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Idempotent Endomorphism
Idempotence (, ) is the property of certain operation (mathematics), 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 projector (linear algebra), 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 + ''wikt:potence, potence'' (same + power). Definition An element x of a set S equipped with a binary operator \cdot is said to be ''idempotent'' under \cdot if : . The ''binary operation'' \cdot is said to be ''idempotent'' if : . Examples * In the monoid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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On Off - Zał Wył (3086204137)
On, on, or ON may refer to: Arts and entertainment Music * On (band), a solo project of Ken Andrews * On (EP), ''On'' (EP), a 1993 EP by Aphex Twin * On (Echobelly album), ''On'' (Echobelly album), 1995 * On (Gary Glitter album), ''On'' (Gary Glitter album), 2001 * On (Imperial Teen album), ''On'' (Imperial Teen album), 2002 * On (Elisa album), ''On'' (Elisa album), 2006 * On (Jean album), ''On'' (Jean album), 2006 * On (Boom Boom Satellites album), ''On'' (Boom Boom Satellites album), 2006 * On (Tau album), ''On'' (Tau album), 2017 * On (song), "On" (song), a 2020 song by BTS * "On", a song by Bloc Party from the 2006 album ''A Weekend in the City'' * "On", a song by Anson Lo, 2023 Other media * ''Ön'', a 1966 Swedish film * On (Japanese prosody), the counting of sound units in Japanese poetry * On (novel), ''On'' (novel), by Adam Roberts * ONdigital, a failed British digital television service, later called ITV Digital * Overmyer Network, a former US television network Places * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |