geodesic length

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• Geodesic — [ great circle arcs.] In mathematics, a geodesic IPA|/ˌdʒiəˈdɛsɪk, ˈdisɪk/ [jee uh des ik, dee sik] is a generalization of the notion of a straight line to curved spaces . In presence of a metric, geodesics are defined to be (locally) the… …   Wikipedia

• Geodesic dome — Spaceship Earth at Epcot, Walt Disney World, a geodesic sphere A geodesic dome is a spherical or partial spherical shell structure or lattice shell based on a network of great circles (geodesics) on the surface of a sphere. The geodesics… …   Wikipedia

• Geodesic (general relativity) — This article is about the use of geodesics in general relativity. For the general concept in geometry, see geodesic. General relativity Introduction Mathematical formulation Resources …   Wikipedia

• Geodesic manifold — In mathematics, a geodesic manifold (or geodesically complete manifold) is a surface on which any two points can be joined by a shortest path, called a geodesic.DefinitionLet (M, g) be a (connected) (pseudo ) Riemannian manifold, and let gamma :… …   Wikipedia

• Geodesic curvature — In differential geometry, the geodesic curvature vector is a property of curves in a metric space which reflects the deviance of the curve from following the shortest arc length distance along each infinitesimal segment of its length.The vector… …   Wikipedia

• Geodesic airframe — A geodesic airframe (alternatively, geodetic) is a type of construction for the airframes of aircraft. It makes use of a space frame formed from a spirally crossing basket weave of load bearing membersButtler, p.93] . The principle is that two… …   Wikipedia

• French Geodesic Mission — The French Geodesic Mission (also called the Geodesic Mission to Peru, First Geodesic Mission and the Spanish French Geodesic Mission) was an 18th century expedition to Ecuador carried out for the purpose of measuring the roundness of the Earth… …   Wikipedia

• Prime geodesic — In mathematics, a prime geodesic on a hyperbolic surface is a primitive closed geodesic, i.e. a geodesic which is a closed curve that traces out its image exactly once. Such geodesics are called prime geodesics because, among other things, they… …   Wikipedia

• Complex geodesic — In mathematics, a complex geodesic is a generalization of the notion of geodesic to complex spaces. Definition Let (X, || ||) be a complex Banach space and let B be the open unit ball in X. Let Δ denote the open unit disc in the complex …   Wikipedia

• Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …   Wikipedia

• Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …   Wikipedia