spherical neighborhood

  • 1List of spherical objects in the Solar System — In 2006, the International Astronomical Union defined a planet as a body in orbit around the Sun that was large enough to have achieved hydrostatic equilibrium and to have cleared its neighborhood of similar sized objects.cite press release… …

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  • 2Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …

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  • 3Optical aberration — v · d · e Optical aberration …

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  • 4Normal coordinates — In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space… …

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  • 5Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …

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  • 6Polyhedral space — In mathematics, specifically in metric geometry, a polyhedral space is a certain metric space. A (Euclidean) polyhedral space is a (usually finite) simplicial complex in which every simplex has a flat metric. (Other spaces of interest are… …

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  • 7Gauss' law for gravity — In physics, Gauss law for gravity, also known as Gauss flux theorem for gravity, is a law of physics which is essentially equivalent to Newton s law of universal gravitation. Its form is mathematically similar to Gauss law for electricity; in… …

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  • 8Inventions in medieval Islam — A significant number of inventions were developed in the medieval Islamic world, a geopolitical region that has at various times extended from Al Andalus and Africa in the west to the Indian subcontinent and Malay Archipelago in the east.… …

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  • 9Introduction to general relativity — General relativity (GR) is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915. According to general relativity, the observed gravitational attraction between masses results from the warping of space and time by… …

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  • 10Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …

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