Duality (mathematics)
Duality (mathematics) In mathematics, duality has numerous meanings. They are inter-connected ... mostly, without there being a single master duality. Generally speaking, dualities translate concepts, theorems ...
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Duality (mathematics)   (translated from German)
Duality (mathematics) Within many ranges that Mathematics there is the following situation: to each ... See Dual area Set theory: Complementation A duality, with this word one does not designate ...
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Talk:Duality (mathematics)
Talk:Duality (mathematics) Explanation of edit So I put in this explanation -- "Usually duality is associated with some sort of general ... twice retrieves the original object (hence the "duality"). This does not preclude the possibilty that ... I think it conveys the "feeling" behind duality which transcends the categories in place. ...
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Duality
Duality The word duality has a variety of different meanings in ... In several spiritual, religious, and philosophical doctrines, duality refers to a two-fold division also ... of Peru and the Chinese of China, duality is the premise that everything has an ... are considered to be irreducibly distinct. In mathematics, see duality (mathematics). In Knowledge management ...
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Mathematics   (translated from Korean)
Mathematics Mathematics() Sheep, Structure(Abstraction) Space, ChangeIt is a ... The structure of the study which is mathematics does hard science, that with physics it ... similar specially, usual it refers. But, the mathematics leads and general anger and abstraction it ... result spread characteristic of the whole structure. Mathematics it sleeps,Also it listens to ...
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Duality   (translated from German)
Duality The term Duality (Twoness, lat. dualis = "two containing") generally for ... Antagonismus Zweiheitslehren in philosophy, see Dualismus in mathematics for a close relationship between two objects, see Duality (mathematics) in that Stringtheorie a connection of ...
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Stone duality
Stone duality In mathematics, especially in topology and order theory, there ... are usually collected under the label Stone duality, since they form a natural generalization of ... gives pointers to special cases of Stone duality and explains a very general instance thereof ... Stone-type dualities Probably the most general duality which is classically referred to as " ...
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Sheaf (mathematics)
Sheaf (mathematics) In mathematics, a sheaf F on a topological space ... germ of a function used elsewhere in mathematics. Intuitively, the germ of the function f ... and Jean-Pierre Serre, as is Serre duality. 1954 Serre's paper Faisceaux algébriques cohérents ... paper rewrites homological algebra; he proves Grothendieck duality (i.e., Serre duality for possibly ...
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Support (mathematics)
Support (mathematics) In mathematics, the support of a real-valued function ... defined by Henri Cartan. In extending Poincaré duality to manifolds that are not compact, the ... enters naturally on one side of the duality; see for example Alexander-Spanier cohomology. Bredon ...
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Filter (mathematics)
Filter (mathematics) In mathematics, a filter is a special subset of ... with ∨, is ideal. Because of this duality, the discussion of filters usually boils down ...
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