abstract manifold

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• Manifold System — is a geographic information system (GIS) software package developed by manifold.net that runs only on Microsoft Windows. Manifold System handles both vector and raster data, includes spatial SQL, a built in Internet Map Server (IMS), and other… …   Wikipedia

• Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …   Wikipedia

• Abstract nonsense — Abstract nonsense, or general abstract nonsense, alternatively general nonsense, is a popular term used by mathematicians to describe certain kinds of arguments and concepts in category theory or applications.HistoryThe term predates the… …   Wikipedia

• Manifold — 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),… …   Wikipedia

• Abstract polytope — In mathematics, an abstract polytope is a combinatorial structure with properties similar to those shared by a more classical polytope. Abstract polytopes correspond to the structures of polygons, polyhedra, tessellations of the plane and higher… …   Wikipedia

• Manifold Destiny — For the car engine cookbook, see Manifold Destiny (cookbook). Manifold Destiny is an article in The New Yorker written by Sylvia Nasar and David Gruber and published in the August 28, 2006 issue of the magazine.[1] It gives a detailed account… …   Wikipedia

• Manifold (disambiguation) — Contents 1 Science and engineering 2 Media 3 Software 4 Pl …   Wikipedia

• Abstract variety — In mathematics, in the field of algebraic geometry, the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space (Hassler… …   Wikipedia

• CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… …   Wikipedia

• Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

• Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… …   Wikipedia