V. I. ZHEGALOV
The paper studies a boundary-value problem for a higher-order mixed-type equation whose type degenerates on the x-axis, in a domain bounded by a curve in the elliptic region and characteristics in the hyperbolic region. The argument reduces the equation to a system of second-order problems of Bitsad…
V. P. DEMIDOV
The paper examines the transverse refractive index of a homogeneous magnetized plasma for waves propagating perpendicular to a constant magnetic field, with emphasis on behavior near cyclotron frequencies and their harmonics. Using the kinetic equation for Maxwellian charged particles together with …
A. E. Arbuzov, V. E. Shishkin
This study examines the interaction of N-phenylbenzimidoethers with alkyl halides in order to clarify the scope of their rearrangement to N-substituted benzanilides. Seven alkyl N-phenylbenzimidate esters were prepared, including four higher alkyl derivatives not previously described, and their reac…
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A numerical method is proposed for treating the many-body dynamics of charged particles by returning to the relativistic equations of motion with Liénard-Wiechert interactions, using enlarged particles formed by averaging charges over small volume elements to reduce computational size. The resulting…
Academician M. M. SHEMYAKIN, E. I. VINOGRADOVA, M. Yu. FEIGINA,
This paper reports general synthetic routes to optically active depsipeptides containing residues of alpha-hydroxy and alpha-amino acids in regular and irregular sequences. The authors develop stepwise methods based on protected amino and hydroxy acid derivatives, formation of ester bonds through ac…
The article considers certain questions in the theory of approximation of functions by polynomials
The paper studies uniform and integral approximation of real functions by algebraic polynomials with integer coefficients on intervals of length less than 4, emphasizing the arithmetic restrictions that distinguish this problem from ordinary polynomial approximation. It establishes direct approximat…
A. E. ARBUZOV and V. E. SHISHKIN
This study examines the reactions of aryl imido esters with alkyl iodides, in contrast to known rearrangements of alkyl imido esters with alkyl halides. Heating substituted benzimido ethers with methyl iodide or ethyl iodide gave addition products, assigned as ionic iodomethylate and iodoethylate sa…
A. Ya. Gokhshtein
This paper develops a theory for undamped self-oscillations observed in electrochemical reductions at mercury electrodes in systems without passivating films or new phase formation. The argument models an electrolytic cell with series resistance, a polarization characteristic containing a descending…
Table 1
This study examines the structure and reactivity of nitrosoanilines, nitrosonaphthylamines, and their p-dimethylaminophenylmercury derivatives, a class less characterized than analogous nitrosophenols and nitrosonaphthols. The authors synthesized arylmercury derivatives by reacting p-dimethylaminoph…
Yu. A. ZHDANOV and G. A. KOROLCHENKO
This paper examines the extension of organomagnesium synthesis to C-substituted carbohydrates bearing more complex aromatic and heteroaromatic aglycones. Using Grignard reagents derived from substituted aryl and thienyl halides, the authors prepared several new glucose and rhamnose derivatives, incl…
V. G. Berezkin and L. S. Polyak
This paper examines the gas liquid chromatography of C7 to C12 paraffins and aromatic hydrocarbons using the domestic methylphenylpolysiloxane stationary liquid phase PFMS-4. The authors describe the chromatographic apparatus, conversion-based detection, column preparation, and calculation procedure…
B. A. ARBUZOV, V. S. VINOGRADOVA, and N. A. POLEZHAEVA
This paper addresses difficulties in synthesizing esters of cyclohexanone-2-phosphinic acid by previously attempted Arbuzov, Michaelis-Becker, bromination, and related routes. The authors investigate alternative reactions and report a successful synthesis starting from 1-ethoxycyclohexene, involving…
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The paper studies how correction vectors arising in iterative methods for approximating spectral bounds of a bounded positive self-adjoint operator can provide additional spectral information. It defines extremal, strongly minimizing, strongly maximizing, and biextremal sequences in terms of the Ray…
S. S. Novikov, Yu. S. Ryazantsev
This paper analyzes the interaction of a weak entropy wave with a flame front, allowing for changes in flame propagation velocity caused by variations in the thermodynamic state of the combustible mixture. Using a linear gas-dynamic approximation and conservation of mass, momentum, and energy at the…
I. E. Zimakov and Academician Vikt. I. Spitsyn
This study examines how the energy of beta radiation from radioactive additives influences the evaporation rate of solid molybdenum anhydride. Specimens of MoO3 containing Y90, W185, or previously studied Mo99 were prepared at different specific radioactivities, and evaporation at 700 degrees C was …
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The paper studies asymptotic expansions, with respect to a small parameter, for solutions of degenerating quasilinear second order equations, chiefly hyperbolic equations whose limiting problems have lower order, and related elliptic and hyperbolic problems degenerating to parabolic ones. Using iter…
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This paper addresses discrepancies in published measurements of the vapor pressure of liquid thallium and the absence of data for solid thallium. Vapor pressure and evaporation behavior were measured over 519 to 924 K using an integral Knudsen effusion method and evaporation from an open surface, wi…
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This note applies the method of frames of submanifolds to the projective differential geometry of pairs of complexes in three-dimensional projective space. It constructs a semicanonical frame using k-flecnodal points, derives invariant frame formulas for pairs of nonholonomic congruences associated …
Corresponding Member of the Academy of Sciences of the USSR M. F. SHOSTAKOVSKII, N. V. KOMAROV
This paper reports initial results on the reaction of vinylacetylene Iotsich reagents with polyorganosiloxanes as a route to oxygen-containing organosilicon compounds. Magnesium bromovinylacetylene was reacted with polydimethylsiloxane and polydiethylsiloxane to obtain vinylacetylenic silanols, and …
G. S. BARKHIN and V. T. FOMENKO
This note studies bending and rigidity of pieces of surfaces of positive Gaussian curvature with boundary conditions imposed on the normal curvature and geodesic torsion of the contour. The authors reformulate the Gauss and Codazzi equations for increments of the second fundamental form as a boundar…
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A synthetic route to beta-C19-aldehyde, an important intermediate in beta-carotene synthesis, is described from beta-C14-aldehyde and the acetal of gamma-bromotiglic aldehyde. The method uses a haloacetal-derived triphenylphosphonium bromide in a Wittig reaction, followed by hydrolysis of the result…
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This paper examines the reaction of ethylenimine with carbonyl compounds, challenging the earlier view that such reactions under mild conditions generally form oxazolidines. By reacting ethylenimine with chloral, hexafluoroacetone, and diethyl mesoxalate, the study shows formation of α-substituted N…
Gilm KAMAI and Yu. F. GATILOV
This paper examines the preparation and optical resolution of asymmetric quaternary arsonium compounds whose chirality is attributed to the arsenic atom. The authors synthesized a series of phenyl ethyl alkyl arsines by reaction of phenylethylchloroarsine with organomagnesium reagents, converted sel…
V. V. Korshak and S. V. Vinogradova
This paper examines regularities of the polycoordination reaction as a route to high molecular weight coordination polymers, using 4,4'-bis(acetoacetyl) diphenyl ether with beryllium and zinc compounds as model systems. The authors argue, by analogy with polycondensation, that polycoordination is an…
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This paper studies geometric properties of level lines under univalent conformal mappings of the unit disk and of the corresponding exterior class. Building on earlier examples showing nonmonotonic changes in inflection and loss of starlikeness, it proves that sufficiently rapid growth of the mappin…
V. N. KONDRAT’EV
This paper reexamines the rate constant for the reaction HO2 + H2O = H2O2 + OH in the mechanism of hydrogen and oxygen ignition near the third limit. Using the experimental data of Poltorak and Voevodskii, the author derives a revised relation for the limiting pressure and recalculates the temperatu…
E. A. BLYUMBERG, G. E. ZAIKOV
This paper compares the oxidation of n-butane in gas and liquid phases under similar conditions in order to assess whether phase-dependent product distributions can be explained by competition between monomolecular decomposition and bimolecular reactions of peroxy radicals. Oxidation experiments at …
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This paper examines whether electron paramagnetic resonance can be used to detect and measure stationary concentrations of free radical active centers during liquid-phase hydrocarbon oxidation under ordinary reaction conditions. Using kinetic estimates for peroxy radical concentrations and sensitivi…
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The paper develops a one-dimensional theoretical treatment of anodic dissolution of finite-length n-type germanium when the semiconductor thickness is comparable to or smaller than the minority-carrier diffusion length. It solves the hole diffusion and recombination problem with boundary conditions …
V. V. AZATYAN, L. A. AKOPYAN, A. B. NALBANDYAN, and B. V. OZHERELEV
This study investigates the presence of atomic oxygen in rarefied low-temperature flames of carbon monoxide and oxygen containing small additions of hydrogen, a system whose chain mechanism predicts high superequilibrium concentrations of reactive atoms. Using electron paramagnetic resonance, the au…
M. S. BRODSKII
The paper establishes a criterion for when a simple Volterra operator in a separable Hilbert space is unicellular, meaning that its invariant subspaces are totally ordered by inclusion. It develops the criterion through the characteristic operator function associated with the imaginary part of the o…
Academician Vikt. I. SPITSYN, I. E. MIKHAILENKO, and G. N. PIROGOVA
The study examines how beta radiation from sulfur-35 incorporated into magnesium sulfate and external fast electron irradiation affect the dehydration of primary dodecyl alcohol and the isomerization of the resulting dodecenes. Experiments in a flow catalytic apparatus measured olefin formation brom…
M. E. Maurit, G. V. Smirnova, E. A. Parfenov, I. K. Sarycheva
This paper describes a complete synthetic route to alpha-tocopherol and related esters, motivated by the difficulty of isolating pure vitamin E from natural sources. The authors prepare isophytol from acetone and acetylene through repeated two-carbon and three-carbon chain-extension steps involving …
I. L. KNUNYANTS and Yu. A. CHEBURKOV
The paper examines conditions under which a trifluoromethyl group bonded to carbon can display pseudohalogen behavior, in contrast to cases such as trifluoroacetic acid where this behavior is absent. The authors interpret relevant reactivity in terms of electronic effects and investigate the pyrolys…
V. B. MELAMED
The paper studies small analytic solutions of a class of nonlinear integral equations in the space of continuous complex-valued functions, in the case where the linear kernel has the eigenvalue one with finite multiplicity. It investigates the Nekrasov-Nazarov construction using series in fractional…
D. N. Shigorin, N. A. Shcheglova, and N. S. Dokunikhin
This paper examines whether the autonomy of chromophoric electronic groupings, known from absorption spectra, is also manifested in luminescence spectra of complex molecules. Using quasi-line luminescence spectra of anthraquinone, phenanthrenequinone, anthrone, mesobenzanthrone, thioindigo, and rela…
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This study examines intermediate active states formed during the mechanical destruction of polymers under controlled milling conditions, with emphasis on solid polymers at low temperatures where secondary reactions are restricted. Changes in specific surface area, molecular weight, luminescence, and…
V. I. YUDOVICH
The paper studies limiting forms of a priori estimates for elliptic boundary value problems and related integral operators when standard \(L_p\) and Hölder estimates approach critical parameter values. By analyzing the growth of constants as \(p\) tends to infinity and as the Hölder exponent tends t…
M. G. Kaganer
This study compares adsorption of nitrogen, argon, and krypton at 90 K over a wide pressure range on silica gel, silica aerogel, activated alumina, and activated carbon, with the aim of evaluating their use in surface area determination. The analysis applies potential theory and a monomolecular adso…
A. I. Shatenshtein, E. A. Yakovleva, and E. S. Petrov
This paper examines anionic polymerization initiated by solid potassium amide and by potassium alkoxides in dimethoxyethane, drawing on analogies with hydrogen exchange, carbanion formation, and anion-radical chemistry. Experiments under high-vacuum conditions show that styrene polymerizes on solid …
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This paper develops a general theory of semieuclidean and semineuclidean spaces, extending earlier work that treated only special cases. It defines these spaces by systems of scalar products with prescribed signatures, introduces distances, angles, hyperspheres, absolute cones and planes, and descri…
S. G. MAIRANOVSKII, L. D. KLYUKINA, and A. N. FRUMKIN
This study examines how the structure of the electrical double layer affects polarographic surface catalytic hydrogen waves produced by quinine in borate buffer at pH 9.5. By varying the concentration and identity of alkali metal chloride supporting electrolytes and comparing the resulting waves wit…
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The paper formulates and solves a boundary-value problem for stationary electromagnetic waves in a spherically layered, anisotropic, dissipative medium, motivated by models such as a conducting Earth surrounded by a magneto-anisotropic ionosphere. Maxwell’s equations are reduced to an operator equat…
Let us consider the equation:
The paper studies level sets of bounded solutions to a uniformly elliptic second order linear equation in an infinite strip, under regularity and boundedness assumptions on the coefficients. It proves that two proper components of the zero level set, both extending to infinity without meeting the ho…
M. E. Akopyan, F. I. Vilesov, and A. N. Terenin
This study examines the spectral dependence of photoionization efficiency for gaseous benzene derivatives, including benzene, methylbenzenes, aromatic amines, and benzylamine, using a mass spectrometer coupled to a vacuum monochromator over photon energies up to 11.7 eV. Ionization-efficiency curves…
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This paper reports the detection of hydroperoxyl radicals by electron paramagnetic resonance as a simpler alternative to mass spectrometric identification. HO2 radicals were generated in a gas jet by the termolecular reaction of hydrogen atoms, produced in a silent discharge, with molecular oxygen, …
A. D. NEUIMIN, S. V. KARPACHEV, and S. F. PALGUEV
The study investigates electrode polarization for gas electrodes in contact with a solid oxygen-ion conducting electrolyte composed of 85 mol% zirconium oxide and 15 mol% calcium oxide. Measurements on symmetric oxygen cells at 900 to 1100°C showed an essentially linear current-voltage relation gove…
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This note studies the large time behavior of solutions to a one dimensional Stefan problem with Cauchy data for parabolic equations with variable coefficients. Using maximum principle comparison arguments and similarity solutions of the constant coefficient heat equation, it derives asymptotic resul…
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This note proposes the axiomatic notion of a radical as a means of organizing numerous group classes related to abelian, finite, soluble, and generalized soluble groups. It formulates radical and semisimple classes of groups through closure and series conditions, describes minimal radical and semisi…
L. Kh. Freidlin, E. F. Litvin, and Yu. Yu. Kaup
The study examines the sequence and selectivity of hydrogenation reactions of 2,3-dimethylbutadiene-1,3 on a skeletal nickel catalyst in methanol and ethanol. Using gas-liquid partition chromatography to analyze reaction mixtures during hydrogen uptake, the authors followed the formation and consump…