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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 wikiPageRevisionID "599821587".
- Codomain hasPhotoCollection Codomain.
- Codomain subject Category:Basic_concepts_in_set_theory.
- Codomain subject Category:Functions_and_mappings.
- Codomain type Abstraction100002137.
- Codomain type BasicConceptsInSetTheory.
- Codomain type Cognition100023271.
- Codomain type Concept105835747.
- Codomain type Content105809192.
- Codomain type Function113783816.
- Codomain type FunctionsAndMappings.
- Codomain type Idea105833840.
- Codomain type MathematicalRelation113783581.
- Codomain type PsychologicalFeature100023100.
- Codomain type Relation100031921.
- 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 label "Codomein".
- Codomain label "Codominio".
- Codomain label "Contradomínio".
- Codomain label "Ensemble d'arrivée".
- Codomain label "Zielmenge".
- Codomain label "مجال مقابل".
- Codomain label "到达域".
- Codomain sameAs Zielmenge.
- Codomain sameAs Codominio.
- Codomain sameAs Ensemble_d'arrivée.
- Codomain sameAs 공역_(수학).
- Codomain sameAs Codomein.
- Codomain sameAs Contradomínio.
- Codomain sameAs m.0d9h4.
- Codomain sameAs Q199006.
- Codomain sameAs Q199006.
- Codomain sameAs Codomain.
- Codomain wasDerivedFrom Codomain?oldid=599821587.
- Codomain depiction Codomain2.SVG.
- Codomain isPrimaryTopicOf Codomain.