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加减

a+b=$a+b$, a-b=$a-b$,  a\times b=$a\times  b$, a\div b=$a\div b$

a\cdot b = $a\cdot b$

幂运算

a^x=$a^x$, a^{xyz}=$a^{xyz}$, \sqrt{x}=$\sqrt{x}$, \sqrt[n]{x}=$\sqrt[n]{x}$

逻辑运算

\oplus=$\oplus$, \vee=$\vee$, \wedge=$\wedge$

绝对值，

\left| x \right| =$\left| x \right|$

反斜杠：\backslash=$\backslash$

分式

\frac{x]{y}=$\frac{x}{y}$

其他运算

\iint=$\iint$,\iiint=$\iiint$,\iiiint=$\iiiint$,\oint=$\oint$

{\circ\kern-8pt\int\kern-6.5pt\int}=${\circ\kern-8pt\int\kern-6.5pt\int}$

{{\circ}\kern-7pt{\int}\kern-5pt{\int}\kern-5pt{\int}}=${{\circ}\kern-7pt{\int}\kern-5pt{\int}\kern-5pt{\int}}$

\sum = $\sum$, \int = $\int$, \oint = $\oint$, \prod=$\prod$

\pm=$\pm$, \mp=$\mp$, \triangleleft=$\triangleleft$, \triangleright=$\triangleright$

\setminus=$\setminus$, \star=$\star$, \cup=$\cup$ ,\cap=$\cap$, \ast=$\ast$, \sqcup=$\sqcup$

\sqcap=$\sqcap$, \circ=$\circ$, \vee=$\vee$, \wedge=$\wedge$, \bullet=$\bullet$, \oplus=$\oplus$

\ominus=$\ominus$, \diamond=$\diamond$, \odot=$\odot$, \oslash=$\oslash$, \uplus=$\uplus$

\otimes=$\otimes$, \bigcirc=$\bigcirc$, \amalg=$\amalg$, \bigtriangleup=$\bigtriangleup$

\bigtriangledown=$\bigtriangledown$, \dagger=$\dagger$, \lhd=$\lhd$, \rhd=$\rhd$

\ddagger=$\ddagger$, \unlhd=$\unlhd$, \unrhd=$\unrhd$, \wr=$\wr$

\bigcup=$\bigcup$, \bigvee=$\bigvee$, \bigoplus=$\bigoplus$, \bigcap=$\bigcap$, \bigwedge=$\bigwedge$, \bigotimes=$\bigotimes$, \coprod=$\coprod$, \bigsqcup=$\bigsqcup$

\bigodot=$\bigodot$, \biguplus=$\biguplus$

判等

\not= = $\not=$, \approx = $\approx$, \equiv = $\equiv$, \gg = $\gg$

\le = $\le$, \ge=$\ge$, \ll = $\ll$, \doteq=$\doteq$, \prec=$\prec$, \succ=$\succ$,

\sim=$\sim$, \preceq=$\preceq$, \succeq=$\succeq$, \simeq=$\simeq$

\cong=$\cong$,

集合

\in = $\in$, \ni = $\ni$, \subset = $\subset$

\supset = $\supset$, \subseteq = $\subseteq$, \supseteq=$\supseteq$

\sqsubset=$\sqsubset$, \sqsupset=$\sqsupset$, \Join=$\Join$, \sqsubseteq=$\sqsubseteq$,

\sqsupseteq=$\sqsupseteq$, \bowtie=$\bowtie$, \propto=$\propto$, \vdash=$\vdash$, \dashv=$\dashv$

\models=$\models$, \mid=$\mid$, \parallel=$\parallel$, \perp=$\perp$, \smile=$\smile$, \frown=$\frown$

\asymp=$\asymp$, \notin=$\notin$, \neq=$\neq$ \neg=$\neg$

\varnothing=$\varnothing$

存在

\exists = $\exists$, \forall =$\forall$

希腊字母

\alpha = $\alpha$, \beta = $\beta$, \gamma =$\gamma$, \delta=$\delta$, \epsilon=$\epsilon$, \varepsilon=$\varepsilon$, \zeta=$\zeta$, \eta=$\eta$

\theta=$\theta$, \vartheta=$\vartheta$, \iota=$\iota$, \kappa=$\kappa$, \lambda=$\lambda$, \mu=$\mu$, \nu=$\nu$, \xi=$\xi$

\pi=$\pi$, \varpi=$\varpi$, \rho=$\rho$, \varrho=$\varrho$, \sigma=$\sigma$, \varsigma=$\varsigma$, \tau=$\tau$

\upsilon=$\upsilon$, \phi=$\phi$, \varphi=$\varphi$, \chi=$\chi$, \psi=$\psi$, \omega=$\omega$

\Gamma=$\Gamma$,\Delta=$\Delta$, \Phi = $\Phi$, \Omega = $\Omega$, \Upsilon=$\Upsilon$,

\Theta=$\Theta$, \Lambda=$\Lambda$, \Xi=$\Xi$, \Pi=$\Pi$, \Sigma=$\Sigma$, \Psi=$\Psi$

箭头

\gets = $\gets$, \to=$\to$, \Leftarrow = $\Leftarrow$, \Rightarrow = $\Rightarrow$,

\Leftrightarrow = $\Leftrightarrow$

\longleftarrow=$\longleftarrow$, \uparrow=$\uparrow$, \longrightarrow=$\longrightarrow$, \dowarrow=$\downarrow$

\leftrightarrow=$\leftrightarrow$, \longleftrightarrow=$\longleftrightarrow$, \updownarrow=$\updownarrow$

\Longleftarrow=$\Longleftarrow$, \Uparrow=$\Uparrow$, \Longleftrightarrow=$\Longleftrightarrow$

\Updownarrow=$\Updownarrow$, \mapsto=$\mapsto$, \longmapsto=$\longmapsto$, \nearrow=$\nearrow$

\hookleftarrow=$\hookleftarrow$, \hookrightarrow=$\hookrightarrow$, \searrow=$\searrow$

\eftharpoonup=$\leftharpoonup$, \rightharpoonup=$\rightharpoonup$, \swarrow=$\swarrow$

\leftharpoondown=$\leftharpoondown$, \rightharpoondown=$\rightharpoondown$, \nwarrow=$\nwarrow$

\rightleftharpoons=$\rightleftharpoons$, \iff=$\iff$, \leadsto=$\leadsto$

省略号

\dots = $\dots$, \cdots = $\cdots$

头项符号

\hat{x} = $\hat{x}$,\widehat{x}=$\widehat{x}$, \bar{x} = $\bar{x}$, \vec{x} = $\vec{x}$

\dot{x} = $\dot{x}$, \ddot{x} = $\ddot{x}$, \widetilde{x}=$\widetilde{x}$

\check{x}=$\check{x}$, \tilde{x}=$\tilde{x}$, \acute{x}=$\acute{x}$

\grave{x}=$\grave{x}$, \breve{x}=$\breve{x}$, 

\mathring{x}=$\mathring{x}$

\overbrace{x}=$\overbrace{x}$, \underbrace{x}=$\underbrace{x}$

\overset{x}{y}=$\overset{x}{y}$, \underset{a}{b}=$\underset{a}{b}$

\overset{\frown}{AB}=$\overset{\frown}{AB}$

取整函数

\lfloor = $\lfloor$, \rfloor = $\rfloor$

\lceil = $\lceil$, \rceil = $\rceil$

其他符号

\infty = $\infty$, \triangle = $\triangle$, \angle = $\angle$

\checkmark = $\checkmark$, \nabla = $\nabla$, 90^\circ = $90^\circ$

\lbrack=$\lbrack$, \rbrack=$\rbrack$, \langle=$\langle$, \rangle=$\rangle$

\lgroup=$\lgroup$, \lmoustache=$\lmoustache$, \forall=$\forall$, \exists=$\exists$

\mho=$\mho$, \prime=$\prime$, \infty=$\infty$, \angle=$\angle$

下标

2^a_i = $2^a_i$

{}_1^2\!X_3^4=${}_1^2\!X_3^4$

上划线下划线

\overline{a+b} = $\overline{a+b}$

\underline{123} = $\underline{123}$

分式

\frac{1}{2} = $\frac{1}{2}$　尺寸小，适合打印

\dfrac{1}{2} = $\dfrac{1}{2}$，尺寸适中，适合显示

\cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1}}}}=$\cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1}}}}$

连续嵌套使用上面的\cfrac

求积分求极限

\sum_{i=1}^{\infty}\frac{1}{i} = $\sum_{i=1}^{\infty}\frac{1}{i}$

\prod_{n=1}^5\frac{n}{n-1} = $\prod_{n=1}^5\frac{n}{n-1}$

\lim_{x\to\infty}\frac{1}{x} = $\lim_{x\to\infty}\frac{1}{x}$

微积分偏导

\frac{d}{dx}\left(x^2\right) = 2x = $\frac{d}{dx}\left(x^2\right) = 2x$

\int 2x,dx = x^2+C = $\int 2x,dx = x^2+C$

\frac{\partial^2U}{\partial x^2} + \frac{\partial^2U}{\partial y^2} =$\frac{\partial^2U}{\partial x^2} + \frac{\partial^2U}{\partial y^2}$

求模

9\equiv 3 \pmod{6} = $9\equiv 3 \pmod{6}$

三角函数

\cos^{2}2x +\sin^{2}2x =1 = $\cos^{2}2x +\sin^{2}2x =1$

\cos 90^\circ = 0 = $\cos 90^\circ = 0$

长坚线

用\big|=$\big|$，\Big|=$\Big|$,\bigg|=$\bigg|$,\Bigg|=$\Bigg|$