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This note studies conditions under which stable and locally stable groups of automorphisms are nilpotent or locally nilpotent, extending earlier results on automorphism groups admitting invariant stable series. Using commutator identities, properties of nil-automorphisms, and reductions to induced a…
R. L. Dobrushin
This paper studies the asymptotic probability of decoding error for stationary discrete memoryless channels with symmetric transition probability matrices. It defines optimal and random-code error probabilities, establishes a Hamming-type lower bound, and uses large-deviation estimates to obtain pre…
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The paper studies completeness for a class of feedback-free automata represented functionally as pairs consisting of a Boolean function and a nonnegative time parameter, with superposition operations modeling composition. It first formulates general results on relative completeness and precomplete c…
B. A. KAZANSKII, I. V. GOSTUNSKAYA, and N. B. DOBROSERDOVA
This study examines how the structure of several hexenes affects double bond migration in the presence of acidic alumina catalyst, in contrast to earlier work on basic catalysts. Isomerization was carried out in a flow system at 80 °C over activated aluminum oxide at two space velocities, and produc…
J. P. BENZECRI and F. LE ROY (J. P. BENZECRI et F. LE ROY)
This note studies singularities of analytic 1-fields defined as analytic sections of the projectivization of a complex analytic vector bundle, using a local formulation over open subsets of complex Euclidean space. It establishes criteria and constructions relating such fields to holomorphic section…
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This paper applies the method of moduli to quasiconformal mappings in three-dimensional space. It proves a spatial analogue of the Grötzsch, Teichmüller extremal lemma for families of surfaces in a ball and uses it to derive distortion estimates for normalized quasiconformal self-mappings of the bal…
I. Z. FISHER and B. L. KOPELIOVICH
This paper proposes a refinement of Kirkwood’s superposition approximation for the correlation functions of classical liquids. The authors introduce a coordinate-dependent correction factor for the three-particle distribution and a “supersuperposition” approximation for the four-particle distributio…
Fig. 1
This paper examines the dynamic stability and postcritical motion of a hinged square plate with an initial sinusoidal deflection under time-dependent uniaxial compression. The nonlinear plate equations are solved by a finite-difference scheme of second-order accuracy, with time stepping for deflecti…
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This paper examines whether the mosaic structure of germanium and silicon single crystals grown from the melt can be explained by the conventional dislocation model of low-angle boundaries. Using two-crystal X-ray rocking-curve measurements, supplemented by metallographic observations of etch figure…
Unknown
This paper examines how unimolecular decomposition of polyatomic molecules disturbs the vibrational energy distribution above the dissociation threshold, a region relevant to competing higher-energy decomposition channels and secondary reactions. Using a stochastic relaxation model reduced to a diff…
Unknown
This study examines whether the small hydrogen overvoltage observed on platinum in acid solutions is controlled by electrochemical recombination or by diffusion of molecular hydrogen from the electrode surface into the solution. The authors use oscillographic polarography on platinum microelectrodes…
Unknown
This paper investigates how periodic bed microstructures, or ripples, form and evolve under wave flow, and how their dimensions, migration velocity, and associated sediment flux depend on wave parameters, fluid properties, and particle characteristics. Experiments in a 15 meter wave flume are used t…
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This note compares two analytic approaches to small solutions and bifurcation for nonlinear integral equations depending on a parameter: the Lyapunov, Schmidt method and the Nekrasov, Nazarov method. For an equation whose linear part has 1 as a simple eigenvalue, the paper formulates the correspondi…
A. A. PONOMAREV, N. P. MASLENNIKOVA, N. V. ALAKINA
This study examines reductive amination as a general route to primary furan amines bearing amino groups in different positions of the side chain, and explores subsequent catalytic transformations of these products. Hydrogenation of saturated, mono-unsaturated, and dienone furan ketones in ammoniacal…
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The paper investigates limiting brightnesses of spark discharge channels in argon, nitrogen, air, and helium under very high current rise rates, extending earlier observations of brightness saturation beyond heavy inert gases. Using a low-inductance discharge circuit and optical measurements of the …

This study examines how the condition and polarization of the diffusion side of an iron membrane affect the diffusion rate of electrolytic hydrogen under fixed polarization conditions on the opposite side. Using volumetric measurements in alkaline solution, the authors compare clean iron with surfac…
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This study examines how elevated hydrogen pressure affects the catalytic hydrogenation and hydrogenolysis of furan compounds in a flow system. Sylvan, 2-methyl-5-acetylfuran, and isopropylfurylcarbinol were reacted at 230 to 275 degrees Celsius and 50 atm hydrogen over platinized carbon and skeletal…
V. M. POTAPOV, F. A. TROFIMOV
This study examines the condensation product of optically active alpha-phenylethylamine with acetoacetic ester as a possible ketimide, enamine tautomeric system, using spectropolarimetry and mutarotation measurements. The authors isolated liquid and crystalline forms of identical composition and fou…
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The study examines how added isopropyl alcohol affects the Deno acidity function C0 of sulfuric acid, motivated by the need for acidity data in mixed and nonaqueous media relevant to acid-catalyzed reactions. Using triphenylcarbinol as a spectrophotometric indicator, the authors measured indicator i…
Table 1
This study examines the effects of high energy electron irradiation on solid platinum complex compounds of differing composition and structure. Dried samples were irradiated in an argon stream with 0.8 MeV electrons at controlled temperatures, and the metallic platinum formed after dissolution was d…
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This note studies when an isomorphism between the lattices of finitely generated submodules of free unitary modules over regular rings is induced by a corresponding semilinear mapping of the modules. Extending methods of Baer, it proves that for regular rings and rank at least three, an isomorphism …
V. V. BAKAKIN and N. V. BELOV
This paper completes an X-ray structural analysis of hurlbutite, CaBe2P2O8, by refining the previously uncertain atomic x coordinates from electron-density projections and presenting a full set of atomic parameters for its monoclinic pseudorhombic cell. The authors describe hurlbutite as a framework…
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This paper examines how the structure of iron meteorites, especially the width of kamacite lamellae, depends on nickel content and on gallium and germanium groupings. By plotting published metallographic and chemical data, the author argues that the broad, ambiguous relation between structure and ni…
V. A. Krongauz, Kh. S. Bagdasar'yan
This study examines excitation energy transfer and sensitized decomposition during gamma radiolysis of dilute benzene solutions of organic disulfides with aromatic and aliphatic substituents. Using diphenylpicrylhydrazyl to trap radicals and suppress recombination, the authors measured radiation yie…
O. K. BOGDANOVA, A. A. BALANDIN, and I. P. BELOMESTNYKH
This study examines how conjugation energy affects the catalytic dehydrogenation rates of alkylaromatic and alkylhexahydroaromatic hydrocarbons on a mixed oxide catalyst. Using cyclohexane, ethylcyclohexane, and isopropylcyclohexane under steam dilution at 550 to 600 degrees Celsius, the authors com…
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This study reexamines phase equilibria in the Ti-Sn system from 0 to 25 at.% Sn, addressing conflicting earlier phase diagrams for equilibrium between alpha titanium and the gamma phase. Alloys prepared by suspended induction melting from high-purity components were deformed, long annealed under vac…
R. R. DOGONADZE
This paper develops a kinetic expression for electron exchange reactions in solution by relating the distance-dependent probability of electronic transition, derived from adiabatic perturbation theory, to the experimentally observed specific rate constant. Using the iron isotope exchange reaction as…
S. E. BRESLER, M. I. MOSEVITSKY, I. Ya. PODDUBNY, and SHI GUAN-I
This paper examines the mechanism of molecular chain termination in isoprene polymerization catalyzed by a heterogeneous complex formed from triisobutylaluminum and titanium tetrachloride. Combining ultracentrifugal molecular weight distribution data with polymerization kinetics, the authors argue t…
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Within experimental morphology, this paper examines extremity regeneration in anuran amphibians in relation to treatment with tissue extract. It addresses the broader problem of whether substances obtained from tissues can stimulate regenerative processes in limbs, a question relevant to understandi…
Unknown
This paper examines electrophilic nitration of borofluoride salts of diphenylchloronium, diphenylbromonium, and triphenyloxonium cations, comparing their orientation with other phenyl onium systems. Experiments with nitric and sulfuric acid mixtures and with nitronium borofluoride show that diphenyl…
Unknown
This paper examines a modified formulation of the nonideal Bose-Einstein system in which zero-momentum creation and annihilation operators are replaced by a condensate parameter, with the condensate number fixed by stationarity of the thermodynamic potential. It applies Bogoliubov transformations an…
A. S. CHERKASOV
This paper examines how intermolecular interactions are reflected in the fluorescence spectra of 1- and 2-acetylanthracenes dissolved in pure solvents and solvent mixtures. The study compares spectral shifts and changes in vibrational structure in nonpolar hexane, polar solvents, alcohols, and multi…
A. V. TOPCHIEV and E. L. FANTALOVA
This paper examines the addition reactions of unsaturated nitro compounds with organic bases, focusing on 1-nitrocyclohexene and 1-nitroisobutylene. The authors synthesize and characterize several crystalline adducts, including 2-nitrocyclohexylphenylhydrazine, 2-nitrocyclohexylurea, 2-nitrocyclohex…
E. E. NIKITIN
This paper examines why shock wave measurements show that diatomic molecules can dissociate faster in a pure diatomic gas than in an inert monatomic atmosphere. Using a previously developed theory of thermal dissociation, it analyzes vibrational excitation near an effective dissociation energy and c…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV,
This paper examines the reactivity of bis(cyclopentadienyl)diphenyltitanium in comparison with related organometallic compounds, focusing on radical halide exchange and decomposition reactions. Experiments with mercuric chloride, diphenylmercury, alcohols, chloroform, carbon tetrachloride, benzene, …
K. N. MOCHALOV and G. G. GILMANSHIN
This study examines the polarographic behavior of sodium, potassium, and lithium borohydrides in alkaline media in order to clarify conflicting earlier reports on the anodic wave attributed to borohydride ions. Using a dropping mercury electrode, the authors compare purified and technical borohydrid…
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This paper examines how electronic conductivity in a solid electrolyte affects the power output of a galvanic cell, using the cell Ag, AgBr, Br2,C as a model system. The authors derive expressions for the electromotive force and electrolyte resistance when bromine diffusion creates p-type electronic…
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This paper derives a centrally symmetric nonstationary solution of Einstein’s equations for an ideal incompressible fluid undergoing radial motion after a sudden energy release at the center of an initially equilibrium sphere. Using Lagrangian orthogonal coordinates, the analysis obtains the metric …
F. I. VILESOV and A. N. TERENIN
This paper investigates external photoelectric emission from thin polycrystalline layers of the dyes pinacyanol and pinakryptol deposited on nickel, extending earlier measurements on organic dye films. Using spectral quantum-yield measurements and photoelectron kinetic-energy distributions, the auth…
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The paper examines how aerosol particle concentrations decrease with height in the free atmosphere and questions the adequacy of a standard turbulent diffusion formula based only on gravitational settling. Using aircraft measurements of large and giant particle fractions at heights up to 3000 m, the…

This study examines how beta radiation from sulfur-35 incorporated into sodium sulfate affects oxygen isotopic exchange between solid sodium sulfate and oxygen enriched in oxygen-18 at 600 to 800 °C. Sodium sulfate samples with varied specific activities were prepared, exposed to labeled oxygen, and…
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This paper investigates radiation damage in polycrystalline n-dichlorobenzene using the intensity of the chlorine-35 nuclear quadrupole resonance signal as a sensitive indicator of lattice disorder. Samples irradiated with 750 keV electrons were measured with a frequency-modulated quadrupole radiosp…
R. V. KUCHER, S. D. KAZ’MIN, and V. D. ENAL’EV
This paper examines whether the yield of cumene hydroperoxide in liquid-phase oxidation can be increased by introducing hydrogen peroxide as a short-term initiator at different stages of the reaction. Experiments show that hydrogen peroxide added at the beginning does not accelerate oxidation or sho…
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This paper investigates how impurities adsorbed from etching solutions affect the surface conductivity of n-type germanium, a factor relevant to surface shunting of p-n junctions. Using wedge-shaped single-crystal specimens and conductivity measurements after etching in purified acid mixtures delibe…
A. A. DEZIN
This paper studies boundary value problems for a class of invariant first order elliptic systems with constant coefficients, formulated in terms of covariants and the exterior differentiation operators d and δ. The argument uses the invariant structure by doubling a smooth bounded Euclidean domain a…
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This paper studies approximation of summable functions of two variables by the Riesz-Bochner means of their Fourier integrals, assuming that the circular mean of the function satisfies a Lipschitz condition of order alpha. Using the Bessel function representation of the Riesz-Bochner operator and es…
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This paper examines retardation phenomena in the polarographic reduction of cobalt ammine complexes containing negatively charged substituents in the inner coordination sphere at the dropping mercury electrode. Using the stable cationic complex tetraamminecarbonatocobalt, the authors compare reducti…
O. A. Berezin
This paper studies one-dimensional unsteady self-similar motions of an ideal gas in a transverse magnetic field under the assumptions of infinite conductivity and negligible viscosity and thermal conductivity. A class of solutions is introduced in which velocity, density, pressure, and magnetic-fiel…
I. M. Sobol′
This paper introduces classes of multivariable functions defined through the convergence properties of their Haar series, denoted \(S_p\), and studies their basic normed-space structure and continuity behavior. It also defines classes \(H_\alpha\), multidimensional analogues of Lipschitz classes bas…
A. A. BALANDIN and P. TETENYI
This paper examines how the nature of metallic catalysts influences catalytic activity in alcohol dehydrogenation, with particular attention to the relationship between activation energy and metal properties. Using kinetic measurements for isopropyl alcohol dehydrogenation over silver, platinum, and…