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Definition of Piecewise linear
1. Adjective. (mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces ¹
2. Adjective. (topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds ¹
¹ Source: wiktionary.com