422 lines
11 KiB
Markdown
422 lines
11 KiB
Markdown
LaTeX 备忘清单
|
||
===
|
||
|
||
本备忘单总结了 [LaTeX](https://www.latex-project.org/) 常用显示数学符号的参考列表和一些 [KaTeX](https://katex.org/) 的应用示例。
|
||
|
||
入门
|
||
---
|
||
|
||
### 介绍
|
||
|
||
[LaTeX](https://www.latex-project.org/) 基于 TEX 的排版系统，适用于生成高印刷质量的科技和数学、物理文档。
|
||
|
||
- [LaTeX 官网](https://www.latex-project.org/) _(latex-project.org)_
|
||
- [KaTeX 官网](https://katex.org/) _(katex.org)_
|
||
|
||
而 [KaTeX](https://katex.org/) 只处理 LaTeX 的数学符号的一个更小的子集，用于 web 上展示
|
||
|
||
### 示例
|
||
|
||
```KaTeX
|
||
% \f is defined as #1f(#2) using the macro
|
||
f\relax(x) = \int_{-\infty}^\infty
|
||
f\hat\xi\,e^{2 \pi i \xi x}
|
||
\,d\xi
|
||
```
|
||
|
||
---
|
||
|
||
```LaTeX
|
||
% \f is defined as #1f(#2) using the macro
|
||
f\relax(x) = \int_{-\infty}^\infty
|
||
f\hat\xi\,e^{2 \pi i \xi x}
|
||
\,d\xi
|
||
```
|
||
|
||
### 行内展示
|
||
|
||
```markdown
|
||
基于 KaTeX 在一行
|
||
展示示例： `KaTeX:\int_0^\infty x^2 dx`
|
||
```
|
||
|
||
基于 KaTeX 在一行展示示例： `KaTeX:\int_0^\infty x^2 dx`
|
||
|
||
Supported Functions
|
||
---
|
||
|
||
### Accents
|
||
<!--rehype:wrap-class=col-span-2 row-span-2-->
|
||
|
||
:- | :- | :-
|
||
:- | :- | :-
|
||
`KaTeX:a'` <pur>`a'`</pur> | `KaTeX:\tilde{a}` <pur>`\tilde{a}`</pur> | `KaTeX:\mathring{g}` <pur>`\mathring{g}`</pur>
|
||
`KaTeX:a''` <pur>`a''`</pur> | `KaTeX:\widetilde{ac}` <pur>`\widetilde{ac}`</pur> | `KaTeX:\overgroup{AB}` <pur>`\overgroup{AB}`</pur>
|
||
`KaTeX:a^{\prime}` <pur>`a^{\prime}`</pur> | `KaTeX:\utilde{AB}` <pur>`\utilde{AB}`</pur> | `KaTeX:\undergroup{AB}` <pur>`\undergroup{AB}`</pur>
|
||
`KaTeX:\acute{a}` <pur>`\acute{a}`</pur> | `KaTeX:\vec{F}` <pur>`\vec{F}`</pur> | `KaTeX:\Overrightarrow{AB}` <pur>`\Overrightarrow{AB}`</pur>
|
||
`KaTeX:\bar{y}` <pur>`\bar{y}`</pur> | `KaTeX:\overleftarrow{AB}` <pur>`\overleftarrow{AB}`</pur> | `KaTeX:\overrightarrow{AB}` <pur>`\overrightarrow{AB}`</pur>
|
||
`KaTeX:\breve{a}` <pur>`\breve{a}`</pur> | `KaTeX:\underleftarrow{AB}` <pur>`\underleftarrow{AB}`</pur> | `KaTeX:\underrightarrow{AB}` <pur>`\underrightarrow{AB}`</pur>
|
||
`KaTeX:\check{a}` <pur>`\check{a}`</pur> | `KaTeX:\overleftharpoon{ac}` <pur>`\overleftharpoon{ac}`</pur> | `KaTeX:\overrightharpoon{ac}` <pur>`\overrightharpoon{ac}`</pur>
|
||
`KaTeX:\dot{a}` <pur>`\dot{a}`</pur> | `KaTeX:\overleftrightarrow{AB}` <pur>`\overleftrightarrow{AB}`</pur> | `KaTeX:\overbrace{AB}` <pur>`\overbrace{AB}`</pur>
|
||
`KaTeX:\ddot{a}` <pur>`\ddot{a}`</pur> | `KaTeX:\underleftrightarrow{AB}` <pur>`\underleftrightarrow{AB}`</pur> | `KaTeX:\underbrace{AB}` <pur>`\underbrace{AB}`</pur>
|
||
`KaTeX:\grave{a}` <pur>`\grave{a}`</pur> | `KaTeX:\overline{AB}` <pur>`\overline{AB}`</pur> | `KaTeX:\overlinesegment{AB}` <pur>`\overlinesegment{AB}`</pur>
|
||
`KaTeX:\hat{\theta}` <pur>`\hat{\theta}`</pur> | `KaTeX:\underline{AB}` <pur>`\underline{AB}`</pur> | `KaTeX:\underlinesegment{AB}` <pur>`\underlinesegment{AB}`</pur>
|
||
`KaTeX:\widehat{ac}` <pur>`\widehat{ac}`</pur> | `KaTeX:\widecheck{ac}` <pur>`\widecheck{ac}`</pur> | `KaTeX:\underbar{X}` <pur>`\underbar{X}`</pur>
|
||
|
||
### \text｛…｝中的强调功能
|
||
|
||
:- | :- | :-
|
||
:- | :- | :-
|
||
`KaTeX:\'{a}` <pur>`\'{a}`</pur> | `KaTeX:\~{a}` <pur>`\~{a}`</pur> |
|
||
`KaTeX:\.{a}` <pur>`\.{a}`</pur> | `KaTeX:\H{a}` <pur>`\H{a}`</pur> |
|
||
``KaTeX:\\\`{a}`` <pur><code>\\`{a}</code></pur> | `KaTeX:\={a}` <pur>`\={a}`</pur> |
|
||
`KaTeX:\"{a}` <pur>`\"{a}`</pur> | `KaTeX:\v{a}` <pur>`\v{a}`</pur> |
|
||
`KaTeX:\^{a}` <pur>`\^{a}`</pur> | `KaTeX:\u{a}` <pur>`\u{a}`</pur> |
|
||
`KaTeX:\r{a}` <pur>`\r{a}`</pur> |
|
||
|
||
### Delimiter Sizing
|
||
|
||
:- | :-
|
||
:- | :-
|
||
`KaTeX:\left(\LARGE{AB}\right)` | <pur>`\left(\LARGE{AB}\right)`</pur>
|
||
`KaTeX:( \big( \Big( \bigg( \Bigg(`| <pur>`( \big( \Big( \bigg( \Bigg(`</pur>
|
||
|
||
---
|
||
|
||
:- | :- | :- | :- | :-
|
||
:- | :- | :- | :- | :-
|
||
`\left` | `\big` | `\bigl` | `\bigm` | `\bigr`
|
||
`\middle` | `\Big` | `\Bigl` | `\Bigm` | `\Bigr`
|
||
`\right` | `\bigg` | `\biggl` | `\biggm` | `\biggr`
|
||
`` | `\Bigg` | `\Biggl` | `\Biggm` | `\Biggr`
|
||
|
||
### 分隔符 Delimiters
|
||
<!--rehype:wrap-class=col-span-3-->
|
||
|
||
预览 | 方法 | 预览 | 方法 | 预览 | 方法 | 预览| 方法 | 预览 | 方法
|
||
:- | :- | :- | :- | :- | :- | :- | :- | :- | :-
|
||
| `KaTeX:()` | <pur>`()`</pur> | `KaTeX:\lparen \rparen` | <pur>`\lparen` `\rparen`</pur> | `KaTex:⌈ ⌉` | <pur>`⌈ ⌉`</pur> | `KaTex:\lceil \rceil` | <pur>`\lceil` `\rceil`</pur> | `KaTex:\uparrow` | <pur>`\uparrow`</pur> |
|
||
| `KaTeX:[]` | <pur>`[]`</pur> | `KaTeX:\lbrack \rbrack` | <pur>`\lbrack` `\rbrack`</pur> | `KaTex:⌊ ⌋` | <pur>`⌊ ⌋`</pur> | `KaTex:\lfloor \rfloor` | <pur>`\lfloor` `\rfloor`</pur> | `KaTex:\downarrow` | <pur>`\downarrow`</pur> |
|
||
| `KaTeX:\{ \}` | <pur>`{}`</pur> | `KaTex:\lbrace \rbrace` | <pur>`\lbrace` `\rbrace`</pur> | `KaTex:⎰⎱` | <pur>`⎰⎱`</pur> | `KaTex:\lmoustache \rmoustache` | <pur>`\lmoustache` `\rmoustache`</pur> | `KaTex:\updownarrow` | <pur>`\updownarrow`</pur> |
|
||
| `KaTeX:⟨ ⟩` | <pur>`⟨⟩`</pur> | `KaTex:\langle \rangle` | <pur>`\langle` `\rangle`</pur> | `KaTex:⟮ ⟯` | <pur>`⟮ ⟯`</pur> | `KaTex:\lgroup \rgroup` | <pur>`\lgroup` `\rgroup`</pur> | `KaTex:\Uparrow` | <pur>`\Uparrow`</pur> |
|
||
| `KaTeX:∣` | <pur>`\|`</pur> | `KaTex:\vert` | <pur>`\vert`</pur> | `KaTex:┌ ┐` | <pur>`┌ ┐`</pur> | `KaTex:\ulcorner \urcorner` | <pur>`\ulcorner` `\urcorner`</pur> | `KaTex:\Downarrow` | <pur>`\Downarrow`</pur> |
|
||
| `KaTeX:\|` _(<red>MD语法冲突</red>)_ | <pur><code>\\|</code></pur> | `KaTex:\Vert` | <pur>`\Vert`</pur> | `KaTex:└ ┘` | <pur>`└ ┘`</pur> | `KaTex:\llcorner \lrcorner` | <pur>`\llcorner` `\lrcorner`</pur> | `KaTex:\Updownarrow` | <pur>`\Updownarrow`</pur> |
|
||
| `KaTeX:∣ ∣` | <pur>`\lvert` `\rvert`</pur> | `KaTex:\lVert \rVert` | <pur>`\lVert` `\rVert`</pur> | | <pur>`\left.`</pur> | | <pur>`\right.`</pur> | `KaTex:\backslash` | <pur>`\backslash`</pur> |
|
||
| `KaTeX:\lang` `KaTeX:\rang` | <pur>`\lang` `\rang`<pur> | `KaTeX:\lt \gt` | <pur>`\lt \gt`</pur> | `KaTex:⟦ ⟧` | <pur>`⟦ ⟧`</pur> | `KaTex:\llbracket \rrbracket` | <pur>`\llbracket` `\rrbracket`</pur> | `KaTex:\lBrace \rBrace` | <pur>`\lBrace \rBrace`</pur> |
|
||
<!--rehype:className=show-header left-align-->
|
||
|
||
Environments
|
||
---
|
||
|
||
### Environments 1
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{matrix}
|
||
a & b \\
|
||
c & d
|
||
\end{matrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{matrix}
|
||
a & b \\
|
||
c & d
|
||
\end{matrix}
|
||
```
|
||
|
||
### Environments 2
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{array}{cc}
|
||
a & b \\
|
||
c & d
|
||
\end{array}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{array}{cc}
|
||
a & b \\
|
||
c & d
|
||
\end{array}
|
||
```
|
||
|
||
### Environments 3
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{pmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{pmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{pmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{pmatrix}
|
||
```
|
||
|
||
### Environments 4
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{bmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{bmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{bmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{bmatrix}
|
||
```
|
||
|
||
### Environments 5
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{vmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{vmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{vmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{vmatrix}
|
||
```
|
||
|
||
### Environments 6
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{Vmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{Vmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{Vmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{Vmatrix}
|
||
```
|
||
|
||
### Environments 7
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{Bmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{Bmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{Bmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{Bmatrix}
|
||
```
|
||
|
||
### Environments 8
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\def\arraystretch{1.5}
|
||
\begin{array}{c:c:c}
|
||
a & b & c \\ \hline
|
||
d & e & f \\
|
||
\hdashline
|
||
g & h & i
|
||
\end{array}
|
||
```
|
||
|
||
```LaTeX
|
||
\def\arraystretch{1.5}
|
||
\begin{array}{c:c:c}
|
||
a & b & c \\ \hline
|
||
d & e & f \\
|
||
\hdashline
|
||
g & h & i
|
||
\end{array}
|
||
```
|
||
|
||
### Environments 9
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
x = \begin{cases}
|
||
a &\text{if } b \\
|
||
c &\text{if } d
|
||
\end{cases}
|
||
```
|
||
|
||
```LaTeX
|
||
x = \begin{cases}
|
||
a &\text{if } b \\
|
||
c &\text{if } d
|
||
\end{cases}
|
||
```
|
||
|
||
### Environments 10
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{rcases}
|
||
a &\text{if } b \\
|
||
c &\text{if } d
|
||
\end{rcases}⇒…
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{rcases}
|
||
a &\text{if } b \\
|
||
c &\text{if } d
|
||
\end{rcases}⇒…
|
||
```
|
||
|
||
### Environments 11
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{smallmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{smallmatrix}
|
||
```
|
||
|
||
```LaTeX
|
||
\begin{smallmatrix}
|
||
a & b \\
|
||
c & d
|
||
\end{smallmatrix}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\sum_{
|
||
\begin{subarray}{l}
|
||
i\in\Lambda\\
|
||
0<j<n
|
||
\end{subarray}}
|
||
```
|
||
|
||
```LaTeX
|
||
\sum_{
|
||
\begin{subarray}{l}
|
||
i\in\Lambda\\
|
||
0<j<n
|
||
\end{subarray}}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{equation}
|
||
\begin{split} a &=b+c\\
|
||
&=e+f
|
||
\end{split}
|
||
\end{equation}
|
||
```
|
||
<!--rehype:style=flex:1;-->
|
||
|
||
```LaTeX
|
||
\begin{equation}
|
||
\begin{split} a &=b+c\\
|
||
&=e+f
|
||
\end{split}
|
||
\end{equation}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{align}
|
||
a&=b+c \\
|
||
d+e&=f
|
||
\end{align}
|
||
```
|
||
<!--rehype:style=flex:1;-->
|
||
|
||
```LaTeX
|
||
\begin{align}
|
||
a&=b+c \\
|
||
d+e&=f
|
||
\end{align}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{gather}
|
||
a=b \\
|
||
e=b+c
|
||
\end{gather}
|
||
```
|
||
<!--rehype:style=flex:1;-->
|
||
|
||
```LaTeX
|
||
\begin{gather}
|
||
a=b \\
|
||
e=b+c
|
||
\end{gather}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{alignat}{2}
|
||
10&x+&3&y=2\\
|
||
3&x+&13&y=4
|
||
\end{alignat}
|
||
```
|
||
<!--rehype:style=flex:1;-->
|
||
|
||
```LaTeX
|
||
\begin{alignat}{2}
|
||
10&x+&3&y=2\\
|
||
3&x+&13&y=4
|
||
\end{alignat}
|
||
```
|
||
|
||
### Environments 12
|
||
<!--rehype:body-style=display: flex;flex-direction: row;justify-content: flex-start;-->
|
||
|
||
```KaTeX
|
||
\begin{CD}
|
||
A @>a>> B \\
|
||
@VbVV @AAcA \\
|
||
C @= D
|
||
\end{CD}
|
||
```
|
||
<!--rehype:style=flex:1;-->
|
||
|
||
```LaTeX
|
||
\begin{CD}
|
||
A @>a>> B \\
|
||
@VbVV @AAcA \\
|
||
C @= D
|
||
\end{CD}
|
||
```
|
||
|
||
另见
|
||
----
|
||
|
||
- [LaTeX 官网](https://www.latex-project.org/) _(latex-project.org)_
|
||
- [KaTeX 官网](https://katex.org/) _(katex.org)_
|