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Convergence and Duality

Applied Categorical Structures, 2002
Two important theories are revisited from the point of view of category theory: MV-algebra theory and D-poset theory, both also with respect to probability theory and its applications.
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Duality and Self Duality

1998
The wide use of duality in economics arises from the theoretical insights that it provides and from its usefulness for empirical work. The economic implications of the optimization problem and the restrictions that have to be imposed on functional relations to enable econometric estimation become more transparent in the dual than in the original ...
Ryuzo Sato, Rama V. Ramachandran
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Symmetric Duality via Conjugate Duality

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977
AbstractSymmetric pairs of programming problems involving square roots of quadratic forms have been studied by a number of authors. By applying the methods of conjugate duality theory to generalizations of these problems we readily obtain extensions of most known results guaranteeing duality of this pair.
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Mesh duality and Legendre duality

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1990
Abstract We describe a sense in which mesh duality is equivalent to Legendre duality. That is, a general pair of meshes, which satisfy a definition of duality for meshes, are shown to be the projection of a pair of piecewise linear functions that are dual to each other in the sense of a Legendre dual transformation.
S. Chynoweth   +2 more
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Fehchel duality from LP duality

Mathematische Operationsforschung und Statistik. Series Optimization, 1980
Let f closed - grcoer convex functions. We derive Fenchel duality theorem from LP duality by finding polyhedral approximations f iand g ito f iand g ito fand gsuch that (under the conditions of the Fenchel theorem). (i)the problems to find inf {f i–g iand sup correspond to a pair of mutually dual linear programs. (ii)inf{f i–g i}→{f–g i} and sup . (iii)
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Duality and the Duality Controversy

2011
The technique of pole and polar is applied to the theorems of projective geometry described in Chapter 3, and it shown that new theorems result. This leads to the idea of a duality in the new geometry, in which the words point and line are interchanged, and the adjectives collinear and concurrent are interchanged. This theory can be extended to yield a
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Uniqueness of Dualities

1995
For a commutative ring R we discuss uniqueness of functorial dualities of the category L R of locally compact R-modules (i. e. involutive contravariant endofunctors of L R). Roeder proved that in case R is the ring of integers (i. e. for locally compact abelian groups) Pontryagin duality is the unique functorial duality.
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Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

Journal of High Energy Physics, 2022
Yui Hayashi, Yuya Tanizaki
exaly  

CEO duality, earnings quality and board independence

Journal of Financial Reporting and Accounting, 2023
Sandra Alves
exaly  

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