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Functions

Specific functions

Distance from zero to a number

Additive function

Function that can be written as a sum over prime factors

Algebraic function

Function that can be defined as the root of a polynomial equation

Analytic function

Function locally given by a convergent power series

Arithmetic function

Function whose domain is the positive integers

Bessel function

Families of solutions to related differential equations

Bijection, injection and surjection

Properties of mathematical functions

Bijection, injection and surjection

Properties of mathematical functions

Binary logarithm

Mathematical function

Bounded function

Mathematical function

Common logarithm

Mathematical function

Complex logarithm

Logarithm of a complex number

Constant function

Type of mathematical function

Critical point (mathematics)

In calculus, the points of an equation where the derivative is zero

Number whose cube is a given number

Polynomial function of degree 3

Measure of the property of a curve or a surface to be "bended"

Dirac delta function

Generalized function whose value is zero everywhere except at zero

Domain of a function

Mathematical concept

Elementary function

Mathematical function

Elliptic function

Class of periodic mathematical functions

Entire function

Function that is holomorphic on the whole complex plane

Sigmoid shape special function

Euler's totient function

Gives the number of integers relatively prime to its input

Even and odd functions

Mathematical functions such that f(-x) = f(x) (even) or f(-x) = -f(x) (odd)

Exponential function

Class of specific mathematical functions

Exponential growth

Growth of quantities at rate proportional to the current amount

Exponential integral

Special function defined by an integral

Mathematical operation

Product of all integers from 1 to a given integer

Fixed point (mathematics)

Point preserved by an endomorphism

Floor and ceiling functions

Mathematical functions rounding a number to the two closest integers

Function (mathematics)

Association of one output to each input

Function composition

Operation on mathematical functions

Function of a real variable

Mathematical function

Function of several real variables

Mathematical function

Extension of the factorial function

Gaussian function

Mathematical function

Graph of a function

Representation of a function as the set of pairs (x, f(x))

Heaviside step function

Indicator function of positive numbers

Hyperbolic functions

Mathematical functions for hyperbolas similar to trigonometric functions for circles

Identity function

In mathematics, a function that always returns the same value that was used as its argument

Implicit function

Mathematical function defined by an equation relating the variable(s) and the value

Inflection point

Point where the curvature of a curve changes sign

Injective function

Function that preserves distinctness

Inverse function

Mathematical concept

Inverse hyperbolic functions

Mathematical functions

Inverse trigonometric functions

Inverse functions of sin, cos, tan, etc.

Knuth's up-arrow notation

Method of notation of very large integers

Kronecker delta

Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise

Lambert W function

Multivalued function in mathematics

Limit of a function

Point to which functions converge in topology

Linear function (calculus)

Polynomial function of degree at most one

Mathematical function, inverse of an exponential function

Maximum and minimum

Largest and smallest value taken by a function takes at a given point

Möbius function

Multiplicative function in number theory

Multiplicative function

Function equal to the product of its values on coprime factors

Multivalued function

Generalization of a function that may produce several outputs for each input

Natural logarithm

Logarithm to the base of the mathematical constant e

Operation that takes a proposition p to another proposition "not p", written ¬p, which is interpreted intuitively as being true when p is false, and false when p is true; unary (single-argument) logical connective

Arithmetic operation

Parametric equation

Representation of a curve by a function of a parameter

Partial function

Function whose actual domain of definition may be smaller than its apparent domain

Periodic function

Function that repeats its values at regular intervals or periods

Piecewise function

Function which is defined by multiple sub-functions each over its own interval

Prime-counting function

Function representing the number of primes less than or equal to a given number

Quadratic function

Polynomial function of degree two

Range of a function

Subset of a function's codomain

Rational function

Ratio of polynomial functions

Real-valued function

Mathematical function that takes real values

Rectangular function

Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way

Reflection (mathematics)

Mapping from a Euclidean space to itself

Riemann zeta function

Analytic function in mathematics

Rotation (mathematics)

Concept originating in geometry; motion of a certain space that preserves at least one point

Rocky point on the north coast of Heard Island in the Antarctic

Scaling (geometry)

Geometric transformation

Mathematical function that extracts the sign of a real number or complex number

Sine and cosine

Trigonometric functions of an angle

Square (algebra)

Result of multiplying a number, or other expression, by itself

Number whose square is a given number

Stationary point

Point on a graph where all derivatives or partial derivatives are zero

Linear combination of indicator functions of real intervals

Stirling's approximation

Approximation for factorials

Surjective function

Mathematical function such that every output has at least one input

Trigonometric functions

Functions of an angle

Vector-valued function

Function valued in a vector space; typically a real or complex one

Weierstrass function

Function that is continuous everywhere but differentiable nowhere

Zero of a function

Element of the domain where function's value is zero