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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 313–317
DOI: https://doi.org/10.14498/vsgtu816 (Mi vsgtu816) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communication
Calculus Mathematics

On One Property of the Weighed Sums of Equal Powers as Matrix Products

A. I. Nikonov

Dept. of Electronic Systems and Information Security, Samara State Technical University, Samara
Full-text PDF (135 kB) Citations (5)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu816
Abstract: Finite sum of weighted sum of equal powers is represented in matrix form. This is expressed by the presence of two matrix components, the first of which does not contain, and the second contains the specified weights. It is significant that if the maximum power grounds in the amounts of this type has a value of no less important exponent related to its term, the first matrix component is the same for all amounts that meet the specified condition. Revealed common property of the matrix representation used to obtain the modified final sum from the increased number of weights.
Keywords: finite sum of the weighed equal powers, weight factors, matrix component, modified finite sum.
Original article submitted 07/VII/2010
revision submitted – 30/IX/2010
Bibliographic databases:
Document Type: Article
UDC: 512.14
MSC: 11C20, 05A10
Language: Russian
Citation: A. I. Nikonov, “On One Property of the Weighed Sums of Equal Powers as Matrix Products”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 313–317
Citation in format AMSBIB
\Bibitem{Nik10}
\by A.~I.~Nikonov
\paper On One Property of the Weighed Sums of Equal Powers as Matrix Products
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 313--317
\mathnet{http://mi.mathnet.ru/vsgtu816}
\crossref{https://doi.org/10.14498/vsgtu816}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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