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Dal'nevostochnyi Matematicheskii Zhurnal, 2019, Volume 19, Number 1, Pages 43–62 (Mi dvmg395)  

This article is cited in 4 scientific papers (total in 4 papers)

Problem of partial identification of unknown medium

V. G. Nazarov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
References:
Abstract: The paper deals with the problem of partial identification of an unknown medium chemical composition by the method of repeated scanning of this medium by collimated x-ray flux. A mathematical model for the problem of identification is formulated and its comparison with the task of finding the chemical composition of the medium carried out. A method for solving the problem of identification is based on the construction of a special function, called the indicator of distinguishability of substances. By way of illustration, results of calculations performed for various specific groups of chemical elements are presented.
Key words: radiography of a continuous medium, identification the chemical composition of a substance, singular value decomposition, calculation accuracy.
Received: 26.02.2019
Document Type: Article
UDC: 519.65
MSC: 97M50
Language: Russian
Citation: V. G. Nazarov, “Problem of partial identification of unknown medium”, Dal'nevost. Mat. Zh., 19:1 (2019), 43–62
Citation in format AMSBIB
\Bibitem{Naz19}
\by V.~G.~Nazarov
\paper Problem of partial identification of unknown medium
\jour Dal'nevost. Mat. Zh.
\yr 2019
\vol 19
\issue 1
\pages 43--62
\mathnet{http://mi.mathnet.ru/dvmg395}
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  • https://www.mathnet.ru/eng/dvmg395
  • https://www.mathnet.ru/eng/dvmg/v19/i1/p43
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дальневосточный математический журнал
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