identity element


Definition of identity element

: an element (such 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

Examples of identity element in a Sentence

Recent Examples on the Web Individually examining each identity element alone when onboarding a new customer is often ineffective, as all the pieces of information provided may be technically valid. Robert Mckay, Forbes, 18 May 2021 For example, the identity element in the group must be assigned the identity matrix. Quanta Magazine, 9 June 2020 The real numbers have an identity element — the number 1. Quanta Magazine, 9 June 2020

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'identity element.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of identity element

1902, in the meaning defined above

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The first known use of identity element was in 1902

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Dictionary Entries Near identity element

identity crisis

identity element

identity function

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Cite this Entry

“Identity element.” Dictionary, Merriam-Webster, Accessed 15 Oct. 2021.

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