# piecewise linear

> English word · Adjective

## Definitions
1. Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces
2. Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds

## Etymology
From piecewise (adverb) + linear.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/piecewise-linear