This cheatsheet is about math constructs and symbols in LaTex Math mode, remember to put the dollar sign $ on both sides of the math equation.
Variable-sized Symbols
| Symbol |
LaTex |
Symbol |
LaTex |
| \(\sum\) |
\sum |
\(\displaystyle\sum\) |
\displaystyle\sum |
| \(\int\) |
\int |
\(\displaystyle\int\) |
\displaystyle\int |
| \(\prod\) |
\prod |
\(\displaystyle\prod\) |
\displaystyle\prod |
| \(\iint\) |
\iint |
\(\displaystyle\iint\) |
\displaystyle\iint |
| \(\oint\) |
\oint |
\(\displaystyle\oint\) |
\displaystyle\oint |
Some Examples
| Example |
LaTex |
| \(\sum_{k=1}^{\infty}{0.5^k}=1\) |
\sum_{k=1}^{\infty}{0.5^k}=1 |
| \(\displaystyle\sum_{k=1}^{\infty}{0.5^k}=1\) |
\displaystyle\sum_{k=1}^{\infty}{0.5^k}=1 |
| \(\int_1^2{3x^2}dx=7\) |
\int_1^2{3x^2}dx=7 |
| \(\displaystyle\int_1^2{3x^2}dx=7\) |
\displaystyle\int_1^2{3x^2}dx=7 |
| \(n!=\prod_{i=1}^n i\) |
n!=\prod_{i=1}^n i |
| \(n!=\displaystyle\prod_{i=1}^n i\) |
n!=\displaystyle\prod_{i=1}^n i |
Greek Letters
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\alpha\) |
\alpha |
\(\iota\) |
\iota |
\(\sigma\) |
\sigma |
| \(\beta\) |
\beta |
\(\kappa\) |
\kappa |
\(\varsigma\) |
\varsigma |
| \(\gamma\) |
\gamma |
\(\lambda\) |
\lambda |
\(\tau\) |
\tau |
| \(\delta\) |
\delta |
\(\mu\) |
\mu |
\(\upsilon\) |
\upsilon |
| \(\epsilon\) |
\epsilon |
\(\nu\) |
\nu |
\(\phi\) |
\phi |
| \(\varepsilon\) |
\varepsilon |
\(\xi\) |
\xi |
\(\varphi\) |
\varphi |
| \(\zeta\) |
\zeta |
\(\pi\) |
\pi |
\(\chi\) |
\chi |
| \(\eta\) |
\eta |
\(\varpi\) |
\varpi |
\(\psi\) |
\psi |
| \(\theta\) |
\theta |
\(\rho\) |
\rho |
\(\omega\) |
\omega |
| \(\vartheta\) |
\vartheta |
\(\varrho\) |
\varrho |
 |
 |
| Â |
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| \(\Gamma\) |
\Gamma |
\(\Xi\) |
\Xi |
\(\Phi\) |
\Phi |
| \(\Delta\) |
\Delta |
\(\Pi\) |
\Pi |
\(\Psi\) |
\Psi |
| \(\Theta\) |
\Theta |
\(\Sigma\) |
\Sigma |
\(\Omega\) |
\Omega |
| \(\Lambda\) |
\Lambda |
\(\Upsilon\) |
\Upsilon |
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Math Constructs and Accents
| Example |
LaTex |
Example |
LaTex |
| \(x^2\) |
x^2 |
\(\hat{x}\) |
\hat{x} |
| \(x_0\) |
x_0 |
\(\bar{x}\) |
\bar{x} |
| \(\frac{ab}{xy}\) |
\frac{ab}{xy} |
\(\dot{x}\) |
\dot{x} |
| \(\binom{n}{k}\) |
\binom{n}{k} |
\(\ddot{x}\) |
\ddot{x} |
| \(\sqrt{xy}\) |
\sqrt{xy} |
\(\tilde{x}\) |
\tilde{x} |
| \(\sqrt[n]{xy}\) |
\sqrt[n]{xy} |
\(\vec{x}\) |
\vec{x} |
| \(\widehat{xyz}\) |
\widehat{xyz} |
\(\check{x}\) |
\check{x} |
| \(\overline{xyz}\) |
\overline{xyz} |
\(\acute{x}\) |
\acute{x} |
| \(\underline{xyz}\) |
\underline{xyz} |
\(\grave{x}\) |
\grave{x} |
| \(\overrightarrow{xyz}\) |
\overrightarrow{xyz} |
\(\breve{x}\) |
\breve{x} |
| \(\overleftarrow{xyz}\) |
\overleftarrow{xyz} |
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Commonly Used Symbols
Arithmetic & Calculus
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\pm\) |
\pm |
\(\cdot\) |
\cdot |
\(\nabla\) |
\nabla |
| \(\mp\) |
\mp |
\(\bullet\) |
\bullet |
\(\partial\) |
\partial |
| \(\times\) |
\times |
\(\prime\) |
\prime |
\(\Re\) |
\Re |
| \(\div\) |
\div |
\(\infty\) |
\infty |
\(\Im\) |
\Im |
Relational
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\geq\) |
\geq |
\(\ll\) |
\ll |
\(\propto\) |
\propto |
| \(\leq\) |
\leq |
\(\neq\) |
\neq |
\(\triangleq\) |
\triangleq |
| \(\geqslant\) |
\geqslant |
\(\equiv\) |
\equiv |
\(\doteq\) |
\doteq |
| \(\leqslant\) |
\leqslant |
\(\approx\) |
\approx |
\(\lessgtr\) |
\lessgtr |
| \(\gg\) |
\gg |
\(\sim\) |
\sim |
\(\gtrless\) |
\gtrless |
| Â |
 |
\(\cong\) |
\cong |
 |
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Geometry
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\angle\) |
\angle |
\(\overline{AB}\) |
\overline{AB} |
\(\parallel\) |
\parallel |
| \(\triangle\) |
\triangle |
\(\vec{AB}\) |
\vec{AB} |
\(\nparallel\) |
\nparallel |
| \(\square\) |
\square |
\(\vert AB\vert\) |
\vert AB\vert |
\(\perp\) |
\perp |
| Â |
 |
\(\Vert AB\Vert\) |
\Vert AB\Vert |
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Set Theory
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\emptyset\) |
\emptyset |
\(\mathbb{R}\) |
\mathbb{R} |
\(\aleph\) |
\aleph |
| \(\varnothing\) |
\varnothing |
\(\mathbb{Z}\) |
\mathbb{Z} |
\(\beth\) |
\beth |
| \(\cup\) |
\cup |
\(A^\mathrm{C}\) |
A^\mathrm{C} |
\(\uplus\) |
\uplus |
| \(\cap\) |
\cap |
\(\setminus\) |
\setminus |
 |
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| \(\subset\) |
\subset |
\(\supset\) |
\supset |
\(\in\) |
\in |
| \(\subseteq\) |
\subseteq |
\(\supseteq\) |
\supseteq |
\(\notin\) |
\notin |
| \(\not\subset\) |
\not\subset |
\(\not\supset\) |
\not\supset |
\(\ni\) |
\ni |
| \(\not\subseteq\) |
\not\subseteq |
\(\not\supseteq\) |
\not\supseteq |
\(\not\ni\) |
\not\ni |
Logic
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\forall\) |
\forall |
\(\oplus\) |
\oplus |
\(\top\) |
\top |
| \(\exists\) |
\exists |
\(\veebar\) |
\veebar |
\(\bot\) |
\bot |
| \(\nexists\) |
\nexists |
\(\iff\) |
\iff |
\(\vdash\) |
\vdash |
| \(\land\) |
\land |
\(\implies\) |
\implies |
\(\models\) |
\models |
| \(\lor\) |
\lor |
\(\because\) |
\because |
\(\blacksquare\) |
\ blacksquare |
| \(\lnot\) |
\lnot |
\(\therefore\) |
\threrfore |
\(\Box\) |
\Box |
Arrows
| Symbol |
LaTex |
Symbol |
LaTex |
| \(\uparrow\) |
\uparrow |
\(\leftrightarrow\) |
\leftrightarrow |
| \(\downarrow\) |
\downarrow |
\(\Leftrightarrow\) |
\Leftrightarrow |
| \(\leftarrow\) |
\leftarrow |
\(\longleftrightarrow\) |
\longleftrightarrow |
| \(\rightarrow\) |
\rightarrow |
\(\Longleftrightarrow\) |
\Longleftrightarrow |
| \(\Uparrow\) |
\Uparrow |
\(\nwarrow\) |
\nwarrow |
| \(\Downarrow\) |
\Downarrow |
\(\nearrow\) |
\nearrow |
| \(\Leftarrow\) |
\Leftarrow |
\(\swarrow\) |
\swarrow |
| \(\Rightarrow\) |
\Rightarrow |
\(\searrow\) |
\searrow |
| \(\updownarrow\) |
\updownarrow |
\(\rightleftharpoons\) |
\rightleftharpoons |
| \(\Updownarrow\) |
\Updownarrow |
\(\upuparrows\) |
\upuparrows |
Miscellaneous
| Symbol |
LaTex |
Symbol |
LaTex |
Symbol |
LaTex |
| \(\circ\) |
\circ |
\(\dagger\) |
\dagger |
\(\hbar\) |
\hbar |
| \(\bigcirc\) |
\bigcirc |
\(\ddagger\) |
\ddagger |
\(\imath\) |
\imath |
| \(\odot\) |
\odot |
\(\diamond\) |
\diamond |
\(\jmath\) |
\jmath |
| \(\ominus\) |
\ominus |
\(\lhd\) |
\lhd |
\(\ell\) |
\ell |
| \(\oplus\) |
\oplus |
\(\rhd\) |
\rhd |
\(\eth\) |
\eth |
| \(\oslash\) |
\oslash |
\(\unlhd\) |
\unlhd |
\(\wp\) |
\wp |
| \(\otimes\) |
\otimes |
\(\unrhd\) |
\unrhd |
\(\flat\) |
\flat |
| \(\prec\) |
\prec |
\(\vee\) |
\vee |
\(\natural\) |
\natural |
| \(\succ\) |
\succ |
\(\wedge\) |
\wedge |
\(\mho\) |
\mho |
| \(\preceq\) |
\preceq |
\(\wr\) |
\wr |
\(\surd\) |
\surd |
| \(\succeq\) |
\succeq |
\(\ltimes\) |
\ltimes |
\(\spadesuit\) |
\spadesuit |
| \(\smile\) |
\smile |
\(\rtimes\) |
\rtimes |
\(\heartsuit\) |
\heartsuit |
| \(\frown\) |
\frown |
\(\Join\) |
\Join |
\(\clubsuit\) |
\clubsuit |
| \(\asymp\) |
\asymp |
\(\circledast\) |
\circledast |
\(\diamondsuit\) |
\diamondsuit |
Matrix
Bracket and dot symbols
| Symbol |
LaTex |
Symbol |
LaTex |
| \((A)\) |
(A) |
\([A]\) |
[A] |
| \(\left( A\right)\) |
\left( A\right) |
\(\left[ A\right]\) |
\left[ A\right] |
| \(\vert A\vert\) |
|A| |
\(\{ A\}\) |
\{ A\} |
| \(\vert A\vert\) |
\vert A\vert |
\(\lceil A\rceil\) |
\lceil A\rceil |
| \(| A|\) |
\| A\| |
\(\lfloor A\rfloor\) |
\lfloor A\rfloor |
| \(\Vert A\Vert\) |
\Vert A\Vert |
\(\langle A\rangle\) |
\langle A\rangle |
| Â |
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| \(\cdots\) |
\cdots |
\(\ldots\) |
\ldots |
| \(\vdots\) |
\vdots |
\(\ddots\) |
\ddots |
Matrix examples
| Example |
LaTex |
| \(\begin{bmatrix}a & b\\c & d\end{bmatrix}\) |
\begin{bmatrix}a & b\\c & d\end{bmatrix} |
| \(\begin{pmatrix}a & b\\c & d\end{pmatrix}\) |
\begin{pmatrix}a & b\\c & d\end{pmatrix} |
| \(\begin{vmatrix}a & b\\c & d\end{vmatrix}\) |
\begin{vmatrix}a & b\\c & d\end{vmatrix} |
| \(\begin{Vmatrix}a & b\\c & d\end{Vmatrix}\) |
\begin{Vmatrix}a & b\\c & d\end{Vmatrix} |
| \(\begin{bmatrix} a_{11} & a_{12} & \dots & a_{1N}\\ \vdots & \vdots & \ddots & \vdots \\ a_{N1} & a_{N2} & \cdots & a_{NN} \end{bmatrix}\) |
\begin{bmatrix} a_{11} & a_{12} & \dots & a_{1N}\\ \vdots & \vdots & \ddots & \vdots \\ a_{N1} & a_{N2} & \cdots & a_{NN} \end{bmatrix} |
Standard Function Names
Typing the function name directly will result in italic font, which is not ideal. Therefore, it is recommended to add a backslash before the function name to use the standard name in LaTex, e.g.
\(\cos(x)\) \cos(x) is ideal,
\(cos(x)\) cos(x) is not.
| Name |
LaTex |
Name |
LaTex |
Name |
LaTex |
Name |
LaTex |
| \(\arccos\) |
\arccos |
\(\csc\) |
\csc |
\(\ker\) |
\ker |
\(\min\) |
\min |
| \(\arcsin\) |
\arcsin |
\(\deg\) |
\deg |
\(\log\) |
\log |
\(\Pr\) |
\Pr |
| \(\arctan\) |
\arctan |
\(\det\) |
\det |
\(\lim\) |
\lim |
\(\sec\) |
\sec |
| \(\arg\) |
\arg |
\(\dim\) |
\dim |
\(\liminf\) |
\liminf |
\(\sin\) |
\sin |
| \(\cos\) |
\cos |
\(\exp\) |
\exp |
\(\limsup\) |
\limsup |
\(\sinh\) |
\sinh |
| \(\cosh\) |
\cosh |
\(\gcd\) |
\gcd |
\(\ln\) |
\ln |
\(\sup\) |
\sup |
| \(\cot\) |
\cot |
\(\hom\) |
\hom |
\(\log\) |
\log |
\(\tan\) |
\tan |
| \(\coth\) |
\coth |
\(\inf\) |
\inf |
\(\max\) |
\max |
\(\tanh\) |
\tanh |
Math Fonts
| Font |
Examples |
| normal |
\(ABCDEFGHIJKLMNOPQRSTUVWXYZ\) |
\mathcal{} |
\(\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\) |
\mathfrak{} |
\(\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\) |
\mathbb{} |
\(\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\) |
| Â |
 |
| normal |
\(abc+xyz-ij\times pq, 1234567890\) |
\mathrm{} |
\(\mathrm{abc+xyz-ij\times pq, 1234567890}\) |
\mathit{} |
\(\mathit{abc+xyz-ij\times pq, 1234567890}\) |
\mathbf{} |
\(\mathbf{abc+xyz-ij\times pq, 1234567890}\) |
\mathsf{} |
\(\mathsf{abc+xyz-ij\times pq, 1234567890}\) |
\mathtt{} |
\(\mathtt{abc+xyz-ij\times pq, 1234567890}\) |