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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