dual tangent

dual tangent
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English-Russian scientific dictionary. 2008.

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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

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

  • 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

  • Tangent space — In mathematics, the tangent space of a manifold is a concept which facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector pointing from… …   Wikipedia

  • Dual bundle — In mathematics, the dual bundle of a vector bundle π : E → X is a vector bundle π* : E* → X whose fibers are the dual spaces to the fibers of E. The dual bundle can be constructed using the associated bundle construction by taking the… …   Wikipedia

  • Zariski tangent space — In algebraic geometry, the Zariski tangent space is a construction that defines a tangent space, at a point P on an algebraic variety V (and more generally). It does not use differential calculus, being based directly on abstract algebra, and in… …   Wikipedia

  • Espace tangent (géométrie algébrique) — En géométrie algébrique, on peut définir la notion d espace tangent (de Zariski) sans faire (explicitement) de calcul différentiel. C est en quelque sorte une première approximation de la structure locale du schéma. Sommaire 1 Définition pour un… …   Wikipédia en Français

  • Cône tangent — En mathématiques, le cône tangent est l approximation au premier ordre d un ensemble en un point, comme l application dérivée d une fonction est son approximation au premier ordre en un point. Cette notion est, par exemple, utilisée en… …   Wikipédia en Français

  • 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

  • Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

  • Conditions d'optimalité (dimension finie) — En optimisation mathématique, les conditions d optimalité sont un ensemble d équations, d inéquations (i.e., des inégalités) et d expressions diverses (e.g., la semi définie positivité de matrices sur des cônes) vérifiées par une solution d un… …   Wikipédia en Français


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