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dual set of equations

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  • Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… …   Wikipedia

  • Équations — Équation (mathématiques)  Cet article concerne les équations mathématiques dans leur généralité. Pour une introduction au concept, voir Équation (mathématiques élémentaires).   …   Wikipédia en Français

  • Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… …   Wikipedia

  • Maxwell's equations — For thermodynamic relations, see Maxwell relations. Electromagnetism …   Wikipedia

  • Dehn–Sommerville equations — In mathematics, the Dehn–Sommerville equations are a complete set of linear relations between the numbers of faces of different dimension of a simplicial polytope. For polytopes of dimension 4 and 5, they were found by Max Dehn in 1905. Their… …   Wikipedia

  • Nahm equations — The Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward s twistor construction of monopoles. The Nahm equations are formally analogous to the… …   Wikipedia

  • Knizhnik-Zamolodchikov equations — In mathematical physics the Knizhnik Zamolodchikov equations are a set of additional constraints satisfied by the correlation functions of the conformal field theory associated with an affine Lie algebra at a fixed level. They form a system of… …   Wikipedia

  • Hodge dual — In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite dimensional oriented inner product space. Contents 1 Dimensions and… …   Wikipedia

  • Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

  • Okishio's theorem — is a mathematical theorem formulated by Japanese economist Nobuo Okishio. It has had a major impact on debates about Marx s theory of value. Intuitively, it can be understood as saying that if one capitalist raises his profits by introducing a… …   Wikipedia

  • Integrable system — In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems. In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In… …   Wikipedia

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