of National Academy of Sciences
of Tajikistan

Reports of the National Academy of Sciences
of Tajikistan

Доклады Академии наук Республики Таджикистан, том 60, №9, 2017 г.

Article title and abstractPages
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Rakhmonov Z.Kh.
About estimation of the sum the values of Dirichlet character in a sequence of shifted primes
The non-trivial estimate of the form has been obtained for the sum of the values of non-principal character over the sequence of shifted primes, when if and , which denotes the modulo of primitive character induced by character , is a cube-free number.

Key words: характер Дирихле; сдвинутые простые числа; короткая сумма характеров; тригонометрические суммы с простыми числами; Dirichlet character; shifted primes; short sums of characters; exponential sums over primes.

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Nurubloev M.
Mixed problem for system of higher-order equations of composite type in four-dimensional space
In this work, an initial-boundary (mixed) problem for a system of higher- order equations of a composite type in four-dimensional space is investigated. It is showed that the posed problem has a unique solution.

Key words: смешанная задача; итерация; система уравнений составного типа; характеристическая форма; mixed problem; iteration; system of equations of composite type; characteristic form.

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Usmanov Z.D.
Tuning the algorithm of the clasifier of discrete random variables
We consider a one-parameter mathematical model to a clusterizer of discrete random variables and tune it according to the training sample data, distributed by classes, in order to determine the optimal value of the parameter. We calculate the efficiency index of the calibrated clusterizer, that allows to assess the possibility of using it as a classifier.

Key words: дискретная случайная величина; метрика; кластеризатор; классификатор; discrete random variable; metric; clusterizer; classifier.

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Kosimov A.A.
About the minimum volume of the text, necessary for the identification of its author
By applying a metric classifier, it was possible to identify authors of the descending sequence of text fragments from a value of 10,000 words up to 625 words.

Key words: таджикский язык; N-грамма; метрика; классификатор; Tajik language; N-gramm; metrics; classifier.

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Kabilov M.M., Sadriddinov P.B., Gulboev B.J., Kholov O.A.
Mathematical model filtration combustion of gases in the similarity of the distribution of temperature and concentration
The one temperature mathematical model of dissemination stationary waves of filtration combustion of gases in the similarity distribution temperature and concentration of the missing component is considered. The relation between the functions of temperature and concentration, and the equation for numerical calculation of the temperature distribution is obtained. Numerical calculations are carried out for different compositions of the acidity - air mixture gases and long their affects on the characteristics of the waves. We have investigated the dependence of waves speed, equilibrium temperature, the characteristic sire of the zone of combustion and the diffusion coefficient of the missing component of the speed of the injection gas.

Key words: температура среды; скорость волны; численный метод; скорость химической реакции; фильтрационное горение газов; волны горения; уравнение энергии; число Льюиса; пористая среда; the temperature of the environment; wave speed; numerical method; the rate of comical reactions; filtration combustion of gases; the combustion wave; the energy equation; the number of Lewis; porous medium.

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Kokhirova G.I., Abdulloev S.Kh., Khamroev U.Kh., Ayubov D.K.
Asteroid (2469) Tajikistan during the minimal distance from the earth in 2015
The astrometric and photometric observations of asteroid (2469) Tajikistan were carried out in 16-21August 2015 during its minimal distance from the Earth. The object’s coordinates were determined, the light curve was constructed, the rotation period was found, the geometrical features, surface square and mass were estimated .

Key words: астероид; астрометрия; фотометрия; координаты; кривая блеска; период вращения; asteroid; astrometry; photometry; coordinates; light curve; period of rotation.

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Qurboniyon M.S., Kholmurodov Kh.T., Rahimi F.
Quantum-mechanical simulation of and ferromagnetics in the framework of density functional theory
In paper in the framework of the density functional theory have been investigated the ferromagnetic materials RbNiF and CsNiF . The electron energy bands as a function of the points of the Brillouin zones are determined together with the density of states of individual atoms and the total density of states of the unit cells of the above mentioned ferromagnets. Simulation in the framework of the density functional theory taking into account the spin-orbit and spin-polarized couplings is realized with utilization of the program package WIEN2k.

Key words: теория функционала плотности; спин; плотность состояний; приближение локальной плотности; density functional theory; spin; density of states; approximation of local density.

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Nizomov Z., Saidov R.H., Avezov Z.I., Sharipov J.G.
Influence of magnesium on the thermal properties of the alloyS Zn5Al and Zn55Al
The dependence of the temperature of the alloys Zn5Al and Zn55Al doped with magnesium from cooling time is invwstigated. Characteristic times and cooling rate of the first and second processes are defined. The contributions of thermal radiation and convective exchange in the cooling of alloys are evaluated.

Key words: сплавы; охлаждение; щелочноземельные металлы; alloys; cooling; alkaline earth metals.

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Soliev L., Jumaev M.T., Turaev R.O.
Solubility in the system NaSo-NaCo-NaHCO-HO at 0°С temperature
In manuscript the investigation of solubility at invariant points in the system NaSO-NaCO-NaHCO-HO at 0°С is presented. The solubility diagram of the title system is modeled according to the evidences obtained.

Key words: растворимость; равновесие; жидкая фаза; твёрдая фаза; химический анализ; кристаллооптический анализ; нонвариантные точки; диаграмма; геометрические образы; solubility; balance; liquid phase; firm phase; chemical analysis; cristallooptical the analysis; invariant of a point; diagram; geometrical images.

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Ikromova D.N., Dzhonmurodov A.S., Usmanova S.R., Muhidinov Z.K., Abdulaev A., Gulmamad C., Djumaev B.B.
Some physico-chemical characteristics of oligosaccharides from
In the article the methods of purification of the oligosaccharide obtained from roots of Eremurus hissaricus growing in the “Siyakuh” high mountain biological stations and Dushanbe by gel filtration on Sephadex G-100 and ion-exchange chromatography on DEAE-cellulose are present. The method of FT-IR spectroscopy showed that oligosaccharides E.hissaricus comprising of mannose in beta configuration and belong to the glycomanan oligosaccharides.

Key words: эремурус гиссарский; олигосахариды; гель-фильтрация; ионообменная хроматография; ИК-Фурье спектры; E. hissaricus; oligosaccharides; gel filtration; ion-exchange chromatography; FT-IR spectra.

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Kurbonov A.S., Nazarov F.A., Yakubov Z.T., Nazarov Sh.B., Mirsaidov U.M.
Kinetics of the sintering process of the burnt borosilicate concentrate with NaOH
The research results of the decomposition of a prebaked borosilicate concentrate with sodium hydroxide by the sintering method are presented and the kinetics of the decomposition process is determined.

Key words: боросиликатный концентрат; переработка; спекание; кинетика; энергия активации; borosilicate concentrate; processing; sintering; - kinetics; energy activation.

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Karambakhshov Kh.Z., Bobomulloev M.G., Safarova Z.A., Mobarez M.H., Samikhov Sh.R., Safarov S.Sh.
Analysis and restoration of copper coins from Mes-Aynak archaeological site (Afganistan)
In this paper the method of chemical cleaning series of copper coins by using formic acid, elemental analysis by using atomic-adsorption spectroscopy and emission spectroscopy are presented. Results of survey described in table as images of 10 coins before and after restoration for Cu. Sn, Pb. Zn by using mentioned methods.

Key words: медные монеты; химическая очистка; химический состав; атомно-адсорбционная спектроскопия; эмиссионная спектроскопия; copper coins; chemical cleaning; chemical composition; atomic -adsorption spectroscopy; emission spectroscopy.

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Nazarov Kh.M., Ermatov K.A., Muminov S.V., Bahronov S., Mirsaidov I.U.
Radon exposure estimation in the territory of B.Gafurov district of the Republic of Tajikistan
In the article the results of volumetric activity of radon on the surface of tailings and dumps, as well as in residential houses and public buildings in the territory of B.Gafurov district of the Republic of Tajikistan are presented.

Key words: радон; мониторинг; мощность эквивалентной дозы; плотность потока радона; эксхаляция; хвостохранилища; radon; monitoring; equivalent dose rate; radon flux density; exhalation; tailing dumps.

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Mirakov M.A., Fayziev A.R., Pautov L.A.
Native selenium in the products of underground fire of Fan-Yagnnob coal deposit (Central Tajikistan)
In the products of the underground fire of the Fan-Yagnob coal deposit in the Kukhi-Malik tract, native selenium has been found and described.

Key words: селен; Фан-Ягнобское угольное месторождение; подземный пожар; минерал; кристалл; продукты возгонки; Selenium; Fan-Yagnob coal deposit; underground fire; mineral; crystal; sublimation product.

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Yakubova D.Sh.
New data about species of the subfamily of Staphylininae (Coleoptera, Staphylinidae) in Tajikistan
In this article the new data on specific structure, distribution and ecological features of species of bugs of a subfamily of Staphylininae of Tajikistan are presented.

Key words: Таджикистан; Staphylininae; Gabrius; Rabigus; Bisnius; Creophilus; Staphylinus; Ontholestes; Tajikistan; Staphylininae; Gabrius; Rabigus; Bisnius; Creophilus; Staphylinus; Ontholestes.