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Functional programming. In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative programming paradigm in which function definitions are trees of expressions that map values to other values, rather than a sequence of imperative statements which ...
In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the author). into the field of real or complex numbers. [2][3] In functional analysis, the term linear functional is a synonym of linear form; [3][4][5] that is, it is a scalar-valued linear map.
Function application can be trivially defined as an operator, called apply or $, by the following definition: $ = The operator may also be denoted by a backtick (`).. If the operator is understood to be of low precedence and right-associative, the application operator can be used to cut down on the number of parentheses needed in an expression.
Guile. Emacs Lisp. JavaScript and some dialects, e.g., JScript. Lua (embedded in many games) OpenCL (extension of C and C++ to use the GPU and parallel extensions of the CPU) OptimJ (extension of Java with language support for writing optimization models and powerful abstractions for bulk data processing) Perl.
Broadly, functional requirements define what a system is supposed to do and non-functional requirements define how a system is supposed to be.Functional requirements are usually in the form of "system shall do <requirement>", an individual action or part of the system, perhaps explicitly in the sense of a mathematical function, a black box description input, output, process and control ...
Applicative functor. In functional programming, an applicative functor, or an applicative for short, is an intermediate structure between functors and monads. In Category Theory they are called Closed Monoidal Functors. Applicative functors allow for functorial computations to be sequenced (unlike plain functors), but don't allow using results ...
A functional problem is defined by a relation over strings of an arbitrary alphabet : An algorithm solves if for every input such that there exists a satisfying , the algorithm produces one such , and if there are no such , it rejects. A promise function problem is allowed to do anything (thus may not terminate) if no such exists.
Partial application. In computer science, partial application (or partial function application) refers to the process of fixing a number of arguments of a function, producing another function of smaller arity. Given a function , we might fix (or 'bind') the first argument, producing a function of type . Evaluation of this function might be ...