LaTeX Math Symbols Cheat Sheet

\alpha \quad \beta \quad \gamma \quad \delta

\epsilon \quad \varepsilon

\zeta \quad \eta \quad \theta \quad \vartheta

\iota \quad \kappa \quad \varkappa \quad \lambda \quad \mu

\nu \quad \xi \quad o \quad \pi \quad \varpi

\rho \quad \varrho \quad \sigma \quad \varsigma

\tau \quad \upsilon \quad \phi \quad \varphi

\chi \quad \psi \quad \omega

\Gamma \quad \Delta \quad \Theta \quad \Lambda

\Xi \quad \Pi \quad \Sigma \quad \Upsilon

\Phi \quad \Psi \quad \Omega

\varGamma \quad \varDelta \quad \varTheta

\varLambda \quad \varXi \quad \varPi

\varSigma \quad \varUpsilon \quad \varPhi

\varPsi \quad \varOmega

\aleph \quad \beth \quad \gimel \quad \daleth

\imath \quad \jmath

\hbar \quad \hslash \quad \ell \quad \wp

\Re \quad \Im

\partial \quad \nabla \quad \infty

\emptyset \quad \varnothing

\sum_{i=1}^{n} x_i

\prod_{i=1}^{n} x_i

\coprod_{i=1}^{n} A_i

\int_{a}^{b} f(x)\,dx

\iint_{D} f\,dA

\iiint_{V} f\,dV

\oint_{C} \mathbf{F} \cdot d\mathbf{r}

\lim_{x \to \infty} f(x)

\liminf_{n \to \infty} a_n \quad \limsup_{n \to \infty} a_n

\sup_{x \in S} f(x) \quad \inf_{x \in S} f(x)

\max \quad \min \quad \arg\max \quad \arg\min

\bigcup_{i \in I} A_i \quad \bigcap_{i \in I} A_i

\bigvee_{i} p_i \quad \bigwedge_{i} p_i

\bigoplus \quad \bigotimes \quad \bigodot

\biguplus \quad \bigsqcup

\pm \quad \mp \quad \times \quad \div

\cdot \quad \ast \quad \star \quad \circ \quad \bullet

\oplus \quad \ominus \quad \otimes \quad \oslash \quad \odot

\boxplus \quad \boxminus \quad \boxtimes \quad \boxdot

\cup \quad \cap \quad \uplus \quad \sqcup \quad \sqcap

\vee \quad \wedge \quad \veebar \quad \barwedge

\setminus \quad \smallsetminus \quad \wr

\dagger \quad \ddagger \quad \amalg

\ltimes \quad \rtimes \quad \bowtie

a \bmod b \quad a \pmod{b}

= \quad \neq \quad \equiv \quad \approx \quad \approxeq

\sim \quad \simeq \quad \cong \quad \propto \quad \asymp

< \quad > \quad \leq \quad \geq

\leqslant \quad \geqslant \quad \leqq \quad \geqq

\ll \quad \gg \quad \lll \quad \ggg

\prec \quad \succ \quad \preceq \quad \succeq

\precsim \quad \succsim \quad \precapprox \quad \succapprox

\parallel \quad \perp \quad \mid \quad \nmid

\vdash \quad \dashv \quad \models \quad \vDash \quad \Vdash

\smile \quad \frown \quad \smallsmile \quad \smallfrown

\doteq \quad \risingdotseq \quad \fallingdotseq

\circeq \quad \triangleq \quad \eqcirc \quad \bumpeq

\neq \quad \nless \quad \ngtr

\nleq \quad \ngeq \quad \nleqq \quad \ngeqq

\nleqslant \quad \ngeqslant

\nsim \quad \ncong

\nparallel \quad \nmid

\nsubseteq \quad \nsupseteq

\subsetneq \quad \supsetneq

\nprec \quad \nsucc \quad \npreceq \quad \nsucceq

\nvdash \quad \nvDash \quad \nVdash \quad \nVDash

\to \quad \rightarrow \quad \leftarrow \quad \leftrightarrow

\Rightarrow \quad \Leftarrow \quad \Leftrightarrow

\longrightarrow \quad \longleftarrow \quad \longleftrightarrow

\Longrightarrow \quad \Longleftarrow \quad \Longleftrightarrow

\mapsto \quad \longmapsto

\hookleftarrow \quad \hookrightarrow

\twoheadleftarrow \quad \twoheadrightarrow

\leftarrowtail \quad \rightarrowtail

\uparrow \quad \downarrow \quad \updownarrow

\Uparrow \quad \Downarrow \quad \Updownarrow

\nearrow \quad \searrow \quad \swarrow \quad \nwarrow

\rightleftarrows \quad \leftrightarrows \quad \rightrightarrows \quad \leftleftarrows

\upuparrows \quad \downdownarrows

\rightleftharpoons \quad \leftrightharpoons

\circlearrowleft \quad \circlearrowright

\curvearrowleft \quad \curvearrowright

\rightsquigarrow \quad \leftrightsquigarrow

\nrightarrow \quad \nleftarrow \quad \nleftrightarrow

\nRightarrow \quad \nLeftarrow \quad \nLeftrightarrow

\implies \quad \impliedby \quad \iff

\xleftarrow{abc} \quad \xrightarrow{abc}

\xLeftarrow{abc} \quad \xRightarrow{abc}

\xleftrightarrow{abc} \quad \xLeftrightarrow{abc}

\xhookleftarrow{abc} \quad \xhookrightarrow{abc}

\xtwoheadleftarrow{abc} \quad \xtwoheadrightarrow{abc}

\xmapsto{abc} \quad \xlongequal{abc}

\xrightarrow[under]{over}

\in \quad \notin \quad \ni

\subset \quad \subseteq \quad \subsetneq

\supset \quad \supseteq \quad \supsetneq

\Subset \quad \Supset

\sqsubset \quad \sqsupset \quad \sqsubseteq \quad \sqsupseteq

\cup \quad \cap \quad \setminus \quad \complement

\emptyset \quad \varnothing

\mathbb{N} \quad \mathbb{Z} \quad \mathbb{Q}

\mathbb{R} \quad \mathbb{C} \quad \mathbb{F}

\{ x \mid x > 0 \}

\forall \quad \exists \quad \nexists

\neg \quad \lnot \quad \land \quad \lor

\implies \quad \impliedby \quad \iff

\therefore \quad \because

\top \quad \bot \quad \models \quad \vdash \quad \dashv

\square \quad \blacksquare \quad \Box

p \Rightarrow q \quad p \Leftrightarrow q

\frac{d}{dx} f(x)

\frac{\partial f}{\partial x} \quad \frac{\partial^2 f}{\partial x^2}

\nabla f \quad \nabla \cdot \mathbf{F} \quad \nabla \times \mathbf{F}

\nabla^2 f \quad \Delta f

\int_{a}^{b} f(x)\,dx \quad \int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}

\iint_{D} f\,dA \quad \iiint_{V} f\,dV \quad \oint_{C} \mathbf{F} \cdot d\mathbf{r}

\lim_{x \to 0} \frac{\sin x}{x} = 1

\sum_{n=0}^{\infty} \frac{x^n}{n!} = e^x

f'(x) \quad f''(x) \quad f^{(n)}(x)

\dot{x} \quad \ddot{x}

\frac{a}{b}

\dfrac{a}{b} \quad \tfrac{a}{b}

\cfrac{a}{1 + \cfrac{1}{b}}

{a \over b} \quad {a \above 1pt b}

\sqrt{x} \quad \sqrt[n]{x} \quad \sqrt[3]{x+y}

x^{n} \quad x_{n} \quad x^{n}_{m} \quad x_{i,j}^{2k}

e^{i\pi} + 1 = 0

\binom{n}{k} \quad \dbinom{n}{k} \quad \tbinom{n}{k}

{n \choose k}

\sin x \quad \cos x \quad \tan x \quad \cot x

\sec x \quad \csc x

\arcsin x \quad \arccos x \quad \arctan x

\sinh x \quad \cosh x \quad \tanh x \quad \coth x

\log x \quad \ln x \quad \log_{10} x \quad \lg x

\exp x \quad \deg \quad \det \quad \dim

\gcd(a, b) \quad \hom(A, B) \quad \ker(f)

\Pr(X = x) \quad \arg(z)

\operatorname{sgn}(x) \quad \operatorname{Var}(X)

\hat{x} \quad \check{x} \quad \tilde{x} \quad \bar{x}

\acute{x} \quad \grave{x} \quad \breve{x}

\dot{x} \quad \ddot{x} \quad \dddot{x} \quad \ddddot{x}

\vec{x} \quad \vec{F}

\widehat{xyz} \quad \widetilde{xyz}

\overline{x+y} \quad \underline{x+y}

\overrightarrow{AB} \quad \overleftarrow{AB} \quad \overleftrightarrow{AB}

x' \quad x'' \quad x^{\prime} \quad x^{\prime\prime}

\overbrace{a + b + c}^{\text{sum}}

\underbrace{a + b + c}_{\text{sum}}

\cancel{5} \quad \bcancel{5} \quad \xcancel{ABC}

\cancelto{0}{x \to \infty}

\boxed{E = mc^2}

\stackrel{!}{=} \quad \overset{!}{=} \quad \underset{*}{=}

{a \atop b}

\not = \quad \not <

\left( \frac{a}{b} \right)

\left[ x \right] \quad \left\{ x \right\}

\langle x, y \rangle

\lfloor x \rfloor \quad \lceil x \rceil

\left| x \right| \quad \left\| x \right\|

\lvert x \rvert \quad \lVert x \rVert

\bigl( \Bigl( \biggl( \Biggl(

\bigr) \Bigr) \biggr) \Biggr)

\left. \frac{dy}{dx} \right|_{x=0}

\backslash \quad |

\begin{matrix} a & b \\ c & d \end{matrix}

\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{smallmatrix} a & b \\ c & d \end{smallmatrix}

\begin{array}{c|cc} a & b & c \\ \hline d & e & f \end{array}

\begin{cases} x, & x \geq 0 \\ -x, & x < 0 \end{cases}

\begin{aligned} y &= mx + b \\ &= 2x + 1 \end{aligned}

\begin{gathered} a = b \\ c = d + e \end{gathered}

\begin{alignedat}{2} 10 & x + & 3 & y = 2 \\ 3 & x + & 13 & y = 4 \end{alignedat}

\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

A = \begin{pmatrix} a_{11} & \cdots & a_{1n} \\ \vdots & \ddots & \vdots \\ a_{m1} & \cdots & a_{mn} \end{pmatrix}

\dots \quad \cdots \quad \ldots \quad \vdots \quad \ddots

\angle \quad \measuredangle \quad \sphericalangle

\triangle \quad \triangledown \quad \blacktriangle \quad \blacktriangledown

\triangleleft \quad \triangleright \quad \blacktriangleleft \quad \blacktriangleright

\square \quad \blacksquare \quad \Box

\diamond \quad \Diamond \quad \lozenge \quad \blacklozenge

\star \quad \bigstar \quad \bullet \quad \circ

\heartsuit \quad \diamondsuit \quad \clubsuit \quad \spadesuit

\flat \quad \natural \quad \sharp

\dag \quad \ddag \quad \dagger \quad \ddagger

\S \quad \P \quad \copyright \quad \pounds

\checkmark \quad \maltese

\prime \quad \backprime \quad \surd

\% \quad \# \quad \& \quad \_ \quad \$

\colon \quad : \quad ; \quad ,

90^\circ \quad 45^\circ

\mathbf{abc} \quad \mathit{abc} \quad \mathrm{abc}

\mathsf{abc} \quad \mathtt{abc} \quad \mathcal{ABC}

\mathfrak{ABC} \quad \mathbb{ABC} \quad \boldsymbol{abc}

\text{normal text in math: } x + y

\displaystyle \sum_{i=1}^{n} \quad \textstyle \sum_{i=1}^{n}

\lim\limits_{x \to 0} \quad \lim\nolimits_{x \to 0}

\tiny AB \quad \small AB \quad \large AB \quad \Large AB

a\,b \quad a\:b \quad a\;b \quad a\quad b \quad a\qquad b