LaTeX Symbols

12 minute read

List of LaTeX. Wrap $$ around your code.

1. Greek and Hebrew Letters


\(\alpha\) \alpha \(\Phi\), \(\phi\) and \(\varphi\) \Phi, \phi and \varphi
\(\beta\) \beta \(\Pi\), \(\pi\) and \(\varpi\) \Pi, \pi and \varpi
\(\chi\) \chi \(\Psi\) and \(\psi\) \Psi and \psi
\(\Delta\) and \(\delta\) \Delta and \delta \(\rho\) and \(\varrho\) \rho and \varrho
\(\epsilon\) and \(\varepsilon\) \epsilon and \varepsilon \(\Sigma\), \(\sigma\) and \(\varsigma\) \Sigma, \sigma and \varsigma
\(\Gamma\) and \(\gamma\) \Gamma and \gamma \(\tau\) \tau
\(\eta\) \eta \(\Theta\), \(\theta\) and \(\vartheta\) \Theta, \theta and \vartheta
\(\iota\) \iota \(\Upsilon\) and \(\upsilon\) \Upsilon and \upsilon
\(\kappa\) and \(\varkappa\) \kappa and \varkappa \(\Xi\) and \(\xi\) \Xi and \xi
\(\Lambda\) and \(\lambda\) \Lambda and \lambda \(\zeta\) \zeta
\(\mu\) \mu \(\aleph\) \aleph
\(\nu\) \nu \(\beth\) \beth
\(\omicron\) \omicron \(\daleth\) \daleth
\(\Omega\) and \(\omega\) \Omega and \omega \(\gimel\) \gimel

Example

$$P(\alpha,\beta)$$

\[P(\alpha,\beta)\]

2. LaTeX Math Constructs


\(\frac{abc}{xyz}\) \frac{abc}{xyz}   \(\widehat{abc}\) \widehat{abc}
\(f^{\prime}\) f’ or f^{\prime}   \(\widetilde{abc}\) \widetilde{abc}
\(\sqrt{abc}\) \sqrt{abc}   \(\overrightarrow{abc}\) \overrightarrow{abc}
\(\sqrt[n]{abc}\) \sqrt[n]{abc}   \(\overleftarrow{abc}\) \overleftarrow{abc}
\(\overline{abc}\) \overline{abc}   \(\overbrace{abc}\) \overbrace{abc}
\(\underline{abc}\) \underline{abc}   \(\underbrace{abc}\) \underbrace{abc}

Example

$$2\frac{4x+1}{y-2}$$

\[2\frac{4x+1}{y-2}\]

$$[\underbrace{1,2,3,\cdots,p-1}_{\text{p-1 elements}}]$$

\[[\underbrace{1,2,3,\cdots,p-1}_{\text{p-1 elements}}]\]

3. Delimeters


\(\vert\) | or \vert \(/\) / \(\Uparrow\) \Uparrow \(\lfloor\) \lfloor \(\llcorner\) llcorner
\(\Vert\) \| or \Vert \(\backslash\) \backslash \(\uparrow\) \uparrow \(\rfloor\) \rfloor \(\lrcorner\) lrcorner
\(\{\) \{ \([\) [ \(\Downarrow\) \Downarrow \(\lceil\) \lceil \(\ulcorner\) \ulcorner
\(\}\) \} \(]\) ] \(\downarrow\) \downarrow \(\rceil\) \rceil \(\urcorner\) \urcorner
\(\langle\) \langle                
\(\rangle\) \rangle                

Example

$$|\psi\rangle =\frac{1}{\sqrt{2}}|0\rang +|1\rangle$$

\[\vert\psi\rangle =\frac{1}{\sqrt{2}} (\vert0\rangle + \vert1\rangle)\]

$$\lfloor\frac{q}{2}\rceil$$

\[\lfloor\frac{q}{2}\rceil\]

4. Variable-sized Symbols


\(\sum\) \sum \(\iint\) \iint \(\bigoplus\) \bigoplus
\(\prod\) \prod \(\biguplus\) \biguplus \(\bigotimes\) \bigotimes
\(\coprod\) \coprod \(\bigcap\) \bigcap \(\bigodot\) \bigodot
\(\int\) \int \(\bigcup\) \bigcup \(\bigvee\) \bigvee
\(\oint\) \oint \(\bigsqcup\) bigsqcup \(\bigwedge\) \bigwedge

Example

$$\sum_{n=1}^{\infty} 2^{-n} = 1$$

\[\sum_{n=1}^{\infty} 2^{-n} = 1\]

$$\prod_{i=a}^{b} f(i)$$

\[\prod_{i=a}^{b} f(i)\]

5. Standard Function Names


\(\sin\) \sin \(\sinh\) \sinh \(\arcsin\) \arcsin \(\arg\) \arg
\(\cos\) \cos \(\cosh\) \cosh \(\arccos\) \arccos \(\deg\) \deg
\(\tan\) \tan \(\tanh\) \tanh \(\arctan\) \arctan \(\det\) \det
\(\cot\) \cot \(\coth\) \coth \(\bmod\) \bmod \(\dim\) \dim
\(\sec\) \sec \(\lg\) \lg \(\lim\) \lim \(\exp\) \exp
\(\csc\) \csc \(\log\) \log \(\liminf\) \liminf \(\gcd\) \gcd
\(\min\) \min \(\ln\) \ln \(\limsup\) \limsup \(\hom\) \hom
\(\max\) \max \(\ker\) \ker \(\inf\) \inf \(\Pr\) \Pr
\(\sup\) \sup            

Example

$$e^{i\theta}=\cos{\theta}+i\sin{\theta}$$

\[e^{i\theta}=\cos{\theta}+i\sin{\theta}\]

$$\log_{2}\frac{x+1}{x-1}$$

\[\log_{2}\frac{x+1}{x-1}\]

6. Binary Operation/Relation Symbols


\(\ast\) \ast \(\pm\) \pm \(\cap\) \cap \(\lhd\) \lhd
\(\star\) \star \(\mp\) \mp \(\cup\) \cup \(\rhd\) \rhd
\(\cdot\) \cdot \(\amalg\) \amalg \(\uplus\) \uplus \(\triangleleft\) \triangleleft
\(\circ\) \circ \(\odot\) \odot \(\sqcap\) \sqcap \(\triangleright\) \triangleright
\(\bullet\) \bullet \(\ominus\) \ominus \(\sqcup\) \sqcup \(\unlhd\) \unlhd
\(\bigcirc\) \bigcirc \(\oplus\) \oplus \(\wedge\) \wedge \(\unrhd\) \unrhd
\(\diamond\) \diamond \(\oslash\) \oslash \(\vee\) \vee \(\bigtriangledown\) \bigtriangledown
\(\times\) \times \(\otimes\) \otimes \(\dagger\) \dagger \(\bigtriangleup\) \bigtriangleup
\(\div\) \div \(\wr\) \wr \(\ddagger\) \ddagger \(\setminus\) \setminus
\(\centerdot\) \centerdot \(\Box\) \Box \(\barwedge\) \barwedge \(\veebar\) \veebar
\(\circledast\) \circledast \(\boxplus\) \boxplus \(\curlywedge\) \curlywedge \(\curlyvee\) \curlyvee
\(\circledcirc\) \circledcirc \(\boxminus\) \boxminus \(\Cap\) \Cap \(\Cup\) \Cup
\(\circleddash\) \circleddash \(\boxtimes\) \boxtimes \(\bot\) \bot \(\top\) \top
\(\dotplus\) \dotplus \(\boxdot\) \boxdot \(\intercal\) \intercal \(\rightthreetimes\) \rightthreetimes
\(\divideontimes\) \divideontimes \(\square\) \square \(\doublebarwedge\) \doublebarwedge \(\leftthreetimes\) \leftthreetimes
\(\equiv\) \equiv \(\leq\) \leq \(\geq\) \geq \(\perp\) \perp
\(\cong\) \cong \(\prec\) \prec \(\succ\) \succ \(\mid\) \mid
\(\neq\) \neq \(\preceq\) \preceq \(\succeq\) \succeq \(\parallel\) \parallel
\(\sim\) \sim \(\ll\) \ll \(\gg\) \gg \(\bowtie\) \bowtie
\(\simeq\) \simeq \(\subset\) \subset \(\supset\) \supset \(\Join\) \Join
\(\approx\) \approx \(\subseteq\) \subseteq \(\supseteq\) \supseteq \(\ltimes\) \ltimes
\(\asymp\) \asymp \(\sqsubset\) \sqsubset \(\sqsupset\) \sqsupset \(\rtimes\) \rtimes
\(\doteq\) \doteq \(\sqsubseteq\) \sqsubseteq \(\sqsupseteq\) \sqsupseteq \(\smile\) \smile
\(\propto\) \propto \(\dashv\) \dashv \(\vdash\) \vdash \(\frown\) \frown
\(\models\) \models \(\in\) \in \(\ni\) \ni \(\notin\) \notin
\(\approxeq\) \approxeq \(\leqq\) \leqq \(\geqq\) \geqq \(\lessgtr\) \lessgtr
\(\thicksim\) \thicksim \(\leqslant\) \leqslant \(\geqslant\) \geqslant \(\lesseqgtr\) \lesseqgtr
\(\backsim\) \backsim \(\lessapprox\) \lessapprox \(\gtrapprox\) \gtrapprox \(\lesseqqgtr\) \lesseqqgtr
\(\backsimeq\) \backsimeq \(\lll\) \lll \(\ggg\) \ggg \(\gtreqqless\) \gtreqqless
\(\triangleq\) \triangleq \(\lessdot\) \lessdot \(\gtrdot\) \gtrdot \(\gtreqless\) \gtreqless
\(\circeq\) \circeq \(\lesssim\) \lesssim \(\gtrsim\) \gtrsim \(\gtrless\) \gtrless
\(\bumpeq\) \bumpeq \(\eqslantless\) \eqslantless \(\eqslantgtr\) \eqslantgtr \(\backepsilon\) \backepsilon
\(\Bumpeq\) \Bumpeq \(\precsim\) \precsim \(\succsim\) \succsim \(\between\) \between
\(\doteqdot\) \doteqdot \(\precapprox\) \precapprox \(\succapprox\) \succapprox \(\pitchfork\) \pitchfork
\(\thickapprox\) \thickapprox \(\Subset\) \Subset \(\Supset\) \Supset \(\shortmid\) \shortmid
\(\fallingdotseq\) \fallingdotseq \(\subseteqq\) \subseteqq \(\supseteqq\) \supseteqq \(\smallfrown\) \smallfrown
\(\risingdotseq\) \risingdotseq \(\sqsubset\) \sqsubset \(\sqsupset\) \sqsupset \(\smallsmile\) \smallsmile
\(\varpropto\) \varpropto \(\preccurlyeq\) \preccurlyeq \(\succcurlyeq\) \succcurlyeq \(\Vdash\) \Vdash
\(\therefore\) \therefore \(\curlyeqprec\) \curlyeqprec \(\curlyeqsucc\) \curlyeqsucc \(\vDash\) \vDash
\(\because\) \because \(\blacktriangleleft\) \blacktriangleleft \(\blacktriangleright\) \blacktriangleright \(\Vvdash\) \Vvdash
\(\eqcirc\) \eqcirc \(\trianglelefteq\) \trianglelefteq \(\trianglerighteq\) \trianglerighteq \(\shortparallel\) \shortparallel
\(\neq\) \neq \(\vartriangleleft\) \vartriangleleft \(\vartriangleright\) \vartriangleright \(\nshortparallel\) \nshortparallel
\(\ncong\) \ncong \(\nleq\) \nleq \(\ngeq\) \ngeq \(\nsubseteq\) \nsubseteq
\(\nmid\) \nmid \(\nleqq\) \nleqq \(\ngeqq\) \ngeqq \(\nsupseteq\) \nsupseteq
\(\nparallel\) \nparallel \(\nleqslant\) \nleqslant \(\ngeqslant\) \ngeqslant \(\nsubseteqq\) \nsubseteqq
\(\nshortmid\) \nshortmid \(\nless\) \nless \(\ngtr\) \ngtr \(\nsupseteqq\) \nsupseteqq
\(\nshortparallel\) \nshortparallel \(\nprec\) \nprec \(\nsucc\) \nsucc \(\subsetneq\) \subsetneq
\(\nsim\) \nsim \(\npreceq\) \npreceq \(\nsucceq\) \nsucceq \(\supsetneq\) \supsetneq
\(\nVDash\) \nVDash \(\precnapprox\) \precnapprox \(\succnapprox\) \succnapprox \(\subsetneqq\) \subsetneqq
\(\nvDash\) \nvDash \(\precnsim\) \precnsim \(\succnsim\) \succnsim \(\supsetneqq\) \supsetneqq
\(\nvdash\) \nvdash \(\lnapprox\) \lnapprox \(\gnapprox\) \gnapprox \(\varsubsetneq\) \varsubsetneq
\(\ntriangleleft\) \ntriangleleft \(\lneq\) \lneq \(\gneq\) \gneq \(\varsupsetneq\) \varsupsetneq
\(\ntrianglelefteq\) \ntrianglelefteq \(\lneqq\) \lneqq \(\gneqq\) \gneqq \(\varsubsetneqq\) \varsubsetneqq
\(\ntriangleright\) \ntriangleright \(\lnsim\) \lnsim \(\gnsim\) \gnsim \(\varsupsetneqq\) \varsupsetneqq
\(\ntrianglerighteq\) \ntrianglerighteq \(\lvertneqq\) \lvertneqq \(\gvertneqq\) \gvertneqq    

Example

$$x=\pm 2$$

\[x=\pm 2\]

$$A \oplus B=B \oplus A$$

\[A \oplus B=B \oplus A\]

7. Arrow Symbols


\(\leftarrow\) \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 \(\leadsto\) \leadsto    
\(\dashrightarrow\) \dashrightarrow \(\dashleftarrow\) \dashleftarrow \(\leftleftarrows\) \leftleftarrows
\(\leftrightarrows\) \leftrightarrows \(\Lleftarrow\) \Lleftarrow \(\twoheadleftarrow\) \twoheadleftarrow
\(\leftarrowtail\) \leftarrowtail \(\looparrowleft\) \looparrowleft \(\leftrightharpoons\) \leftrightharpoons
\(\curvearrowleft\) \curvearrowleft \(\circlearrowleft\) \circlearrowleft \(\Lsh\) \Lsh
\(\upuparrows\) \upuparrows \(\upharpoonleft\) \upharpoonleft \(\downharpoonleft\) \downharpoonleft
\(\multimap\) \multimap \(\leftrightsquigarrow\) \leftrightsquigarrow \(\rightrightarrows\) \rightrightarrows
\(\rightleftarrows\) \rightleftarrows \(\rightrightarrows\) \rightrightarrows \(\rightleftarrows\) \rightleftarrows
\(\twoheadrightarrow\) \twoheadrightarrow \(\rightarrowtail\) \rightarrowtail \(\looparrowright\) \looparrowright
\(\rightleftharpoons\) \rightleftharpoons \(\curvearrowright\) \curvearrowright \(\circlearrowright\) \circlearrowright
\(\Rsh\) \Rsh \(\downdownarrows\) \downdownarrows \(\upharpoonright\) \upharpoonright
\(\downharpoonright\) \downharpoonright \(\rightsquigarrow\) \sqsubset    
\(\nleftarrow\) \nleftarrow \(\nrightarrow\) \nrightarrow \(\nLeftarrow\) \nLeftarrow
\(\nRightarrow\) \nRightarrow \(\nleftrightarrow\) \nleftrightarrow \(\nLeftrightarrow\) \nLeftrightarrow

Example

$$\phi :E \longrightarrow E^{\prime}$$

\[\phi :E \longrightarrow E^{\prime}\]

8. Miscellaneous Symbols


\(\infty\) \infty \(\forall\) \forall \(\Bbbk\) \Bbbk \(\wp\) \wp
\(\nabla\) \nabla \(\exists\) \exists \(\bigstar\) \bigstar \(\angle\) \angle
\(\partial\) \partial \(\nexists\) \nexists \(\diagdown\) \diagdown \(\measuredangle\) \measuredangle
\(\eth\) \eth \(\emptyset\) \emptyset \(\diagup\) \diagup \(\sphericalangle\) \sphericalangle
\(\clubsuit\) \clubsuit \(\varnothing\) \varnothing \(\Diamond\) \Diamond \(\complement\) \complement
\(\diamondsuit\) \diamondsuit \(\imath\) \imath \(\Finv\) \Finv \(\triangledown\) \triangledown
\(\heartsuit\) \heartsuit \(\jmath\) \jmath \(\Game\) \Game \(\triangle\) \triangle
\(\spadesuit\) \spadesuit \(\ell\) \ell \(\hbar\) \hbar \(\vartriangle\) \vartriangle
\(\cdots\) \cdots \(\iiiint\) \iiiint \(\hslash\) \hslash \(\blacklozenge\) \blacklozenge
\(\vdots\) \vdots \(\iiint\) \iiint \(\lozenge\) \lozenge \(\blacksquare\) \blacksquare
\(\ldots\) \ldots \(\iint\) \iint \(\mho\) \mho \(\blacktriangle\) \blacktriangle
\(\ddots\) \ddots \(\sharp\) \sharp \(\prime\) \prime \(\blacktriangledown\) \blacktriangledown
\(\Im\) \Im \(\flat\) \flat \(\square\) \square \(\backprime\) \backprime
\(\Re\) \Re \(\natural\) \natural \(\surd\) \surd \(\circledS\) \circledS

Example

$$x=\infty$$

\[x=\infty\]

9. Math Mode Accents


\(\acute{a}\) \acute{a} \(\bar{a}\) \bar{a} \(\acute{\acute{A}}\) \acute{\acute{A}} \(\bar{\bar{A}}\) \bar{\bar{A}}
\(\breve{a}\) \breve{a} \(\check{a}\) \check{a} \(\breve{\breve{A}}\) \breve{\breve{A}} \(\check{\check{A}}\) \check{\check{A}}
\(\ddot{a}\) \ddot{a} \(\dot{a}\) \dot{a} \(\ddot{\ddot{A}}\) \ddot{\ddot{A}} \(\dot{\dot{A}}\) \dot{\dot{A}}
\(\grave{a}\) \grave{a} \(\hat{a}\) \hat{a} \(\grave{\grave{A}}\) \grave{\grave{A}} \(\hat{\hat{A}}\) \hat{\hat{A}}
\(\tilde{a}\) \tilde{a} \(\vec{a}\) \vec{a} \(\tilde{\tilde{A}}\) \tilde{\tilde{A}} \(\vec{\vec{A}}\) \vec{\vec{A}}

Example

$$\vec{AC}=\vec{AB}+\vec{BC}$$

\[\vec{AC}=\vec{AB}+\vec{BC}\]

10. Matrix


\(\begin{matrix}1&2&3\\a&b&c\end{matrix}\) \begin{matrix}1&2&3\\a&b&c\end{matrix}
\(\begin{pmatrix}1&2&3\\a&b&c\end{pmatrix}\) \begin{pmatrix}1&2&3\\a&b&c\end{pmatrix}
\(\begin{bmatrix}1&2&3\\a&b&c\end{bmatrix}\) \begin{bmatrix}1&2&3\\a&b&c\end{bmatrix}
\(\begin{Bmatrix}1&2&3\\a&b&c\end{Bmatrix}\) \begin{Bmatrix}1&2&3\\a&b&c\end{Bmatrix}
\(\begin{vmatrix}1&2&3\\a&b&c\end{vmatrix}\) \begin{vmatrix}1&2&3\\a&b&c\end{vmatrix}
\(\begin{Vmatrix}1&2&3\\a&b&c\end{Vmatrix}\) \begin{Vmatrix}1&2&3\\a&b&c\end{Vmatrix}

Example

Custom matrix can be created together with the plain matrix.

$$\left\langle\begin{matrix}1&2&3\\a&b&c\end{matrix}\right\rangle$$

\[\left\langle\begin{matrix}1&2&3\\a&b&c\end{matrix}\right\rangle\]

12. Other Styles


Math Mode only.

Caligraphic Letters

LaTeX: $$\mathcal{}$$

\[\mathcal{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathcal{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

MathBB Letters

LaTeX: $$\mathbb{}$$

\[\mathbb{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathbb{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

MathFrak Letters

LaTeX: $$\mathfrak{}$$

\[\mathfrak{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathfrak{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

Math Sans Serif Letters

LaTeX: $$\mathsf{}$$

\[\mathsf{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathsf{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

Math Bold Letters

LaTeX: $$\mathbf{}$$

\[\mathbf{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathbf{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

Math Bold Italic Letters

LaTeX: $$\mathbi{}$$ \(\def\mathbi{}\)

Define $$\def\mathbi{}$$ before using.

\[\mathbi{A\ B\ C\ D\ E\ F\ G\ H\ I\ J\ K\ L\ M\ N\ O\ P\ Q\ R\ S\ T\ U\ V\ W\ X\ Y\ Z}\] \[\mathbi{a\ b\ c\ d\ e\ f\ g\ h\ i\ j\ k\ l\ m\ n\ o\ p\ q\ r\ s\ t\ u\ v\ w\ x\ y\ z}\]

References


  1. https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols
  2. https://www.cmor-faculty.rice.edu/~heinken/latex/symbols.pdf
  3. https://www.overleaf.com/learn/latex/Integrals%2C_sums_and_limits

Updated: