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Automated Inequality Proving and Discovering by Bican Xia, Lu Yang

Automated Inequality Proving and Discovering

by Bican Xia , Lu Yang
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Book cover type: Hardcover
  • ISBN13: 9789814759113
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 344
  • Original Price: USD 124.0
  • Language: English
  • Edition: N/A
  • Item Weight: 635 grams
  • BISAC Subject(s): Discrete Mathematics

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the authors and their collaborators, such as real root counting, real root classification, improved CAD projection, dimension-decreasing algorithm, difference substitution, and so on. All the algorithms were rigorously proved and the implementations are demonstrated by lots of examples in various backgrounds such as algebra, geometry, biological science, and computer science.

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