# Math Symbols Reference Chart

Below you'll find a list of all mathematical symbols together with their meaning and examples.

## Basic Math Symbols

SymbolNameExample / Definition
equals sign
not equal sign
approximately equal
strict inequality
strict inequality
inequality
inequality
parentheses
brackets
plus
minus
plus - minus
minus - plus
times
asterisk
obelus
slash
vinculum
modulo
interpunct / dot product
power
caret
cube root
fourth root
percent
per-mille
per-million
per-billion
per-trillion

## Geometry Math Symbols

SymbolNameExample / Definition
angle
measured angle
spherical angle
right angle
degree
degree
prime
double prime
line
line segment
ray
arc
perpendicular
parallel
congruent to
similarity
triangle
distance
pi constant

## Algebra Math Symbols

SymbolNameExample / Definition
x variable
Equivalence
Equal by definition
Equal by definition
Approximately equal
Approximately equal
Proportional to
Lemniscate
Much less-than
Much greater-than
parentheses
brackets
braces
delta
discriminant
sigma
sigma
floor brackets
ceiling brackets
factorial
absolute value
function of x
functional composition
open interval
closed interval
capital pi
Euler's number
Euler's constant / Euler-Mascheroni constant
golden ratio
pi constant

## Linear Algebra Math Symbols

SymbolNameExample / Definition
dot
multiplication / times
tensor product
inner product
parentheses
brackets
determinant
determinant
double vertical bars
transpose
Hermitian matrix
Hermitian matrix
inverse matrix
matrix rank
dimension

## Statistics & Probability Math Symbols

SymbolNameExample / Definition
probability function
probability of intersection of events
probability of union of events
conditional probability
probability density function
cumulative distribution function
population mean (mu)
expectation value
considitional expectation
variance
variance
standard deviation
standard deviation
median
covariance
correlation
pearson correlation
summation
double summation
mode
mid-range
sample median
first quartile
second quartile
third quartile
sample mean
sample variance
sample standard deviation
standard score
distribution of X
normal distribution
uniform distribution
exponential distribution
chi-square definition
F-distribution
binomial distribution
Poisson distribution
geometric distribution
hypergeometric distribution
bernoulli distributions

## Combinatorics Math Symbols

SymbolNameExample / Definition
factorial
permutation
combination

## Set Theory Math Symbols

SymbolNameExample / Definition
set
intersection
union
subset
strict subset
not a subset
strict superset
superset
not superset
power set
power set
equality
complement
relative complement
relative complement
symmetric difference
symmetric difference
set membership
no set membership
ordered pair
cartesian product
cardinality
cardinality
vertical bar
aleph-null
aleph-one
empty set
universal set
all natural numbers including zero
all natural numbers excluding zero
set of all integers
set of all rational numbers
set of all real numbers
set of all complex numbers

## Logic Math Symbols

SymbolNameExample / Definition
and
circumflex / caret
and
plus
inverse circumflex / caret
vertical line
prime
bar
not
not
circled plus
tilde
implies
equivalent
equivalent
for all
there exists
therefore
because
Domain of discourse

## Calculus Math Symbols

SymbolNameExample / Definition
limit
epsilon
Euler's constant
derivative
second derivative
nth derivative
derivative
second derivative
nth derivative
time derivative
second time derivative
nth time derivative
derivative
second derivative
partial derivative
integral
double integral
triple integral
line integral / closed integral
closed surface integral
closed volume integral
closed interval
open interval
imaginary unit
complex conjugate
complex conjugate
real part of a complex number
imaginary part of a complex number
absolute value / magnitude of a complex number
argument of a complex number
nabla / del
vector
unit vector
convolution
Laplace transform
Fourier transform
delta function
lemniscate