This repository shows the math formula expressions in markdown.
Here are some display problems but it works in vscode or some other software.

Enjoy!~

1. Greek alphabet

   spelling	lower-case	UPPER-case
   alpha	$\alpha$	$\Alpha$
   beta	$\beta$	$\Beta$
   gamma	$\gamma$	$\Gamma$
   delta	$\delta$	$\Delta$
   spsilon	$\epsilon$	$\Epsilon$
   eta	$\eta$	$\Eta$
   theta	$\theta$	$\Theta$
   lambda	$\lambda$	$\Lambda$
   mu	$\mu$	$\Mu$
   omega	$\omega$	$\Omega$
   pi	$\pi$	$\Pi$
   xi	$\xi$	$\Xi$
   tau	$\tau$	$\Tau$
   phi	$\phi$	$\Phi$
   psi	$\psi$	$\Psi$
   upsilon	$\upsilon$	$\Upsilon$
   nu	$\nu$	$\Nu$

2. In line$f(x) = x$ formula

3. Paragraph $$f(x) = x$$

4. Superscript $$x^2$$

5. Subscript $$x_i$$

6. Brackets $$\lbrace a+x \rbrace$$ $$ f(x)=\begin{cases} 1, & x>0\ 0, & x=0\ -1, & x<0 \end{cases} $$ $$ \langle anglebracket \rangle $$ $$ f(x)=\begin{cases} 1, & x>0\ 0, & x=0\ -1, & x<0 \end{cases} $$ $$ \langle anglebracket \rangle $$ $$ \lceil \frac{x}{2} \rceil $$ $$ \lfloor \frac{3}{x} \rfloor $$ Note: the original brackets will not be scaled, such as: $$ \lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+1}\rbrace $$ When you need to scale brackets, you can add \left \right $$\left\lbrace \sum_{i=0}^{n}i^{2}=\frac{2a}{x^2+2} \right\rbrace$$

7. Summation and integration
   \sum represents the sum, subscript represents the lower limit of the sum, and superscript represents the upper limit of the sum, for example: $$ \sum_i^n $$ \int denotes integral. Similarly, subscript denotes lower limit of integral and superscript denotes upper limit of integral. For example: $$ \int_{1}^{\infty} $$ Similar symbols include: $$ \prod_{1}^{n}\ \bigcup_{1}^{n}\ \int_{1}^{n} $$

8. Fraction and radical
   |$$\frac{2}{3}55$$| $$ \frac{2}{3} 55 $$

9. Font
   

10. Special functions and symbols
    $$ \sum_{i=0}^{n}$$ $$ \prod$$ $$ \lim_{x\to+\infty}$$ $$ x_n\stackrel{p}\longrightarrow0$$ $\vec{a}$ $\overrightarrow{a}$ $$ \hat y=a\hat x+b$$ $$ \mathtt{X}'$$ $$ \overline{P}$$ $$ \overbrace{P+Q}$$ $$ \sqrt[3]{2}$$

11. Forms
    

    a	b	c
    Align left	Center	Align right

12. Matrix
    $$ \begin{matrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{matrix} \tag{1}$$ $$ \begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} \tag{1.1}$$ $$ \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \tag{1.2}$$ $$ \begin{Bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{Bmatrix} \tag{1.3}$$ $$ \begin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} \tag{1.4}$$ $$ \begin{Vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{Vmatrix} \tag{1.5}$$ $$ \left{ \begin{matrix} 1 & 2 &3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{matrix} \right} \tag{2}$$ $$ \left[ \begin{matrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{matrix} \right] \tag{3}$$ $$ \begin{bmatrix} a_{11}&a_{12}&\cdots&a_{1n}\ a_{21}&a_{22}&\cdots&a_{2n}\ \vdots&\vdots&\ddots&\vdots\ a_{m1}&a_{m2}&\cdots&a_{mn}\ \end{bmatrix}$$

13. Formula
    $$ \begin{aligned} a &=b+c\ & = d + e + f \end{aligned} $$

14. Relational operator
    $\lt$ $\le$ $\leq$ $\leqq$ $\leqslant$
    $\gt$ $\ge$ $\geq$ $\geqq$ $\geqslant$
    $\neq$ $\approx$ $\prec$
    $\sim$ $\simeq$ $\cong$
    $\because$ $\therefore$

15. Arithmetic operator
    $\times$ $\div$
    $\pm$ $\mp$ $\cdot$

16. Set operators
    $\cup$ $\cap$ $\setminus$
    $\subset$ $\subseteq$ $\subsetneq$ $\supset$
    $\in$ $\notin$
    $\emptyset$ $\varnothing$

17. Arrow operator
    $\to$ $\rightarrow$ $\Rightarrow$
    $\uarr$ $\darr$
    $\leftarrow$ $\Leftarrow$
    $\harr$ $\hArr$

18. Other operator
    $\infty$ $\partial$
    $\top$ $\bot$
    $\forall$ $\exists$
    $\nabla$ $\triangle$
    $\parallel$ $\ell$
    $\oplus$ $\bigoplus$
    $\circ$ $\bullet$
    $\star$ $\ast$
    There is no royal road to learning.