Live2D

# 插入数学公式

1. 行内公式$数学公式$
2. 行间公式$$数学公式$$

函数$L(Y,f(X))=(Y-f(X))^2$

$$L(Y,f(X))=(Y-f(X))^2$$


$L(Y,f(X))=(Y-f(X))^2$

$$L(Y,f(X))=(Y-f(X))^2 \tag{1}$$


$L(Y,f(X))=(Y-f(X))^2 \tag{1}$

## 上下标

n_x n^x


$$n_x$$ $$n^x$$

## 分数

$\frac{1}{N}$


$$\frac{1}{N}$$

## 括号

() []|都表示自己，但是{}需加\

$() [] | \{\}$


$$() [] | \{\}$$

## 上下划线

$$\begin{array} \overline{a+b} \\ \underline{a+b} \\ \overleftarrow{a+b} \\ \underleftarrow{a+b} \\ \underleftrightarrow{a+b} \\ \vec x = \vec{AB} \\ \overbrace {a+b}^\text{a,b} \\ a+\rlap{\overbrace{\phantom{b+c+d}}^m}b+\underbrace{c+d+e}_n+f \end{array}$$


$\begin{array} \overline{a+b} \\ \underline{a+b} \\ \overleftarrow{a+b} \\ \underleftarrow{a+b} \\ \underleftrightarrow{a+b} \\ \vec x = \vec{AB} \\ \overbrace {a+b}^\text{a,b} \\ a+\rlap{\overbrace{\phantom{b+c+d}}^m}b+\underbrace{c+d+e}_n+f \end{array}$

## 省略号

$$\begin{eqnarray*} \\ \ldots \\ \cdots \\ \vdots \\ \ddots \\ \end{eqnarray*}$$


$\begin{eqnarray*} \\ \ldots \\ \cdots \\ \vdots \\ \ddots \\ \end{eqnarray*}$

## 线性方程组

$$L(Y,f(X))= \begin{cases} 1,\quad &Y\neq f(X)\\ 0,\quad &Y=f(X) \end{cases}$$


$L(Y,f(X))= \begin{cases} 1,\quad &Y\neq f(X)\\ 0,\quad &Y=f(X) \end{cases}$

$$\left. \begin{gathered} S \subseteq T \\ S \supseteq T \end{gathered} \right\} \implies S = T$$


$\left. \begin{gathered} A \subseteq B \\ A \supseteq B \end{gathered} \right\} \implies A = B$

## 数学模式重音符

$$\hat{a} \check{a} \tilde{a} \acute{a} \grave{a} \dot{a} \ddot{a} \breve{a} \bar{a} \vec{a} \widehat{a} \widetilde{a}$$


$\hat{a} \check{a} \tilde{a} \acute{a}\\ \grave{a} \dot{a} \ddot{a} \breve{a}\\ \bar{a} \vec{a} \widehat{a} \widetilde{a}$

## 矩阵

$$X = \left[ \begin{matrix} x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ \end{matrix} \right]$$


$X = \left[ \begin{matrix} x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ x^{(1)} & x^{(2)} & \cdots & x^{(m)} \\ \end{matrix} \right]$

## 希腊字母

A A \alpha α
B B \beta β
\Gamma Γ \gamma γ
\Delta Δ \delta δ
E E \epsilon ϵ
Z Z \zeta ζ
H H \eta η
\Theta Θ \theta θ
I I \iota ι
K K \kappa κ
\Lambda Λ \lambda λ
M M \mu μ
N N \nu ν
\Xi Ξ \xi ξ
O O \omicron ο
\Pi Π \pi π
P P \rho ρ
\Sigma Σ \sigma σ
T T \tau τ
\Upsilon Υ \upsilon υ
\Phi Φ \phi ϕ
X X \chi χ
\Psi Ψ \psi ψ
\Omega Ω \omega ω

## 常用数学符号

\log_{x}y = \arccos z $$\log_{x}y = \arccos z$$
\frac{a} {b} $$\frac{a} {b}$$
_{a}^{b}\textrm{C} $$_{a}^{b}\textrm{C}$$
\frac{\partial {z_x}}{\partial x} $$\frac{\partial {z_x}}{\partial x}$$
\frac{\partial^2 {x}}{\partial x^2} $$\frac{\partial^2 {x}}{\partial x^2}$$
\frac{\mathrm{d} y}{\mathrm{d} x} $$\frac{\mathrm{d} y}{\mathrm{d} x}$$
\int x $$\int x$$
\int_{a}^{b}x $$\int_{a}^{b}x$$
\oint a $$\oint a$$
\oint_{a}^{b}C $$\oint_{a}^{b}C$$
\iint_{a}^{v}C $$\iint_{a}^{v}C$$
\bigcap A $$\bigcap A$$
\bigcap_{a}^{b}C $$\bigcap_{a}^{b}C$$
\bigcup c $$\bigcup c$$
\bigcup_{a}^{b}C $$\bigcup_{a}^{b}C$$
\lim_{c}X $$\lim_{c}X$$
\sum a $$\sum a$$
\sum_{a}^{b}C $$\sum_{a}^{b}C$$
\sqrt{X} $$\sqrt{X}$$
\sqrt[a]{X} $$\sqrt[a]{X}$$
\prod X $$\prod X$$
\prod_{a}^{b} X $$\prod_{a}^{b} X$$
\coprod X $$\coprod X$$
\coprod_{a}^{b} X $$\coprod_{a}^{b} X$$
\left [ a \right ] $$\left [ a \right ]$$
\left ( a\right ) $$\left ( a\right )$$
\left \{ a \right \} $$\left \{ a \right \}$$
\left \langle a \right \rangle $$\left \langle a \right \rangle$$
\left \lfloor a \right \rfloor $$\left \lfloor a \right \rfloor$$
\left \lceil a \right \rceil $$\left \lceil a \right \rceil$$
\supseteqq A $$\supseteqq A$$

## 二元关系符

$\begin{array} & < &\texttt{"<"} & > &\texttt{">"} &= &\texttt{"="}\\ \leq &\texttt{"\leq or \le"} & \geq &\texttt{"\geq or \ge"} &\equiv &\texttt{"\equiv"}\\ \ll &\texttt{"\ll"} & \gg &\texttt{"\gg"} &\doteq &\texttt{"\doteq"}\\ \prec &\texttt{"\prec"} & \succ &\texttt{"\succ"} &\sim &\texttt{"\sim"}\\ \preceq &\texttt{"\preceq"} & \succeq &\texttt{"\succeq"} &\simeq &\texttt{"\simeq"}\\ \subset &\texttt{"\subset"} & \supset &\texttt{"\supset"} &\approx &\texttt{"\approx"}\\ \subseteq &\texttt{"\subseteq"} & \supseteq &\texttt{"\supseteq"} &\approxeq &\texttt{"\approxeq"}\\ \sqsubset &\texttt{"\sqsubset"} & \sqsupset&\texttt{"\sqsupset"} &\Join &\texttt{"\Join"}\\ \sqsubseteq &\texttt{"\sqsubseteq"} & \sqsupseteq&\texttt{"\sqsupseteq"} &\bowtie &\texttt{"\bowtie"}\\ \in &\texttt{"\in"} & \ni &\texttt{"\ni or \owns"} &\propto &\texttt{"\propto"}\\ \vdash &\texttt{"\vdash"} & \dashv &\texttt{"\dashv"} &\models &\texttt{"\models"}\\ \mid &\texttt{"\mid"} & \parallel &\texttt{"\parallel"} &\perp &\texttt{"\perp"}\\ \smile &\texttt{"\smile"} & \frown &\texttt{"\frown"} &\asymp &\texttt{"\asymp"}\\ : &\texttt{":"} & \notin &\texttt{"\notin"} &\neq &\texttt{"\neq or \ne"}\\ \end{array}$

## 三角函数与逻辑数学字符

± \pm × \times
÷ \div | \mid
∤∤ \nmid \cdot
\circ \ast
\bigodot \bigotimes
\bigoplus \emptyset
\bigvee \bigwedge
\biguplus \bigsqcup
\angle 30^∘ 30 ^ \circ
sin \sin cos \cos
tan \tan cot \cot
\prime \iiint
\iiiint \infty
\nabla \because
\therefore \forall
\exists \not>
\not\subset sec \sec
\uparrow \downarrow
\Uparrow \Downarrow
\rightarrow \leftarrow
\Rightarrow \Leftarrow
\longrightarrow \longleftarrow
\Longrightarrow \Longleftarrow
\bot

## 数学字体

### 字体表

$\begin{array} \texttt{"normal"} &\texttt{} & ABCDEFGHIJKLMNOPQRSTUVWXYZ\\ \texttt{"blackboard"} &\texttt{\mathbb} &\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"boldface"} &\texttt{\mathbf} &\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"typewriter"} &\texttt{\mathtt} &\mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"roman"} &\texttt{\mathrm} &\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"sans-serif"} &\texttt{\mathsf} &\mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"calligraphic"}&\texttt{\mathcal} &\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"script"} &\texttt{\mathscr} &\mathscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \texttt{"fraktur"} &\texttt{\mathfrak}&\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\ \end{array}$

### 色彩表

$\begin{array} \hline \verb+\color{black}{黑色}+ & \color{black}{黑色} \\ \verb+\color{darkgray}{深灰}+ & \color{darkgray}{深灰}\\ \verb+\color{gray}{灰色}+ & \color{gray}{灰色} \\ \verb+\color{silver}{银色}+ & \color{silver}{银色} \\ \verb+\color{lightgray}{浅灰}+&\color{lightgray}{浅灰}\\ \verb+\color{white}{白色}+ & \color{white}{白色} \\ \hline \verb+\color{brown}{棕色}+ & \color{brown}{棕色} \\ \verb+\color{maroon}{栗色}+ & \color{maroon}{栗色} \\ \verb+\color{red}{红色}+ & \color{red}{红色} \\ \verb+\color{fuchsia}{桃红}+ & \color{fuchsia}{桃红} \\ \verb+\color{magenta}{品红}+ & \color{magenta}{品红} \\ \verb+\color{pink}{粉红}+ & \color{pink}{粉红} \\ \verb+\color{orange}{橙色}+ & \color{orange}{橙色} \\ \verb+\color{yellow}{黄色}+ & \color{yellow}{黄色} \\ \verb+\color{lime}{青柠}+ & \color{lime}{青柠} \\ \verb+\color{olive}{橄榄}+ & \color{olive}{橄榄} \\ \verb+\color{green}{绿色}+ & \color{green}{绿色} \\ \verb+\color{aqua}{水绿}+ & \color{aqua}{水绿} \\ \verb+\color{cyan}{青色}+ & \color{cyan}{青色} \\ \verb+\color{teal}{靛青}+ & \color{teal}{靛青} \\ \verb+\color{blue}{蓝色}+ & \color{blue}{蓝色} \\ \verb+\color{navy}{海蓝}+ & \color{navy}{海蓝} \\ \verb+\color{violet}{罗兰}+ & \color{purple}{罗兰} \\ \verb+\color{purple}{紫色}+ & \color{purple}{紫色} \\ \hline \end{array}参考$

https://www.cnblogs.com/nowgood/p/Latexstart.html

http://jzqt.github.io/2015/06/30/Markdown中写数学公式/

https://blog.csdn.net/u014630987/article/details/70156489

https://blog.csdn.net/cclethe/article/details/79022216

posted @ 2019-02-26 00:26  ITryagain  阅读(3345)  评论(0编辑  收藏  举报