LaTeX 语法索引

这个是一些 \(\LaTeX\) 用法的索引,建议使用 Ctrl + F 进行查询中文关键词。

逻辑非,非,not,否,否定,不,neg

\(\neg\)

\neg, \lnot

数码,digit,上划线,overline

\(\overline{abc}\)

\overline{}

逻辑或,或,or

\(\vee\)\(\bigvee\)

\vee, \bigvee

逻辑与,与,and

\(\wedge\)\(\bigwedge\)

\wedge, \bigwedge

不存在,not exist

\(\nexists\)

\nexists

圆,circle

\(\odot\)\(\bigodot\)

\odot, \bigodot

不同余

\(ax\not\equiv1\pmod{p}\)

\not\equiv

全等,congruent

\(\cong\)

\cong

赋值,def

\(:=\)

:=

真子集

\(\subsetneqq\)\(\supsetneqq\)

\subsetneqq, \supsetneqq

非子集

\(\nsubseteq\)\(\nsupseteq\)

\nsubseteq, \nsupseteq

子集,subset

\(\subseteq\)\(\supseteq\)

\subseteq, \supseteq

自交

\(\otimes\)\(\bigotimes\)

\otimes, \bigotimes

异或,xor

\(\oplus\)\(\bigoplus\)

\oplus, \bigoplus

除号,除,除以

\(\div\)

\div

乘除号,乘除

\(\divideontimes\)

\divideontimes

负正号,减加,负正

\(\mp\)

\mp

正负号,加减,正负

\(\pm\)

\pm

整除,约数

\(a|b\)

|

不整除

\(a \nmid b\)

\nmid

取模,模运算,模

\(a \% b\)\(a \mod b\)\(a \equiv1\pmod{b}\)

\%, \mod, \pmod{}

最大公约数,gcd

\(\gcd(a, b)\)

\gcd

最小公倍数,lcm

\(\operatorname{lcm}(a, b)\)

\operatorname{lcm}

补集,C

\(\complement_{U}A\)\(\bar{A}\)\(\overline{A}\)

\complement_{}, \bar{}, \overline{}

无穷,正无穷,负无穷,无限大

\(\infty\)

\infty

最小值,min,minimum,较小的

\(\min(a, b)\)

\min

最大值,max,maximum,较大的

\(\max(a, b)\)

\max

余切,cotangent,cot

\(\cot\theta\)

\cot

指数函数,指数,exponent

\(\exp_a b = a^b\)

\exp_{}

正割,secant,sec

\(\sec\alpha\)

\sec

余割,cosecant,csc

\(\csc\beta\)

\csc

相似,similar,sim

\(\sim\)

\sim

勾,对,是的,正确,完成,tick,correct

\(\checkmark\)

\checkmark

同余

\(\equiv\)

\equiv

LaTeX,拉泰赫

\(\LaTeX\)

\latex

斜着的点,斜点

\(\ddots\)

\ddots

竖着的点,竖点

\(\vdots\)

\vdots

组合

\(\dbinom{n}{m}\)\(\binom{n}{m}\)\(\tbinom{n}{m}\)

\dbinom{}{}, \binom{}{}, \tbinom{}{}

求和,连加,西格玛,sum

\(\sum_{j = 1}^{10}a_j\)

\sum_{}^{}

求积,连乘,product,派

\(\prod_{j = 1}^{10}a_j\)

\prod_{}^{}

分数,fraction

\(\dfrac{1}{2}\)\(\frac{1}{2}\)\(\tfrac{1}{2}\)

\dfrac{}{}, \frac{}{}, \tfrac{}{}

alpha,阿尔法

\(\alpha\)

\alpha

beta,贝塔

\(\beta\)

\beta

Delta,德尔塔,变化量

\(\Delta\)

\Delta

三角形,triangle

\(\triangle\)

\triangle

向量

\(\vec{AB}\)\(\overrightarrow{AB}\)\(\mathbf{e}\)

\vec{}, \overrightarrow{} \mathbf{}

数集,实数集,整数集,自然数集,有理数集,复数集,R,Z,N,Q,C

\(\mathbb{R}\)\(\mathbb{Z}\)\(\mathbb{N}\)\(\mathbb{Q}\)\(\mathbb{C}\)

\mathbb{R}, \mathbb{Z}, \mathbb{N}, \mathbb{Q}, \mathbb{C}

根号,sqrt,root

\(\sqrt[3]{2}\)

\sqrt[]{}

次幂,次方,方,power,上标

\(a^{2}\)

^

下标,序号,index

\(a_i\)

_

theta,西塔

\(\theta\)

\theta

角,角度,triangle

\(\angle AOB\)

\angle

正弦,sin,sine

\(\sin\theta\)

\sin

余弦,cos,cosine

\(\cos\varphi\)

\cos

绝对值,absolute value

\(\left|-1\right|\)

\left| \right|

tangent,正切,tan

\(\tan\alpha\)

\tan\alpha

夹角,向量的夹角

\(<\mathbf{a}, \mathbf{b}>\)\(\left<\mathbf{a}, \mathbf{b}\right>\)

< > \left< \right>

下取整,floor

\(\lfloor \dfrac{1}{2} \rfloor\)\(\left\lfloor \dfrac{1}{2} \right\rfloor\)

\lfloor \rfloor \left\lfloor \right\rfloor

上取整,ceil,ceiling

\(\lceil \dfrac{1}{2}\rceil\)\(\left\lceil \dfrac{1}{2}\right\rceil\)

\lceil \rceil \left\lceil \right\rceil

派,pi,圆周率

\(\pi\)

\pi

fai,phi

\(\phi\)\(\varphi\)

\phi, \varphi

空集,empty

\(\emptyset\)\(\varnothing\)

\emptyset \varnothing

左右,放大,left,right

\(\left|-\dfrac{1}{2}\right|\)

\left \right

mu,miu,莫比乌斯

\(\mu\)

\mu

大于等于,不小于

\(\ge\)\(\geqslant\)

\ge, \geqslant

小于等于,不大于

\(\le\)\(\leqslant\)

\le, \leqslant

不等于

\(\neq\)

\neq

约等于,约,近似

\(\approx\)

\approx

远大于

\(\gg\)

\gg

远小于

\(\ll\)

\ll

平行, parallel

\(\parallel\)

\parallel

垂直,互质

\(\perp\)

\perp

点乘,times,multiply,数量积,内积

\(\cdot\)

\cdot

叉乘,times,multiply,向量积,外积

\(\times\)

\times

省略号,横着的点,横点

\(\cdots\)\(\ldots\)

\cdots, \ldots

上箭头,向上,up arrow

\(\uparrow\)\(\Uparrow\)\(\upharpoonleft\)\(\upharpoonright\)\(\upuparrows\)

\uparrow, \Uparrow, \upharpoonleft, \upharpoonright, \upuparrows

下箭头,向下,down arrow

\(\downarrow\)\(\Downarrow\)\(\downharpoonleft\)\(\downharpoonright\)\(\downdownarrows\)

\downarrow, \Downarrow, \downharpoonleft, \downharpoonright, \downdownarrows

度,分类讨论

\(1^{\circ}\)

\circ

因为,because

\(\because\)

\because

所以,therefore

\(\therefore\)

\therefore

对于所有,全称量词,forall

\(\forall\)

\forall

存在量词,存在,exist

\(\exists\)

\exists

弧,arc

\(\overset{\frown}{AB}\)

\overset{\frown}

交集,交

\(\cap\)\(\bigcap\)

\cap, \bigcap

并集,并

\(\cup\)\(\bigcup\)

\cup, \bigcup

矩阵,matrix

\(\begin{bmatrix}1 & 1 \\ 1 & 0\end{bmatrix}\)

\begin{bmatrix} \end{bmatrix}

条件,cases,分段函数,方程组,不等式组

\(f(x) = \begin{cases}1 & x \in \mathbb{Q} \\ 0 & x \notin \mathbb{Q}\end{cases}\)

\begin{cases} \end{cases}

属于

\(\in, \ni\)

\in, \ni

不属于

\(\notin, \not\ni\)

\notin, \not\ni

文本,正体

\(\textrm{otherwise}\)

\textrm{}

欧米伽,omega

\(\omega\)

\omega

下划线

\(\underline{ABC}\)

\underline{}

加热,heat

\(\triangleq\)

\triangleq

上括号

\(\overbrace{1+2+\cdots+100}\)

\overbrace{}

积分

\(\int_{0}^{1}e^x\text{d}x\)

\int_{}^{}

对齐

\(\begin{aligned}f(x) & = (x + 1)^2 \\ & = x^2 + 2x + 1\end{aligned}\)

\begin{aligned}\end{aligned}

双重积分

\(\iint_{S}^{T}\text{d}x\text{d}y\)

\iint_{}^{}

三重积分

\(\iiint_{S}^{T}\text{d}x\text{d}y\text{d}z\)

\iiint_{}^{}

曲面积分

\(\oint_{C}x^3\text{d}x\)

\oint_{}

极限,limit

\(\lim_{n\to\infty}x_n\)\(\lim\limits_{n\to\infty}x_n\)

\lim_{}, \lim\limits_{}

下括号

\(\underbrace{1+2+\cdots+100}\)

\underbrace{}