**List of LaTeX mathematical symbols**

List of LaTeX mathematical symbols

https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols

All the predefined mathematical symbols from the TeX package are listed below. More symbols are available from extra packages.

Contents

Greek letters
Unary operators
Relation operators
Binary operators
Negated binary relations
Set and/or logic notation
Geometry
Delimiters
Arrows
Other symbols
Trigonometric functions
Notes
External links $~$

Greek letters

Nr	Symbol	LaTeX
01	$\Alpha$ and $\alpha$	\Alpha and \alpha
02	$\Beta$ and $\beta$	\Beta and \beta
03	$\Gamma$ and $\gamma$	\Gamma and \gamma
04	$\Delta$ and $\delta$	\Delta and \delta
05	$\Epsilon$ , $\epsilon$ and $\varepsilon$	\Epsilon, \epsilon and \varepsilon
06	$\Zeta$ and $\zeta$	\Zeta and \zeta
07	$\Eta$ and $\eta$	\Eta and \eta
08	$\Theta$ and $\theta$	\Theta and \theta
09	$\Iota$ and $\iota$	\Iota and \iota
10	$\Kappa$ , $\kappa$ and $\varkappa$	\Kappa, \kappa and \varkappa
11	$\Lambda$ and $\lambda$	\Lambda and \lambda
12	$\Mu$ and $\mu$	\Mu and \mu
13	$\Nu$ and $\nu$	\Nu and \nu
14	$\Xi$ and $\xi$	\Xi and \xi
15	$\Omicron$ and $\omicron$	\Omicron and \omicron
16	$\Pi$ , $\pi$ and $\varpi$	\Pi, \pi and \varpi
17	$\Rho$ , $\rho$ and $\varrho$	\Rho, \rho and \varrho
18	$\Sigma$ , $\sigma$ and $\varsigma$	\Sigma, \sigma and \varsigma
19	$\Tau$ and $\tau$	\Tau and \tau
20	$\Upsilon$ and $\upsilon$	\Upsilon and \upsilon
21	$\Phi$ , $\phi$ and $\varphi$	\Pho, \phi and \varphi
22	$\Chi$ and $\chi$	\Chi and \chi
23	$\Psi$ and $\psi$	\Psi and \psi
24	$\Omega$ and $\omega$	\Omega and \omega
$~$

Archaic Greek letters

Nr	Symbol	LaTeX
01	$\digamma$	\digamma
$~$

Unary operators

Nr	Symbol	LaTeX	Comment
01	$+$	+
02	$-$	-	negation
03	$!$	!	factorial
04	$\#$	#	primorial
05	$\neg$	\neg	not
$~$

Relation operators

Nr	Symbol	LaTeX	Comment
01	$<$	$<$	is less than
02	$>$	$>$	is greater than
03	$\nless$	\nless	is not less than
04	$\ngtr$	\ngtr	is not greater than
05	$\leq$	\leq	is less than or equal to
06	$\geq$	\geq	is greater than or equal to
07	$\leqslant$	\leqslant	is less than or equal to
08	$\geqslant$	\geqslant	is greater than or equal to
09	$\nleq$	\nleq	is neither less than nor equal to
10	$\ngeq$	\ngeq	is neither greater than nor equal to
11	$\nleqslant$	\nleqslant	is neither less than nor equal to
12	$\ngeqslant$	\ngeqslant	is neither greater than nor equal to
13	$\prec$	\prec	precedes
14	$\nprec$	\nprec	doesn't precede
15	$\preceq$	\preceq	precedes or equals
16	$\npreceq$	\npreceq	neither precedes nor equals
17	$\ll$	\ll	much less
18	$\gg$	\gg	much greater
19	$\lll$	\lll	much much less
20	$\ggg$	\ggg	much much greater
21	$\subset$	\subset	is a proper subset of
22	$\supset$	\supset	is a proper superset of
23	$\not \subset$	\not \subset	is not a proper subset of
24	$\not \supset$	\not \supset	is not a proper superset of
25	$\subseteq$	\subseteq	is a subset of
26	$\supseteq$	\supseteq	is a superset of
27	$\nsubseteq$	\nsubseteq	is not a subset of
28	$\nsupseteq$	\nsupseteq	is not a superset of
29	$\sqsubset$	\sqsubset	sqsubset
30	$\sqsupset$	\sqsupset	sqsupset
31	$\sqsubseteq$	\sqsubseteq	sqsubseteq
32	$\sqsupseteq$	\sqsupseteq	sqsupseteq
33	$\succ$	\succ	succeeds
34	$\nsucc$	\nsucc	doesn't succeed
35	$\succeq$	\succeq	succeeds or equal
36	$\nsucceq$	\nsucceq	neither succeeds nor equals
$~$

Relation operators 2

Nr	Symbol	LaTeX	Comment
01	$=$	=	is equal to
02	$\doteq$	\doteq	doteq
03	$\equiv$	\equiv	is equivalent to
04	$\approx$	\approx	is approximately
05	$\cong$	\cong	is congruent to
06	$\simeq$	\simeq	is similar or equal to
07	$\sim$	\sim	is similar to
08	$\propto$	\propto	is proportional to
09	$\neq$ or $\ne$ or \neq	\ne	is not equal to
$~$

Relation operators 3

Nr	Symbol	LaTeX	Comment
01	$\parallel$	\parallel	is parallel with
02	$\nparallel$	\nparallel	is not parallel with
03	$\asymp$	\asymp	is asymptotic to
04	$\bowtie$	\bowtie	bowtie
05	$\vdash$	\vdash	vdash
06	$\dashv$	\dashv	dashv
07	$\in$	\in	is member of
08	$\ni$	\ni	owns, has member
09	$\smile$	\smile	smile
10	$\frown$	\frown	frown
11	$\models$	\models	models
12	$\notin$	\notin	is not member of
13	$\perp$	\perp	is perpendicular with
14	$\mid$	\mid	divides
$~$

Binary operators

Nr	Symbol	LaTeX	Comment
01	$\pm$	\pm	plus or minus
02	$\cap$	\cap	set intersection
03	$\diamond$	\diamond	diamond
04	$\oplus$	\oplus	oplus
05	$\mp$	\mp	minus or plus
06	$\cup$	\cup	set union
07	$\bigtriangleup$	\bigtriangleup	bigtriangleup
08	$\ominus$	\ominus	ominus
09	$\times$	\times	multiplied by
10	$\uplus$	\uplus	multiset addition
11	$\bigtriangledown$	\bigtriangledown	bigtriangledown
12	$\otimes$	\otimes	otimes
13	$\div$	\div	divided by
14	$\sqcap$	\sqcap	sqcap
15	$\triangleleft$	\triangleleft	triangleleft
16	$\oslash$	\oslash	oslash
17	$\ast$	\ast	asterisk
18	$\sqcup$	\sqcup	sqcup
19	$\triangleright$	\triangleright	triangleright
20	$\odot$	\odot	odot
21	$\star$	\star	star
22	$\vee$	\vee	vee
23	$\bigcirc$	\bigcirc	bigcirc
24	$\circ$	\circ	circ
25	$\dagger$	\dagger	dagger
26	$\wedge$	\wedge	wedge
27	$\bullet$	\bullet	bullet
28	$\setminus$	\setminus	set difference
29	$\ddagger$	\ddagger	ddagger
30	$\cdot$	\cdot	cdot
31	$\wr$	\wr	wr
32	$\amalg$	\amalg	amalg
$~$

Set notation

Nr	Symbol	LaTeX	Comment
01	$\O$ or $\emptyset$ and $\varnothing$	\O or \emptyset and \varnothing	the empty set
02	$\mathbb N$	\mathbb N	set of natural numbers
03	$\mathbb Z$	\mathbb Z	set of integers
04	$\mathbb Q$	\mathbb Q	set of rational numbers
05	$\mathbb A$	\mathbb A	set of algebraic numbers
06	$\mathbb R$	\mathbb R	set of real numbers
07	$\mathbb C$	\mathbb C	set of complex numbers
08	$\mathbb H$	\mathbb H	set of quaternions
09	$\mathbb O$	\mathbb O	set of octonions
10	$\mathbb S$	\mathbb S	set of sedenions
11	$\in$	\in	is member of
12	$\notin$	\notin	is not member of
13	$\ni$	\ni	owns (has member)
14	$\subset$	\subset	is proper subset of
15	$\subseteq$	\subseteq	is subset of
16	$\supset$	\supset	is proper superset of
17	$\supseteq$	\supseteq	is superset of
18	$\cup$	\cup	set union
19	$\cap$	\cap	set intersection
20	$\setminus$	\setminus	set difference
$~$

Logic notation

Nr	Symbol	LaTeX	Comment
01	$\exists$	\exists	there exists at least one
02	$\exists!$	\exists!	there exists one and only one
03	$\nexists$	\nexists	there is no
04	$\forall$	\forall	for all
05	$\neg$	\neg	not (logical not)
06	$\lor$	\lor	or (logical or)
07	$\land$	\land	and (logical and)
08	$\Longrightarrow$ or $\implies$	\Longrightarrow or \implies	implies
09	$\Rightarrow$	\Rightarrow	(preferred for right implication)
10	$\Longleftarrow$	\Longleftarrow	is implied by (only if)
11	$\Leftarrow$	\Leftarrow	(preferred for left implication)
12	$\iff$	\iff	is equivalent to (if and only if, iff)
13	$\Leftrightarrow$	\Leftrightarrow	(preferred for equivalence)
14	$\top$	\top	top
15	$\bot$	\bot	bot
$~$

Delimiters and Brackets

Nr	Symbol	LaTeX	Comment
01	$\,$	`\,`	divides
02	$\|$	`\|`	divides unitarily, is parallel with
03	$/$	`/`	slash
04	$\backslash$	`\backslash`	backslash
05	$(\,$	`(\,`	left parenthesis
06	$)\,$	`)\,`	right parenthesis
07	$[\,$	`[\,`	left `[square]` bracket
08	$]\,$	`]\,`	right `[square]` bracket
09	$\{$	`\{`	left brace
10	$\}$	`\}`	right brace
11	$\langle$	`\langle`	left angle bracket
12	$\rangle$	`\rangle`	right angle bracket
13	$\lceil$	`\lceil`	ceiling (left)
14	$\rceil$	`\rceil`	ceiling (right)
15	$\lfloor$	`\lfloor`	floor (left)
16	$\rfloor$	`\rfloor`	floor (right)
17	$\ulcorner$	`\ulcorner`	upper left corner
18	$\urcorner$	`\urcorner`	upper right corner
19	$\llcorner$	`\llcorner`	lower left corner
20	$\lrcorner$	`\lrcorner`	lower right corner
$~$

Arrows

Nr	Symbol	LaTeX
01	$\rightarrow$	`\rightarrow` or `\to`
02	$\Rightarrow$	`\Rightarrow`
03	$\longrightarrow$	`\longrightarrow`
04	$\Longrightarrow$	`\Longrightarrow`
05	$\mapsto$	`\mapsto`
06	$\longmapsto$	`\longmapsto`
07	$\leftarrow$	`\leftarrow` or `\gets`
08	$\Leftarrow$	`\Leftarrow`
09	$\longleftarrow$	`\longleftarrow`
10	$\Longleftarrow$	`\Longleftarrow`
11	$\uparrow$	`\uparrow`
12	$\Uparrow$	`\Uparrow`
13	$\downarrow$	`\downarrow`
14	$\Downarrow$	`\Downarrow`
15	$\updownarrow$	`\updownarrow`
16	$\Updownarrow$	`\Updownarrow`
$~$

Other symbols

Nr	Symbol	LaTeX	Comment
01	$\partial$	\partial	partial derivative
02	$\imath$	\imath	imath
03	$\jmath$	\jmath	jmath
04	$\Re$	\Re	real part
05	$\Im$	\Im	imaginary part
06	$\nabla$	\nabla	nabla, del (vector calculus)
07	$\eth$	\eth	eth
08	$\Box$	\Box	Box
09	$\hbar$	\hbar	reduced Planck's constant
10	$\ell$	\ell	ell
11	$\wp$	\wp	Weierstrass powerset
12	$\infty$	\infty	infinity
$~$

Trigonometric functions

Circular functions

The prefix arc used for inverse circular trigonometric functions is the abbreviation for arcus.

Symbol	LaTeX	Comment
$\sin$	\sin	sine
$\arcsin$	\arcsin	arcsine
$\csc$	\csc	cosecant 1/sin x
$\operatorname{arccsc}$	\operatorname{arccsc}	arccosecant
$\cos$	\cos	cosine
$\arccos$	\arccos	arccosine
$\sec$	\sec	secant
$\operatorname{arcsec}$	\operatorname {arcsec}	arcsecant
$\tan$	\tan	tangent
$\arctan$	\arctan	arctangent
$\cot$	\cot	cotangent
$\operatorname{arccot}$	\operatorname {arccot}	arccotangent
$~$

Hyperbolic functions

The abbreviations arcsinh, arccosh, etc., are commonly used for inverse hyperbolic trigonometric functions (area hyperbolic functions), even though they are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.

$Symbol	LaTeX
$\sinh$	\sinh
$\operatorname{arsinh}$	\operatorname arsinh
$\operatorname{csch}$	\operatorname csch
$\operatorname{arcsch}$	\operatorname arcsch
$\cosh$	\cosh
$\operatorname{arcosh}$	\operatorname arcosh
$\operatorname{sech}$	\operatorname sech
$\operatorname{arsech}$	\operatorname arsech
$\tanh$	\tanh
$\operatorname{artanh}$	\operatorname artanh
$\coth$	\coth
$\operatorname{arcoth}$	\operatorname arcoth