|
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
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
Citation:
V. G. Nazarov, “Problem of partial identification of unknown medium”, Dal'nevost. Mat. Zh., 19:1 (2019), 43–62
Linking options:
https://www.mathnet.ru/eng/dvmg395 https://www.mathnet.ru/eng/dvmg/v19/i1/p43
|
Statistics & downloads: |
Abstract page: | 289 | Full-text PDF : | 124 | References: | 48 |
|