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Visual Basic built-in functions
The Is functions (also known as data information functions, data inspection functions, or data-testing functions) are a set of functions in Microsoft's
Is_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
Hyperbolic analogues of trigonometric functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just
Hyperbolic_functions
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
Cognitive processes necessary for control of behavior
flexibility. Higher-order executive functions require the simultaneous use of multiple basic executive functions and include planning and fluid intelligence
Executive_functions
Association of one output to each input
is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying
Function_(mathematics)
Capabilities of soils
architecture and urban applications. Soil can perform many functions and these include functions related to the natural ecosystems, agricultural productivity
Soil_functions
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
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function to the power M4: Exponentiating a sigmoid function M5: Symmetric sigmoid functions derived from asymmetric ones M6: Sigmoid functions of the
Sigmoid_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
Equations describing elastic deformation
stress functions: The Prandtl stress function is a special case of the Morera stress functions, in which it is assumed that A=B=0 and C is a function of x
Stress_functions
Mathematical functions having established names and notations
applications. The term is defined by consensus, and thus lacks a general formal definition, but the list of mathematical functions contains functions that are commonly
Special_functions
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
functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions
List of mathematical functions
List_of_mathematical_functions
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
Complex-differentiable (mathematical) function
all holomorphic functions are complex analytic functions, and vice versa, is a major theorem in complex analysis. Holomorphic functions are also sometimes
Holomorphic_function
While the Kelvin functions are defined as the real and imaginary parts of Bessel functions with x taken to be real, the functions can be analytically
Kelvin_functions
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
Order-preserving mathematical function
monotonic functions are invertible because they are guaranteed to have a one-to-one mapping from their range to their domain. However, functions that are
Monotonic_function
Type of function
mathematics, orthogonal functions belong to a function space that is a vector space equipped with a bilinear form. When the function space has an interval
Orthogonal_functions
Artificial neural network node function
functions can be divided into three categories: ridge functions, radial functions and fold functions. An activation function f {\displaystyle f} is saturating
Activation_function
Function used in signal processing
applications, the window functions used are non-negative, smooth, "bell-shaped" curves. Rectangle, triangle, and other functions can also be used. A more
Window_function
Mathematical description of quantum state
principle of quantum mechanics, wave functions can be added together and multiplied by complex numbers to form new wave functions and form a Hilbert space. The
Wave_function
Method of solution to differential equations
Green's functions are not necessarily functions of a real variable but are generally understood in the sense of distributions. Green's functions are also
Green's_function
Type of function in mathematics
logarithm is analytic. Many special functions are analytic on a suitable domain: hypergeometric functions on suitable domains Bessel functions on suitable
Analytic_function
Mathematical functions
In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied
Lemniscate_elliptic_functions
C standard library header file
operations are a group of functions in the standard library of the C programming language implementing basic mathematical functions. Different C standards
C_mathematical_functions
Ratio of polynomial functions
fractions of the ring of the polynomial functions over K. A function f {\displaystyle f} is called a rational function if it can be written in the form f (
Rational_function
Category of cloud computing services
anti-pattern that can occur in serverless architectures when functions (e.g., AWS Lambda, Azure Functions) excessively invoke each other in fragmented chains,
Function_as_a_service
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
Mathematical functions
The hyperbolastic functions, also known as hyperbolastic growth models, are mathematical functions that are used in medical statistical modeling. These
Hyperbolastic_functions
Operation on mathematical functions
group is generated by these functions. The set of all bijective functions f: X → X (called permutations) forms a group with respect to function composition
Function_composition
Elementary operation on a natural number
hyperoperations. It is also one of the primitive functions used in the characterization of computability by recursive functions. Successor ordinal Successor
Successor_function
Family of mathematical functions
mathematics, an unfolding of a smooth real-valued function ƒ on a smooth manifold is a certain family of functions that includes ƒ. Let M {\displaystyle M} be
Unfolding_(functions)
Mathematical functions
mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common use:
Inverse_hyperbolic_functions
Mathematical relation consisting of a multi-variable function equal to zero
multivariable functions that are continuously differentiable. A common type of implicit function is an inverse function. Not all functions have a unique
Implicit_function
Functions in mathematics
terms of sines and cosines, functions which are thus referred to as "harmonics." Fourier analysis involves expanding functions on the unit circle in terms
Harmonic_function
Concept in mathematics
Walsh functions form a complete orthogonal set of functions that can be used to represent any discrete function—just like trigonometric functions can be
Walsh_function
Analytic function that does not satisfy a polynomial equation
This is in contrast to an algebraic function. The most familiar transcendental functions are the exponential, trigonometric, and hyperbolic functions, and
Transcendental_function
Class of mathematical functions
Intuitively, subharmonic functions are related to convex functions of one variable as follows. If the graph of a convex function and a line intersect at
Subharmonic_function
Set of all things that may be the input of a mathematical function
{\displaystyle \mathbb {C} ^{n}.} Sometimes such a domain is used as the domain of a function, although functions may be defined on more general sets. The two concepts
Domain_of_a_function
Sigmoid shape special function
error functions. libcerf, numeric C library for complex error functions, provides the complex functions cerf, cerfc, cerfcx and the real functions erfi
Error_function
Inverse functions of sin, cos, tan, etc.
trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the trigonometric functions, under
Inverse trigonometric functions
Inverse_trigonometric_functions
Index of lists with the same name
zeta function Other functions called zeta functions, but not analogous to the Riemann zeta function Jacobi zeta function Weierstrass zeta function Topics
List_of_zeta_functions
Totality of psychological phenomena
the number and capacity of mental functions increased with particular brain areas dedicated to specific mental functions. Individual human minds also develop
Mind
Function that is continuous everywhere but differentiable nowhere
results for better behaved classes of continuous functions do exist, for example the Lipschitz functions, whose set of non-differentiability points must
Weierstrass_function
Mathematical relation assigning a probability event to a cost
information theory, this loss function is known as Hamming distortion. In many applications, objective functions, including loss functions as a particular case
Loss_function
Mathematical concept
several standard functions and their inverses: Many functions given by algebraic formulas possess a formula for their inverse. This is because the inverse
Inverse_function
Nash functions are those functions needed in order to have an implicit function theorem in real algebraic geometry. Along with Nash functions one defines
Nash_function
is unisolvent on [−π, π] Unisolvent functions are used in linear inverse problems. When using "simple" functions to approximate an unknown function,
Unisolvent_functions
Set of functions between two fixed sets
mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited
Function_space
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
Class of periodic mathematical functions
.} So elliptic functions have two periods and are therefore doubly periodic functions. If f {\displaystyle f} is an elliptic function with periods ω 1
Elliptic_function
Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability properties of functions, singular integrals
Maximal_function
Program function without side effects
following examples of C++ functions are pure: floor, returning the floor of a number; max, returning the maximum of two values. the function f, defined as void
Pure_function
Mathematical function with no sudden changes
where arguments and values of functions are real numbers and complex numbers. The concept has been generalized to functions between metric spaces and between
Continuous_function
Theory of cryptography
codes, mask generation functions, stream ciphers, pseudo-random number generators, and authenticated encryption. A sponge function is built from three components:
Sponge_function
Solutions of Lamé's equation
corresponding calculations for Mathieu functions, and oblate spheroidal wave functions and prolate spheroidal wave functions). With the following boundary conditions
Lamé_function
Mathematical function
Basic examples of algebraic functions are polynomial functions, rational functions, the nth root function, and functions obtained from these by composition
Algebraic_function
Real function with secant line between points above the graph itself
examples of convex functions of a single variable include a linear function f ( x ) = c x {\displaystyle f(x)=cx} (where c {\displaystyle c} is a real number)
Convex_function
Construct related to weighted sums and averages
The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis
Weight_function
Thermodynamic quantity
path functions, state functions are independent of the path taken. Thermodynamic state variables are point functions, differing from path functions. For
Process_function
Function that is holomorphic on the whole complex plane
meromorphic function), then for entire functions there is a generalization of the factorization – the Weierstrass theorem on entire functions. Every entire
Entire_function
Mathematical function
{1}{2c^{2}}}} ) The Gaussian functions are thus those functions whose logarithm is a concave quadratic function. The parameter c is related to the full width
Gaussian_function
Mathematical functions related to Weierstrass's elliptic function
mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for
Weierstrass_functions
Type of mathematical function
functions are polynomial functions, rational functions, the trigonometric functions, the exponential and logarithm functions, the n-th root, and the inverse
Elementary_function
Physical function
functions are a complete set of orthogonal functions used in solid-state physics. They were introduced by Gregory Wannier in 1937. Wannier functions are
Wannier_function
Function related to statistics and probability theory
exponential family is one whose probability density function is of the form (for some functions, writing ⟨ − , − ⟩ {\textstyle \langle -,-\rangle } for
Likelihood_function
functions. They were introduced by René-Louis Baire in 1899. A Baire set is a set whose characteristic function is a Baire function. Baire functions of
Baire_function
Class of mathematical function
denominator. Intuitively, a meromorphic function is a ratio of two well-behaved (holomorphic) functions. Such a function will still be well-behaved, except
Meromorphic_function
Inheritable and overridable function or method for which dynamic dispatch is facilitated
Virtual functions are an important part of (runtime) polymorphism in object-oriented programming (OOP). They allow for the execution of target functions that
Virtual_function
algebraic combinatorics, a quasisymmetric function is any element in the ring of quasisymmetric functions which is in turn a subring of the formal power series
Quasisymmetric_function
and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in n indeterminates
Ring_of_symmetric_functions
Generalization of permutations
functions are a generalization of permutations studied in combinatorics, a branch of mathematics. A parking function of length n {\displaystyle n} is
Parking_function
Placeholder variables in programming
have been used to name entities such as variables, functions, and commands whose exact identity is unimportant and serve only to demonstrate a concept
Foobar
Point to which functions converge in analysis
occur with rational functions. By noting that |x − p| represents a distance, the definition of a limit can be extended to functions of more than one variable
Limit_of_a_function
Branch of mathematics
is more restrictive for functions of a complex variable than it is for functions of a real variable. Complex analysis studies holomorphic functions,
Calculus
Mathematical function on ordinals
In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced
Veblen_function
In mathematics Abel elliptic functions are a special kind of elliptic functions, that were established by the Norwegian mathematician Niels Henrik Abel
Abel_elliptic_functions
Mathematical function, denoted exp(x) or e^x
distinguishing it from some other functions that are also commonly called exponential functions. These functions include the functions of the form f ( x ) = b
Exponential_function
C localization functions are a group of functions in the C programming language implementing basic localization routines. The functions are used in multilingual
C_localization_functions
Quickly growing function
recursive functions are total and computable, but the Ackermann function illustrates that not all total computable functions are primitive recursive. It is essentially
Ackermann_function
Limiting a position to an area
maximum: return maximum return x This is equivalent to max(minimum, min(x, maximum)) for languages that support the functions min and max. One of the many uses
Clamp_(function)
Smooth approximation of one-hot arg max
linear discriminant analysis, the input to the function is the result of K distinct linear functions, and the predicted probability for the jth class
Softmax_function
Mathematical concept
analytic functions, unlike for complex analytic (that is, holomorphic) functions, these statements fail to hold. For example, consider the function f : (
Univalent_function
Branch of mathematics studying functions of a complex variable
functions of a complex variable, is the branch of mathematical analysis that investigates functions of a complex variable of complex numbers. It is helpful
Complex_analysis
Mathematical function that can be computed by a program
Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes
Computable_function
Function whose actual domain of definition may be smaller than its apparent domain
definition S is equal to the whole set X, the partial function is said to be total. Thus, total partial functions from X to Y coincide with functions from X
Partial_function
pedotransfer functions (PTF) are predictive functions of certain soil properties using data from soil surveys. The term pedotransfer function was coined
Pedotransfer_function
Mathematical function
Slepian functions are a class of spatio-spectrally concentrated functions that form an orthogonal basis for bandlimited or spacelimited spaces. That is, they
Slepian_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
Function that preserves distinctness
correspondence that refers to bijective functions, which are functions such that each element in the codomain is an image of exactly one element in the
Injective_function
Financial service code names
The Controlled Functions of the Financial Conduct Authority (FCA) are simplifying code names given to various functions within the financial services and
FCA_Controlled_Functions
Organ central to the nervous system
The hypothalamus is a collection of small nuclei, most of which are involved in basic biological functions. Some of these functions relate to arousal
Brain
Mathematical function relating circular and hyperbolic functions
{gd} \psi } . The Gudermannian function reveals a close relationship between the circular functions and hyperbolic functions. It was introduced in the 1760s
Gudermannian_function
Euclidean Wightman distributions
\mathbb {R} ^{d}} that are pairwise distinct. These functions are called the Schwinger functions (named after Julian Schwinger) and they are real-analytic
Schwinger_function
Integral expressing the amount of overlap of one function as it is shifted over another
analysis), convolution is a mathematical operation on two functions f {\displaystyle f} and g {\displaystyle g} that produces a third function f ∗ g {\displaystyle
Convolution
Element of a basis for a function space
of basis functions. In finite-dimensional vector spaces this representation is purely algebraic and involves only finitely many basis functions, whereas
Basis_function
Function returning one of only two values
switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the
Boolean_function
Representation on functions in computer engineering
engineering, and computer science, a function model or functional model is a structured representation of the functions (activities, actions, processes, operations)
Function_model
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