hyperbolic polar

  • 1Polar decomposition — In mathematics, particularly in linear algebra and functional analysis, the polar decomposition of a matrix or linear operator is a factorization analogous to the polar form of a nonzero complex number z where r is the absolute value of z (a… …

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  • 2Hyperbolic motion — In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and… …

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  • 3Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …

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  • 4Hyperbolic spiral — A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation r theta; = a , and is the inverse to the Archimedean spiral. It begins at an infinite distance from the pole in the centre (for… …

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  • 5Ovoid (polar space) — An ovoid O of a (finite) polar space of rank r is a set of points, such that every subspace of rank r − 1 intersects O in exactly one point. Contents 1 Cases 1.1 Symplectic polar space 1.2 Hermitian polar space …

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  • 6Orbite polaire — Animation montrant une orbite polaire Un satellite en orbite polaire survole les pôles d une planète (ou d un autre corps céleste) à chaque révolution. Il tourne autour d un astre avec une inclinaison élevée – proche de 90 degrés – ce qui le rend …

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  • 7Differential 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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  • 8Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …

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  • 9Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …

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  • 10Kepler orbit — Gravitational attraction is the force that makes the Solar system stick together with the planets orbiting the Sun and the Moon orbiting the Earth. Isaac Newton formulated the physical law for this gravitational attraction which explained Kepler… …

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