# LaTeX練習

- 本練習參考【LaTeX】常用 LaTeX 數學符號指令(https://hackmd.io/@CynthiaChuang/Basic-LaTeX-Commands)

## 二元運算號

| $+$ | $-$ | $\pm$ | $\mp$ | $\times$ | $\ast$ | $\star$ | $\cdot$ | $\div$ | $\setminus$ | $\oplus$ | $\ominus$ | $\otimes$ | $\odot$ | $\oslash$ | $\bigcirc$ |
| ------ | -------- | -------- | ------- | --------- | ---------- | ---------------- | --------------- | ------ | ----------- | -------- | --------- | --------- | ------- | --------- | ---------- |
| $\vee$ | $\wedge$ | $\uplus$ | $\circ$ | $\bullet$ | $\diamond$ | $\triangleright$ | $\triangleleft$ |

## 二元關係符號
| $<$ | $>$ | $=$ | $\le$ | $\ge$ | $\equiv$ | $\ll$ | $\gg$ | $\doteq$ | $\prec$ | $\succ$ | $\sim$ | $\preceq$ | $\succeq$ | $\simeq$ |
| --------- | --------- | --------- | ----------- | ----------- | -------- | ----------- | ----------- | ------------- | ------------- | --------- | ------ | --------- | --------- | -------- |
| $\subset$ | $\supset$ | $\approx$ | $\subseteq$ | $\supseteq$ | $\cong$ | $\sqsubset$ | $\sqsupset$ | $\sqsubseteq$ | $\sqsupseteq$ | $\bowtie$ | $\in$ | $\ni$ | $\propto$ | $\vdash$ |
| $\dashv$ | $\models$ | $\perp$ | $\mid$ | $\parallel$ | $\smile$ | $\frown$ | $\asymp$ |

## 邏輯符號

| $\forall$ | $\exists$ | $\nexists$ | $\therefore$ | $\because$ | $\And$ | $\lor$ | $\vee$ | $\curlyvee$ | $\bigvee$ | $\land$ | $\wedge$ | $\curlywedge$ | $\bigwedge$ |
| --------- | --------- | ---------- | ------------ | ---------- | ------ | ------ | ------ | ----------- | --------- | ------- | -------- | ------------- | ----------- |

## 上標、下標及Head

| $a^b$ | $a_t$ | $a^b_t$ | $a^{b+1}_{t+1}$ | $\overline{m+n}$ | $\underline{m+n}$ | $\overbrace{m+\cdots+n}^{26}$ | $\underbrace{m+\cdots+n}_{26}$ | $\bar{a}$ |
| ----- | ----- | ------- | --------------- | ---------------- | ----------------- | ----------------------------- | ------------------------------ | --------- |
| $\widehat{abc}$ | $\overset{\frown} {ab}$ | $\vec{a}$ | $\hat{a}$ | $\dot{a}$ | $\overrightarrow{ab}$ | $\overleftarrow{ab}$ |

## 大尺寸運算符號
| $\sum$ | $\bigcap$ | $\bigcup$ | $\biguplus$ | $\bigsqcup$ | $\prod$ | $\coprod$ | $\bigodot$ | $\bigotimes$ | $\bigoplus$ | $\bigwedge$ | $\bigvee$ | $\int$ | $\oint$ |
| ------ | --------- | --------- | ----------- | ----------- | ------- | --------- | ---------- | ------------ | ----------- | ----------- | --------- | ------ | ------- |

## 標準函式符號
| $\sin$ | $\cos$ | $\tan$ | $\cot$ | $\sec$ | $\csc$ | $\arcsin$ | $\arccos$ | $\arctan$ | $\sinh$ |
| ------ | ------ | ------ | ------ | ------ | ------ | --------- | --------- | --------- | ------- |
| $\cosh$ | $\tanh$ | $\exp$ | $\log$ | $\ln$ | $\lim$ | $\liminf$ | $\limsup$ | $\inf$ | $\max$ |
| $\min$ | $\deg$ | $\arg$ | $\gcd$ |

## 根號與分數

| $\surd$ | $\sqrt{2}$ | $\sqrt[n]{}$ | $\sqrt[3]{2}$ | $\frac{2}{4}$ | $\tfrac{2}{4}$ | $\cfrac{2}{4}$ |
| ------- | ---------- | ------------ | ------------- | ------------- | -------------- | -------------- |

## 二項式係數

| $\dbinom{n}{r}$ | $\binom{n}{n-r}$ |
| --------------- | ---------------- |

## 箭號

| $\leftarrow$ | $\rightarrow$ | $\longleftarrow$ | $\longrightarrow$ | $\Leftarrow$ | $\Rightarrow$ | $\Longleftarrow$ | $\Longrightarrow$ | $\leftharpoonup$ |$\rightharpoonup$ | $\leftharpoondown$ | $\rightharpoondown$ |
| ------------ | ------------- | ---------------- | ----------------- | ------------ | ------------- | ---------------- | ----------------- | ---------------- | ----------------- | ---------------- | ---------------- |
| $\hookleftarrow$ | $\hookrightarrow$ | $\mapsto$ | $\longmapsto$ | $\leftrightarrow$ | $\longleftrightarrow$ | $\Leftrightarrow$ | $\Longleftrightarrow$ | $\rightleftharpoons$ | $\uparrow$ | $\downarrow$ | $\Uparrow$ | $\Downarrow$ | $\updownarrow$ | $\Updownarrow$
| $\nearrow$ | $\searrow$ | $\swarrow$ | $\nwarrow$ |

## 分隔符號
| $($ | $)$ | $[$ | $]$ | $\{$ | $\}$ | $\langle$ | $\rangle$ | $\lfloor$ | $\rfloor$ | $\lceil$ | $\rceil$ | $\vert$ | $\Vert$ | $/$ | $\backslash$ |
| --- | --- | --- | --- | ---- | ---- | --------- | --------- | --------- | --------- | -------- | -------- | ------- | ------- | --- | ------------ |

## 希臘字母

- 大寫字母

| $\Gamma$ | $\Delta$ | $\Lambda$ | $\Xi$ | $\Pi$ | $\Sigma$ | $\Upsilon$ | $\Phi$ | $\Psi$ | $\Omega$ |
| -------- | -------- | --------- | ----- | ----- | -------- | ---------- | ------ | ------ | -------- |

- 小寫字母

| $\alpha$ | $\beta$ | $\gamma$ | $\delta$ | $\epsilon$ | $\varepsilon$ | $\zeta$ | $\eta$ | $\theta$ | $\vartheta$ | $\iota$ | $\kappa$ | $\lambda$ | $\mu$ | $\nu$ | $\xi$ |
| -------- | ------- | -------- | -------- | ---------- | ------------- | ------- | ------ | -------- | ----------- | ------- | -------- | --------- | ----- | ----- | ----- |
| $o$ | $\pi$ | $\varpi$ | $\rho$ | $\varrho$ | $\sigma$ | $\varsigma$ | $\tau$ | $\upsilon$ | $\phi$ | $\varphi$ | $\chi$ | $\psi$ | $\omega$ |