coordinate axes

  • 51Proper acceleration — [Edwin F. Taylor John Archibald Wheeler (1966 1st ed. only) Spacetime Physics (W.H. Freeman, San Francisco) ISBN 0 7167 0336 X] is the physical acceleration experienced by an object. It equals the rate of change of proper velocity with respect to …

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  • 52Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …

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  • 53Helmert transformation — The Helmert transformation (named after Friedrich Robert Helmert, 1843 ndash;1917; also called a seven parameter transformation) is a transformation method within a three dimensional space. It is frequently used in geodesy to produce distortion… …

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  • 54Axis-aligned object — In mathematics, an axis aligned object (axis parallel, axis oriented) is an object in n dimensional space whose shape is aligned with the coordinate axes of the space. Examples are axis aligned rectangles (or hyperrectangles), the ones with edges …

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  • 55Camera matrix — In computer vision a camera matrix or (camera) projection matrix is a 3 imes 4 matrix which describes the mapping of a pinhole camera from 3D points in the world to 2D points in an image.Let mathbf{x} be a representation of a 3D point in… …

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  • 56Chebyshev distance — This article is about the finite dimensional vector space distance. For the function space norm, see uniform norm. a b c d e f g h …

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  • 57ZOOMQ3D — is a numerical finite difference model, which simulates groundwater flow in aquifers. The program is used by hydrogeologists to investigate groundwater resources and to make predictions about possible future changes in their quantity and quality …

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  • 58Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …

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  • 59Gyration tensor — The gyration tensor is a tensor that describes the second moments of position of a collection of particles :S {mn} stackrel{mathrm{def{=} frac{1}{N}sum {i=1}^{N} r {m}^{(i)} r {n}^{(i)}where r {m}^{(i)} is the mathrm{m^{th Cartesian coordinate of …

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  • 60Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …

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