definition and theorem of order theory can readily be transferred to the dual order. Formally, this is captured by the Duality Principle for ordered sets:...
4 KB (457 words) - 00:47, 21 September 2023
S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum field theories or string...
20 KB (2,501 words) - 13:50, 2 May 2025
transpose, inverse, opposite, or converse. Duality (order theory), duality principle for ordered sets Order dual (functional analysis), set of all differences...
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In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite...
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real number line Antichain Strict order Hasse diagram Directed acyclic graph Duality (order theory) Product order Greatest element (maximum, top, unit)...
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Duality principle or principle of duality may refer to: Duality (projective geometry) Duality (order theory) Duality principle (Boolean algebra) Duality...
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Dual abelian variety Dual basis Dual (category theory) Dual code Duality (electrical engineering) Duality (optimization) Dualizing module Dualizing sheaf...
53 KB (6,694 words) - 15:44, 28 January 2025
Look up duality in Wiktionary, the free dictionary. Duality may refer to: Duality (mathematics), a mathematical concept Dual (category theory), a formalization...
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found that apparently distinct theories could be unified by mathematical transformations called S-duality and T-duality. Witten's conjecture was based...
62 KB (7,721 words) - 19:26, 23 May 2025
found in the article on duality in order theory. There are many ways to construct orders out of given orders. The dual order is one example. Another important...
31 KB (4,510 words) - 13:16, 14 April 2025
Dual-coding theory is a theory of cognition that suggests that the mind processes information along two different channels; verbal and nonverbal. It was...
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nontrivial way. Two theories related by a duality need not be string theories. For example, Montonen–Olive duality is an example of an S-duality relationship...
122 KB (15,295 words) - 05:10, 31 May 2025
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives...
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Montonen–Olive duality or electric–magnetic duality is the oldest known example of strong–weak duality or S-duality according to current terminology. It...
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duality and explains a very general instance thereof in detail. Probably the most general duality that is classically referred to as "Stone duality"...
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In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...
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In psychology, a dual process theory provides an account of how thought can arise in two different ways, or as a result of two different processes. Often...
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by the concept of a dual matroid. Variations of planar graph duality include a version of duality for directed graphs, and duality for graphs embedded...
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topology Dual wavelet Duality (optimization) Duality (order theory) Duality of stereotype spaces Duality (projective geometry) Duality theory for distributive...
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In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly...
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theorem Compactness theorem Consensus theorem De Morgan's laws Duality (order theory) Laws of classical logic Peirce's law Stone's representation theorem...
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coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as...
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In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which...
39 KB (5,827 words) - 21:00, 25 May 2025
In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions...
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Converse relation (redirect from Inverse relation (set theory))
Transitive relation#Related properties. Duality (order theory) – Term in the mathematical area of order theory Transpose graph – Directed graph with reversed...
13 KB (1,725 words) - 07:43, 7 October 2024
versions of superstring theory were unified, as long hoped, by new equivalences. These are known as S-duality, T-duality, U-duality, mirror symmetry, and...
34 KB (4,201 words) - 23:23, 13 March 2025
In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is...
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AdS/CFT correspondence (redirect from AdS/CFT duality)
theories. Much of the usefulness of the duality results from the fact that it is a strong–weak duality: when the fields of the quantum field theory are...
54 KB (6,680 words) - 21:45, 25 May 2025
double-aspect theory is the view that the mental and the physical are two aspects of, or perspectives on, the same substance. It is also called dual-aspect monism...
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ten-dimensional spacetime, then a complication arises due to the self-duality of the RR fluxes. The duality uses the Hodge star, which depends on the metric and so...
23 KB (3,013 words) - 19:17, 21 November 2024