Codomain

Quick meaning: Codomain is a noun meaning (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.

Meaning

(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.

Example Sentences

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.

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.

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 y#92;in#92;mathit#123;Img#125;(f,A) iff there is some x in the domain such that f maps x to y.

Word Forms

• codomains

Synonyms for codomain

Depending on context, synonyms include range.

Antonyms for codomain

Common opposites include domain.

Related Words

Related dictionary entries include domain, kernel, function, inclusion, antidomain, preimage.

Related Dictionary Tools