Real algebraic geometry - PDFSEARCH.IO - Document Search Engine

Real algebraic geometry
Results: 227

#	Item
171	COMPUTING THE BETTI NUMBERS OF SEMI-ALGEBRAIC SETS DEFINED BY PARTLY QUADRATIC SYSTEMS OF POLYNOMIALS SAUGATA BASU, DMITRII V. PASECHNIK, AND MARIE-FRANC ¸ OISE ROY Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:26 Algebraic geometry Betti number Polynomial Semialgebraic set Ordinal number Probability theory Transcendental number Probability space Mathematics Abstract algebra Real algebraic geometry
172	Contemporary Mathematics Algorithmic Semi-algebraic Geometry and Topology – Recent Progress and Open Problems Saugata Basu Abstract. We give a survey of algorithms for computing topological invariants of semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:06 Real algebraic geometry Equations Algebraic geometry Semialgebraic set Algebraic variety Betti number Sheaf Algebraic topology Topology Abstract algebra Mathematics Algebra
173	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL 1. Brief Description Toda proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the cl Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:58 Field theory Algebraic geometry Polynomial Field extension Field Computational complexity theory Betti number Finite field Number Abstract algebra Mathematics Algebra
174	A BABY STEP-GIANT STEP ROADMAP ALGORITHM FOR GENERAL ALGEBRAIC SETS ´ SCHOST S. BASU, M-F. ROY, M. SAFEY EL DIN, AND E. Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that tak Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-01-30 23:55:12 Field theory Algebraic geometry Scheme theory Commutative algebra Algebraic curve Algebraic variety Field extension Real algebraic geometry Semialgebraic set Abstract algebra Algebra General topology
175	On a real analogue of Bezout inequality and the number of connected components of sign conditions Sal Barone and Saugata Basu Department of Mathematics Purdue University, West Lafayette, IN[removed]removed], Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-05-22 00:59:00 Field extension Ring theory Field theory Algebraic varieties Clifford algebra Galois module Abstract algebra Algebra Algebraic geometry
176	ALGORITHMS IN REAL ALGEBRAIC GEOMETRY: A SURVEY SAUGATA BASU Abstract. We survey both old and new developments in the theory of algorithms in real algebraic geometry – starting from effective quantifier elimination in Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-07-21 09:04:59 Real algebraic geometry Field theory Algebraic geometry Cylindrical algebraic decomposition Real closed field Algebraic extension Algebraic variety Tarski–Seidenberg theorem Field Abstract algebra Mathematics Algebra
177	A COMPLEX ANALOGUE OF TODA’S THEOREM SAUGATA BASU Abstract. Toda [28] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P#P , namely the class of languages that can be decided Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-09-22 08:25:51 Applied mathematics Constructible universe Polynomial Time hierarchy theorem Algebraic geometry Real closed field Karp–Lipton theorem Constructible number Mathematics Structural complexity theory Abstract algebra
178	Advanced Training in Mathematics Schools Funded by National Board for Higher Mathematics Annual Foundation Schools (AFS) Objectives of AFS Add to Reading List Source URL: www.math.iitb.ac.in Language: English - Date: 2006-07-15 09:12:52 Algebraic topology Fundamental theorem Areas of mathematics Homological algebra Algebraic geometry Manifold CW complex Real analysis Field Mathematics Abstract algebra Topology
179	Proceedings of the London Mathematical Society Advance Access published August 9, 2009 Proc. London Math. Soc. Page 1 of 24 e 2009 London Mathematical Society C Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:40 Real algebraic geometry General topology Model theory Mathematical structures Algebraic variety O-minimal theory Sheaf Combinatorics Differentiable manifold Topology Abstract algebra Algebraic geometry
180	Contents∗ Preface vii About the Author Add to Reading List Source URL: www.trillia.com Language: English - Date: 2004-05-19 14:29:34 Linear algebra Field theory Group theory Elementary mathematics Real algebraic geometry Vector space Real number Space Completeness Algebra Mathematics Abstract algebra

UPDATE