AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL

By XIA BICAN ET AL

This is the 1st ebook that specializes in functional algorithms for polynomial inequality proving and gaining knowledge of. it's a precis of the paintings via the authors and their collaborators on computerized inequality proving and learning in recent times. along with short creation to a few classical effects and similar paintings in corresponding chapters, the e-book generally specializes in the algorithms initiated via the authors and their collaborators, reminiscent of genuine root counting, actual root class, more desirable CAD projection, dimension-decreasing set of rules, distinction substitution, and so forth. the entire algorithms have been carefully proved and the implementations are confirmed via plenty of examples in numerous backgrounds reminiscent of 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 vulnerable 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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