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Gauss map

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  • Gauss map — In differential geometry, the Gauss map (named after Carl F. Gauss) maps a surface in Euclidean space R3 to the unit sphere S 2. Namely, given a surface X lying in R3, the Gauss map is a continuous map N : X → S 2 such that N ( p ) is a unit… …   Wikipedia

  • Gauss–Kuzmin–Wirsing operator — GKW redirects here. For the Indian engineering firm see Guest Keen Williams.In mathematics, the Gauss–Kuzmin–Wirsing operator occurs in the study of continued fractions; it is also related to the Riemann zeta function. IntroductionThe… …   Wikipedia

  • Gauss–Codazzi equations — In Riemannian geometry, the Gauss–Codazzi–Mainardi equations are fundamental equations in the theory of embedded hypersurfaces in a Euclidean space, and more generally submanifolds of Riemannian manifolds. They also have applications for embedded …   Wikipedia

  • Gauss, Carl Friedrich — orig. Johann Friedrich Carl Gauss born April 30, 1777, Brunswick, Duchy of Brunswick died Feb. 23, 1855, Göttingen, Hanover German mathematician, astronomer, and physicist. Born to poor parents, he was a prodigy of astounding depth. By his early… …   Universalium

  • Gauss's lemma (Riemannian geometry) — In Riemannian geometry, Gauss s lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let M be a Riemannian manifold, equipped with its… …   Wikipedia

  • Gauss's lemma (number theory) — This article is about Gauss s lemma in number theory. Gauss s lemma (polynomial) concerns factoring polynomials. Gauss s lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally …   Wikipedia

  • Gauss pseudospectral method — The Gauss Pseudospectral Method (abbreviated GPM ) is a direct transcription method for discretizing a continuous optimal control problem into a nonlinear program (NLP). The Gauss pseudospectral method differs from several other pseudospectral… …   Wikipedia

  • Gauss-Krüger coordinate system — In cartography, the term Gauss Krüger, named after Carl Friedrich Gauss and Johann Heinrich Louis Krüger, is used in three slightly different ways. * Often, it is just a synonym for the transverse Mercator map projection. Another synonym is Gauss …   Wikipedia

  • Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other …   Wikipedia

  • List of topics named after Carl Friedrich Gauss — Carl Friedrich Gauss (1777 ndash; 1855) is the eponym of all of the topics listed below. Topics including Gauss *Carl Friedrich Gauss Prize, a mathematics award *Degaussing, to demagnetize an object *Gauss (unit), a unit of magnetic field (B)… …   Wikipedia

  • Exponential map — In differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis to all differentiable manifolds with an affine connection. Two important special cases of this are the exponential map …   Wikipedia

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