piecewise linear

adjective

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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Meanings

adjectivepiecewise linear (not comparable)
  1. not comparablemathematicsEqual to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces
  2. not comparablemathematicsHaving a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds

    Synonyms: PL

Synonyms & antonyms

adjectiveHaving a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds

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Origin

Translations

Finnish paloittain lineaarinen
  • paloittain lineaarinenmathematics: equal to a sum of finitely many linear functions
Icelandic línulegur á köflum
  • línulegur á köflummathematics: equal to a sum of finitely many linear functions
Polish odcinkowo-liniowy
  • odcinkowo-liniowymathematics: equal to a sum of finitely many linear functions
Russian кусо́чно-лине́йный
  • кусо́чно-лине́йный (kusóčno-linéjnyj)mathematics: equal to a sum of finitely many linear functions
Cite this entry
APA

piecewise linear. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/piecewise%20linear

MLA

“piecewise linear.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/piecewise%20linear. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “piecewise linear,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/piecewise%20linear.

Source: piecewise linear on Wiktionary, CC BY-SA 4.0.