function
association of a single output to each input
class function
function defined on the set of conjugacy classes of a group
K-function
generalization of the hyperfactorial to complex numbers
Lerch zeta function
special mathematical function
self-mapping
function that maps a set into itself
Mathieu function
solutions to Mathieu's differential equations, which are second order linear differential equation
positive-definite function
bimodal function
wave function
mathematical description of the quantum state of a system; complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it
choice function
mathematical function f that is defined on some collection X of nonempty sets and assigns some element of each set S in that collection to S by f(S)
matrix function
function that maps matrices to matrices
utility function
economic concept
random field
Mathematical function
Hamiltonian
function used in optimal control theory
local parameter
algebraic concept
orientation
assignment of a direction to each edge of a graph
Perturbation function
mathematical function which relates the primal and dual problems
statistical distance
distance between two statistical objects - not necessarily a metric, includes divergences
transformation
function mapping a set to itself
potential gradient
local rate of change in potential with respect to displacement
projection
idempotent mapping of a mathematical set into its subset
double factorial
product of all the integers from 1 up to the integral input of the function that have the same parity as this input
odd function
function which has rotational symmetry with respect to the origin
autocorrelation function
mathematical tool used frequently in signal processing
open map
function between two topological spaces which maps open sets to open sets
extendable-output function
cryptographic function that can output an arbitrarily large number of random-looking bits
invariant
property of mathematical objects that remains unchanged for transformations applied to the objects
supremum
when it exists, the least element of a partially ordered set which is greater than or equal to all elements of a given subset
prime-counting function
function representing the number of primes less than or equal to a given number
Green's function
Green's functions
production function
physical output of a production process to physical inputs or factors of production
subharmonic function
function f such that, if f≤h on the boundary of a ball for any harmonic function h, then f≤h also inside the ball
wavelet
function for integral Fourier-like transform
functor
in category theory, a mapping between categories that preserves their structure (identity morphisms, composition of morphisms)
square root of a matrix
mathematical operation
almost periodic function
function that "converges" to periodicity
homogeneous function
function with multiplicative scaling behaviour
condition number
function K of the input x of a well-posed problem which describes how much its variation influences the variation of the output g(x)
computable function
function whose values can be computed by an algorithm
locally integrable function
function which is integrable on every compact subset of its domain of definition
Hurwitz zeta function
mathematics term
set function
function whose domain is a collection of sets