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On the Monge-Kantorovitch Duality Theorem

Theory of Probability and Its Applications, 2001
Summary: The Monge-Kantorovitch duality theorem has a variety of applications in probability theory, statistics, and mathematical economics. There has been extensive work to establish the duality theorem under general conditions. By imposing a natural stability requirement on the Monge-Kantorovitch functional, we characterize the probability spaces ...
L Rüschendorf, D Ramachandran
exaly   +4 more sources

Theorems of the Alternative and Duality

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dax, A., Sreedharan, V. P.
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DISCONTINUOUS DUALITY THEOREM

International Journal of Mathematics, 2007
For a Lie group G and a subset H of G, Kobayashi [4] introduced the concept of the discontinuous dual of H as the set consisting of the subsets in G which are proper with H. Here, properness is a generalization of properly discontinuous actions. Kobayashi posed in the millenium volume [5] whether the discontinuous dual of H determines H uniquely up to
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Dualities and the duality density theorems

manuscripta mathematica, 2009
Dualities\({\langle,\, \rangle:S \times T \rightarrow K}\) for modules S = R S, T = TD and bimodule K = RKD over rings R, D are non-degenerate left dense K-pairings of S, T intertwined per adjoint, classification, and Galois correspondence theorems. Dualities are abundant per density theorems inspired by those of Jacobson and Chevalley.
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A Duality Theorem for Convex Programs

IBM Journal of Research and Development, 1960
A proof is given for a duality theorem for a class of convex programs, i.e., constrained minimization of convex functions. A simple example is included.
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Different duality theorems

Ars Comb., 2013
Summary: Given a (directed) graph \(G=(V,A)\), the induced subgraph of \(G\) by a subset \(X\) of \(V\) is denoted by \(G[X]\). A graph \(G=(V,A)\) is a tournament if for any distinct vertices \(x\) and \(y\) of \(G\), \(G[\{x,y\}]\) possesses a single arc. With each graph \(G=(V,A)\) associate its dual \(G^\star =(V,A^\star)\) defined as follows: for \
Ille, Pierre, Boussaïri, Abderrahim
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A duality theorem for graph embeddings

Journal of Graph Theory, 1981
AbstractA generalized type of graph covering, called a “Wrapped quasicovering” (wqc) is defined. If K, L are graphs dually embedded in an orientable surface S, then we may lift these embeddings to embeddings of dual graphs K̃,L̃ in orientable surfaces S̃, such that S̃ are branched covers of S and the restrictions of the branched coverings to K̃,L̃ are ...
Brad Jackson   +2 more
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A duality theorem

Studia Logica, 1978
For a sufficiently large class of formal systems a duality theorem is proved. We consider such formal set theoriesT [2] which, at least, satisfy the following conditions:
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A duality theorem

2018
This chapter presents a duality theorem providing, for each geometric theory, a natural bijection between its geometric theory extensions (also called ‘quotients’) and the subtoposes of its classifying topos. Two different proofs of this theorem are provided, one relying on the theory of classifying toposes and the other, of purely syntactic nature ...
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A Duality Theorem for Reidemeister Torsion

The Annals of Mathematics, 1962
[a, pf] = [a, f]P, where [a, f ] denotes the value of the function f at a. If A is free and finitely generated, then clearly A* is free and finitely generated, and A* * can be identified with A. Note that any homomorphism h: A, -* A2 gives rise to a dual homomorphism h*: A* -+ A*. As an example consider the following geometrical situation.
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