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hyperbolic structure

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  • Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall …   Wikipedia

  • Hyperbolic set — In mathematics, a subset of a manifold is said to have hyperbolic structure with rspect to a map f , when its tangent bundle may be split into two invariant subbundles, one of which is contracting, and the other expanding with respect to f .… …   Wikipedia

  • Hyperbolic manifold — In mathematics, a hyperbolic n manifold is a complete Riemannian n manifold of constant sectional curvature 1. Its thick thin decomposition has a thin part consisting of tubular neighborhoods of closed geodesics and/or ends which are the product… …   Wikipedia

  • Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… …   Wikipedia

  • Hyperbolic equilibrium point — In mathematics, especially in the study of dynamical system, a hyperbolic equilibrium point or hyperbolic fixed point is a special type of fixed point.The Hartman Grobman theorem states that the orbit structure of a dynamical system in the… …   Wikipedia

  • Hyperbolic group — In group theory, a hyperbolic group, also known as a word hyperbolic group, Gromov hyperbolic group, negatively curved group is a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic… …   Wikipedia

  • Hyperbolic coordinates — In mathematics, hyperbolic coordinates are a useful method of locating points in Quadrant I of the Cartesian plane :{(x, y) : x > 0, y > 0 } = Q !.Hyperbolic coordinates take values in :HP = {(u, v) : u in mathbb{R}, v > 0 }.For (x,y) in Q take… …   Wikipedia

  • Hyperbolic tree — In Web development jargon and information visualization, a hyperbolic tree (often shortened as hypertree) defines a visualization method for a graph inspired by hyperbolic geometry.Displaying hierarchical data as a tree suffers from visual… …   Wikipedia

  • Hyperboloid structure — Hyperboloid structures are architectural structures designed with hyperboloid geometry. Often these are tall structures such as towers where the hyperboloid geometry s structural strength is used to support an object high off the ground, but… …   Wikipedia

  • Tensile structure — A tensile structure is a construction of elements carrying only tension and no compression or bending. The term tensile should not be confused with tensegrity, which is a structural form with both tension and compression elements.Most tensile… …   Wikipedia

  • Causal structure — This article is about the possible causal relationships among points in a Lorentzian manifold. For classification of Lorentzian manifolds according to the types of causal structures they admit, see Causality conditions. In mathematical physics,… …   Wikipedia

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