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parallel vectors

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  • Parallel — may refer to: Mathematics and science * Parallel (geometry) * Parallel (latitude), an imaginary east west line circling a globe Proper name * Parallel (manga), a shōnen manga by Toshihiko Kobayashi * Parallel (video), a video album by R.E.M. *… …   Wikipedia

  • Parallel transport — In geometry, parallel transport is a way of transporting geometrical data along smooth curves in a manifold. If the manifold is equipped with an affine connection (a covariant derivative or connection on the tangent bundle), then this connection… …   Wikipedia

  • Parallel computing — Programming paradigms Agent oriented Automata based Component based Flow based Pipelined Concatenative Concurrent computing …   Wikipedia

  • Affine 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… …   Wikipedia

  • Classical Hamiltonian quaternions — For the history of quaternions see:history of quaternions For a more general treatment of quaternions see:quaternions William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton s original treatment …   Wikipedia

  • Fourth dimension — [ tesseract rotating around a plane in 4D.] In physics and mathematics, a sequence of n numbers can be understood as a location in an n dimensional space. When n =4, the set of all such locations is called 4 dimensional space, or, colloquially,… …   Wikipedia

  • Portable, Extensible Toolkit for Scientific Computation — infobox software name = PETSc latest release version = 2.3.3 latest release date = 23 May 2007 operating system = Linux, Unix, Mac OS X, Windows license = own compatible with [GNU General Public Licenc [e|GPL (version 2)] language = C (main… …   Wikipedia

  • Surface normal — Normal vector redirects here. For a normalized vector, or vector of length one, see unit vector. A polygon and two of its normal vectors …   Wikipedia

  • Lagrange multipliers — In mathematical optimization problems, the method of Lagrange multipliers, named after Joseph Louis Lagrange, is a method for finding the extrema of a function of several variables subject to one or more constraints; it is the basic tool in… …   Wikipedia

  • Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

  • Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …   Wikipedia

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