希腊字母
$$
\delta, \lambda \
\Delta, \Lambda \
\alpha, \beta \
\phi, \varphi \
\epsilon, \varepsilon
$$
上下标
$$
a^2, a_1 \
x^{y+z}, p_{ij}, p_{ij} \
x_i, x_{i} \
\text{A B}, \text{rm}
$$
分式与根式
$$
\frac{1}{2}, \frac{1}{2} \
\frac{1}{x+y} \
\frac{\frac{1}{x}+1}{y+1} \
\sqrt{2}, \sqrt{x+y}, \sqrt[3]{x+y}
$$
普通运算符
$$
+, - \
\times, \cdot, \div \
\pm, \mp, <, >, \geq, \leq, \gg, \ll, \neq, \approx, \equiv \
\cap, \cup, \in, \notin, \subseteq, \subsetneq, \varnothing \
\forall, \exists, \nexists \
\because, \therefore \
\mathbb{R}, \mathbb{Q}, \mathbb{N}, \mathbb{Z}+ \
\mathcal{F}, \mathscr{F} \
\cdots, \vdots, \ddots \
\infty, \partial, \nabla, \propto, ^\circ \
\sin x, \sec x, \cosh x \
\log_2 x, \ln x, \lg x \
\lim\limits{x \to 0} \frac{x}{\sin x} \
\max x
$$
大型运算符
$$
\sum,\prod\
\sum_i,\sum_{i=0}^N\
\frac{\sum\limits_{i=1}^n x_i}{\prod\limits_{i=1}^n x_i}\
\int,\iint,\iiint,\oint
\int_{-\infty}^0 f(x),\text d x\
a,a\
a\ a\
a\quad a\
a\qquad a\
$$
标注符号
$$
\vec{x}, \overrightarrow{AB} \
\bar{x}, \overline{AB}
$$
箭头
$$
\leftarrow,\Rightarrow,\Leftrightarrow,\Longleftarrow
$$
括号与定界符
$$
{}\
\lceil,\rceil,\lfloor,\rfloor.||\
\left(0,\frac 1 a\right]\
\left.\frac {\partial f}{\partial y}\right|_{x=0}
$$
多行公式
$$
\begin{align}
a&=b+c+d\
&=e+f
\end{align}
$$
大括号
$$
f(x)=
\begin{cases}
\sin x & -\pi\le x \le \pi\
0,& \text{其他}
\end{cases}
$$
矩阵
$$
\begin{matrix}
a & b & \cdots & c\
\vdots &\vdots &\ddots &\vdots\
e & f& \cdots & g
\end{matrix}
$$
$$
\begin{bmatrix}
a & b & \cdots & c\
\vdots &\vdots &\ddots &\vdots\
e & f& \cdots & g
\end{bmatrix}
$$
$$
\begin{pmatrix}
a & b & \cdots & c\
\vdots &\vdots &\ddots &\vdots\
e & f& \cdots & g
\end{pmatrix}
$$
$$
\begin{vmatrix}
a & b & \cdots & c\
\vdots &\vdots &\ddots &\vdots\
e & f& \cdots & g
\end{vmatrix}
$$
$$
\bf A,\bf B^{\rm T}
$$
实战演练
$$
f(x) = \frac{1}{\sqrt{2\pi}\sigma} e^{-\frac{(x-\mu)^2}{2\sigma^2}} \
f(x) = \frac{1}{\sqrt{2\pi}\sigma} \exp\left(-\frac{(x-\mu)^2}{2\sigma^2}\right)
$$
$$
\lim\limits_{N \to \infty} P \left{ \left| \frac{I\left(\alpha_i \right)}{N} - H(s) \right| < \varepsilon \right} = 1
$$
$$
x(n) = \frac{1}{2\pi} \int_{-\pi}^{\pi} X\left(e^{j\omega}\right) e^{j\omega n} , d\omega
$$
$$
\begin{align}
\vec{B} \left(\vec{r} \right) &= \frac{\mu_0}{4\pi} \oint_C \frac{I , {\rm d}\vec{l} \times \vec{R}}{R^3} \
&= \frac{\mu_0}{4\pi} \int_V \frac{\vec{J}_V \times \vec{R}}{R^3} , {\rm d}V’
\end{align}
$$
mermaid 图形：
graph LR
A(开始) -->
input[/输入a,b/] --> if{a%b=0 ?}
if --->|yes| f1[GCD = b] --> B(结束)
if --->|no| f2["a, b = b, a % b "]-->if
本文采用 署名-非商业性使用-相同方式共享 4.0 国际 许可协议，转载请注明出处。
