of National Academy of Sciences
of Tajikistan

News of the National Academy of Sciences of Tajikistan.
Department of physical, mathematical, chemical, geological and technical sciences

Известия Академии наук Республики Таджикистан. Отделение физико-математических, химических, геологических и технических наук, №3, 2013 г.

Article title and abstractPages
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Rakhmonov Z.Kh., Qamaradinova Z.N.
An asymptotic formula for the Riesz mean of the divisor function extended over the values of ternary cubic form
An asymptotic formula has been derived for the Riesz mean with the weight , of the divisor function extended over the values of ternary cubic form , . Namely an asymptotic formula has been derived for the sum for , .

Ключевые слова: асимптотическая формула; тернарная кубическая форма; производящий ряд Дирихле; экспонента Карлсона; средний Рисса; asymptotic formula; ternary cubic form; Dirichlet generating series; Carleson exponential; Riesz mean.

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Tukhliev K.
About the best approximation of entire functions in space. I
An extremal problem on the best mean-square approximation of functions with integer functions of exponential type . The exact inequalities between the magnitudes of best approximation and integrals with the special modules of continuity of order related to Stecklov’s operator founded. For the -widths were calculated the exact mean values formulated by G.G.Magaril-Ilyaev for the classes functions satisfying the condition where – generalized modulus of continuity order derivative , – the arbitrary increasing function

Ключевые слова: наилучшие приближения; модуль непрерывности m-го порядка; неравенство Джексона-Стечкина; целая функция экспоненциального типа; средние v-поперечники; the best approximation; modulus of continuity of m-order; Jakson-Stechkin type inequality; entire function of exponential type; the mean of v-widths.

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Ismatov N.M.
Mixed of problems for the vibrations string of equation with functional conditions
In the paper for vibrations string of equation with functional conditions establish existence and uniqueness classical solutione of I-III mixeds problems.

Ключевые слова: уравнение колебаний струны; смешанная задача с функциональным условием; собственные функции; коэффициенты Фурье; mixed of problem; vibrations string of equation; existence and uniqueness of classical solution.

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Normantas V.
Informativity of letters within a word
The concept of mutual information has been used to calculate informativity of letters at each position within words of known length. First the straightforward method to calculate the mutual information is presented, then a significantly simpler method is derived due to the fact that there is no uncertainty about letters of a known word. Word frequencies collected from corpora of four natural languages (English, Lithuanian, Russian, Tajik) and one constructed language (Esperanto) have been used for statistical study of letter informativity. The results appear to display two patterns which are consistent through all studied languages and word lengths: the second letter carries significantly less information comparing to the first and the third letters; informativity of letters tends to gradually decrease past the middle of the word.

Ключевые слова: взаимная информация; информативность букв; теория информаций; mutual information; letter informativity; information theory.

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Abdullaev S.F., Maslov V.A., Kurbonov N.B., Abdurasulova N.A., Nazarov B.I., Madvaliev U.
Monitoring of atmospheric radiation in Dushanbe by ground-based measuring complex
The results of the study of variation of global and diffuse radiation and surface albedo obtained in Dushanbe from ground measurement system for monitoring atmospheric radiation. The system will design for long-term continuous monitoring of the radiative properties of the atmosphere and create a database of solar radiation measurements in a wide spectral range.

Ключевые слова: глобальная радиация; диффузная радиация; альбедо поверхности; оптическая толщина аэрозоля; global radiation; diffuse radiation; albedo; aerosol optical depth.

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Isobaev M.D., Pulatov E.H., Abdullaev T.H., Turdialiev M.Z., Davlatnazarova M., Mingboev Sh.A.
Kinetics of the thermal decomposition of highmolecular fraction of the coal
The process of thermal decomposition of highmolecular fraction of the coal-from field "Ziddi" in order to identify common thermodynamic situation of the process was investigated. 7 separate gas fractions were obtained in the temperature range 200-600ºC. Temperature was gradient ∆T = 20ºC. Correlation of the data of fractional composition of gases with data on GLC. Were done kinetic parameters and the free energy of activation of the process were obtained. The total wolume of the produced gas per 1 kg of coal is not less than 260 dm (StP).

Ключевые слова: термическое разложение угля; месторождение «Зидды»; кинетика; газовая хроматография; константы скорости; thermal decomposition of coal; from field "Ziddi"; kinetics; gas chromatography; the rate konstant.

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Khojibaev Y., Rakhmonov R.O., Zoidova M.T., Kukaniev M.A., De Angelis Francesco
Synthesis and асеlation of 2-butilamino-6-p-bromоfenylimidazo-[2,1-b]-1,3,4 thiadiazole
In article we reported about the synthesis of new derivatives of condensed thiadiazoles - 2-butyl- and (6-p-bromphenyl-[2,1-b]-1,3,4-thiadiazolo-2-yl)-N-butylamid acetic acid by nucleophilic substitution reaction of 2-bromo-6-n-bromphenylimidazo-[2,1-b] -1,3,4-thiadiazole with butylamine and acylation of 2-butilamino -6-p-bromphenylimidazo-[2,1-b]-1,3,4-thiadiazole with acetic anhydride and determination the structure of heterocycles by IR - spectroscopy and elemental analysis.

Ключевые слова: 2-бром-6-n-бромфенилимидазо-[2,1-b]-1,3,4-тиадиазола; нуклеофильное замещение; бутиламин; 2-бутиламин-6-n-бромфенилимидазо-[2,1-b]-1,3,4-тиадиазол; ангидрид уксусной кислоты; (6-п-бромфенилимидазо-[2,1-b]-1,3,4-тиадиазол-2-ил)-N-бутиламидуксусной кислоты; валентное колебание; 2-bromo-6-p-phenylimidazo-[2,1-b]-1,3,4-thiadiazole; nucleophilic substation; 2-buthilamine; 2-buthilamine-6-p-bromphenyl-[2,1-b]-1,3,4-thiadiazole; acetic anhydride; (6-p-bromphenyl-[2,1-b]-1,3,4-thiadiazolo-2-yl)-N-butylamid acetic acid; stretching vibration.

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Kholnazarov B.M., Bobiev G.M., Shakhmatov A.N., Buniatian N.D.
The development of composition of new injection medicamental form of thymogar
There was developed the new composition of injection medicamental form of thymogar that is guarantee the painlessnessof it's introduction and containing the thymogar and novocaine hydrochloride.

Ключевые слова: тимогар; состав; новокаина гидрохлорид; thymogar; composition; novocaine hydrochloride.

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Vohidov M.M., Murodiyon A., Azizov B.S., Murodiyon P.
The main properties of cold-rammed bottom mass aluminum ceiis
Experimental results determination properties of cold-rammed bottom mass have gotten one base of Nazarayloks anthracite are shown. Main regularities of structure formation of packed cold-rammed bottom mixture are studied. Possibility of adjusting mixture properties and volume-linear changes during roasting via nature and degree of stuff heat treatment, component composition of mixture, granulometric composition of charge material. Usage of basic technological regularities allows to obtain cold-rammed bottom mixture with preset qualitative parameters.

Ключевые слова: антрацит; холоднонабивная подовая масса; набойка; обжиг; прокалка; электролизёр; кальцинатор; anthracite; cold-rammed bottom mass; pressing; burnt; heating; electrolyzers; calcinator.

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Samikhov S.H.R., Zinchenko Z.A., Shermatov N.
Mathematical modeling of the chloride sublimation burn of Chore’s deposit concentrate
On base experienced data, is offered mathematical model of the determination degree extractions given component at chloride sublimation concoction deposit Chore.

Ключевые слова: руды; золото; извлечение; температура; матрица; регрессия; эмпирическая формула; константы; ore; gold; recovery; temperature; matrix; regression; empirical formula; constant.

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Rakhimov Kh.A., Abulkhaev V.D., Ganiev I.N., Ubaydov S.O.
Magnetic properties of alloys of Gd Bi -Tm Bi system
The abstract comprises the results of investigation of magnetic properties of solid solutions which have been formed in the Gd Bi -Tm Bi system. Crystallochemical investigations have shown, that solid solutions of the Gd Bi -Tm Bi system crystallizes in rombic Y Bi structural type. Values of Curie temperatures and magnetic moment of Gd , Tm ions was defined.

Ключевые слова: сплавы; диаграмма состояния; твёрдые растворы; температура Кюри; магнитная восприимчивость; магнитные моменты; alloys; state diagram; solid solutions; Curie temperatures; magnetic susceptibility; magnetic moment.

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Vazirov N.Sh., Ganiev I.N., Norova M.T., Makhsudova M.S.
Corrosion-electrochemical behavior of alloy AMg6, cerium doped
Potentiodynamic method studied the corrosion-electrochemical behavior of alloys of the Al-Mg-Ce in the environment of the electrolyte NaCl is shown that doping with cerium reduces the rate of corrosion of alloys is 2-3 times depending on the concentration of the electrolyte.

Ключевые слова: потенциал свободной коррозии; сплав AМг6; церий; скорость коррозии; концентрация электролита; NaCl; анодные поляризационные кривые; free corrosion potential; AMg6 alloy; corrosion rate; cerium; concentration of electrolyte; NaCl; anodic polarization curves.

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Mamadvafoev M.M., Dischuk Y.I.
Geology and gold presence perspectives of Pindar deposit (Central Tajikistan)
The article provides general data of the deposit, history of its investigation, features of its geological structure, distribution of ore bodies and ore-accompanying metasomatites, staging of mineralization, material constitution of ores, lithochemical aureoles, expected resources and gold reserves.

Ключевые слова: месторождение Пиндар; рудоносный штокверк; литохимические поиски; ореолы мышьяка и золота; прогнозные ресурсы золота; Pindar deposit; ore-bearing ore fold lithochemical prospecting; arsenic and gold aureoles; expected resources and gold reserves.

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Kolchin A.N., Fayziev A.R.
The main elements of the mesozoic and cenozoic structure Kanimansur ore field
Describes the main Alpine (post-ore) faults Kanimansur ore field, located in the Lower Permian Adrasman volcano-tectonic depression.

Ключевые слова: разлом; рудное поле; альпийские нарушения; мульда; штокверк; fault; ore field; alpine violations; mold; stockwork.

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Karimov Kh.S., Faisal Khan M., Mahmood Khan, Mahmood Sarwar, Adnan Qaiser M., Zohaib Hassan M., Salman Hafeez, Kabutov Z.Q.
Monitoring of photo-voltaic module properties and environmental parameters
It is described a monitoring of photo-voltaic module properties and environmental parameters. The wireless computerized monitoring was realized in Pakistan (Topi city). In Tajikistan (Dushanbe city) the data were obtained in the spot.

Ключевые слова: фотоэлектрический модуль; мониторинг фотоэлектрического модуля; электрический ток; электрическое напряжение; электрическая мощность; температура окружающей среды; интенсивность солнечного излучения; скорость ветра; the photo-electric module; monitoring of the photo-electric module; an electric current; electric pressure; electric capacity; air temperature; intensity of sunlight; speed of a wind.

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