New PDF release: AUTOMATED INEQUALITY PROVING AND DISCOVERING

Discrete Mathematics

By XIA BICAN ET AL

This is the 1st ebook that specializes in functional algorithms for polynomial inequality proving and studying. it's a precis of the paintings by means of the authors and their collaborators on automatic inequality proving and getting to know in recent times. along with short advent to a few classical effects and similar paintings in corresponding chapters, the publication customarily makes a speciality of the algorithms initiated by way of the authors and their collaborators, equivalent to actual root counting, actual root type, more advantageous CAD projection, dimension-decreasing set of rules, distinction substitution, etc. all of the algorithms have been conscientiously proved and the implementations are proven via plenty of examples in quite a few backgrounds resembling algebra, geometry, organic technological know-how, and computing device science.

Contents:

  • Preface
  • Basics of removal Method
  • Zero Decomposition of Polynomial System
  • Triangularization of Semi-Algebraic System
  • Real Root Counting
  • Real Root Isolation
  • Real Root Classification
  • Open susceptible CAD
  • Dimension-Decreasing Algorithm
  • SOS Decomposition
  • Successive distinction Substitution
  • Proving Inequalities past the Tarski Model

Readership: Researchers and graduate scholars in computational genuine algebraic geometry, optimization and synthetic intelligence.

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