codomain
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.
Noun
- 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.
- Definition 2.5. A function is onto if each element of the codomain has at least one element of the domain assigned to it. In other words, a function is onto if the range equals the codomain. - 1994, Richard A. Holmgren,...
- Once we have described f as a function from A to B, by convention we will call B the codomain, even though other sets, of which B is a subset, could have been used.[…]If y is an element of the codomain, then...
- For example, the codomain of g(X)#61;X³ consists of all real numbers. A function links each element in its domain to some element in its codomain. Each domain element is linked to exactly one codomain element. - 2017,...
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(more generally, of a binary relation R between A and B) The set B.
Origin
Etymology tree Proto-Indo-European *ḱe? Proto-Indo-European *ḱóm Proto-Italic *kom Proto-Italic *kom- Latin con- Latin co-der. English co- Proto-Indo-European *dem- Proto-Indo-European *-s Proto-Indo-European *dṓmder. Proto-Italic *domanos Latin dominus Proto-Indo-European *-yós Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ium Latin dominiumder. Old French demainebor. Middle English demayne English domain English codomain From co- + domain.