Back to explorer

entry

idempotent

/ˌaɪ.dəmˈpoʊ.tənt/

Unchanged after repeated application or multiplication

From Latin idem (the same) + Latin potent (powerful).

noun
adjective
idem
Latin
Verified
idem
“the same”; used to avoid repeating something already written

from Latin idem "the same, identical with" (see idem ) + potentem "powerful" (see potent ).

English, 19th century
Verified
idem
Borrowed as a scholarly term meaning “the same”

from Latin idem "the same, identical with" (see idem ) + potentem "powerful" (see potent ).

potent
Latin
AI-inferred
potis
“powerful, able; master or chief”
Latin
AI-inferred
potens, potentis
“powerful”; the present participle associated with posse, “to be able”
Middle English
AI-inferred
potent
Borrowed from Latin for “powerful”
Modern English
AI-inferred
potent
Powerful or capable of producing an effect
Combined
idempotent
Coined in 1870 by American mathematician Benjamin Peirce by combining Latin idem, “same,” with potent, “powerful.”
English, 1870
Verified
idempotent
In algebra, describing a quantity that gives itself when multiplied by itself

from Latin idem "the same, identical with" (see idem ) + potentem "powerful" (see potent ).

Modern mathematics and computer science
Verified
idempotent
Describing an operation whose repeated application produces no further change after the first application

from Latin idem "the same, identical with" (see idem ) + potentem "powerful" (see potent ).

Modern English
idempotent

In 1870, American mathematician Benjamin Peirce gave algebra a word that sounds almost like a tiny philosophical slogan: “same power.” The first half, Latin idem, was a scribes’ shortcut meaning “the same as above”—a way to avoid writing the same name or phrase twice. The second half, potent, comes from Latin ideas of being powerful, capable, or even a master, and it is a cousin of omnipotent and plenipotentiary. Put them together and the mathematical image is wonderfully literal: an idempotent quantity has enough “power” to reproduce itself, but not enough effect to change after that. In computer science, an idempotent command is the dependable button you can press repeatedly without making a mess—the linguistic equivalent of “same result, please.”

§