Results 1  10
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2,799
Periodic Instantons with Nontrivial Holonomy
, 1998
"... We present the detailed derivation of the charge one periodic instantons or calorons with nontrivial holonomy for SU(2). We use a suitable combination of the Nahm transformation and ADHM techniques. Our results rely on our ability to compute explicitly the relevant Green’s function in terms of ..."
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Cited by 60 (2 self)
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We present the detailed derivation of the charge one periodic instantons or calorons with nontrivial holonomy for SU(2). We use a suitable combination of the Nahm transformation and ADHM techniques. Our results rely on our ability to compute explicitly the relevant Green’s function in terms
COEFFICIENTS AND NONTRIVIALITY OF THE JONES POLYNOMIAL
, 2006
"... We show that several classes of links, including semiadequate links and Whitehead doubles of semiadequate knots, have nontrivial Jones polynomial. Then we prove that there are infinitely many positive knots with no positive minimal crossing diagrams, and infinitely many achiral knots of odd crossi ..."
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Cited by 9 (1 self)
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We show that several classes of links, including semiadequate links and Whitehead doubles of semiadequate knots, have nontrivial Jones polynomial. Then we prove that there are infinitely many positive knots with no positive minimal crossing diagrams, and infinitely many achiral knots of odd
Existence of nontrivial, vacuum, asymptotically simple spacetimes
 2002) L 71  L 79. Erratum Class. Quantum Grav
"... We construct nontrivial vacuum spacetimes with a global I +. The construction proceeds by proving extension results across compact boundaries for initial data sets, adapting the gluing arguments of Corvino and Schoen. Another application of the extension results is existence of initial data which ..."
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Cited by 38 (2 self)
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We construct nontrivial vacuum spacetimes with a global I +. The construction proceeds by proving extension results across compact boundaries for initial data sets, adapting the gluing arguments of Corvino and Schoen. Another application of the extension results is existence of initial data which
MetaCost: A General Method for Making Classifiers CostSensitive
 In Proceedings of the Fifth International Conference on Knowledge Discovery and Data Mining
, 1999
"... Research in machine learning, statistics and related fields has produced a wide variety of algorithms for classification. However, most of these algorithms assume that all errors have the same cost, which is seldom the case in KDD prob lems. Individually making each classification learner costsensi ..."
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Cited by 415 (4 self)
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costsensitive is laborious, and often nontrivial. In this paper we propose a principled method for making an arbitrary classifier costsensitive by wrapping a costminimizing procedure around it. This procedure, called MetaCost, treats the underlying classifier as a black box, requiring no knowledge of its
1 The Perfect Laplace Operator for NonTrivial Boundaries
, 2000
"... The application of Renormalization Group (RG) methods to find perfect discretizations of partial differential equations is a promising but little investigated approach. We calculate the classically perfect fixedpoint Laplace operator for boundaries of nontrivial shape analytically and numerically ..."
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The application of Renormalization Group (RG) methods to find perfect discretizations of partial differential equations is a promising but little investigated approach. We calculate the classically perfect fixedpoint Laplace operator for boundaries of nontrivial shape analytically and numerically
A generalization of the nontriviality theorem of Serre
 Proc. Amer. Math. Soc
"... Abstract. We generalize the classical theorem of Serre on the nontriviality of infinitely many homotopy groups of 1connected finite CWcomplexes to CWcomplexes where the cohomology groups either grow too fast or do not grow faster than a certain rate given by connectivity. For example, this resul ..."
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Cited by 1 (0 self)
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, this result can be applied to iterated suspensions of finite Postnikov systems and certain spaces with finitely generated cohomology ring. In particular, we obtain an independent, short proof of a theorem of R. Levi on the nontriviality of kinvariants associated to finite perfect groups. Another application
A First Exploration of PrologIII's Capabilities
, 1993
"... This paper explores PrologIII's capabilities through the study of two short but nontrivial applications that are chosen to show the advantages of constraint logic programming languages over conventional Prologs, especially for tackling combinatorial problems ..."
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Cited by 5 (2 self)
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This paper explores PrologIII's capabilities through the study of two short but nontrivial applications that are chosen to show the advantages of constraint logic programming languages over conventional Prologs, especially for tackling combinatorial problems
Tractable Inference for Probabilistic Data Models
, 2003
"... Based on ideas from statistical physics, we present an approximation technique for probabilistic data models with a large number of hidden variables. We give examples for two non–trivial applications. 1 ..."
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Based on ideas from statistical physics, we present an approximation technique for probabilistic data models with a large number of hidden variables. We give examples for two non–trivial applications. 1
Integrable maps with nontrivial topology: application to divertor configurations
, 2010
"... We explore a method for constructing twodimensional areapreserving, integrable maps associated with Hamiltonian systems, with a given set of fixed points and given invariant curves. The method is used to find an integrable Poincaré map for the field lines in a large aspect ratio tokamak with a po ..."
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poloidal singlenull divertor. The divertor field is a superposition of a magnetohydrodynamic equilibrium with an arbitrarily chosen safety factor profile, with a wire carrying an electric current to create an Xpoint. This integrable map is perturbed by an impulsive perturbation that describes non
Nontriviality of the Jones polynomial and the crossing numbers of amphichiral knots
"... Abstract. Using an involved study of the Jones polynomial, we determine, as our main result, the crossing numbers of (prime) amphicheiral knots. As further applications, we show that several classes of links, including semiadequate links and Whitehead doubles of semiadequate knots, have nontrivial ..."
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Cited by 3 (0 self)
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Abstract. Using an involved study of the Jones polynomial, we determine, as our main result, the crossing numbers of (prime) amphicheiral knots. As further applications, we show that several classes of links, including semiadequate links and Whitehead doubles of semiadequate knots, have nontrivial
Results 1  10
of
2,799