markdown公式

自用留档
本文主要内容是，在markdown文档中输入数学公式时所需的主要语法和部分符号。
不是所有的LaTex符号obsidian都支持渲染，本文所记录的符号均可在obsidian中正常显示。

行间公式$a+b=c$

$a+b=c$

整行公式
$$a+b=c$$

$$
a+b=c
$$

希腊字母

名称	大写	tex	小写	tex
alpha	$A$	A	$\alpha$	\alpha
beta	$B$	B	$\beta$	\beta
gamma	$\Gamma$	\Gamma	$\gamma$	\gamma
delta	$\Delta$	\Delta	$\delta$	\delta
epsilon	$E$	E	$ϵ$	\epsilon
			$\epsilon$	\varepsilon
zeta	$Z$	Z	$\zeta$	\zeta
eta	$H$	H	$\eta$	\eta
theta	$\Theta$	\Theta	$\theta$	\theta
			$\vartheta$	\vartheta
iota	$I$	I	$\iota$	\iota
kappa	$K$	K	$\kappa$	\kappa
lambda	$\Lambda$	\Lambda	$\lambda$	\lambda
mu	$M$	M	$\mu$	\mu
nu	$N$	N	$\nu$	\nu
xi	$\Xi$	\Xi	$\xi$	\xi
omicron	$O$	O	$o$	\omicron
pi	$\Pi$	\Pi	$\pi$	\pi
			$\varpi$	\varpi
rho	$P$	P	$\rho$	\rho
			$\varrho$	\varrho
sigma	$\Sigma$	\Sigma	$\sigma$	\sigma
			$\varsigma$	\varsigma
tau	$T$	T	$\tau$	\tau
upsilon	${\rm Y}$	\Upsilon	$\upsilon$	\upsilon
phi	$\Phi$	\Phi	$\varphi$	\phi
			$\phi$	\varphi
chi	$X$	X	$\chi$	\chi
psi	$\Psi$	\Psi	$\psi$	\psi
omega	$\Omega$	\Omega	$\omega$	\omega

基本符号

$$\times +-÷\cdot \otimes \oplus$$

 \times \quad + \quad - \quad  \div \quad \cdot \quad \otimes \quad \oplus \quad

$$\ne =\approx \sim \cong \equiv <>\le \ge$$

\neq \quad = \quad \approx \quad \sim \quad \cong \quad 
\equiv \quad \lt \quad \gt \quad \leq \quad \geq

上标、下标

$$a_1^2{a}_{12}^{11}{a^2}^2$$

a_1^2 \quad a_{12}^{11} \quad {a^2}^2 

括号

(a+b)[c+(d−e)]{ddd}{ddd} (a+b)[c+(d-e)] \quad \{ddd\} \quad \lbrace ddd \rbrace (a+b)[c+(d−e)]{ddd}{ddd}

(a+b)[c+(d-e)] \quad \{ddd\} \quad \lbrace ddd \rbrace

$$⟨x⟩\lceil x\rceil \lfloor x\rfloor$$

\langle x \rangle \quad \lceil x \rceil \quad \lfloor x \rfloor

大型符号

$$\sum _{n=1}^{\infty }\frac{1}{n^2}{\int }_{-\infty }^{x}f(t)\mathrm{d}t\iint f(x)dx\oint f(x)dx$$

\sum_{n=1}^\infty{\frac{1}{n^2}} \quad 
\int_{-\infty}^{x}{f(t)\,\mathrm{d}t} \quad 
\iint f(x)dx \quad 
\oint f(x)dx

$$\int {\int }_{D}f(x,y)\mathrm{d}x\mathrm{d}y\underset{n\to \infty }{\lim }\frac{1}{n^2-1}\prod \bigcup \bigcap$$

 \int\!\!\!\int_D f(x,y)\mathrm{d}x\mathrm{d}y \quad
 \lim_{n\to\infty}{\frac{1}{n^2-1}} \quad
 \prod \quad \bigcup \quad \bigcap

$$\frac{\mathrm{d}y}{\mathrm{d}x}\frac{\partial z}{\partial x}\Im [C]\Re [C]$$

函数

$$\sin \cos \tan \exp \log \lg \ln \max \min$$

\sin \quad \cos \quad \tan \quad \exp \quad
\log \quad \lg  \quad \ln  \quad \max \quad
\min \quad

大小括号

$$\left(\right(\left(\right((]\left]\right]]]$$

\Bigg(\bigg(\Big(\big((\Bigg]\bigg]\Big]\big]]

分数

$$\frac{a+b}{c+d}\frac{e+f}{g+h}$$

\frac{a+b}{c+d} \quad {e+f\over g+h}

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

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

根号

$$\sqrt{3}\sqrt[3]{\frac{x}{y}}$$

\sqrt{3} \quad \sqrt[3]{\frac xy}

矩阵

$$\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right)\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$$

\begin{matrix}
1&2&3\\
4&5&6\\
7&8&9
\end{matrix}
\quad
\begin{pmatrix}
1&2&3\\
4&5&6\\
7&8&9
\end{pmatrix}
\quad
\begin{bmatrix}
1&2&3\\
4&5&6\\
7&8&9
\end{bmatrix}

$$\left\{\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right\}\left|\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right|\Vert \begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\Vert$$

\begin{matrix}
1&2&3\\
4&5&6\\
7&8&9
\end{matrix}
\quad
\begin{pmatrix}
1&2&3\\
4&5&6\\
7&8&9
\end{pmatrix}
\quad
\begin{bmatrix}
1&2&3\\
4&5&6\\
7&8&9
\end{bmatrix}

$$\left(\begin{array}{ccccc}1& a_1& a_1^2& \cdots & a_1^n\\ 1& a_2& a_2^2& \cdots & a_2^n\\ ⋮& ⋮& ⋮& \ddots & ⋮\\ 1& a_m& a_m^2& \cdots & a_m^n\end{array}\right)$$

\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}

多行公式

$$\begin{array}{r}f(x)=6x^6+5x^5+4x^4\\ +3x^3+2x^2+x\end{array}$$

\begin{split}
f(x)=6x^6+5x^5+4x^4\\+3x^3+2x^2+x
\end{split}

$$\{\begin{array}{c}{a}_{1}x+b_{1}y+c_{1}z=d_1\\ a_{2}x+b_{2}y+c_{2}z=d_2\\ a_{3}x+b_{3}y+c_{3}z=d_3\end{array}$$

\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.

$$\begin{array}{rl}& a_{1}x+b_{1}z=d_1\\ & a_{2}x+b_{2}y+c_{2}z=d_2\\ & a_{3}x+b_{3}y+c_{3}z=d_3\end{array}$$

\begin{align}
&a_1x+b_1z=d_1 \\ 
&a_2x+b_2y+c_2z=d_2 \\ 
&a_3x+b_3y+c_3z=d_3
\end{align}

$$\begin{array}{r}{a}_{1}x+b_{1}yz=d_1\\ a_{2}x+b_{2}y+c_{2}z=d_2\\ a_{3}x+b_{3}y+c_{3}z=d_3\end{array}$$

\begin{align}
a_1x+b_1yz=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{align}

$$f(n)=\{\begin{array}{ll}\frac{n}{2},& ifniseven\\ 3n+1,& ifnisodd\end{array}$$

f(n)=
\begin{cases}
\cfrac n2, &if\ n\ is\ even\\[5ex]
3n + 1, &if\  n\ is\ odd
\end{cases}