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What does piecewise linear mean?

Looking for the meaning or definition of the word piecewise linear? Here's what it means.

Adjective
  1. (mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces
  2. (topology) Having 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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