surjection

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surjection

  • /sɜː(ɹ)ˈd͡ʒɛk.ʃən/

Where it comes from

From French surjection, introduced by the Bourbaki group in their treatise Éléments de mathématique.

Ultimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).

noun surjections

  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.

    Similar: surjective function, onto function

Translations

Every language

noun function that is a many-to-one mapping

Españolfunción sobreyectiva
한국어전사 jeonsa
日本語全射 zensha
中文满射 mǎnshè
Portuguêssobrejeção
Françaissurjection
DeutschSurjektion, surjektive Funktion
Italianosuriezione
Ελληνικάεπίρριψη epírripsi
Românăsurjecție, funcție surjectivă
Русскийсюръе́кция sjurʺjékcija
Tiếng Việttoàn ánh

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MLA

"surjection." Wiktionary, via Micwyn, micwyn.com/word/surjection. Accessed 6 Nov. 2026.

APA

surjection. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/surjection

Chicago

"surjection." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/surjection.

BibTeX
@misc{surjection_2026,
  title = {surjection},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/surjection},
  urldate = {2026-11-06}
}