Geodesic
Problem of partial identification of unknown medium
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 43-62

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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. 
@article{DVMG_2019_19_1_a6,
     author = {V. G. Nazarov},
     title = {Problem of partial identification of unknown medium},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {43--62},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a6/}
}
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V. G. Nazarov. Problem of partial identification of unknown medium. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 43-62. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a6/