Latex Math
[Math Notation](https://texonom.com/math-notation-6b674b56b03f4532869b78ed48bceee3) 


### `$ $` inline math, `$$ $$` math block
## Latex Default Math Grammars
- `\overline` $\overline{overline}$
- `\newline` $up \newline down$
- `\vec` $\vec{v}$
- `\ne` ≠
- `\leftarrow` $\leftarrow$
- `\rightarrow` $\rightarrow$
- $\xleftrightarrow[under]{over}$  `\xleftrightarrow[under]{over}`
- `\geq` ≤
- `\leq` ≥
- `\times` $a \times b$
- `\cdot` $a \cdot b$
- `\frac {} {}` $\frac{1}{2}$
- `\infty` $\infty$
- `\nabla` $\nabla$
- `\partial` $\partial$
- `\forall` $\forall$
- `\exists` $\exists$
- `\sum` $\sum_a^b$


### `\begin{tag}, end{tag}`
- pmatrix $\begin {pmatrix}1 & 2 &  3 \\3 & 4 & 5 \\6 & 7 & 8\end {pmatrix}$
- vmatrix $\begin {bmatrix}1 & 2 &  3 \\3 & 4 & 5 \\6 & 7 & 8\end {bmatrix}$
- vmatrix $\begin {vmatrix}1 & 2 &  3 \\3 & 4 & 5 \\6 & 7 & 8\end {vmatrix}$
- Vmatrix $\begin {Vmatrix}1 & 2 &  3 \\3 & 4 & 5 \\6 & 7 & 8\end {Vmatrix}$
- cases $\begin{cases}f(x), & \text{if a < 0}\\g(x), & \text{if a > 0}\end{cases}$

- `\ast` $\ast$



### Set
- `\subset` $\subset$
- `\supset` $\supset$
- `\ni` $\ni$
- `\in` $\in$
- `\notni` $\notni$
- `\notin` $\notin$
- `\cup` $\cup$
- `\bigcup` $\bigcup$
- `\cap` $ \cap$
### Latex Math Grammar
|Title|
|:-:|
|[LaTex Math Spacing](https://texonom.com/latex-math-spacing-7acb785a7df94f5b86e659b358222493)|


### Grammar
> [Untitled](https://www.math.uci.edu/~xiangwen/pdf/LaTeX-Math-Symbols.pdf)

### Matrix
> [[ LaTeX ] 행렬 표현하기 (matrix, pmatrix, bmatrix, Bmatrix, vmatrix, Vmatrix)](https://supermemi.tistory.com/entry/LaTeX-행렬-표현하기-matrix-pmatrix-bmatrix-Bmatrix-vmatrix-Vmatrix)

### cases
> [How to write conditional equations with one-sided curly brackets](https://tex.stackexchange.com/questions/47170/how-to-write-conditional-equations-with-one-sided-curly-brackets)

> [Arrow Types in LaTeX: A Complete List - LaTeX-Tutorial.com](https://latex-tutorial.com/arrow-latex/)





