Mathematic Formulas

The mathematical typesetting is based on LaTeX, so if you need to search for a way to make a particular symbol, include latex in your search. But note: Not all LaTeX macros are available without using additional packages, and those packages likely will only work if you are creating a PDF. On the plus side, if you are working in PDF, you can use additional packages that give much better control and/or easier syntax.

This article is about the basics of math symbols in Latex.

Greek Letters

αA $\alpha A$ νN $\nu N$
βB $\beta B$ ξΞ $\xi\Xi$
γΓ $\gamma \Gamma$ oO $o O$ (omicron)
δΔ $\delta \Delta$ πΠ $\pi \Pi$
ϵεE $\epsilon \varepsilon E$ ρϱP $\rho\varrho P$
ζZ $\zeta Z \sigma \,\!$ ΣΣ $\sigma \Sigma$
ηH $\eta H$ τT $\tau T$
θϑ $\theta \vartheta \Theta$ υΥ $\upsilon \Upsilon$
ιI $\iota I$ ϕφΦ $\phi \varphi \Phi$
κK $\kappa K$ χX $\chi X$
λΛ $\lambda \Lambda$ ψΨ $\psi \Psi$
μM $\mu M$ ωΩ $\omega \Omega$

Operators

Symbol Script
$\cos$ \cos
$\sin$ \sin
$\lim$ \lim
$\exp$ \exp
$\to$ \to
$\infty$ \infty
$\equiv$ \equiv
$\bmod$ \bmod
$\times$ \times

Power and Indices

Symbol Script
$k_{n+1}$ k_{n+1}
$n^2$ n^2
$k_n^2$ k_n^2

Fractions and Binomials

Symbol Script
$\frac{n!}{k!(n-k)!}$ \frac{n!}{k!(n-k)!}
$\binom{n}{k}$ \binom{n}{k}
$\frac{\frac{x}{1}}{x - y}$ \frac{\frac{x}{1}}{x - y}
$^3/_7$ ^3/_7

Roots

Symbol Script
$\sqrt{k}$ \sqrt{k}
$\sqrt[n]{k}$ \sqrt[n]{k}

Sums and Integrals

$\int a^4 tan^2t sec^3t dt$

Symbol Script
$\sum_{i=1}^{10} t_i$ \sum_{i=1}^{10} t_i
$\int_0^\infty \mathrm{e}^{-x}\mathrm{d}x$ \int_0^\infty \mathrm{e}^{-x}\mathrm{d}x
$\int_{-\infty}^{\infty} f(x) ; dx$ \int_{-\infty}^{\infty} f(x) ; dx
$\left. F(x) \right _{a}^{b}$
$\sum$ \sum
$\prod$ \prod
$\coprod$ \coprod
$\implies$ \implies
$\bigoplus$ \bigoplus
$\bigotimes$ \bigotimes
$\bigodot$ \bigodot
$\bigcup$ \bigcup
$\bigcap$ \bigcap
$\biguplus$ \biguplus
$\bigsqcup$ \bigsqcup
$\bigvee$ \bigvee
$\vee$ \vee
$\bigwedge$ \bigwedge
$\wedge$ \wedge
$\int$ \int
$\oint$ \oint
$\iint$ \iint
$\iiint$ \iiint
$\idotsint$ \idotsint
$\sum_{\substack{0<i<m,0<j<n}} P(i, j)$ \sum_{\substack{0<i<m,0<j<n}} P(i, j)
$\int\limits_a^b$ \int\limits_a^b

Marks

Symbol Script
$a’$ $a^{\prime}$ a` a^{\prime}
$a’’$ a’’
$\hat{a}$ hat{a}
$\bar{a}$ \bar{a}
$\grave{a}$ \grave{a}
$\acute{a}$ \acute{a}
$\stackrel{·}{\sim}$ \dot{a}
$\ddot{a}$ \ddot{a}
$\not{a}$ \not{a}
$\mathring{a}$ \mathring{a}
$\overrightarrow{AB}$ \overrightarrow{AB}
$\overleftarrow{AB}$ \overleftarrow{AB}
$a’’’$ a’’’
$\overline{aaa}$ \overline{aaa}
$\check{a}$ \check{a}
$\vec{a}$ \vec{a}
$\underline{a}$ \underline{a}
$\color{red}x$ \color{red}x
$\pm$ \pm
$\mp$ \mp
$\int y \mathrm{d}x$ \int y \mathrm{d}x
$,$ ,
$:$ :
$;$ ;
$!$ !
$\int y, \mathrm{d}x$ \int y, \mathrm{d}x
$\dots$ \dots
$\ldots$ \ldots
$\cdots$ \cdots
$\vdots$ \vdots
$\ddots$ \ddots

$\stackrel{\bf{}}{\sim}$

Brackets etc

Symbol Script
$(a)$ (a)
$[a]$ [a]
${a}$ {a}
$\langle f \rangle$ \langle f \rangle
$\lfloor f \rfloor$ \lfloor f \rfloor
$\lceil f \rceil$ \lceil f \rceil
$\ulcorner f \urcorner$ \ulcorner f \urcorner

Aligning equations

use \begin{align*} … \end{align*}. Separate lines with \\ and use & to mark where things should line up.

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$\begin{align*}
a & = b \\
X &\sim {\sf Norm}(10, 3) \\
5 & \le 10
\end{align*}$

$\begin{align*} a & = b \ X &\sim {\sf Norm}(10, 3) \ 5 & \le 10 \end{align*}$