piecewise linear

The term "piecewise linear" is used to describe functions or curves composed of multiple linear segments, often applied in mathematical modeling and real-world applications.

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Definition

C1Mathematics

(technical)A function made up of several linear segments, each defined over a specific interval.

Example

  • The piecewise linear function approximates the curve by connecting straight line segments.
  • Income tax calculations often use piecewise linear functions to model different tax rates for different income brackets.

C2Topology

(technical, academic)A type of manifold where charts can be connected by linear segments.

Example

  • The piecewise linear structure of the manifold allows for simpler computational models.

Similar

Terms that have similar or relatively close meanings to "piecewise linear":

linear function