self-adjoint

  • 71Mark Krasnosel'skii — Mark Alexandrovich Krasnosel skii (Russian: Марк Александрович Красносельский) (April 27, 1920, Starokostiantyniv – February 13, 1997, Moscow) was a Soviet, Russian and Ukrainian mathematician renowned for his work on nonlinear functional… …

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  • 72Weyl quantization — In mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a quantum mechanical Hermitian operator with a classical kernel function in phase space invertibly. A synonym is phase… …

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  • 73Biconjugate gradient method — In mathematics, more specifically in numerical analysis, the biconjugate gradient method is an algorithm to solve systems of linear equations :A x= b.,Unlike the conjugate gradient method, this algorithm does not require the matrix A to be self… …

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  • 74Frame of a vector space — This article is about a generalization of bases to linearly dependent sets of vectors. For a linearly independent set of vectors, see k frame. In linear algebra, a frame of a vector space V with an inner product can be seen as a generalization of …

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  • 75Affiliated operator — In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that… …

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  • 76Expectation value (quantum mechanics) — In quantum mechanics, the expectation value is the predicted mean value of the result of an experiment. It is a fundamental concept in all areas of quantum physics. Operational definition Quantum physics shows an inherent statistical behaviour:… …

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  • 77Hilbert-Schmidt theorem — In mathematical analysis, the Hilbert Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self adjoint operators on Hilbert spaces. In the theory of partial differential equations, it is …

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  • 78Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …

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  • 79Спектральная теорема — В математике, в частности в линейной алгебре и функциональном анализе, термином спектральная теорема обозначают любой из целого класса результатов о линейных операторах или о матрицах. Не вдаваясь в детали можно сказать, что спектральная теорема… …

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  • 80Dirichlet eigenvalue — In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of… …

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