KaTeXで数式を書く ​

改行 ​

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

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

​x​2​​−(a+b)x+ab=0​(x−a)(x−b)=0​x=a,b​​

揃える ​

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

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

​x​2​​−(a+b)x+ab​(x−a)(x−b)​x​​​=0​=0​=a,b​​

空白 ​

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

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

​x​2​​−(a+b)x+ab​(x−a)(x−b)​x​​​=0​=0​=a,b​​

添字 ​

x^{2} -> x​2​​

x^{2+i} -> x​2+i​​

x_{i} -> x​i​​

x_{i-1} -> x​i−1​​

x^{2}_{i} -> x​i​2​​

x_{i}^{2} -> x​i​2​​

{x_{i}}^{2} -> x​i​​​2​​

{x^{2}}_{i} -> x​2​​​i​​

x^{y^{2}} -> x​y​2​​​​

x^{y_{2}} -> x​y​2​​​​

x_{y_{i}} -> x​y​i​​​​

x_{y^{2}} -> x​y​2​​​​

x^{\prime} -> x​′​​

{}^{\forall}x -> ​∀​​x

{}^{\exists}x -> ​∃​​x

{}_{n}C_{r} -> ​n​​C​r​​

分数 ​

\frac{1}{2} ->

​2​​1​​

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

y=​x+1​​1​​

根号記号 ​

\sqrt[1]{2} ->

​1​​√​2​​​

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

L=∫​b​a​​√​(​dt​​dx​​)​2​​+(​dt​​dy​​)​2​​​​​dt

シグマ記号 ​

\sum -> $\sum$

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

​k=1​∑​n​​(a​k​​+b​k​​)=​k=1​∑​n​​a​k​​+​k=1​∑​n​​b​k​​

積分記号 ​

\int -> $\int$

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

∫​a​b​​f(x)dx=∫​a​c​​f(x)dx+∫​c​b​​f(x)dx

省略記号 ​

\ldots -> $\dots$

\vdots -> $⋮$

\cdots -> $\cdots$

\ddots -> $\ddots$

\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)

->

​⎝​⎜​⎜​⎛​​​1​2​⋮​m​​​2​4​⋮​m⋅2​​​⋯​⋯​⋱​⋯​​​n​2n​⋮​m⋅n​​​⎠​⎟​⎟​⎞​​(n,m=0,1,2,…)

文字修飾記号 ​

\vec{x} -> ​x​⃗​​

\hat{x} -> ​x​^​​

\dot{x} -> ​x​˙​​

\acute{x} -> ​x​´​​

\check{x} -> ​x​ˇ​​

\bar{x} -> ​x​¯​​

\tilde{x} -> ​x​~​​

\ddot{x} -> ​x​¨​​

\grave{x} -> ​x​`​​

\breve{x} -> ​x​˘​​

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

上線 ​

\overline{A} \cup \overline{B} = \overline{A \cap B} -> ​A​​​∪​B​​​=​A∩B​​​

否定記号 ​

a \neq b -> $a\ne b$

その他の数学記号 ​

\log -> $\log$

\sin -> $\sin$

\cos -> $\cos$

\tan -> $\tan$

\max -> $\max$

\min -> $\min$

\gcd -> $\gcd$

\det -> $\det$

\exp -> $\exp$

\ln -> $\ln$

\pm -> $\pm$

\mp -> $\mp$

\times -> $\times$

\div -> $÷$

\ast -> $\ast$

\star -> $\star$

\circ -> $\circ$

\bullet -> $\bullet$

\cdot -> $\cdot$

\bigcirc -> $◯$

\setminus -> $\setminus$

\wr -> $\wr$

\in -> $\in$

\ni -> $\ni$

\cap -> $\cap$

\cup -> $\cup$

\vee -> $\vee$

\wedge -> $\wedge$

\subset -> $\subset$

\subseteq -> $\subseteq$

\supset -> $\supset$

\supseteq -> $\supseteq$

\oplus -> $\oplus$

\ominus -> $\ominus$

\otimes -> $\otimes$

\oslash -> $\oslash$

\leq -> $\le$

\geq -> $\ge$

\ll -> $\ll$

\gg -> $\gg$

\neq -> $\ne$

\equiv -> $\equiv$

\sim -> $\sim$

\cong -> $\cong$

\propto -> $\propto$

\approx -> $\approx$

\parallel -> $\parallel$

\perp -> $\perp$

\emptyset -> $\varnothing$

\angle -> $\angle$

\langle -> $⟨$

\rangle -> $⟩$

\lfloor -> $\lfloor$

\rfloor -> $\rfloor$

\lceil -> $\lceil$

\rceil -> $\rceil$

\infty -> $\infty$

\partial -> $\partial$

\prime -> $\prime$

\ell -> $\mathrm{\ell }$

\imath -> $ı$

\jmath -> $ȷ$

\surd -> $\surd$

\nabla -> $\nabla$

\forall -> $\forall$

\exists -> $\exists$

\neg -> $\neg$

\backslash -> $\backslash$

\prod -> $\prod$

\coprod -> $\coprod$

\dagger -> $†$

\ddagger -> $‡$

\aleph -> $\mathrm{\aleph }$

\sharp -> $♯$

\flat -> $♭$

\natural -> $♮$

\triangleleft -> $◃$

\triangleright -> $▹$

\bigtriangleup -> $△$

\bigtriangledown -> $▽$

\triangle -> $△$

\Box -> $\square$

\Diamond -> $◊$

\diamond -> $\diamond$

\clubsuit -> $♣$

\diamondsuit -> $♢$

\heartsuit -> $♡$

\spadesuit -> $♠$

矢印記号 ​

\leftarrow -> $\leftarrow$

\longleftarrow -> $⟵$

\uparrow -> $\uparrow$

\Leftarrow -> $\Leftarrow$

\Longleftarrow -> $⟸$

\Uparrow -> $\Uparrow$

\rightarrow -> $\to$

\longrightarrow -> $⟶$

\downarrow -> $\downarrow$

\Rightarrow -> $\Rightarrow$

\Longrightarrow -> $⟹$

\Downarrow -> $\Downarrow$

\leftrightarrow -> $\leftrightarrow$

\longleftrightarrow -> $⟷$

\updownarrow -> $\updownarrow$

\Leftrightarrow -> $\iff$

\Longleftrightarrow -> $⟺$

\Updownarrow -> $\Updownarrow$

\mapsto -> $\mapsto$

\longmapsto -> $⟼$

\nearrow -> $\nearrow$

\hookleftarrow -> $\hookleftarrow$

\hookrightarrow -> $\hookrightarrow$

\searrow -> $\searrow$

\leftharpoonup -> $\leftharpoonup$

\rightharpoonup -> $\rightharpoonup$

\swarrow -> $\swarrow$

\leftharpoondown -> $\leftharpoondown$

\rightharpoondown -> $\rightharpoondown$

\nwarrow -> $\nwarrow$

\rightleftharpoons -> $\rightleftharpoons$

基本的な数学記号 ​

\int -> $\int$ ->

$$\int$$

\int_{0}^{\infty} -> ∫​0​∞​​ ->

∫​0​∞​​

\sum -> $\sum$ ->

$$\sum$$

\sum_{n = 1}^{\infty} -> ∑​n=1​∞​​ ->

​n=1​∑​∞​​

\lim -> $\lim$ ->

$$\lim$$

\lim_{n \to -\infty} -> lim​n→−∞​​ ->

​n→−∞​lim​​

数式モードでの空白制御 ​

a\;b -> $ab$

a\:b -> $ab$

a\,b -> $ab$

a\!b -> $ab$

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

∫∫​G​​f(x,y)dxdy

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

∫∫​G​​f(x,y)dxdy

ギリシャ文字 ​

\Gamma -> $\mathrm{\Gamma }$

\Delta -> $\mathrm{\Delta }$

\Theta -> $\mathrm{\Theta }$

\Lambda -> $\mathrm{\Lambda }$

\Xi -> $\mathrm{\Xi }$

\Pi -> $\mathrm{\Pi }$

\Sigma -> $\mathrm{\Sigma }$

\Upsilon -> $\mathrm{{\rm Y}}$

\Phi -> $\mathrm{\Phi }$

\Psi -> $\mathrm{\Psi }$

\Omega -> $\mathrm{\Omega }$

\alpha -> $\alpha$

\beta -> $\beta$

\gamma -> $\gamma$

\delta -> $\delta$

\epsilon -> $ϵ$

\varepsilon -> $\epsilon$

\zeta -> $\zeta$

\eta -> $\eta$

\theta -> $\theta$

\vartheta -> $\vartheta$

\iota -> $\iota$

\kappa -> $\kappa$

\lambda -> $\lambda$

\mu -> $\mu$

\nu -> $\nu$

\xi -> $\xi$

\pi -> $\pi$

\varpi -> $\varpi$

\rho -> $\rho$

\varrho -> $\varrho$

\sigma -> $\sigma$

\varsigma -> $\varsigma$

\tau -> $\tau$

\upsilon -> $\upsilon$

\phi -> $\varphi$

\varphi -> $\phi$

\chi -> $\chi$

\psi -> $\psi$

\omega -> $\omega$

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 ->

(​z​​x​​)​2​​+(​z​​y​​)​2​​=1

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

f(x)={​x​​(x+1)(x+2)​​}

行列を書く ​

\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.

->

(​a​c​​​b​d​​)(​x​y​​)=0⟺{​ax​cx​​​+​+​​​by​dy​​​=​=​​​0​0​​