All Mathematical Symbols Name List

Symbol	Symbol Name		Symbol	Symbol Name
=	equals sign		|	perpendicular
≠	not equal sign		||	parallel
>	strict inequality		≅	congruent to
<	strict inequality		~	similarity
≥	inequality		Δ	triangle
≤	inequality		|x-y|	distance
( )	parentheses		π	pi constant

[ ]	brackets		rad	radians
+	plus sign		grad	grads
−	minus sign		x	x variable
±	plus - minus		≡	equivalence
∓	minus - plus		≜	equal by definition
*	asterisk		:=	equal by definition
×	times sign		~	approximately equal
∙	multiplication dot		≈	approximately equal
÷	division sign / obelus		∝	proportional to
/	division slash		∞	lemniscate
–	horizontal line		≪	much less than
Mod	modulo		≫	much greater than
.	period		( )	parentheses
ab	power		[ ]	brackets
a^b	caret		{ }	braces
√a	square root		x!	exclamation mark
3√a	cube root		| x |	single vertical bar
4√a	fourth root		f (x)	function of x
n√a	n-th root (radical)		(f ∘g)	function composition
%	percent		(a,b)	open interval
‰	per-mille		[a,b]	closed interval
ppm	per-million		∆	delta
ppb	per-billion		∆	discriminant
ppt	per-trillion		∑	sigma
∠	angle		∑∑	sigma
∟	right angle		∏	capital pi
º	degree		E	e constant / Euler's number
´	arcminute		Γ	Euler-Mascheroni  constant
´´	arcsecond		Φ	golden ratio
AB	line segment		Π	pi constant
∙	dot		Q2	median / second quartile
×	cross		Q3	upper / third quartile
A⊗B	tensor product		X	sample mean
[ ]	brackets		S 2	sample variance
( )	parentheses		S	sample standard deviation
| A |	determinant		zx	standard score
det(A)	determinant		X ~	distribution of X
|| x ||	double vertical bars		N(μ,σ2)	normal distribution
A T	transpose		U(a,b)	uniform distribution
A †	Hermitian matrix		exp(λ)	exponential distribution
A *	Hermitian matrix		gamma(c, λ)	gamma distribution
A -1	inverse matrix		Χ 2(k)	chi-square distribution
Rank(A)	matrix rank		F (k1, k2)	F distribution
dim(U)	dimension		Bin(n,p)	binomial distribution
P(A)	probability function		Poisson(λ)	Poisson distribution
P(A ∩ B)	probability of events intersection

Geom(p)

geometric distribution

P(A ∪ B)

probability of events union

HG(N,K,n)

hyper-geometric distribution

P(A | B)

conditional probability function

Bern(p)

Bernoulli distribution

F (x)

probability density function (pdf)

N!

Factorial

F(x)

Cumulative distribution function (cdf)

nPk

permutation

Μ

population mean

{ }

Set

E(X)

Expectation value

A ∩ B

intersection

E(X | Y)

conditional expectation

A ∪ B

union

var(X)

variance

A ⊆ B

subset

Σ2

variance

A ⊂ B

proper subset / strict subset

std(X)

standard deviation

A ⊄ B

not subset

σX

standard deviation

A ⊇ B

superset

median

A ⊃ B

proper superset / strict superset

cov(X,Y)

covariance

A ⊅ B

not superset

corr(X,Y)

correlation

2A

power set

ρX,Y

correlation

A = B

equality

∑

summation

Ac

complement

∑∑

double summation

A \ B

relative complement

Mo

mode

A - B

relative complement

MR

mid-range

A ∆ B

symmetric difference

Md

sample median

A ⊖ B

symmetric difference

Q1

lower / first quartile

a∈A

element of

x∉A

not element of

∰

closed volume integral

(a,b)

ordered pair

i

imaginary unit

A×B

cartesian product

Z*

complex conjugate

|A|

cardinality

z

complex conjugate

#A

cardinality

∇

nabla / del

Ø

empty set

x * y

convolution

·

and

δ

delta function

^

caret / circumflex

∞

lemniscate

&

ampersand

α

Alpha

+

plus

β

Beta

∨

reversed caret

γ

Gamma

|

vertical line

δ

Delta

x'

single quote

ε

Epsilon

x

bar

ζ

Zeta

¬

not

η

Eta

!

exclamation mark

θ

Theta

⊕

circled plus / oplus

ι

Iota

~

tilde

κ

Kappa

⇒

implies

λ

Lambda

⇔

equivalent

μ

Mu

↔

equivalent

ν

Nu

∀

for all

ξ

Xi

∃

there exists

ο

Omicron

∄

there does not exists

π

Pi

∴

therefore

ρ

Rho

∵

because / since

σ

Sigma

ε

epsilon

τ

Tau

e

e constant / Euler's number

υ

Upsilon

y '

derivative

φ

Phi

Y ''

second derivative

χ

Chi

Y(n)

nth derivative

ψ

Psi

Dx y

derivative

ω

Omega

Dx2 y

second derivative

∫

Integral

∭

triple integral

∬

double integral

∮

closed contour / line integral

∯

closed surface integral

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