geodesic equation

geodesic equation
мат. геодезическое уравнение

Большой англо-русский и русско-английский словарь. 2001.

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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 (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 grid — A geodesic grid is a technique used to model the surface of a sphere (the Earth) with a subdivided polyhedron, usually an icosahedron.IntroductionWhen modeling the weather, ocean circulation, or the climate, partial differential equations are… …   Wikipedia

  • Geodesic deviation equation — In differential geometry, the geodesic deviation equation is an equation involving the Riemann curvature tensor, which measures the change in separation of neighbouring geodesics. In the language of mechanics it measures the rate of relative… …   Wikipedia

  • Equation solving — In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions contain one or more unknowns, which are… …   Wikipedia

  • Solving the geodesic equations — is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity, that results in obtaining geodesics. Physically, these represent the paths of (usually ideal) particles with no proper… …   Wikipedia

  • Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia

  • Raychaudhuri equation — In general relativity, Raychaudhuri s equation is a fundamental result describing the motion of nearby bits of matter.The equation is important as a fundamental lemma for the Penrose Hawking singularity theorems and for the study of exact… …   Wikipedia

  • Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …   Wikipedia

  • Hunter–Saxton equation — In mathematical physics, the Hunter–Saxton equationHunter Saxton 1991] :(u t + u u x) x = frac{1}{2} , u x^2is an integrable PDE that arises in the theoretical study of nematic liquid crystals. If the molecules in the liquid crystal are initially …   Wikipedia

  • Theoretical motivation for general relativity — A Theoretical motivation for general relativity, including the motivation for the geodesic equation and the Einstein field equation, can be obtained from special relativity by examining the dynamics of particles in circular orbits about the earth …   Wikipedia


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