# idempotent

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

## Definition of idempotent in English:

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.

## Definition of idempotent in:

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= trending

## More on idempotent

### More words in this category

arc tangent Briggs, Henry C 1 cosh 2 cubature
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