Markdown数学公式

分数，平方

算式	markdown
\(\frac{7x+5}{1+y^2}\)	\frac{7x+5}{1+y^2}

下标

算式	markdown
\(z=z_l\)	z=z_l

省略号

省略号	markdown
\(\cdots\)	\cdots

行间公式（使用两个$包含公式可以独立一行)

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

开根号

算式	markdown
\(\sqrt{2}\);\(\sqrt[n]{3}\)	\sqrt{2};\sqrt[n]{3}

矢量

算式	markdown
\(\vec{a} \cdot \vec{b}=0\)	\vec{a} \cdot \vec{b}=0

微积分

算式	markdown
\(\int_3^2 x^2{\rm d}x\)	\int ^2_3 x^2 {\rm d}<sup id="fnref:1" class="footnote-ref"><a href="#fn:1" rel="footnote"><span class="hint--top hint--rounded" aria-label="微分符号d竖立表达 {\rm d}">[1]</span></a></sup>x
\(\int\)	\int
\(\iint\)	\iint
\(\iiint\)	\iiint
\(\oint\)	\oint
\(\oiint\)	\oiint
\(\mathrm{d}\)	\mathrm{d}
\(\prime\)	\prime
\(f ^\prime\)	f ^\prime
\(\lim\)	\lim
\(\infty\)	\infty
\(\partial\)	\partial
\(\left.\frac{\partial f(x,y)}{\partial x} \right|_{x=0}\)	\left.\frac{\partial f(x,y)}{\partial x} \right\|_{x=0}
\(\sum\)	\sum

极限

算式	markdown
\(\lim_{n \rightarrow + \infty} n\)	\lim_{n \rightarrow + \infty} n

累加

算式	markdown
\(\sum \frac{1}{i^2}\)	\sum \frac{1}{i^2}

累乘

算式	markdown
\(\prod \frac{1}{i^2}\)	\prod \frac{1}{i^2}

给公式编号

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

e^{i}=+i

矩阵

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

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

带括号的矩阵

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

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

符号	形式	markdown
pmatrix	\[\begin{pmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{pmatrix}\]
bmatrix	\[\begin{bmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{bmatrix}\]
Bmatrix	\[\begin{Bmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{Bmatrix}\]
vmatrix	\[\begin{vmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{vmatrix}\]
Vmatrix	\[\begin{Vmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{Vmatrix}\]

希腊字母

大写	markdown	小写	markdown
\(\Alpha\)		\(\alpha\)
\(\Beta\)		\(\beta\)
\(\Gamma\)		\(\gamma\)
\(\Delta\)		\(\delta\)
\(\Epsilon\)		\(\epsilon\)
		\(\varepsilon\)
\(\Zeta\)		\(\zeta\)
\(\Eta\)		\(\eta\)
\(\Theta\)		\(\theta\)
\(\Iota\)		\(\iota\)
\(\Kappa\)		\(\kappa\)
\(\Mu\)		\(\mu\)
\(\Nu\)		\(\nu\)
\(\Xi\)		\(\xi\)
\(\Omicron\)		\(\omicron\)
\(\Pi\)		\(\pi\)
\(\Rho\)		\(\rho\)
\(\Sigma\)		\(\sigma\)
\(\Tau\)		\(\tau\)
\(\Upsilon\)		\(\upsilon\)
\(\Phi\)		\(\phi\)
		\(\varphi\)
\(\Chi\)		\(\chi\)
\(\Psi\)		\(\psi\)
\(\Omega\)		\(\omega\)

三角函数

函数名	markdown
\(\sin^2{15\degree}\)	\sin^2{15 \degree}
\(\cos\)	\cos
\(\tan\)	\tan
\(\arcsin\)	\arcsin
\(\arccos\)	\arccos
\(\arctan\)	\arctan

关系运算符

运算符	markdown
\(\pm\)	\pm
\(\times\)	\times
\(\div\)	\div
\(\sum\)	\sum
\(\prod\)	\prod
\(\neq\)	\neq
\(\leq\)	\leq
\(\geq\)	\geq

括号

括号类型	形式	markdown
大括号	\(\lbrace a+x \rbrace\)	\lbrace a+x \rbrace
尖括号	\(\langle x \rangle\)	\langle x \rangle
向上取整	\(\lceil \frac{x}{2} \rceil\)	\lceil \frac{x}{2} \rceil
向下取整	\(\lfloor x \rfloor\)	\lfloor x \rfloor
普通括号	\(\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \rbrace\)	\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \rbrace
全包括号	\(\left\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \right\rbrace\)	\left\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1} \right\rbrace
花括号	$c(u)=	c(u)=\begin{cases} \sqrt\frac{1}{N}，u=0\\ \sqrt\frac{2}{N}， u\neq0\end{cases}

1. 微分符号d竖立表达 {} ↩︎