SINGULAR POINTS FOR THE SUM OF A SERIES OF EXPONENTIAL MONOMIALS

A problem of distribution of singular points for sums of series of exponential monomials on the boundary of its convergence domain is studied. The influence of a multiple sequence Λ = {λk, nk}_(∞;k=1) of the series in the presence of singular points on the arc of the boundary, the ends of which are located at a certain distance R from each other, is investigated. In this regard, the condensation indices of the sequence and the relative multiplicity of its points are considered. It is proved that the finiteness of the condensation index and the zero relative multiplicity are necessary for the existence of singular points of the series sum on the R-arc. It is also proved that for one of the sequence classes Λ, these conditions give a criterion. Special cases of this result are the well-known results for the singular points of the sums of the Taylor and Dirichlet series, obtained by J. Hadamard, E. Fabry, G. P´olya, W.H.J. Fuchs, P. Malliavin, V. Bernstein and A. F. Leont’ev, etc

Charge screening and magnetic anisotropy in metallic rare-earth systems

The calculation of magnetic anisotropy constants is performed beyond the point charge model for a continuous charge density distribution of screening conduction electrons. An important role of the non-uniform electron density, in particular, of the Friedel oscillations, in the formation of crystal field is demonstrated. Such effects can modify strongly the effective ion (impurity) charge and even change its sign. This enables one to justify the anion model, which is often used at discussing experimental data on hydrogen-containing systems. Possible applications to the pure rare-earth metals and RCo5 compounds are discussed. The deformation of magnetic structure near the interstitial positive muon owing to the strong local anisotropy, and the corresponding contribution to the dipole field at the muon are considered.Comment: 10 pages, RevTeX, 3 figure

Состав отходящих газов при каталитическом синтезе углеродных наноматериалов при пиролитическом разложении пропан-бутановой смеси

It is known that during the process of carbon nanomaterials synthesis, gaseous products and various unknown hydrocarbons are formed. Thus, the production of carbon nanomaterials could damage the environment. A detailed analysis of all gaseous products during the pyrolysis process is needed in order to clarify the nature of the formed substances and to control the technological characteristics of the catalyst. The chemical composition study of exhaust gases was made on the facility of propane-butane mixture pyrolysis for the carbon nanomaterial synthesis. The analysis of 16 polycyclic aromatic hydrocarbons (PAHs) of the extracts is made using a gas chromatography-mass spectrometry method. A quantitative analysis of gases was made by gas chromatography coupled with a heat conduction detector and a flame ionization detector. It was established that the concentrations of some PAHs exceed 14, 20, 90 and 100 times much as a maximum permissible concentration in the air. It was found that the appropriate devices of carbon nanomaterial production should be used in order to eliminate the PAHs that are formed.Анализ отходящих газов установки пиролиза легких углеводородов в процессе синтеза углеродных наноматериалов является актуальной задачей не только для оценки количества образующихся вредных веществ, но и для обеспечения наибольшей производительности реактора и максимальной степени конверсии исходного сырья. Методом газовой хроматографии проведен качественный и количественный анализ отходящих газов: неконденсируемых газообразных фракций и адсорбируемых ароматических углеводородов. В результате экспериментов было установлено, что основными компонентами отходящих газов являются водород и метан. В соответствии с утвержденной в Республике Беларусь методикой измерены значения 16 полициклических ароматических углеводородов, обнаруженных в отходящих газах. Проведено сравнение полученных значений с нормативными предельно допустимыми концентрациями канцерогенов в воздухе. Установлено, что концентрации пирена, фенантрена, аценафтилена, аценафтена превышают норму в 1,5–6 раз, а содержание таких токсикантов, как бенз(а)антрацен, антрацен, бенз(а)пирен и дибенз(а,h)антрацен значительно превышают норму. Полученная информация позволяет оценить степень опасности для экологии и возможный вклад таких установок в загрязнение окружающей среды, а также прогнозировать защитные меры по снижению вредного воздействия

ECOLOGICAL TRIALS OF NEW MAIZE HYBRIDS IN THE CONDITIONS OF VARIOUS MOISTURE SUPPLY

The article presents the results of ecological trials of ten new maize hybrids developed by the ARC “Donskoy” at six points with different moisture supply. According to grain yields there have been identified such valuable for definite conditions hybrids as: ‘Ze 235’ with 5.0 t/ha and ‘Ze 428’ with 6.55 t/ha (ARC “Donskoy”, Zernograd); ‘Ze 182’ with 9.02 t/ha (ARRI of maize, Pyatigorsk); ‘Ze 286’ with 4.92 t/ha (RCG named after P.P. Lukiyanenko, Krasnodar); ‘Ze 428’ with 7.61 t/ha (RPE “Semenovodstvo Kubani”, v. of Ladozhskaya, Krasnodar Area); ‘Ze 331’ with 10.1 t/ha (Agrofirm “Otbor”, v. of Komsomolsky); ‘Ze 428’ with 6.55 t/ha (RusRC “Rossorgo”, Saratov). For the arid conditions there has been recommended the hybrid ‘Ze 428’ with 5.11 t/ha of grain on average at the points with insufficient moisture supply. For the conditions of sufficien moisture supply there has been recommended the hybrid ‘Ze 331’ with 8.06 t/ha at the points with high moisture supply. The new hybrids ‘Ze 182’, ‘Ze 236’, ‘Ze 285’, ‘Ze 286’, ‘Ze 331’, ‘Ze 332’, ‘Ze 333’, ‘Ze 427’, ‘Ze 428’ have been characterized with high responsiveness on the change of growing conditions, regression coefficient (bi) was 1.42–2.02; the hybrid ‘Ze 235’ is found to be an ecologically adaptable genotype (bi = 1). All hybrids belong to ecologically stable genotypes (σd2=0,13–0,74). The hybrids ‘Ze 235’ and ‘Ze 331’ showed the highest index of drought tolerance (72.7 and 67.3% respectively). The early ripening hybrid ‘Ze 182’ (FAO 180), the middle-ripening hybrid ‘Ze 286’ (FAO 250), the middle ripening hybrid ‘Ze 331’ (FAO 300) and the middle-late hybrid ‘Ze 428’ (FAO 400) are the most promising hybrids for practical use according to such their economic-valuable traits as grain productivity, harvesting moisture of grain, resistance to lodging, resistance to smut viruses and ear attachment height

The analysis of quantitative traits of self-pollinated lines of waxy maize (Zea Mays L. Ceratina)

The grain productivity and elements of yield structure of 34 new self-pollinated lines of the subspecies of waxy maize (Zea mays L. ceratina) have been studied. The elements of structure varied according to their effect on yield formation of these self-pollinated lines. The traits “number of cobs per plant”, “number of kernels per cob”, “number of rows with kernels” were of the great value, the trait “1000-kernels weight” was of the small value. The correlation analysis and the analysis of surface graphs identified the possibility to combine the largest values of complementary traits of the waxy maize lines. In 2015–2017 there was no any correlation between the traits “number of cobs per plant” and “weight of one cob” (r = –0.17±0.17…+0.16±0.17). Grain productivity of the lines increased proportionally to the increase of cob weight and a number of cobs per plant. In 2015 there was an average negative correlation between the traits “1000-kernels weight” and “number of kernels per cob” (r = –0.37±0.16), and in 2016–2017 there was no any correlation at all (r = –0.12±0.18, r = –0.10±0.18). The maximum productivity was formed at the combination of maximum values of the traits (241 g of “1000-kernels weight”; 540 pc. of “number of kernels per cob”). There was a tendency to the increase of a number of kernels together with the rise of kernel rows (r = 0.18±0.17…0.32±0.17). The largest productivity was formed at a maximum quantity of kernel rows (18 pc) and optimal quantity of kernels per row (30 pc). There was no correlation between “weight of one cob” and “number of kernel per cob” (r = –0.18±0.17…+0.27±0.17). The combination of the maximum values of the productivity traits promoted the formation of maximum grain yield. There have been identified the new self-pollinated lines of waxy maize “24/78”, “Wx2MP”, “21/82 (1)”, “25/75” with high grain productivity (1.0–2.42 t/ha) and large values of the productivity traits