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Algebraic numbers
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161	END OF SEMESTER EXAM, MP473, 1992 Time: Three hours Candidates should aim to complete SIX questions, but may attempt as many questions as they wish. √ √ Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:30:49 Ring theory Algebraic number theory Algebraic numbers Number theory Cyclotomic fields Algebraic integer Symbol Ring Gaussian integer Abstract algebra Mathematics Algebra
162	1 ISSN numbers are printed here Algebraic & Geometric Topology Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2006-03-22 09:21:54 Algebraic topology Geometric group theory Homology theory Homotopy theory Simplex Karen Vogtmann Out CW complex Homology Topology Abstract algebra Mathematics
163	Mathematical Olympiad in Poland Second Round, February 25–26, 2000 First Day 1. Prove or disprove the following statement: Each positive rational number can be written in the form a 2 + b3 Add to Reading List Source URL: www.mimuw.edu.pl Language: English - Date: 2000-11-24 10:18:26 Triangle Incircle and excircles of a triangle Polynomial Angle Algebraic numbers Pythagorean theorem Geometry Triangle geometry Triangles
164	The Bulletin of Symbolic Logic Volume 18, Number 1, March 2012 THE ABSOLUTE ARITHMETIC CONTINUUM AND THE UNIFICATION OF ALL NUMBERS GREAT AND SMALL Add to Reading List Source URL: www.ohio.edu Language: English - Date: 2012-01-31 12:26:37 Real algebraic geometry Mathematical logic Field theory Real closed field Philip Ehrlich Infinitesimal Surreal number Real number Archimedean property Mathematics Abstract algebra Infinity
165	A SHARPER ESTIMATE ON THE BETTI NUMBERS OF SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. In this paper we consider the problem of bounding the Betti numbers, bi (S), of a semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:16 Quadratic forms Algebraic topology Betti number Topological graph theory Algebraic geometry Real algebraic geometry Algebraic variety Weil conjectures Algebra Mathematics Abstract algebra
166	On the local behavior of the order of appearance in the Fibonacci sequence Florian Luca Fundaci´on Marcos Moshinsky, UNAM Circuito Exterior, C.U., Apdo. Postal[removed]Mexico D.F[removed], Mexico Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2013-08-15 15:09:45 Algebraic numbers Combinatorics Integer sequences Number theory Fibonacci number Root of unity Algebraic integer Factorial Euclidean algorithm Mathematics Numbers Algebraic number theory
167	BOUNDING THE EQUIVARIANT BETTI NUMBERS AND COMPUTING ´ CHARACTERISTIC OF THE GENERALIZED EULER-POINCARE SYMMETRIC SEMI-ALGEBRAIC SETS SAUGATA BASU AND CORDIAN RIENER Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-01-17 21:15:39 Algebraic topology Algebraic geometry Field theory Polynomials Betti number Homogeneous polynomial Algebraic variety Symmetric polynomial Real algebraic geometry Abstract algebra Algebra Mathematics
168	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL Abstract. Toda [36] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P# Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:44:12 Field theory Real algebraic geometry Algebraic geometry Real closed field Betti number Polynomial Algebraic variety Field Semialgebraic set Abstract algebra Mathematics Algebra
169	ON THE BETTI NUMBERS OF SIGN CONDITIONS SAUGATA BASU, RICHARD POLLACK, AND MARIE-FRANC ¸ OISE ROY Abstract. Let R be a real closed field and let Q and P be finite subsets of R[XV1 , . . . , Xk ] such that the set P has Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:45 Orbifold Algebraic geometry Algebraic variety Μ operator
170	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

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