codomain
Pronunciation
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003
Pronunciation
- (America) IPA: /ˌkoʊ.doʊˈmeɪn/
codomain (plural codomains)
- (mathematics, 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.
- 1994, Richard A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, page 11 ↗,
- 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.
- 2006, Robert L. Causey, Logic, Sets, and Recursion, 2nd Edition, Jones & Bartlett Learning, page 192 ↗,
- 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\in\mathit{Img}(f,A) iff there is some x in the domain such that f maps x to y.
- 2017, Alan Garfinkel, Jane Shevtsov, Yina Guo, Modeling Life: The Mathematics of Biological Systems, Springer, page 12 ↗,
- For example, the codomain of g(X) = X^3 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.
- 1994, Richard A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, page 11 ↗,
- (target set of a function) range
- (target set of a function) domain
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003