Max-Min Representation of Piecewise Linear Functions
Sergei Ovchinnikov
TL;DR
This paper demonstrates that any piecewise linear function can be expressed as a Max-Min polynomial of its linear segments, providing a new mathematical representation.
Contribution
Introduces a novel Max-Min polynomial representation for piecewise linear functions, expanding the mathematical tools for analyzing such functions.
Findings
Piecewise linear functions can be represented as Max-Min polynomials.
The representation simplifies analysis and computation of piecewise linear functions.
Provides a new perspective on the structure of piecewise linear functions.
Abstract
It is shown that a piecewise linear function can be represented as a Max-Min polynomial of its linear components.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Data Management and Algorithms · Computer Graphics and Visualization Techniques