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- Cycle_(mathematics) abstract "In mathematics, and in particular in group theory, a cycle is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (i.e., mapping to themselves) all other elements of X. For example, the permutation of {1, 2, 3, 4} that sends 1 to 3, 2 to 4, 3 to 2 and 4 to 1 is a cycle, while the permutation that sends 1 to 3, 2 to 4, 3 to 1 and 4 to 2 is not (it separately permutes the pairs {1, 3} and {2, 4}). The set S is called the orbit of the cycle.".
- Cycle_(mathematics) wikiPageExternalLink PermByTrans.shtml.
- Cycle_(mathematics) wikiPageID "2539394".
- Cycle_(mathematics) wikiPageRevisionID "603556075".
- Cycle_(mathematics) hasPhotoCollection Cycle_(mathematics).
- Cycle_(mathematics) id "2262".
- Cycle_(mathematics) title "cycle".
- Cycle_(mathematics) subject Category:Algebra.
- Cycle_(mathematics) subject Category:Permutations.
- Cycle_(mathematics) type Abstraction100002137.
- Cycle_(mathematics) type Change107296428.
- Cycle_(mathematics) type Event100029378.
- Cycle_(mathematics) type Happening107283608.
- Cycle_(mathematics) type Permutations.
- Cycle_(mathematics) type PsychologicalFeature100023100.
- Cycle_(mathematics) type Substitution107443761.
- Cycle_(mathematics) type Variation107337390.
- Cycle_(mathematics) type YagoPermanentlyLocatedEntity.
- Cycle_(mathematics) comment "In mathematics, and in particular in group theory, a cycle is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (i.e., mapping to themselves) all other elements of X. For example, the permutation of {1, 2, 3, 4} that sends 1 to 3, 2 to 4, 3 to 2 and 4 to 1 is a cycle, while the permutation that sends 1 to 3, 2 to 4, 3 to 1 and 4 to 2 is not (it separately permutes the pairs {1, 3} and {2, 4}).".
- Cycle_(mathematics) label "Ciclo (permutación)".
- Cycle_(mathematics) label "Cycle (mathematics)".
- Cycle_(mathematics) label "Cykel (wiskunde)".
- Cycle_(mathematics) label "Permutation circulaire".
- Cycle_(mathematics) label "Permutação circular".
- Cycle_(mathematics) sameAs Ciclo_(permutación).
- Cycle_(mathematics) sameAs Permutation_circulaire.
- Cycle_(mathematics) sameAs Cykel_(wiskunde).
- Cycle_(mathematics) sameAs Permutação_circular.
- Cycle_(mathematics) sameAs m.07ltk1.
- Cycle_(mathematics) sameAs Q592629.
- Cycle_(mathematics) sameAs Q592629.
- Cycle_(mathematics) sameAs Cycle_(mathematics).
- Cycle_(mathematics) wasDerivedFrom Cycle_(mathematics)?oldid=603556075.
- Cycle_(mathematics) isPrimaryTopicOf Cycle_(mathematics).