Definition of idempotent in English:
idempotent
adjective ˌʌɪdɛmˈpəʊt(ə)ntʌɪˈdɛmpət(ə)ntˈēdemˌpōt(ə)ntˌīdemˈpōt(ə)nt
Mathematics Denoting an element of a set which is unchanged in value when multiplied or otherwise operated on by itself.
Example sentencesExamples
- Read his paper, On a conjecture of Littlewood and idempotent measures, American Journal of Mathematics 82, 191-212.
- These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent.
- We have already seen the addpath function, which performs an idempotent addition of a pathel to a pathvar.
- He used the, now familiar, tools of idempotent and nilpotent elements.
- The purpose of addpath is to add a pathel (path element) to a pathvar (path variable) in an idempotent fashion.
noun ˌʌɪdɛmˈpəʊt(ə)ntʌɪˈdɛmpət(ə)ntˈēdemˌpōt(ə)ntˌīdemˈpōt(ə)nt
Mathematics An idempotent element.
Example sentencesExamples
- 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.
Definition of idempotent in US English:
idempotent
adjectiveˈēdemˌpōt(ə)ntˌīdemˈpōt(ə)nt
Mathematics Denoting an element of a set which is unchanged in value when multiplied or otherwise operated on by itself.
Example sentencesExamples
- These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent.
- We have already seen the addpath function, which performs an idempotent addition of a pathel to a pathvar.
- Read his paper, On a conjecture of Littlewood and idempotent measures, American Journal of Mathematics 82, 191-212.
- He used the, now familiar, tools of idempotent and nilpotent elements.
- The purpose of addpath is to add a pathel (path element) to a pathvar (path variable) in an idempotent fashion.
nounˈēdemˌpōt(ə)ntˌīdemˈpōt(ə)nt
Mathematics An idempotent element.
Example sentencesExamples
- 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.
- Every left ideal is generated by an idempotent, and R is von neumann.
Origin
Late 19th century: from Latin idem ‘same’ + potent.