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LaTeX Math Cheat Sheet (DRAFT) by

Math in LaTeX reference

This is a draft cheat sheet. It is a work in progress and is not finished yet.

inline expression

\(<expression>\)
 
$<expression>$
 
\begin{math}
   <expression>
\end{math}
Writes <ex­pre­ssi­on> as part of a paragraph

Greek letters

\alpha
𝛼
 
\beta
𝛽
 
\gamma
\Gamma
𝛾
𝛤
 
\delta
\Delta
𝛿
𝛥
 
\epsilon
\varepsilon
ϵ
ε
 
\zeta
𝜁
 
\eta
𝜂
 
\theta
\vartheta
\Theta
𝜃
𝜗
𝛩
 
\iota
𝜄
 
\kappa
\varkappa
𝜅
𝜘
 
\lambda
\Lambda
𝜆
𝛬
 
\mu
𝜇
 
\nu
𝜈
 
\xi
\Xi
𝜉
𝛯
 
\pi
\varpi
\Pi
𝜋
𝜛
𝛱
 
\rho
\varrho
𝜌
𝜚
 
\sigma
\varsigma
\Sigma
𝜎
𝜍
𝛴
 
\tau
𝜏
 
\upsilon
\Upsilon
𝜐
𝛶
 
\phi
\varphi
\Phi
𝜙
𝜑
𝛷
 
\chi
𝜒
 
\psi
\Psi
𝜓
𝛹
 
\omega
𝜔
 
\digamma
𝟋

Variab­le-­sized symbols

\sum
\prod
\coprod
∑
∏
∐
 
\int
\oint
\iint
∫
∮
∬
 
\biguplus
\bigcap
\bigcup
⨄
⋂
⋃
 
\bigoplus
\bigotimes
\bigodot
⨁
⨂
⨀
 
\bigvee
\bigwedge
\bigsqcup
⋁
⋀
⨆
 

Display math

\[<expression>\]
 
\begin{displaymath}
   <expression>
\end{displaymath}
 
\begin{equation}
   <expression>
\end{equation}
Writes <ex­pre­ssi­on> centered on its own line

Math constructs

\frac{<N>}{<D>}
creates a fraction with numerator <N> and denomi­nator <D>
 
<f>'
<𝑓>′
`{{lang-tex}}\sqrt{n}
√n̅
 
\sqrt[m]{n}
ͫ√n̅
 
\overline{ac}
a̅c̅
 
\underline{ab}
a͟b
 
\widehat{ac}
a͡c (but like ^)
 
\widetilde{ac}
a͠c
 
\overrightarrow{ac}
\overleftarrow{ac}
a͞c͐
᷾a͞c
 
\overbrace{ac}
\underbrace{ac}}
a᷉ˆc᷈ (like '{')
a̫˯c̫ (but like'}')

Delimiters

| 
\vert
|
 
\| 
\Vert
‖
 
\{ 
\}
{
}
 
\langle
\rangle
⟨
⟩
 
\lfloor
\rfloor
⌊
⌋
 
\lceil
\rceil
⌈
⌉
 
/
\backslash
/
\
 
\Uparrow
\uparrow
\Downarrow
\downarrow
⇑
↑
⇓
↓
 
\llcorner
\lrcorner
\ulcorner
\urcorner
⌞
⌟
⌜
⌝
use the pair 
\lefts1
and 
\rights2
to match height of delimiters s1 and s2 to the height of their contents, e.g.,
\left\{ expr \right\{

Standard function names

\sin
\cos
tan
sin
cos
tan
 
\arcsin
\arccos
\arctan
arcsin
arccos
arctan
 
\sec
\csc
\cot
sec
csc
cot

Miscel­aneous symbols

\infty
∞
 
\nabla
∇
 
\forall 
\exists
\nexists
∀
∃
∄
 
\partial
∂
 
\angle
\measuredangle
\sphericalangle
∠
∡
∢
 
\vec{a}
\hat{a}
\bar{a}
\check{a}
\dot{a}
a̅˃
â
a̅
ǎ
ȧ
 
\hbar
\hslash
ħ
ℏ