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- Bijection abstract "In mathematics, a bijection (or bijective function or one-to-one correspondence) is a function between the elements of two sets, where every element of one set is paired with exactly one element of the other set, and every element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In formal mathematical terms, a bijective function f: X → Y is a one to one and onto mapping of a set X to a set Y. A bijection from the set X to the set Y has an inverse function from Y to X. If X and Y are finite sets, then the existence of a bijection means they have the same number of elements. For infinite sets the picture is more complicated, leading to the concept of cardinal number, a way to distinguish the various sizes of infinite sets.A bijective function from a set to itself is also called a permutation.Bijective functions are essential to many areas of mathematics including the definitions of isomorphism, homeomorphism, diffeomorphism, permutation group, and projective map.".
- Bijection thumbnail Bijection.svg?width=300.
- Bijection wikiPageExternalLink i.html.
- Bijection wikiPageID "3942".
- Bijection wikiPageRevisionID "606528719".
- Bijection hasPhotoCollection Bijection.
- Bijection id "p/b016230".
- Bijection title "Bijection".
- Bijection urlname "Bijection".
- Bijection subject Category:Basic_concepts_in_set_theory.
- Bijection subject Category:Functions_and_mappings.
- Bijection subject Category:Mathematical_relations.
- Bijection subject Category:Types_of_functions.
- Bijection type Abstraction100002137.
- Bijection type BasicConceptsInSetTheory.
- Bijection type Cognition100023271.
- Bijection type Concept105835747.
- Bijection type Content105809192.
- Bijection type Function113783816.
- Bijection type FunctionsAndMappings.
- Bijection type Idea105833840.
- Bijection type MathematicalRelation113783581.
- Bijection type PsychologicalFeature100023100.
- Bijection type Relation100031921.
- Bijection comment "In mathematics, a bijection (or bijective function or one-to-one correspondence) is a function between the elements of two sets, where every element of one set is paired with exactly one element of the other set, and every element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In formal mathematical terms, a bijective function f: X → Y is a one to one and onto mapping of a set X to a set Y.".
- Bijection label "Bijectie".
- Bijection label "Bijection".
- Bijection label "Bijection".
- Bijection label "Bijektive Funktion".
- Bijection label "Corrispondenza biunivoca".
- Bijection label "Función biyectiva".
- Bijection label "Funkcja wzajemnie jednoznaczna".
- Bijection label "Função bijectiva".
- Bijection label "Биекция".
- Bijection label "دالة تقابلية".
- Bijection label "全単射".
- Bijection label "双射".
- Bijection sameAs Bijekce.
- Bijection sameAs Bijektive_Funktion.
- Bijection sameAs Función_biyectiva.
- Bijection sameAs Bijekzio.
- Bijection sameAs Bijection.
- Bijection sameAs Corrispondenza_biunivoca.
- Bijection sameAs 全単射.
- Bijection sameAs 전단사함수.
- Bijection sameAs Bijectie.
- Bijection sameAs Funkcja_wzajemnie_jednoznaczna.
- Bijection sameAs Função_bijectiva.
- Bijection sameAs m.018_c.
- Bijection sameAs Q180907.
- Bijection sameAs Q180907.
- Bijection sameAs Bijection.
- Bijection wasDerivedFrom Bijection?oldid=606528719.
- Bijection depiction Bijection.svg.
- Bijection isPrimaryTopicOf Bijection.