• In combinatorial geometry, the Weyl distance function is a function that behaves in some ways like the distance function of a metric space, but instead...
    6 KB (1,072 words) - 15:19, 21 May 2015
  • Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian...
    16 KB (2,839 words) - 10:57, 31 March 2025
  • formula Weyl distance function Weyl equation, a relativistic wave equation Weyl expansion Weyl fermion Weyl gauge Weyl gravity Weyl group Length of a Weyl group...
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  • decomposition Generalized polygon Mostow rigidity Coxeter complex Weyl distance function https://www.ams.org/journals/proc/1998-126-07/S0002-9939-98-044...
    26 KB (3,216 words) - 07:56, 13 May 2025
  • In philosophy, Weyl's tile argument, introduced by Hermann Weyl in 1949, is an argument against the notion that physical space is "discrete", as if composed...
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  • Weyl group contains a subgroup of order 128·8! consisting of all permutations of the coordinates and all even sign changes. This subgroup is the Weyl...
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  • operators. The real functions correspond to the Hermitian operators. The function f ( ξ ) {\displaystyle f(\xi )} is called Weyl's symbol of operator f...
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  • Laplace operator (category Harmonic functions)
    g}}\,g^{ij}{\frac {\partial }{\partial \xi ^{j}}}\right),} from the Voss-Weyl formula for the divergence. In spherical coordinates in N dimensions, with...
    31 KB (4,697 words) - 22:49, 2 August 2025
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    University Press, 2012). Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210...
    75 KB (12,488 words) - 23:57, 29 July 2025
  • Thumbnail for Beta function (physics)
    theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β(g), encodes the dependence of a coupling parameter, g,...
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  • Thumbnail for Hilbert space
    this function is a distance function means firstly that it is symmetric in x {\displaystyle x} and y , {\displaystyle y,} secondly that the distance between...
    128 KB (17,476 words) - 20:44, 30 July 2025
  • Thumbnail for Random number generation
    square with a Weyl sequence. This method produces high-quality output through a long period. Most computer programming languages include functions or library...
    36 KB (4,424 words) - 00:46, 16 July 2025
  • {\displaystyle \Delta } denote the usual Laplace operator. Weyl's lemma states that if a locally integrable function u ∈ L l o c 1 ( Ω ) {\displaystyle u\in L_{\mathrm...
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  • ingredients, namely kernels K {\displaystyle K} and distances d {\displaystyle d} . Here by a distance function between each pair of elements of some set X {\displaystyle...
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  • Thumbnail for Fourier transform
    takes a function as input then outputs another function that describes the extent to which various frequencies are present in the original function. The...
    177 KB (21,320 words) - 20:50, 1 August 2025
  • potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it corresponds to a potential which is zero...
    17 KB (2,721 words) - 07:49, 24 April 2025
  • finite-dimensional semisimple Lie algebras. In particular they have a Weyl group, Weyl character formula, Cartan subalgebra, roots, weights, and so on. A...
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  • Thumbnail for Reflection symmetry
    Shape is a Snowflake? Magical Numbers in Nature. Weidenfeld & Nicolson. Weyl, Hermann (1982) [1952]. Symmetry. Princeton: Princeton University Press....
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  • {\displaystyle \Omega (x)} is a function on spacetime. The simplest theory in this category has the square of the Weyl tensor as the Lagrangian S = ∫ d...
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  • Thumbnail for Convolution
    a mathematical operation on two functions f {\displaystyle f} and g {\displaystyle g} that produces a third function f ∗ g {\displaystyle f*g} , as the...
    67 KB (8,808 words) - 13:56, 1 August 2025
  • Thumbnail for Quantum entanglement
    phenomenon that would later be called entanglement. That same year, Hermann Weyl observed in his textbook on group theory and quantum mechanics that quantum...
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  • comoving distance from which light emitted in the past could reach the observer at a given time. For events that occur beyond that distance, light has...
    29 KB (3,590 words) - 02:37, 17 July 2025
  • (probably to better distinguish from elements w {\displaystyle w} of the Weyl group, than the usual notation ω {\displaystyle \omega } ). The lemniscate...
    12 KB (1,252 words) - 01:11, 7 July 2025
  • Thumbnail for Conformally flat manifold
    {\displaystyle \textstyle 1-{2GM}/{r}} . Weyl–Schouten theorem Conformal geometry Yamabe problem Ray D'Inverno. "6.13 The Weyl tensor". Introducing Einstein's...
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  • Differential forms on a Riemann surface (category Harmonic functions)
    Historical note. Weyl (1913) proved the existence of the harmonic function u by giving a direct proof of Dirichlet's principle. In Weyl (1940), he presented...
    78 KB (11,073 words) - 19:06, 30 July 2025
  • transformation, vector space homomorphism, or in some contexts linear function) is a mapping V → W {\displaystyle V\to W} between two vector spaces that...
    43 KB (7,006 words) - 23:36, 28 July 2025
  • Thumbnail for Coordinate system
    coordinate of a point P is defined as the signed distance from O to P, where the signed distance is the distance taken as positive or negative depending on...
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  • ideas of Hermann Weyl from the spectral theory of ordinary differential equations, Harish-Chandra introduced his celebrated c-function c(λ) to describe...
    67 KB (11,769 words) - 12:17, 18 April 2025
  • Thumbnail for Gauge fixing
    Gauge fixing (redirect from Weyl gauge)
    be beneficial in specific situations have appeared in the literature. The Weyl gauge (also known as the Hamiltonian or temporal gauge) is an incomplete...
    28 KB (4,276 words) - 12:06, 3 June 2025
  • Thumbnail for Radar
    signal for longer ranges (about 100 km (62 miles)). Distance may also be measured as a function of time. The radar mile is the time it takes for a radar...
    103 KB (12,058 words) - 03:19, 19 July 2025