Discrete Mathematics

Get AUTOMATED INEQUALITY PROVING AND DISCOVERING PDF

By XIA BICAN ET AL

ISBN-10: 9814759112

ISBN-13: 9789814759113

This is the 1st ebook that specializes in functional algorithms for polynomial inequality proving and learning. it's a precis of the paintings through the authors and their collaborators on automatic inequality proving and studying in recent times. in addition to short advent to a few classical effects and comparable paintings in corresponding chapters, the e-book as a rule specializes in the algorithms initiated by means of the authors and their collaborators, equivalent to actual root counting, actual root class, more suitable CAD projection, dimension-decreasing set of rules, distinction substitution, and so forth. all of the algorithms have been conscientiously proved and the implementations are proven via plenty of examples in numerous backgrounds similar to algebra, geometry, organic technological know-how, and desktop 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 actual algebraic geometry, optimization and synthetic intelligence.

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