• The Lanczos tensor or Lanczos potential is a rank 3 tensor in general relativity that generates the Weyl tensor. It was first introduced by Cornelius...
    12 KB (1,924 words) - 19:16, 18 February 2024
  • Cornelius (Cornel) Lanczos (Hungarian: Lánczos Kornél, pronounced [ˈlaːnt͡soʃ ˈkorneːl]; born as Kornél Lőwy, until 1906: Löwy (Lőwy) Kornél; February...
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  • Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann...
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  • Thumbnail for Gauge theory
    relativity. Its case is somewhat unusual in that the gauge field is a tensor, the Lanczos tensor. Theories of quantum gravity, beginning with gauge gravitation...
    47 KB (6,766 words) - 07:11, 30 October 2024
  • not insurmountable. The Lanczos tensor has a gauge-transformation dynamics similar to that of Curtright. But Lanczos tensor exists only in 4D. In four...
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  • incidentally inventing the Dyson series. The Lanczos tensor is introduced in general relativity by Cornelius Lanczos. Pauli–Villars regularization is first...
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  • \nu }} is the Ricci tensor, R {\displaystyle R} is the Ricci scalar, T μ ν {\displaystyle T_{\mu \nu }} is the energy–momentum tensor, κ = 8 π G / c 4 {\displaystyle...
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  • Thumbnail for Dual graviton
    Einstein's theory. However, Lanczos tensor is a tensor of geometry in D=4, meanwhile Curtright tensor is a field tensor in arbitrary dimensions. Graviton...
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  • flow Laminar sublayer Lamm equation Lamé parameters Lancelot Law Whyte Lanczos tensor Land speed Landau Institute for Theoretical Physics Landau damping Landau...
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  • {\displaystyle C_{\alpha IJ}=0} . This is the desired result. Lanczos tensor Weyl tensor A. Palatini (1919) Deduzione invariantiva delle equazioni gravitazionali...
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  • Kundt (EK classification of symmetries of pp waves) Cornelius Lanczos (Lanczos tensor, Lanczos–van Stockum dust), Lev D. Landau (Landau–Lifshitz formulation...
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  • interpolation Bilinear interpolation Bicubic interpolation Bézier surface Lanczos resampling Delaunay triangulation Bitmap resampling is the application...
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  • theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The spin tensor has application in general...
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  • Thumbnail for Singular value decomposition
    SVD to rather large matrices is in numerical weather prediction, where Lanczos methods are used to estimate the most linearly quickly growing few perturbations...
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  • 1974 "The Variation Method in Quantum Chemistry". (New York: Academic) C Lanczos, The Variational Principles of Mechanics (Dover Publications) R K Nesbet...
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  • mechanics, the eigenvectors of the moment of inertia tensor define the principal axes of a rigid body. The tensor of moment of inertia is a key quantity required...
    102 KB (13,582 words) - 05:47, 26 October 2024
  • according to stress–energy tensor by Einstein field equations and a spacetime form that uses the four-force density tensor that is derived from the covariant...
    66 KB (8,535 words) - 07:58, 17 September 2024
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    may differ from the symmetric tensor used as the source term in general relativity; see Canonical stress–energy tensor.) The conservation of electric...
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    provide a basis for the cotangent space at p. The tensor product (denoted by the symbol ⊗) yields a tensor field of type (0, 2), i.e. the type that expects...
    79 KB (10,620 words) - 19:46, 7 October 2024
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    ISBN 0-7167-0344-0.. These authors use the Lorentz force in tensor form as definer of the electromagnetic tensor F, in turn the fields E and B. I.S. Grant; W.R. Phillips;...
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  • Thumbnail for Hilbert space
    Bachman, Narici & Beckenstein 2000 Stein & Weiss 1971, §IV.2. Lanczos 1988, pp. 212–213 Lanczos 1988, Equation 4-3.10 The classic reference for spectral methods...
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  • Abel's lemma Kronecker's lemma Bramble–Hilbert lemma Céa's lemma Danielson–Lanczos lemma (Fourier transforms) Farkas's lemma (linear programming) Feld–Tai...
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  • 1866, p. 289. Dickson 1914, p. 13. Lanczos 1949, See equation 94.16, page 305. The following algebra compares to Lanczos, except he uses ~ to signify quaternion...
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  • earlier discovery by Cornelius Lanczos in 1924. It is currently recommended that the solution be referred to as the Lanczos–van Stockum dust. One way of...
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  • an open subset of Euclidean space. The metric tensor relative to x is obtained from the metric tensor relative to y by a local calculation having to...
    20 KB (2,599 words) - 17:47, 29 January 2024
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    also second order antisymmetric tensor. The electromagnetic field tensor is another second order antisymmetric tensor field, with six components: three...
    188 KB (25,194 words) - 18:47, 17 November 2024
  • Many numerical methods such as the Lanczos algorithm, Density Matrix Renormalization Group (DMRG), and other tensor network algorithms are relatively easy...
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  • Thumbnail for William Kingdon Clifford
    Hamilton's biquaternions were a tensor product H ⊗ C {\displaystyle H\otimes C} of known algebras, and proposed instead two other tensor products of H: Clifford...
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  • Lanczos algorithm of matrix diagonalization. Another choice is the Arnoldi method, especially when dealing with non-hermitian matrices. The Lanczos algorithm...
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  • Thumbnail for Sinc function
    \right){\big )}.\end{aligned}}} This construction can be used to design Lanczos window for general multidimensional lattices. Some authors, by analogy...
    22 KB (3,054 words) - 03:39, 3 November 2024