Insert mathematical formulas in LaTeX

Commonly used mathematical formulas command

 

1. The upper and lower standard

Superscript	a ^ {2x + 3}
Subscript	a_ {2x + 3}

 

2. Vector

Single symbol vector	\ Thing and
Multi symbol vector	\overrightarrow{xy}

 

3. brackets

Parentheses	()
In parentheses	[]
Angle brackets	\ Langle {} \ rangle or \ langle \ rangle
curly braces	\{ \}
Adapt parentheses	\left(......\right)
Adaptation brackets	\left[ ...... \right]
Adapt the angle brackets	\left\langle ...... \right\rangle
Adapt braces	\left\{  ......  \right\}
On brackets	\ About brace {}
Lower brackets	\ During brace {}

Note: Adaptation refers to the contents of the brackets, to determine the size of the brackets.

Note, braces, use  \{ \}.

% 导言区
\documentclass{article}
\usepackage{ctex}
\usepackage{amsmath}
% 正文区	
\begin{document}			
\section{括号}	
\subsection{小、中、尖、花括号}
$ () $   
$ [] $   
$ \langle {} \rangle $
$ 	\{ \} $
\subsection{适应小、中、尖、花括号}
$	\left(......\right) $
$ \left[ ...... \right] $
$ \left\langle ...... \right\rangle $
$ 	\left\{  ......  \right\} $
\subsection{上括号}
$ \overbrace{1+2+\cdots+100} $

$ \begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100}\end{matrix} $
\subsection{下括号}
$ \underbrace{a+b+\cdots+z} $

$ \begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26\end{matrix} $
\end{document}

 

4. Symbol relations

Addition and subtraction	\pm
Multiply	\times
except	\div
not equal to	\ neq
Approximately equal	\approx
Hang equal	\equiv
greater or equal to	\ geq
Less than or equal	\leq
similar	\sim
Proportional to	\ propto
vertical	\perp
radian	\overset{\frown} {AB}
Overline	\ Overline {AB}

 

The triangle symbol

Triangle symbol	\Delta
Angle	\angle
angle	^ \ Circ
Indexing	'

 

6. cumulative sum

Seeking accumulate	\sum
Evaluating Limit	\lim_{x \to 0}
Cumulative demand	\prod_{i=1}^n x_i
The derivative	x\prime

 

7. integral and differential

Quadrature	\int_{0}^\infty{fxdx}
Closed curve	\oint_{C} x^3\, dx + 4y^2\, dy
Seeking double integrals	\iint_{D}^{W} dxdy
Evaluating Triple Integration	\ Iiint_ {E} ^ {V} \, dx \, dy \, dz
Differential symbol	\nabla
Differentiate	\mathrm{d}x
Partial differentiation	\partial x
Seeking first-order differential	\dot x
Second Order Differential	\ Dot x

Note: It should be introduced into the package amsmath

 

8. Fractional root and

root	\sqrt[x]{y}
Fractional	\ FRAC molecule} {} {denominator

NOTE: in the root, \ sqrt [] No [] {} are optional, defaults to open quadratic.

 

9. collection

All symbols	\forall
存在符号	\exists
属于	\in
反属于	\ni
不属于	\not\in
不反属于	\not\ni
包含	\supset
包含于	\subset
包含有等于	\supseteq
包含于有等于	\subseteq
交集	\cap
大号交集	\bigcap
并集	\cup
大号并集	\bigcup
空集	\emptyset

 

10.箭头符号

取反符号	\lnot q
向左短箭头	\leftarrow
向右短箭头	\rightarrow
双向短箭头	\leftrightarrow
向左长箭头	\longleftarrow
向右长箭头	\longrightarrow
双向长箭头	\longleftrightarrow
向左双短箭头	\Leftarrow
向右双短箭头	\Rightarrow
双向双短箭头	\Leftrightarrow
向左双长箭头	\Longleftarrow
向右双长箭头	\Longrightarrow
双向双长箭头	\Longleftrightarrow

 

11.空格

小括号	a \ b
4个字符括号	a\quad b

 

12.希腊字母

1. 总计个数：24个希腊字母表

2. 历史原因：西方的数学家们在推导数学定理时，仍然沿用并不好写也不好记的希腊字母。所以一直沿用至今

3. 大小写区分：大写字母的是其小写latex首字母大写后的形式

小写	大写	latex
α	A	\alpha
β	B	\beta
γ	Γ	\gamma
δ	Δ	\delta
ϵ	E	\epsilon
ζ	Z	\zeta
ν	N	\nu
ξ	Ξ	\xi
ο	O	\omicron
π	Π	\pi
ρ	P	\rho
σ	Σ	\sigma
η	H	\eta
θ	Θ	\theta
ι	I	\iota
κ	K	\kappa
λ	Λ	\lambda
μ	M	\mu
τ	T	\tau
υ	Υ	\upsilon
ϕ	Φ	\phi，（φφ：\varphi）
χ	X	\chi
ψ	Ψ	\psi
ω	Ω	\omega