orthogonality relation

orthogonality relation
мат. отношение ортогональности

Большой англо-русский и русско-английский словарь. 2001.

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  • orthogonality — noun 1. the relation of opposition between things at right angles • Syn: ↑perpendicularity, ↑orthogonal opposition • Derivationally related forms: ↑perpendicular (for: ↑perpendicularity) • …   Useful english dictionary

  • Schur orthogonality relations — In mathematics, the Schur orthogonality relations express a central fact about representations of finite groups. They admit a generalization to the case of compact groups in general, and in particular compact Lie groups, such as the rotation… …   Wikipedia

  • Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… …   Wikipedia

  • Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia

  • Character table — Main article: Character theory In group theory, a character table is a two dimensional table whose rows correspond to irreducible group representations, and whose columns correspond to classes of group elements. The entries consist of characters …   Wikipedia

  • Clebsch–Gordan coefficients — In physics, the Clebsch–Gordan coefficients are sets of numbers that arise in angular momentum coupling under the laws of quantum mechanics. In more mathematical terms, the CG coefficients are used in representation theory, particularly of… …   Wikipedia

  • Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… …   Wikipedia

  • Clebsch-Gordan coefficients — In physics, the Clebsch Gordan coefficients are sets of numbers that arise in angular momentum coupling under the laws of quantum mechanics. In more mathematical terms, the CG coefficients are used in representation theory, particularly of… …   Wikipedia

  • 6-j symbol — Wigner s 6 j symbols were introduced by Eugene Paul Wigner in 1940, and published in 1965.They are related to Racah s W coefficientsby: egin{Bmatrix} j 1 j 2 j 3 j 4 j 5 j 6 end{Bmatrix} = ( 1)^{j 1+j 2+j 4+j 5}W(j 1j 2j 5j 4;j 3j 6).They have… …   Wikipedia

  • 9-j symbol — Wigner s 9 j symbols were introduced by Eugene Paul Wigner in 1937. They are related to recoupling coefficientsinvolving four angular momenta: [(2j 3+1)(2j 6+1)(2j 7+1)(2j 8+1)] ^frac{1}{2} egin{Bmatrix} j 1 j 2 j 3 j 4 j 5 j 6 j 7 j 8 j 9… …   Wikipedia

  • Galerkin method — In mathematics, in the area of numerical analysis, Galerkin methods are a class of methods for converting a continuous operator problem (such as a differential equation) to a discrete problem. In principle, it is the equivalent of applying the… …   Wikipedia


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