Surjection
//sɜː(ɹ)ˈd͡ʒɛk.ʃən// noun
noun ·Rare ·Advanced level
Definitions
Noun
- 1 A function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.
"In some special cases, however, the number of surjections A#92;rightarrowB can be identified."
- 2 a mathematical function that is an onto mapping. wordnet
Example
More examples"In some special cases, however, the number of surjections A#92;rightarrowB can be identified."
Etymology
From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique. Ultimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).
Related phrases
More for "surjection"
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.