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markdown最全数学公式

我们在用markdown写文档时有时候少不了需要插入一些公式，然而markdown公式输入远没有word这么直观，有很多复杂的格式和符号的英语缩写需要记忆，经常是刚用完，过几天不用又都忘记了，因此在这里将数学公式的Latex编辑方式做一个整理，以方便自己和读者今后使用。

分数，平方

算式

markdown

7x+51+y2" role="presentation" style="position: relative;">7x+51+y27x+51+y2

\frac{7x+5}{1+y^2}

下标

算式

markdown

z=zl" role="presentation" style="position: relative;">z=zlz=zl

z=z_l

省略号

省略号

markdown

⋯" role="presentation" style="position: relative;">⋯⋯

\cdots

行间公式（使用两个$包含公式可以独立一行）

行间公式

markdown

ddxeax=aeax∑i=1n(Xi−X¯)2" role="presentation" style="position: relative;">ddxeax=aeax∑ni=1(Xi−X¯¯¯¯)2ddxeax=aeax∑i=1n(Xi−X¯)2

$\frac{d}{dx}e^{ax}=ae^{ax}\quad \sum_{i=1}^{n}{(X_i - \overline{X})^2}$

开根号

算式

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2;3n" role="presentation" style="position: relative;">2–√;3–√n2;3n

\sqrt{2};\sqrt[n]{3}

矢量

算式

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a→⋅b→=0" role="presentation" style="position: relative;">a⃗ ⋅b⃗ =0a→⋅b→=0

\vec{a} \cdot \vec{b}=0

微积分

算式

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∫32x2dx" role="presentation" style="position: relative;">∫23x2dx∫32x2dx

\int ^2_3 x^2 {\rm d}x

∬" role="presentation" style="position: relative;">∬∬

\iint

∭" role="presentation" style="position: relative;">∭∭

\iiint

∮" role="presentation" style="position: relative;">∮∮

\oint

\varoiint" role="presentation" style="position: relative;">\varoiint\varoiint

\oint

d" role="presentation" style="position: relative;">dd

\mathrm{d}

′" role="presentation" style="position: relative;">′′

\prime

lim" role="presentation" style="position: relative;">limlim

\lim

∞" role="presentation" style="position: relative;">∞∞

\infty

∂" role="presentation" style="position: relative;">∂∂

\partial

∂f(x,y)∂x|x=0" role="presentation" style="position: relative;">∂f(x,y)∂x∣∣x=0∂f(x,y)∂x|x=0

\left.\frac{\partial f(x,y)}{\partial x}\right

∑" role="presentation" style="position: relative;">∑∑

\sum

极限

算式

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limn→+∞n" role="presentation" style="position: relative;">limn→+∞nlimn→+∞n

\lim_{n\rightarrow+\infty} n

累加

算式

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∑1i2" role="presentation" style="position: relative;">∑1i2∑1i2

\sum \frac{1}{i^2}

累乘

算式

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∏1i2" role="presentation" style="position: relative;">∏1i2∏1i2

\prod \frac{1}{i^2}

给公式编号，如: (1)

$$e^{i\theta}=cos\theta+\sin\theta i\tag{1}$$

(1)eiθ=cosθ+isin⁡θ" role="presentation" style="position: relative;">eiθ=cosθ+isinθ(1)(1)eiθ=cosθ+isin⁡θ

矩阵

$$
\begin{matrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{matrix} \tag{1}
$$

(1)123456789" role="presentation" style="position: relative;">147258369(1)(1)123456789

带括号的矩阵

$$
\left[
\begin{matrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{matrix} \right]\tag{2}
$$

(2)[123456789]" role="presentation" style="position: relative;">⎡⎣⎢147258369⎤⎦⎥(2)(2)[123456789]

符号

形式

pmatrix

(1324)

bmatrix

[1324]

Bmatrix

{1324}

vmatrix

|1324|" role="presentation" style="position: relative;">|1324||1324|

Vmatrix

||1 3 2 4||

希腊字母

大写

markdown

小写

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A

A

α

\alpha

B

B

β

\beta

Γ

\Gamma

γ

\gamma

Δ

\Delta

δ

\delta

E

E

ϵ

\epsilon

ε

\varepsilon

Z

Z

ζ

\zeta

H

H

η

\eta

Θ

\Theta

θ

\theta

I

I

ι

\iota

K

K

κ

\kappa

Λ

\Lambda

λ

\lambda

M

M

μ

\mu

N

N

ν

\nu

Ξ

\Xi

ξ

\xi

O

O

ο

\omicron

Π

\Pi

π

\pi

P

P

ρ

\rho

Σ

\Sigma

σ

\sigma

大写

markdown

小写

markdown

T

T

τ

\tau

Υ

\Upsilon

υ

\upsilon

Φ

\Phi

ϕ

\phi

φ

\varphi

X

X

χ

\chi

Ψ

\Psi

ψ

\psi

Ω

\Omega

ω

\omega

三角函数

三角函数

markdown

sin

\sin

对数函数

对数函数

算式

markdown

ln⁡15" role="presentation" style="position: relative;">ln15ln⁡15

\ln15

log210" role="presentation" style="position: relative;">log210log210

\log_2^{10}

lg⁡7" role="presentation" style="position: relative;">lg7lg⁡7

\lg7

关系运算符

运算符

markdown

±

\pm

×

\times

÷

\div

∑

\sum

∏

\prod

≠

\neq

≤

\leq

≥

\geq

括号

运算符

markdown

大括号: {a+x}

\lbrace a+x \rbrace

尖括号: ⟨x⟩" role="presentation" style="position: relative;">⟨x⟩⟨x⟩

\langle x \rangle

上取整: ⌈x2⌉" role="presentation" style="position: relative;">⌈x2⌉⌈x2⌉

\lceil \frac{x}{2} \rceil

下取整: ⌊x⌋" role="presentation" style="position: relative;">⌊x⌋⌊x⌋

\lfloor x \rfloor

原始括号:{∑i=0ni2=2ax2+1}" role="presentation" style="position: relative;">{∑ni=0i2=2ax2+1}{∑i=0ni2=2ax2+1}

\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \rbrace

全包括号:{∑i=0ni2=2ax2+1}" role="presentation" style="position: relative;">{∑ni=0i2=2ax2+1}{∑i=0ni2=2ax2+1}

\left\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \right\rbrace

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