relation of orthogonality

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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

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• 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

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• Vibration — For the soul music group, see The Vibrations. For the machining context, see Machining vibrations. For the albums, see Vibrations (Roy Ayers album) and Vibrations (The Three Sounds album). Classical mechanics …   Wikipedia

• Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

• Hermite polynomials — In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical… …   Wikipedia