See codomain in All languages combined, or Wiktionary
{
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"ref": "1994, Richard A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, page 11:",
"text": "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.",
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{
"text": "2006, Robert L. Causey, Logic, Sets, and Recursion, 2nd Edition, Jones & Bartlett Learning, page 192,\nOnce 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∈ mathit Img(f,A) iff there is some x in the domain such that f maps x to y."
},
{
"ref": "2017, Alan Garfinkel, Jane Shevtsov, Yina Guo, Modeling Life: The Mathematics of Biological Systems, Springer, page 12:",
"text": "For example, the codomain of g(X)#x3D;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.",
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"The set B."
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"alt": "しゅういき",
"code": "ja",
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"roman": "shūiki",
"sense": "target set of a function",
"word": "終域"
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"sense": "target set of a function",
"word": "область значений"
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},
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"(more generally, of a binary relation R between A and B) The set B."
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"sense": "target set of a function",
"tags": [
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"word": "область значений"
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"word": "codomain"
}
Download raw JSONL data for codomain meaning in English (5.3kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.