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...
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Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian...
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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...
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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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E8 lattice (section Theta function)
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...
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Spherical harmonics (redirect from Spheroidal function)
University Press, 2012). Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210...
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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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Hilbert space (section Spaces of holomorphic functions)
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...
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Random number generation (redirect from Randomization function)
square with a Weyl sequence. This method produces high-quality output through a long period. Most computer programming languages include functions or library...
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{\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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Positive-definite kernel (redirect from Kernel function)
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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takes a function as input then outputs another function that describes the extent to which various frequencies are present in the original function. The...
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Delta potential (redirect from Delta function potential)
potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it corresponds to a potential which is zero...
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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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Reflection symmetry (section Symmetric function)
Shape is a Snowflake? Magical Numbers in Nature. Weidenfeld & Nicolson. Weyl, Hermann (1982) [1952]. Symmetry. Princeton: Princeton University Press....
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Conformal gravity (section Weyl-squared theories)
{\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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Convolution (redirect from Convolution of functions)
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...
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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...
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(probably to better distinguish from elements w {\displaystyle w} of the Weyl group, than the usual notation ω {\displaystyle \omega } ). The lemniscate...
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{\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...
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Linear map (redirect from Linear extension of a function)
transformation, vector space homomorphism, or in some contexts linear function) is a mapping V → W {\displaystyle V\to W} between two vector spaces that...
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Coordinate system (redirect from Negative distance)
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...
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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...
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Radar (redirect from Radar distance measurement)
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...
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