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KaTeXで数式を書く

改行

latex
$$
\begin{aligned} 
  x^2 - (a + b)x + ab = 0 \\
  (x - a) (x - b) = 0 \\
  x = a, b
\end{aligned}
$$
$$
\begin{aligned} 
  x^2 - (a + b)x + ab = 0 \\
  (x - a) (x - b) = 0 \\
  x = a, b
\end{aligned}
$$

揃える

latex
$$
\begin{aligned} 
  x^2 - (a + b)x + ab &= 0 \\
  (x - a) (x - b) &= 0 \\
  x &= a, b
\end{aligned}
$$
$$
\begin{aligned} 
  x^2 - (a + b)x + ab &= 0 \\
  (x - a) (x - b) &= 0 \\
  x &= a, b
\end{aligned}
$$

空白

latex
$$
\begin{aligned} 
  x^2 - (a + b)x + ab &= 0 \\
  (x - a) (x - b) &= 0 \\
  x &= a, \qquad\quad b
\end{aligned}
$$
$$
\begin{aligned} 
  x^2 - (a + b)x + ab &= 0 \\
  (x - a) (x - b) &= 0 \\
  x &= a, \qquad\quad b
\end{aligned}
$$

添字

x^{2} ->

x^{2+i} ->

x_{i} ->

x_{i-1} ->

x^{2}_{i} ->

x_{i}^{2} ->

{x_{i}}^{2} ->

{x^{2}}_{i} ->

x^{y^{2}} ->

x^{y_{2}} ->

x_{y_{i}} ->

x_{y^{2}} ->

x^{\prime} ->

{}^{\forall}x ->

{}^{\exists}x ->

{}_{n}C_{r} ->

分数

\frac{1}{2} ->

y = \frac{1}{x+1} ->

根号記号

\sqrt[1]{2} ->

L = \int_{b}^{a} \sqrt{ \left( \frac{dx}{dt} \right)^{2} + \left( \frac{dy}{dt} \right)^{2} } dt ->

シグマ記号

\sum ->

\sum^{n}_{k=1}(a_{k}+b_{k}) = \sum^{n}_{k=1}a_{k} + \sum^{n}_{k=1}b_{k} ->

積分記号

\int ->

\int^{b}_{a}f(x)dx = \int^{c}_{a}f(x)dx + \int^{b}_{c}f(x)dx ->

省略記号

\ldots ->

\vdots ->

\cdots ->

\ddots ->

tex
\left( \begin{array}{rrcr}
1      & 2        & \cdots & n      \\
2      & 4        & \cdots & 2n     \\
\vdots & \vdots   & \ddots & \vdots \\
m      & m\cdot 2 & \cdots & m\cdot n 
\end{array} \right) \;\;\; (n , m = 0, 1, 2, \ldots)
\left( \begin{array}{rrcr}
1      & 2        & \cdots & n      \\
2      & 4        & \cdots & 2n     \\
\vdots & \vdots   & \ddots & \vdots \\
m      & m\cdot 2 & \cdots & m\cdot n 
\end{array} \right) \;\;\; (n , m = 0, 1, 2, \ldots)

->

文字修飾記号

\vec{x} ->

\hat{x} ->

\dot{x} ->

\acute{x} ->

\check{x} ->

\bar{x} ->

\tilde{x} ->

\ddot{x} ->

\grave{x} ->

\breve{x} ->

\vec{a} + \vec{b} + \vec{c} + \vec{d} + \vec{e} + \vec{f} ->

上線

\overline{A} \cup \overline{B} = \overline{A \cap B} ->

否定記号

a \neq b ->

その他の数学記号

\log ->

\sin ->

\cos ->

\tan ->

\max ->

\min ->

\gcd ->

\det ->

\exp ->

\ln ->

\pm ->

\mp ->

\times ->

\div ->

\ast ->

\star ->

\circ ->

\bullet ->

\cdot ->

\bigcirc ->

\setminus ->

\wr ->

\in ->

\ni ->

\cap ->

\cup ->

\vee ->

\wedge ->

\subset ->

\subseteq ->

\supset ->

\supseteq ->

\oplus ->

\ominus ->

\otimes ->

\oslash ->

\leq ->

\geq ->

\ll ->

\gg ->

\neq ->

\equiv ->

\sim ->

\cong ->

\propto ->

\approx ->

\parallel ->

\perp ->

\emptyset ->

\angle ->

\langle ->

\rangle ->

\lfloor ->

\rfloor ->

\lceil ->

\rceil ->

\infty ->

\partial ->

\prime ->

\ell ->

\imath ->

\jmath ->

\surd ->

\nabla ->

\forall ->

\exists ->

\neg ->

\backslash ->

\prod ->

\coprod ->

\dagger ->

\ddagger ->

\aleph ->

\sharp ->

\flat ->

\natural ->

\triangleleft ->

\triangleright ->

\bigtriangleup ->

\bigtriangledown ->

\triangle ->

\Box ->

\Diamond ->

\diamond ->

\clubsuit ->

\diamondsuit ->

\heartsuit ->

\spadesuit ->

矢印記号

\leftarrow ->

\longleftarrow ->

\uparrow ->

\Leftarrow ->

\Longleftarrow ->

\Uparrow ->

\rightarrow ->

\longrightarrow ->

\downarrow ->

\Rightarrow ->

\Longrightarrow ->

\Downarrow ->

\leftrightarrow ->

\longleftrightarrow ->

\updownarrow ->

\Leftrightarrow ->

\Longleftrightarrow ->

\Updownarrow ->

\mapsto ->

\longmapsto ->

\nearrow ->

\hookleftarrow ->

\hookrightarrow ->

\searrow ->

\leftharpoonup ->

\rightharpoonup ->

\swarrow ->

\leftharpoondown ->

\rightharpoondown ->

\nwarrow ->

\rightleftharpoons ->

基本的な数学記号

\int -> ->

\int_{0}^{\infty} -> ->

\sum -> ->

\sum_{n = 1}^{\infty} -> ->

\lim -> ->

\lim_{n \to -\infty} -> ->

数式モードでの空白制御

a\;b ->

a\:b ->

a\,b ->

a\!b ->

\int\int_{G}f(x,y)dxdy ->

\int\!\!\!\int_{G}f(\,x,\,y\,)\;\,dx\:dy ->

ギリシャ文字

\Gamma ->

\Delta ->

\Theta ->

\Lambda ->

\Xi ->

\Pi ->

\Sigma ->

\Upsilon ->

\Phi ->

\Psi ->

\Omega ->

\alpha ->

\beta ->

\gamma ->

\delta ->

\epsilon ->

\varepsilon ->

\zeta ->

\eta ->

\theta ->

\vartheta ->

\iota ->

\kappa ->

\lambda ->

\mu ->

\nu ->

\xi ->

\pi ->

\varpi ->

\rho ->

\varrho ->

\sigma ->

\varsigma ->

\tau ->

\upsilon ->

\phi ->

\varphi ->

\chi ->

\psi ->

\omega ->

大きさの変化する括弧,矢印記号

( \frac{x}{z} )^{2} + \left( \frac{y}{z} \right)^{2} = 1 ->

f(x) = \left\{ \frac{( x + 1 )( x + 2 )}{x}\right\} ->

行列を書く

tex
\left( \begin{array}{rr}
a & b \\ c & d
\end{array} \right) \left( \begin{array}{r}
x \\ y
\end{array} \right) = 0 \; \Longleftrightarrow \; \left\{
\begin{array}{rrrrr}
ax & + & by & = & 0 \\
cx & + & dy & = & 0
\end{array} \right.
\left( \begin{array}{rr}
a & b \\ c & d
\end{array} \right) \left( \begin{array}{r}
x \\ y
\end{array} \right) = 0 \; \Longleftrightarrow \; \left\{
\begin{array}{rrrrr}
ax & + & by & = & 0 \\
cx & + & dy & = & 0
\end{array} \right.

->