idempotentˈaɪ dəmˈpoʊt nt, ˈɪd əm-
idempotent (n)
English Definitions:
idempotent (adj)
unchanged in value following multiplication by itself
"this matrix is idempotent"
idempotent (Noun)
An idempotent ring or other structure
idempotent (Adjective)
Describing an action which, when performed multiple times, has no further effect on its subject after the first time it is performed.
idempotent (Adjective)
Said of an element of an algebraic structure (such as a group or semigroup) with a binary operation: that when the element operates on itself, the result is equal to itself.
idempotent (Adjective)
Said of a binary operation: that all of the distinct elements it can operate on are idempotent (in the sense given just above).
idempotent
Idempotence (UK: , US: ) is the property of certain operations in mathematics and computer science whereby they can be applied multiple times without changing the result beyond the initial application. The concept of idempotence arises in a number of places in abstract algebra (in particular, in the theory of projectors and closure operators) and functional programming (in which it is connected to the property of referential transparency). The term was introduced by American mathematician Benjamin Peirce in 1870 in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means "(the quality of having) the same power", from idem + potence (same + power).
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"idempotent." Kamus.net. STANDS4 LLC, 2024. Web. 18 Mar. 2024. <https://www.kamus.net/english/idempotent>.
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