Latex语法速查

字母

希腊字母表

小写	大写	变体
$\alpha$ \alpha	$\mathrm{A}$ \Alpha
$\beta$\beta	$\mathrm{B}$\Beta
$\chi$\chi	$\mathrm{X}$\Chi
$\delta$\delta	$\Delta$\Delta
$ϵ$\epsilon	$\mathrm{E}$\Epsilon	$\epsilon$ \varepsilon
$\eta$\eta	$\mathrm{H}$\Eta
$\gamma$\gamma	$\Gamma$\Bamma
$\iota$\iota	$\mathrm{I}$\Iota
$\kappa$\kappa	$\mathrm{K}$\Kappa	$\varkappa$\varkappa
$\lambda$\lambda	$\Lambda$\Lambda
$\mu$\mu	$\mathrm{M}$\Mu
$\nu$\nu	$\mathrm{N}$\Nu
$o$o	$O$O
$\omega$\omega	$\Omega$\Omega
$\varphi$\phi	$\Phi$\Phi	$\phi$\varphi
$\pi$\pi	$\Pi$\Pi	$\varpi$\varpi
$\psi$\psi	$\Psi$\Psi
$\rho$\rho	$\mathrm{P}$\Rho	$\varrho$\varrho
$\sigma$\sigma	$\Sigma$\sigma	$\varsigma$\varsigma
$\tau$\tau	$\mathrm{T}$\tau
$\theta$\theta	$\Theta$\Theta	$\vartheta$\vartheta
$\upsilon$\upsilon	${\rm Y}$\Upsilon
$\xi$\xi	$\Xi$\Xi
$\zeta$\zeta	$\mathrm{Z}$\Zeta

数学常用字体

$$\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$$

 \mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}

$$\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$$

 \mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}

$$\mathcal{A}\mathcal{BC}\mathcal{D}\mathcal{EFGH}\mathcal{I}\mathcal{J}\mathcal{K}\mathcal{LM}\mathcal{N}\mathcal{O}\mathcal{P}\mathcal{Q}\mathcal{R}\mathcal{S}\mathcal{T}\mathcal{U}\mathcal{V}\mathcal{W}\mathcal{X}\mathcal{Y}\mathcal{Z}$$

\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}

算数

运算符号

名称

四则运算：\times $\times$ \div $÷$

正负：\pm $\pm$ \mp $\mp$

点积： $\cdot$\cdot

相等： $=$ = $\ne$ \ne $\approx$\approx $\sim$\sim $\equiv$\equiv

大小：$\ge$ \geq $\le$ \geq

集合

集合符号：\in $\in$ \subset $\subset$ \subseteq $\subseteq$\nsubseteq $⊈$

$\varnothing$\emptyset

$A\cup B$A \cup B $A\cap B$A \cap B

逻辑符号

$\forall$\forall $\exists$\exists $\nexists$\nexists

函数

分段函数

$$f(z)=\{\begin{array}{rcl}{z}^2+\cos z& \text{for}& |z|<3\\ 0& \text{for}& 3\le |z|\le 5\\ \sin z& \text{for}& |z|>5\end{array}$$

f(z) = \left\{ \begin{array}{rcl}
         z^2+\cos z
           & \text{for} & |z|<3 \\ 
         0  
           & \text{for} & 3\leq|z|\leq5 \\
         \sin z
           & \text{for} & |z|>5
\end{array}\right

矢量代数

$\overrightarrow{AB}$ \overrightarrow{AB}

$⟨\overrightarrow{AB},\overrightarrow{CD}⟩$ \langle \overrightarrow{AB} , \overrightarrow{CD} \rangle

线性代数

方程组

$$\begin{array}{rl}2x-5y& =8\\ 3x+9y& =-12\end{array}$$

\begin{align*} 
2x - 5y &=  8 \\ 
3x + 9y &=  -12
\end{align*}

$$\begin{array}{rlrlrl}x& =y& w& =z& a& =b+c\\ 2x& =-y& 3w& =\frac{1}{2}z& a& =b\\ -4+5x& =2+y& w+2& =-1+w& ab& =cb\end{array}$$

\begin{align*}
x&=y           &  w &=z              &  a&=b+c\\
2x&=-y         &  3w&=\frac{1}{2}z   &  a&=b\\
-4 + 5x&=2+y   &  w+2&=-1+w          &  ab&=cb
\end{align*}

矩阵

$$\begin{array}{ccc}1& 2& 3\\ a& b& c\end{array}$$

\begin{matrix}
1 & 2 & 3\\
a & b & c
\end{matrix}

$$\left[\begin{array}{ccr}3& 4& 5\\ 1& 3& 9\end{array}\right]$$

 \left[ \begin{array}{cc|r}
3 & 4 & 5 \\ 
1 & 3 & 9 
\end{array} \right]

$$\left|\begin{array}{ccccc}k& \lambda & \lambda & \cdots & \lambda \\ \lambda & k& \lambda & \cdots & \lambda \\ \lambda & \lambda & k& \cdots & \lambda \\ ⋮& ⋮& ⋮& & ⋮\\ \lambda & \lambda & \lambda & \cdots & k\end{array}\right|$$

\begin{vmatrix}
k & \lambda & \lambda&  \cdots & \lambda \\
\lambda & k & \lambda & \cdots & \lambda  \\
\lambda & \lambda & k & \cdots & \lambda\\
\vdots & \vdots & \vdots &  & \vdots  \\
\lambda & \lambda & \lambda & \cdots & k\\
\end{vmatrix}

微积分

极限

$$\underset{h\to 0}{\lim }\frac{f(x+h)-f(x)}{h}$$

  \lim_{h \to 0 } \frac{f(x+h)-f(x)}{h}

微分

偏微分

$\frac{\partial f}{\partial x}$$\frac{{\partial }^{2}f}{\partial x^2}$

 $\sum\limits_{j=1}^k A_{\alpha_j}$

$\int$\int $\iint$\iint $\iiint$ \iiint $\oint$\oint

$ \int f^{-1}(x-x_a),dx$ \int f^{-1}(x-x_a),dx

$\sum$\sum $\prod$\prod

$$\iint \iiint$$

$$\int f^{-1}(x-x_a)dx$$

$$\left(\genfrac{}{}{0ex}{}{n}{k}\right)=\frac{n!}{k!(n-k)!}$$

积分

$$\begin{gathered} {\int }_C(2+x^{2}y)ds={\int }_0^{\pi }(2+{\cos }^{2}t\sin t)\sqrt{{\sin }^{2}t+{\cos }^{2}t}dt \\ ={\left[2t-\frac{{\cos }^{3}t}{3}\right]}_0^{\pi } \end{gathered}$$

\int_C(2 + x^2y) \, ds 
=  \int_0^\pi (2 + \cos^2 t \sin t)\sqrt{\sin^2 t + \cos^2 t} \, dt \\
=\left[2t - \frac{\cos^3 t}{3} \right]_0^\pi