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88
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JAMDS
2002
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14 years 9 months ago
A simple proof of Suzumura's extension theorem for finite domains with applications
Abstract. In this paper we provide a simple proof of the extension theorem for partial orderings due to Suzumura [1983] when the domain of the partial order is finite. The extensio...
Somdeb Lahiri
92
Voted
ORDER
2002
154views more  ORDER 2002»
14 years 9 months ago
Polyadic Concept Analysis
The framework and the basic results of Wille on triadic concept analysis, including his Basic Theorem of Triadic Concept Analysis, are here generalized to n-dimensional formal cont...
George Voutsadakis
80
Voted
ORDER
2002
87views more  ORDER 2002»
14 years 9 months ago
Posets on up to 16 Points
In this article we describe a very efficient method to construct pairwise nonisomorphic posets (equivalently, T0 topologies). We also give the results obtained by a computer progr...
Gunnar Brinkmann, Brendan D. McKay
70
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ORDER
2002
90views more  ORDER 2002»
14 years 9 months ago
The Priestley Separation Axiom for Scattered Spaces
Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in th...
Guram Bezhanishvili, Ray Mines, Patrick J. Morandi
MOC
2002
90views more  MOC 2002»
14 years 9 months ago
Derivative superconvergent points in finite element solutions of harmonic functions--- A theoretical justification
Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. All superconvergent points for the finite element space of an...
Zhimin Zhang