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目录行内与独行行内公式独行公式上标、下标与组合上标下标上下标组合汉字、字体与格式汉字形式字体控制下划线符号标签上大括号下大括号上位符号占位符两个 quad 空格quad 空格大空格中空格小空格贴紧无空格界定符与组合括号中括号大括号自适应括号组合公式四则运算加减加减运算减加运算乘叉乘点乘星乘除除号斜杠除分式绝对值高级运算平均数开方开平方开多次方对数极限求和积分微分矩阵逻辑运算大于、小于和等于大于大于等于小于小于等于等于不等于不大于等于、不小于等于不大于等于不小于等于约等于恒等于集合运算属于、不属于属于不属于子集运算子集非子集真子集非真子集集合布尔运算交集并集差集同或运算同与运算常用数集空集数学符号无穷虚数向量符号导数一阶导数二阶导数箭头上箭头双线上箭头下箭头双线下箭头左箭头双线左箭头右箭头双线右箭头省略号低端对齐中线对齐垂直对齐斜对齐其他数学符号āáǎàâ$\breve{a}$ãå希腊字母
行内与独行
行内公式
将公式插入到本行内
$公式内容$
\inline
例:坐标轴 ![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135349117-159501400.png)
$xOy$
独行公式
公式单独占用一行
$$公式内容$$
\displaystyle
例:等差数列求和公式:
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135419581-1474916726.png)
$$S_n = \frac{1}{2}n(a_1 + a_n) = na_1 + \frac{n(n-1)}{2}d, n\in N^*$$
上标、下标与组合
上标
$底数^指数$
$y = x^2$
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135443547-1237640263.png)
$y=x^2$
下标
$CuSO_4·5H_2O$
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135457565-1318376892.png)
$CuSO_4·5H_2O$
上下标组合
例:等比数列求和公式:
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135516353-147819992.png)
$$S_n = na_1 (q=1)$$
$$S_n = \frac{a_1 (1 - q^n)}{1-q} (q\neq1)$$
汉字、字体与格式
汉字形式
\mbox{}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135530350-1759414323.png)
$V_{\mbox{升}}$
字体控制
不加此内容,公式会缩至与文字同高。加此内容,公式会以原大小显示。
\displaystyle
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135816919-1670168488.png)
$\displaystyle \frac{x+y}{y+z}$
$\frac{x+y}{y+z}$
下划线符号
\underline
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135847875-7309157.png)
$\underline{x+y}$
标签
\tag{数字}
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135901398-1853346454.png)
$\tag{69}$
上大括号
\overbrace{算式}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135918421-859338730.png)
$\overbrace{a+b+c}^{2.0}$
下大括号
\underbrace{算式}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901135933030-1222780150.png)
$a+\underbrace{b+c}_{1.0}+d$
上位符号
\stacrel{上位符号}{基位符号}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140010893-18937460.png)
$\vec{x}\stackrel{\mathrm{def}}{=}{x_1,\dots,x_n}$
占位符
两个 quad 空格
\qquad
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140024739-143711231.png)
$x\qquad y$
quad 空格
\quad
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140037673-967611782.png)
$x\quad y$
大空格
\
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140048625-736602768.png)
$x \ y$
中空格
\:
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140100578-1879998212.png)
$x \: y$
小空格
\,
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140111094-1455447030.png)
$x \, y$
贴紧
\!
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140120501-995519862.png)
$x \! y$
无空格
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140133285-1030042921.png)
$xy$
界定符与组合
括号
\big(算式\big)
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140149580-2076416409.png)
$() \big(\big)$
中括号
[]
\left[ \right]
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140218377-2130810165.png)
$[x + y]$
$\left[ abc \right]$
第二种中括号可以跨行,例如矩阵左右两边的中括号
大括号
\{算式\}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140229712-954970496.png)
$\{x + y\}$
自适应括号
\left(算式 \right)
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140239956-647046614.png)
$\left(xyz\right)$
组合公式
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140352757-1776094474.png)
${n+1 \choose k}={n \choose k}+{n \choose k-1}$
$\sum_{k_0,k_1,\ldots>0 \atop k_0+k_1+\cdots=n}A_{k_0}A_{k_1}\cdots$
四则运算
加
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140412528-800465065.png)
$x+y=z$
减
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140424310-1508376556.png)
$x-y=z$
加减运算
\pm
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140438809-331895415.png)
$x \pm y = z$
减加运算
\mp
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140455069-1121791582.png)
$x \mp y = z$
乘
叉乘
\times
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140511170-1956862419.png)
$x \times y = z$
点乘
\cdot
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140526536-1103737936.png)
$x \cdot y = z$
星乘
\ast
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140536712-1621905892.png)
$x \ast y = z$
除
除号
\div
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140549800-148826746.png)
$x \div y = z$
斜杠除
x/y
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140604369-1339939972.png)
$x / y = z$
分式
\frac{分子}{分母}
{分子}\over{分母}
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140630648-855106215.png)
$\frac{x+y}{y+z}$
${x+y}\over{y+z}$
绝对值
|算式|
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140640866-1714213583.png)
$y = |x|$
高级运算
平均数
\overline{算式}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140653506-850526147.png)
$\overline{xyz}$
开方
开平方
\sqrt
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140705279-623213231.png)
$\sqrt x$
开多次方
\sqrt[开方数]{被开方数}
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140714967-655169582.png)
$\sqrt[3]{x+y}$
对数
\log
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140723988-854431695.png)
$\log_5{x}$
极限
\lim
\displaystyle \lim
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140738837-840035544.png)
$\lim^{x \to \infty}_{y \to 0}{\frac{x}{y}}$
$\displaystyle \lim^{x \to \infty}_{y \to 0}{\frac{x}{y}}$
求和
\sum
\displaystyle \sum
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140751686-1305894721.png)
$\sum^{x \to -\infty}_{y \to 0}{\frac{x}{y}}$
$\displaystyle \sum^{x \to -\infty}_{y \to 0}{\frac{x}{y}}$
积分
\int
\displaystyle \int
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140803500-785716155.png)
$\int^{\infty}_{0}{xdx}$
$\displaystyle \int^{\infty}_{0}{xdx}$
微分
\partial
\displaystyle \partial
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140815920-119886306.png)
$\frac{\partial x}{\partial y}$
$\displaystyle \frac{\partial x}{\partial y}$
矩阵
\begin{matrix} \end{matrix}
例:
![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140831308-1087469718.png)
$$\left[ \begin{matrix} 1 & 2 & \cdots & 5 & 6 & \cdots & 9 & 10 \\ \vdots & \vdots & \cdots & \vdots & \vdots & \cdots & \cdots & \ddots \\ a & b & \cdots & e & f & \cdots & i & j \end{matrix} \right]$$
逻辑运算
大于、小于和等于
大于
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140841564-538862488.png)
$x+y>z$
大于等于
\geq
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901140850155-763800603.png)
$x+y \geq z$
小于
例:![](https://img2018.cnblogs.com/blog/1410667/201909/1410667-20190901142230803-603969653.png)
$x+y |