In articles which follow the Markdown format, mathematical formulars are expressed within the text or in block form. The basic form of expressing formulars are to place them between two dolor tags or between squre brackets. However, in the post template of this blog, the $ tag is recognized as an expression. So, in the inline formular of the expression in the text, the $ tag is applied to the thhe expression as in $\sqrt{3x-1}+(1+x)^2$.
$$
\sqrt{3x-1}+(1+x)^2
$$
Greek letters
Syntax 입력에 있어서 태그는 생략한다
| Output | Syntax | Output | Syntax |
|---|
| $A$ | A | $B$ | B |
| $\alpha$ | \alpha | $\beta$ | \beta |
| $\gamma$ | \gammma | $\Gamma$ | \Gamma |
| $\pi$ | \pi | $\Pi$ | \Pi |
| $\phi$ | \phi | $\Phi$ | \Phi |
| $\varphi$ | \varphi | $\theta$ | \theta |
Sinesoidal function
| Output | Syntax | Output | Syntax |
|---|
| $\cos$ | \cos | $\sin$ | \sin |
Mathematical symbols
| Output | Syntax | Output | Syntax |
|---|
| $\lim$ | \lim | $\exp$ | \exp |
| $\to$ | \to | $\infty$ | \infty |
| $\equiv$ | \equiv | $\bmod$ | \bmod |
| $\times$ | \times | $\sum$ | \sum |
| $\prod$ | \prod | $\coprod$ | \coprod |
| $\bigoplus$ | \bigoplus | $\bigotimes$ | \bigotimes |
| $\bigodot$ | \bigodot | $\bigcup$ | \bigcup |
| $\bigcap$ | \bigcap | $\biguplus$ | \biguplus |
| $\bigsqcup$ | \bigsqcup | $\bigvee$ | \bigvee |
| $\bigwedge$ | \bigwedge | $\int$ | \int |
| $\oint$ | \oint | $\iint$ | \iint |
| $\iiint$ | \iiint | $\idotsint$ | \idotsint |
| $a’$ | a` | $a^{\prime}$ | a^{\prime} |
| $a’’$ | a’’ | $\hat{a}$ | hat{a} |
| $\bar{a}$ | \bar{a} | $\grave{a}$ | \grave{a} |
| $\acute{a}$ | \acute{a} | $\dot{a}$ | \dot{a} |
| $\ddot{a}$ | \ddot{a} | $\not{a}$ | \not{a} |
| $\mathring{a}$ | \mathring{a} | $a’’’$ | a’’’ |
| $\overline{aaa}$ | \overline{aaa} | $\check{a}$ | \check{a} |
| $\vec{a}$ | \vec{a} | $\underline{a}$ | \underline{a} |
| $\overleftarrow{AB}$ | \overleftarrow{AB} | $\overrightarrow{AB}$ | \overrightarrow{AB} |
| $\pm$ | \pm | $\mp$ | \mp |
| $,$ | , | $:$ | : |
| $;$ | ; | $!$ | ! |
| $\dots$ | \dots | $\ldots$ | \ldots |
| $\cdots$ | \cdots | $\vdots$ | \vdots |
| $\ddots$ | \ddots | $\color{red}x$ | \color{red}x |
Mathematical expression
| Output | Syntax | Output | Syntax |
|---|
| $k_{n+1}$ | k_{n+1} | $n^2$ | n^2 |
| $k_n^2$ | k_n^2 | $\frac{n!}{k!(n-k)!}$ | \frac{n!}{k!(n-k)!} |
| $\binom{n}{k}$ | \binom{n}{k} | $\frac{\frac{x}{1}}{x - y}$ | \frac{\frac{x}{1}}{x - y} |
| $^3/_7$ | ^3/_7 | $\sqrt{k}$ | \sqrt{k} |
| $\sqrt[n]{k}$ | \sqrt[n]{k} | $\sum_{i=1}^{10} t_i$ | \sum_{i=1}^{10} t_i |
| $\int y, \mathrm{d}x$ | \int y, \mathrm{d}x | $\int y \mathrm{d}x$ | \int y \mathrm{d}x |
| $\int\limits_a^b$ | \int\limits_a^b | $\int_0^\infty \mathrm{e}^{-x},\mathrm{d}x$ | \int_0^\infty \mathrm{e}^{-x},\mathrm{d}x |
| $\sum_{\substack{0<i<m , 0<j<n}} P(i, j)$ | \sum_{\substack{0<i<m\0<j<n}} P(i, j) | | |
Brackets
| Output | Syntax | Output | Syntax |
|---|
| $(a)$ | (a) | $[a]$ | [a] |
| ${a}$ | {a} | $\langle f \rangle$ | \langle f \rangle |
| $\lfloor f \rfloor$ | \lfloor f \rfloor | $\lceil f \rceil$ | \lceil f \rceil |
| $\ulcorner f \urcorner$ | \ulcorner f \urcorner | | |
Reference
https://csrgxtu.github.io/2015/03/20/Writing-Mathematic-Fomulars-in-Markdown/