What does idempotence mean?

Definitions for idempotence
idem·po·tence

This dictionary definitions page includes all the possible meanings, example usage and translations of the word idempotence.

Wiktionary

  1. idempotencenoun

    A quality of an action such that repetitions of the action have no further effect on outcome – being idempotent.

  2. Etymology: roots, – literally, “the quality of having the same power”.

Wikipedia

  1. Idempotence

    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).

Wikidata

  1. Idempotence

    Idempotence is the property of certain operations in mathematics and computer science, that 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 and functional programming. The term was introduced by Benjamin Peirce in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means " the same power", from idem + potence. There are several meanings of idempotence, depending on what the concept is applied to: ⁕A unary operation is idempotent if, whenever it is applied twice to any value, it gives the same result as if it were applied once; i.e., ƒ ≡ ƒ(x). For example, the absolute value: abs ≡ abs(x). ⁕A binary operation is idempotent if, whenever it is applied to two equal values, it gives that value as the result. For example, the operation giving the maximum value of two values is idempotent: max ≡ x.

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Numerology

  1. Chaldean Numerology

    The numerical value of idempotence in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of idempotence in Pythagorean Numerology is: 1


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"idempotence." Definitions.net. STANDS4 LLC, 2024. Web. 7 May 2024. <https://www.definitions.net/definition/idempotence>.

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