"piecewise linear" meaning in All languages combined

See piecewise linear on Wiktionary

Adjective [English]

Head templates: {{en-adj|-}} piecewise linear (not comparable)
  1. (mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces Tags: not-comparable Categories (topical): Mathematics Translations (mathematics: equal to a sum of finitely many linear functions): paloittain lineaarinen (Finnish), línulegur á köflum [masculine] (Icelandic), кусо́чно-лине́йный (kusóčno-linéjnyj) (Russian)
    Sense id: en-piecewise_linear-en-adj-~naI2ijm Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 58 42 Topics: mathematics, sciences Disambiguation of 'mathematics: equal to a sum of finitely many linear functions': 88 12
  2. (topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds Tags: not-comparable Categories (topical): Topology Synonyms: PL
    Sense id: en-piecewise_linear-en-adj-Yuqs0-Z4 Topics: mathematics, sciences, topology

Alternative forms

Download JSON data for piecewise linear meaning in All languages combined (2.7kB)

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        "(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
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          "_dis1": "88 12",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-16 from the enwiktionary dump dated 2024-05-02 using wiktextract (e268c0e and 304864d). 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.