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FUNCTION

Function

Topics referred to by the same term

Look up function or functionality in Wiktionary, the free dictionary. Function or functionality may refer to: Function key, a type of key on computer keyboards

Function

Function (mathematics)

Association of one output to each input

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the

Function (mathematics)

Function_(mathematics)

Successor function

Elementary operation on a natural number

mathematics, the successor function or successor operation sends a natural number to the next one. The successor function is denoted by S {\displaystyle

Successor function

Successor_function

Hash function

Mapping arbitrary data to fixed-size values

A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support

Hash function

Hash_function

Bessel function

Family of solutions to related differential equations

Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena

Bessel function

Bessel_function

Recursive function

Topics referred to by the same term

function may refer to: Recursive function (programming), a function which references itself General recursive function, a computable partial function

Recursive function

Recursive_function

Periodic function

Function with a repeating pattern

A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves

Periodic function

Periodic_function

Sublinear function

Type of function in linear algebra

sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm, on a vector space is a real-valued function with

Sublinear function

Sublinear_function

Constructible function

Concept in complexity theory

In complexity theory, a time-constructible function is a function f from natural numbers to natural numbers with the property that f(n) can be constructed

Constructible function

Constructible_function

Weight function

Construct related to weighted sums and averages

A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result

Weight function

Weight_function

Softmax function

Smooth approximation of one-hot arg max

The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution

Softmax function

Softmax_function

Sexual function

Sexual health concept

Sexual function is how the body reacts in different stages of the sexual response cycle. It is defined as the ability of an individual to react sexually

Sexual function

Sexual_function

Semicomputable function

In computability theory, a semicomputable function is a partial function f : Q → R {\displaystyle f:\mathbb {Q} \rightarrow \mathbb {R} } that can be approximated

Semicomputable function

Semicomputable_function

Function problem

Type of computational problem

In computational complexity theory, a function problem is a computational problem where a single output is expected for every input, but the output is

Function problem

Function_problem

Class function

fields of group theory and representation theory of groups, a class function is a function on a group G that is constant on the conjugacy classes of G. In

Class function

Class_function

Function point

Unit of measurement

The function point is a "unit of measurement" to express the amount of business functionality an information system (as a product) provides to a user.

Function point

Function_point

Activation function

Artificial neural network node function

In artificial neural networks, the activation function of a node is a function that calculates the output of the node based on its individual inputs and

Activation function

Activation_function

Characteristic function

Index of articles associated with the same name

"characteristic function" may refer to: The indicator function of a subset Characteristic function (probability theory) The characteristic function of a cooperative

Characteristic function

Characteristic_function

Author function

The author function is the author as a function of discourse. The term was developed by Michel Foucault in his 1969 essay "What Is an Author?" where he

Author function

Author_function

Harmonic function

Functions in mathematics

the theory of stochastic processes, a harmonic function is a twice continuously differentiable function ⁠ f : U → R {\displaystyle f:U\to \mathbb {R} }

Harmonic function

Harmonic_function

Gaussian function

Mathematical function

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}

Gaussian function

Gaussian_function

Gimel function

Theorem in axiomatic set theory

denotes the cofinality function; the gimel function is used for studying the continuum function and the cardinal exponentiation function. The symbol ℷ {\displaystyle

Gimel function

Gimel_function

Sigmoid function

Mathematical function having a characteristic S-shaped curve or sigmoid curve

sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the

Sigmoid function

Sigmoid_function

Function as a service

Category of cloud computing services

Function as a service is a "platform-level cloud capability" that enables its users "to build and manage microservices applications with low initial investment

Function as a service

Function_as_a_service

Trigonometric functions

Functions of an angle

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of

Trigonometric functions

Trigonometric_functions

Lyapunov function

Concept in the analysis of dynamical systems

ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of

Lyapunov function

Lyapunov_function

Cubic function

Polynomial function of degree 3

cubic function is a function of the form f ( x ) = a x 3 + b x 2 + c x + d , {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d,} that is, a polynomial function of degree

Cubic function

Cubic_function

Pure function

Program function without side effects

In computer programming, a pure function is a function that has the following properties: the function return values are identical for identical arguments

Pure function

Pure_function

Thomae's function

Function that is discontinuous at rationals and continuous at irrationals

Thomae's function is a real-valued function of a real variable that can be defined as: f ( x ) = { 1 q if x = p q ( x is rational), with p ∈ Z and

Thomae's function

Thomae's_function

Quantile function

Statistical function that defines the quantiles of a probability distribution

probability distribution's quantile function is the inverse of its cumulative distribution function. That is, the quantile function of a distribution D {\displaystyle

Quantile function

Quantile_function

Dirac delta function

Generalized function whose value is zero everywhere except at zero

Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real

Dirac delta function

Dirac_delta_function

Propositional function

Expression in propositional calculus

In propositional calculus, a propositional function or a predicate is a sentence expressed in a way that would assume the value of true or false, except

Propositional function

Propositional_function

Function object

Programming construct

usually with the same syntax (a function parameter that can also be a function). In some languages, particularly C++, function objects are often called functors

Function object

Function_object

Wave function

Mathematical description of quantum state

In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common

Wave function

Wave_function

Anonymous function

Function definition that is not bound to an identifier

anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often

Anonymous function

Anonymous_function

Transition function

Topics referred to by the same term

a transition function may refer to: a transition map between two charts of an atlas of a manifold or other topological space the function that defines

Transition function

Transition_function

Logistic function

S-shaped curve

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac

Logistic function

Logistic_function

Divisor function

Arithmetic function related to the divisors of an integer

theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number

Divisor function

Divisor_function

Invex function

In vector calculus, an invex function is a differentiable function f {\displaystyle f} from R n {\displaystyle \mathbb {R} ^{n}} to R {\displaystyle \mathbb

Invex function

Invex_function

Analytic function

Type of function in mathematics

an analytic function is a function that is locally represented by a convergent power series. More precisely, a real or complex function is analytic at

Analytic function

Analytic_function

Monotonic function

Order-preserving mathematical function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept

Monotonic function

Monotonic_function

Lambert W function

Multivalued function in mathematics

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse

Lambert W function

Lambert_W_function

Patterson function

The Patterson function is used to solve the phase problem in X-ray crystallography. It was introduced in 1935 by Arthur Lindo Patterson while he was a

Patterson function

Patterson_function

Quadratic function

Polynomial function of degree two

In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c

Quadratic function

Quadratic_function

Holomorphic function

Complex-differentiable (mathematical) function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood

Holomorphic function

Holomorphic_function

Differentiable function

Mathematical function whose derivative exists

or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable

Differentiable function

Differentiable_function

Gamma function

Extension of the factorial function

The gamma function then is defined in the complex plane as the analytic continuation of this integral function: it is a meromorphic function which is holomorphic

Gamma function

Gamma_function

Weierstrass function

Function that is continuous everywhere but differentiable nowhere

mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere

Weierstrass function

Weierstrass_function

Sinc function

Special mathematical function defined as sin(x)/x

In mathematics, physics and engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ⁡ ( x ) = sin ⁡ x x . {\displaystyle

Sinc function

Sinc_function

Convex function

Real function with secant line between points above the graph itself

function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function

Convex function

Convex_function

Quartic function

Polynomial function of degree 4

In algebra, a quartic function is a function of the form f ( x ) = a x 4 + b x 3 + c x 2 + d x + e , {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} where

Quartic function

Quartic_function

Univalent function

Mathematical concept

analysis, a holomorphic function on an open subset of the complex plane is called univalent if it is injective. The function f : z ↦ 2 z + z 2 {\displaystyle

Univalent function

Univalent_function

Iterated function

Result of repeatedly applying a mathematical function

In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly

Iterated function

Iterated_function

Limit of a function

Point to which functions converge in analysis

mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which

Limit of a function

Limit_of_a_function

Domain of a function

Set of all things that may be the input of a mathematical function

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname

Domain of a function

Domain_of_a_function

Likelihood function

Function related to statistics and probability theory

A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability

Likelihood function

Likelihood_function

Continuous function

Mathematical function with no sudden changes

a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies

Continuous function

Continuous_function

Hypergeometric function

Function defined by a hypergeometric series

hypergeometric function 2F1(a, b; c; z) is a special function represented by the hypergeometric series, that includes many other special functions as specific

Hypergeometric function

Hypergeometric_function

Function key

Key on a computer or terminal keyboard

A function key is a key on a computer or terminal keyboard that can be programmed to cause the operating system or an application program to perform certain

Function key

Function_key

Measurable function

Kind of mathematical function

In mathematics, and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves

Measurable function

Measurable_function

Green's function

Method of solution to differential equations

In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with

Green's function

Green's_function

Partition function

Topics referred to by the same term

function may refer to: Partition function (statistical mechanics), a function used to derive thermodynamic properties Rotational partition function,

Partition function

Partition_function

Cumulative distribution function

Probability that random variable X is less than or equal to x

cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,

Cumulative distribution function

Cumulative_distribution_function

Meromorphic function

Class of mathematical function

of complex analysis, a meromorphic function on an open subset D {\displaystyle D} of the complex plane is a function that is holomorphic on all of D {\displaystyle

Meromorphic function

Meromorphic_function

Piecewise function

Function defined by multiple sub-functions

mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned

Piecewise function

Piecewise_function

Baire function

In mathematics, Baire functions are functions obtained from continuous functions by transfinite iteration of the operation of forming pointwise limits

Baire function

Baire_function

Rectangular function

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

The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function, gate function, unit pulse, or the normalized

Rectangular function

Rectangular_function

Variadic function

Function with variable number of arguments

variadic function is a function of indefinite arity, i.e., one which accepts a variable number of arguments. Support for variadic functions differs widely

Variadic function

Variadic_function

Window function

Function used in signal processing

processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside

Window function

Window_function

Error function

Sigmoid shape special function

mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ⁡ ( z ) = 2

Error function

Error_function

Feigenbaum function

Concept in dynamical systems

study of dynamical systems the term Feigenbaum function has been used to describe two different functions introduced by the physicist Mitchell Feigenbaum:

Feigenbaum function

Feigenbaum_function

Eta function

Topics referred to by the same term

In mathematics, eta function may refer to: The Dirichlet eta function η(s), a Dirichlet series The Dedekind eta function η(τ), a modular form The Weierstrass

Eta function

Eta_function

Visuospatial function

Cognitive processes needed to analyze spatial structure and relations

In cognitive psychology, visuospatial function refers to cognitive processes necessary to "identify, integrate, and analyze space and visual form, details

Visuospatial function

Visuospatial_function

Score function

Topics referred to by the same term

The term score function may refer to: Scoring rule, in decision theory, measures the accuracy of probabilistic predictions Score (statistics), the derivative

Score function

Score_function

Digamma function

Mathematical function

In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln ⁡ Γ ( z ) = Γ ′ ( z ) Γ ( z )

Digamma function

Digamma_function

Cantor function

Continuous function that is not absolutely continuous

In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in

Cantor function

Cantor_function

Concave function

Negative of a convex function

In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to

Concave function

Concave_function

Direct function

Alternate way to define a function in APL

A direct function (dfn, pronounced "dee fun") is an alternative way to define a function and operator (a higher-order function) in the programming language

Direct function

Direct_function

Subharmonic function

Class of mathematical functions

In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex

Subharmonic function

Subharmonic_function

Gompertz function

Asymmetric sigmoid function

or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes

Gompertz function

Gompertz_function

Function composition

Operation on mathematical functions

two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘

Function composition

Function_composition

Free function

Topics referred to by the same term

Free function may refer to an uninterpreted function in mathematics a non-member function in the C++ programming language This disambiguation page lists

Free function

Free_function

Dimension function

dimension function (also known as a gauge function) is a tool in the study of fractals and other subsets of metric spaces. Dimension functions are a generalisation

Dimension function

Dimension_function

Discrepancy function

In structural equation modeling, a discrepancy function is a mathematical function which describes how closely a structural model conforms to observed

Discrepancy function

Discrepancy_function

Ursell function

In statistical mechanics, an Ursell function or connected correlation function, is a cumulant of a random variable. It can often be obtained by summing

Ursell function

Ursell_function

Lambda function

Topics referred to by the same term

Look up lambda function in Wiktionary, the free dictionary. Lambda function may refer to: Dirichlet lambda function, λ(s) = (1 – 2−s)ζ(s) where ζ is the

Lambda function

Lambda_function

Bodily function

Topics referred to by the same term

Bodily functions can refer to one of the following: The functions (i.e. processes) of human or animal bodies, called "systems" in physiology. A euphemism

Bodily function

Bodily_function

Transmission function

Topics referred to by the same term

function can refer to transfer function propagation constant This disambiguation page lists articles associated with the title Transmission function.

Transmission function

Transmission_function

Transfer function

Function specifying the behavior of a component in an electronic or control system

a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models

Transfer function

Transfer_function

Generating function

Formal power series

generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often

Generating function

Generating_function

Theta function

Special functions of several complex variables

mathematics, theta functions are special functions of several complex variables. Fundamentally, they are a family of continuous functions which encode the

Theta function

Theta_function

Function representation

Function Representation (FRep or F-Rep) is used in solid modeling, volume modeling and computer graphics. FRep was introduced in "Function representation

Function representation

Function_representation

State function

Function describing equilibrium states of a system

thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a function relating several state variables

State function

State_function

Function Health

American health technology company

Function Health, often stylized as simply Function, is an American company and platform headquartered in Austin, Texas. The venture capital-backed company

Function Health

Function_Health

Lommel function

hypergeometric function. Anger function Lommel polynomial Struve function Weber function Watson's "Treatise on the Theory of Bessel functions" (1966), Section

Lommel function

Lommel_function

Zero of a function

Point where function's value is zero

sometimes called a root) of a real-, complex-, or generally vector-valued function f {\displaystyle f} , is a member x {\displaystyle x} of the domain of

Zero of a function

Zero_of_a_function

Function theory

Topics referred to by the same term

Function theory may refer to: Theory of functions of a real variable, the traditional name of real analysis, a branch of mathematical analysis dealing

Function theory

Function_theory

Pairing function

Function uniquely mapping two numbers into a single number

mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number. Any pairing function can be used in set

Pairing function

Pairing_function

Sentence function

Intended purpose of spoken speech

In linguistics, a sentence function refers to a speaker's purpose in uttering a specific sentence, clause, or phrase. Whether a listener is present or

Sentence function

Sentence_function

Ξ function

Index of articles associated with the same name

mathematics, the Ξ function (named for the Greek letter Ξ or Xi) may refer to: Riemann Xi function, a variant of the Riemann zeta function with a simpler

Ξ function

Ξ_function

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