From 840f13174ceba7b9ebce236b6ec39f7163ad5258 Mon Sep 17 00:00:00 2001 From: Awin Huang Date: Tue, 10 May 2022 14:08:44 +0800 Subject: [PATCH] =?UTF-8?q?Add=20post:=20TEX=E8=AA=9E=E6=B3=95=E5=B0=8F?= =?UTF-8?q?=E8=A8=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .gitignore | 3 +- content/posts/TEX語法小記/index.md | 131 +++++++++++++++++++++++++++++ 2 files changed, 133 insertions(+), 1 deletion(-) create mode 100644 content/posts/TEX語法小記/index.md diff --git a/.gitignore b/.gitignore index af6dfd4..65c35e0 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,3 @@ public -resources \ No newline at end of file +resources +.hugo_build.lock \ No newline at end of file diff --git a/content/posts/TEX語法小記/index.md b/content/posts/TEX語法小記/index.md new file mode 100644 index 0000000..6852022 --- /dev/null +++ b/content/posts/TEX語法小記/index.md @@ -0,0 +1,131 @@ +--- +slug: TEX語法小記 +title: TEX語法小記 +description: +toc: true +authors: + - awin +tags: + - tex +categories: + - Text Editor +series: + - Software note +date: 2019-12-09T00:00:00 +lastmod: 2019-12-09T00:00:00 +featuredVideo: +featuredImage: +draft: false +enableComment: true +--- + +最近需要在[notion.so](https://www.notion.so/)記一些公式，所以記錄一下TEX的寫法以供日後查詢。 +notion有支援TEX，但是只能是一個段落，不能寫在行內，不過看notion的blog有說不久的將來會新增，這點可以期待一下。 +方法很簡單，使用`/math`就可以建立一個section。唯一要注意的是不需要輸入TEX開頭與結尾的`$$`符號（或是`\(`與`\)`符號）。 +以下記錄一些我有用到的。 + +## **上標、下標** + +上標用`a^b`就是$a^b$，但是如果上標的字元不只一個字，就必須用`{}`包起來，例如：`a^{b+c}`才會是$a^{b+c}$，如果直接寫 `a^b+c`會變成$a^b+c$。 +下標則是`X_i`，跟上標一樣，如果下標字元不只一個字，也要用`{}`包起來，例如：`X_{i+1}`就是 $Xi+1$。 + +## **除法** + +`\frac{a-b}{c}` → $\frac{a-b}{c}$ + +## **開根號** + +`\sqrt{a+b+c}` → $\sqrt{a+b+c}$ + +## **加總** + +`\sum_{n=1}^{\infty} 2^{-n} = 1` → $\sum_{n=1}^{\infty} 2^{-n} = 1$ + +## **希臘字母** + +| | | | | | +|:-------------------|:---------------|:-----------------|:---------------|:----------------| +| α → `\alpha` | β → `\beta` | γ → `\gamma` | δ → `\delta` |ϵ → `\epsilon` | +| ε → `\varepsilon` | ζ → `\zeta` | η → `\eta` | θ → `\theta` |ϑ → `\vartheta` | +| ι → `\iota` | κ → `\kappa` | λ → `\lambda` | μ → `\mu` |ν → `\nu` | +| ξ → `\xi` | o → `o` | π → `\pi` | ϖ → `\varpi` | ρ → `\rho` | +| ϱ → `\varrho` | σ → `\sigma` | ς → `\varsigma` | τ → `\tau` | υ → `\upsilon` | +| ϕ → `\phi` | φ → `\varphi` | χ → `\chi` | ψ → `\psi` | ω → `\omega` | +| Γ → `\Gamma` | Δ → `\Delta` | Θ → `\Theta` | Λ → `\Lambda` | Ξ → `\Xi` | +| Π → `\Pi` | Σ → `\Sigma` | Υ → `\Upsilon` | Φ → `\Phi` | Ψ → `\Psi` | +| Ω → `\Omega` | + +## **運算元** + +| | | | | | +|:-------------------------|:-----------------------|:-----------------|:-----------------------|:----------------------| +| ± → `\pm` | ∩ → `\cap` | ⋄ → `\diamond` | ⊕ → `\oplus` | ∓ → `\mp` | +| ∪ → `\cup` | △ → `\bigtriangleup` | ⊖ → `\ominus` | × → `\times` | ⊎ → `\uplus` | +| ▽ → `\bigtriangledown` | ⊗ → `\otimes` | ÷ → `\div` | ⊓ → `\sqcap` | ◃ → `\triangleleft` | +| ⊘ → `\oslash` | ∗ → `\ast` | ⊔ → `\sqcup` | ▹ → `\triangleright` | ⊙ → `\odot` | +| ⋆ → `\star` | ∨ → `\vee` | ◯ → `\bigcirc` | ∘ → `\circ` | ∧ → `\wedge` | +| † → `\dagger` | ∙ → `\bullet` | ∖ → `\setminus` | ‡ → `\ddagger` | ⋅ → `\cdot` | +| ≀ → `\wr` | ⨿ → `\amalg` + +## **箭頭符號** + +| | | | | | +|:---------------------------------------------|:-----------------------------------------------|:-----------------------------------------|:-----------------------------------------------|:-------------------------------------| +| $\leftarrow$ → `\leftarrow` | $\longleftarrow$ → `\longleftarrow` | $\uparrow$ → `\uparrow` | $\Leftarrow$ → `\Leftarrow` | $\Longleftarrow$ → `\Longleftarrow` | +| $\Uparrow$ → `\Uparrow` | $\rightarrow$ → `\rightarrow` | $\longrightarrow$ → `\longrightarrow` | $\downarrow$ → `\downarrow` | $\Rightarrow$ → `\Rightarrow` | +| $\Longrightarrow$ → `\Longrightarrow` | $\Downarrow$ → `\Downarrow` | $\leftrightarrow$ → `\leftrightarrow` | $\longleftrightarrow$ → `\longleftrightarrow` | $\updownarrow$ → `\updownarrow` | +| $\Leftrightarrow$ → `\Leftrightarrow` | $\Longleftrightarrow$ → `\Longleftrightarrow` | $\Updownarrow$ → `\Updownarrow` | $\mapsto$ → `\mapsto` | $\longmapsto$ → `\longmapsto` | +| $\nearrow$ → `\nearrow` | $\hookleftarrow$ → `\hookleftarrow` | $\hookrightarrow$ → `\hookrightarrow` | $\searrow$ → `\searrow` | $\leftharpoonup$ → `\leftharpoonup` | +| $\rightharpoonup$ → `\rightharpoonup` | $\swarrow$ → `\swarrow` | $\leftharpoondown$ → `\leftharpoondown` | $\rightharpoondown$ → `\rightharpoondown` | $\nwarrow$ → `\nwarrow` | +| $\rightleftharpoons$ → `\rightleftharpoons` | $\iff$ → `\iff` | + +## **其他符號** + +| | | | | | +|:-------------------------------|:-------------------------------|:---------------------------------|:---------------------------------|:-------------------------------| +| $\leq,\le$ → `\leq,\le` | $\geq,\ge$ → `\geq,\ge` | $\equiv$ → `\equiv` | $\models$ → `\models` | $\prec$ → `\prec` | +| $\succ$ → `\succ` | $\sim$ → `\sim` | $\perp$ → `\perp` | $\preceq$ → `\preceq` | $\succeq$ → `\succeq` | +| $\simeq$ → `\simeq` | $\mid$ → `\mid` | $\ll$ → `\ll` | $\gg$ → `\gg` | $\asymp$ → `\asymp` | +| $\parallel$ → `\parallel` | $\subset$ → `\subset` | $\supset$ → `\supset` | $\approx$ → `\approx` | $\bowtie$ → `\bowtie` | +| $\subseteq$ → `\subseteq` | $\supseteq$ → `\supseteq` | $\cong$ → `\cong` | $\neq$ → `\neq` | $smile$ → `smile` | +| $\sqsubseteq$ → `\sqsubseteq` | $\sqsupseteq$ → `\sqsupseteq` | $\doteq$ → `\doteq` | $frown$ → `frown` | $\in$ → `\in` | +| $\ni$ → `\ni` | $\propto$ → `\propto` | $=$ → `=` | $\vdash$ → `\vdash`| $\dashv$ → `\dashv` | $]$ → `]` | +| $<$ → `<` | $>$ → `>` | $:$ → `:` | $\notin$ → `\notin` | $\sum$ → `\sum` | $[$ → `[` | +| $\prod$ → `\prod` | $\coprod$ → `\coprod` | $\int$ → `\int` | $\oint$ → `\oint` | $\bigcap$ → `\bigcap` | +| $\bigcup$ → `\bigcup` | $\bigsqcup$ → `\bigsqcup` | $\bigvee$ → `\bigvee` | $\bigwedge$ → `\bigwedge` | $\bigodot$ → `\bigodot` | +| $\bigotimes$ → `\bigotimes` | $\bigoplus$ → `\bigoplus` | $\biguplus$ → `\biguplus` | $\uparrow$ → `\uparrow` | $\Uparrow$ → `\Uparrow` | +| $\downarrow$ → `\downarrow` | $\Downarrow$ → `\Downarrow` | $\updownarrow$ → `\updownarrow` | $\Updownarrow$ → `\Updownarrow` | $\lfloor$ → `\lfloor` | +| $\rfloor$ → `\rfloor` | $\lceil$ → `\lceil` | $\rceil$ → `\rceil` | $\langle$ → `\langle` | $\rangle$ → `\rangle` | +| $/$ → `/` | $\backslash$ → `\backslash` | $\vert$ → `\vert` | $\Vert$ → `\Vert` | $\rmoustache$ → `\rmoustache` | +| $\lmoustache$ → `\lmoustache` | $\rgroup$ → `\rgroup` | $\lgroup$ → `\lgroup` | $\arrowvert$ → `\arrowvert` | $\Arrowvert$ → `\Arrowvert` | +| $\bracevert$ → `\bracevert` | $\mid$ → `\mid` | $($ → `(` | $)$ → `)` | + +## **字母字型** + +| | | | | | +|:-------------------------------------------|:-------------------------------------------|:---------------------------------------------|:---------------------------------------------|:---------------------------------------------- | +| $\mathrm{ABCDabcd}$ → `\mathrm{ABCDabcd}` | $\mathit{ABCDabcd}$ → `\mathit{ABCDabcd}` | $\mathcal{ABCDabcd}$ → `\mathcal{ABCDabcd}` | $\mathscr{ABCDabcd}$ → `\mathscr{ABCDabcd}` | $\mathfrak{ABCDabcd}$ → `\mathfrak{ABCDabcd}` | +| $\mathbb{ABCDabcd}$ → `\mathbb{ABCDabcd}` | + +## **括號的大小** + +`((x))`可以產生$((x))$，但如果要讓外圍的括號放大，就必須把外圍的括號加上`\big`才行。 +例如：`\big((x)\big)`表示$\big((x)\big)$ +由小到大可用的分別是`\big`、`\Big`、`\bigg`、`\Bigg` +例如： `\Bigg(\bigg(\Big(\big((a+b)+c\big)+d\Big)+e\bigg)+f\Bigg)`表示$\Bigg(\bigg(\Big(\big((a+b)+c\big)+d\Big)+e\bigg)+f\Bigg)$ + +## **矩陣** +用`\begin{bmatrix}`與`\end{bmatrix}`包起來，其中的行列用`\\`來換行。 +`\begin{bmatrix}a & b & c\\d & e & f\end{bmatrix}`表示\begin{bmatrix}a & b & c\\d & e & f\end{bmatrix} +或用pmatrix來產生括弧的矩陣： +`\begin{pmatrix}a & b & c\\d & e & f\end{pmatrix}`表示\begin{pmatrix}a & b & c\\d & e & f\end{pmatrix} + +## **對齊** +使用`\begin{align}`與`\end{align}`，其中上下行需要對齊的字元後面加上`&`。 +`\begin{align}y=a&+b+c+\\d&+e+f\end{align}`表示\begin{align}y=a&+b+c+\\d&+e+f\end{align} + +由於是`a&`與`d&`，可以看到a與d對齊了。 + +## **參考** +- [LaTeX for Beginners](http://www.docs.is.ed.ac.uk/skills/documents/3722/3722-2014.pdf) +- [LaTeX/Mathematics](https://en.wikibooks.org/wiki/LaTeX/Mathematics)