Phrase guide

piecewise linear

adj · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

adj

Meaning 1

Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

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

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences, topology

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From piecewise (adverb) + linear.

Across languages

Translations

4 source translations are retained for this English entry.

  • Finnish: paloittain lineaarinen — mathematics: equal to a sum of finitely many linear functions
  • Icelandic: línulegur á köflum — mathematics: equal to a sum of finitely many linear functions
  • Polish: odcinkowo-liniowy — mathematics: equal to a sum of finitely many linear functions
  • Russian: кусо́чно-лине́йный (kusóčno-linéjnyj) — mathematics: equal to a sum of finitely many linear functions