Algebraic formulae for compositions of functions in rings

In this article algebraic formulae for compositions of the linearly limited functions in abstract rings are proved. The proofs are based on the method of mathematical induction and can be generalized for other algebraic systems. Rostov University, Rostov-at-Don, Russia. Published in Lietuvos Matematikos Rinkinys, Vol. 34, No. 3, pp. 320–330, July–September, 1994.     

Searching for preferential arrival directions of ultrahigh-energy cosmic rays on the Moscow State University EAS array

There is evidence for possible clustering in the arrival directions of extensive air showers (EASs). A program for analyzing EAS arrival directions has been developed to investigate this problem and the database of the Moscow State University EAS array for 1982–1989 has been analyzed. The distributions in equatorial coordinates have been derived for cosmic rays with energies E ≥ 2 × 10¹⁵ eV and zenith angles <40°. The uniformity of the derived distributions is verified using various statistical tests.     

Solubilization of prothionamide with micelles of an amphiphilic acrylic acid oligomer with thiohexyl terminal groups and preparation of postoperative cavity filling formulations

An amphiphilic oligomer was prepared by telomerization of acrylic acid in the presence of n-hexyl mercaptan. The structure, molecular weight, critical micelle concentration, and ζ-potential of the oligomer, and also its particle-size distribution in aqueous solution were determined. The product allows solubilization of prothiondamide antituberculosis drug. A procedure was suggested for preparing a filling formulation containing prothionamide for filling postoperative cavities in connective tissue.     

Studying heat exchange of dispersion-drop gas-liquid flow in granular layer

Conclusions Experimental procedure has been developed for physical modeling of monopropellant decomposition in a catalytic packet upon limiting stage of the process, i.e., during evaporation of a liquid in drop conditions. Heat exchange of liquid drops in a catalyst layer heated to high temperatures has been analyzed. Experimental dependence of a volume heat transfer coefficient on grain diameter, liquid flow rate and catalyst material has been obtained. It has been shown that within parameter variations this coefficient is practically independent of the gas velocity and drop diameter. Evaporation mechanism of drops in a heated granular layer has been discussed and carried out. For a more comprehensive examination of the interaction mechanism between the drops and the catalyst layer, a further experimental investigation is necessary in a wider range of change of the basic parameters of the process and use of mathematical modeling in analyzing experimental data. Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 118–123, July–August, 1994.     

Results of search for narrow diproton structures in thepn →ppπ − reaction at 1.98 GeV/c

The effective mass spectrum of two protons from the reactionp+n→pp+π ^?(backward) was investigated. The work was carried out at ITEP using a 3-meter magnet spectrometer and a proton beam of 1.98GeV/c momentum. Liquid deuterium was used as a target. The presented mass spectrum includes about 34000 events. No statistically significant signals from narrow dibaryons were found in the mass region 1.89–2.17GeV/c ²; the upper limits on narrow dibaryon production cross-section are given. At a mass of 1.8775GeV/c ² a narrow enhancement was found. A more detailed investigation of the observed phenomenon is needed.     

Influence of the vertical advection on the nonlinear dynamic properties of the upper-mesosphere photochemistry

We study the influence of the vertical advection on the behavior of the mesospheric photochemical system (altitudes from 80 to 90 km), which is initially in the regime of a nonlinear (subharmonic) response to diurnal variations in solar radiation. It is shown that allowance for the atmospheric transport significantly modifies the nonlinear dynamic properties of this system and, depending on the value and speed direction of the mean vertical wind, can lead to either a suppression of nonlinear oscillations of the minor gas constituents of the upper mesosphere or an increased complexity of their behavior under the actual atmospheric conditions. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radio.zika, Vol. 49, No. 12, pp. 1043–1050, December 2006.     

Synthesis of N-trinitroethyl derivatives of linear and heterocyclic nitrogen-containing compounds

Earlier unknown N-trinitroethyl derivatives of acetylhydrazine, 4-amino-1,2,4-triazole, and 2,4,6-triamino-1,3,5-triazine, which are potential components for gas-generating formulations, were synthesized. Dedicated to Academician N. K. Kochetkov on the occasion of his 90th birthday. __________ Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 5, pp. 1306–1309, May, 2005.