affine set

  • 91Classical unified field theories — Since the 19th century, some physicists have attempted to develop a single theoretical framework that can account for the fundamental forces of nature – a unified field theory. Classical unified field theories are attempts to create a unified… …

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  • 92Verma module — Verma modules, named after Daya Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties …

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  • 93Shape context — is the term given by Serge Belongie and Jitendra Malik to the feature descriptor they first proposed in their paper Matching with Shape Contexts in 2000cite conference author = S. Belongie and J. Malik title = Matching with Shape Contexts url =… …

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  • 94Macdonald polynomials — In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal polynomials in several variables, introduced by Macdonald (1987). Macdonald originally associated his polynomials with weights λ of finite root systems and used just …

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  • 95Dedekind domain — In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily …

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  • 96Reflection (mathematics) — This article is about reflection in geometry. For reflexivity of binary relations, see reflexive relation. A reflection through an axis followed by a reflection across a second axis parallel to the first one results in a total motion which is a… …

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  • 97Information geometry — In mathematics and especially in statistical inference, information geometry is the study of probability and information by way of differential geometry. It reached maturity through the work of Shun ichi Amari in the 1980s, with what is currently …

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  • 98Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… …

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  • 99Beauville–Laszlo theorem — In mathematics, the Beauville–Laszlo theorem is a result in commutative algebra and algebraic geometry that allows one to glue two sheaves over an infinitesimal neighborhood of a point on an algebraic curve. It was proved by Harvard… …

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  • 100Hyperplane — A hyperplane is a concept in geometry. It is a higher dimensional generalization of the concepts of a line in Euclidean plane geometry and a plane in 3 dimensional Euclidean geometry. The most familiar kinds of hyperplane are affine and linear… …

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