseteqq B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*部分集合でない | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \not \subset B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*真の部分集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \subsetneqq B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*集合の交わり | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \cap B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*集合の結び | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \cup B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*空集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varnothing | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*空集合2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\emptyset | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*補集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A^c | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*補集合2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overline{ A } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*補集合サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<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;"> | |||
</div> | |||
*補集合サンプル2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\left( \bigcup_{\lambda\in\Lambda}A_{\lambda} \right)^c | |||
=\bigcap_{\lambda\in\Lambda}A_{\lambda}^c | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\left( \bigcup_{\lambda\in\Lambda}A_{\lambda} \right)^c | |||
=\bigcap_{\lambda\in\Lambda}A_{\lambda}^c | |||
\end{eqnarray} $$ | |||
</div> | |||
*差集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \setminus B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*差集合サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \setminus B | |||
= A \cap B^c | |||
= \{ x \in A \mid x \notin B \} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ A \setminus B | |||
= A \cap B^c | |||
= \{ x \in A \mid x \notin B \} $$ | |||
</div> | |||
*対称差 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \triangle B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*対称差サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A \triangle B | |||
= (A \setminus B) \cup (B \setminus A) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ A \triangle B | |||
= (A \setminus B) \cup (B \setminus A) $$ | |||
</div> | |||
*自然数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ N } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*整数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ Z } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*有理数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ Q } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*実数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ R } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複素数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ C } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四元数全体の集合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ H } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上限 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sup A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下限 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\inf A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アレフ数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\aleph | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 論理 === | |||
*含意 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \implies Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*含意2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \Rightarrow Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*含意3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \to Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*含意(逆向き) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \Leftarrow Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*含意(逆向き)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \gets Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*同値 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \iff Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*同値2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \Leftrightarrow Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*同値3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \leftrightarrow Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*同値4 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \equiv Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*よって | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\therefore | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*なぜならば | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\because | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*すべての | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\forall x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*在る | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\exists x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*存在しない | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\nexists | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*量化記号サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
& & {}^\forall \varepsilon \gt 0, {}^\exists \delta \gt 0 \mbox{ s.t. } \\ | |||
& & {}^\forall x \in \mathbb{ R }, 0 \lt |x - a| \lt \delta | |||
\implies |f(x) - b| \lt \varepsilon | |||
\end{eqnarray} $$ | |||
</div> | |||
*論理積 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \land Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*論理和 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \lor Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*否定 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lnot P | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*否定2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overline{ P } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*否定3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">!P | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*排他的論理和 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \oplus Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*排他的論理和2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \veebar Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*排他的論理和サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<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;"> | |||
</div> | |||
*トートロジー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\top | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*矛盾 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bot | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*証明可能 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \vdash Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*論理的帰結 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P \models Q | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 順列と組合せ === | |||
*順列 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}_n \mathrm{ P }_k | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*組合せ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}_n \mathrm{ C }_k | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*階乗 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">n! | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*二項係数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\binom{ n }{ k } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*二項係数2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{ n \choose k } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*二項係数3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dbinom{ n }{ k } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*重複組合せ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}_n \mathrm{ H }_k | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*組合せサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
{}_n \mathrm{ C }_k | |||
= \binom{ n }{ k } | |||
= \frac{ n! }{ k! ( n - k )! } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
{}_n \mathrm{ C }_k | |||
= \binom{ n }{ k } | |||
= \frac{ n! }{ k! ( n - k )! } | |||
\end{eqnarray} $$ | |||
</div> | |||
*順列サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
{}_n \mathrm{ P }_k | |||
= n \cdot ( n - 1 ) \cdots ( n - k + 1 ) | |||
= \frac{ n! }{ ( n - k )! } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
{}_n \mathrm{ P }_k | |||
= n \cdot ( n - 1 ) \cdots ( n - k + 1 ) | |||
= \frac{ n! }{ ( n - k )! } | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 総和・総乗 === | |||
*総和 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sum_{i=1}^{n} a_i | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*総和(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\displaystyle \sum_{i=1}^n a_i | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*総和サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\sum_{ k = 1 }^{ n } k^2 | |||
= \overbrace{ 1^2 + 2^2 + \cdots + n^2 }^{ n } | |||
= \frac{ 1 }{ 6 } n ( n + 1 ) ( 2n + 1 ) | |||
\end{eqnarray} $$ | |||
</div> | |||
*総乗 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\prod_{ i = 0 }^n x_i | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*総乗(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\displaystyle \prod_{i=0}^n x_i | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*総乗サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
n! = \prod_{ k = 1 }^n k | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
n! = \prod_{ k = 1 }^n k | |||
\end{eqnarray} $$ | |||
</div> | |||
*総乗サンプル2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\zeta (s) | |||
= \prod_{ p:\mathrm{ prime } } | |||
\frac{ 1 }{ 1-p^{-s} } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\zeta (s) | |||
= \prod_{ p:\mathrm{ prime } } | |||
\frac{ 1 }{ 1-p^{-s} } | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 指数・対数 === | |||
*べき乗 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">2^3 | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*べき乗2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">e^{ i \pi } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*指数関数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\exp ( x ) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*平方根 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sqrt{ 2 } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*平方根(高さを揃える) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sqrt{ \mathstrut a } + \sqrt{ \mathstrut b } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*べき根 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sqrt[ n ]{ x } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*対数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\log x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*対数(底) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\log_{ 2 } x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*自然対数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ln x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 図形 === | |||
*角度(度数) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">90^{ \circ } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*角度(ラジアン) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ \pi }{ 2 } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*角記号 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\angle A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*平行(日本スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">AB /\!/ CD | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*平行(海外スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">AB \parallel CD | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*垂直 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">AB \perp CD | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle ABC | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Box ABCD | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\stackrel{\huge\frown}{AB} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overparen{AB} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*合同(日本スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle ABC \equiv \triangle DEF | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*合同(海外スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle ABC \cong \triangle DEF | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*相似(日本スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle ABC \backsim \triangle DEF | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*相似(海外スタイル) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle ABC \sim \triangle DEF | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 三角関数 === | |||
*サイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sin x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*コサイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cos x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*タンジェント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\tan x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*サインサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\sin 45^\circ | |||
= \frac{ \sqrt{2} }{ 2 } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\sin 45^\circ | |||
= \frac{ \sqrt{2} }{ 2 } | |||
\end{eqnarray} $$ | |||
</div> | |||
*コサインサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\cos \frac{ \pi }{ 3 } | |||
= \frac{ 1 }{ 2 } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\cos \frac{ \pi }{ 3 } | |||
= \frac{ 1 }{ 2 } | |||
\end{eqnarray} $$ | |||
</div> | |||
*タンジェントサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\tan \theta | |||
= \frac{ \sin \theta }{ \cos \theta } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\tan \theta | |||
= \frac{ \sin \theta }{ \cos \theta } | |||
\end{eqnarray} $$ | |||
</div> | |||
*セカント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sec x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*コセカント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\csc x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*コタンジェント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cot x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アークサイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\arcsin x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アークコサイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\arccos x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アークタンジェント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\arctan x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ハイパボリックサイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sinh x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ハイパボリックコサイン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cosh x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ハイパボリックタンジェント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\tanh x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ハイパボリックコタンジェント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\coth x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 複素数 === | |||
*複素数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a+bi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*実部 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Re x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*実部2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \Re x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*虚部 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Im x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*虚部2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \Im x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*共役複素数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bar{z} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*偏角 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\arg (z) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*1の3乗根 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\omega | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複素数サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
z\bar{z} = |z|^2 | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
z\bar{z} = |z|^2 | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 極限 === | |||
*極限 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lim_{ x \to +0 } \frac{1}{x} = \infty | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*極限(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<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;"> | |||
</div> | |||
*上極限 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\limsup_{ n \to \infty } a_n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上極限(簡略) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varlimsup_{ n \to \infty } a_n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下極限 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\liminf_{ n \to \infty } a_n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下極限(簡略) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varliminf_{ n \to \infty } a_n | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上極限サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\varlimsup_{ n \to \infty } a_n | |||
= \lim_{ n \to \infty } \sup_{ k \geqq n } a_k | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\varlimsup_{ n \to \infty } a_n | |||
= \lim_{ n \to \infty } \sup_{ k \geqq n } a_k | |||
\end{eqnarray} $$ | |||
</div> | |||
*下極限サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\varliminf_{ n \to \infty } A_n | |||
= \bigcup_{ n = 1 }^{ \infty } \bigcap_{ k = n }^{ \infty } A_k | |||
= \bigcup_{ n \in \mathbb{ N } } \bigcap_{ k \geqq n } A_k | |||
\end{eqnarray} $$ | |||
</div> | |||
*ランダウの記号 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathcal{O} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 微分 === | |||
*微分(ライプニッツ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ dy }{ dx } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(ライプニッツ)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ \mathrm{ d } y }{ \mathrm{ d } x } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(ライプニッツ)3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \dv{y}{x} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*n階微分(ライプニッツ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ d^n y }{ dx^n } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*n階微分(ライプニッツ)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \dv[n]{f}{x} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ある点での微分(ライプニッツ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\left. \frac{dy}{dx} \right|_{x=a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ある点での微分(ライプニッツ)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \eval{\dv{y}{x}}_{x=a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(ラグランジュ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">f' | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2階微分(ラグランジュ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">f^{\prime\prime} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*n階微分(ラグランジュ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">f^{ ( n ) } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(オイラー) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">Df | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(オイラー)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">D_x f | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*n階微分(オイラー) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">D^n f | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分(ニュートン) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dot{y} = \frac{dy}{dt} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*4階微分(ニュートン) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ddddot{ y } = \frac{ d^4 y }{ dt^4 } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*微分サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
f'(x) | |||
= \frac{ df }{ dx } | |||
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
f'(x) | |||
= \frac{ df }{ dx } | |||
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x } | |||
\end{eqnarray} $$ | |||
</div> | |||
*偏微分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ \partial f }{ \partial x } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2階偏微分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<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;"> | |||
</div> | |||
*n階偏微分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\frac{ \partial^n f}{ \partial x^n } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*偏微分2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \pdv{f}{x} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2階偏微分2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \pdv{f}{x}{y} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*n階偏微分2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \pdv[n]{f}{x} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*偏微分(簡略) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">f_x | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2階偏微分(簡略) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">f_{ xy } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ナブラ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\nabla f | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ラプラシアン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Delta f | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ラプラシアン サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\Delta \varphi | |||
= \nabla^2 \varphi | |||
= \frac{ \partial^2 \varphi }{ \partial x^2 } | |||
+ \frac{ \partial^2 \varphi }{ \partial y^2 } | |||
+ \frac{ \partial^2 \varphi }{ \partial z^2 } | |||
\end{eqnarray} $$ | |||
</div> | |||
*増減表 | |||
<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 | |||
f’(x) & + & 0 & – & 0 & + \\ | |||
\hline | |||
f(x) & \nearrow & e & \searrow & -e & \nearrow | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{c|ccccc} | |||
x & \cdots & -1 & \cdots & 1 & \cdots \\ | |||
\hline | |||
f’(x) & + & 0 & – & 0 & + \\ | |||
\hline | |||
f(x) & \nearrow & e & \searrow & -e & \nearrow | |||
\end{array} $$ | |||
</div> | |||
=== 積分 === | |||
*積分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\int_0^1 f(x) dx | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*積分(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\displaystyle \int_{-\infty}^{ \infty } f(x) dx | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*積分サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\int_0^1 x dx | |||
= \left[ \frac{x^2}{2} \right]_0^1 | |||
= \frac{1}{2} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\int_0^1 x dx | |||
= \left[ \frac{x^2}{2} \right]_0^1 | |||
= \frac{1}{2} | |||
\end{eqnarray} $$ | |||
</div> | |||
*2重積分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\iint_D f(x,y) dxdy | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*多重積分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<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;"> | |||
</div> | |||
*周回積分 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\oint_C f(z) dz | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== ベクトル === | |||
*ベクトル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vec{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ベクトル2文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overrightarrow{ AB } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ベクトル太文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boldsymbol{ A } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*横ベクトル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">( a_1, a_2, \ldots, a_n ) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*縦ベクトル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\left( | |||
\begin{array}{c} | |||
a_1 \\ | |||
a_2 \\ | |||
\vdots \\ | |||
a_n | |||
\end{array} | |||
\right) | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \left( | |||
\begin{array}{c} | |||
a_1 \\ | |||
a_2 \\ | |||
\vdots \\ | |||
a_n | |||
\end{array} | |||
\right) $$ | |||
</div> | |||
*ベクトルサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\boldsymbol{ 1 } | |||
=( \underbrace{ 1, 1, \ldots, 1 }_{ n } )^{ \mathrm{ T } } | |||
=\left( | |||
\begin{array}{c} | |||
1 \\ | |||
1 \\ | |||
\vdots \\ | |||
1 | |||
\end{array} | |||
\right) | |||
\end{eqnarray} $$ | |||
</div> | |||
*単位ベクトルサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boldsymbol{ \rm{ e } }_k | |||
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \boldsymbol{ \rm{ e } }_k | |||
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}} $$ | |||
</div> | |||
*ノルム | |||
<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;"> | |||
</div> | |||
*ノルム2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\require{physics} \norm{ \dfrac{1}{2} } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*内積 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vec{ a } \cdot \vec{ b } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*外積 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vec{ a } \times \vec{ b } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 行列 === | |||
*行列(丸かっこ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{pmatrix} | |||
a & b \\ | |||
c & d | |||
\end{pmatrix} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{pmatrix} | |||
a & b \\ | |||
c & d | |||
\end{pmatrix} $$ | |||
</div> | |||
*行列(角かっこ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{bmatrix} | |||
a & b \\ | |||
c & d | |||
\end{bmatrix} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{bmatrix} | |||
a & b \\ | |||
c & d | |||
\end{bmatrix} $$ | |||
</div> | |||
*行列(縦線) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{vmatrix} | |||
a & b \\ | |||
c & d | |||
\end{vmatrix} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{vmatrix} | |||
a & b \\ | |||
c & d | |||
\end{vmatrix} $$ | |||
</div> | |||
*転置行列 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A^{ \mathrm{ T } } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*転置行列2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}^t \! A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*次元 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dim | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*行列の階数 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathrm{ rank } A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*対角和 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathrm{ Tr } A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*行列式 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathrm{ det }A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*行列式サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\mathrm{ det }A | |||
= | A | | |||
= | |||
= ad - bc | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\mathrm{ det }A | |||
= | A | | |||
= | |||
= ad - bc | |||
\end{eqnarray} $$ | |||
</div> | |||
*行列(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{pmatrix} | |||
a & b & c \\ | |||
d & e & f \\ | |||
g & h & I | |||
\end{pmatrix} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{pmatrix} | |||
a & b & c \\ | |||
d & e & f \\ | |||
g & h & I | |||
\end{pmatrix} $$ | |||
</div> | |||
*行列(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\left( | |||
\begin{array}{ccc} | |||
a & b & c \\ | |||
d & e & f \\ | |||
g & h & i | |||
\end{array} | |||
\right) | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\left( | |||
\begin{array}{ccc} | |||
a & b & c \\ | |||
d & e & f \\ | |||
g & h & i | |||
\end{array} | |||
\right) | |||
\end{eqnarray} $$ | |||
</div> | |||
*行列(右寄せ) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\left( | |||
\begin{array}{rrr} | |||
111 & 111 & 111 \\ | |||
22 & 0.2 & -2 \\ | |||
3 & 3 & 3 | |||
\end{array} | |||
\right) | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\left( | |||
\begin{array}{rrr} | |||
111 & 111 & 111 \\ | |||
22 & 0.2 & -2 \\ | |||
3 & 3 & 3 | |||
\end{array} | |||
\right) | |||
\end{eqnarray} $$ | |||
</div> | |||
*行列(m行n列) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
A = \left( | |||
\begin{array}{cccc} | |||
a_{ 11 } & a_{ 12 } & \ldots & a_{ 1n } \\ | |||
a_{ 21 } & a_{ 22 } & \ldots & a_{ 2n } \\ | |||
\vdots & \vdots & \ddots & \vdots \\ | |||
a_{ m1 } & a_{ m2 } & \ldots & a_{ mn } | |||
\end{array} | |||
\right) | |||
\end{eqnarray} $$ | |||
</div> | |||
*ブロック行列 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\left( | |||
\begin{array}{cc|cc} | |||
a & b & 0 & 0 \\ | |||
c & d & 0 & 0 \\ | |||
\hline | |||
x & y & 1 & 0 \\ | |||
z & w & 0 & 1 \\ | |||
\end{array} | |||
\right) | |||
\end{eqnarray} $$ | |||
</div> | |||
*ジョルダン細胞 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\begin{pmatrix} | |||
\lambda & 1 & & & 0 \\ | |||
& \lambda & 1 & & \\ | |||
& & \ddots & \ddots & \\ | |||
& & & \lambda & 1 \\ | |||
0 & & & & \lambda | |||
\end{pmatrix} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\begin{pmatrix} | |||
\lambda & 1 & & & 0 \\ | |||
& \lambda & 1 & & \\ | |||
& & \ddots & \ddots & \\ | |||
& & & \lambda & 1 \\ | |||
0 & & & & \lambda | |||
\end{pmatrix} | |||
\end{eqnarray} $$ | |||
</div> | |||
*余因子 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\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} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
& & (-1)^{ i+j } \times \\[5pt] | |||
& & \quad | |||
\begin{vmatrix} | |||
a_{1,1} & \ldots & a_{1,j-1} & a_{1,j+1} & \ldots & a_{1,n} \\ | |||
\vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\ | |||
a_{i-1,1} & \ldots & a_{i-1, j-1} & a_{i-1, j+1} & \ldots & a_{i-1, n} \\ | |||
a_{i+1,1} & \ldots & a_{i+1, j-1} & a_{i+1, j+1} & \ldots & a_{i+1, n} \\ | |||
\vdots & \ddots & \vdots & \vdots & \ddots & \vdots \\ | |||
a_{n,1} & \ldots & a_{n, j-1} & a_{n, j+1} & \ldots & a_{n, n} | |||
\end{vmatrix} | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 表 === | |||
*表 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{array}{ccc} | |||
xxx & yyy & zzz \\ | |||
1 & 2 & 3 | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{ccc} | |||
xxx & yyy & zzz \\ | |||
1 & 2 & 3 | |||
\end{array} $$ | |||
</div> | |||
*表(縦線付) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{array}{|c|c|c|} | |||
xxx & yyy & zzz \\ | |||
1 & 2 & 3 \\ | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{|c|c|c|} | |||
xxx & yyy & zzz \\ | |||
1 & 2 & 3 \\ | |||
\end{array} $$ | |||
</div> | |||
*表(横線付) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{array}{ccc} | |||
\hline | |||
xxx & yyy & zzz \\ | |||
\hline | |||
1 & 2 & 3 \\ | |||
\hline | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{ccc} | |||
\hline | |||
xxx & yyy & zzz \\ | |||
\hline | |||
1 & 2 & 3 \\ | |||
\hline | |||
\end{array} $$ | |||
</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 | |||
f’(x) & + & 0 & – & 0 & + \\ | |||
\hline | |||
f(x) & \nearrow & e & \searrow & -e & \nearrow | |||
\end{array} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{array}{c|ccccc} | |||
x & \cdots & -1 & \cdots & 1 & \cdots \\ | |||
\hline | |||
f’(x) & + & 0 & – & 0 & + \\ | |||
\hline | |||
f(x) & \nearrow & e & \searrow & -e & \nearrow | |||
\end{array} $$ | |||
</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} | |||
A @>{f}>> B\\ | |||
@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;"> | |||
$$ \require{AMScd} | |||
\begin{CD} | |||
A @>{f}>> B\\ | |||
@V{gg}VV {\large\circlearrowleft} @VV{hh}V\\ | |||
C @>>{k}> D | |||
\end{CD} $$ | |||
</div> | |||
=== 線 === | |||
*縦線 | |||
<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;"> | |||
</div> | |||
*縦線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;"> | |||
</div> | |||
*縦線3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\{ x \mid x \in A \} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重縦線 | |||
<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;"> | |||
</div> | |||
*2重縦線2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">AB \parallel CD | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上線 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overline{ A } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上線2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bar{ A } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下線 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\underline{ A } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*スラッシュ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">/ | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*バックスラッシュ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\backslash | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*斜線(下) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\diagdown | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*斜線(上) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\diagup | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*キャンセル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cancel{a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*バックキャンセル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bcancel{a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*×印キャンセル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\xcancel{a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*キャンセルと矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cancelto{A}{a} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*キャンセルサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\frac{\cancel{2}}{\cancel{6}}=\frac{1}{3} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\frac{\cancel{2}}{\cancel{6}}=\frac{1}{3} | |||
\end{eqnarray} $$ | |||
</div> | |||
*キャンセルと矢印サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\frac{1}{\cancel{3}} \times \frac{\cancelto{2}{6}}{5} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\frac{1}{\cancel{3}} \times \frac{\cancelto{2}{6}}{5} | |||
\end{eqnarray} $$ | |||
</div> | |||
*左下の角 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\llcorner | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右下の角 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lrcorner | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左上の角 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ulcorner | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右上の角 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\urcorner | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 矢印 === | |||
*左矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\leftarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\longleftarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\rightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\longrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\uparrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\downarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左右矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\leftrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左右矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\longleftrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\updownarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重左矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Leftarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重左矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Longleftarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重右矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Rightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重右矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Longrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重上矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Uparrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Downarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重左右矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Leftrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重左右矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Longleftrightarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*2重上下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Updownarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右上矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\nearrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\searrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左上矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\nwarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左下矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\swarrow | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*棒付矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mapsto | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*棒付矢印(長い) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\longmapsto | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*頭に矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vec{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*頭に矢印2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overrightarrow{ AB } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*頭に矢印(左向き) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overleftarrow{ AB } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*時計回り矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\circlearrowright | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*反時計回り矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\circlearrowleft | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 括弧 === | |||
*丸括弧 | |||
<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;"> | |||
</div> | |||
*角括弧 | |||
<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;"> | |||
</div> | |||
*角括弧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;"> | |||
</div> | |||
*かぎ括弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lceil x \rfloor | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*かぎ括弧2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lfloor x \rceil | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*波括弧 | |||
<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;"> | |||
</div> | |||
*波括弧2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lbrace x \rbrace | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*山括弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\langle x \rangle | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きい括弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\left[ \dfrac{ 1 }{ 2 } \right] | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上括弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overbrace{ x + y + z } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上括弧と文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\overbrace{ a_1 + \cdots + a_n }^{ n } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下括弧 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\underbrace{ x + y + z } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下括弧と文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\underbrace{ a_1 + \cdots + a_n }_{ n } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 点 === | |||
*点(中央) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cdot | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複数の点(中央横向き) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\cdots | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複数の点(下側横向き) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ldots | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複数の点(中央縦向き) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vdots | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*複数の点(斜め) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ddots | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*頭に点 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dot{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*頭に2つの点 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ddot{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 丸 === | |||
*白丸 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\circ | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*黒丸 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bullet | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きい丸 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bigcirc | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸にプラス | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\oplus | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸にマイナス | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ominus | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸に掛ける | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\otimes | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸に点 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\odot | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 三角形 === | |||
*三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangle | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下向き三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangledown | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きな上向き三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bigtriangleup | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きな下向き三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bigtriangledown | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左向き三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangleleft | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左向き三角形2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lhd | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右向き三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\triangleright | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右向き三角形2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\rhd | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左向き三角形と下線 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\unlhd | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右向き三角形と下線 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\unrhd | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*黒い三角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\blacktriangle | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 四角形 === | |||
*正方形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\square | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Box | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形と十字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boxplus | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形と横線 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boxminus | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形と× | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boxtimes | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*四角形と点 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boxdot | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*黒い正方形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\blacksquare | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダイヤモンド | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\diamond | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダイヤモンド2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Diamond | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ひし形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lozenge | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*黒いひし形 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\blacklozenge | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*枠付きテキスト | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\boxed{ abc } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*枠付きテキスト2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\fbox{ abc } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*枠付きテキスト3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 二項演算 === | |||
*アスタリスク | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ast | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*スター | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\star | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*左線と掛ける | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ltimes | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*右線と掛ける | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\rtimes | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*自然結合 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Join | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 一般的な記号 === | |||
*ドル記号 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">$ | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*&記号 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\And | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*円マーク | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\yen | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*チェックマーク | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\checkmark | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダイヤモンド | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\diamondsuit | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ハート | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\heartsuit | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*クラブ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\clubsuit | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*スペード | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\spadesuit | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*フラット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\flat | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ナチュラル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\natural | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シャープ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sharp | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダガー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dagger | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダガー2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ddagger | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 空白 === | |||
*空白 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">aaa \ bbb | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*広い空白 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">aaa \quad bbb | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*広い空白2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">aaa \qquad bbb | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*空白(サイズ指定) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">aaa \hspace{ 10pt } bbb | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*空白をなくす | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">aaa \! bbb | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*改行 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
aaa \\ bbb | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
aaa \\ bbb | |||
\end{eqnarray} $$ | |||
</div> | |||
*改行(サイズ指定) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
aaa \\[5pt] bbb | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
aaa \\[5pt] bbb | |||
\end{eqnarray} $$ | |||
</div> | |||
*改行(サイズ指定)サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
& & \frac{1}{2} +\frac{1}{3} +\frac{1}{6} \\[ 5pt ] | |||
&=& \frac{3}{6} +\frac{2}{6} +\frac{1}{6} \\ | |||
&=& 1 | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
& & \frac{1}{2} +\frac{1}{3} +\frac{1}{6} \\[ 5pt ] | |||
&=& \frac{3}{6} +\frac{2}{6} +\frac{1}{6} \\ | |||
&=& 1 | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 文字サイズ === | |||
*極小サイズ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\tiny{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*小さいサイズ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\scriptsize{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*小さいサイズ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\small{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ノーマルサイズ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\normalsize{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きいサイズ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\large{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きいサイズ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Large{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*大きいサイズ3 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\LARGE{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*極大サイズ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\huge{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*極大サイズ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Huge{ abc ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== フォント === | |||
*ローマン体 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathrm{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*タイプライターフォント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathtt{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*サンセリフ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathsf{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カリグラフィーフォント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathcal{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*太文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbf{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イタリック | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathit{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*中抜き文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*スクリプトフォント | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathscr{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*フラクトゥール | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathfrak{ ABC } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ローマン体 サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*タイプライターフォント サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*サンセリフ サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カリグラフィーフォント サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*太文字 サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イタリック サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*中抜き文字 サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*スクリプトフォント サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*フラクトゥール サンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== 上付き・下付き === | |||
*上付き文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a^{ xy } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*上付き文字(左) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}^{ xy } a | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下付き文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">a_{ xy } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下付き文字(左) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">{}_{ xy } a | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*下付きサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 } | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 } | |||
\end{eqnarray} $$ | |||
</div> | |||
=== アクセント === | |||
*ハット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\hat{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*グレイブ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\grave{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アキュート | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\acute{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ドット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\dot{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダブルドット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ddot{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*バー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bar{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*矢印 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vec{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*チェック | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\check{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*チルダ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\tilde{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ブリーブ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\breve{ a } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*広いハット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\widehat{ AAA } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*広いチルダ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\widetilde{ AAA } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== アルファベット === | |||
*さかさまの A | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\forall | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*さかさまの E | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\exists | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*さかさまの F | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Finv | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*バー付きの h | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\hbar | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*点なしの i | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\imath | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*点なしの j | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\jmath | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*中抜き文字の k | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Bbbk | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*筆記体の l | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\ell | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸付きの R | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\circledR | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*丸付きの S | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\circledS | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== ギリシャ文字 === | |||
*アルファ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\alpha | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ベータ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\beta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ガンマ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\gamma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*デルタ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\delta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イプシロン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\epsilon | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イプシロン2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varepsilon | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ゼータ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\zeta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イータ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\eta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シータ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\theta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シータ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\vartheta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イオタ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\iota | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カッパ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\kappa | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ラムダ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\lambda | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ミュー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\mu | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ニュー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\nu | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*クシー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\xi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*オミクロン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">o | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*パイ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\pi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*パイ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varpi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ロー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\rho | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ロー2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varrho | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シグマ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\sigma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シグマ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varsigma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*タウ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\tau | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ユプシロン | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\upsilon | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ファイ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\phi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ファイ2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varphi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カイ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\chi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*プシー | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\psi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*オメガ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\omega | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アルファ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">A | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ベータ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">B | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ガンマ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Gamma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ガンマ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varGamma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*デルタ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Delta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*デルタ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varDelta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イプシロン(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">E | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ゼータ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">Z | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イータ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">H | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シータ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Theta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シータ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varTheta | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*イオタ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">I | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カッパ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">K | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ラムダ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Lambda | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ラムダ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varLambda | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ミュー(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">M | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ニュー(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">N | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*クシー(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Xi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*クシー(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varXi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*オミクロン(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">O | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*パイ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Pi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*パイ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varPi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ロー(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">P | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シグマ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Sigma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*シグマ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varSigma | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*タウ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">T | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ユプシロン(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Upsilon | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ユプシロン(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varUpsilon | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ファイ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Phi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ファイ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varPhi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*カイ(大) | |||
<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;"> | |||
</div> | |||
*プシー(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Psi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*プシー(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varPsi | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*オメガ(大) | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\Omega | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*オメガ(大)2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\varOmega | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== HTML === | |||
*色付きの文字 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\color{red}{a \times b} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*色付きの文字2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\color{ #ff0000 }{a \times b} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*色付きの箱 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\colorbox{red}{ Important! } | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*色付きの箱2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\colorbox{red}{$a \times b$} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*枠線と色のついた箱 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\fcolorbox{black}{ #00ff00 }{$a \times b$} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*枠線と色のついた箱 2 | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\bbox[yellow, 5pt, border: 2px dotted red]{abc} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ユニコード | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\unicode{x0041} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ユニコードサンプル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\begin{eqnarray} | |||
\unicode{x5F45}\text{は、弓へんに剪。} | |||
\end{eqnarray} | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
$$ \begin{eqnarray} | |||
\unicode{x5F45}\text{は、弓へんに剪。} | |||
\end{eqnarray} $$ | |||
</div> | |||
=== 特殊文字 === | |||
*セクション | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\S | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*アレフ | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\aleph | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ベート | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\beth | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ギメル | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\gimel | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
*ダレット | |||
<freescript></script> | |||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | |||
<code class="tex">\daleth | |||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | |||
</div> | |||
=== ロゴ === | |||
*tex | |||
<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">\ | <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 $$ | ||
</div> | </div> | ||
* | *latex | ||
<freescript></script> | <freescript></script> | ||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | ||
<code class="tex">\ | <code class="tex">\LaTeX | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
$$ \ | $$ \LaTeX $$ | ||
</div> | </div> | ||
2025年1月6日 (月) 22:10時点における版
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。
数
- 分数
\frac{1}{2}
MathJaxSample
- 分数(大)
\displaystyle \frac{1}{2}
MathJaxSample
- 分数(大)2
\dfrac{1}{2}
MathJaxSample
- 分数(1行)
\require{physics} \flatfrac{1}{2}
MathJaxSample
- 分数と括弧
\left( -\frac{1}{2} \right)^2
MathJaxSample
- 分数と括弧2
\require{physics} \qty( -\frac{1}{2} )^2
MathJaxSample
- 連分数
\frac{a+b}{c+\frac{d}{e}}
MathJaxSample
- 連分数2
\cfrac{a+b}{c+\cfrac{d}{e}}
MathJaxSample
- 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}
MathJaxSample
- 小数
0.123
MathJaxSample
- 循環小数
\frac{1}{11} = 0.\dot{0}\dot{9}
MathJaxSample
- 無限小数1
\pi = 3.14 \ldots
MathJaxSample
- 無限小数2
\sqrt{2} = 1.4142 \cdots
MathJaxSample
- 無限大
\infty
MathJaxSample
- 絶対値
|x|
MathJaxSample
- 絶対値2
\vert x \vert
MathJaxSample
- 分数と絶対値
\left| \dfrac{x}{2} \right|
MathJaxSample
- 分数と絶対値2
\require{physics} \qty|\dfrac{x}{2}|
MathJaxSample
- 分数と絶対値3
\require{physics} \abs{ \dfrac{x}{2} }
MathJaxSample
- ガウス記号
[x]
MathJaxSample
- ガウス記号2
\lbrack x \rbrack
MathJaxSample
- 床関数
\lfloor x \rfloor
MathJaxSample
- 天井関数
\lceil x \rceil
MathJaxSample
- 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}
MathJaxSample
四則演算
- 足す
1 + 2
MathJaxSample
- 引く
3 - 1
MathJaxSample
- 掛ける
2 \times 3
MathJaxSample
- 割る
6 \div 3
MathJaxSample
- プラスマイナス
\pm 1
MathJaxSample
- マイナスプラス
\mp 1
MathJaxSample
- 掛ける(簡略)
a \cdot b = ab
MathJaxSample
- 割る(分数)
a \div b = \frac{a}{b}
MathJaxSample
- 掛け算の筆算
\begin{array}{r}
67 \\[-3pt]
\underline{\times\phantom{0}63}\\[-3pt]
201 \\[-3pt]
\underline{\phantom{0}402\phantom{0}} \\[-3pt]
4221
\end{array}
MathJaxSample
- 割り算の筆算
\begin{array}{r}
7.6 \\[-3pt]
25\enclose{longdiv}{190\phantom{0}} \\[-3pt]
\underline{175\phantom{.0}} \\[-3pt]
15\phantom{.}0 \\[-3pt]
\underline{15\phantom{.}0} \\[-3pt]
\phantom{000}0
\end{array}
MathJaxSample
- 合同式
a \equiv b \mod n
MathJaxSample
- 合同式(括弧付)
a \equiv b \pmod n
MathJaxSample
- 合同式(二項演算子)
\gcd(a, b) = \gcd(b, a \bmod b)
MathJaxSample
- 比例
x \propto y
MathJaxSample
大小
- 大なり
a \gt b
MathJaxSample
- 大なりイコール
a \geq b
MathJaxSample
- 大なりイコール2
a \geqq b
MathJaxSample
- 小なり
a \lt b
MathJaxSample
- 小なりイコール
a \leq b
MathJaxSample
- 小なりイコール2
a \leqq b
MathJaxSample
- 等しい
a = b
MathJaxSample
- 等しくない
a \neq b
MathJaxSample
- ほぼ等しい
a \fallingdotseq b
MathJaxSample
- ほぼ等しい2
a \sim b
MathJaxSample
- ほぼ等しい3
a \simeq b
MathJaxSample
- ほぼ等しい4
a \approx b
MathJaxSample
- 十分大きい
a \gg b
MathJaxSample
- 十分小さい
a \ll b
MathJaxSample
- 最大
\max f(x)
MathJaxSample
- 最小
\min f(x)
MathJaxSample
- 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}
MathJaxSample
複数行数式
- 改行
\begin{eqnarray}
aaa \\
bbb
\end{eqnarray}
MathJaxSample
- 改行(サイズ指定)
\begin{eqnarray}
aaa \\[5pt]
bbb
\end{eqnarray}
MathJaxSample
- 位置合わせ
\begin{eqnarray}
x + 2x &=& 3 \\
x &=& 1
\end{eqnarray}
MathJaxSample
- 連立方程式
\begin{eqnarray}
\left\{
\begin{array}{l}
x + y = 10 \\
2x + 4y = 32
\end{array}
\right.
\end{eqnarray}
MathJaxSample
- 場合分け
\begin{eqnarray}
|x|
=
\begin{cases}
x & ( x \geqq 0 ) \\
-x & ( x \lt 0 )
\end{cases}
\end{eqnarray}
MathJaxSample
集合
- 帰属関係
x \in A
MathJaxSample
- 帰属関係2
A \ni x
MathJaxSample
- 帰属していない
x \notin A
MathJaxSample
- 部分集合
A \subset B
MathJaxSample
- 部分集合2
A \subseteq B
MathJaxSample
- 部分集合3
A \subseteqq B
MathJaxSample
- 上位集合
A \supset B
MathJaxSample
- 上位集合2
A \supseteq B
MathJaxSample
- 上位集合3
A \supseteqq B
MathJaxSample
- 部分集合でない
A \not \subset B
MathJaxSample
- 真の部分集合
A \subsetneqq B
MathJaxSample
- 集合の交わり
A \cap B
MathJaxSample
- 集合の結び
A \cup B
MathJaxSample
- 空集合
\varnothing
MathJaxSample
- 空集合2
\emptyset
MathJaxSample
- 補集合
A^c
MathJaxSample
- 補集合2
\overline{ A }
MathJaxSample
- 補集合サンプル
\overline{ (A\cap B) } = \overline{ A } \cup \overline{ B }
MathJaxSample
- 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}
MathJaxSample
- 差集合
A \setminus B
MathJaxSample
- 差集合サンプル
A \setminus B
= A \cap B^c
= \{ x \in A \mid x \notin B \}
MathJaxSample
- 対称差
A \triangle B
MathJaxSample
- 対称差サンプル
A \triangle B
= (A \setminus B) \cup (B \setminus A)
MathJaxSample
- 自然数全体の集合
\mathbb{ N }
MathJaxSample
- 整数全体の集合
\mathbb{ Z }
MathJaxSample
- 有理数全体の集合
\mathbb{ Q }
MathJaxSample
- 実数全体の集合
\mathbb{ R }
MathJaxSample
- 複素数全体の集合
\mathbb{ C }
MathJaxSample
- 四元数全体の集合
\mathbb{ H }
MathJaxSample
- 上限
\sup A
MathJaxSample
- 下限
\inf A
MathJaxSample
- アレフ数
\aleph
MathJaxSample
論理
- 含意
P \implies Q
MathJaxSample
- 含意2
P \Rightarrow Q
MathJaxSample
- 含意3
P \to Q
MathJaxSample
- 含意(逆向き)
P \Leftarrow Q
MathJaxSample
- 含意(逆向き)2
P \gets Q
MathJaxSample
- 同値
P \iff Q
MathJaxSample
- 同値2
P \Leftrightarrow Q
MathJaxSample
- 同値3
P \leftrightarrow Q
MathJaxSample
- 同値4
P \equiv Q
MathJaxSample
- よって
\therefore
MathJaxSample
- なぜならば
\because
MathJaxSample
- すべての
\forall x
MathJaxSample
- 在る
\exists x
MathJaxSample
- 存在しない
\nexists
MathJaxSample
- 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}
MathJaxSample
- 論理積
P \land Q
MathJaxSample
- 論理和
P \lor Q
MathJaxSample
- 否定
\lnot P
MathJaxSample
- 否定2
\overline{ P }
MathJaxSample
- 否定3
!P
MathJaxSample
- 排他的論理和
P \oplus Q
MathJaxSample
- 排他的論理和2
P \veebar Q
MathJaxSample
- 排他的論理和サンプル
P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q)
MathJaxSample
- トートロジー
\top
MathJaxSample
- 矛盾
\bot
MathJaxSample
- 証明可能
P \vdash Q
MathJaxSample
- 論理的帰結
P \models Q
MathJaxSample
順列と組合せ
- 順列
{}_n \mathrm{ P }_k
MathJaxSample
- 組合せ
{}_n \mathrm{ C }_k
MathJaxSample
- 階乗
n!
MathJaxSample
- 二項係数
\binom{ n }{ k }
MathJaxSample
- 二項係数2
{ n \choose k }
MathJaxSample
- 二項係数3
\dbinom{ n }{ k }
MathJaxSample
- 重複組合せ
{}_n \mathrm{ H }_k
MathJaxSample
- 組合せサンプル
\begin{eqnarray}
{}_n \mathrm{ C }_k
= \binom{ n }{ k }
= \frac{ n! }{ k! ( n - k )! }
\end{eqnarray}
MathJaxSample
- 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}
MathJaxSample
総和・総乗
- 総和
\sum_{i=1}^{n} a_i
MathJaxSample
- 総和(大)
\displaystyle \sum_{i=1}^n a_i
MathJaxSample
- 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}
MathJaxSample
- 総乗
\prod_{ i = 0 }^n x_i
MathJaxSample
- 総乗(大)
\displaystyle \prod_{i=0}^n x_i
MathJaxSample
- 総乗サンプル
\begin{eqnarray}
n! = \prod_{ k = 1 }^n k
\end{eqnarray}
MathJaxSample
- 総乗サンプル2
\begin{eqnarray}
\zeta (s)
= \prod_{ p:\mathrm{ prime } }
\frac{ 1 }{ 1-p^{-s} }
\end{eqnarray}
MathJaxSample
指数・対数
- べき乗
2^3
MathJaxSample
- べき乗2
e^{ i \pi }
MathJaxSample
- 指数関数
\exp ( x )
MathJaxSample
- 平方根
\sqrt{ 2 }
MathJaxSample
- 平方根(高さを揃える)
\sqrt{ \mathstrut a } + \sqrt{ \mathstrut b }
MathJaxSample
- べき根
\sqrt[ n ]{ x }
MathJaxSample
- 対数
\log x
MathJaxSample
- 対数(底)
\log_{ 2 } x
MathJaxSample
- 自然対数
\ln x
MathJaxSample
図形
- 角度(度数)
90^{ \circ }
MathJaxSample
- 角度(ラジアン)
\frac{ \pi }{ 2 }
MathJaxSample
- 角記号
\angle A
MathJaxSample
- 平行(日本スタイル)
AB /\!/ CD
MathJaxSample
- 平行(海外スタイル)
AB \parallel CD
MathJaxSample
- 垂直
AB \perp CD
MathJaxSample
- 三角形
\triangle ABC
MathJaxSample
- 四角形
\Box ABCD
MathJaxSample
- 弧
\stackrel{\huge\frown}{AB}
MathJaxSample
- 弧
\overparen{AB}
MathJaxSample
- 合同(日本スタイル)
\triangle ABC \equiv \triangle DEF
MathJaxSample
- 合同(海外スタイル)
\triangle ABC \cong \triangle DEF
MathJaxSample
- 相似(日本スタイル)
\triangle ABC \backsim \triangle DEF
MathJaxSample
- 相似(海外スタイル)
\triangle ABC \sim \triangle DEF
MathJaxSample
三角関数
- サイン
\sin x
MathJaxSample
- コサイン
\cos x
MathJaxSample
- タンジェント
\tan x
MathJaxSample
- サインサンプル
\begin{eqnarray}
\sin 45^\circ
= \frac{ \sqrt{2} }{ 2 }
\end{eqnarray}
MathJaxSample
- コサインサンプル
\begin{eqnarray}
\cos \frac{ \pi }{ 3 }
= \frac{ 1 }{ 2 }
\end{eqnarray}
MathJaxSample
- タンジェントサンプル
\begin{eqnarray}
\tan \theta
= \frac{ \sin \theta }{ \cos \theta }
\end{eqnarray}
MathJaxSample
- セカント
\sec x
MathJaxSample
- コセカント
\csc x
MathJaxSample
- コタンジェント
\cot x
MathJaxSample
- アークサイン
\arcsin x
MathJaxSample
- アークコサイン
\arccos x
MathJaxSample
- アークタンジェント
\arctan x
MathJaxSample
- ハイパボリックサイン
\sinh x
MathJaxSample
- ハイパボリックコサイン
\cosh x
MathJaxSample
- ハイパボリックタンジェント
\tanh x
MathJaxSample
- ハイパボリックコタンジェント
\coth x
MathJaxSample
複素数
- 複素数
a+bi
MathJaxSample
- 実部
\Re x
MathJaxSample
- 実部2
\require{physics} \Re x
MathJaxSample
- 虚部
\Im x
MathJaxSample
- 虚部2
\require{physics} \Im x
MathJaxSample
- 共役複素数
\bar{z}
MathJaxSample
- 偏角
\arg (z)
MathJaxSample
- 1の3乗根
\omega
MathJaxSample
- 複素数サンプル
\begin{eqnarray}
z\bar{z} = |z|^2
\end{eqnarray}
MathJaxSample
極限
- 極限
\lim_{ x \to +0 } \frac{1}{x} = \infty
MathJaxSample
- 極限(大)
\displaystyle \lim_{ n \to \infty } f_n(x) = f(x)
MathJaxSample
- 上極限
\limsup_{ n \to \infty } a_n
MathJaxSample
- 上極限(簡略)
\varlimsup_{ n \to \infty } a_n
MathJaxSample
- 下極限
\liminf_{ n \to \infty } a_n
MathJaxSample
- 下極限(簡略)
\varliminf_{ n \to \infty } a_n
MathJaxSample
- 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}
MathJaxSample
- 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}
MathJaxSample
- ランダウの記号
\mathcal{O}
MathJaxSample
微分
- 微分(ライプニッツ)
\frac{ dy }{ dx }
MathJaxSample
- 微分(ライプニッツ)2
\frac{ \mathrm{ d } y }{ \mathrm{ d } x }
MathJaxSample
- 微分(ライプニッツ)3
\require{physics} \dv{y}{x}
MathJaxSample
- n階微分(ライプニッツ)
\frac{ d^n y }{ dx^n }
MathJaxSample
- n階微分(ライプニッツ)2
\require{physics} \dv[n]{f}{x}
MathJaxSample
- ある点での微分(ライプニッツ)
\left. \frac{dy}{dx} \right|_{x=a}
MathJaxSample
- ある点での微分(ライプニッツ)2
\require{physics} \eval{\dv{y}{x}}_{x=a}
MathJaxSample
- 微分(ラグランジュ)
f'
MathJaxSample
- 2階微分(ラグランジュ)
f^{\prime\prime}
MathJaxSample
- n階微分(ラグランジュ)
f^{ ( n ) }
MathJaxSample
- 微分(オイラー)
Df
MathJaxSample
- 微分(オイラー)2
D_x f
MathJaxSample
- n階微分(オイラー)
D^n f
MathJaxSample
- 微分(ニュートン)
\dot{y} = \frac{dy}{dt}
MathJaxSample
- 4階微分(ニュートン)
\ddddot{ y } = \frac{ d^4 y }{ dt^4 }
MathJaxSample
- 微分サンプル
\begin{eqnarray}
f'(x)
= \frac{ df }{ dx }
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
MathJaxSample
- 偏微分
\frac{ \partial f }{ \partial x }
MathJaxSample
- 2階偏微分
\frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z
MathJaxSample
- n階偏微分
\frac{ \partial^n f}{ \partial x^n }
MathJaxSample
- 偏微分2
\require{physics} \pdv{f}{x}
MathJaxSample
- 2階偏微分2
\require{physics} \pdv{f}{x}{y}
MathJaxSample
- n階偏微分2
\require{physics} \pdv[n]{f}{x}
MathJaxSample
- 偏微分(簡略)
f_x
MathJaxSample
- 2階偏微分(簡略)
f_{ xy }
MathJaxSample
- ナブラ
\nabla f
MathJaxSample
- ラプラシアン
\Delta f
MathJaxSample
- 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}
MathJaxSample
- 増減表
\begin{array}{c|ccccc}
x & \cdots & -1 & \cdots & 1 & \cdots \\
\hline
f’(x) & + & 0 & – & 0 & + \\
\hline
f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array}
MathJaxSample
積分
- 積分
\int_0^1 f(x) dx
MathJaxSample
- 積分(大)
\displaystyle \int_{-\infty}^{ \infty } f(x) dx
MathJaxSample
- 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}
MathJaxSample
- 2重積分
\iint_D f(x,y) dxdy
MathJaxSample
- 多重積分
\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n
MathJaxSample
- 周回積分
\oint_C f(z) dz
MathJaxSample
ベクトル
- ベクトル
\vec{ a }
MathJaxSample
- ベクトル2文字
\overrightarrow{ AB }
MathJaxSample
- ベクトル太文字
\boldsymbol{ A }
MathJaxSample
- 横ベクトル
( a_1, a_2, \ldots, a_n )
MathJaxSample
- 縦ベクトル
\left(
\begin{array}{c}
a_1 \\
a_2 \\
\vdots \\
a_n
\end{array}
\right)
MathJaxSample
- 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}
MathJaxSample
- 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}}
MathJaxSample
- ノルム
\| x \|
MathJaxSample
- ノルム2
\require{physics} \norm{ \dfrac{1}{2} }
MathJaxSample
- 内積
\vec{ a } \cdot \vec{ b }
MathJaxSample
- 外積
\vec{ a } \times \vec{ b }
MathJaxSample
行列
- 行列(丸かっこ)
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
MathJaxSample
- 行列(角かっこ)
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
MathJaxSample
- 行列(縦線)
\begin{vmatrix}
a & b \\
c & d
\end{vmatrix}
MathJaxSample
- 転置行列
A^{ \mathrm{ T } }
MathJaxSample
- 転置行列2
{}^t \! A
MathJaxSample
- 次元
\dim
MathJaxSample
- 行列の階数
\mathrm{ rank } A
MathJaxSample
- 対角和
\mathrm{ Tr } A
MathJaxSample
- 行列式
\mathrm{ det }A
MathJaxSample
- 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}
MathJaxSample
- 行列(大)
\begin{pmatrix}
a & b & c \\
d & e & f \\
g & h & I
\end{pmatrix}
MathJaxSample
- 行列(大)
\begin{eqnarray}
\left(
\begin{array}{ccc}
a & b & c \\
d & e & f \\
g & h & i
\end{array}
\right)
\end{eqnarray}
MathJaxSample
- 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}
MathJaxSample
- 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}
MathJaxSample
- 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}
MathJaxSample
- 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}
MathJaxSample
- 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}
MathJaxSample
表
- 表
\begin{array}{ccc}
xxx & yyy & zzz \\
1 & 2 & 3
\end{array}
MathJaxSample
- 表(縦線付)
\begin{array}{|c|c|c|}
xxx & yyy & zzz \\
1 & 2 & 3 \\
\end{array}
MathJaxSample
- 表(横線付)
\begin{array}{ccc}
\hline
xxx & yyy & zzz \\
\hline
1 & 2 & 3 \\
\hline
\end{array}
MathJaxSample
- 表サンプル
\begin{array}{c|ccccc}
x & \cdots & -1 & \cdots & 1 & \cdots \\
\hline
f’(x) & + & 0 & – & 0 & + \\
\hline
f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array}
MathJaxSample
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}
MathJaxSample
線
- 縦線
| x |
MathJaxSample
- 縦線2
\vert x \vert
MathJaxSample
- 縦線3
\{ x \mid x \in A \}
MathJaxSample
- 2重縦線
\Vert x \Vert
MathJaxSample
- 2重縦線2
AB \parallel CD
MathJaxSample
- 上線
\overline{ A }
MathJaxSample
- 上線2
\bar{ A }
MathJaxSample
- 下線
\underline{ A }
MathJaxSample
- スラッシュ
/
MathJaxSample
- バックスラッシュ
\backslash
MathJaxSample
- 斜線(下)
\diagdown
MathJaxSample
- 斜線(上)
\diagup
MathJaxSample
- キャンセル
\cancel{a}
MathJaxSample
- バックキャンセル
\bcancel{a}
MathJaxSample
- ×印キャンセル
\xcancel{a}
MathJaxSample
- キャンセルと矢印
\cancelto{A}{a}
MathJaxSample
- キャンセルサンプル
\begin{eqnarray}
\frac{\cancel{2}}{\cancel{6}}=\frac{1}{3}
\end{eqnarray}
MathJaxSample
- 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}
MathJaxSample
- 左下の角
\llcorner
MathJaxSample
- 右下の角
\lrcorner
MathJaxSample
- 左上の角
\ulcorner
MathJaxSample
- 右上の角
\urcorner
MathJaxSample
矢印
- 左矢印
\leftarrow
MathJaxSample
- 左矢印(長い)
\longleftarrow
MathJaxSample
- 右矢印
\rightarrow
MathJaxSample
- 右矢印(長い)
\longrightarrow
MathJaxSample
- 上矢印
\uparrow
MathJaxSample
- 下矢印
\downarrow
MathJaxSample
- 左右矢印
\leftrightarrow
MathJaxSample
- 左右矢印(長い)
\longleftrightarrow
MathJaxSample
- 上下矢印
\updownarrow
MathJaxSample
- 2重左矢印
\Leftarrow
MathJaxSample
- 2重左矢印(長い)
\Longleftarrow
MathJaxSample
- 2重右矢印
\Rightarrow
MathJaxSample
- 2重右矢印(長い)
\Longrightarrow
MathJaxSample
- 2重上矢印
\Uparrow
MathJaxSample
- 2重下矢印
\Downarrow
MathJaxSample
- 2重左右矢印
\Leftrightarrow
MathJaxSample
- 2重左右矢印(長い)
\Longleftrightarrow
MathJaxSample
- 2重上下矢印
\Updownarrow
MathJaxSample
- 右上矢印
\nearrow
MathJaxSample
- 右下矢印
\searrow
MathJaxSample
- 左上矢印
\nwarrow
MathJaxSample
- 左下矢印
\swarrow
MathJaxSample
- 棒付矢印
\mapsto
MathJaxSample
- 棒付矢印(長い)
\longmapsto
MathJaxSample
- 頭に矢印
\vec{ a }
MathJaxSample
- 頭に矢印2
\overrightarrow{ AB }
MathJaxSample
- 頭に矢印(左向き)
\overleftarrow{ AB }
MathJaxSample
- 時計回り矢印
\circlearrowright
MathJaxSample
- 反時計回り矢印
\circlearrowleft
MathJaxSample
括弧
- 丸括弧
( x )
MathJaxSample
- 角括弧
[ x ]
MathJaxSample
- 角括弧2
\lbrack x \rbrack
MathJaxSample
- かぎ括弧
\lceil x \rfloor
MathJaxSample
- かぎ括弧2
\lfloor x \rceil
MathJaxSample
- 波括弧
\{ x \}
MathJaxSample
- 波括弧2
\lbrace x \rbrace
MathJaxSample
- 山括弧
\langle x \rangle
MathJaxSample
- 大きい括弧
\left[ \dfrac{ 1 }{ 2 } \right]
MathJaxSample
- 上括弧
\overbrace{ x + y + z }
MathJaxSample
- 上括弧と文字
\overbrace{ a_1 + \cdots + a_n }^{ n }
MathJaxSample
- 下括弧
\underbrace{ x + y + z }
MathJaxSample
- 下括弧と文字
\underbrace{ a_1 + \cdots + a_n }_{ n }
MathJaxSample
点
- 点(中央)
\cdot
MathJaxSample
- 複数の点(中央横向き)
\cdots
MathJaxSample
- 複数の点(下側横向き)
\ldots
MathJaxSample
- 複数の点(中央縦向き)
\vdots
MathJaxSample
- 複数の点(斜め)
\ddots
MathJaxSample
- 頭に点
\dot{ a }
MathJaxSample
- 頭に2つの点
\ddot{ a }
MathJaxSample
丸
- 白丸
\circ
MathJaxSample
- 黒丸
\bullet
MathJaxSample
- 大きい丸
\bigcirc
MathJaxSample
- 丸にプラス
\oplus
MathJaxSample
- 丸にマイナス
\ominus
MathJaxSample
- 丸に掛ける
\otimes
MathJaxSample
- 丸に点
\odot
MathJaxSample
三角形
- 三角形
\triangle
MathJaxSample
- 下向き三角形
\triangledown
MathJaxSample
- 大きな上向き三角形
\bigtriangleup
MathJaxSample
- 大きな下向き三角形
\bigtriangledown
MathJaxSample
- 左向き三角形
\triangleleft
MathJaxSample
- 左向き三角形2
\lhd
MathJaxSample
- 右向き三角形
\triangleright
MathJaxSample
- 右向き三角形2
\rhd
MathJaxSample
- 左向き三角形と下線
\unlhd
MathJaxSample
- 右向き三角形と下線
\unrhd
MathJaxSample
- 黒い三角形
\blacktriangle
MathJaxSample
四角形
- 正方形
\square
MathJaxSample
- 四角形
\Box
MathJaxSample
- 四角形と十字
\boxplus
MathJaxSample
- 四角形と横線
\boxminus
MathJaxSample
- 四角形と×
\boxtimes
MathJaxSample
- 四角形と点
\boxdot
MathJaxSample
- 黒い正方形
\blacksquare
MathJaxSample
- ダイヤモンド
\diamond
MathJaxSample
- ダイヤモンド2
\Diamond
MathJaxSample
- ひし形
\lozenge
MathJaxSample
- 黒いひし形
\blacklozenge
MathJaxSample
- 枠付きテキスト
\boxed{ abc }
MathJaxSample
- 枠付きテキスト2
\fbox{ abc }
MathJaxSample
- 枠付きテキスト3
\bbox[yellow, 5pt, border: 2px dotted red]{abc}
MathJaxSample
二項演算
- アスタリスク
\ast
MathJaxSample
- スター
\star
MathJaxSample
- 左線と掛ける
\ltimes
MathJaxSample
- 右線と掛ける
\rtimes
MathJaxSample
- 自然結合
\Join
MathJaxSample
一般的な記号
- ドル記号
\$
MathJaxSample
- &記号
\And
MathJaxSample
- 円マーク
\yen
MathJaxSample
- チェックマーク
\checkmark
MathJaxSample
- ダイヤモンド
\diamondsuit
MathJaxSample
- ハート
\heartsuit
MathJaxSample
- クラブ
\clubsuit
MathJaxSample
- スペード
\spadesuit
MathJaxSample
- フラット
\flat
MathJaxSample
- ナチュラル
\natural
MathJaxSample
- シャープ
\sharp
MathJaxSample
- ダガー
\dagger
MathJaxSample
- ダガー2
\ddagger
MathJaxSample
空白
- 空白
aaa \ bbb
MathJaxSample
- 広い空白
aaa \quad bbb
MathJaxSample
- 広い空白2
aaa \qquad bbb
MathJaxSample
- 空白(サイズ指定)
aaa \hspace{ 10pt } bbb
MathJaxSample
- 空白をなくす
aaa \! bbb
MathJaxSample
- 改行
\begin{eqnarray}
aaa \\ bbb
\end{eqnarray}
MathJaxSample
- 改行(サイズ指定)
\begin{eqnarray}
aaa \\[5pt] bbb
\end{eqnarray}
MathJaxSample
- 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}
MathJaxSample
文字サイズ
- 極小サイズ
\tiny{ abc ABC }
MathJaxSample
- 小さいサイズ
\scriptsize{ abc ABC }
MathJaxSample
- 小さいサイズ2
\small{ abc ABC }
MathJaxSample
- ノーマルサイズ
\normalsize{ abc ABC }
MathJaxSample
- 大きいサイズ
\large{ abc ABC }
MathJaxSample
- 大きいサイズ2
\Large{ abc ABC }
MathJaxSample
- 大きいサイズ3
\LARGE{ abc ABC }
MathJaxSample
- 極大サイズ
\huge{ abc ABC }
MathJaxSample
- 極大サイズ2
\Huge{ abc ABC }
MathJaxSample
フォント
- ローマン体
\mathrm{ ABC }
MathJaxSample
- タイプライターフォント
\mathtt{ ABC }
MathJaxSample
- サンセリフ
\mathsf{ ABC }
MathJaxSample
- カリグラフィーフォント
\mathcal{ ABC }
MathJaxSample
- 太文字
\mathbf{ ABC }
MathJaxSample
- イタリック
\mathit{ ABC }
MathJaxSample
- 中抜き文字
\mathbb{ ABC }
MathJaxSample
- スクリプトフォント
\mathscr{ ABC }
MathJaxSample
- フラクトゥール
\mathfrak{ ABC }
MathJaxSample
- ローマン体 サンプル
\mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
- タイプライターフォント サンプル
\mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
- サンセリフ サンプル
\mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
- カリグラフィーフォント サンプル
\mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
MathJaxSample
- 太文字 サンプル
\mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
- イタリック サンプル
\mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
- 中抜き文字 サンプル
\mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
MathJaxSample
- スクリプトフォント サンプル
\mathscr{ ABCDEFGHIJKLMNOPQRSTUVWXYZ }
MathJaxSample
- フラクトゥール サンプル
\mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz }
MathJaxSample
上付き・下付き
- 上付き文字
a^{ xy }
MathJaxSample
- 上付き文字(左)
{}^{ xy } a
MathJaxSample
- 下付き文字
a_{ xy }
MathJaxSample
- 下付き文字(左)
{}_{ xy } a
MathJaxSample
- 下付きサンプル
\begin{eqnarray}
a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 }
\end{eqnarray}
MathJaxSample
アクセント
- ハット
\hat{ a }
MathJaxSample
- グレイブ
\grave{ a }
MathJaxSample
- アキュート
\acute{ a }
MathJaxSample
- ドット
\dot{ a }
MathJaxSample
- ダブルドット
\ddot{ a }
MathJaxSample
- バー
\bar{ a }
MathJaxSample
- 矢印
\vec{ a }
MathJaxSample
- チェック
\check{ a }
MathJaxSample
- チルダ
\tilde{ a }
MathJaxSample
- ブリーブ
\breve{ a }
MathJaxSample
- 広いハット
\widehat{ AAA }
MathJaxSample
- 広いチルダ
\widetilde{ AAA }
MathJaxSample
アルファベット
- さかさまの A
\forall
MathJaxSample
- さかさまの E
\exists
MathJaxSample
- さかさまの F
\Finv
MathJaxSample
- バー付きの h
\hbar
MathJaxSample
- 点なしの i
\imath
MathJaxSample
- 点なしの j
\jmath
MathJaxSample
- 中抜き文字の k
\Bbbk
MathJaxSample
- 筆記体の l
\ell
MathJaxSample
- 丸付きの R
\circledR
MathJaxSample
- 丸付きの S
\circledS
MathJaxSample
ギリシャ文字
- アルファ
\alpha
MathJaxSample
- ベータ
\beta
MathJaxSample
- ガンマ
\gamma
MathJaxSample
- デルタ
\delta
MathJaxSample
- イプシロン
\epsilon
MathJaxSample
- イプシロン2
\varepsilon
MathJaxSample
- ゼータ
\zeta
MathJaxSample
- イータ
\eta
MathJaxSample
- シータ
\theta
MathJaxSample
- シータ2
\vartheta
MathJaxSample
- イオタ
\iota
MathJaxSample
- カッパ
\kappa
MathJaxSample
- ラムダ
\lambda
MathJaxSample
- ミュー
\mu
MathJaxSample
- ニュー
\nu
MathJaxSample
- クシー
\xi
MathJaxSample
- オミクロン
o
MathJaxSample
- パイ
\pi
MathJaxSample
- パイ2
\varpi
MathJaxSample
- ロー
\rho
MathJaxSample
- ロー2
\varrho
MathJaxSample
- シグマ
\sigma
MathJaxSample
- シグマ2
\varsigma
MathJaxSample
- タウ
\tau
MathJaxSample
- ユプシロン
\upsilon
MathJaxSample
- ファイ
\phi
MathJaxSample
- ファイ2
\varphi
MathJaxSample
- カイ
\chi
MathJaxSample
- プシー
\psi
MathJaxSample
- オメガ
\omega
MathJaxSample
- アルファ(大)
A
MathJaxSample
- ベータ(大)
B
MathJaxSample
- ガンマ(大)
\Gamma
MathJaxSample
- ガンマ(大)2
\varGamma
MathJaxSample
- デルタ(大)
\Delta
MathJaxSample
- デルタ(大)2
\varDelta
MathJaxSample
- イプシロン(大)
E
MathJaxSample
- ゼータ(大)
Z
MathJaxSample
- イータ(大)
H
MathJaxSample
- シータ(大)
\Theta
MathJaxSample
- シータ(大)2
\varTheta
MathJaxSample
- イオタ(大)
I
MathJaxSample
- カッパ(大)
K
MathJaxSample
- ラムダ(大)
\Lambda
MathJaxSample
- ラムダ(大)2
\varLambda
MathJaxSample
- ミュー(大)
M
MathJaxSample
- ニュー(大)
N
MathJaxSample
- クシー(大)
\Xi
MathJaxSample
- クシー(大)2
\varXi
MathJaxSample
- オミクロン(大)
O
MathJaxSample
- パイ(大)
\Pi
MathJaxSample
- パイ(大)2
\varPi
MathJaxSample
- ロー(大)
P
MathJaxSample
- シグマ(大)
\Sigma
MathJaxSample
- シグマ(大)2
\varSigma
MathJaxSample
- タウ(大)
T
MathJaxSample
- ユプシロン(大)
\Upsilon
MathJaxSample
- ユプシロン(大)2
\varUpsilon
MathJaxSample
- ファイ(大)
\Phi
MathJaxSample
- ファイ(大)2
\varPhi
MathJaxSample
- カイ(大)
X
MathJaxSample
- プシー(大)
\Psi
MathJaxSample
- プシー(大)2
\varPsi
MathJaxSample
- オメガ(大)
\Omega
MathJaxSample
- オメガ(大)2
\varOmega
MathJaxSample
HTML
- 色付きの文字
\color{red}{a \times b}
MathJaxSample
- 色付きの文字2
\color{ #ff0000 }{a \times b}
MathJaxSample
- 色付きの箱
\colorbox{red}{ Important! }
MathJaxSample
- 色付きの箱2
\colorbox{red}{$a \times b$}
MathJaxSample
- 枠線と色のついた箱
\fcolorbox{black}{ #00ff00 }{$a \times b$}
MathJaxSample
- 枠線と色のついた箱 2
\bbox[yellow, 5pt, border: 2px dotted red]{abc}
MathJaxSample
- ユニコード
\unicode{x0041}
MathJaxSample
- ユニコードサンプル
\begin{eqnarray}
\unicode{x5F45}\text{は、弓へんに剪。}
\end{eqnarray}
MathJaxSample
特殊文字
- セクション
\S
MathJaxSample
- アレフ
\aleph
MathJaxSample
- ベート
\beth
MathJaxSample
- ギメル
\gimel
MathJaxSample
- ダレット
\daleth
MathJaxSample
ロゴ
- tex
\TeX
MathJaxSample
- latex
\LaTeX
MathJaxSample
Mathjax 2.7に戻る。