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A Necessary and Sufficient Condition for Approachability
Mathematics of Operations Research, 2002In the framework of two-person repeated games with vector payoffs, Blackwell defined the property of approachability and introduced a sufficient condition for it. He also proved that this condition is necessary in the case of convex sets. We generalize this result: A set is approachable if and only if it contains a set that satisfies Blackwell's ...
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A Necessary and Sufficient Condition for Palais--Smale Conditions
SIAM Journal on Mathematical Analysis, 1999Let \(\Omega\) be an arbitrary domain in \({\mathbb{R}}^N\), \(N\geq 2\). Denote \(2^*= +\infty\) if \(N=2\), and \(2^*=2N/(N-2)\) for \(N\geq 3\). The paper establishes a necessary and sufficient condition for the Palais-Smale property related to the boundary value problem \(-\Delta u+u=|u|^{p-2}u\) in \(\Omega\), subject to the Dirichlet condition ...
Kuan-Ju Chen, Hwai-chiuan Wang
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On Sufficient Conditions in Nonsmooth Optimization
Mathematics of Operations Research, 1982Second-order conditions are given which are sufficient for a point to be a local minimizer for certain nonlinear programming problems defined on Banach spaces. The functions involved in the problems are not required to be smooth or convex; indeed, they are required only to satisfy certain conditions which are weak enough to be satisfied by all locally
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Sufficient Conditions for the Success of GPS
Journal of the ACM, 1969A formal model of a problem is developed and its relationship to the General Problem Solver (GPS) is discussed. Before GPS can work on a problem it must be given differences, a difference-ordering, and a table of connections, in addition to the specifications of a problem.
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Sufficient Conditions for the Existence of Disintegrations
Journal of Theoretical Probability, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berti P., RIGO, PIETRO
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Sufficient conditions for a sufficient statistic theorem
Economics Letters, 1984Abstract A sufficient statistic theorem for principal-agent relations can be shown under specific integrability conditions.
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On sufficient completeness of conditional specifications
1991We present an algorithm which, given a conditional rewriting system and a set of distinguished operators, guarantees in case of success, that the normal forms of every ground term are primitive, i.e. built only from the distinguished operators. This property is crucial for completeness of definition and very helpful in inductive proofs.
Wadoud Bousdira, Jean-Luc Rémy
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A Problem About Sufficient Conditions
The British Journal for the Philosophy of Science, 1971(I) ... is a sufficient condition for . Hence one would expect the pitfalls and foggy patches of the concept to be well known and copiously discussed. For the most part this is true. Yet there is an obscurity concerning sufficient conditions among distinct existences which, though it arises quite crucially in standard uses which philosophers make of ...
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A sufficient condition for set reconstruction
Ars Comb., 2009Summary: A graph is called set reconstructible if it is determined uniquely (up to isomorphism) by the set of its vertex-deleted subgraphs. We prove that all graphs are set reconstructible if all 2-connected graphs \(G\) with \(\operatorname {diam}(G)=2\) and all 2-connected graphs \(G\) with \(\operatorname {diam}(G)=\operatorname {diam}(\overline G ...
S. Ramachandran, S. Monikandan
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