- geometric duality
- мат. геометрическая двойственность
Большой англо-русский и русско-английский словарь. 2001.
geometric duality
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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
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Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… … Wikipedia
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Poincaré duality — In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n dimensional compact oriented manifold, then the k th… … Wikipedia
Comparison of vector algebra and geometric algebra — Vector algebra and geometric algebra are alternative approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical… … Wikipedia
Lefschetz duality — In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary. Such a formulation was introduced by Solomon Lefschetz in the 1920s, at the same time introducing relative homology,… … Wikipedia
principle of duality — a principle in projective geometry: from a geometric theorem another theorem may be derived by substituting in the original theorem the word point for the word line in the case of a point or line in the plane or the word point for the word plane… … Useful english dictionary
Dual polygon — In geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other. Contents 1 Properties 2 Kinds of duality 2.1 Rectification … Wikipedia
Matrix representation of conic sections — In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren t parallel to our … Wikipedia
Compressed suffix array — The Compressed Suffix Array[1][2] is a compressed data structure for pattern matching. Given a text T of n characters from an alphabet Σ, the compressed suffix array support searching for arbitrary patterns in T. For an input pattern P of m… … Wikipedia
