New PDF release: AUTOMATED INEQUALITY PROVING AND DISCOVERING
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.
- 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