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...

Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian...

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...

decomposition Generalized polygon Mostow rigidity Coxeter complex Weyl distance function https://www.ams.org/journals/proc/1998-126-07/S0002-9939-98-044...

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...

theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β(g), encodes the dependence of a coupling parameter, g,...

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...

square with a Weyl sequence. This method produces high-quality output through a long period. Most computer programming languages include functions or library...

University Press, 2012). Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210...

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...

{\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...

g}}\,g^{ij}{\frac {\partial }{\partial \xi ^{j}}}\right),} from the Voss-Weyl formula for the divergence. In spherical coordinates in N dimensions, with...

The theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space C n {\displaystyle...

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...

operators. The real functions correspond to the Hermitian operators. The function f ( ξ ) {\displaystyle f(\xi )} is called Weyl's symbol of operator f...

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...

Shape is a Snowflake? Magical Numbers in Nature. Weidenfeld & Nicolson. Weyl, Hermann (1982) [1952]. Symmetry. Princeton: Princeton University Press....

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...

finite-dimensional semisimple Lie algebras. In particular they have a Weyl group, Weyl character formula, Cartan subalgebra, roots, weights, and so on. A...

takes a function as input then outputs another function that describes the extent to which various frequencies are present in the original function. The...

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...

transformation, vector space homomorphism, or in some contexts linear function) is a mapping V → W {\displaystyle V\to W} between two vector spaces that...

{\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...

potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it corresponds to a potential which is zero...

free dictionary. Plane-wave expansion Rectilinear propagation Wave equation Weyl expansion Brekhovskikh, L. (1980). Waves in Layered Media (2 ed.). New York:...

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...

ideas of Hermann Weyl from the spectral theory of ordinary differential equations, Harish-Chandra introduced his celebrated c-function c(λ) to describe...

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...

number of distances between two points, hence there is no infinite sequence of movements, and the paradox is resolved. According to Hermann Weyl, the assumption...

homogeneous spaces derived from the Coxeter group (so, for example, the Weyl groups of simple Lie algebras). The traditional statement of Huygens' principle...