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In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [ 1 ] The set X is called the domain of the function [ 2 ] and the set Y is called the codomain of the function. [ 3 ] Functions were originally the idealization of how a varying quantity depends on another quantity.
Function (computer programming) In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit[1] of software logic that has a well-defined interface and behavior and can be invoked multiple times. Callable units provide a powerful programming tool. [2] The primary purpose is to allow for the ...
Identity function: maps any given element to itself. Constant function: has a fixed value regardless of its input. Empty function: whose domain equals the empty set. Set function: whose input is a set. Choice function called also selector or uniformizing function: assigns to each set one of its elements.
Wikifunctions is a collaboratively edited catalog of computer functions to enable the creation, modification, and reuse of source code. [2][3] It is closely related to Abstract Wikipedia, an extension of Wikidata to create a language-independent version of Wikipedia using its structured data. [4][5][6] Provisionally named Wikilambda, [7] the ...
The integral of the Dirac delta function. Saw-tooth wave. Square wave. Triangle wave. Rectangular function. Floor function: Largest integer less than or equal to a given number. Ceiling function: Smallest integer larger than or equal to a given number. Sign function: Returns only the sign of a number, as +1 or −1.
Function (engineering), a specific action that a system can perform. Function (language), a way of achieving an aim using language. Function (mathematics), a relation that associates an input to a single output. Function (sociology), an activity's role in society. Functionality (chemistry), the presence of functional groups in a molecule.
Elementary function. In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x1/n). [1]
t. e. In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, [a] the other being differentiation. Integration was initially used to solve problems in mathematics ...