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- Codomain abstract "In mathematics, the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image.The codomain is part of a function f if it is defined as described in 1954 by Nicolas Bourbaki, namely a triple (X, Y, F), with F a functional subset of the Cartesian product X × Y and X is the set of first components of the pairs in F (the domain). The set F is called the graph of the function. The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. In general, the image of a function is a subset of its codomain. Thus, it may not coincide with its codomain. Namely, a function that is not surjective has elements y in its codomain for which the equation f(x) = y does not have a solution.An alternative definition of function by Bourbaki [Bourbaki, op. cit., p. 77], namely as just a functional graph, does not include a codomain and is also widely used. For example in set theory it is desirable to permit the domain of a function to be a proper class X, in which case there is formally no such thing as a triple (X, Y, F). With such a definition functions do not have a codomain, although some authors still use it informally after introducing a function in the form f: X → Y.".
- Codomain thumbnail Codomain2.SVG?width=300.
- Codomain wikiPageID "50264".
- Codomain wikiPageLength "8862".
- Codomain wikiPageOutDegree "31".
- Codomain wikiPageRevisionID "676386140".
- Codomain wikiPageWikiLink Bijection.
- Codomain wikiPageWikiLink Cartesian_product.
- Codomain wikiPageWikiLink Category:Basic_concepts_in_set_theory.
- Codomain wikiPageWikiLink Category:Functions_and_mappings.
- Codomain wikiPageWikiLink Class_(set_theory).
- Codomain wikiPageWikiLink Domain_of_a_function.
- Codomain wikiPageWikiLink Function_(mathematics).
- Codomain wikiPageWikiLink Function_composition.
- Codomain wikiPageWikiLink Image_(mathematics).
- Codomain wikiPageWikiLink Injective_function.
- Codomain wikiPageWikiLink Interval_(mathematics).
- Codomain wikiPageWikiLink Linear_map.
- Codomain wikiPageWikiLink Linear_subspace.
- Codomain wikiPageWikiLink Linear_transformation.
- Codomain wikiPageWikiLink Mathematics.
- Codomain wikiPageWikiLink Matrix_(mathematics).
- Codomain wikiPageWikiLink Nicolas_Bourbaki.
- Codomain wikiPageWikiLink Output_(mathematics).
- Codomain wikiPageWikiLink Range_(mathematics).
- Codomain wikiPageWikiLink Rank_(linear_algebra).
- Codomain wikiPageWikiLink Set_(mathematics).
- Codomain wikiPageWikiLink Set_theory.
- Codomain wikiPageWikiLink Square_root.
- Codomain wikiPageWikiLink Square_root_function.
- Codomain wikiPageWikiLink Surjection.
- Codomain wikiPageWikiLink Surjective_function.
- Codomain wikiPageWikiLink Vector_space.
- Codomain wikiPageWikiLink File:Codomain2.SVG.
- Codomain wikiPageWikiLinkText "Codomain".
- Codomain wikiPageWikiLinkText "co-domain".
- Codomain wikiPageWikiLinkText "codomain".
- Codomain wikiPageWikiLinkText "image".
- Codomain wikiPageWikiLinkText "target set".
- Codomain wikiPageWikiLinkText "target".
- Codomain wikiPageWikiLinkText "values".
- Codomain hasPhotoCollection Codomain.
- Codomain wikiPageUsesTemplate Template:Citation.
- Codomain wikiPageUsesTemplate Template:Closed-open.
- Codomain wikiPageUsesTemplate Template:Math.
- Codomain wikiPageUsesTemplate Template:Mvar.
- Codomain wikiPageUsesTemplate Template:Nbsp.
- Codomain wikiPageUsesTemplate Template:Reflist.
- Codomain subject Category:Basic_concepts_in_set_theory.
- Codomain subject Category:Functions_and_mappings.
- Codomain hypernym Y.
- Codomain type Album.
- Codomain type Concept.
- Codomain type Function.
- Codomain type Relation.
- Codomain comment "In mathematics, the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y.".
- Codomain label "Codomain".
- Codomain sameAs مجال_مقابل.
- Codomain sameAs Kodomen.
- Codomain sameAs Codomini.
- Codomain sameAs Zielmenge.
- Codomain sameAs Celo-aro.
- Codomain sameAs Codominio.
- Codomain sameAs دامنه_مشترک.
- Codomain sameAs Maalijoukko.
- Codomain sameAs Ensemble_darrivxc3xa9e.
- Codomain sameAs Kodomena.
- Codomain sameAs Arivey-ensemblo.
- Codomain sameAs Bakmengi.
- Codomain sameAs 終域.
- Codomain sameAs 공역_(수학).
- Codomain sameAs Codomein.
- Codomain sameAs Verdiområde.
- Codomain sameAs Contradomínio.
- Codomain sameAs m.0d9h4.
- Codomain sameAs Codomeniu.
- Codomain sameAs Kodomena.
- Codomain sameAs Codomain.
- Codomain sameAs Målmängd.
- Codomain sameAs இணையாட்களம்_(கணிதம்).
- Codomain sameAs โคโดเมน.
- Codomain sameAs Değer_kümesi.
- Codomain sameAs Q199006.
- Codomain sameAs Q199006.
- Codomain sameAs 到达域.
- Codomain wasDerivedFrom Codomain?oldid=676386140.
- Codomain depiction Codomain2.SVG.
- Codomain isPrimaryTopicOf Codomain.