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Real closed field
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11	INFINITESIMALS ARE TOO SMALL FOR COUNTABLY INFINITE FAIR LOTTERIES ALEXANDER R. PRUSS Abstract. We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair Add to Reading List Source URL: alexanderpruss.com Language: English - Date: 2013-06-12 13:10:22 Infinity Abstraction Calculus Real closed field Mathematical logic Infinitesimal Archimedean property Standard part function Measure Mathematics Abstract algebra Non-standard analysis
12	OVERLOAD CONTENTS OVERLOAD 108 Add to Reading List Source URL: accu.org Language: English - Date: 2012-04-10 15:20:14 Mathematical logic Mathematical analysis Abstraction Combinatorial game theory Real closed field Surreal number C++ classes Infinitesimal Derivative Mathematics C++ Infinity
13	Computing the infinite Sam Sanders1 Tohoku University & Ghent University LICS11, June 22, 2011, Fields Institute, Toronto Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-08-06 12:41:28 Abstraction Calculus Mathematical analysis Real closed field Infinitesimal Number Real number Non-standard model of arithmetic Mathematics Infinity Non-standard analysis
14	PDF Document Add to Reading List Source URL: gfisher.org Language: English - Date: 2010-08-13 00:31:47 Non-standard analysis Infinity Real closed field Augustin-Louis Cauchy (ε δ)-definition of limit Infinitesimal Differential of a function Hyperreal number Continuous function Mathematical analysis Mathematics Calculus
15	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
16	ASYMPTOTIC DENSITY AND THE ERSHOV HIERARCHY ROD DOWNEY, CARL JOCKUSCH, TIMOTHY H. MCNICHOLL, AND PAUL SCHUPP Abstract. We classify the asymptotic densities of the ∆02 sets according to their level in the Ershov hierarc Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2014-02-03 11:22:38 Field theory Computable number Real closed field Natural density Recursively enumerable set Limit superior and limit inferior Itō diffusion Mathematics Theory of computation Computability theory
17	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
18	REFINED BOUNDS ON THE NUMBER OF CONNECTED COMPONENTS OF SIGN CONDITIONS ON A VARIETY SAL BARONE AND SAUGATA BASU Abstract. Let R be a real closed field, P, Q ⊂ R[X1 , . . . , Xk ] finite subsets of polynomials, with th Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-11-06 10:09:22 Algebraic geometry Commutative algebra Field extension Algebraic variety Algebraically closed field Zariski topology Betti number Puiseux series Algebraic closure Abstract algebra Algebra Field theory
19	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
20	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