Definition of idempotent in English:

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idempotent

Pronunciation: /ˌīdemˈpōt(ə)nt/
/ˈēdemˌpōt(ə)nt/
Mathematics

adjective

Denoting an element of a set that is unchanged in value when multiplied or otherwise operated on by itself.
Example sentences
  • Read his paper, On a conjecture of Littlewood and idempotent measures, American Journal of Mathematics 82, 191-212.
  • We have already seen the addpath function, which performs an idempotent addition of a pathel to a pathvar.
  • The purpose of addpath is to add a pathel (path element) to a pathvar (path variable) in an idempotent fashion.

noun

An idempotent element.
Example sentences
  • Every left ideal is generated by an idempotent, and R is von neumann.
  • Further, an idempotent is semiprimitive if it is central and if it cannot be expressed as u+v where u and v are central idempotents with uv = 0.

Origin

Late 19th century: from Latin idem 'same' + potent1.

For editors and proofreaders

Syllabification: i·dem·po·tent

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