Powerful amicable numbers
Paul Pollack (2011)
Colloquium Mathematicae
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Paul Pollack (2011)
Colloquium Mathematicae
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M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)
Applicationes Mathematicae
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Jerzy Pogonowski (2018)
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
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Tłumaczenie
Claude Le Bris, Anthony T. Patera (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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Heinz Neudecker (2004)
SORT
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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.
Heinz Neudecker (2000)
Qüestiió
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In this note a uniform transparent presentation of the scalar Haffian will be given. Some well-known results will be generalized. A link will be established between the scalar Haffian and the derivative matrix as developed by Magnus and Neudecker.
Heinz Neudecker (1989)
Qüestiió
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A matrix derivation of a well-known representation theorem for (tr A) is given, which is the solution of a restricted maximization problem. The paper further gives a solution of the corresponding restricted minimization problem.
B. Kussová (1971)
Acta Universitatis Carolinae. Mathematica et Physica
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Jorma Kaarlo Merikoski, Ari Virtanen (1992)
Czechoslovak Mathematical Journal
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Witold Mozgawa, Magdalena Skrzypiec (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Some properties of secantoptics of ovals defined by Skrzypiec in 2008 were proved by Mozgawa and Skrzypiec in 2009. In this paper we generalize to this case results obtained by Cieslak, Miernowski and Mozgawa in 1996 and derive an integral formula for an annulus bounded by a given oval and its secantoptic. We describe the change of the area bounded by a secantoptic and find the differential equation for this function. We finish with some examples illustrating the above results. ...
Michael Levin (2009)
Fundamenta Mathematicae
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We prove a Z-set unknotting theorem for Nöbeling spaces.