Function (computer science) in the context of Function type


Function (computer science) in the context of Function type

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โญ Core Definition: Function (computer science)

In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit of software logic that has a well-formed interface and behavior and can be invoked multiple times.

Callable units provide a powerful programming tool. The primary purpose is to allow for the decomposition of a large and/or complicated problem into chunks that have relatively low cognitive load and to assign the chunks meaningful names (unless they are anonymous). Judicious application can reduce the cost of developing and maintaining software, while increasing its quality and reliability.

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๐Ÿ‘‰ Function (computer science) in the context of Function type

In computer science and mathematical logic, a function type (or arrow type or exponential) is the type of a variable or parameter to which a function has or can be assigned, or an argument or result type of a higher-order function taking or returning a function.

A function type depends on the type of the parameters and the result type of the function (it, or more accurately the unapplied type constructor ยท โ†’ ยท, is a higher-kinded type). In theoretical settings and programming languages where functions are defined in curried form, such as the simply typed lambda calculus, a function type depends on exactly two types, the domain A and the range B. Here a function type is often denoted A โ†’ B, following mathematical convention, or B, based on there existing exactly B (exponentially many) set-theoretic functions mappings A to B in the category of sets. The class of such maps or functions is called the exponential object. The act of currying makes the function type adjoint to the product type; this is explored in detail in the article on currying.

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Function (computer science) in the context of Library (computing)

In computing, a library is a collection of resources that can be used during software development to implement a computer program. Commonly, a library consists of executable code such as compiled functions and classes, or a library can be a collection of source code. A resource library may contain data such as images and text.

A library can be used by multiple, independent consumers (programs and other libraries). This differs from resources defined in a program which can usually only be used by that program. When a consumer uses a library resource, it gains the value of the library without having to implement it itself. Libraries encourage software reuse in a modular fashion. Libraries can use other libraries resulting in a hierarchy of libraries in a program.

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Function (computer science) in the context of 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 update the running state of the program.

In functional programming, functions are treated as first-class citizens, meaning that they can be bound to names (including local identifiers), passed as arguments, and returned from other functions, just as any other data type can. This allows programs to be written in a declarative and composable style, where small functions are combined in a modular manner.

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Function (computer science) in the context of Type systems

A programming language consists of a system of allowed sequences of symbols (constructs) together with rules that define how each construct is interpreted. For example, a language might allow expressions representing various types of data, expressions that provide structuring rules for data, expressions representing various operations on data, and constructs that provide sequencing rules for the order in which to perform operations.

A simple type system for a programming language is a set of rules that associates a data type (for example, integer, floating point, string) with each term (data-valued expression) in a computer program. In more ambitious type systems, a variety of constructs, such as variables, expressions, functions, and modules, may be assigned types.

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Function (computer science) in the context of Housekeeping (computing)

In computer programming, housekeeping can refer to either a standard entry or exit routine appended to a user-written block of code (such as a subroutine or function, sometimes as a function prologue and epilogue) at its entry and exit or to any other automated or manual software process whereby a computer is cleaned up after usage (e.g. freeing resources such as virtual memory). This might include such activities as removing or archiving logs that the system has made as a result of the users activities, or deletion of temporary files which may otherwise simply take up space. Housekeeping can be described as a necessary chore, required to perform a particular computer's normal activity but not necessarily part of the algorithm. For cleaning up computer disk storage, utility software usually exists for this purpose such as data compression software - to "shrink" files and release disk space and defragmentation programs - to improve disk performance.

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Function (computer science) in the context of Computer algebra

In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes exact computation with expressions containing variables that have no given value and are manipulated as symbols.

Software applications that perform symbolic calculations are called computer algebra systems, with the term system alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programming language (usually different from the language used for the implementation), a dedicated memory manager, a user interface for the input/output of mathematical expressions, and a large set of routines to perform usual operations, like simplification of expressions, differentiation using the chain rule, polynomial factorization, indefinite integration, etc.

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Function (computer science) in the context of Generic programming

Generic programming is a style of computer programming in which algorithms are written in terms of data types to-be-specified-later that are then instantiated when needed for specific types provided as parameters. This approach, pioneered in the programming language ML in 1973, permits writing common functions or data types that differ only in the set of types on which they operate when used, thus reducing duplicate code.

Generic programming was introduced to the mainstream with Ada in 1977. With templates in C++, generic programming became part of the repertoire of professional library design. The techniques were further improved and parameterized types were introduced in the influential 1994 book Design Patterns.

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Function (computer science) in the context of Free variables and bound variables

In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a variable may be said to be either free or bound. Some older books use the terms real variable and apparent variable for free variable and bound variable, respectively. A free variable is a notation (symbol) that specifies places in an expression where substitution may take place and is not a parameter of this or any container expression. The idea is related to a placeholder (a symbol that will later be replaced by some value), or a wildcard character that stands for an unspecified symbol.

In computer programming, the term free variable refers to variables used in a function that are neither local variables nor parameters of that function. The term non-local variable is often a synonym in this context.

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Function (computer science) in the context of Multi-agent systems

A multi-agent system (MAS or "self-organized system") is a computerized system composed of multiple interacting intelligent agents. Multi-agent systems can solve problems that are difficult or impossible for an individual agent or a monolithic system to solve. Intelligence may include methodic, functional, procedural approaches, algorithmic search or reinforcement learning. With advancements in large language models (LLMs), LLM-based multi-agent systems have emerged as a new area of research, enabling more sophisticated interactions and coordination among agents.

Despite considerable overlap, a multi-agent system is not always the same as an agent-based model (ABM). The goal of an ABM is to search for explanatory insight into the collective behavior of agents (which do not necessarily need to be "intelligent") obeying simple rules, typically in natural systems, rather than in solving specific practical or engineering problems. The terminology of ABM tends to be used more often in the science, and MAS in engineering and technology. Applications where multi-agent systems research may deliver an appropriate approach include online trading, disaster response, target surveillance and social structure modelling.

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Function (computer science) in the context of Service (systems architecture)

In the contexts of software architecture, service-orientation and service-oriented architecture, the term service refers to a software functionality, or a set of software functionalities (such as the retrieval of specified information or the execution of a set of operations) with a purpose that different clients can reuse for different purposes, together with the policies that should control its usage (based on the identity of the client requesting the service, for example).

OASIS defines a service as "a mechanism to enable access to one or more capabilities, where the access is provided using a prescribed interface and is exercised consistent with constraints and policies as specified by the service description".

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Function (computer science) in the context of Dynamic library

A dynamic library is a library that contains functions and data that can be consumed by a computer program at run-time as loaded from a file separate from the program executable. Dynamic linking or late binding allows for using a dynamic library by linking program library references with the associated objects in the library either at load-time or run-time. At program build-time, the linker records what library objects the program uses. When the program is run, a dynamic linker or linking loader associates program library references with the associated objects in the library.

A dynamic library can be linked at build-time to a stub for each library resource that is resolved at run-time. Alternatively, a dynamic library can be loaded without linking to stubs.

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Function (computer science) in the context of Anonymous function

In computer programming, an anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often arguments being passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a function.If the function is only used once, or a limited number of times, an anonymous function may be syntactically lighter than using a named function. Anonymous functions are ubiquitous in functional programming languages and other 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 in the work of Alonzo Church in his invention of the lambda calculus, in which all functions are anonymous, in 1936, before electronic computers. In several programming languages, anonymous functions are introduced using the keyword lambda, and anonymous functions are often referred to as lambdas or lambda abstractions. Anonymous functions have been a feature of programming languages since Lisp in 1958, and a growing number of modern programming languages support anonymous functions.

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Function (computer science) in the context of String processing

String functions are used in computer programming languages to manipulate a string or query information about a string (some do both).

Most programming languages that have a string datatype will have some string functions although there may be other low-level ways within each language to handle strings directly. In object-oriented languages, string functions are often implemented as properties and methods of string objects. In functional and list-based languages a string is represented as a list (of character codes), therefore all list-manipulation procedures could be considered string functions. However such languages may implement a subset of explicit string-specific functions as well.

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Function (computer science) in the context of Language construct

In computer programming, a language construct is a syntactically allowable part of a program that may be formed from one or more lexical tokens in accordance with the rules of the programming language, as defined by in the ISO/IEC 2382 standard (ISO/IEC JTC 1).A term is defined as a "linguistic construct in a conceptual schema language that refers to an entity".

While the terms "language construct" and "control structure" are often used synonymously, there are additional types of logical constructs within a computer program, including variables, expressions, functions, or modules.

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