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Dal'nevost. Mat. Zh., 2019, Volume 19, Number 1, Pages 43–62 (Mi dvmg395)  

Problem of partial identification of unknown medium

V. G. Nazarov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

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.

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UDC: 519.65
MSC: 97M50
Received: 26.02.2019

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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