of National Academy of Sciences
of Tajikistan

Reports of the National Academy of Sciences
of Tajikistan

Доклады Академии наук Республики Таджикистан, том 58, №3, 2015 г.

Article title and abstractPages
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Shabozov M.Sh., Davlatbekov F.D.
About the best linear approximation methods of some classes analytical functions in the Hardy space
The exact values n-diameters in some classes of analytical functions in a single circle are found in a metrics of Hardy’s space, the average module of a continuity with weight of boundary r-derivatives values which majorized by the set function. For findings of exact values linear and the helfand of n-diameters is specified as the best linear methods by polynomials approximation.

Key words: n-поперечники; наилучшие линейные методы приближения; модуль непрерывности; мажоранта; пространство Харди; n-widths; best linear approximation methods; the modulus of continuity; majorant; Hardy space.

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Mirzorakhimov Sh.Kh.
Estimation of short Dirichlet character sums by module being cubefree on the sequence of shifted prime numbers
Nontrivial estimation was obtained for sums of values of primitive character module , and is cubefree. On the sequence of shifted numbers , , for and .

Key words: нетривиальная оценка; характер Дирихле; сдвинутые простые числа; короткая сумма характеров; Nontrivial estimation; Dirichlet character; Shifted primes; short character sums.

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Akhmadiev M.G., Khasanov Yu.Kh.
Drawn near methods of the decision integro-differential equations
In work for the numerical decision singular integro-differential equations of the problem diffraction is used method of the mechanical squarings. It is proved that this method is stable for small indignations element aproximating equations.

Key words: приближенные методы; задача дифракции; метод механических квадратур; сингулярные интегро-дифференциальные уравнения; аппроксимирующие уравнения; операторные уравнения; approximate methods; diffraction problem; method of the mechanical squaring; singular and integro-differential equations; aproximating equations; operators equations.

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Karimov O.Kh.
On coercive properties and separability Helmholtz operator
Coercive properties and a separation for Helmholtz operator in space L ( R ) is proved.

Key words: оператор Гельмгольца; коэрцитивное неравенство; разделимость; Helmholtz operator; coercive inequality; separability.

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Okhunov N.K.
The representation formula of solutions of a partial differential equation with two singular ruler
The representation formula for solutions of one partial differential equation with two singular ruler in the form of Fourier - Bessel series is received in the paper.

Key words: оператор Лапласa; сингулярная граничная линия; функции Бесселя; краевая задача; Laplace operator; singular ruler; the Besselis functions; marginal problem.

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Umarov M.A.
About the metric system of tajik poetry
The regularities of forming of sizes in the Tajik-Persian poetry are studied. Using quantitative methods and a new classification way defined parameters that influence the choice of the size of the poem.

Key words: размер стихотворения; аруз; рукн; зихоф; size of the poem; aruz; rukn; zihof.

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Abdulloev S.Kh., Minikulov N.Kh.
Photometry of binary near-earth asteroid (285263) 1998QE2
The photometric observations of potentially hazardous near-Earth binary asteroid (285263) 1998QE2 were carried out during its approach to the Earth in June 2013. The rotation period of binary asteroid was defined which is equal to 4.8 hours. This result coincides almost with the previously found by optical observations period. It should be noted that for near-Earth asteroids, the most accurate determination of the rotational period may be in the case when rotational axis is perpendicular to the light of sight. To clarify the rotation period and find out of physical parameters of asteroid is necessary to conduct additional observations of the asteroid during the next encounter with the Earth in the 2016-2017.

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

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Yusupov I.H., Liechtenstein G.I., Alidodov T.M., Marupov R.
Investigation of the influence of humidity on the molecular dynamics of the spin cotton fiber tags

Key words: спиновая метка; хлопковое волокно; молекулярная структура; ЭПР-спектры; spin label; cotton fiber; molecular structure; the EPR spectra.

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Abdullaev Kh.M., Shaimov E.J., Yuldoshev I.
Heterogeneous of structure and thermal properties of соpolyesters on the basis of poly-ethylene terephthalate, terephthalic acid and hydroquinone
The method small-angle X-roentgenography studies heterogeneous of structure of copolyesters on the basis of the polymeric component - poly-ethylene terephthalate, terephthalic acid and hydroquinone of different composition at cyclic thermal tests. It is shown that change of a relative share of components in a basic chain of copolyesters is accompanied by essential changes in their physical properties and structure in a greater degree at the supramolecular level.

Key words: сополиэфир; гетерогенность; фазовое состояние; циклические тепловые испытания; кристаллизация; малоугловая рентгенограмма; сopolyester; heterogeneity; phase state; cyclic tests; crystallization; small-angle roentgenogram.

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Mamatov E.D., Tagoev M.M., Mirsaidov U.M.
Coking of borosilicate ore of Ak-Arkhar deposit with sodium nitrate
In this article the coking peculiarities of borosilicate ore concentrate with sodium nitrate are presented. Optimum parameters of borosilicate ore coking process are found as a result of this research.

Key words: концентрат боросиликатных руд; переработка; спекание; извлечение; concentrate of borosilicate ore; processing; coking; extraction.

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Juraev T.J., Ismoilov I.R., Jumayev U.A., Gazizova E.R., Muslimov I.Sh.
Phase diagrams and thermodynamics of alloys of magnesium with alkali metals
In this paper the thermodynamic properties of the components of the constructed phase diagrams of immiscible systems Mg-Na, Mg-K, Mg-Rb, Mg-Cs and Mg-Fr in approximation theory of regular solutions are calculated.

Key words: магний; щелочные металлы; диаграммы состояния; термодинамические свойства; константы межчастичного взаимодействия; активность и свободная энергия Гиббса; magnesium; alkali metals; state diagrams; thermodynamic properties; сonstants of interpartial interaction; activity and Gibbs free energy.

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Dzhonmurodov A.S., Teshaev Kh.I., Kholov Sh.E., Usmanova S.R., Muhidinov Z.K., Chau H.K., Liu L.S.
Phisicochemical and hydrodynamic properties of pectic polysaccharides from sunflower
The result of physicochemical properties and hydrodynamics behaviors of pectic polysaccharides obtained by sequential dissolution of pectin fraction by salt, water and acid solution are presented. It’s shown that sunflower pectic polysaccharides obtained thus are different in physicochemical properties, various in hydrodynamic behaviors, molar mass, MMD, size and form of macromolecules.

Key words: физико-химические свойства; гидродинамические свойства; пектиновые полисахариды; молекулярная масса; physicochemical properties; hydrodynamics behaviors; pectic polysaccharides; molar mass.

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Saidov R.Hh., Ganiev I.N., Berdiev A.E., Eshova D.B.
Influence scandi and neodymium on the kinetics Al Sr oxidation of the alloy in the liquid state
By thermogravimetric methods studied the interaction of alloy composition Al Sr, modified scandium and neodymium with oxygen in the temperature range 1373-1473 K in the liquid state. The kinetic parameters of the process of oxidation. It is shown that increasing the content of alloying elements the activation energy of oxidation increases for alloys with scandium from 174 to 191.1 for neodymium alloys - from 140.1 to I43.3 kJ/mol.

Key words: сплав Al Sr; скандий; неодим; термогравиметрический метод; кинетика окисления; истинная скорость окисления; энергия активации; alloy Al Sr; scandium; neodymium; termogravimetric method; oxidation kinetics; the true rate of oxidation; activation energy.

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Shamsudinov Sh.N., Avezov S.A.
Anti-inflammatory effect of dry extract of L
The anti-inflammatory effect of dry extract of Hypericum perforatum L in experimental models of inflammation is studied. It was found that a intragastric administration of dry extract of Hypericum perforatum at a dose of 20 mg/kg body weight has a marked antiinflamation effect. The extract is lowered under the influence of an increased permeability of skin capillaries, reduced growth of formalin, histamine and serotonin edema legs of white rats.

Key words: сухой экстракт зверобоя продырявленного; гистаминовый и серотониновый отёк; dry extract of Hypericum perforatum L; histamine and serotonin edema.

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Kurbonov K.M., Daminova N.M., Gayurov U.H., Nazirboev K.R., Muminov S.
Diagnostics and tactics of treatment of the sharp purulent holangita
The results of complex diagnostics and surgical treatment of 120 patients with a sharp purulent holangit are analysed . It is proved that one of pathogenetic mechanisms end otoksemiya at a sharp purulent holangit increase of level of products is peroksidation and oxidizing stress. It is established that the two-stage quick interventions with use of minilaparotomny access are operations choice at this pathology. Carrying out in the postoperative period of the conservative therapies with intra portal and intrakholedokhealny introduction the antigipoksantnykh and antioxidant preparations allow positively to influence on important ringing pathogenesis of a disease.

Key words: гнойный холанит; эндотоксемия; перекисное окисление липидов; the purulent holangit; an endotoksemiya; perekisly oxidation of lipids.