TeX

About 5 min

Let the Markdown file in your VuePress site support the TeX\TeX syntax.

Config

You can only enable ONE of them, and katex has a higher priority.

Grammar

Inline Syntax

Use $codes$.

Euler’s identity $e^{i\pi}+1=0$ is a beautiful formula in $\mathbb{R}^2$.

Euler’s identity eiπ+1=0e^{i\pi}+1=0 is a beautiful formula in R2\mathbb{R}^2.

Block Syntax

Use $$codes$$.

$$
\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right)
= \left(\frac {y^{\omega}} {\omega}\right) \left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\}
$$

rωr(yωω)=(yωω){(logy)r+i=1r(1)Ir(ri+1)(logy)riωi} \frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right) = \left(\frac {y^{\omega}} {\omega}\right) \left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\}

Playground

Input

Output

rωr(yωω)=(yωω){(logy)r+i=1r(1)Ir(ri+1)(logy)riωi}\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right) = \left(\frac {y^{\omega}} {\omega}\right) \left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\}

Support List

Katex:

Mathjax:

Advanced

KaTeX

When using KaTeX, you can pass an object to katex as KatexOptions. It will be passed to KaTeX. Please see KaTeX Docsopen in new window for available options.

Also, a special option mhchem is supported for you to enable mhchem extension by setting it to true.

Mathjax

When using mathjax, you can pass an object to mathjax.

You can set output option to either svg (default) or chtml to change between SVG and HTML output.

Also, you can set tex option which is passed to TeX input parser, and you can set chtml or svg option based on your output syntax which is passed to Common HTML output parser and SVG output parser.

Tex Tutorial

Operator

  • Some operators can be entered directly in math mode; others need to be generated using control sequences:

    • +: ++
    • -: -
    • \times: ×\times
    • \ div: ÷\div
    • =: ==
    • \pm: ±\pm
    • \cdot: \cdot
    • \cup: \cup
    • \geq: \geq
    • \leq: \leq
    • \neq: \neq
    • \approx: \approx
    • \equiv: \equiv
    • \quad: \quad (blank separator)
  • Radical: \sqrt{xxx} xxx\sqrt{xxx}

  • Fraction \frac{aaa}{bbb} aaabbb\frac{aaa}{bbb} (the first parameter is the numerator and the second is the denominator).

  • Sum: \sum \sum

  • Tandem: \prod \prod

  • Limit: \lim lim\lim

  • Points: \int \int

  • Multiple points:

    • \iint: \iint
    • \iiint: \iiint
    • \liiiint:  ⁣ ⁣ ⁣\liiiint (Use \iiiint for block as normal)
    • \idotsint  ⁣ ⁣\idotsint

Tips

Large operators such as continuous addition, multiplication, limits, and integrals can use \limits and \nolimits to force explicitly specify compress these superscripts or not.

\iiiint( ⁣ ⁣ ⁣\liiiint) is support by hack, so for inline display you should use \liiiint.

\varoiint, \sqint, \sqiint, \ointctrclockwise, \ointclockwise, \varointclockwise, \varointctrclockwise, \fint, \landupint, \landdownint are not supported currently.

Case

x\sqrt{x}, 12\frac{1}{2}.

i=1ni  i=1n\sum_{i=1}^n i\; \prod_{i=1}^n

i=1ni  i=1n\sum\limits _{i=1}^n i\; \prod\limits_{i=1}^n

12x2  12x2   ⁣ ⁣ ⁣12x2   ⁣ ⁣12x2\iint_1^2 x^2\; \iiint_1^2 x^2\; \liiiint_1^2 x^2\; \idotsint_1^2 x^2

12x2  12x2   ⁣ ⁣ ⁣12x2   ⁣ ⁣12x2\iint\limits_1^2 x^2\; \iiint\limits_1^2 x^2\; \liiiint\limits_1^2 x^2\; \idotsint\limits_1^2 x^2

12x2  12x2   ⁣ ⁣ ⁣ ⁣12x2   ⁣ ⁣12x2 \iint_1^2 x^2\; \iiint_1^2 x^2\; \iiiint_1^2 x^2\; \idotsint_1^2 x^2

$\sqrt{x}$, $\frac{1}{2}$.

$\sum_{i=1}^n i\; \prod_{i=1}^n$

$\sum\limits _{i=1}^n i\; \prod\limits _{i=1}^n$

$\iint_1^2 x^2\; \iiint_1^2 x^2\; \liiiint_1^2 x^2\; \idotsint_1^2 x^2$

$\iint\limits_1^2 x^2\; \iiint\limits_1^2 x^2\; \liiiint\limits_1^2 x^2\; \idotsint\limits_1^2 x^2$

$$\iint_1^2 x^2\; \iiint_1^2 x^2\; \iiiint_1^2 x^2\; \idotsint_1^2 x^2$$

Symbol

  • English letters can be entered directly

    abcxyzABCa \quad b \quad c \quad x \quad y \quad z \quad A \quad B \quad C

    $a \quad b \quad c \quad x \quad y \quad z \quad A \quad B \quad C$
    
  • Greek characters use \characterName to enter symbols, and output capital letters when the first letter is capitalized.

    αβγΩΔΓ\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma

    $\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma$
    
  • Other mathematical expressions can be used correspondingly

    logabx\log_{a}{b} \quad \partial x

    $\log_{a}{b} \quad \partial x$
    

Superscript and Subscript

  • Superscript, use ^ to achieve
  • Subscript, use _ to achieve
  • By default, superscript and subscript only apply to the next character. To work with multiple consecutive characters, please enclose these characters in curly brackets {}.

Demo

Einstein ’s E=mc2E=mc^2.

210>10002^{10} > 1000

Einstein ’s $E=mc^2$.

$2^{10} > 1000$

Delimiters (parentheses, etc.)

Various parentheses are represented by commands such as (), [], \{\}, \langle\rangle.

Tips

Note that curly braces are usually used to enter command and environment parameters, so they must be preceded by \ in mathematical formulas.

Because the application of | and \| in LaTeX is too casual, we recommend using \lvert\rvert and \ lVert\rVert instead.

To adjust the size of these delimiters, we recommend using \big, \Big, \bigg, \Bigg and a series of commands to adjust the size before the above brackets.

(((((x)))))\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)[[[[[x]]]]]\Biggl[\biggl[\Bigl[\bigl[[x]\bigr]\Bigr]\biggr]\Biggr]{{{{{x}}}}}\Biggl \{\biggl \{\Bigl \{\bigl \{\{x\}\bigr \}\Bigr \}\biggr \}\Biggr\}x\Biggl\langle\biggl\langle\Bigl\langle\bigl\langle\langle x \rangle\bigr\rangle\Bigr\rangle\biggr\rangle\Biggr\ranglex\Biggl\lvert\biggl\lvert\Bigl\lvert\bigl\lvert\lvert x \rvert\bigr\rvert\Bigr\rvert\biggr\rvert\Biggr\rvertx\Biggl\lVert\biggl\lVert\Bigl\lVert\bigl\lVert\lVert x \rVert\bigr\rVert\Bigr\rVert\biggr\rVert\Biggr\rVert

$\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$
$\Biggl[\biggl[\Bigl[\bigl[[x]\bigr]\Bigr]\biggr]\Biggr]$
$\Biggl \{\biggl \{\Bigl \{\bigl \{\{x\}\bigr \}\Bigr \}\biggr \}\Biggr\}$
$\Biggl\langle\biggl\langle\Bigl\langle\bigl\langle\langle x
\rangle\bigr\rangle\Bigr\rangle\biggr\rangle\Biggr\rangle$
$\Biggl\lvert\biggl\lvert\Bigl\lvert\bigl\lvert\lvert x
\rvert\bigr\rvert\Bigr\rvert\biggr\rvert\Biggr\rvert$
$\Biggl\lVert\biggl\lVert\Bigl\lVert\bigl\lVert\lVert x
\rVert\bigr\rVert\Bigr\rVert\biggr\rVert\Biggr\rVert$

Ellipsis

The ellipsis is represented by commands such as \dots,\cdots, \vdots,\ddots.

Tips

\dots and\cdots have different vertical positions. The former is generally used for subscripted sequences.

x1,x2,,xn1,2,,nx_1,x_2,\dots ,x_n \quad 1,2,\cdots ,n \quad \vdots\quad \ddots

$x_1,x_2,\dots ,x_n \quad 1,2,\cdots ,n \quad \vdots\quad \ddots$

Matrix

pmatrix, bmatrix, Bmatrix, vmatrix, Vmatrix and other environments can add various separators on both sides of the matrix.

(abcd)[abcd]{abcd}abcdabcd \begin{pmatrix} a&b\\c&d \end{pmatrix} \quad \begin{bmatrix} a&b\\c&d \end{bmatrix} \quad \begin{Bmatrix} a&b\\c&d \end{Bmatrix} \quad \begin{vmatrix} a&b\\c&d \end{vmatrix} \quad \begin{Vmatrix} a&b\\c&d \end{Vmatrix}

$$
\begin{pmatrix} a&b\\c&d \end{pmatrix} \quad
\begin{bmatrix} a&b\\c&d \end{bmatrix} \quad
\begin{Bmatrix} a&b\\c&d \end{Bmatrix} \quad
\begin{vmatrix} a&b\\c&d \end{vmatrix} \quad
\begin{Vmatrix} a&b\\c&d \end{Vmatrix}
$$

Using the smallmatrix environment, you can generate small matrices of inline formulas.

A small matrix: (abcd)( \begin{smallmatrix} a&b\\c&d \end{smallmatrix} ).

A small matrix: $( \begin{smallmatrix} a&b\\c&d \end{smallmatrix} )$.

Multi-line Formula

  • newline

    Use \\ or \newline to wrap

    x=a+b+c+d+e+f+g x = a+b+c+{} \\ d+e+f+g

    x=a+b+c+d+e+f+g x = a+b+c+ \newline d+e+f+g

    $$
    x = a+b+c+ \\
    d+e+f+g
    $$
    
    $$
    x = a+b+c+ \newline
    d+e+f+g
    $$
    
  • Alignment

    You can use the aligned environment to achieve alignment, and&to identify fixed anchor points

    x=a+b+c+d+e+f+g \begin{aligned} x ={}& a+b+c+{} \\ &d+e+f+g \end{aligned}

    10x+3y=23x+13y=4 \begin{alignedat}{2} 10&x+ &3&y = 2 \\ 3&x+&13&y = 4 \end{alignedat}

    $$
    \begin{aligned}
    x ={}& a+b+c+{} \\
    &d+e+f+g
    \end{aligned}
    $$
    
    $$
    \begin{alignedat}{2}
       10&x+ &3&y = 2 \\
       3&x+&13&y = 4
    \end{alignedat}
    $$
    

Formula Group

Formula groups that do not require alignment can use the gather environment.

a=b+c+dx=y+z \begin{gathered} a = b+c+d \\ x = y+z \end{gathered}

$$
\begin{gathered}
a = b+c+d \\
x = y+z
\end{gathered}
$$

Numbering

x+y2x(1) \tag{1} x+y^{2x}

x+y2x1 \tag*{1} x+y^{2x}

$\tag{1} x+y^{2x}$

$\tag*{1} x+y^{2x}$

Segmented Functions

Use case environment

y={x,x0x,x>0 y= \begin{cases} -x,\quad x\leq 0 \\ x,\quad x>0 \end{cases}

$$
y= \begin{cases}
-x,\quad x\leq 0 \\
x,\quad x>0
\end{cases}
$$

Text

To insert text in TeX, you should use \text{} to wrap them.

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