Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Identity Function

Logic, Foundations and Set Theory

An identity function, also called an identity relation, identity map or identity transformation, is a function that always returns exactly the value given to it as its argument, unchanged; when f is the identity function, the equality f(x) equals x holds for every value of x to which f can be applied. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Function 1
Connections

In Branch

Source Wolfram MathWorld: Identity Function

Is Kind Of Object

Functions, Concepts
Sources
1. Identity Function (Wikipedia)
Lead section
Quote, Lead section
In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used as its argument, unchanged.
View the Source
Wolfram MathWorld: Identity Function
Wolfram MathWorldIn Branch: Analysis, Subject classifications
Quote, In Branch: Analysis, Subject classifications
Calculus and Analysis Special Functions
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.