Edit mathematical formulas in markdown

1. summary

stay Markdown To input mathematical formulas in LaTeX Grammar support .

2. Basic grammar

The general formula is divided into two forms , It can be understood as a special code block ,

In line formula :

$\Gamma (z)={\int }_0^{\infty }{t}^{z-1}{e}^{-t}dt.$

The block formula :

$$\Gamma (z)={\int }_0^{\infty }{t}^{z-1}{e}^{-t}dt.$$
Line formula , Is to add $, Followed by $ Composed of . The block formula is Input $$ and $$ Before and after the formula .

3. The Greek letter

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

4. Superscript and subscript

explain	Code	result
Epiglottic ^	$x^2$	$x^2$
Inferior infill _	$x_i$	$x_i$
	$\log_2 x$	$lo{g}_{2}x$

5. Brackets

Code	result
$(\frac{\sqrt x}{y^3})$	$(\frac{\sqrt{x}}{y^3})$
$\left(\frac{\sqrt x}{y^3}\right)$	$\left(\frac{\sqrt{x}}{y^3}\right)$
$\{ x \}$	$\{x\}$
$\vert x \vert$	$|x|$
$\Vert x \Vert$	$\Vert x\Vert$
$\langle x \rangle$	$*x*$
$\lceil x \rceil$	$\lceil x\rceil$
$\lfloor x \rfloor$	$\lfloor x\rfloor$

6. Sum and integral

Code	result
$\sum_1^n$	${\sum }_1^n$
$\sum_{i=0}^\infty i^2$	${\sum }_{i=0}^{\infty }{i}^2$
$\prod$	$\prod$
$\int$	$\int$
$\bigcup$	$\bigcup$
$\bigcap$	$\bigcap$
$\iint$	$\iint$
$\iiint$	$\iiint$

7. Fraction and radical

• The first one is , Use \frac ab,\frac Act on the next two groups a,b, The result is $\frac{a}{b}$ . If your numerator or denominator is not a single character , Please use {..} To group .
• The second kind , Use \over To separate the front and back parts of a group , Such as {a+1\over b+1}：$\frac{a+1}{b+1}$ .
  

Code	result
$\frac ab$	$\frac{a}{b}$
$\frac{a+1}{b+1}$	$\frac{a+1}{b+1}$
${a+1\over b+1}$	$\frac{a+1}{b+1}$
$\sqrt[x]{y}$	$\sqrt[x]{y}$

8. Multiline expressions

8.1 Classification expression

Basic grammar
\begin{cases}…\end{cases}
Use \\ To classify , If you want to increase the distance between vertical classifications , have access to \\[2ex] Instead of \\, Use & Indicates where alignment is required

f(n)=
\begin{cases}
\cfrac n5, &if\ n\ is\ even\\
5n + 5, &if\  n\ is\ odd
\end{cases}

$$f(n)=\{\begin{array}{ll}\frac{n}{5},& ifniseven\\ 5n+5,& ifnisodd\end{array}$$

8.2 Equations expression

Use \begin{array}...\end{array} And \left \{ And \right. Coordinate representation equations

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

$$\{\begin{array}{c}{a}_{1}x+b_{1}y+c_{1}z=d_1\\ a_{2}x+b_{2}y+c_{2}z=d_2\\ a_{3}x+b_{3}y+c_{3}z=d_3\end{array}$$
Be careful ： Usually MathJax Manage the space inside the formula through internal policies , therefore a…b And a…….b （. Said the blank space ） It will all show as ab . It can be done by ab Inter join \ , Add a little clearance ,\; Increase wider clearance ,\quad And \qquad Will add more clearance .

9. Special functions

Code	result
$\lim_{x\to 0}$	${\lim }_{x\to 0}$
$\sin x$	$\sin x$

10. Special symbols

Code	result
$\lt\, \gt\, \le\, \ge\, \neq,\not\lt$	$<>\le \ge \ne \nless$
$\times\, \div\, \pm\, \mp$	$\times ÷\pm \mp$
$\cup\, \cap\, \setminus\, \subset\, \subseteq \,\subsetneq \,\supset\, \in\, \notin\, \emptyset\, \varnothing$	$\cup \cap \setminus \subset \subseteq ⊊\supset \in \notin \varnothing \varnothing$
$\to\, \rightarrow\, \leftarrow\, \Rightarrow\, \Leftarrow\, \mapsto$	$\to \to \leftarrow \Rightarrow \Leftarrow \mapsto$
$\land\, \lor\, \lnot\, \forall\, \exists\, \top\, \bot\, \vdash\, \vDash$	$\wedge \vee \neg \forall \exists \top \perp ⊢\models$
$\star\, \ast\, \oplus\, \circ\, \bullet$	$\star \ast \oplus \circ \bullet$
$\approx\, \sim \, \simeq\, \cong\, \equiv\, \prec, \lhd$	$\approx \sim \simeq \cong \equiv \prec ⊲$
$\hat x$	$\hat{x}$
$\widehat{xy}$	$\widehat{xy}$
$\bar x$	$\bar{x}$
$\overline{xyz}$	$\overline{xyz}$
$\vec x$	$\vec{x}$
$\overrightarrow{xy}$	$\overrightarrow{xy}$
$\dot x^2$	${\dot{x}}^2$
$\ddot x$	$\ddot{x}$

11. matrix

Use \begin{matrix}…\end{matrix} This form is used to represent the matrix , stay \begin And \end Add elements in the matrix between . Between the rows of the matrix \\ Separate , Use between columns & Separate .

$$
\begin{matrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{matrix}
$$

$$\begin{array}{ccc}1& x& x^2\\ 1& y& y^2\\ 1& z& z^2\end{array}$$

11.1 Brackets

Code	result
$\begin{pmatrix}1 & 2 \\ 3 & 4\\ \end{pmatrix}$	$\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$
$\begin{bmatrix}1 & 2 \\ 3 & 4\\ \end{bmatrix}$	$\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]$
$\begin{Bmatrix}1 & 2 \\ 3 & 4\\ \end{Bmatrix}$	$\left\{\begin{array}{cc}1& 2\\ 3& 4\end{array}\right\}$
$\begin{vmatrix}1 & 2 \\ 3 & 4\\ \end{vmatrix}$	$\left|\begin{array}{cc}1& 2\\ 3& 4\end{array}\right|$
$\begin{Vmatrix}1 & 2 \\ 3 & 4\\ \end{Vmatrix}$	$\Vert \begin{array}{cc}1& 2\\ 3& 4\end{array}\Vert$

11.2 Elements are omitted

Use \cdots：⋯,\ddots：⋱ ,\vdots：⋮ To omit the elements in the matrix , Such as

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

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

Reference link ：
1.https://blog.csdn.net/lilongsy/article/details/79378620
2.https://www.jianshu.com/p/25f0139637b7