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 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](https://www.pdfsearch.io/img/1bbe1b0a76f3fbe32c5b44d8a9578fc4.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2010-06-16 13:36:26
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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 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](https://www.pdfsearch.io/img/0f199545ddb45754f030588f863505c2.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2010-06-16 13:31:06
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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 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](https://www.pdfsearch.io/img/09ffe3a2e2aef4e24b859fbb490edead.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2010-06-16 13:35:58
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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 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](https://www.pdfsearch.io/img/a78fece8b21dbc61236dca96f60ce041.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2012-01-30 23:55:12
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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], 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],](https://www.pdfsearch.io/img/58ed39c3631ff446f2b4bad038ca9d42.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2013-05-22 00:59:00
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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 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](https://www.pdfsearch.io/img/6577ba78271446d6a155fd384d257834.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2011-07-21 09:04:59
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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 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](https://www.pdfsearch.io/img/c7604a1f1bac70f2bd687c1be2b31274.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2011-09-22 08:25:51
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178![Advanced Training in Mathematics Schools Funded by National Board for Higher Mathematics Annual Foundation Schools (AFS) Objectives of AFS Advanced Training in Mathematics Schools Funded by National Board for Higher Mathematics Annual Foundation Schools (AFS) Objectives of AFS](https://www.pdfsearch.io/img/036c37f169437be3308bb2267dee7fe8.jpg) | Add to Reading ListSource URL: www.math.iitb.ac.inLanguage: English - Date: 2006-07-15 09:12:52
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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 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](https://www.pdfsearch.io/img/0351f2a879c6616391421885b13bc7bb.jpg) | Add to Reading ListSource URL: www.math.purdue.eduLanguage: English - Date: 2010-06-16 13:36:40
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180![Contents∗ Preface vii About the Author Contents∗ Preface vii About the Author](https://www.pdfsearch.io/img/9cfe6e5dce8b7a97ad79c9d1d1f0451f.jpg) | Add to Reading ListSource URL: www.trillia.comLanguage: English - Date: 2004-05-19 14:29:34
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