---
id: supported
title: Supported Functions
---
This is a list of TeX functions supported by KaTeX. It is sorted into logical groups.
There is a similar [Support Table](support_table.md), sorted alphabetically, that lists both supported and un-supported functions.
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|:---------------------|:---------------------|:---------------------|:--------
|$\begin{matrix} a & b \\ c & d \end{matrix}$ | `\begin{matrix}` `a & b \\` `c & d` `\end{matrix}` |$\begin{array}{cc}a & b\\c & d\end{array}$ | `\begin{array}{cc}` `a & b \\` `c & d` `\end{array}`
|$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ |`\begin{pmatrix}` `a & b \\` `c & d` `\end{pmatrix}` |$\begin{bmatrix} a & b \\ c & d \end{bmatrix}$ | `\begin{bmatrix}` `a & b \\` `c & d` `\end{bmatrix}`
|$\begin{vmatrix} a & b \\ c & d \end{vmatrix}$ |`\begin{vmatrix}` `a & b \\` `c & d` `\end{vmatrix}` |$\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}$ |`\begin{Vmatrix}` `a & b \\` `c & d` `\end{Vmatrix}`
|$\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}$ |`\begin{Bmatrix}` `a & b \\` `c & d` `\end{Bmatrix}`|$\def\arraystretch{1.5}\begin{array}{c:c:c} a & b & c \\ \hline d & e & f \\ \hdashline g & h & i \end{array}$|`\def\arraystretch{1.5}` `\begin{array}{c:c:c}` `a & b & c \\ \hline` `d & e & f \\` `\hdashline` `g & h & i` `\end{array}`
|$\begin{aligned} a&=b+c \\ d+e&=f \end{aligned}$ |`\begin{aligned}` `a&=b+c \\` `d+e&=f` `\end{aligned}`|$\begin{alignedat}{2}10&x+&3&y=2\\3&x+&13&y=4\end{alignedat}$ |`\begin{alignedat}{2}` `10&x+ &3&y = 2 \\` ` 3&x+&13&y = 4` `\end{alignedat}`
|$\begin{gathered} a=b \\ e=b+c \end{gathered}$ |`\begin{gathered}` `a=b \\ ` `e=b+c` `\end{gathered}`|$x = \begin{cases} a &\text{if } b \\ c &\text{if } d \end{cases}$ |`x = \begin{cases}` `a &\text{if } b \\` `c &\text{if } d` `\end{cases}`
|$\begin{smallmatrix} a & b \\ c & d \end{smallmatrix}$ | `\begin{smallmatrix}` `a & b \\` `c & d` `\end{smallmatrix}` | | |
KaTeX also supports `darray` and `dcases`.
Acceptable line separators include: `\\`, `\cr`, `\\[distance]`, and `\cr[distance]`. *Distance* can be written with any of the [KaTeX units](#units).
The `{array}` environment supports `|` and `:` vertical separators.
The `{array}` environment does not yet support `\cline` or `\multicolumn`.
## HTML
The following "raw HTML" features are potentially dangerous for untrusted
inputs, so they are disabled by default, and attempting to use them produces
the command names in red (which you can configure via the `errorColor`
[option](options.md)). To fully trust your LaTeX input, you need to pass
an option of `trust: true`; you can also enable just some of the commands
or for just some URLs via the `trust` [option](options.md).
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|:----------------|:-------------------|
| $\href{https://katex.org/}{\KaTeX}$ | `\href{https://katex.org/}{\KaTeX}` |
| $\url{https://katex.org/}$ | `\url{https://katex.org/}` |
| $\includegraphics[height=0.8em, totalheight=0.9em, width=0.9em, alt=KA logo]{https://katex.org/img/khan-academy.png}$ | `\includegraphics[height=0.8em, totalheight=0.9em, width=0.9em, alt=KA logo]{https://katex.org/img/khan-academy.png}` |
`\includegraphics` supports `height`, `width`, `totalheight`, and `alt` in its first argument. `height` is required.
## Letters and Unicode
**Greek Letters**
Direct Input: $Α Β Γ Δ Ε Ζ Η Θ Ι \allowbreak Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω$
$\allowbreak α β γ δ ϵ ζ η θ ι κ λ μ ν ξ o π \allowbreak ρ σ τ υ ϕ χ ψ ω ε ϑ ϖ ϱ ς φ ϝ$
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|---------------|-------------|-------------|---------------|
| $\Alpha$ `\Alpha` | $\Beta$ `\Beta` | $\Gamma$ `\Gamma`| $\Delta$ `\Delta`
| $\Epsilon$ `\Epsilon` | $\Zeta$ `\Zeta` | $\Eta$ `\Eta` | $\Theta$ `\Theta`
| $\Iota$ `\Iota` | $\Kappa$ `\Kappa` | $\Lambda$ `\Lambda` | $\Mu$ `\Mu`
| $\Nu$ `\Nu` | $\Xi$ `\Xi` | $\Omicron$ `\Omicron` | $\Pi$ `\Pi`
| $\Rho$ `\Rho` | $\Sigma$ `\Sigma` | $\Tau$ `\Tau` | $\Upsilon$ `\Upsilon`
| $\Phi$ `\Phi` | $\Chi$ `\Chi` | $\Psi$ `\Psi` | $\Omega$ `\Omega`
| $\varGamma$ `\varGamma`| $\varDelta$ `\varDelta` | $\varTheta$ `\varTheta` | $\varLambda$ `\varLambda` |
| $\varXi$ `\varXi`| $\varPi$ `\varPi` | $\varSigma$ `\varSigma` | $\varUpsilon$ `\varUpsilon` |
| $\varPhi$ `\varPhi` | $\varPsi$ `\varPsi`| $\varOmega$ `\varOmega` ||
| $\alpha$ `\alpha`| $\beta$ `\beta` | $\gamma$ `\gamma` | $\delta$ `\delta`|
| $\epsilon$ `\epsilon` | $\zeta$ `\zeta` | $\eta$ `\eta`| $\theta$ `\theta`|
| $\iota$ `\iota` | $\kappa$ `\kappa` | $\lambda$ `\lambda`| $\mu$ `\mu`|
| $\nu$ `\nu`| $\xi$ `\xi` | $\omicron$ `\omicron` | $\pi$ `\pi`|
| $\rho$ `\rho` | $\sigma$ `\sigma` | $\tau$ `\tau`| $\upsilon$ `\upsilon` |
| $\phi$ `\phi` | $\chi$ `\chi`| $\psi$ `\psi`| $\omega$ `\omega`|
| $\varepsilon$ `\varepsilon` | $\varkappa$ `\varkappa` | $\vartheta$ `\vartheta` | $\thetasym$ `\thetasym`
| $\varpi$ `\varpi`| $\varrho$ `\varrho` | $\varsigma$ `\varsigma` | $\varphi$ `\varphi`
| $\digamma $ `\digamma`
**Other Letters**
||||||
|:----------|:----------|:----------|:----------|:----------|
|$\imath$ `\imath`|$\nabla$ `\nabla`|$\Im$ `\Im`|$\Reals$ `\Reals`|$\text{\OE}$ `\text{\OE}`
|$\jmath$ `\jmath`|$\partial$ `\partial`|$\image$ `\image`|$\wp$ `\wp`|$\text{\o}$ `\text{\o}`
|$\aleph$ `\aleph`|$\Game$ `\Game`|$\Bbbk$ `\Bbbk`|$\weierp$ `\weierp`|$\text{\O}$ `\text{\O}`
|$\alef$ `\alef`|$\Finv$ `\Finv`|$\N$ `\N`|$\Z$ `\Z`|$\text{\ss}$ `\text{\ss}`
|$\alefsym$ `\alefsym`|$\cnums$ `\cnums`|$\natnums$ `\natnums`|$\text{\aa}$ `\text{\aa}`|$\text{\i}$ `\text{\i}`
|$\beth$ `\beth`|$\Complex$ `\Complex`|$\R$ `\R`|$\text{\AA}$ `\text{\AA}`|$\text{\j}$ `\text{\j}`
|$\gimel$ `\gimel`|$\ell$ `\ell`|$\Re$ `\Re`|$\text{\ae}$ `\text{\ae}`
|$\daleth$ `\daleth`|$\hbar$ `\hbar`|$\real$ `\real`|$\text{\AE}$ `\text{\AE}`
|$\eth$ `\eth`|$\hslash$ `\hslash`|$\reals$ `\reals`|$\text{\oe}$ `\text{\oe}`
Direct Input: $∂ ∇ ℑ Ⅎ ℵ ℶ ℷ ℸ ⅁ ℏ ð$
ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖÙÚÛÜÝÞßàáâãäåçèéêëìíîïðñòóôöùúûüýþÿ
**Unicode**
The letters listed above will render in any KaTeX rendering mode.
If the KaTeX rendering mode is set to `strict: false` or `strict:"warn"` (default), then KaTeX will accept all Unicode letters. The letters not listed above will be rendered from system fonts, not KaTeX-supplied fonts, so their typography may clash. They may also cause small vertical alignment issues. KaTeX has detailed metrics for glyphs in Latin, Greek, and Cyrillic, but other glyphs are treated as if they are each as tall as the letter M.
For Persian composite characters, a user-supplied [plug-in](https://github.com/HosseinAgha/persian-katex-plugin) is under development.
## Layout
### Annotation
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|:------------------------------|:-----
|$\cancel{5}$ `\cancel{5}`|$\overbrace{a+b+c}^{\text{note}}$ `\overbrace{a+b+c}^{\text{note}}`
|$\bcancel{5}$ `\bcancel{5}` |$\underbrace{a+b+c}_{\text{note}}$ `\underbrace{a+b+c}_{\text{note}}`
|$\xcancel{ABC}$ `\xcancel{ABC}`|$\not =$ `\not =`
|$\sout{abc}$ `\sout{abc}`|$\boxed{\pi=\frac c d}$ `\boxed{\pi=\frac c d}`
`\tag{hi} x+y^{2x}`
$$\tag{hi} x+y^{2x}$$
`\tag*{hi} x+y^{2x}`
$$\tag*{hi} x+y^{2x}$$
### Line Breaks
KaTeX 0.10.0+ will insert automatic line breaks in inline math after relations or binary operators such as “=” or “+”. These can be suppressed by `\nobreak` or by placing math inside a pair of braces, as in `{F=ma}`. `\allowbreak` will allow automatic line breaks at locations other than relations or operators.
Hard line breaks are `\\` and `\newline`.
In display math, KaTeX does not insert automatic line breaks. It ignores display math hard line breaks when rendering option `strict: true`.
### Vertical Layout
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|:--------------|:----------------------------------------|:-----
|$x_n$ `x_n` |$\stackrel{!}{=}$ `\stackrel{!}{=}` |$a \atop b$ `a \atop b`
|$e^x$ `e^x` |$\overset{!}{=}$ `\overset{!}{=}` |$a\raisebox{0.25em}{b}c$ `a\raisebox{0.25em}{b}c`
|$_u^o $ `_u^o `|$\underset{!}{=}$ `\underset{!}{=}` | $$\sum_{\substack{0
**Spacing**
| Function | Produces | Function | Produces|
|:----------------|:-------------------|:---------------------|:--------------------------------------|
| `\,` | ³∕₁₈ em space | `\kern{distance}` | space, width = *distance*
| `\thinspace` | ³∕₁₈ em space | `\mkern{distance}` | space, width = *distance*
| `\>` | ⁴∕₁₈ em space | `\mskip{distance}` | space, width = *distance*
| `\:` | ⁴∕₁₈ em space | `\hskip{distance}` | space, width = *distance*
| `\medspace` | ⁴∕₁₈ em space | `\hspace{distance}` | space, width = *distance*
| `\;` | ⁵∕₁₈ em space | `\hspace*{distance}` | space, width = *distance*
| `\thickspace` | ⁵∕₁₈ em space | `\phantom{content}` | space the width and height of content
| `\enspace` | ½ em space | `\hphantom{content}` | space the width of content
| `\quad` | 1 em space | `\vphantom{content}` | a strut the height of content
| `\qquad` | 2 em space | `\!` | – ³∕₁₈ em space
| `~` | non-breaking space | `\negthinspace` | – ³∕₁₈ em space
| `\` | space | `\negmedspace` | – ⁴∕₁₈ em space
| `\nobreakspace` | non-breaking space | `\negthickspace` | – ⁵∕₁₈ em space
| `\space` | space |
**Notes:**
`distance` will accept any of the [KaTeX units](#units).
`\kern`, `\mkern`, `\mskip`, and `\hspace` accept unbraced distances, as in: `\kern1em`.
`\mkern` and `\mskip` will not work in text mode and both will write a console warning for any unit except `mu`.
| KaTeX Unit | Value | KaTeX Unit | Value |
|:---|:---------------------|:---|:----------------|
| em | CSS em | bp | 1/72 inch × F × G|
| ex | CSS ex | pc | 12 KaTeX pt|
| mu | 1/18 CSS em | dd | 1238/1157 KaTeX pt |
| pt | 1/72.27 inch × F × G | cc | 14856/1157 KaTeX pt |
| mm | 1 mm × F × G | nd | 685/642 KaTeX pt |
| cm | 1 cm × F × G | nc | 1370/107 KaTeX pt|
| in | 1 inch × F × G | sp | 1/65536 KaTeX pt |
where:
F = (font size of surrounding HTML text)/(10 pt)
G = 1.21 by default, because KaTeX font-size is normally 1.21 × the surrounding font size. This value [can be overridden](font.md#font-size-and-lengths) by the CSS of an HTML page.
The effect of style and size:
| Unit | textstyle | scriptscript | huge |
|:------:|:-----------------:|:------------:|:------:|
|em or ex|$\rule{1em}{1em}$ |$\scriptscriptstyle\rule{1em}{1em}$ |$\huge\rule{1em}{1em}$
| mu |$\rule{18mu}{18mu}$|$\scriptscriptstyle\rule{18mu}{18mu}$|$\huge\rule{18mu}{18mu}$
| others |$\rule{10pt}{10pt}$|$\scriptscriptstyle\rule{10pt}{10pt}$|$\huge\rule{10pt}{10pt}$