大学数学

【LaTeX】頻出コマンドのメモ帳
(一覧、チートシート)

LaTeXと書かれた紙がピン止めされた、おしゃれな植物

LaTeXで頻出かつ覚えづらい
コマンドのみをまとめたメモ帳です。

基本の簡単なものは暗記して
難しいのだけ見れたら便利と思い作りました。

*コードはコピペ可能で入力の手間要らずです。
*必要に応じて今後も書き足して行く予定です。

数式

\(\left\{ \begin{eqnarray}ax + by &=& 0 \\ cx + dy &=& 0 \end{eqnarray} \right.\)\(\verb|\|\)left\(\verb|\|\){ \(\verb|\|\)begin{eqnarray} ax + by &=& 0 \(\verb|\|\)\(\verb|\|\) cx + dy &=& 0 \(\verb|\|\)end{eqnarray} \(\verb|\|\)right.
$$\frac {\partial f(x,t)}{\partial t}\hspace{1cm}$$\(\verb|\|\)frac{\(\verb|\|\)partial f(x,t)}{\(\verb|\|\)partial t}
\({}_n \mathrm{C}_r\){}_n \(\verb|\|\)mathrm{C}_r
\(\sqrt[n]{a}\)\(\verb|\|\)sqrt[n]{a}
\(\|x\|\)\(\verb|\|\)|x\(\verb|\|\)|
\(\bar{z}\)\(\verb|\|\)bar{z}もしくは\(\verb|\|\)overline{z}
\(\tilde{A}\)\(\verb|\|\)tilde{A}

集合と写像

\(\phi\)\(\verb|\|\)phi
\(\overline{A}\)\(\verb|\|\)overline{A}
\(A \stackrel{f}{\to} B\)A \(\verb|\|\)stackrel{f}{\(\verb|\|\)to} B
\(a \mapsto f(a)\)a \(\verb|\|\)mapsto f(a)
\(g \circ f\)g \(\verb|\|\)circ f

ベクトル、行列

\(\vec{a}\)\(\verb|\|\)vec{a}
\(\overrightarrow{\mathrm{AB}}\)\(\verb|\|\)overrightarrow{\(\verb|\|\)mathrm{AB}}
\(\begin{pmatrix} a \\ b \end{pmatrix}\)\(\verb|\|\)begin{pmatrix} a \(\verb|\|\)\(\verb|\|\) b \(\verb|\|\)end{pmatrix}
\(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\)\(\verb|\|\)begin{pmatrix} a & b \(\verb|\|\)\(\verb|\|\) c & d \(\verb|\|\)end{pmatrix}
\(\begin{vmatrix} a & b \\ c & d \end{vmatrix}\)\(\verb|\|\)begin{vmatrix} a & b \(\verb|\|\)\(\verb|\|\) c & d \(\verb|\|\)end{vmatrix}
\(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\)\(\verb|\|\)begin{bmatrix} a & b \(\verb|\|\)\(\verb|\|\) c & d \(\verb|\|\)end{bmatrix}
\(\begin{pmatrix} a_{11} & \cdots & a_{1n} \\ \vdots & \ddots & \vdots \\ a_{n1} & \cdots & a_{nn} \end{pmatrix}\)\(\verb|\|\)begin{pmatrix} a_{11} & \(\verb|\|\)cdots & a_{1n} \(\verb|\|\)\(\verb|\|\) \(\verb|\|\)vdots & \(\verb|\|\)ddots & \(\verb|\|\)vdots \(\verb|\|\)\(\verb|\|\) a_{n1} & \(\verb|\|\)cdots & a_{nn} \(\verb|\|\)end{pmatrix}
\( A^\top \)A^\(\verb|\|\)top

図形

\( \mathrm{AB} /\!/ \mathrm{CD} \)\(\verb|\|\)mathrm{AB} /\(\verb|\|\)!/ \(\verb|\|\)mathrm{CD}
\( \mathrm{AB} \perp \mathrm{CD} \)\(\verb|\|\)mathrm{AB} \(\verb|\|\)perp \(\verb|\|\)mathrm{CD}

等号

\(A \Leftrightarrow B\)A \(\verb|\|\)Leftrightarrow B
\(A \sim B\)A \(\verb|\|\)sim B
\(A \approx B\)A \(\verb|\|\)approx B
\(0.99 \fallingdotseq 1\)0.99 \(\verb|\|\)fallingdotseq 1
\(f(x) \equiv g(x)\)f(x) \(\verb|\|\)equiv g(x)
\(f(x) \stackrel{\mathrm{def}}{=} g(x)\)f(x) \(\verb|\|\)stackrel{\(\verb|\|\)mathrm{def}}{=} g(x)

余白・空白

一文字分\(a \quad b\)a \(\verb|\|\)quad b
半角スペース\(a \; b\)a \(\verb|\|\); b
負のスペース\(a \! b\)a \(\verb|\|\)! b
任意の長さ\(a \hspace{3cm} b\)a \(\verb|\|\)hspace{3cm} b

書体

\(\mathrm{ABC}\)\(\verb|\|\)mathrm{ABC}
\(\mathbb{N,Z,Q,R,C}\)\(\verb|\|\)mathbb{N,Z,Q,R,C}

その他

\(\underbrace{n+n+ \cdots +n}_k = kn\)\(\verb|\|\)underbrace{n + n + \(\verb|\|\)cdots + n}_k = kn

-大学数学