bn:00045826n
Noun Concept
Categories: Types of functions, Properties of binary operations, Functions and mappings, Basic concepts in set theory, Binary operations
EN
identity  identity element  identity operator  identity function  F(x)=x
EN
An operator that leaves unchanged the element on which it operates WordNet 3.0
Definitions
Examples
Relations
Sources
EN
An operator that leaves unchanged the element on which it operates WordNet 3.0 & Open English WordNet
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. Wikipedia
In mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied. Wikipedia
A function that leaves its argument unchanged Wikipedia Disambiguation
An element of the set which leaves unchanged every element when the operation is applied Wikipedia Disambiguation
Special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them Wikidata
Function that always returns the same value that was used as its argument Wikidata
An element of an algebraic structure which, when applied to another element under an operation in that structure, yields this second element. Wiktionary
An element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element. Wiktionary
Member of a structure. Wiktionary (translation)
A function whose value is always the same as its independent variable, and for which the codomain equals the domain. Wiktionary
A function whose value is always the same as its independent variable. Wiktionary (translation)
EN
The identity under numerical multiplication is 1 WordNet 3.0 & Open English WordNet