Markdown mathematic formulars

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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/