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Programming language feature
is said to have first-class functions if it treats functions as first-class citizens. This means the language supports passing functions as arguments to
First-class_function
Concept in programming language design
passed as an argument, returned from a function, and assigned to a variable. The concept of first- and second-class objects was introduced by Christopher
First-class_citizen
Technique for creating lexically scoped first class functions
lexical closure or function closure, is a technique for implementing lexically scoped name binding in a language with first-class functions. Operationally
Closure (computer programming)
Closure_(computer_programming)
Function definition that is not bound to an identifier
languages with first-class functions, where they fulfil the same role for the function type as literals do for other data types. Anonymous functions originate
Anonymous_function
Topics referred to by the same term
programming First class (computing), a concept in data modeling First-class function First-class object, a concept in programming FirstClass, e-mail and
First_class
Software design pattern
be achieved by mechanisms such as the native function pointer, the first-class function, classes or class instances in object-oriented programming languages
Strategy_pattern
Function that takes one or more functions as an input or that outputs a function
procedure), returns a function as its result. All other functions are first-order functions. In mathematics higher-order functions are also termed operators
Higher-order_function
Currying Exponential object, category-theoretic equivalent First-class function Function space, set-theoretic equivalent Pierce, Benjamin C. (2002).
Function_type
Composite data type
such as System F-sub. Since type-theoretical records may contain first-class function-typed fields in addition to data, they can express many features
Record_(computer_science)
Programming construct
support first-class function objects and may even make significant use of them. Functional programming languages additionally support closures, i.e. first-class
Function_object
Object-oriented programming language feature
due to their complexity. Delegate (object-oriented programming) First-class function Shroff & Smith Shroff & Smith Shroff & Smith Susumu Nishimura (1998)
First-class_message
System with weakly-associated components
object). See First-class function for further insight into functions as objects, which qualifies as one form of first-class function. For example, in an
Loose_coupling
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
Degree of differentiability of a function or map
of a function describes the number of times it can be differentiated without producing discontinuities. The smoothness, or differentiability class, is
Smoothness
Set of rules defining correctly structured programs
incorporates built-in data types and structures, control flow mechanisms, first-class functions, and modules for better code reusability and organization. Python
Python_syntax_and_semantics
Programming language implementation problem
the funarg problem (function argument problem) is the difficulty in implementing first-class functions (functions as first-class objects) in programming
Funarg_problem
Mathematical-logic system
function pointers. However, function pointers are an insufficient condition for functions to be first class datatypes, because a function is a first class
Lambda_calculus
Programming paradigm entirely based on functions
of functional programming, such as first-class functions and higher-order functions. However, a first-class function need not be purely functional, as
Purely_functional_programming
Programming mechanism
later. Such a function can always be defined but languages with first-class functions make it easier. The ability to easily compose functions encourages
Function composition (computer science)
Function_composition_(computer_science)
Behavioral design pattern
of first-class functions and higher-order functions in functional programming languages. Specifically, the invoker object is a higher-order function of
Command_pattern
In statistical learning theory, a learnable function class is a set of functions for which an algorithm can be devised to asymptotically minimize the expected
Learnable_function_class
Programming paradigm based on applying and composing functions
running state of the program. In functional programming, functions are treated as first-class entities, meaning that they can be bound to names (including
Functional_programming
In functional programming
function application says "if you fix the first arguments of the function, you get a function of the remaining arguments". For example, if function div(x
Partial_application
concepts of first-class function and anonymous function, but is distinct from them. These two concepts have more to do with how functions are defined
Procedural_parameter
Type of data structure
collectively referred to as non-union classes) that has data and functions (also called member variables and member functions) as its members whose access is
C++_classes
Lightweight programming language
programmers to implement namespaces, classes and other related features using its single table implementation; first-class functions allow the employment of many
Lua
List data structure
proportional to its length. Difference lists can be implemented using first-class functions or using unification. Whether a difference list is more efficient
Difference_list
Negative of a convex function
a concave function is any function for which the hypograph is convex. The class of concave functions is in a sense the opposite of the class of convex
Concave_function
High-level programming language
It has dynamic typing, prototype-based object-orientation, and first-class functions. It is multi-paradigm, supporting event-driven, functional, and
JavaScript
Finalizer First-class function Fragile base class Function composition Generic programming God object Heap-based memory allocation Helper class Hybrid language
Index of object-oriented programming articles
Index_of_object-oriented_programming_articles
Programming language concept
For example, an Action<T> represents a first-class function expecting an argument of type T, and a function that can handle any type of animal can always
Type_variance
languages with first-class functions, where they fulfil the same role for the function type as literals do for other data types. Anonymous functions originate
Examples of anonymous functions
Examples_of_anonymous_functions
Programming language
"Codewalk: First-Class Functions in Go". Go supports first class functions, higher-order functions, user-defined function types, function literals, closures
Go_(programming_language)
Mathematical function whose derivative exists
differentiable functions are sometimes said to be of class C1. A function is of class C2 if the first and second derivative of the function both exist and
Differentiable_function
Programming style in which control is passed explicitly
a functional language that does not feature first-class continuations but does have first-class functions and tail-call optimization. Without tail-call
Continuation-passing_style
Function that is continuous everywhere but differentiable nowhere
fractal curve. The Weierstrass function has historically served the role of a pathological function, being the first published example (1872) specifically
Weierstrass function (nowhere-differentiable function)
Weierstrass_function_(nowhere-differentiable_function)
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)
Mechanism for supporting dynamic dispatch
method binding). Whenever a class defines a virtual function (or method), most compilers add a hidden member variable to the class that points to an array
Virtual_method_table
Representation of the control state of a computer program
produced the call to the current function, or to a function that has previously exited. One can think of a first-class continuation as saving the execution
Continuation
Programming language
facilities. Iterators are supported and can be used as first class entities, as can functions, allowing for the use of functional programming methods
Nim_(programming_language)
Mathematical function such that every output has at least one input
surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there
Surjective_function
Type of Lisp function
user-defined function whose operands are passed unevaluated. However, in later usage the term fexpr may describe any first-class function whose operands
Fexpr
Defines the inputs and outputs for a function, subroutine or method
for first-class functions; this function requires two inputs where one argument is supplied and the function is "curried" to produce a function for the
Type_signature
Analytic function that does not satisfy a polynomial equation
mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable
Transcendental_function
Mapping of mathematical formulas to a particular meaning
example, the class of groups, in the signature consisting of the binary function symbol × and the constant symbol 1, is an elementary class, but it is not
Structure (mathematical logic)
Structure_(mathematical_logic)
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
Programming language
core distinction of K is that functions are first-class objects, a concept borrowed from Scheme. First-class functions can be used in the same contexts
K_(programming_language)
Pointer that points to a function
} Functors, or function objects, are similar to function pointers, and can be used in similar ways. A functor is an object of a class type that implements
Function_pointer
Representation of subroutine calls in a computer program
feature dynamic dispatch (e.g. Java or C++), first-class functions (e.g. Python or Racket), or function pointers (e.g. C), computing a static call graph
Call_graph
Collection of sets in mathematics that can be defined based on a property of its members
be thought of as "classes". In ZF, the concept of a function can also be generalised to classes. A class function is not a function in the usual sense
Class_(set_theory)
Extension of the factorial function
extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function is defined for all complex numbers z {\displaystyle
Gamma_function
About mathematical functions
the notion of "function" in a manner somewhat similar to Frege, but without the precision. First Peano defines the sign "K means class, or aggregate of
History of the function concept
History_of_the_function_concept
Object that creates other objects
creating other objects; formally, it is a function or method that returns objects of a varying prototype or class from some method call, which is assumed
Factory (object-oriented programming)
Factory_(object-oriented_programming)
System for transporting documents and other small packages
over second-class (newspapers and magazines), third class (bulk advertisements), and fourth-class mail (books and media packages). First-Class Mail prices
multimethods, optional duck typing, macros, true closures, currying, and first-class functions. Boo was one of the three scripting languages for the Unity game
Boo_(programming_language)
Generic type features in C++
programming language that allow functions and classes to operate with generic types. This allows a function or class declaration to reference via a generic
Template_(C++)
Set of rules defining correctly structured programs
version 5.3 PHP has first-class functions that can be used e.g. as an argument to another function. function runner(callable $function, mixed ...$args) {
PHP_syntax_and_semantics
Conjecture on zeros of the zeta function
Unsolved problem in mathematics Do all non-trivial zeros of the Riemann zeta function have a real part equal to one half? More unsolved problems in mathematics
Riemann_hypothesis
Multi-paradigm system programming language
implements garbage collection, first-class arrays (std::array in C++ are technically not first-class), array slicing, nested functions and lazy evaluation. D
D_(programming_language)
Computer programming function
the function indicating no value. In languages which support first-class functions and currying, map may be partially applied to lift a function that
Map_(higher-order_function)
Function and primitive data structure in Lisp and other functional programming languages
ridiculously. Since Lisp has first-class functions, all data structures, including cons cells, can be implemented using functions. For example, in Scheme:
Cons
Turkish anti-air warfare destroyer under development
named TCG Kocatepe. The class will provide survivability in the presence of aerial threat and also support mission functions such as command, control
Tepe-class_destroyer
Point in a computer program where instruction-execution begins
Rust and Kotlin programs this is a function named main; in Java it is a static method named main (although the class must be specified at the invocation
Entry_point
"Codewalk: First-Class Functions in Go". Go supports first class functions, higher-order functions, user-defined function types, function literals, closures
Comparison of programming languages
Comparison_of_programming_languages
Set of all things that may be the input of a mathematical function
the unknown function(s) sought. For example, it is sometimes convenient in set theory to permit the domain of a function to be a proper class X, in which
Domain_of_a_function
smooth functions v i j {\displaystyle v_{i}^{j}} . This can be done globally, using a partition of unity. Then, we say we have an irreducible first-class constraint
First-class_constraint
Extension of Rexx programming language with support for object-oriented programming
Pointer classes are specifically designed to support writing methods and function in native code using the C/C++ APIs. Alarm and Ticker classes provide
Object_REXX
Theorem in mathematics
determinant". If the function of the theorem belongs to a higher differentiability class, the same is true for the inverse function. There are also versions
Inverse_function_theorem
Analytic function in mathematics
Riemann zeta function, or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ {\displaystyle \zeta } (zeta), is a function of a complex
Riemann_zeta_function
Mathematical logic concept
a partial computable function. The set S is the range of a total computable function, or empty. If S is infinite, the function can be chosen to be injective
Computably_enumerable_set
Class of mathematical functions
elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions is also referred
Weierstrass_elliptic_function
Function, homomorphism, or morphism
In mathematics, a map or mapping is synonymous to a function, though various branches add further nuances to differentiate them. The terms may have originated
Map_(mathematics)
All derivatives have the intermediate value property
and 0 if it does not. Darboux functions are a quite general class of functions. It turns out that any real-valued function on the real line can be written
Darboux's_theorem_(analysis)
Scripting language created in 1994
caller. Such a function is a first-class object, meaning that it can be stored in a variable, passed as a parameter to other functions, etc. Unusually
PHP
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
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
KERMIT_SUPPORT as a first-class function which can be passed as an argument to another function, making CTM_JS_CALL a higher-order function that calls its
S3_(programming_language)
Target set of a mathematical function
of a function f if f is defined as just a graph. For example, in set theory it is desirable to permit the domain of a function to be a proper class X, in
Codomain
Function reference passed to and called by another function
generally support first-class functions, which can be passed as callbacks to other functions, stored as data or returned from functions. Many languages
Callback (computer programming)
Callback_(computer_programming)
called like a function. pointer to function; pointer to member function; functor; lambda expression. std::function is a template class that can hold any
Callable_object
Quickly growing function
of primitive recursive functions f1,f2,… selected from the Grzegorczyk hierarchy. This makes the Ackermann function the first limit point fω of the fast-growing
Ackermann_function
In computer programming, a variable which is not defined in the local scope
anonymous, higher-order and thereby first-class functions in a programming language. If the nested function or functions are (mutually) recursive, it becomes
Non-local_variable
Class used for injecting methods
template AddFunction() { void addedFunction() { writeln("Added function from mixin!"); } } class MyClass { mixin AddFunction; // Injects addedFunction() into
Mixin
Patterns used in computer programming
glob() (/ɡlɒb/) is a POSIX C function for globbing, which is the archetypal use of pattern matching against the names in a filesystem directory such that
Glob_(programming)
of some class selection A choice function: something that selects one element from each of a collection of classes. sequent A sequent of a class α in a
Glossary of Principia Mathematica
Glossary_of_Principia_Mathematica
Complexity class
with the decision problems in the set NP. More formally, #P is the class of function problems of the form "compute f(x)", where f is the number of accepting
♯P
than that of Lisp. One of POP-11's features is that it supports first-class functions. CycL is a special-purpose language for Cyc. Glossary of artificial
List of programming languages for artificial intelligence
List_of_programming_languages_for_artificial_intelligence
Words supplying mainly grammatical information, rather than content information
the structures of sentences. Words that are not function words are called content words (or open class words, lexical words, or autosemantic words) and
Function_word
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
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Indicator function of rational numbers
shows that the Dirichlet function is a Baire class 2 function. It cannot be a Baire class 1 function because a Baire class 1 function can only be discontinuous
Dirichlet_function
supports first class functions and higher order functions, including function types and anonymous functions // A top-level higher-order function using block
Ceylon_(programming_language)
language. In 2018 SISAL was modernized with indent-based syntax, first-class functions, lambdas, closures and lazy semantics within a project SISAL-IS
SISAL
Guided-missile destroyer class in the Japanese Maritime Self-Defense Forces
made in many areas. Most notable are those that allow the Hatakaze-class to function as a group flagship. Normally, this duty resides with a larger type
Hatakaze-class_destroyer
School of thought in philosophy of mathematics
supposition requires the notions of function-"orders" and argument-"types". First, functions (and their classes-as-extensions, i.e. "matrices") are to
Logicism
Concept in theoretical computer science
Reversal Turing Machine (RTM) class, SRTM(6) ≥ 47339970 and ΣRTM(6) ≥ 6147. Likewise we could define an analog to the Σ function for register machines as the
Busy_beaver
Type of infinite number in set theory
iff ω < κ and for all α < κ, for every function from Vα to κ, there is β < κ such that the image of the function is a subset of β. Similarly, an ordinal
Inaccessible_cardinal
quasi-analytic class of functions is a generalization of the class of real analytic functions based upon the following fact: If f is an analytic function on an
Quasi-analytic_function
Mathematical concept
Given a class function G: V → V (where V is the class of all sets), there exists a unique transfinite sequence F: Ord → V (where Ord is the class of all
Transfinite_induction
Function that is tied to a particular instance or class
as a member function. C++ also has the concept of virtual functions which are member functions that can be overridden in derived classes and allow for
Method_(computer_programming)
travel, tourism, insurance
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