orthonormal frames

  • 11Orthogonal group — Group theory Group theory …

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  • 12Principal bundle — In mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of a Cartesian product X times; G of a space X with a group G . Analogous to the Cartesian product, a principal bundle P is equipped with… …

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  • 13Frame of reference — A frame of reference in physics, may refer to a coordinate system or set of axes within which to measure the position, orientation, and other properties of objects in it, or it may refer to an observational reference frame tied to the state of… …

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  • 14Levi-Civita symbol — Not to be confused with Levi Civita connection. The Levi Civita symbol, also called the permutation symbol, antisymmetric symbol, or alternating symbol, is a mathematical symbol used in particular in tensor calculus. It is named after the Italian …

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  • 15Minkowski space — A diagram of Minkowski space, showing only two of the three spacelike dimensions. For spacetime graphics, see Minkowski diagram. In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski)… …

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  • 16Curvature of Riemannian manifolds — In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension at least 3 is too complicated to be described by a single number at a given point. Riemann introduced an abstract and rigorous… …

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  • 17Connection form — In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan …

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  • 18Principal curvature — Saddle surface with normal planes in directions of principal curvatures In differential geometry, the two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point. They measure how the surface… …

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  • 19Frame — A frame is a structural system that supports other components of a physical construction. Frame may also refer to:Engineering construction* Framing (construction), a building term known as light frame construction * Frame (vehicle), to which… …

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  • 20Frame of a vector space — This article is about a generalization of bases to linearly dependent sets of vectors. For a linearly independent set of vectors, see k frame. In linear algebra, a frame of a vector space V with an inner product can be seen as a generalization of …

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