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# abstract duality

мат.
абстрактная двойственность

English-Russian scientific dictionary. 2008.

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• Abstract index notation — is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis. The indices are mere placeholders, not related to any fixed basis, and in particular are non… …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

• Duality (CoPs) — This article is about Dualities in Communities of practice . For other uses of Duality, see Duality (disambiguation). In the context of a Community of practice the notion of a duality is used to capture the idea of the tension between two… …   Wikipedia

• Abstract polytope — In mathematics, an abstract polytope is a combinatorial structure with properties similar to those shared by a more classical polytope. Abstract polytopes correspond to the structures of polygons, polyhedra, tessellations of the plane and higher… …   Wikipedia

• Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… …   Wikipedia

• Schur–Weyl duality — is a mathematical theorem in representation theory that relates irreducible finite dimensional representations of the general linear and symmetric groups. It is named after two pioneers of representation theory of Lie groups, Issai Schur, who… …   Wikipedia

• Mathematical economics — Economics …   Wikipedia

• Dual polyhedron — The dual of a cube is an octahedron, shown here with vertices at the cube face centers …   Wikipedia

• Claude Lemaréchal — is a French applied mathematician. In mathematical optimization, Claude Lemaréchal is known for his work in numerical methods for nonlinear optimization, especially for problems with nondifferentiable kinks. Lemaréchal and Phil. Wolfe pioneered… …   Wikipedia

• Evil twin — Evil twins are antagonists found in many different fictional genres. They are physical copies of protagonists, but with radically inverted moralities. In filmed entertainment, they can have obvious physical differences with the protagonist such… …   Wikipedia

• Lagrange multiplier — Figure 1: Find x and y to maximize f(x,y) subject to a constraint (shown in red) g(x,y) = c …   Wikipedia

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