947 resultados para symmetric orthogonal polynomials
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Thesis (M.S.)--University of Illinois.
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Bibliography: p. 24.
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"July 30, 1958"
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Mode of access: Internet.
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"(This is being submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics, June 1959.)"
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"Prepared for the Air Force Ballistic Missile Division, Headquarters Air Research and Development Command, under Contract AF 04(647)-309, Advanced Propulsion Systems."
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Mode of access: Internet.
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At head of title: NBS Project 8440-11-84141.
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"Reprinted from the Transactions of the Royal Society of Canada, 3d ser., 1908-1909, v.2, sect.3."
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Title within double ruled border; text within single rule border on every page, with double rule at top and bottom of page. The texts are arranged in six columns, along two pages.
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Thesis (Ph.D.)--University of Washington, 2016-06
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Thesis (Ph.D.)--University of Washington, 2016-06
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Thesis (Ph.D.)--University of Washington, 2016-06
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We find necessary and sufficient conditions for completing an arbitrary 2 by n latin rectangle to an n by n symmetric latin square, for completing an arbitrary 2 by n latin rectangle to an n by n unipotent symmetric latin square, and for completing an arbitrary 1 by n latin rectangle to an n by n idempotent symmetric latin square. Equivalently, we prove necessary and sufficient conditions for the existence of an (n - 1)-edge colouring of K-n (n even), and for an n-edge colouring of K-n (n odd) in which the colours assigned to the edges incident with two vertices are specified in advance.
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We give a detailed exposition of the theory of decompositions of linearised polynomials, using a well-known connection with skew-polynomial rings with zero derivative. It is known that there is a one-to-one correspondence between decompositions of linearised polynomials and sub-linearised polynomials. This correspondence leads to a formula for the number of indecomposable sub-linearised polynomials of given degree over a finite field. We also show how to extend existing factorisation algorithms over skew-polynomial rings to decompose sub-linearised polynomials without asymptotic cost.