Showing 50 of 25456 papers

Stable automorphism groups

Unknown
1960 SovietRxiv: ru-196001.20366

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…

Asymptotics of Error Probabilities in Information Transmission over a Memoryless Channel with a Symmetric Transition Probability Matrix

R. L. Dobrushin
1960 SovietRxiv: ru-196001.20358

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…

Isomerization of Some Hexenes in the Presence of Aluminum Oxide

B. A. KAZANSKII, I. V. GOSTUNSKAYA, and N. B. DOBROSERDOVA
1960 SovietRxiv: ru-196001.20207

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…

On the Features of Analytic Fields

J. P. BENZECRI and F. LE ROY (J. P. BENZECRI et F. LE ROY)
1960 SovietRxiv: ru-196001.20196

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…

On the Theory of Quasiconformal Mappings in Space

Unknown
1960 SovietRxiv: ru-196001.20170

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…

On the refinement of the superposition approximation in the theory of liquids

I. Z. FISHER and B. L. KOPELIOVICH
1960 SovietRxiv: ru-196001.20084

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…

ON THE QUESTION OF THE OVERVOLTAGE OF HYDROGEN ON PLATINUM

Unknown
1960 SovietRxiv: ru-196001.19840

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…

Synthesis and Some Catalytic Transformations of Primary Furan Amines

A. A. PONOMAREV, N. P. MASLENNIKOVA, N. V. ALAKINA
1960 SovietRxiv: ru-196001.19702

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…

Limiting Brightnesses of a Spark Discharge Channel

Unknown
1960 SovietRxiv: ru-196001.19573

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 …

INVESTIGATION OF THE INFLUENCE OF THE STATE OF THE DIFFUSION SIDE OF AN IRON MEMBRANE ON THE RATE OF DIFFUSION OF ELECTROLYTIC HYDROGEN

![Figure 1](figure)
1960 SovietRxiv: ru-196001.19534

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…

Spectropolarimetric Study of a Ketimide-Enamine Tautomeric System

V. M. POTAPOV, F. A. TROFIMOV
1960 SovietRxiv: ru-196001.19472

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…

Ionization of Triphenylcarbinol in a Sulfuric Acid Medium Containing Isopropyl Alcohol. Measurement of the Deno Acidity Function

Unknown
1960 SovietRxiv: ru-196001.19448

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…

ON THE STRUCTURAL ISOMORPHISM OF MODULES OVER REGULAR RINGS

Unknown
1960 SovietRxiv: ru-196001.19193

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 …

Crystal structure of hurlbutite

V. V. BAKAKIN and N. V. BELOV
1960 SovietRxiv: ru-196001.19080

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…

Excitation Energy Transfer and Sensitization of Chemical Reactions in the Radiolysis of Organic Disulfide Solutions

V. A. Krongauz, Kh. S. Bagdasar'yan
1960 SovietRxiv: ru-196001.19032

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…

On the influence of conjugation energy on the rate of catalytic dehydrogenation of alkylaromatic and alkylhexahydroaromatic hydrocarbons

O. K. BOGDANOVA, A. A. BALANDIN, and I. P. BELOMESTNYKH
1960 SovietRxiv: ru-196001.19023

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…

On Equilibrium in the Titanium–Tin System

Unknown
1960 SovietRxiv: ru-196001.18977

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…

Rate of Electron Exchange Reactions in Solutions

R. R. DOGONADZE
1960 SovietRxiv: ru-196001.18954

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…

Features of the mechanism of molecular chain limitation during polymerization under the action of complex catalysts

S. E. BRESLER, M. I. MOSEVITSKY, I. Ya. PODDUBNY, and SHI GUAN-I
1960 SovietRxiv: ru-196001.18929

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…

Corrections to the Article Classification of Phosphorites (Doklady Akademii Nauk, vol. 128, no. 6, 1959)

Unknown
1960 SovietRxiv: ru-196001.18804

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…

THE CONNECTION BETWEEN THE STATISTICAL VARIATIONAL PRINCIPLE AND THE METHOD OF PARTIAL SUMMATION OF DIAGRAMS OF THERMODYNAMIC PERTURBATION THEORY IN A MODIFIED FORMULATION OF THE PROBLEM OF A NONIDEAL BOSE–EINSTEIN SYSTEM

Unknown
1960 SovietRxiv: ru-196001.18721

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…

Manifestation of intermolecular interactions in the fluorescence spectra of acetylanthracene solutions in solvent mixtures

A. S. CHERKASOV
1960 SovietRxiv: ru-196001.18692

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…

Interaction of Unsaturated Nitro Compounds with Organic Bases

A. V. TOPCHIEV and E. L. FANTALOVA
1960 SovietRxiv: ru-196001.18665

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…

Some reactions of bis(cyclopentadienyl)diphenyltitanium

Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV,
1960 SovietRxiv: ru-196001.18607

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, …

On the influence of $\beta$ radiation of $\mathrm{S}^{35}$ on oxygen isotope exchange in the $\mathrm{Na}_2\mathrm{SO}_4^{16}$ – $\mathrm{O}_2^{18}$ system

![Fig. 1 and Fig. 2](image)
1960 SovietRxiv: ru-196001.18291

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…

Change in the Intensity of Nuclear Quadrupole Resonance in a Molecular Crystal Irradiated with Fast Electrons

Unknown
1960 SovietRxiv: ru-196001.18202

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…

On the possibility of increasing the hydroperoxide yield in the initiation of cumene oxidation with hydrogen peroxide

R. V. KUCHER, S. D. KAZ’MIN, and V. D. ENAL’EV
1960 SovietRxiv: ru-196001.18189

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…

Boundary Value Problems for Invariant Elliptic Systems

A. A. DEZIN
1960 SovietRxiv: ru-196001.17963

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…

Reduction of Complex Cobalt Ammines with Negative Substituents in the Inner Sphere at a Dropping Mercury Electrode

Unknown
1960 SovietRxiv: ru-196001.17880

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…