latex常用符号
博客园公式测试
显示latex格式的公式需要加美元号$，例如$\beta$显示的结果为$\beta$，如果单独一行的公式可用双美元符号，例如$$a+b=c$$会单独成行
$$a+b=c$$
这里采用的katex渲染, 需要注意的是博客园的katex公式换行符需要四个
\\\\, 并且公式不可以随便换行
0.常用公式
| $x=\frac{-b\mp\sqrt{b^2-4ac}}{2a}$ | x=\frac{-b\mp\sqrt{b^2-4ac}}{2a} |
| $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$ | x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} |
| $n! = 1\times2\times3\cdots\times n$ | n! = 1\times2\times3\cdots\times n |
| $\oint f(s)\mathrm{d}s$ | \oint f(s)\mathrm{d}r |
| $\displaystyle\oint f(s)\mathrm{d}s$ | \displaystyle\oint f(s)\mathrm{d}s |
| $\displaystyle\int_{-1}^{+\infty} f(x)\mathrm{d}x$ | \displaystyle\int_{-1}^{+\infty} f(x)\mathrm{d}x |
| $\displaystyle\iint f({\boldsymbol x})\mathrm{d}{\boldsymbol x}$ | \displaystyle\iint f({\boldsymbol x})\mathrm{d}{\boldsymbol x} |
| $\left|\sum_{i=1}^{p+1} \right|$ | \left|\sum_{i=1}^{p+1}\right| |
| $\left|\displaystyle\sum_{i=1}^{p+1} \right|$ | \left|\displaystyle\sum_{i=1}^{p+1} \right| |
| $\Big\Vert\displaystyle\sum_{i=1}^{p+1}\bigg\Vert$ | \Big\Vert\displaystyle\sum_{i=1}^{p+1}\bigg\Vert |
| $\nabla\cdot\nabla u = \Delta u$ | \nabla\cdot\nabla u = \Delta u |
| ${a+b \choose a+b+c}$ | {a+b \choose a+b+c} |
| $\left({}_{a+b+c}^{a+b}\right)$ | \left({}_{a+b+c}^{a+b}\right) |
| ${a+b \atop a+b+c}$ | {a+b \atop a+b+c} |
| $C_{a+b+c}^{a+b}$ | C_{a+b+c}^{a+b} |
| $\min\limits^{x\in\mathcal{R}}f(x)$ | \min\limits^{x\in\mathcal{R}}f(x) |
| $\max\limits_{x\in\mathcal{R}}f(x)$ | \max\limits_{x\in\mathcal{R}}f(x) |
$\dfrac{\mathrm{d}u}{\mathrm{d}t}=\dfrac{\partial u}{\partial x}\dfrac{\partial x}{\partial t} + \dfrac{\partial u}{\partial y}\dfrac{\partial y}{\partial t}$
\dfrac{\mathrm{d}u}{\mathrm{d}t}
=
\dfrac{\partial u}{\partial x}\dfrac{\partial x}{\partial t}
+
\dfrac{\partial u}{\partial y}\dfrac{\partial y}{\partial t}
1.希腊字母
| $\alpha$ | \alpha | $\theta$ | \theta | $o$ | o | $\tau$ | \tau | |||
| $\beta$ | \beta | $\vartheta$ | \vartheta | $\pi$ | \pi | $\upsilon$ | \upsilon | |||
| $\gamma$ | \gamma | $\iota$ | \iota | $\varpi$ | \varpi | $\phi$ | \phi | |||
| $\delta$ | \delta | $\kappa$ | \kappa | $\rho$ | \rho | $\varphi$ | \varphi | |||
| $\epsilon$ | \epsilon | $\lambda$ | \lambda | $\varrho$ | \varrho | $\chi$ | \chi | |||
| $\varepsilon$ | \varepsilon | $\mu$ | \mu | $\sigma$ | \sigma | $\psi$ | \psi | |||
| $\zeta$ | \zeta | $\nu$ | \nu | $\varsigma$ | \varsigma | $\omega$ | \omega | |||
| $\eta$ | \eta | $\zeta$ | \zeta | |||||||
| $\Gamma$ | \Gamma | $\Lambda$ | \Lambda | $\Sigma$ | \Sigma | $\Psi$ | \Psi | |||
| $\Delta$ | \Delta | $\Xi$ | \Xi | $\Upsilon$ | \Upsilon | $\Omega$ | \Omega | |||
| $\Theta$ | \Theta | $\Pi$ | \Pi | $\Phi$ | \Phi | |||||
| $\aleph$ | \aleph | $\beth$ | \beth | $\daleth$ | \daleth | $\gimel$ | \gimel |
2.数学相关
| $\dfrac{abc}{xyz}$ | \dfrac{abc} | $\frac{abc}{xyz}$ | \frac{abc} | $\overline{abc}$ | \overline | ||
| $\sqrt{abc}$ | \sqrt | $\sqrt[n]{abc}$ | \sqrt[n] | $\underline{abc}$ | \underline | ||
| $\widehat{abc}$ | \widehat | $\widetilde{abc}$ | \widetilde | $\overrightarrow{abc}$ | \overrightarrow | ||
| $\overleftarrow{abc}$ | \overleftarrow | $\overbrace{abc}$ | \overbrace | $\underbrace{abc}$ | \underbrace | ||
| $\overset{\frown} {ab}$ | \overset{\frown} | $\overgroup{AB}$ | \overparen |
注：头顶的弧盖\overparen{ab}用于$\LaTeX$, \overgroup{AB}$\overgroup{AB}$用于$\KaTeX$
3.分割符号
| $\vert$ | \vert | $\langle$ | \langle | $\lfloor$ | \lfoolr | $\lceil$ | \lceil | |||
| $\Vert$ | \Vert | $\rangle$ | \rangle | $\rfloor$ | \rfloor | $\rceil$ | \rceil | |||
| $\Uparrow$ | \Uparrow | $\uparrow$ | \uparrow | $\Downarrow$ | \Downarrow | $\downarrow$ | \downarrow | |||
| $\llcorner$ | \llcorner | $\lrcorner$ | \lrcorner | $\ulcorner$ | \ulcorner | $\urcorner$ | \urcorner | |||
| $/$ | / | $\backslash$ | \backslash |
4.可变公式
| $\sum$ | \sum | $\prod$ | \prod | $\coprod$ | \coprod | ||
| $\int$ | \int | $\oint$ | \ont | $\iint$ | \iint | ||
| $\biguplus$ | \biguplus | $\bigcap$ | \bigcap | $\bigcup$ | \bigcup | ||
| $\bigoplus$ | \bigoplus | $\bigotimes$ | \bigotimes | $\bigodot$ | \bigodot | ||
| $\bigvee$ | \bigvee | $\bigwedge$ | \bigwedge | $\bigsqcup$ | \bigsqcup |
5.数学函数
只需要在常用数学函数前加上斜杠\即可
$\sin, \cos, \tan, \exp, \min, \max, \log, \ln, \lim, \cdots$
$\sin, \cos, \tan, \exp, \min, \max, \log, \ln, \lim, \cdots$
6.运算符号
| $+$ | + | $-$ | - | $\times$ | \times | $\div$ | \div | |||
| $\ast$ | \ast | $\star$ | \star | $\cdot$ | \cdot | $\circ$ | \circ | |||
| $\pm$ | \pm | $\mp$ | \mp | $\oplus$ | \oplus | $\otimes$ | \otimes | |||
| $\divideontimes$ | \divideontimes | $\centerdot$ | \centerdot | $\odot$ | \odot | $\circledcirc$ | \circledcirc | |||
| $\cap$ | \cap | $\cup$ | \cup | $\vee$ | \vee | $\wedge$ | \wedge | |||
| $\bot$ | \bot | $\perp$ | \perp | $\setminus$ | \setminus | $\backslash$ | \backslash | |||
| $\Box$ | \Box | $\square$ | \square | $\wr$ | \wr | $\boxplus$ | \boxplus | |||
| $\triangle$ | \triangle | $\bigtriangledown$ | \bigtriangledown | $\Delta$ | \Delta | $\nabla$ | \nabla | |||
| $\equiv$ | \equiv | $\neq$ | \neq | $\sim$ | \sim | $\approx$ | \approx | |||
| $\triangleq$ | \triangleq | $\varpropto$ | \varpropto | $\ll$ | \ll | $\lll$ | \lll | |||
| $\leq$ | \leq | $\geq$ | \geq | $\leqslant$ | \leqslant | $\geqslant$ | \geqslant | |||
| $\in$ | \in | $\notin$ | \notin | $\prec$ | \prec | $\succ$ | \succ | |||
| $\subset$ | \subset | $\subseteq$ | \subseteq | $\supset$ | \supset | $\supseteq$ | \supseteq | |||
| $\supseteqq$ | \supseteqq | $\subseteqq$ | \subseteqq | $\nsubseteq$ | \nsubseteq | $\nsubseteqq$ | \nsubseteqq | |||
| $\subsetneq$ | \subsetneq | $\subsetneqq$ | \subsetneqq | $\supsetneq$ | \supsetneq | $\supsetneqq$ | \supsetneqq | |||
| $\complement$ | \complement | $\cong$ | \cong | ≌ | \text | ∽ | \text |
相似全等符号$\text{≅∼≌∽}$可以直接输入，建议用\text{≅∼≌∽}
也可以组合 $\begin{matrix} \sim\[-0.8em]= \end{matrix}$ ，\begin{matrix} \sim\\[-0.8em]= \end{matrix}
7.其它符号
| $\because$ | \because | $\therefore$ | \therefore | $//$ | // |
$\perp$ | \perp | |||
| $\triangle$ | \triangle | $\square$ | \square | $\text{▱}$ | \text{▱} |
${}_{=}^{//}$ | {}_{=}^{//} |
|||
| $\infty$ | \infty | $\angle$ | \angle | $\measuredangle$ | \measuredangle | $\sphericalangle$ | \sphericalangle | |||
| $\forall$ | \foall | $\exist$ | \exist | $\varnothing$ | \varnothing | $\emptyset$ | \emptyset | |||
| $\partial$ | \partial | $\prime$ | \prime | $\hbar$ | \hbar | $\surd$ | \surd | |||
| $\cdots$ | \cdots | $\vdots$ | \vdots | $\ldots$ | \ldots | $\ddots$ | \ddots | |||
| $\Im$ | \Im | $\Re$ | \Re | $\lozenge$ | \lozenge | $\mho$ | \mho | |||
| $\spadesuit$ | \spadesuit | $\heartsuit$ | \heartsuit | $\clubsuit$ | \clubsuit | $\diamondsuit$ | \diamondsuit | |||
| $\copyright$ | \copyright | $\circledS$ | \circledS | $\circledR$ | \circledR | $\pounds$ | \pounds | |||
| $ | \$ |
$%$ | \% |
$#$ | \# |
~ | \~{} |
|||
| $\imath$ | \imath | $\jmath$ | \jmath | $\ell$ | \ell |
注1：平行四边形符号
▱并不是内置的latex符号而是特殊字符
注2：$//$与${}_{=}^{//}$是组合生成，并非内置
8.箭头合集
| $\rightarrow$ | \rightarrow | $\longrightarrow$ | \longrightarrow | $\Rightarrow$ | \Rightarrow |
| $\Longrightarrow$ | \Longrightarrow | $\leftarrow$ | \leftarrow | $\longleftarrow$ | \longleftarrow |
| $\Leftarrow$ | \Leftarrow | $\Longleftarrow$ | \Longleftarrow | $\nearrow$ | \nearrow |
| $\searrow$ | \searrow | $\swarrow$ | \swarrow | $\nwarrow$ | \nwarrow |
| $\mapsto$ | \mapsto | $\longmapsto$ | \longmapsto | $\rightsquigarrow$ | \rightsquigarrow |
| $\rightrightarrows$ | \rightrightarrows | $\leftrightarrow$ | \leftrightarrow | $\longleftrightarrow$ | \longleftrightarrow |
| $\Leftrightarrow$ | \Leftrightarrow | $\Longleftrightarrow$ | \Longleftrightarrow | $\rightleftharpoons$ | \rightleftharpoons |
| $\leftrightarrows$ | \leftrightarrows | $\leftrightharpoons$ | \leftrightharpoons | $\rightleftarrows$ | \rightleftarrows |
| $\circlearrowleft$ | \circlearrowleft | $\circlearrowright$ | \circlearrowright | $\nLeftarrow$ | \nLeftarrow |
| $\nRightarrow$ | \nRightarrow | $\nLeftrightarrow$ | \nLeftrightarrow | $\leftrightsquigarrow$ | \leftrightsquigarrow |
| $\dashrightarrow$ | \dashrightarrow | $\dashleftarrow$ | \dashleftarrow |
9.帽子标记
| $\bar{a}$ | \bar | $\acute{a}$ | \acute | $\check{a}$ | \check | $\grave{a}$ | \grave | |||
| $\dot{a}$ | \dot | $\hat{a}$ | \hat | $\breve{a}$ | \breve | $\vec{a}$ | \vec | |||
| $\ddot{a}$ | \ddot | $\tilde{a}$ | \tilde |
10.数学样式
\mathcal{A}
$\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathbb{A}
$\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathfrak{A}
$\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathsf{A}
$\mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathscr{A}
$\mathscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathrm{A}
$\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathit{A}
$\mathit{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathnormal{A}
$\mathnormal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\mathbf{A}
$\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\textbf{A} 文本样式粗体
$\textbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\text{A} 文本样式
$\text{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\bm{A}
$\bm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\boldsymbol{A}
$\boldsymbol{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
11.大小颜色
| ${\color{red}123} {\color{blue}456} {\color{green}789}$ | {\color{red}123} {\color{blue}456} {\color{green}789} |
| $\tiny{abc}$ | \tiny{abc} |
| $\scriptsize{abc}$ | \scriptsize{abc} |
| $\footnotesize{abc}$ | \footnotesize{abc} |
| $\small{abc}$ | \small{abc} |
| $\normalsize{abc}$ | \normalsize{abc} |
| $\large{abc}$ | \large{abc} |
| $\Large{abc}$ | \Large{abc} |
| $\LARGE{abc}$ | \LARGE{abc} |
| $\huge{abc}$ | \huge{abc} |
| $\Huge{abc}$ | \Huge{abc} |
| $\left[ \Bigg( \bigg( \Big[ \big( \right.$ | \left[ \Bigg( \bigg( \Big[ \big( \right. |
| $\left\{\right\}$ | \left\{\right\} |
注：
\left与\right成对出现，缺省可用.补充，它会自动设置大小
13.多行公式
多行公式常用的两环境有cases与aligned
$\begin{cases}x+y=1\\ x-y=1 \end{cases},\qquad\begin{aligned}&\int_{-\infty}^{+\infty}f(x)\mathrm{d}x\\ &\sum_{k=0}^n k\end{aligned}$
\begin{cases}
x+y=1\\
x-y=1
\end{cases},
\qquad % %后面是接注释，\qquaa表示空格
\begin{aligned}
&\int_{-\infty}^{+\infty}f(x)\mathrm{d}x\\[.5em]
&\sum_{k=0}^n k
\end{aligned}
% &字符号表示对齐，\\另起一行, \\[.5em]里面的.5表示行高
矩阵格式
$\left(\begin{matrix}1&2&3\\ 4&5&6\\ 7&8&9\end{matrix}\right),\qquad\left|\begin{matrix}a&b\\ c&d\end{matrix}\right|,\qquad\begin{matrix}a&b\\ c&d \\ e&f \end{matrix}$
\left(\begin{matrix}
1&2&3\\
4&5&6\\
7&8&9
\end{matrix}\right)
,\qquad
\left|
\begin{matrix}
a&b\\
c&d
\end{matrix}\right|
,\qquad
\begin{matrix}
a&b\\
c&d \\
e&f
\end{matrix}
14.间距微调
间距紧凑：\!
| $x+y$ | x+y |
| $x!+y$ | x\!+y |
| $x!!+y$ | x\!\!+y |
间距拉开：\, \; \quad \qquad
| $x+y$ | x+y |
| $x+,y$ | x+\,y |
| $x+;y$ | x+\;y |
| $x+\quad y$ | x+\quad y |
| $x+\qquad y$ | x+\qquad y |
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本文来源 https://kz16.top/latex/symbol