codomain

== English == === Etymology === From co- + domain. === Pronunciation === (US) IPA(key): /ˌkoʊ.doʊˈmeɪn/ === Noun === codomain (plural codomains) (mathematics, mathematical analysis) The target set into which a function is formally defined to map elements of its domain; the set denoted Y in the notation f : X → Y. (more generally, of a binary relation R between A and B) The set B. ==== Usage notes ==== The codomain always contains the image of the function (the actual set of points to which points of the domain are mapped), but is larger (i.e. strictly contains the image) if the function is not surjective. The term range is often synonymous with codomain, but can also be used as a synonym for image. ==== Synonyms ==== (target set of a function): range ==== Antonyms ==== (antonym(s) of “target set of a function”): domain ==== Translations ==== === Further reading === Domain of a function on Wikipedia.Wikipedia Image (mathematics) on Wikipedia.Wikipedia Range (mathematics) on Wikipedia.Wikipedia Injective function on Wikipedia.Wikipedia Surjective function on Wikipedia.Wikipedia Bijection on Wikipedia.Wikipedia Codomain on Wolfram MathWorld === Anagrams === monoacid