projective system

  • 81Hopf fibration — In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3 sphere (a hypersphere in four dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it… …

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  • 82Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …

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  • 83General linear group — Group theory Group theory …

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  • 84Line at infinity — Ideal line redirects here. For the ideal line in racing, see Racing line. In geometry and topology, the line at infinity is a line which is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the… …

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  • 85Essential matrix — In computer vision, the essential matrix is a 3 imes 3 matrix mathbf{E} , with some additional properties, which relates corresponding points in stereo images assuming that the cameras satisfy the pinhole camera model.FunctionMore specifically,… …

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  • 86Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… …

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  • 87test — 1. To prove; to try a substance; to determine the chemical nature of a substance by means of reagents. 2. A method of examination, as to determine the presence or absence of a definite disease or of some substance in any of the fluids, tissues,… …

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  • 88n-sphere — 2 sphere wireframe as an orthogonal projection Just as a …

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  • 89Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …

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  • 90Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …

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