latex 常用数学符号(积分、大型运算符、上下标)

积分

符号	latex
$\underset{1}{\overset{3}{\int }}\frac{e^3/x}{x^2}dx$	\int\limits_{1}^{3}\frac{e^3/x}{x^2}\ dx
${\int }_1^3\frac{e^3/x}{x^2}dx$	\int_{1}^{3}\frac{e^3/x}{x^2}, dx
$\underset{-N}{\overset{N}{\int }}{e}^{x}dx$	\textstyle \int\limits_{-N}^{N} e^x dx
${\int }_{-N}^N{e}^{x}dx$	\textstyle \int_{-N}^{N} e^x dx
$\underset{D}{\iint }dxdy$	\iint\limits_D dx dy
$\underset{E}{\iiint }dxdydz$	\iiint\limits_E dxdydz
${\int }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$	\int_{(x,y)\in C} x^3, dx + 4y^2, dy
${\oint }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$	\oint_{(x,y)\in C} x^3, dx + 4y^2, dy

大型运算符

符号	latex
${\sum }_a^b$	\sum_{a}^{b}
${\prod }_a^b$	\prod_{a}^{b}
${\coprod }_a^b$	\coprod_{a}^{b}
${\bigcup }_a^b$	\bigcup_{a}^{b}
${\bigcap }_a^b$	\bigcap_{a}^{b}
${\bigvee }_a^b$	\bigvee_{a}^{b}
${\bigwedge }_a^b$	\bigwedge_{a}^{b}

上下标

类型	符号	latex
上标	$a^2{a}^{x+3}$	a^2a^{x+3}
下标	$a_j$	a_{j}
上下标混合	$x_2^3$	x_2^3
上下标混合	${x_2}^3$	{x_2}^3
多层上标	$10^{10^8}$	10^{10^{8}}
顶标底标	$\stackrel{\alpha }{\omega }$	\overset{\alpha}{\omega}
顶标底标	$\underset{\alpha }{\omega }$	\underset{\alpha}{\omega}
顶标底标	$\stackrel{\alpha }{\underset{\gamma }{\omega }}$	\overset{\alpha}{\underset{\gamma}{\omega}}
顶标底标	$\stackrel{\alpha }{\omega }$	\stackrel{\alpha}{\omega}
导数	$x^{\prime },y^{\prime \prime },f^{\prime },f^{\prime \prime }{x}^{\prime },y^{\prime \prime }$	x’, y’‘, f’, f’’ x^\prime, y^{\prime\prime}
导数点	$\dot{x},\ddot{x}$	\dot{x}, \ddot{x}
上下划线与向量	$\hat{a}\bar{b}c$	\hat a \ \bar b \ \vec c
上下划线与向量	$abcddef$	\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}
上下划线与向量	$\overline{ghi}\underline{jkl}$	\overline{g h i} \ \underline{j k l}
弧度	$\stackrel{⌢}{\mathrm{AB}}$	\overset{\frown} {AB}
箭头	$A\stackrel{n+\mu -1}{}B\underset{T}{\overset{n\pm i-1}{}}C$	A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C
大括号	$\stackrel{5050}{1+2+\cdots +100}$	\overbrace{ 1+2+\cdots+100 }^{5050}
大括号	$\underset{26}{a+b+\cdots +z}$	\underbrace{ a+b+\cdots+z }_{26}
求和运算	${\sum }_{k=1}^N{k}^2$	\sum_{k=1}^N k^2
求和运算	$\frac{{\sum }_{k=1}^N{k}^2}{a}$	\frac{\sum_{k=1}^N k^2}{a}
求和运算	$\frac{\sum _{k=1}^N{k}^2}{a}$	\frac{\displaystyle \sum_{k=1}^N k^2}{a}
求和运算	$\frac{\sum _{k=1}^{{}^N}{k}^2}{a}$	\frac{\sum\limits{N}_{k=1} k^2}{a}
乘积运算	${\prod }_{i=1}^N{x}_i$	\prod_{i=1}^N x_i
副乘运算	${\coprod }_{i=1}^N{x}_i$	\coprod_{i=1}^N x_i
极限	${\lim }_{n\to \infty }{x}_n$	\lim_{n \to \infty}x_n
极限	${\lim }_{n\to \infty }{x}_n$	\textstyle \lim_{n \to \infty}x_n
积分	$\underset{1}{\overset{3}{\int }}\frac{e^3/x}{x^2}dx$	\int\limits_{1}^{3}\frac{e^3/x}{x^2}\ dx
积分	${\int }_1^3\frac{e^3/x}{x^2}dx$	\int_{1}^{3}\frac{e^3/x}{x^2}\ dx
积分	$\underset{-N}{\overset{N}{\int }}{e}^{x}dx$	\textstyle \int\limits_{-N}^{N} e^x dx
积分	${\int }_{-N}^N{e}^{x}dx$	\textstyle \int_{-N}^{N} e^x dx
双重积分	$\underset{D}{\iint }dxdy$	\iint\limits_D dx dy
三重积分	$\underset{E}{\iiint }dxdydz$	\iiint\limits_E dx dy dz
路径积分	${\int }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$	\int_{(x,y)\in C} x^3 dx + 4y^2 dy
环路积分	${\oint }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$	\oint_{(x,y)\in C} x^3 dx + 4y^2 dy
交集	${\bigcap }_{i=1}^n{E}_i$	\bigcap_{i=1}^n E_i
并集	${\bigcup }_{i=1}^n{E}_i$	\bigcup_{i=1}^n E_i