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Function (mathematics)

In 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 set Y is called the codomain of the function.

Definition, Notation & Specifying a function

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Overview

Definition

Notation

Other terms

Specifying a function

Representing a function

General properties

In calculus

Function space

Multi-valued functions

In the foundations of mathematics

In computer science

Subpages

Generalizations

Related topics

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Map overview Semantic statistics

Function (mathematics)

Nodes271
Edges270
Triples13
Avg. degree1.99
Density0.00738
Components1

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Important terminology Word statistics

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Important terminology

function displaystyle domain functions set example codomain real one may defined definition called element notation used numbers inverse functional image

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
finstance ofand this greatly increased the possible applications of the concept.A function is often denoted by a letter0.80text
g or hinstance ofand this greatly increased the possible applications of the concept.A function is often denoted by a letter0.80text
ininstance ofThe use of an unspecified variable between parentheses is useful for defining a function explicitly0.80text
logarithmsinstance ofsuch tables were often compiled and published for functions0.80text
trigonometric functions.Bar chartA bar chart can represent a function whose domain is a finite setinstance ofsuch tables were often compiled and published for functions0.80text
the natural numbersinstance ofsuch tables were often compiled and published for functions0.80text
or the integersinstance ofsuch tables were often compiled and published for functions0.80text
trigonometric functionsinstance ofsuch tables were often compiled and published for functions0.80text
real analysisinstance ofmore rigorous setting in courses0.80text
complex analysis.Real functionA real function is a real-valued function of a real variableinstance ofmore rigorous setting in courses0.80text
that isinstance ofmore rigorous setting in courses0.80text
a function whose codomain is the field of real numbersinstance ofmore rigorous setting in courses0.80text

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