• 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...
    13 KB (1,297 words) - 11:07, 3 November 2024
  • 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...
    10 KB (1,742 words) - 17:55, 29 January 2024
  • 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...
    6 KB (786 words) - 02:41, 13 January 2024
  • incidentally inventing the Dyson series. The Lanczos tensor is introduced in general relativity by Cornelius Lanczos. Pauli–Villars regularization is first...
    9 KB (841 words) - 17:04, 16 June 2024
  • \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...
    11 KB (2,008 words) - 12:52, 26 August 2024
  • 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...
    17 KB (2,720 words) - 11:24, 1 August 2024
  • flow Laminar sublayer Lamm equation Lamé parameters Lancelot Law Whyte Lanczos tensor Land speed Landau Institute for Theoretical Physics Landau damping Landau...
    18 KB (2,064 words) - 23:14, 7 October 2024
  • {\displaystyle C_{\alpha IJ}=0} . This is the desired result. Lanczos tensor Weyl tensor A. Palatini (1919) Deduzione invariantiva delle equazioni gravitazionali...
    19 KB (4,656 words) - 15:37, 28 October 2023
  • Kundt (EK classification of symmetries of pp waves) Cornelius Lanczos (Lanczos tensor, Lanczos–van Stockum dust), Lev D. Landau (Landau–Lifshitz formulation...
    20 KB (1,819 words) - 15:56, 2 July 2024
  • interpolation Bilinear interpolation Bicubic interpolation Bézier surface Lanczos resampling Delaunay triangulation Bitmap resampling is the application...
    5 KB (706 words) - 14:56, 23 May 2024
  • 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...
    6 KB (881 words) - 11:10, 3 July 2024
  • 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...
    88 KB (14,051 words) - 19:20, 17 November 2024
  • 1974 "The Variation Method in Quantum Chemistry". (New York: Academic) C Lanczos, The Variational Principles of Mechanics (Dover Publications) R K Nesbet...
    5 KB (494 words) - 17:06, 5 February 2024
  • 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
  • Thumbnail for Noether's theorem
    may differ from the symmetric tensor used as the source term in general relativity; see Canonical stress–energy tensor.) The conservation of electric...
    66 KB (10,947 words) - 17:29, 20 September 2024
  • Thumbnail for Lorentz force
    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;...
    60 KB (8,548 words) - 03:11, 20 October 2024
  • 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...
    128 KB (17,481 words) - 23:15, 6 November 2024
  • 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...
    23 KB (3,234 words) - 01:51, 9 May 2024
  • Thumbnail for Minkowski space
    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
  • 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...
    11 KB (2,068 words) - 18:38, 22 May 2024
  • Abel's lemma Kronecker's lemma Bramble–Hilbert lemma Céa's lemma Danielson–Lanczos lemma (Fourier transforms) Farkas's lemma (linear programming) Feld–Tai...
    8 KB (524 words) - 11:06, 2 August 2024
  • 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
  • Thumbnail for Special relativity
    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...
    6 KB (764 words) - 18:46, 11 September 2024
  • 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...
    37 KB (4,225 words) - 22:37, 15 September 2024
  • Lanczos algorithm of matrix diagonalization. Another choice is the Arnoldi method, especially when dealing with non-hermitian matrices. The Lanczos algorithm...
    20 KB (3,481 words) - 21:32, 18 September 2024
  • 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