「Mathjax2.x コード一覧」の版間の差分

提供:yonewiki
編集の要約なし
編集の要約なし
40行目: 40行目:




*分数
*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 ===


*分数
*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">\frac{1}{2}
<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;">
$$ \frac{1}{2} $$
$$ \TeX $$
</div>
</div>




*分数
*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">\frac{1}{2}
<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;">
$$ \frac{1}{2} $$
$$ \LaTeX $$
</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。

 

  • 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)

javascript
\require{physics} \flatfrac{1}{2}
MathJaxSample


  • 分数と括弧

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


  • 分数と括弧2

scss
\require{physics} \qty( -\frac{1}{2} )^2
MathJaxSample


  • 連分数

css
\frac{a+b}{c+\frac{d}{e}}
MathJaxSample


  • 連分数2

css
\cfrac{a+b}{c+\cfrac{d}{e}}
MathJaxSample


  • 無限連分数

lua
\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

lua
\pi = 3.14 \ldots
MathJaxSample


  • 無限小数2

lua
\sqrt{2} = 1.4142 \cdots
MathJaxSample


  • 無限大

\infty
MathJaxSample


  • 絶対値

|x|
MathJaxSample


  • 絶対値2

css
\vert x \vert
MathJaxSample


  • 分数と絶対値

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


  • 分数と絶対値2

javascript
\require{physics} \qty|\dfrac{x}{2}|
MathJaxSample


  • 分数と絶対値3

lua
\require{physics} \abs{ \dfrac{x}{2} }
MathJaxSample


  • ガウス記号

csharp
[x]
MathJaxSample


  • ガウス記号2

css
\lbrack x \rbrack
MathJaxSample


  • 床関数

css
\lfloor x \rfloor
MathJaxSample


  • 天井関数

css
\lceil x \rceil
MathJaxSample


  • ガウス記号サンプル

lua
\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

bash
2 \times 3
MathJaxSample


  • 割る

css
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)

java
a \cdot b = ab
MathJaxSample


  • 割る(分数)

java
a \div b = \frac{a}{b}
MathJaxSample


  • 掛け算の筆算

scss
\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

scss
\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

css
a \equiv b \mod n
MathJaxSample


  • 合同式(括弧付)

css
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

css
x \propto y
MathJaxSample

 

大小

  • 大なり

css
a \gt b
MathJaxSample


  • 大なりイコール

css
a \geq b
MathJaxSample


  • 大なりイコール2

css
a \geqq b
MathJaxSample


  • 小なり

css
a \lt b
MathJaxSample


  • 小なりイコール

css
a \leq b
MathJaxSample


  • 小なりイコール2

css
a \leqq b
MathJaxSample


  • 等しい

ini
a = b
MathJaxSample


  • 等しくない

css
a \neq b
MathJaxSample


  • ほぼ等しい

css
a \fallingdotseq b
MathJaxSample


  • ほぼ等しい2

css
a \sim b
MathJaxSample


  • ほぼ等しい3

css
a \simeq b
MathJaxSample


  • ほぼ等しい4

css
a \approx b
MathJaxSample


  • 十分大きい

css
a \gg b
MathJaxSample


  • 十分小さい

css
a \ll b
MathJaxSample


  • 最大

scss
\max f(x)
MathJaxSample


  • 最小

scss
\min f(x)
MathJaxSample


  • 最大サンプル

ruby
\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

ruby
\begin{eqnarray}
aaa \\
bbb
\end{eqnarray}
MathJaxSample


  • 改行(サイズ指定)

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


  • 位置合わせ

ruby
\begin{eqnarray}
x + 2x &=& 3 \\
x &=& 1
\end{eqnarray}
MathJaxSample


  • 連立方程式

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


  • 場合分け

ruby
\begin{eqnarray}
|x|
 =
  \begin{cases}
    x & ( x \geqq 0 ) \\
    -x & ( x \lt 0 )
  \end{cases}
\end{eqnarray}
MathJaxSample

 

集合

  • 帰属関係

css
x \in A
MathJaxSample


  • 帰属関係2

css
A \ni x
MathJaxSample


  • 帰属していない

css
x \notin A
MathJaxSample


  • 部分集合

css
A \subset B
MathJaxSample


  • 部分集合2

css
A \subseteq B
MathJaxSample


  • 部分集合3

css
A \subseteqq B
MathJaxSample


  • 上位集合

css
A \supset B
MathJaxSample


  • 上位集合2

css
A \supseteq B
MathJaxSample


  • 上位集合3

css
A \supseteqq B
MathJaxSample


  • 部分集合でない

css
A \not \subset B
MathJaxSample


  • 真の部分集合

css
A \subsetneqq B
MathJaxSample


  • 集合の交わり

css
A \cap B
MathJaxSample


  • 集合の結び

css
A \cup B
MathJaxSample


  • 空集合

\varnothing
MathJaxSample


  • 空集合2

\emptyset
MathJaxSample


  • 補集合

css
A^c
MathJaxSample


  • 補集合2

css
\overline{ A }
MathJaxSample


  • 補集合サンプル

bash
\overline{ (A\cap B) } = \overline{ A } \cup \overline{ B }
MathJaxSample


  • 補集合サンプル2

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


  • 差集合

css
A \setminus B
MathJaxSample


  • 差集合サンプル

bash
A \setminus B
= A \cap B^c
= \{ x \in A \mid x \notin B \}
MathJaxSample


  • 対称差

css
A \triangle B
MathJaxSample


  • 対称差サンプル

java
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

css
\mathbb{ Q }
MathJaxSample


  • 実数全体の集合

css
\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

css
\sup A
MathJaxSample


  • 下限

css
\inf A
MathJaxSample


  • アレフ数

\aleph
MathJaxSample

 

論理

  • 含意

css
P \implies Q
MathJaxSample


  • 含意2

css
P \Rightarrow Q
MathJaxSample


  • 含意3

css
P \to Q
MathJaxSample


  • 含意(逆向き)

css
P \Leftarrow  Q
MathJaxSample


  • 含意(逆向き)2

css
P \gets  Q
MathJaxSample


  • 同値

css
P \iff Q
MathJaxSample


  • 同値2

css
P \Leftrightarrow Q
MathJaxSample


  • 同値3

css
P \leftrightarrow Q
MathJaxSample


  • 同値4

css
P \equiv Q
MathJaxSample


  • よって

\therefore
MathJaxSample


  • なぜならば

\because
MathJaxSample


  • すべての

css
\forall x
MathJaxSample


  • 在る

css
\exists x
MathJaxSample


  • 存在しない

\nexists
MathJaxSample


  • 量化記号サンプル

perl
\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

css
P \land Q
MathJaxSample


  • 論理和

css
P \lor Q
MathJaxSample


  • 否定

css
\lnot P
MathJaxSample


  • 否定2

css
\overline{ P }
MathJaxSample


  • 否定3

css
!P
MathJaxSample


  • 排他的論理和

css
P \oplus Q
MathJaxSample


  • 排他的論理和2

css
P \veebar Q
MathJaxSample


  • 排他的論理和サンプル

java
P \oplus Q = (P \land \lnot Q) \lor (\lnot P \land Q)
MathJaxSample


  • トートロジー

css
\top
MathJaxSample


  • 矛盾

\bot
MathJaxSample


  • 証明可能

css
P \vdash Q
MathJaxSample


  • 論理的帰結

css
P \models Q
MathJaxSample

 

順列と組合せ

  • 順列

css
{}_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

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


  • 順列サンプル

ruby
\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

ruby
\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

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


  • 総乗サンプル2

ruby
\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

css
e^{ i \pi }
MathJaxSample


  • 指数関数

cpp
\exp ( x )
MathJaxSample


  • 平方根

lua
\sqrt{ 2 }
MathJaxSample


  • 平方根(高さを揃える)

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


  • べき根

css
\sqrt[ n ]{ x }
MathJaxSample


  • 対数

bash
\log x
MathJaxSample


  • 対数(底)

css
\log_{ 2 } x
MathJaxSample


  • 自然対数

bash
\ln x
MathJaxSample

 

図形

  • 角度(度数)

90^{ \circ }
MathJaxSample


  • 角度(ラジアン)

lua
\frac{ \pi }{ 2 }
MathJaxSample


  • 角記号

css
\angle A
MathJaxSample


  • 平行(日本スタイル)

swift
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

rust
\Box ABCD
MathJaxSample


lua
\stackrel{\huge\frown}{AB}
MathJaxSample


\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

css
\sin x
MathJaxSample


  • コサイン

css
\cos x
MathJaxSample


  • タンジェント

css
\tan x
MathJaxSample


  • サインサンプル

lua
\begin{eqnarray}
\sin 45^\circ
 = \frac{ \sqrt{2} }{ 2 }
\end{eqnarray}
MathJaxSample


  • コサインサンプル

lua
\begin{eqnarray}
\cos \frac{ \pi }{ 3 }
 = \frac{ 1 }{ 2 }
\end{eqnarray}
MathJaxSample


  • タンジェントサンプル

lua
\begin{eqnarray}
\tan \theta
 = \frac{ \sin \theta }{ \cos \theta }
\end{eqnarray}
MathJaxSample


  • セカント

css
\sec x
MathJaxSample


  • コセカント

css
\csc x
MathJaxSample


  • コタンジェント

css
\cot x
MathJaxSample


  • アークサイン

css
\arcsin x
MathJaxSample


  • アークコサイン

css
\arccos x
MathJaxSample


  • アークタンジェント

css
\arctan x
MathJaxSample


  • ハイパボリックサイン

css
\sinh x
MathJaxSample


  • ハイパボリックコサイン

css
\cosh x
MathJaxSample


  • ハイパボリックタンジェント

css
\tanh x
MathJaxSample


  • ハイパボリックコタンジェント

css
\coth x
MathJaxSample

 

複素数

  • 複素数

css
a+bi
MathJaxSample


  • 実部

css
\Re x
MathJaxSample


  • 実部2

css
\require{physics} \Re x
MathJaxSample


  • 虚部

css
\Im x
MathJaxSample


  • 虚部2

css
\require{physics} \Im x
MathJaxSample


  • 共役複素数

\bar{z}
MathJaxSample


  • 偏角

lua
\arg (z)
MathJaxSample


  • 1の3乗根

\omega
MathJaxSample


  • 複素数サンプル

ruby
\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

css
\limsup_{ n \to \infty } a_n
MathJaxSample


  • 上極限(簡略)

css
\varlimsup_{ n \to \infty } a_n
MathJaxSample


  • 下極限

css
\liminf_{ n \to \infty } a_n
MathJaxSample


  • 下極限(簡略)

css
\varliminf_{ n \to \infty } a_n
MathJaxSample


  • 上極限サンプル

ruby
\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

ruby
\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

css
\frac{ \mathrm{ d } y }{ \mathrm{ d } x }
MathJaxSample


  • 微分(ライプニッツ)3

css
\require{physics} \dv{y}{x}
MathJaxSample


  • n階微分(ライプニッツ)

css
\frac{ d^n y }{ dx^n }
MathJaxSample


  • n階微分(ライプニッツ)2

css
\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

javascript
\require{physics} \eval{\dv{y}{x}}_{x=a}
MathJaxSample


  • 微分(ラグランジュ)

vbnet
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)

scss
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

rust
\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

csharp
\frac{ \partial f }{ \partial x }
MathJaxSample


  • 2階偏微分

csharp
\frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z
MathJaxSample


  • n階偏微分

csharp
\frac{ \partial^n f}{ \partial x^n }
MathJaxSample


  • 偏微分2

css
\require{physics} \pdv{f}{x}
MathJaxSample


  • 2階偏微分2

css
\require{physics} \pdv{f}{x}{y}
MathJaxSample


  • n階偏微分2

css
\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

csharp
\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

php
\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

scss
\int_0^1 f(x) dx
MathJaxSample


  • 積分(大)

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


  • 積分サンプル

ruby
\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

css
\iint_D f(x,y) dxdy
MathJaxSample


  • 多重積分

scss
\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n
MathJaxSample


  • 周回積分

scss
\oint_C f(z) dz
MathJaxSample

 

ベクトル

  • ベクトル

css
\vec{ a }
MathJaxSample


  • ベクトル2文字

\overrightarrow{ AB }
MathJaxSample


  • ベクトル太文字

css
\boldsymbol{ A }
MathJaxSample


  • 横ベクトル

scss
( a_1, a_2, \ldots, a_n )
MathJaxSample


  • 縦ベクトル

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


  • ベクトルサンプル

ruby
\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

bash
\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

javascript
\require{physics} \norm{ \dfrac{1}{2} }
MathJaxSample


  • 内積

css
\vec{ a } \cdot \vec{ b }
MathJaxSample


  • 外積

perl
\vec{ a } \times \vec{ b }
MathJaxSample

 

行列

  • 行列(丸かっこ)

css
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
MathJaxSample


  • 行列(角かっこ)

css
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
MathJaxSample


  • 行列(縦線)

css
\begin{vmatrix}
a & b \\
c & d
\end{vmatrix}
MathJaxSample


  • 転置行列

css
A^{ \mathrm{ T } }
MathJaxSample


  • 転置行列2

css
{}^t \! A
MathJaxSample


  • 次元

r
\dim
MathJaxSample


  • 行列の階数

css
\mathrm{ rank } A
MathJaxSample


  • 対角和

css
\mathrm{ Tr } A
MathJaxSample


  • 行列式

css
\mathrm{ det }A
MathJaxSample


  • 行列式サンプル

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


  • 行列(大)

css
\begin{pmatrix}
  a & b & c \\
  d & e & f \\
  g & h & I
\end{pmatrix}
MathJaxSample


  • 行列(大)

css
\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)

ruby
\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)

ruby
\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

ruby
\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

ruby
\begin{eqnarray}
\begin{pmatrix}
  \lambda & 1 &   &  & 0 \\
    & \lambda & 1 &   &   \\
    &   & \ddots & \ddots &   \\
    &   &   & \lambda & 1  \\
  0 &   &   &   & \lambda
\end{pmatrix}
\end{eqnarray}
MathJaxSample


  • 余因子

css
\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

 

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


  • 表(縦線付)

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


  • 表(横線付)

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


  • 表サンプル

php
\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

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

 

  • 縦線

| x |
MathJaxSample


  • 縦線2

css
\vert x \vert
MathJaxSample


  • 縦線3

css
\{ x \mid x \in A \}
MathJaxSample


  • 2重縦線

css
\Vert x \Vert
MathJaxSample


  • 2重縦線2

AB \parallel CD
MathJaxSample


  • 上線

css
\overline{ A }
MathJaxSample


  • 上線2

css
\bar{ A }
MathJaxSample


  • 下線

css
\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

css
\cancel{a}
MathJaxSample


  • バックキャンセル

css
\bcancel{a}
MathJaxSample


  • ×印キャンセル

css
\xcancel{a}
MathJaxSample


  • キャンセルと矢印

css
\cancelto{A}{a}
MathJaxSample


  • キャンセルサンプル

ruby
\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

ruby
\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

css
\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

css
( x )
MathJaxSample


  • 角括弧

css
[ x ]
MathJaxSample


  • 角括弧2

css
\lbrack x \rbrack
MathJaxSample


  • かぎ括弧

css
\lceil x \rfloor
MathJaxSample


  • かぎ括弧2

css
\lfloor x \rceil
MathJaxSample


  • 波括弧

css
\{ x \}
MathJaxSample


  • 波括弧2

css
\lbrace x \rbrace
MathJaxSample


  • 山括弧

css
\langle x \rangle
MathJaxSample


  • 大きい括弧

css
\left[ \dfrac{ 1 }{ 2 } \right]
MathJaxSample


  • 上括弧

css
\overbrace{ x + y + z }
MathJaxSample


  • 上括弧と文字

\overbrace{ a_1 + \cdots + a_n }^{ n }
MathJaxSample


  • 下括弧

css
\underbrace{ x + y + z }
MathJaxSample


  • 下括弧と文字

\underbrace{ a_1 + \cdots + a_n }_{ n }
MathJaxSample

 

  • 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

css
\dot{ a }
MathJaxSample


  • 頭に2つの点

css
\ddot{ a }
MathJaxSample

 

  • 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

scss
\square
MathJaxSample


  • 四角形

rust
\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

css
\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

sql
\Join
MathJaxSample

 

一般的な記号

  • ドル記号

ruby
\$
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

sql
\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

ruby
\begin{eqnarray} 
aaa \\ bbb
\end{eqnarray}
MathJaxSample


  • 改行(サイズ指定)

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


  • 改行(サイズ指定)サンプル

ruby
\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

lua
\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

css
a^{ xy }
MathJaxSample


  • 上付き文字(左)

css
{}^{ xy } a
MathJaxSample


  • 下付き文字

a_{ xy }
MathJaxSample


  • 下付き文字(左)

css
{}_{ xy } a
MathJaxSample


  • 下付きサンプル

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

 

アクセント

  • ハット

css
\hat{ a }
MathJaxSample


  • グレイブ

css
\grave{ a }
MathJaxSample


  • アキュート

css
\acute{ a }
MathJaxSample


  • ドット

css
\dot{ a }
MathJaxSample


  • ダブルドット

css
\ddot{ a }
MathJaxSample


  • バー

css
\bar{ a }
MathJaxSample


  • 矢印

css
\vec{ a }
MathJaxSample


  • チェック

css
\check{ a }
MathJaxSample


  • チルダ

css
\tilde{ a }
MathJaxSample


  • ブリーブ

css
\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

perl
\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

r
\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

go
\iota
MathJaxSample


  • カッパ

\kappa
MathJaxSample


  • ラムダ

python
\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

lua
\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)

css
A
MathJaxSample


  • ベータ(大)

css
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)

css
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)

css
P
MathJaxSample


  • シグマ(大)

\Sigma
MathJaxSample


  • シグマ(大)2

\varSigma
MathJaxSample


  • タウ(大)

r
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)

css
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

css
\color{red}{a \times b}
MathJaxSample


  • 色付きの文字2

css
\color{ #ff0000 }{a \times b}
MathJaxSample


  • 色付きの箱

\colorbox{red}{ Important! }
MathJaxSample


  • 色付きの箱2

bash
\colorbox{red}{$a \times b$}
MathJaxSample


  • 枠線と色のついた箱

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


  • 枠線と色のついた箱 2

css
\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

ruby
\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。