Download e-book for iPad: AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL

By XIA BICAN ET AL

ISBN-10: 9814759112

ISBN-13: 9789814759113

This is the 1st publication that makes a speciality of useful algorithms for polynomial inequality proving and learning. it's a precis of the paintings by means of the authors and their collaborators on computerized inequality proving and gaining knowledge of in recent times. in addition to short advent to a few classical effects and similar paintings in corresponding chapters, the e-book more often than not makes a speciality of the algorithms initiated by way of the authors and their collaborators, equivalent to actual root counting, genuine root class, more suitable CAD projection, dimension-decreasing set of rules, distinction substitution, etc. the entire algorithms have been carefully proved and the implementations are confirmed by means of plenty of examples in quite a few backgrounds corresponding to algebra, geometry, organic technological know-how, and machine 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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AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL


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