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
-
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
| Español | función sobreyectiva |
|---|---|
| 한국어 | 전사 jeonsa |
| 日本語 | 全射 zensha |
| 中文 | 满射 mǎnshè |
| Português | sobrejeção |
| Français | surjection |
| Deutsch | Surjektion, surjektive Funktion |
| Italiano | suriezione |
| Ελληνικά | επίρριψη epírripsi |
| Română | surjecție, funcție surjectivă |
| Русский | сюръе́кция sjurʺjékcija |
| Tiếng Việt | toàn ánh |
Talk about this word "surjection." Wiktionary, via Micwyn, micwyn.com/word/surjection. Accessed 6 Nov. 2026. surjection. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/surjection "surjection." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/surjection.Cite this
@misc{surjection_2026,
title = {surjection},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/surjection},
urldate = {2026-11-06}
}