LaTeX 数学符号公式
1.希腊字母¶
\[
\alpha, \beta, \gamma, \delta, \epsilon, \zeta
\]
\[
\eta, \theta, \iota, \kappa, \lambda, \mu
\]
\[
\nu, \xi, \omicron, \pi, \rho, \sigma
\]
\[
\tau, \upsilon, \phi, \chi, \psi, \omega
\]
\[
\Alpha, \Beta, \Gamma, \Delta, \Epsilon, \Zeta
\]
\[
\Eta, \Theta, \Iota, \Kappa, \Lambda, \Mu
\]
\[
\Nu, \Xi, \Omicron, \Pi, \Rho, \Sigma
\]
\[
\Tau, \Upsilon, \Phi, \Chi, \Psi, \Omega
\]
\[
\varepsilon, \vartheta, \varpi, \varrho, \varsigma, \varphi
\]
2.上标、下标¶
\[
x^a,
x_a,
x^b_a,
{}_cx_a^b,
{}^cx_a^b,
{}_c^dx_a^b
\]
3.根号¶
\[
\sqrt{x^2+y^2}, \sqrt[n]{x}
\]
4.分式¶
\[
\frac {2xy}{x^2+y^2}
\]
5.对数¶
\[
\ln a, \lg b, \log c, \log_{d}f
\]
6.三角函数¶
\[
\sin a, \cos b, \tan c, \cot d, \sec e, \csc f
\]
7.极限¶
\[
\lim_{x \to \infty} \frac{1}{n}
\]
8.微分及导数¶
\[
dt, \mathrm{d}t, \partial t, \nabla\psi
\]
\[
\frac{dy}{dx},
\frac{\partial^2}{\partial x_1\partial x_2}y
\]
\[
f', f'', f^{(3)}, \dot y, \ddot y, \dddot y
\]
9.积分¶
\[
\int_0^\infty e^{-x} dx ,
\underset{(x,y)\in \triangle}{\iint} e^{x+y} dxdy,
\iint \limits_{(x,y)\in \triangle} e^{x+y} dxdy,
\iiint e^{x+y+z} dxdydz
\]
\[
\oint Pdx+Qdy, \idotsint
\]
10.运算符¶
\[
+, -, \pm, \mp
\]
\[
\times, \cdot, \div, /, \backslash
\]
11.模运算¶
\[
\mid, \nmid
\]
\[
s_k \equiv 0 \pmod{m}
\]
12.集合¶
\[
\{ \}, \vert , \Vert, \O \empty, \varnothing, \mathbb{R}, \dots
\]
\[
\in, \not\in, \ni, \not\ni
\]
\[
\cap, \cup, \setminus \\
\subset, \supset \\
\subseteq, \supseteq \\
\subsetneqq, \supsetneqq
\]
\[
\bigodot, \bigotimes, \bigoplus
\]
13.关系符号¶
\[
=, \ne \neq, \equiv, \not\equiv, \triangleq
\]
\[
\sim, \simeq, \cong, \ncong
\]
\[
<, \ll, >, \gg, \leq, \geq
\]
14.集合符号¶
\[
\parallel, \nparallel, \perp, \angle, \triangle, {}^\circ
\]
15.逻辑符号¶
\[
\forall, \exists \\
\because, \therefore \\
\neg, \and, \or
\]
16.箭头¶
\[
\Rightarrow, \nRightarrow, \Longrightarrow \\
\Leftarrow, \nLeftarrow, \Longleftarrow \\
\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \\
\rightleftharpoons, \leftrightharpoons
\]
17.标注¶
\[
\vec{x}, \bar{x}, \hat{x}, \tilde{x},
\overrightarrow{AB}, \overline{AB}, \underline{AB}, \widehat{AB}, \widetilde{AB}
\]
18.求和求积¶
\[
\sum_{k=1}^N k^2,\prod_{i=1}^N x_i
\]
19.二项式系数¶
\[
\binom{n}{r}={\rm C}^r_n
\]
20.矩阵¶
\[
\begin{matrix}
a & b \\
c & d
\end{matrix}
\]
\[
\begin{vmatrix} m \end{vmatrix},
\begin{Vmatrix} m \end{Vmatrix},
\begin{bmatrix} m \end{bmatrix},
\begin{Bmatrix} m \end{Bmatrix},
\begin{pmatrix} m \end{pmatrix}
\]
\[
\begin{bmatrix}
0 & \cdots & 0 \\
\vdots & \ddots & \vdots \\
0 & \cdots & 0
\end{bmatrix}
\]
21.方程组¶
\[
\begin{cases}
3x + 5y + z \\
7x - 2y + 4z \\
-6x + 3y + 2z
\end{cases}
\]
22.条件表达式¶
\[
f(n) =
\begin{cases}
n/2, & \text{if $n$ is even} \\
3n+1, & \text{if $n$ is odd}
\end{cases}
\]
23.多行等式¶
\[
\begin{aligned}
f(x) & = (m+n)^2 \\
& = m^2+2mn+n^2 \\
\end{aligned}
\]
24.数组与表格¶
\[
\begin{array}{c|lcr}
n & \text{左对齐} & \text{居中对齐} & \text{右对齐} \\
\hline
1 & 0.24 & 1 & 125 \\
2 & -1 & 189 & -8 \\
3 & -20 & 2000 & 1+10i
\end{array}
\]
\[
\left[
\begin{array}{cc|c}
1&2&3\\
4&5&6
\end{array}
\right]
\]
25.自动匹配长度的括号¶
\[
\left( \frac{a}{b} \right),
\left[ \frac{a}{b} \right],
\left\{ \frac{a}{b} \right\},
\left< \frac{a}{b} \right>,
\left| \frac{a}{b} \right|,
\left\| \frac{a}{b} \right\|,
\left \lfloor \frac{a}{b} \right \rfloor,
\left\{ \frac{a}{b} \right.
\]