identity element

identity element
noun
an operator that leaves unchanged the element on which it operates
-

the identity under numerical multiplication is 1

Syn: ↑identity, ↑identity operator
Hypernyms: ↑operator

* * *

noun
see identity 8

* * *

Math.
identity (def. 9b).
[1900-05]

* * *

identity element noun (mathematics)
An element (e) in a system of elements such that e*x=x*e=x for every value of x, where * denotes a binary operation (in the ordinary number system, e = 0 for addition, and 1 for multiplication)
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Main Entry:identity

* * *

identity element,
Mathematics. an element that does not change any other element on which it operates; identity. The identity element for addition is 0. The identity element for multiplication is 1. Example: 28 × 1 = 28.

Useful english dictionary. 2012.

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  • identity element — noun Date: 1902 an element (as 0 in the set of all integers under addition or 1 in the set of positive integers under multiplication) that leaves any element of the set to which it belongs unchanged when combined with it by a specified operation …   New Collegiate Dictionary

  • identity element — Math. identity (def. 9b). [1900 05] * * * …   Universalium

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  • identity — /uy den ti tee, i den /, n., pl. identities. 1. the state or fact of remaining the same one or ones, as under varying aspects or conditions: The identity of the fingerprints on the gun with those on file provided evidence that he was the killer.… …   Universalium

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