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- Bijection,_injection_and_surjection abstract "In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.A function maps elements from its domain to elements in its codomain.A function is injective (one-to-one) if every element of the codomain is mapped to by at most one element of the domain. Notationally,or, equivalently (using logical transposition),An injective function is an injection.A function is surjective (onto) if every element of the codomain is mapped to by at least one element of the domain. (That is, the image and the codomain of the function are equal.) Notationally,A surjective function is a surjection.A function is bijective (one-to-one and onto or one-to-one correspondence) if every element of the codomain is mapped to by exactly one element of the domain. (That is, the function is both injective and surjective.) A bijective function is a bijection.An injective function need not be surjective (not all elements of the codomain may be associated with arguments), and a surjective function need not be injective (some images may be associated with more than one argument). The four possible combinations of injective and surjective features are illustrated in the right diagrams.".
- Bijection,_injection_and_surjection thumbnail Bijection.svg?width=300.
- Bijection,_injection_and_surjection wikiPageExternalLink i.html.
- Bijection,_injection_and_surjection wikiPageID "1830142".
- Bijection,_injection_and_surjection wikiPageRevisionID "606045153".
- Bijection,_injection_and_surjection hasPhotoCollection Bijection,_injection_and_surjection.
- Bijection,_injection_and_surjection subject Category:Basic_concepts_in_set_theory.
- Bijection,_injection_and_surjection subject Category:Functions_and_mappings.
- Bijection,_injection_and_surjection subject Category:Mathematical_relations.
- Bijection,_injection_and_surjection comment "In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.A function maps elements from its domain to elements in its codomain.A function is injective (one-to-one) if every element of the codomain is mapped to by at most one element of the domain.".
- Bijection,_injection_and_surjection label "Bijection, injection and surjection".
- Bijection,_injection_and_surjection label "单射、双射与满射".
- Bijection,_injection_and_surjection sameAs m.025r_sq.
- Bijection,_injection_and_surjection sameAs Q4907197.
- Bijection,_injection_and_surjection sameAs Q4907197.
- Bijection,_injection_and_surjection wasDerivedFrom Bijection,_injection_and_surjection?oldid=606045153.
- Bijection,_injection_and_surjection depiction Bijection.svg.
- Bijection,_injection_and_surjection isPrimaryTopicOf Bijection,_injection_and_surjection.
