By XIA BICAN ET AL
This is the 1st booklet that specializes in sensible algorithms for polynomial inequality proving and researching. it's a precis of the paintings by means of the authors and their collaborators on automatic inequality proving and learning lately. in addition to short creation to a few classical effects and similar paintings in corresponding chapters, the ebook in general specializes in the algorithms initiated through the authors and their collaborators, similar to genuine root counting, genuine root type, stronger CAD projection, dimension-decreasing set of rules, distinction substitution, etc. the entire algorithms have been carefully proved and the implementations are established through plenty of examples in a number of backgrounds corresponding to algebra, geometry, organic technology, and computing device science.
- 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 actual algebraic geometry, optimization and synthetic intelligence.
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AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL