markdown公式和绘图

分数，平方

算式	Makedown
$\frac{ax+b}{c+d^2}$	\frac{ax+b}

下标

算式	Makedown
$z=z_a$	z=z_a

省略号

算式	Makedown
$\cdots$	\cdots

行间公式（使用两个$包含公式可以独立一行）

行间公式	Makedown
$\frac{d}{dx}ae^{ax}=ae^{ax }\quad\sum_{i-1}^{n}{(x_i-\overline{x})^{2}}$	\frac{d}{dx}ae^{ax}=ae^{ax }\quad\sum_{i-1}^{n}{(x_i-\overline{x})^{2}}
$\frac{d}{dx}a^{ax}=ae^{ax}$ $\sum_{i-1}^{n}(x_i-\overline{x})^{2}$	\frac{d}{dx}ae^{ax}=ae^{ax } \sum_{i-1}^{n}{(x_i-\overline{x})^{2}}

开根号

根号	Markdown
$\sqrt{n}$	\sqrt
$\sqrt[n]{m}$	\sqrt[n]

矢量

矢量	Markdown
$\vec{a}\cdot\vec{b}=0$	\vec{a}\cdot\vec{b}=0

微积分

算式	Markdown
$\int ^a_bx^2{\rm d}x$	\int ^a_bx^2{\rm d}x
$\iint$	\iint
$\iiint$	\iiint
$\oint$	\oint
$\mathrm{d}$	\mathrm
$\prime$	\prim
$\lim$	\lim
$\infty$	\infty
$\partial$	\partial
$\sum$	\sum

极限

算式	Makedown
$\lim_{n\rightarrow +\infty}n$	\lim_{n\rightarrow +\infty}n

累加

算式	Markdown
$\sum \frac{1}{i^n}$	\sum \frac{1}

输入括号和分隔符

算式	Makedown
$$ \langle a \rangle$$	\angle a \rangle
$\lceil a\rceil$	\lceil a\rceil
$\lfloor a\rfloor$	\lfloor a\rfloor
$\lbrace a\rbrace$	\lbrace a\rbrace

希腊字母

输入	显示	输入	显示	输入	显示	输入	显示
\alpha	$\alpha$	A	$A$	\beta	$\beta$	B	$B$
\gamma	$\gamma$	\Gamma	$\Gamma$	\delta	$\delta$	\Delta	$\Delta$
\epsilon	$\epsilon$	E	$E$	\zeta	$\zeta$	Z	$Z$
\eta	$\eta$	H	$H$	\theta	$\theta$	\Theta	$\Theta$
\iota	$\iota$	I	$I$	\kappa	$\kappa$	K	$K$
\lambda	$\lambda$	\Lambda	$\Lambda$	\mu	$\mu$	M	$M$
\nu	$\nu$	N	$N$	\xi	$\xi$	\Xi	$\Xi$
o	$o$	O	$O$	\pi	$\pi$	\Pi	$\Pi$
\rho	$\rho$	P	$P$	\sigma	$\sigma$	\Sigma	$\Sigma$
\tau	$\tau$	T	$T$	\upsilon	$\upsilon$	\Upsilon	$\Upsilon$
\phi	$\phi$	\Phi	$\Phi$	\chi	$\chi$	X	$X$
\psi	$\psi$	\Psi	$\Psi$	\omega	$\omega$	\Omega	$\Omega$

部分字母有变量专用形式，以 \var- 开头。

小写形式	大写形式	变量形式	显示
\epsilon	E	\varepsilon	$\epsilon \mid E \mid \varepsilon$
\theta	\Theta	\vartheta	$\theta \mid \Theta \mid \vartheta$
\rho	P	\varrho	$\rho \mid P \mid \varrho$
\sigma	\Sigma	\varsigma	$\sigma \mid \Sigma \mid \varsigma$
\phi	\Phi	\varphi	$\phi \mid \Phi \mid \varphi$

如何输入其它特殊字符

(1)．关系运算符

输入	显示	输入	显示	输入	显示	输入	显示
\pm	$\pm$	\times	$\times$	\div	$\div$	\mid	$\mid$
\nmid	$\nmid$	\cdot	$\cdot$	\circ	$\circ$	\ast	$\ast$
\bigodot	$\bigodot$	\bigotimes	$\bigotimes$	\bigoplus	$\bigoplus$	\leq	$\leq$
\geq	$\geq$	\neq	$\neq$	\approx	$\approx$	\equiv	$\equiv$
\sum	$\sum$	\prod	$\prod$	\coprod	$\coprod$	\backslash	$\backslash$

(2)．集合运算符

输入	显示	输入	显示	输入	显示
\emptyset	$\emptyset$	\in	$\in$	\notin	$\notin$
\subset	$\subset$	\supset	$\supset$	\subseteq	$\subseteq$
\supseteq	$\supseteq$	\bigcap	$\bigcap$	\bigcup	$\bigcup$
\bigvee	$\bigvee$	\bigwedge	$\bigwedge$	\biguplus	$\biguplus$

(3)．对数运算符

输入	显示	输入	显示	输入	显示
\log	$\log$	\lg	$\lg$	\ln	$\ln$

(4)．三角运算符

输入	显示	输入	显示	输入	显示
30^\circ	$30^\circ$	\bot	$\bot$	\angle A	$\angle A$
\sin	$\sin$	\cos	$\cos$	\tan	$\tan$
\csc	$\csc$	\sec	$\sec$	\cot	$\cot$

(5)．微积分运算符

输入	显示	输入	显示	输入	显示
\int	$\int$	\iint	$\iint$	\iiint	$\iiint$
\iiiint	$\iiiint$	\oint	$\oint$	\prime	$\prime$
\lim	$\lim$	\infty	$\infty$	\nabla	$\nabla$

(6)．逻辑运算符

输入	显示	输入	显示	输入	显示
\because	$\because$	\therefore	$\therefore$
\forall	$\forall$	\exists	$\exists$	\not\subset	$\not\subset$
\not<	$\not<$	\not>	$\not>$	\not=	$\not=$

(7)．戴帽符号

输入	显示	输入	显示
\hat	$\hat{xy}$	\widehat	$\widehat{xyz}$
\tilde	$\tilde{xy}$	\widetilde	$\widetilde{xyz}$
\check	$\check{x}$	\breve	$\breve{y}$
\grave	$\grave{x}$	\acute	$\acute{y}$

(8)．连线符号

输入	显示
\fbox	$\fbox{a+b+c+d}$
\overleftarrow	$\overleftarrow{a+b+c+d}$
\overrightarrow	$\overrightarrow{a+b+c+d}$
\overleftrightarrow	$\overleftrightarrow{a+b+c+d}$
\underleftarrow	$\underleftarrow{a+b+c+d}$
\underrightarrow	$\underrightarrow{a+b+c+d}$
\underleftrightarrow	$\underleftrightarrow{a+b+c+d}$
\overline	$\overline{a+b+c+d}$
\underline	$\underline{a+b+c+d}$
\overbrace{a+b+c+d}^	$\overbrace{a+b+c+d}^{Sample}$
\underbrace{a+b+c+d}_	$\underbrace{a+b+c+d}_{Sample}$
\overbrace{a+\underbrace{b+c}_{1.0}+d}^	$\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}$
\underbrace{a\cdot a\cdots a}_{b\text{ times}}	$\underbrace{a\cdot a\cdots a}_{b\text{ times}}$

(9)．箭头符号

推荐使用符号：

输入	显示	输入	显示	输入	显示
\to	$\to$	\mapsto	$\mapsto$
\implies	$\implies$	\iff	$\iff$	\impliedby	$\impliedby$

其它可用符号：

输入	显示	输入	显示
\uparrow	$\uparrow$	\Uparrow	$\Uparrow$
\downarrow	$\downarrow$	\Downarrow	$\Downarrow$
\leftarrow	$\leftarrow$	\Leftarrow	$\Leftarrow$
\rightarrow	$\rightarrow$	\Rightarrow	$\Rightarrow$
\leftrightarrow	$\leftrightarrow$	\Leftrightarrow	$\Leftrightarrow$
\longleftarrow	$\longleftarrow$	\Longleftarrow	$\Longleftarrow$
\longrightarrow	$\longrightarrow$	\Longrightarrow	$\Longrightarrow$
\longleftrightarrow	$\longleftrightarrow$	\Longleftrightarrow	$\Longleftrightarrow$

(10). 改变字体的大小

输入	显示结果
\tiny	$\tiny{A}$
\scriptsize	$\scriptsize{A}$
\small	$\small{A}$
\normalsize	$\normalsize{A}$
\large	$\large{A}$
\Large	$\Large{A}$
\LARGE	$\LARGE{A}$
\huge	$\huge{A}$
\Huge	$\Huge{A}$

大括号和行标的使用

使用 \left和 \right来创建自动匹配高度的 (圆括号)，[方括号] 和 {花括号} 。
在每个公式末尾前使用\tag{行标}来实现行标。

$$
f\left(
   \left[ 
     \frac{
       1+\left\{x,y\right\}
     }{
       \left(
          \frac{x}{y}+\frac{y}{x}
       \right)
       \left(u+1\right)
     }+a
   \right]^{3/2}
\right)
\tag{行标}
$$

\[f\left( \left[ \frac{ 1+\left\{x,y\right\} }{ \left( \frac{x}{y}+\frac{y}{x} \right) \left(u+1\right) }+a \right]^{3/2} \right) \tag{行标} \]

字体转换

{\字体 {需转换的部分字符}}

输入	说明	显示实例
`\rm`	罗马体	$\rm{A}$
`\cal`	花体	$\cal{A}$
`\it`	意大利体	$\it{A}$
`\Bbb`	黑板粗体	$\Bbb{A}$
`\bf`	粗体	$\bf{A}$
`\mit`	数学斜体	$\mit{A}$
`\sf`	等线体	$\sf{AB}$
`\scr`	手写体	$\scr{AB}$
`\tt`	打字机体	$\tt{AB}$
`\frak`	旧德式字体	$\frak{AB}$
`\boldsymbol`	黑体	$\boldsymbol{AB}$

定义新的符号 \operatorname

\[\operatorname{Symbol} A \]

\operatorname{Symbol} A

添加注释文字 \text

在 \text {文字} 中仍可以使用 $公式$ 插入其它公式。

\[f(n)=\begin{cases} n/2, & \text{if $n$ is even}\\3n+1,&\text{if $n$ is odd} \end{cases} \]

f(n)=\begin{cases} n/2, & \text{if $n$ is even}\\3n+1,&\text{if $n$ is odd} \end{cases}

在字符间加入空格

有四种宽度的空格可以使用： \,、\;、\quad 和 \qquad 。

\[a\,b \\ a\;b\\ a\quad b\\ a\qquad b \]

a\,b \\
a\;b\\
a\quad b\\
a\qquad b           

# 当然，使用 \text {n个空格} 也可以达到同样效果

更改文字颜色

使用 \color{颜色}{文字} 来更改特定的文字颜色。更改文字颜色 需要浏览器支持 ，如果浏览器不知道你所需的颜色，那么文字将被渲染为黑色。

输入	显示	输入	显示
black	$\color{black}{A}$	gray	$\color{gray}{A}$
silver	$\color{sliver}{A}$	white	$\color{white}{A}$
maroon	$\color{maroon}{A}$	red	$\color{red}{A}$
yellow	$\color{yellow}{A}$	lime	$\color{lime}{A}$
olive	$\color{olive}{A}$	green	$\color{green}{A}$
teal	$\color{teal}{A}$	auqa	$\color{auqa}{A}$
blue	$\color{blue}{A}$	navy	$\color{navy}{A}$
purple	$\color{purple}{A}$	fuchsia	$\color{fuchsia}{A}$

输入 \color {#rgb} {text} 来自定义更多的颜色，其中 #rgb 的 r g b 可输入 0-9 和 a-f 来表示红色、绿色和蓝色的纯度（饱和度）。

\[\begin{array}{|rrrrrrrr|}\hline \verb+#000+ & \color{#000}{text} & & & \verb+#00F+ & \color{#00F}{text} & & \\ & & \verb+#0F0+ & \color{#0F0}{text} & & & \verb+#0FF+ & \color{#0FF}{text}\\ \verb+#F00+ & \color{#F00}{text} & & & \verb+#F0F+ & \color{#F0F}{text} & & \\ & & \verb+#FF0+ & \color{#FF0}{text} & & & \verb+#FFF+ & \color{#FFF}{text}\\ \hline \end{array} \]

\begin{array}{|rrrrrrrr|}\hline
\verb+#000+ & \color{#000}{text} & & &
\verb+#00F+ & \color{#00F}{text} & & \\
& & \verb+#0F0+ & \color{#0F0}{text} &
& & \verb+#0FF+ & \color{#0FF}{text}\\
\verb+#F00+ & \color{#F00}{text} & & &
\verb+#F0F+ & \color{#F0F}{text} & & \\
& & \verb+#FF0+ & \color{#FF0}{text} &
& & \verb+#FFF+ & \color{#FFF}{text}\\
\hline
\end{array}

\[\begin{array}{|rrrrrrrr|} \hline \verb+#000+ & \color{#000}{text} & \verb+#005+ & \color{#005}{text} & \verb+#00A+ & \color{#00A}{text} & \verb+#00F+ & \color{#00F}{text} \\ \verb+#500+ & \color{#500}{text} & \verb+#505+ & \color{#505}{text} & \verb+#50A+ & \color{#50A}{text} & \verb+#50F+ & \color{#50F}{text} \\ \verb+#A00+ & \color{#A00}{text} & \verb+#A05+ & \color{#A05}{text} & \verb+#A0A+ & \color{#A0A}{text} & \verb+#A0F+ & \color{#A0F}{text} \\ \verb+#F00+ & \color{#F00}{text} & \verb+#F05+ & \color{#F05}{text} & \verb+#F0A+ & \color{#F0A}{text} & \verb+#F0F+ & \color{#F0F}{text} \\ \hline \verb+#080+ & \color{#080}{text} & \verb+#085+ & \color{#085}{text} & \verb+#08A+ & \color{#08A}{text} & \verb+#08F+ & \color{#08F}{text} \\ \verb+#580+ & \color{#580}{text} & \verb+#585+ & \color{#585}{text} & \verb+#58A+ & \color{#58A}{text} & \verb+#58F+ & \color{#58F}{text} \\ \verb+#A80+ & \color{#A80}{text} & \verb+#A85+ & \color{#A85}{text} & \verb+#A8A+ & \color{#A8A}{text} & \verb+#A8F+ & \color{#A8F}{text} \\ \verb+#F80+ & \color{#F80}{text} & \verb+#F85+ & \color{#F85}{text} & \verb+#F8A+ & \color{#F8A}{text} & \verb+#F8F+ & \color{#F8F}{text} \\ \hline \verb+#0F0+ & \color{#0F0}{text} & \verb+#0F5+ & \color{#0F5}{text} & \verb+#0FA+ & \color{#0FA}{text} & \verb+#0FF+ & \color{#0FF}{text} \\ \verb+#5F0+ & \color{#5F0}{text} & \verb+#5F5+ & \color{#5F5}{text} & \verb+#5FA+ & \color{#5FA}{text} & \verb+#5FF+ & \color{#5FF}{text} \\ \verb+#AF0+ & \color{#AF0}{text} & \verb+#AF5+ & \color{#AF5}{text} & \verb+#AFA+ & \color{#AFA}{text} & \verb+#AFF+ & \color{#AFF}{text} \\ \verb+#FF0+ & \color{#FF0}{text} & \verb+#FF5+ & \color{#FF5}{text} & \verb+#FFA+ & \color{#FFA}{text} & \verb+#FFF+ & \color{#FFF}{text} \\ \hline \end{array} \]

\begin{array}{|rrrrrrrr|}
\hline
\verb+#000+ & \color{#000}{text} & \verb+#005+ & \color{#005}{text} & \verb+#00A+ & \color{#00A}{text} & \verb+#00F+ & \color{#00F}{text}  \\
\verb+#500+ & \color{#500}{text} & \verb+#505+ & \color{#505}{text} & \verb+#50A+ & \color{#50A}{text} & \verb+#50F+ & \color{#50F}{text}  \\
\verb+#A00+ & \color{#A00}{text} & \verb+#A05+ & \color{#A05}{text} & \verb+#A0A+ & \color{#A0A}{text} & \verb+#A0F+ & \color{#A0F}{text}  \\
\verb+#F00+ & \color{#F00}{text} & \verb+#F05+ & \color{#F05}{text} & \verb+#F0A+ & \color{#F0A}{text} & \verb+#F0F+ & \color{#F0F}{text}  \\
\hline
\verb+#080+ & \color{#080}{text} & \verb+#085+ & \color{#085}{text} & \verb+#08A+ & \color{#08A}{text} & \verb+#08F+ & \color{#08F}{text}  \\
\verb+#580+ & \color{#580}{text} & \verb+#585+ & \color{#585}{text} & \verb+#58A+ & \color{#58A}{text} & \verb+#58F+ & \color{#58F}{text}  \\
\verb+#A80+ & \color{#A80}{text} & \verb+#A85+ & \color{#A85}{text} & \verb+#A8A+ & \color{#A8A}{text} & \verb+#A8F+ & \color{#A8F}{text}  \\
\verb+#F80+ & \color{#F80}{text} & \verb+#F85+ & \color{#F85}{text} & \verb+#F8A+ & \color{#F8A}{text} & \verb+#F8F+ & \color{#F8F}{text}  \\
\hline
\verb+#0F0+ & \color{#0F0}{text} & \verb+#0F5+ & \color{#0F5}{text} & \verb+#0FA+ & \color{#0FA}{text} & \verb+#0FF+ & \color{#0FF}{text}  \\
\verb+#5F0+ & \color{#5F0}{text} & \verb+#5F5+ & \color{#5F5}{text} & \verb+#5FA+ & \color{#5FA}{text} & \verb+#5FF+ & \color{#5FF}{text}  \\
\verb+#AF0+ & \color{#AF0}{text} & \verb+#AF5+ & \color{#AF5}{text} & \verb+#AFA+ & \color{#AFA}{text} & \verb+#AFF+ & \color{#AFF}{text}  \\
\verb+#FF0+ & \color{#FF0}{text} & \verb+#FF5+ & \color{#FF5}{text} & \verb+#FFA+ & \color{#FFA}{text} & \verb+#FFF+ & \color{#FFF}{text}  \\
\hline
\end{array}

添加删除线

使用删除线功能必须声明 $$ 符号。

在公式内使用 \require{cancel} 来允许 片段删除线 的显示。
声明片段删除线后，使用 \cancel{字符}、\bcancel{字符}、\xcancel{字符} 和 \cancelto{字符} 来实现各种片段删除线效果。

\[\require{cancel}\begin{array}{rl} \verb|y+\cancel{x}| & y+\cancel{x}\\ \verb|\cancel{y+x}| & \cancel{y+x}\\ \verb|y+\bcancel{x}| & y+\bcancel{x}\\ \verb|y+\xcancel{x}| & y+\xcancel{x}\\ \verb|y+\cancelto{0}{x}| & y+\cancelto{0}{x}\\ \verb+\frac{1\cancel9}{\cancel95} = \frac15+& \frac{1\cancel9}{\cancel95} = \frac15 \\ \end{array} \]

$$
\require{cancel}\begin{array}{rl}
\verb|y+\cancel{x}| & y+\cancel{x}\\
\verb|\cancel{y+x}| & \cancel{y+x}\\
\verb|y+\bcancel{x}| & y+\bcancel{x}\\
\verb|y+\xcancel{x}| & y+\xcancel{x}\\
\verb|y+\cancelto{0}{x}| & y+\cancelto{0}{x}\\
\verb+\frac{1\cancel9}{\cancel95} = \frac15+& \frac{1\cancel9}{\cancel95} = \frac15 \\
\end{array}
$$

使用 \require{enclose} 来允许 整段删除线 的显示。
声明整段删除线后，使用 \enclose{删除线效果}{字符} 来实现各种整段删除线效果。
其中，删除线效果有 horizontalstrike、verticalstrike、updiagonalstrike 和 downdiagonalstrike，可叠加使用。

\[\require{enclose}\begin{array}{rl} \verb|\enclose{horizontalstrike}{x+y}| & \enclose{horizontalstrike}{x+y}\\ \verb|\enclose{verticalstrike}{\frac xy}| & \enclose{verticalstrike}{\frac xy}\\ \verb|\enclose{updiagonalstrike}{x+y}| & \enclose{updiagonalstrike}{x+y}\\ \verb|\enclose{downdiagonalstrike}{x+y}| & \enclose{downdiagonalstrike}{x+y}\\ \verb|\enclose{horizontalstrike,updiagonalstrike}{x+y}| & \enclose{horizontalstrike,updiagonalstrike}{x+y}\\ \end{array} \]

$$
\require{enclose}\begin{array}{rl}
\verb|\enclose{horizontalstrike}{x+y}| & \enclose{horizontalstrike}{x+y}\\
\verb|\enclose{verticalstrike}{\frac xy}| & \enclose{verticalstrike}{\frac xy}\\
\verb|\enclose{updiagonalstrike}{x+y}| & \enclose{updiagonalstrike}{x+y}\\
\verb|\enclose{downdiagonalstrike}{x+y}| & \enclose{downdiagonalstrike}{x+y}\\
\verb|\enclose{horizontalstrike,updiagonalstrike}{x+y}| & \enclose{horizontalstrike,updiagonalstrike}{x+y}\\
\end{array}
$$

矩阵

如何输入无框矩阵

在开头使用 begin{matrix}，在结尾使用 end{matrix}，在中间插入矩阵元素，每个元素之间插入 & ，并在每行结尾处使用 \\ 。
使用矩阵时必须声明 $ 或 $$ 符号。

\[\begin{matrix} 1 & x & x^3 \\ a & b & c\\ a & a^b & a^c\\ \end{matrix} \]

\begin{matrix}
1 & x & x^3 \\
a & b & c\\
a & a^b & a^c\\
\end{matrix}

如何输入边框矩阵

在开头将 matrix 替换为 pmatrix bmatrix Bmatrix vmatrix Vmatrix

matrix	pmatrix	bmatrix	Bmatrix	vmatrix	Vmatrix
$ \begin{matrix} 1 & 2 \ 3 & 4 \ \end{matrix} $	$ \begin{pmatrix} 1 & 2 \ 3 & 4 \ \end{pmatrix} $	$ \begin{bmatrix} 1 & 2 \ 3 & 4 \ \end{bmatrix} $	$ \begin{Bmatrix} 1 & 2 \ 3 & 4 \ \end{Bmatrix} $	$ \begin{vmatrix} 1 & 2 \ 3 & 4 \ \end{vmatrix} $	$ \begin{Vmatrix} 1 & 2 \ 3 & 4 \ \end{Vmatrix} $

$ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} $
$ \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ \end{pmatrix} $
$ \begin{bmatrix} 1 & 2 \\ 3 & 4 \\ \end{bmatrix} $
$ \begin{Bmatrix} 1 & 2 \\ 3 & 4 \\ \end{Bmatrix} $
$ \begin{vmatrix} 1 & 2 \\ 3 & 4 \\ \end{vmatrix} $
$ \begin{Vmatrix} 1 & 2 \\ 3 & 4 \\ \end{Vmatrix} $

\[\begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ \end{pmatrix} \begin{bmatrix} 1 & 2 \\ 3 & 4 \\ \end{bmatrix} \begin{Bmatrix} 1 & 2 \\ 3 & 4 \\ \end{Bmatrix} \begin{vmatrix} 1 & 2 \\ 3 & 4 \\ \end{vmatrix} \begin{Vmatrix} 1 & 2 \\ 3 & 4 \\ \end{Vmatrix} \]

如何输入带省略符号的矩阵**

用 \cdots , \ddots , \vdots 来输入省略符号。

\[\cdots |\ddots| \vdots \]

\[\begin{pmatrix} 1 & a_1 & a_1^2 & \cdots & a_1^n \\ 1 & a_2 & a_2^2 & \cdots & a_2^n \\ \vdots & \vdots & \vdots & \ddots & \vdots \\ 1 & a_m & a_m^2 & \cdots & a_m^n \\ \end{pmatrix} \]

        \begin{pmatrix}
        1 & a_1 & a_1^2 & \cdots & a_1^n \\
        1 & a_2 & a_2^2 & \cdots & a_2^n \\
        \vdots & \vdots & \vdots & \ddots & \vdots \\
        1 & a_m & a_m^2 & \cdots & a_m^n \\
        \end{pmatrix}

如何输入带分割符号的矩阵

\[\left[ \begin{array}{cc|c} 1&2&3\\ 4&5&6 \end{array} \right] \]

\left[
    \begin{array}{cc|c}
      1&2&3\\
      4&5&6
    \end{array}
\right]

其中 cc|c 代表在一个三列矩阵中的第二和第三列之间插入分割线。

如何输入行中矩阵

若想在一行内显示矩阵，使用\bigl(\begin{smallmatrix} ... \end{smallmatrix}\bigr)

$\bigl( \begin{smallmatrix} a & b \\ c & d \end{smallmatrix} \bigr)$

$\bigl( \begin{smallmatrix} a & b \\ c & d \end{smallmatrix} \bigr)$

方程式序列使用

如何输入一个方程式序列

人们经常想要一列整齐且居中的方程式序列。使用\begin{align}…\end{align} 来创造一列方程式，其中在每行结尾处使用 \\ 。使用方程式序列无需声明公式符号 $ 或 $$ 。

请注意 {align} 语句是 自动编号 的。

\[\begin{align} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\ & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right) \end{align} \]

\begin{align}
\sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\
 & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ 
 & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
 & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ 
 & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}

在一个方程式序列的每一行中注明原因

在 {align} 中灵活组合 \text 和 \tag 语句。\tag 语句编号优先级高于自动编号。

\[\begin{align} v + w & = 0 &\text{Given} \tag 1\\ -w & = -w + 0 & \text{additive identity} \tag 2\\ -w + 0 & = -w + (v + w) & \text{equations $(1)$ and $(2)$} \end{align} \]

本例中第一、第二行的自动编号被 \tag 语句覆盖，第三行的编号为自动编号

\begin{align}
   v + w & = 0  &\text{Given} \tag 1\\
   -w & = -w + 0 & \text{additive identity} \tag 2\\
   -w + 0 & = -w + (v + w) & \text{equations $(1)$ and $(2)$}
\end{align}

条件表达式使用

如何输入一个条件表达式

使用 begin{cases} 来创造一组条件表达式，在每一行条件中插入 & 来指定需要对齐的内容，并在每一行结尾处使用 \\，以 end{cases} 结束。条件表达式无需声明 $ 或 $$ 符号

\[f(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases} \]

 f(n) =
        \begin{cases}
        n/2,  & \text{if $n$ is even} \\
        3n+1, & \text{if $n$ is odd}
        \end{cases}

左侧对齐的条件表达式

\[\left. \begin{array}{l} \text{if $n$ is even:}&n/2\\ \text{if $n$ is odd:}&3n+1 \end{array} \right\} =f(n) \]

\left.
        \begin{array}{l}
        \text{if $n$ is even:}&n/2\\
        \text{if $n$ is odd:}&3n+1
        \end{array}
        \right\}
        =f(n)

何使条件表达式适配行高

一些情况下，条件表达式中某些行的行高为非标准高度，此时使用 \\[2ex] 语句代替该行末尾的 \\ 来让编辑器适配。

不适配[2ex]

\[f(n) = \begin{cases} \frac{n}{2}, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases} \]

f(n) = 
\begin{cases}
\frac{n}{2},  & \text{if $n$ is even} \\
3n+1, & \text{if $n$ is odd}
\end{cases}

适配[2ex]

\[f(n) = \begin{cases} \frac{n}{2}, & \text{if $n$ is even} \\[2ex] 3n+1, & \text{if $n$ is odd} \end{cases} \]

f(n) = 
\begin{cases}
\frac{n}{2},  & \text{if $n$ is even} \\[2ex]
3n+1, & \text{if $n$ is odd}
\end{cases}

一个 [ex] 指一个 "X-Height"，即x字母高度。可以根据情况指定多个 [ex]，如 [3ex]、[4ex] 等。其实可以在任何地方使用 \\[2ex] 语句。

数组与表格使用

如何输入一个数组或表格

通常，一个格式化后的表格比单纯的文字或排版后的文字更具有可读性。数组和表格均以 begin{array} 开头，并在其后定义列数及每一列的文本对齐属性，c l r分别代表居中、左对齐及右对齐。若需要插入垂直分割线，在定义式中插入 | ，若要插入水平分割线，在下一行输入前插入 \hline 。与矩阵相似，每行元素间均须要插入 & ，每行元素以 \\ 结尾，最后以 end{array} 结束数组。使用单个数组或表格时无需声明 $ 或 $$ 符号。

\[\begin{array}{c|lcr} n & \text{左对齐} & \text{居中对齐} & \text{右对齐} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \end{array} \]

\begin{array}{c|lcr}
n & \text{左对齐} & \text{居中对齐} & \text{右对齐} \\
\hline
1 & 0.24 & 1 & 125 \\
2 & -1 & 189 & -8 \\
3 & -20 & 2000 & 1+10i
\end{array}

如何输入一个嵌套的数组或表格

多个数组/表格可 互相嵌套 并组成一组数组/一组表格。
使用嵌套前必须声明 $$ 符号。

\[% outer vertical array of arrays 外层垂直表格 \begin{array}{c} % inner horizontal array of arrays 内层水平表格 \begin{array}{cc} % inner array of minimum values 内层"最小值"数组 \begin{array}{c|cccc} \text{min} & 0 & 1 & 2 & 3\\ \hline 0 & 0 & 0 & 0 & 0\\ 1 & 0 & 1 & 1 & 1\\ 2 & 0 & 1 & 2 & 2\\ 3 & 0 & 1 & 2 & 3 \end{array} & % inner array of maximum values 内层"最大值"数组 \begin{array}{c|cccc} \text{max}&0&1&2&3\\ \hline 0 & 0 & 1 & 2 & 3\\ 1 & 1 & 1 & 2 & 3\\ 2 & 2 & 2 & 2 & 3\\ 3 & 3 & 3 & 3 & 3 \end{array} \end{array} % 内层第一行表格组结束 \\ % inner array of delta values 内层第二行Delta值数组 \begin{array}{c|cccc} \Delta&0&1&2&3\\ \hline 0 & 0 & 1 & 2 & 3\\ 1 & 1 & 0 & 1 & 2\\ 2 & 2 & 1 & 0 & 1\\ 3 & 3 & 2 & 1 & 0 \end{array} % 内层第二行表格组结束 \end{array} \]

% outer vertical array of arrays 外层垂直表格
\begin{array}{c}
    % inner horizontal array of arrays 内层水平表格
    \begin{array}{cc}
        % inner array of minimum values 内层"最小值"数组
        \begin{array}{c|cccc}
        \text{min} & 0 & 1 & 2 & 3\\
        \hline
        0 & 0 & 0 & 0 & 0\\
        1 & 0 & 1 & 1 & 1\\
        2 & 0 & 1 & 2 & 2\\
        3 & 0 & 1 & 2 & 3
        \end{array}
    &
        % inner array of maximum values 内层"最大值"数组
        \begin{array}{c|cccc}
        \text{max}&0&1&2&3\\
        \hline
        0 & 0 & 1 & 2 & 3\\
        1 & 1 & 1 & 2 & 3\\
        2 & 2 & 2 & 2 & 3\\
        3 & 3 & 3 & 3 & 3
        \end{array}
    \end{array}
    % 内层第一行表格组结束
    \\
    % inner array of delta values 内层第二行Delta值数组
        \begin{array}{c|cccc}
        \Delta&0&1&2&3\\
        \hline
        0 & 0 & 1 & 2 & 3\\
        1 & 1 & 0 & 1 & 2\\
        2 & 2 & 1 & 0 & 1\\
        3 & 3 & 2 & 1 & 0
        \end{array}
        % 内层第二行表格组结束
\end{array}

输出一个方程组

使用 \begin{array}…\end{array} 和 \left\{…\right. 来创建一个方程组。

\[\left\{ \begin{array}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right. \]

\left\{ 
\begin{array}{c}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{array}
\right.

或者使用条件表达式组 \begin{cases}…\end{cases} 来实现相同效果

\[\begin{cases} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{cases} \]

\begin{cases}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{cases}

连分数使用

如何输入一个连分式

就像输入分式时使用 \frac 一样，使用 \cfrac 来创建一个连分数。

\[x = a_0 + \cfrac{1^2}{a_1 + \cfrac{2^2}{a_2 + \cfrac{3^2}{a_3 + \cfrac{4^4}{a_4 + \cdots}}}} \]

x = a_0 + \cfrac{1^2}{a_1
          + \cfrac{2^2}{a_2
          + \cfrac{3^2}{a_3 + \cfrac{4^4}{a_4 + \cdots}}}}

可以使用 \frac 来表达连分数的 紧缩记法

\[x = a_0 + \frac{1^2}{a_1 + \frac{2^2}{a_2 + \frac{3^2}{a_3 + \frac{4^4}{a_4 + \cdots}}}} \]

x = a_0 + \frac{1^2}{a_1
          + \frac{2^2}{a_2
          + \frac{3^2}{a_3 + \frac{4^4}{a_4 + \cdots}}}}

\[x = a_0 + \frac{1^2}{a_1+} \frac{2^2}{a_2+} \frac{3^2}{a_3 +} \frac{4^4}{a_4 +} \cdots \]

x = a_0 + \frac{1^2}{a_1+}
          \frac{2^2}{a_2+}
          \frac{3^2}{a_3 +} \frac{4^4}{a_4 +} \cdots

交换图表使用

如何输入一个交换图表

使用一行 $ \require{AMScd} $ 语句来允许交换图表的显示。
声明交换图表后，语法与矩阵相似，在开头使用 begin{CD}，在结尾使用 end{CD}，在中间插入图表元素，每个元素之间插入 & ，并在每行结尾处使用 \\

\[\require{AMScd} \begin{CD} A @>a>> B\\ @V b V V\# @VV c V\\ C @>>d> D \end{CD} \]

\require{AMScd}
\begin{CD}
    A @>a>> B\\
    @V b V V\# @VV c V\\
    C @>>d> D
\end{CD}

其中，@>>> 代表右箭头、@<<< 代表左箭头、@VVV 代表下箭头、@AAA 代表上箭头、@= 代表水平双实线、@| 代表竖直双实线、@.代表没有箭头。在 @>>> 的 >>> 之间任意插入文字即代表该箭头的注释文字。

\[\require{AMScd} \begin{CD} A @>a>>B\\ @V b V V\ hello @VV c V\\ C @>>d >D \end{CD} \]

\require{AMScd}
\begin{CD}
	A @>a>>B\\
	@V b V V\ hello @VV c V\\
	C @>>d >D
\end{CD}

其中，@>>> 代表右箭头、@<<< 代表左箭头、@VVV 代表下箭头、@AAA 代表上箭头、@= 代表水平双实线、@| 代表竖直双实线、@.代表没有箭头。
在 @>>> 的 >>> 之间任意插入文字即代表该箭头的注释文字。

\[\begin{CD} A @>>> B @>{\text{display text}}>>C\\ @.@AAA @|\\ D @=E @<<<F \end{CD} \]

\begin{CD}
	A @>>> B @>{\text{display text}}>>C\\
	@.@AAA @|\\
	D @=E @<<<F
	\end{CD}

"very long label"自动延长了它所在箭头以及对应箭头的长度。

\[\begin{array}{cc} \mathrm{Bad} & \mathrm{Better} \\ \hline \\ e^{i\frac{\pi}2} \quad e^{\frac{i\pi}2}& e^{i\pi/2} \\ \int_{-\frac\pi2}^\frac\pi2 \sin x\,dx & \int_{-\pi/2}^{\pi/2}\sin x\,dx \\ \end{array} \]

\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
e^{i\frac{\pi}2} \quad e^{\frac{i\pi}2}& e^{i\pi/2} \\
\int_{-\frac\pi2}^\frac\pi2 \sin x\,dx & \int_{-\pi/2}^{\pi/2}\sin x\,dx \\
\end{array}

\[\begin{array}{cc} \mathrm{Bad} & \mathrm{Better} \\ \hline \\ \{x|x^2\in\Bbb Z\} & \{x\mid x^2\in\Bbb Z\} \\ \end{array} \]

\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
\{x|x^2\in\Bbb Z\} & \{x\mid x^2\in\Bbb Z\} \\
\end{array}

\[\begin{array}{cc} \mathrm{Bad} & \mathrm{Better} \\ \hline \\ \int\int_S f(x)\,dy\,dx & \iint_S f(x)\,dy\,dx \\ \int\int\int_V f(x)\,dz\,dy\,dx & \iiint_V f(x)\,dz\,dy\,dx \end{array} \]

\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
\int\int_S f(x)\,dy\,dx & \iint_S f(x)\,dy\,dx \\
\int\int\int_V f(x)\,dz\,dy\,dx & \iiint_V f(x)\,dz\,dy\,dx
\end{array}

\[\begin{array}{cc} \mathrm{Bad} & \mathrm{Better} \\ \hline \\ \iiint_V f(x){\rm d}z {\rm d}y {\rm d}x & \iiint_V f(x)\,{\rm d}z\,{\rm d}y\,{\rm d}x \end{array} \]

\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
\iiint_V f(x){\rm d}z {\rm d}y {\rm d}x & \iiint_V f(x)\,{\rm d}z\,{\rm d}y\,{\rm d}x
\end{array}

例子：

$\partial$ :$\partial$

$ x^{yz}=(1+{\rm e}^x) $

$ x^{y^z}=(1+{\rm e}^x)^{-2xy^w} $

$ \sideset{^1_2}{3_4}\bigotimes $

$ \sideset{^1_2}{^3_4}\bigotimes $

$ f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right) $

$ f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right) $

$\frac{a-1}{b-1} \quad and \quad {a+1\over b+1}$

$\frac{a-1}{b-1} \quad and \quad {a+1\over b+1}$

$\sqrt{2} \quad and \quad \sqrt[n]{3}$

$\sqrt{2} \quad and \quad \sqrt[n]{3}$

$f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}_{\rm cdots} + x_n^2$

$f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}_{\rm cdots} + x_n^2$

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

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

$\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}$

$\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}$

$\int_0^1 {x^2} \,{\rm d}x$

$\int_0^1 {x^2} \,{\rm d}x$

$ \lim_{n \to +\infty} \frac{1}{n(n+1)} \quad and \quad \lim_{x\leftarrow{a}} \frac{1}{n(n+1)} $

$ \lim_{n \to +\infty} \frac{1}{n(n+1)} \quad and \quad \lim_{x\leftarrow{a}} \frac{1}{n(n+1)} $

$\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R$

$\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R$

$\smash{\displaystyle\max_{0 \leq q \leq n-1}} f(q) \le n$

$\smash{\displaystyle\max_{0 \leq q \leq n-1}} f(q) \le n$

$f(x + \epsilon) \approx f(x) + f'(x) \epsilon + \mathcal{O}(\epsilon^2).$

$f(x + \epsilon) \approx f(x) + f'(x) \epsilon + \mathcal{O}(\epsilon^2).$

$\text{d}x$

$\text{d}x$

$f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right)$

$f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right)$

$\left. \frac{ {\rm d}u}{ {\rm d}x} \right| _{x=0}$

$\left. \frac{ {\rm d}u}{ {\rm d}x} \right| _{x=0}$

$\frac{\partial^{2}y}{\partial x^{2}}$

$\frac{\partial^{2}y}{\partial x^{2}}$

$\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}$

$\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}$

$A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}$

$A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}$

$\underset{x\in S\subseteq X}{\operatorname{arg,max}}, f(x) := {x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)}. $

$
 \underset{x\in S\subseteq X}{\operatorname{arg\,max}}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$

\[\operatorname*{\arg\max}_{x\in S\subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}. \]

$$
\operatorname*{\arg\max}_{x\in S\subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$$

\[\begin{array}{cc} \mathrm{Bad} &\mathrm{Better}\\ \hline\\ \int_0^1 x^2 dx & \int_0^1 x^2{\rm d}x \end{array} \]

\begin{array}{cc}
\mathrm{Bad} &\mathrm{Better}\\
\hline\\
\int_0^1 x^2 dx & \int_0^1 x^2{\rm d}x
\end{array}

\[\left\langle q \middle\| \frac{\frac{x}{y}}{\frac{u}{v}} \middle | \right\rangle \]

\left\langle
q
\middle\|
 \frac{\frac{x}{y}}{\frac{u}{v}}
 \middle |
 \right\rangle

流程图

code：

st=>start: Start:
io=>inputoutput: verification
op=>operation: Your Operation
cond=>condition: Yes or No?
sub=>subroutine: Your Subroutine
e=>end

st->io->op->cond
cond(yes)->e
cond(no)->sub->io  # flow语法

序列图

更多语法参考：流程图语法参考

Alice->Bob: Hello Bob, how are you?
Note right of Bob: Bob thinks
Bob-->Alice: I am good thanks!         # sequence语法

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code:sequence语法

Title: Here is a title
A->B: Normal line
B-->C: Dashed line
C->>D: Open arrow
D-->>A: Dashed open arrow

更多语法参考：序列图语法参考

甘特图

    title 项目开发流程
    section 项目实施
        概要设计      :2016-07-05  , 5d
        详细设计      :2016-07-08, 10d
        编码          :2016-07-15, 10d
        测试          :2016-07-22, 5d
    section 发布验收
        发布: 2d
        验收: 3d

更多语法参考：甘特图语法参考

Mermaid 流程图

   A[Hard edge] -->|Link text| B(Round edge)
    B --> C{Decision}
    C -->|One| D[Result one]
    C -->|Two| E[Result two]    # graphLR

更多语法参考：Mermaid 流程图语法参考

Html 标签

值班人员	星期一	星期二	星期三
值班人员	李强	张明	王平

<table>
        <tr>
            <th rowspan="2">值班人员</th>
            <th>星期一</th>
            <th>星期二</th>
            <th>星期三</th>
        </tr>
        <tr>
            <td>李强</td>
            <td>张明</td>
            <td>王平</td>
        </tr>
    </table>

待办事宜 Todo 列表

使用带有 [ ] 或 [x] （未完成或已完成）项的列表语法撰写一个待办事宜列表，并且支持子列表嵌套以及混用Markdown语法，例如：

- [ ] **Cmd Markdown 开发**
        - [ ] 改进 Cmd 渲染算法，使用局部渲染技术提高渲染效率
        - [ ] 支持以 PDF 格式导出文稿
        - [x] 新增Todo列表功能 [语法参考](https://github.com/blog/1375-task-lists-in-gfm-issues-pulls-comments)
        - [x] 改进 LaTex 功能
            - [x] 修复 LaTex 公式渲染问题
            - [x] 新增 LaTex 公式编号功能 [语法参考](http://docs.mathjax.org/en/latest/tex.html#tex-eq-numbers)
    - [ ] **七月旅行准备**
        - [ ] 准备邮轮上需要携带的物品
        - [ ] 浏览日本免税店的物品
        - [x] 购买蓝宝石公主号七月一日的船票

脚注

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[^footnote2]: 这是另一个 *注脚* 的 **文本**。

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posted @ 2019-01-17 18:47 小魔鬼的世界阅读(1344) 评论(2) 编辑收藏举报

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刷新页面返回顶部

输入	显示	输入	显示	输入	显示	输入	显示
\alpha	\(\alpha\)	A	\(A\)	\beta	\(\beta\)	B	\(B\)
\gamma	\(\gamma\)	\Gamma	\(\Gamma\)	\delta	\(\delta\)	\Delta	\(\Delta\)
\epsilon	\(\epsilon\)	E	\(E\)	\zeta	\(\zeta\)	Z	\(Z\)
\eta	\(\eta\)	H	\(H\)	\theta	\(\theta\)	\Theta	\(\Theta\)
\iota	\(\iota\)	I	\(I\)	\kappa	\(\kappa\)	K	\(K\)
\lambda	\(\lambda\)	\Lambda	\(\Lambda\)	\mu	\(\mu\)	M	\(M\)
\nu	\(\nu\)	N	\(N\)	\xi	\(\xi\)	\Xi	\(\Xi\)
o	\(o\)	O	\(O\)	\pi	\(\pi\)	\Pi	\(\Pi\)
\rho	\(\rho\)	P	\(P\)	\sigma	\(\sigma\)	\Sigma	\(\Sigma\)
\tau	\(\tau\)	T	\(T\)	\upsilon	\(\upsilon\)	\Upsilon	\(\Upsilon\)
\phi	\(\phi\)	\Phi	\(\Phi\)	\chi	\(\chi\)	X	\(X\)
\psi	\(\psi\)	\Psi	\(\Psi\)	\omega	\(\omega\)	\Omega	\(\Omega\)

行间公式	Makedown
\(\frac{d}{dx}ae^{ax}=ae^{ax }\quad\sum_{i-1}^{n}{(x_i-\overline{x})^{2}}\)	\frac{d}{dx}ae^{ax}=ae^{ax }\quad\sum_{i-1}^{n}{(x_i-\overline{x})^{2}}
\(\frac{d}{dx}a^{ax}=ae^{ax}\) \(\sum_{i-1}^{n}(x_i-\overline{x})^{2}\)	\frac{d}{dx}ae^{ax}=ae^{ax } \sum_{i-1}^{n}{(x_i-\overline{x})^{2}}

算式	Markdown
\(\int ^a_bx^2{\rm d}x\)	\int ^a_bx^2{\rm d}x
\(\iint\)	\iint
\(\iiint\)	\iiint
\(\oint\)	\oint
\(\mathrm{d}\)	\mathrm
\(\prime\)	\prim
\(\lim\)	\lim
\(\infty\)	\infty
\(\partial\)	\partial
\(\sum\)	\sum

算式	Makedown
$$ \langle a \rangle$$	\angle a \rangle
\(\lceil a\rceil\)	\lceil a\rceil
\(\lfloor a\rfloor\)	\lfloor a\rfloor
\(\lbrace a\rbrace\)	\lbrace a\rbrace

小写形式	大写形式	变量形式	显示
\epsilon	E	\varepsilon	\(\epsilon \mid E \mid \varepsilon\)
\theta	\Theta	\vartheta	\(\theta \mid \Theta \mid \vartheta\)
\rho	P	\varrho	\(\rho \mid P \mid \varrho\)
\sigma	\Sigma	\varsigma	\(\sigma \mid \Sigma \mid \varsigma\)
\phi	\Phi	\varphi	\(\phi \mid \Phi \mid \varphi\)

输入	显示	输入	显示	输入	显示	输入	显示
\pm	\(\pm\)	\times	\(\times\)	\div	\(\div\)	\mid	\(\mid\)
\nmid	\(\nmid\)	\cdot	\(\cdot\)	\circ	\(\circ\)	\ast	\(\ast\)
\bigodot	\(\bigodot\)	\bigotimes	\(\bigotimes\)	\bigoplus	\(\bigoplus\)	\leq	\(\leq\)
\geq	\(\geq\)	\neq	\(\neq\)	\approx	\(\approx\)	\equiv	\(\equiv\)
\sum	\(\sum\)	\prod	\(\prod\)	\coprod	\(\coprod\)	\backslash	\(\backslash\)

输入	显示	输入	显示	输入	显示
\emptyset	\(\emptyset\)	\in	\(\in\)	\notin	\(\notin\)
\subset	\(\subset\)	\supset	\(\supset\)	\subseteq	\(\subseteq\)
\supseteq	\(\supseteq\)	\bigcap	\(\bigcap\)	\bigcup	\(\bigcup\)
\bigvee	\(\bigvee\)	\bigwedge	\(\bigwedge\)	\biguplus	\(\biguplus\)

输入	显示	输入	显示	输入	显示
30^\circ	\(30^\circ\)	\bot	\(\bot\)	\angle A	\(\angle A\)
\sin	\(\sin\)	\cos	\(\cos\)	\tan	\(\tan\)
\csc	\(\csc\)	\sec	\(\sec\)	\cot	\(\cot\)

输入	显示	输入	显示	输入	显示
\int	\(\int\)	\iint	\(\iint\)	\iiint	\(\iiint\)
\iiiint	\(\iiiint\)	\oint	\(\oint\)	\prime	\(\prime\)
\lim	\(\lim\)	\infty	\(\infty\)	\nabla	\(\nabla\)

输入	显示	输入	显示	输入	显示
\because	\(\because\)	\therefore	\(\therefore\)
\forall	\(\forall\)	\exists	\(\exists\)	\not\subset	\(\not\subset\)
\not<	\(\not<\)	\not>	\(\not>\)	\not=	\(\not=\)

输入	显示	输入	显示
\hat	\(\hat{xy}\)	\widehat	\(\widehat{xyz}\)
\tilde	\(\tilde{xy}\)	\widetilde	\(\widetilde{xyz}\)
\check	\(\check{x}\)	\breve	\(\breve{y}\)
\grave	\(\grave{x}\)	\acute	\(\acute{y}\)

输入	显示
\fbox	\(\fbox{a+b+c+d}\)
\overleftarrow	\(\overleftarrow{a+b+c+d}\)
\overrightarrow	\(\overrightarrow{a+b+c+d}\)
\overleftrightarrow	\(\overleftrightarrow{a+b+c+d}\)
\underleftarrow	\(\underleftarrow{a+b+c+d}\)
\underrightarrow	\(\underrightarrow{a+b+c+d}\)
\underleftrightarrow	\(\underleftrightarrow{a+b+c+d}\)
\overline	\(\overline{a+b+c+d}\)
\underline	\(\underline{a+b+c+d}\)
\overbrace{a+b+c+d}^	\(\overbrace{a+b+c+d}^{Sample}\)
\underbrace{a+b+c+d}_	\(\underbrace{a+b+c+d}_{Sample}\)
\overbrace{a+\underbrace{b+c}_{1.0}+d}^	\(\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}\)
\underbrace{a\cdot a\cdots a}_{b\text{ times}}	\(\underbrace{a\cdot a\cdots a}_{b\text{ times}}\)

输入	显示	输入	显示	输入	显示
\to	\(\to\)	\mapsto	\(\mapsto\)
\implies	\(\implies\)	\iff	\(\iff\)	\impliedby	\(\impliedby\)

输入	显示	输入	显示
\uparrow	\(\uparrow\)	\Uparrow	\(\Uparrow\)
\downarrow	\(\downarrow\)	\Downarrow	\(\Downarrow\)
\leftarrow	\(\leftarrow\)	\Leftarrow	\(\Leftarrow\)
\rightarrow	\(\rightarrow\)	\Rightarrow	\(\Rightarrow\)
\leftrightarrow	\(\leftrightarrow\)	\Leftrightarrow	\(\Leftrightarrow\)
\longleftarrow	\(\longleftarrow\)	\Longleftarrow	\(\Longleftarrow\)
\longrightarrow	\(\longrightarrow\)	\Longrightarrow	\(\Longrightarrow\)
\longleftrightarrow	\(\longleftrightarrow\)	\Longleftrightarrow	\(\Longleftrightarrow\)

输入	显示结果
\tiny	\(\tiny{A}\)
\scriptsize	\(\scriptsize{A}\)
\small	\(\small{A}\)
\normalsize	\(\normalsize{A}\)
\large	\(\large{A}\)
\Large	\(\Large{A}\)
\LARGE	\(\LARGE{A}\)
\huge	\(\huge{A}\)
\Huge	\(\Huge{A}\)

输入	说明	显示实例
`\rm`	罗马体	\(\rm{A}\)
`\cal`	花体	\(\cal{A}\)
`\it`	意大利体	\(\it{A}\)
`\Bbb`	黑板粗体	\(\Bbb{A}\)
`\bf`	粗体	\(\bf{A}\)
`\mit`	数学斜体	\(\mit{A}\)
`\sf`	等线体	\(\sf{AB}\)
`\scr`	手写体	\(\scr{AB}\)
`\tt`	打字机体	\(\tt{AB}\)
`\frak`	旧德式字体	\(\frak{AB}\)
`\boldsymbol`	黑体	\(\boldsymbol{AB}\)

输入	显示	输入	显示
black	\(\color{black}{A}\)	gray	\(\color{gray}{A}\)
silver	\(\color{sliver}{A}\)	white	\(\color{white}{A}\)
maroon	\(\color{maroon}{A}\)	red	\(\color{red}{A}\)
yellow	\(\color{yellow}{A}\)	lime	\(\color{lime}{A}\)
olive	\(\color{olive}{A}\)	green	\(\color{green}{A}\)
teal	\(\color{teal}{A}\)	auqa	\(\color{auqa}{A}\)
blue	\(\color{blue}{A}\)	navy	\(\color{navy}{A}\)
purple	\(\color{purple}{A}\)	fuchsia	\(\color{fuchsia}{A}\)

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