Titlebook: Algorithms in Real Algebraic Geometry; Saugata Basu,Richard Pollack,Marie-Franco̧ise Roy Textbook 20031st edition Springer-Verlag Berlin H

TRAWL

fabricate

NEX

GLEAN

裙带关系

Isometric

Computing Roadmaps and Connected Components of Semi-algebraic Sets,s provided by cylindrical decomposition in Chapter 12 for the problem of deciding connectivity properties of semi-algebraic sets (single exponential in the number of variables rather than doubly exponential).

Soliloquy

Therapieoptionen bei der Schmerzbehandlung,Since a real univariate polynomial does not always have real roots, a very natural algorithmic problem, is to design a method to count the number of real roots of a given polynomial (and thus decide whether it has any). The “real root counting problem” plays a key role in nearly all the “algorithms in real algebraic geometry” studied in this book.

陶醉

Lucubrate

引起痛苦

Introduction,Since a real univariate polynomial does not always have real roots, a very natural algorithmic problem, is to design a method to count the number of real roots of a given polynomial (and thus decide whether it has any). The “real root counting problem” plays a key role in nearly all the “algorithms in real algebraic geometry” studied in this book.