285c9fe0b6
* Re-enable \includegraphics now that we have trust setting
This reverts commit 5806b240b3.
* Include Khan Academy test logo in repo and use in test (fix #1892)
* Update screenshots
* Update documentation
* Add tests, cleanup existing tests
* Update snapshots
* Enable trust testing (trust=true by default)
38 KiB
id, title
| id | title |
|---|---|
| supported | Supported Functions |
This is a list of TeX functions supported by KaTeX. It is sorted into logical groups.
There is a similar Support Table, sorted alphabetically, that lists both supported and un-supported functions.
<style> p {overflow-wrap: break-word;} table tr, table td { vertical-align: middle; overflow-wrap: break-word; } </style>Accents
a' a' |
\tilde{a} \tilde{a} |
\mathring{g} \mathring{g} |
a'' a'' |
\widetilde{ac} \widetilde{ac} |
\overgroup{AB} \overgroup{AB} |
a^{\prime} a^{\prime} |
\utilde{AB} \utilde{AB} |
\undergroup{AB} \undergroup{AB} |
\acute{a} \acute{a} |
\vec{F} \vec{F} |
\Overrightarrow{AB} \Overrightarrow{AB} |
\bar{y} \bar{y} |
\overleftarrow{AB} \overleftarrow{AB} |
\overrightarrow{AB} \overrightarrow{AB} |
\breve{a} \breve{a} |
\underleftarrow{AB} \underleftarrow{AB} |
\underrightarrow{AB} \underrightarrow{AB} |
\check{a} \check{a} |
\overleftharpoon{ac} \overleftharpoon{ac} |
\overrightharpoon{ac} \overrightharpoon{ac} |
\dot{a} \dot{a} |
\overleftrightarrow{AB} \overleftrightarrow{AB} |
\overbrace{AB} \overbrace{AB} |
\ddot{a} \ddot{a} |
\underleftrightarrow{AB} \underleftrightarrow{AB} |
\underbrace{AB} \underbrace{AB} |
\grave{a} \grave{a} |
\overline{AB} \overline{AB} |
\overlinesegment{AB} \overlinesegment{AB} |
\hat{\theta} \hat{\theta} |
\underline{AB} \underline{AB} |
\underlinesegment{AB} \underlinesegment{AB} |
\widehat{ac} \widehat{ac} |
\widecheck{ac} \widecheck{ac} |
Accent functions inside \text{…}
\text{\'{a}} \'{a} |
\text{\~{a}} \~{a} |
\text{\.{a}} \.{a} |
\text{\H{a}} \H{a} |
\text{\`{a}} \`{a} |
\text{\={a}} \={a} |
\text{\"{a}} \"{a} |
\text{\v{a}} \v{a} |
\text{\^{a}} \^{a} |
\text{\u{a}} \u{a} |
\text{\r{a}} \r{a} |
See also letters
Delimiters
(~) ( ) |
\lparen~\rparen \lparen$~~~~$ \rparen |
⌈~⌉ ⌈ ⌉ |
\lceil~\rceil \lceil$~~~~~$ \rceil |
\uparrow \uparrow |
[~] [ ] |
\lbrack~\rbrack \lbrack$~~~~$ \rbrack |
⌊~⌋ ⌊ ⌋ |
\lfloor~\rfloor \lfloor$~~~~~$ \rfloor |
\downarrow \downarrow |
\{ \} \{ \} |
\lbrace \rbrace \lbrace$~~~~$ \rbrace |
⎰⎱ ⎰⎱ |
\lmoustache \rmoustache \lmoustache$~~~~$ \rmoustache |
\updownarrow \updownarrow |
⟨~⟩ ⟨ ⟩ |
\langle~\rangle \langle$~~~~$ \rangle |
⟮~⟯ ⟮ ⟯ |
\lgroup~\rgroup \lgroup$~~~~~$ \rgroup |
\Uparrow \Uparrow |
\vert | |
\vert \vert |
┌ ┐ ┌ ┐ |
\ulcorner \urcorner \ulcorner$~~~~$ \urcorner |
\Downarrow \Downarrow |
\Vert \| |
\Vert \Vert |
└ ┘ └ ┘ |
\llcorner \lrcorner \llcorner$~~~~$ \lrcorner |
\Updownarrow \Updownarrow |
\lvert~\rvert \lvert$~~~~$ \rvert |
\lVert~\rVert \lVert$~~~~~$ \rVert |
\left. |
\right. |
\backslash \backslash |
\lang~\rang \lang$~~~~$ \rang |
\lt~\gt \lt \gt |
⟦~⟧ ⟦ ⟧ |
\llbracket~\rrbracket \llbracket$~~~~$ \rrbracket |
\lBrace~\rBrace \lBrace \rBrace |
Delimiter Sizing
\left(\LARGE{AB}\right) \left(\LARGE{AB}\right)
( \big( \Big( \bigg( \Bigg( ( \big( \Big( \bigg( \Bigg(
\left |
\big |
\bigl |
\bigm |
\bigr |
\middle |
\Big |
\Bigl |
\Bigm |
\Bigr |
\right |
\bigg |
\biggl |
\biggm |
\biggr |
\Bigg |
\Biggl |
\Biggm |
\Biggr |
Environments
\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 \\ \hlined & e & f \\\hdashlineg & 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.
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). 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.
\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
\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 Mathematical Alphanumeric Symbols
| Item | Range | Item | Range |
|---|---|---|---|
| Bold | \text{𝐀-𝐙 𝐚-𝐳 𝟎-𝟗} |
Double-struck | \text{𝔸-}ℤ\ 𝕜 |
| Italic | \text{𝐴-𝑍 𝑎-𝑧} |
Sans serif | \text{𝖠-𝖹 𝖺-𝗓 𝟢-𝟫} |
| Bold Italic | \text{𝑨-𝒁 𝒂-𝒛} |
Sans serif bold | \text{𝗔-𝗭 𝗮-𝘇 𝟬-𝟵} |
| Script | \text{𝒜-𝒵} |
Sans serif italic | \text{𝘈-𝘡 𝘢-𝘻} |
| Fractur | \text{𝔄-}ℨ\text{ 𝔞-𝔷} |
Monospace | \text{𝙰-𝚉 𝚊-𝚣 𝟶-𝟿} |
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 is under development.
Layout
Annotation
\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
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<i<m\\0<j<n}} \sum_{\substack{0<i<m\\0<j<n}} |
The second argument of \raisebox can contain math if it is nested within $…$ delimiters, as in \raisebox{0.25em}{$\frac a b$}
Overlap and Spacing
{=}\mathllap{/\,} {=}\mathllap{/\,} |
\left(x^{\smash{2}}\right) \left(x^{\smash{2}}\right) |
\mathrlap{\,/}{=} \mathrlap{\,/}{=} |
\sqrt{\smash[b]{y}} \sqrt{\smash[b]{y}} |
\displaystyle\sum_{\mathclap{1\le i\le j\le n}} x_{ij} \sum_{\mathclap{1\le i\le j\le n}} x_{ij}
KaTeX also supports \llap, \rlap, and \clap, but they will take only text, not math, as arguments.
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> |
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.
\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.
Logic and Set Theory
\forall \forall |
\complement \complement |
\therefore \therefore |
\emptyset \emptyset |
\exists \exists |
\subset \subset |
\because \because |
\empty \empty |
\exist \exist |
\supset \supset |
\mapsto \mapsto |
\varnothing \varnothing |
\nexists \nexists |
\mid \mid |
\to \to |
\implies \implies |
\in \in |
\land \land |
\gets \gets |
\impliedby \impliedby |
\isin \isin |
\lor \lor |
\leftrightarrow \leftrightarrow |
\iff \iff |
\notin \notin |
\ni \ni |
\notni \notni |
\neg \neg or \lnot |
Direct Input: $∀ ∴ ∁ ∵ ∃ ∣ ∈ ∉ ∋ ⊂ ⊃ ∧ ∨ ↦ → ← ↔ ¬$ ℂ ℍ ℕ ℙ ℚ ℝ
Macros
\def\foo{x^2} \foo + \foo |
\def\foo{x^2} \foo + \foo |
\gdef\bar#1{#1^2} \bar{y} + \bar{y} |
\gdef\bar#1{#1^2} \bar{y} + \bar{y} |
\global\def\macroname#1#2…{definition} |
|
\newcommand\macroname[numargs]{definition} |
|
\renewcommand\macroname[numargs]{definition} |
|
\providecommand\macroname[numargs]{definition} |
Macros can also be defined in the KaTeX rendering options.
Macros accept up to nine arguments: #1, #2, etc.
\gdef and \global\def macros will persist between math expressions.
Available functions include:
\char \mathchoice \TextOrMath \@ifstar \@ifnextchar \@firstoftwo \@secondoftwo \relax
@ is a valid character for commands, as if \makeatletter were in effect.
Operators
Big Operators
\sum \sum |
\prod \prod |
\bigotimes \bigotimes |
\bigvee \bigvee |
\int \int |
\coprod \coprod |
\bigoplus \bigoplus |
\bigwedge \bigwedge |
\iint \iint |
\intop \intop |
\bigodot \bigodot |
\bigcap \bigcap |
\iiint \iiint |
\smallint \smallint |
\biguplus \biguplus |
\bigcup \bigcup |
\oint \oint |
\oiint \oiint |
\oiiint \oiiint |
\bigsqcup \bigsqcup |
Direct Input: ∫ ∬ ∭ ∮ ∏ ∐ ∑ ⋀ ⋁ ⋂ ⋃ ⨀ ⨁ ⨂ ⨄ ⨆
Binary Operators
+ + |
\cdot \cdot |
\gtrdot \gtrdot |
x \pmod a x \pmod a |
- - |
\cdotp \cdotp |
\intercal \intercal |
x \pod a x \pod a |
/ / |
\centerdot \centerdot |
\land \land |
\rhd \rhd |
* * |
\circ \circ |
\leftthreetimes \leftthreetimes |
\rightthreetimes \rightthreetimes |
\amalg \amalg |
\circledast \circledast |
\ldotp \ldotp |
\rtimes \rtimes |
\And \And |
\circledcirc \circledcirc |
\lor \lor |
\setminus \setminus |
\ast \ast |
\circleddash \circleddash |
\lessdot \lessdot |
\smallsetminus \smallsetminus |
\barwedge \barwedge |
\Cup \Cup |
\lhd \lhd |
\sqcap \sqcap |
\bigcirc \bigcirc |
\cup \cup |
\ltimes \ltimes |
\sqcup \sqcup |
\bmod \bmod |
\curlyvee \curlyvee |
x \mod a x\mod a |
\times \times |
\boxdot \boxdot |
\curlywedge \curlywedge |
\mp \mp |
\unlhd \unlhd |
\boxminus \boxminus |
\div \div |
\odot \odot |
\unrhd \unrhd |
\boxplus \boxplus |
\divideontimes \divideontimes |
\ominus \ominus |
\uplus \uplus |
\boxtimes \boxtimes |
\dotplus \dotplus |
\oplus \oplus |
\vee \vee |
\bullet \bullet |
\doublebarwedge \doublebarwedge |
\otimes \otimes |
\veebar \veebar |
\Cap \Cap |
\doublecap \doublecap |
\oslash \oslash |
\wedge \wedge |
\cap \cap |
\doublecup \doublecup |
\pm \pm or \plusmn |
\wr \wr |
Direct Input: + - / * ⋅ ± × ÷ ∓ ∔ ∧ ∨ ∩ ∪ ≀ ⊎ ⊓ ⊔ ⊕ ⊖ ⊗ ⊘ ⊙ ⊚ ⊛ ⊝
Fractions and Binomials
\frac{a}{b} \frac{a}{b} |
\tfrac{a}{b} \tfrac{a}{b} |
\genfrac ( ] {2pt}{1}a{a+1} \genfrac ( ] {2pt}{1}a{a+1} |
{a \over b} {a \over b} |
\dfrac{a}{b} \dfrac{a}{b} |
{a \above{2pt} b+1} {a \above{2pt} b+1} |
a/b a/b |
\cfrac{a}{1 + \cfrac{1}{b}} \cfrac{a}{1 + \cfrac{1}{b}} |
\binom{n}{k} \binom{n}{k} |
\dbinom{n}{k} \dbinom{n}{k} |
{n\brace k} {n\brace k} |
{n \choose k} {n \choose k} |
\tbinom{n}{k} \tbinom{n}{k} |
{n\brack k} {n\brack k} |
Math Operators
\arcsin \arcsin |
\cotg \cotg |
\ln \ln |
\det \det |
\arccos \arccos |
\coth \coth |
\log \log |
\gcd \gcd |
\arctan \arctan |
\csc \csc |
\sec \sec |
\inf \inf |
\arctg \arctg |
\ctg \ctg |
\sin \sin |
\lim \lim |
\arcctg \arcctg |
\cth \cth |
\sinh \sinh |
\liminf \liminf |
\arg \arg |
\deg \deg |
\sh \sh |
\limsup \limsup |
\ch \ch |
\dim \dim |
\tan \tan |
\max \max |
\cos \cos |
\exp \exp |
\tanh \tanh |
\min \min |
\cosec \cosec |
\hom \hom |
\tg \tg |
\Pr \Pr |
\cosh \cosh |
\ker \ker |
\th \th |
\sup \sup |
\cot \cot |
\lg \lg |
\argmax \argmax |
\argmin \argmin |
\plim \plim |
\operatorname{f} \operatorname{f} |
\operatorname*{f} \operatorname*{f} |
Functions on the right column of this table can take \limits.
\sqrt
\sqrt{x} \sqrt{x}
\sqrt[3]{x} \sqrt[3]{x}
Relations
\stackrel{!}{=} \stackrel{!}{=}
= = |
\eqcirc \eqcirc |
\lesseqgtr \lesseqgtr |
\sqsupset \sqsupset |
< < |
\eqcolon \eqcolon |
\lesseqqgtr \lesseqqgtr |
\sqsupseteq \sqsupseteq |
> > |
\Eqcolon \Eqcolon |
\lessgtr \lessgtr |
\Subset \Subset |
: : |
\eqqcolon \eqqcolon |
\lesssim \lesssim |
\subset \subset or \sub |
\approx \approx |
\Eqqcolon \Eqqcolon |
\ll \ll |
\subseteq \subseteq or \sube |
\approxeq \approxeq |
\eqsim \eqsim |
\lll \lll |
\subseteqq \subseteqq |
\asymp \asymp |
\eqslantgtr \eqslantgtr |
\llless \llless |
\succ \succ |
\backepsilon \backepsilon |
\eqslantless \eqslantless |
\lt \lt |
\succapprox \succapprox |
\backsim \backsim |
\equiv \equiv |
\mid \mid |
\succcurlyeq \succcurlyeq |
\backsimeq \backsimeq |
\fallingdotseq \fallingdotseq |
\models \models |
\succeq \succeq |
\between \between |
\frown \frown |
\multimap \multimap |
\succsim \succsim |
\bowtie \bowtie |
\ge \ge |
\owns \owns |
\Supset \Supset |
\bumpeq \bumpeq |
\geq \geq |
\parallel \parallel |
\supset \supset |
\Bumpeq \Bumpeq |
\geqq \geqq |
\perp \perp |
\supseteq \supseteq or \supe |
\circeq \circeq |
\geqslant \geqslant |
\pitchfork \pitchfork |
\supseteqq \supseteqq |
\colonapprox \colonapprox |
\gg \gg |
\prec \prec |
\thickapprox \thickapprox |
\Colonapprox \Colonapprox |
\ggg \ggg |
\precapprox \precapprox |
\thicksim \thicksim |
\coloneq \coloneq |
\gggtr \gggtr |
\preccurlyeq \preccurlyeq |
\trianglelefteq \trianglelefteq |
\Coloneq \Coloneq |
\gt \gt |
\preceq \preceq |
\triangleq \triangleq |
\coloneqq \coloneqq |
\gtrapprox \gtrapprox |
\precsim \precsim |
\trianglerighteq \trianglerighteq |
\Coloneqq \Coloneqq |
\gtreqless \gtreqless |
\propto \propto |
\varpropto \varpropto |
\colonsim \colonsim |
\gtreqqless \gtreqqless |
\risingdotseq \risingdotseq |
\vartriangle \vartriangle |
\Colonsim \Colonsim |
\gtrless \gtrless |
\shortmid \shortmid |
\vartriangleleft \vartriangleleft |
\cong \cong |
\gtrsim \gtrsim |
\shortparallel \shortparallel |
\vartriangleright \vartriangleright |
\curlyeqprec \curlyeqprec |
\in \in or \isin |
\sim \sim |
\vcentcolon \vcentcolon |
\curlyeqsucc \curlyeqsucc |
\Join \Join |
\simeq \simeq |
\vdash \vdash |
\dashv \dashv |
\le \le |
\smallfrown \smallfrown |
\vDash \vDash |
\dblcolon \dblcolon |
\leq \leq |
\smallsmile \smallsmile |
\Vdash \Vdash |
\doteq \doteq |
\leqq \leqq |
\smile \smile |
\Vvdash \Vvdash |
\Doteq \Doteq |
\leqslant \leqslant |
\sqsubset \sqsubset |
|
\doteqdot \doteqdot |
\lessapprox \lessapprox |
\sqsubseteq \sqsubseteq |
Direct Input: $= < > : ∈ ∋ ∝ ∼ ∽ ≂ ≃ ≅ ≈ ≊ ≍ ≎ ≏ ≐ ≑ ≒ ≓ ≖ ≗ ≜ ≡ ≤ ≥ ≦ ≧ ≫ ≬ ≳ ≷ ≺ ≻ ≼ ≽ ≾ ≿ ⊂ ⊃ ⊆ ⊇ ⊏ ⊐ ⊑ ⊒ ⊢ ⊣ ⊩ ⊪ ⊸ ⋈ ⋍ ⋐ ⋑ ⋔ ⋙ ⋛ ⋞ ⋟ ⌢ ⌣ ⩾ ⪆ ⪌ ⪕ ⪖ ⪯ ⪰ ⪷ ⪸ ⫅ ⫆ ≲ ⩽ ⪅ ≶ ⋚ ⪋ ⟂ ⊨$ ≔ ≕ ⩴
Negated Relations
\not = \not =
\gnapprox \gnapprox |
\ngeqslant \ngeqslant |
\nsubseteq \nsubseteq |
\precneqq \precneqq |
\gneq \gneq |
\ngtr \ngtr |
\nsubseteqq \nsubseteqq |
\precnsim \precnsim |
\gneqq \gneqq |
\nleq \nleq |
\nsucc \nsucc |
\subsetneq \subsetneq |
\gnsim \gnsim |
\nleqq \nleqq |
\nsucceq \nsucceq |
\subsetneqq \subsetneqq |
\gvertneqq \gvertneqq |
\nleqslant \nleqslant |
\nsupseteq \nsupseteq |
\succnapprox \succnapprox |
\lnapprox \lnapprox |
\nless \nless |
\nsupseteqq \nsupseteqq |
\succneqq \succneqq |
\lneq \lneq |
\nmid \nmid |
\ntriangleleft \ntriangleleft |
\succnsim \succnsim |
\lneqq \lneqq |
\notin \notin |
\ntrianglelefteq \ntrianglelefteq |
\supsetneq \supsetneq |
\lnsim \lnsim |
\notni \notni |
\ntriangleright \ntriangleright |
\supsetneqq \supsetneqq |
\lvertneqq \lvertneqq |
\nparallel \nparallel |
\ntrianglerighteq \ntrianglerighteq |
\varsubsetneq \varsubsetneq |
\ncong \ncong |
\nprec \nprec |
\nvdash \nvdash |
\varsubsetneqq \varsubsetneqq |
\ne \ne |
\npreceq \npreceq |
\nvDash \nvDash |
\varsupsetneq \varsupsetneq |
\neq \neq |
\nshortmid \nshortmid |
\nVDash \nVDash |
\varsupsetneqq \varsupsetneqq |
\ngeq \ngeq |
\nshortparallel \nshortparallel |
\nVdash \nVdash |
|
\ngeqq \ngeqq |
\nsim \nsim |
\precnapprox \precnapprox |
Direct Input: ∉ ∌ ∤ ∦ ≁ ≆ ≠ ≨ ≩ ≮ ≯ ≰ ≱ ⊀ ⊁ ⊈ ⊉ ⊊ ⊋ ⊬ ⊭ ⊮ ⊯ ⋠ ⋡ ⋦ ⋧ ⋨ ⋩ ⋬ ⋭ ⪇ ⪈ ⪉ ⪊ ⪵ ⪶ ⪹ ⪺ ⫋ ⫌
Arrows
\circlearrowleft \circlearrowleft |
\leftharpoonup \leftharpoonup |
\rArr \rArr |
\circlearrowright \circlearrowright |
\leftleftarrows \leftleftarrows |
\rarr \rarr |
\curvearrowleft \curvearrowleft |
\leftrightarrow \leftrightarrow |
\restriction \restriction |
\curvearrowright \curvearrowright |
\Leftrightarrow \Leftrightarrow |
\rightarrow \rightarrow |
\Darr \Darr |
\leftrightarrows \leftrightarrows |
\Rightarrow \Rightarrow |
\dArr \dArr |
\leftrightharpoons \leftrightharpoons |
\rightarrowtail \rightarrowtail |
\darr \darr |
\leftrightsquigarrow \leftrightsquigarrow |
\rightharpoondown \rightharpoondown |
\dashleftarrow \dashleftarrow |
\Lleftarrow \Lleftarrow |
\rightharpoonup \rightharpoonup |
\dashrightarrow \dashrightarrow |
\longleftarrow \longleftarrow |
\rightleftarrows \rightleftarrows |
\downarrow \downarrow |
\Longleftarrow \Longleftarrow |
\rightleftharpoons \rightleftharpoons |
\Downarrow \Downarrow |
\longleftrightarrow \longleftrightarrow |
\rightrightarrows \rightrightarrows |
\downdownarrows \downdownarrows |
\Longleftrightarrow \Longleftrightarrow |
\rightsquigarrow \rightsquigarrow |
\downharpoonleft \downharpoonleft |
\longmapsto \longmapsto |
\Rrightarrow \Rrightarrow |
\downharpoonright \downharpoonright |
\longrightarrow \longrightarrow |
\Rsh \Rsh |
\gets \gets |
\Longrightarrow \Longrightarrow |
\searrow \searrow |
\Harr \Harr |
\looparrowleft \looparrowleft |
\swarrow \swarrow |
\hArr \hArr |
\looparrowright \looparrowright |
\to \to |
\harr \harr |
\Lrarr \Lrarr |
\twoheadleftarrow \twoheadleftarrow |
\hookleftarrow \hookleftarrow |
\lrArr \lrArr |
\twoheadrightarrow \twoheadrightarrow |
\hookrightarrow \hookrightarrow |
\lrarr \lrarr |
\Uarr \Uarr |
\iff \iff |
\Lsh \Lsh |
\uArr \uArr |
\impliedby \impliedby |
\mapsto \mapsto |
\uarr \uarr |
\implies \implies |
\nearrow \nearrow |
\uparrow \uparrow |
\Larr \Larr |
\nleftarrow \nleftarrow |
\Uparrow \Uparrow |
\lArr \lArr |
\nLeftarrow \nLeftarrow |
\updownarrow \updownarrow |
\larr \larr |
\nleftrightarrow \nleftrightarrow |
\Updownarrow \Updownarrow |
\leadsto \leadsto |
\nLeftrightarrow \nLeftrightarrow |
\upharpoonleft \upharpoonleft |
\leftarrow \leftarrow |
\nrightarrow \nrightarrow |
\upharpoonright \upharpoonright |
\Leftarrow \Leftarrow |
\nRightarrow \nRightarrow |
\upuparrows \upuparrows |
\leftarrowtail \leftarrowtail |
\nwarrow \nwarrow |
|
\leftharpoondown \leftharpoondown |
\Rarr \Rarr |
Direct Input: ← ↑ → ↓ ↔ ↕ ↖ ↗ ↘ ↙ ↚ ↛ ↞ ↠ ↢ ↣ ↦ ↩ ↪ ↫ ↬ ↭ ↮ ↰ ↱↶ ↷ ↺ ↻ ↼ ↽ ↾ ↾ ↿ ⇀ ⇁ ⇂ ⇃ ⇄ ⇆ ⇇ ⇈ ⇉ ⇊ ⇋ ⇌⇍ ⇎ ⇏ ⇐ ⇑ ⇒ ⇓ ⇔ ⇕ ⇚ ⇛ ⇝ ⇠ ⇢ ⟵ ⟶ ⟷ ⟸ ⟹ ⟺ ⟼ ↽
Extensible Arrows
\xleftarrow{abc} \xleftarrow{abc} |
\xrightarrow[under]{over} \xrightarrow[under]{over} |
\xLeftarrow{abc} \xLeftarrow{abc} |
\xRightarrow{abc} \xRightarrow{abc} |
\xleftrightarrow{abc} \xleftrightarrow{abc} |
\xLeftrightarrow{abc} \xLeftrightarrow{abc} |
\xhookleftarrow{abc} \xhookleftarrow{abc} |
\xhookrightarrow{abc} \xhookrightarrow{abc} |
\xtwoheadleftarrow{abc} \xtwoheadleftarrow{abc} |
\xtwoheadrightarrow{abc} \xtwoheadrightarrow{abc} |
\xleftharpoonup{abc} \xleftharpoonup{abc} |
\xrightharpoonup{abc} \xrightharpoonup{abc} |
\xleftharpoondown{abc} \xleftharpoondown{abc} |
\xrightharpoondown{abc} \xrightharpoondown{abc} |
\xleftrightharpoons{abc} \xleftrightharpoons{abc} |
\xrightleftharpoons{abc} \xrightleftharpoons{abc} |
\xtofrom{abc} \xtofrom{abc} |
\xmapsto{abc} \xmapsto{abc} |
\xlongequal{abc} \xlongequal{abc} |
Extensible arrows all can take an optional argument in the same manner
as \xrightarrow[under]{over}.
Style, Color, Size, and Font
Class Assignment
\mathbin \mathclose \mathinner \mathop
\mathopen \mathord \mathpunct \mathrel
Color
\color{blue} F=ma \color{blue} F=ma
Note that KaTeX \color acts like a switch. This aligns with LaTeX and differs from MathJax.
Other KaTeX color functions expect the content to be a function argument:
\textcolor{blue}{F=ma} \textcolor{blue}{F=ma}
\textcolor{#228B22}{F=ma} \textcolor{#228B22}{F=ma}
\colorbox{aqua}{A} \colorbox{aqua}{A}
\fcolorbox{red}{aqua}{A} \fcolorbox{red}{aqua}{A}
For color definition, KaTeX color functions will accept the standard HTML predefined color names. They will also accept an RGB argument in CSS hexadecimal style. The "#" is optional before a six-digit specification.
Font
\mathrm{Ab0} \mathrm{Ab0} |
\mathbf{Ab0} \mathbf{Ab0} |
\mathit{Ab0} \mathit{Ab0} |
\mathnormal{Ab0} \mathnormal{Ab0} |
\textbf{Ab0} \textbf{Ab0} |
\textit{Ab0} \textit{Ab0} |
\textrm{Ab0} \textrm{Ab0} |
\bf Ab0 \bf Ab0 |
\it Ab0 \it Ab0 |
\rm Ab0 \rm Ab0 |
\bold{Ab0} \bold{Ab0} |
\textup{Ab0} \textup{Ab0} |
\textnormal{Ab0} \textnormal{Ab0} |
\boldsymbol{Ab0} \boldsymbol{Ab} |
\Bbb{AB} \Bbb{AB} |
\text{Ab0} \text{Ab0} |
\bm{Ab0} \bm{Ab0} |
\mathbb{AB} \mathbb{AB} |
\mathsf{Ab0} \mathsf{Ab0} |
\textmd{Ab0} \textmd{Ab0} |
\frak{Ab0} \frak{Ab0} |
\textsf{Ab0} \textsf{Ab0} |
\mathtt{Ab0} \mathtt{Ab0} |
\mathfrak{Ab0} \mathfrak{Ab0} |
\sf Ab0 \sf Ab0 |
\texttt{Ab0} \texttt{Ab0} |
\mathcal{AB0} \mathcal{AB0} |
\tt Ab0 \tt Ab0 |
\mathscr{AB} \mathscr{AB} |
One can stack font family, font weight, and font shape by using the \textXX versions of the font functions. So \textsf{\textbf{H}} will produce \textsf{\textbf{H}}. The other versions do not stack, e.g., \mathsf{\mathbf{H}} will produce \mathsf{\mathbf{H}}.
In cases where KaTeX fonts do not have a bold glyph, \pmb can simulate one. For example, \pmb{\mu} renders as : \pmb{\mu}
Size
\Huge AB \Huge AB |
\normalsize AB \normalsize AB |
\huge AB \huge AB |
\small AB \small AB |
\LARGE AB \LARGE AB |
\footnotesize AB \footnotesize AB |
\Large AB \Large AB |
\scriptsize AB \scriptsize AB |
\large AB \large AB |
\tiny AB \tiny AB |
Style
\displaystyle\sum_{i=1}^n \displaystyle\sum_{i=1}^n |
\textstyle\sum_{i=1}^n \textstyle\sum_{i=1}^n |
\scriptstyle x \scriptstyle x (The size of a first sub/superscript) |
\scriptscriptstyle x \scriptscriptstyle x (The size of subsequent sub/superscripts) |
\lim\limits_x \lim\limits_x |
\lim\nolimits_x \lim\nolimits_x |
\verb!x^2! \verb!x^2! |
\text{…} will accept nested $…$ fragments and render them in math mode.
Symbols and Punctuation
% comment |
\dots \dots |
\KaTeX \KaTeX |
\% \% |
\cdots \cdots |
\LaTeX \LaTeX |
\# \# |
\ddots \ddots |
\TeX \TeX |
\& \& |
\ldots \ldots |
\nabla \nabla |
\_ \_ |
\vdots \vdots |
\infty \infty |
\text{\textunderscore} \text{\textunderscore} |
\dotsb \dotsb |
\infin \infin |
\text{--} \text{--} |
\dotsc \dotsc |
\checkmark \checkmark |
\text{\textendash} \text{\textendash} |
\dotsi \dotsi |
\dag \dag |
\text{---} \text{---} |
\dotsm \dotsm |
\dagger \dagger |
\text{\textemdash} \text{\textemdash} |
\dotso \dotso |
\text{\textdagger} \text{\textdagger} |
\text{\textasciitilde} \text{\textasciitilde} |
\sdot \sdot |
\ddag \ddag |
\text{\textasciicircum} \text{\textasciicircum} |
\mathellipsis \mathellipsis |
\ddagger \ddagger |
$$ <code> |
\text{\textellipsis} \text{\textellipsis} |
\text{\textdaggerdbl} \text{\textdaggerdbl} |
\text{\textquoteleft} text{\textquoteleft} |
\Box \Box |
\Dagger \Dagger |
\lq \lq |
\square \square |
\angle \angle |
\text{\textquoteright} \text{\textquoteright} |
\blacksquare \blacksquare |
\measuredangle \measuredangle |
\rq \rq |
\triangle \triangle |
\sphericalangle \sphericalangle |
\text{\textquotedblleft} \text{\textquotedblleft} |
\triangledown \triangledown |
\top \top |
" " |
\triangleleft \triangleleft |
\bot \bot |
\text{\textquotedblright} \text{\textquotedblright} |
\triangleright \triangleright |
\$ \$ |
\colon \colon |
\bigtriangledown \bigtriangledown |
\text{\textdollar} \text{\textdollar} |
\backprime \backprime |
\bigtriangleup \bigtriangleup |
\pounds \pounds |
\prime \prime |
\blacktriangle \blacktriangle |
\mathsterling \mathsterling |
\text{\textless} \text{\textless} |
\blacktriangledown \blacktriangledown |
\text{\textsterling} \text{\textsterling} |
\text{\textgreater} \text{\textgreater} |
\blacktriangleleft \blacktriangleleft |
\yen \yen |
\text{\textbar} \text{\textbar} |
\blacktriangleright \blacktriangleright |
\surd \surd |
\text{\textbardbl} \text{\textbardbl} |
\diamond \diamond |
\degree \degree |
\text{\textbraceleft} \text{\textbraceleft} |
\Diamond \Diamond |
\text{\textdegree} \text{\textdegree} |
\text{\textbraceright} \text{\textbraceright} |
\lozenge \lozenge |
\mho \mho |
\text{\textbackslash} \text{\textbackslash} |
\blacklozenge \blacklozenge |
\diagdown \diagdown |
\text{\P} \text{\P} |
\star \star |
\diagup \diagup |
\text{\S} \text{\S} |
\bigstar \bigstar |
\flat \flat |
\text{\sect} \text{\sect} |
\clubsuit \clubsuit |
\natural \natural |
\copyright \copyright |
\clubs \clubs |
\sharp \sharp |
\circledR \circledR |
\diamondsuit \diamondsuit |
\heartsuit \heartsuit |
\text{\textregistered} \text{\textregistered} |
\diamonds \diamonds |
\hearts \hearts |
\circledS \circledS |
\spadesuit \spadesuit |
\spades \spades |
\text{\textcircled a} \text{\textcircled a} |
\maltese \maltese |
Direct Input: £ ¥ ∇ ∞ · ∠ ∡ ∢ ♠ ♡ ♢ ♣ ♭ ♮ ♯ ✓ … ⋮ ⋯ ⋱ ! ‼
Units
In KaTeX, units are proportioned as they are in TeX.
KaTeX units are different than CSS units.
| 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 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} |