Share this entry

Share this page

idempotent

Syllabification: i·dem·po·tent
Pronunciation: /ˌīdemˈpōt(ə)nt
 
, ˈēdemˌpōt(ə)nt
 
/
Mathematics

Definition of idempotent in English:

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

Back to top  
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.

Definition of idempotent in:

Share this entry

Share this page

 

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Get more from Oxford Dictionaries

Subscribe to remove adverts and access premium resources

Word of the day cumbersome
Pronunciation: ˈkʌmbəs(ə)m
adjective
large or heavy and therefore difficult to carry…