Showing 50 of 25456 papers

On Some Operators in Generalized Orlicz Spaces

I. V. Shragin
1957 SovietRxiv: ru-195701.30976

This paper studies operators in generalized Orlicz spaces in connection with the weak-topological treatment of nonlinear Hammerstein integral equations. It first establishes necessary and sufficient conditions for a multiplication operator \(Hu=b(x)u(x)\) to map one generalized Orlicz space into ano…

Dependence of the emission frequency of shower particles on the atomic number of the disintegrating nucleus

Zh. S. Takibaev
1957 SovietRxiv: ru-195701.30906

This paper investigates how the yield of shower particles in cosmic-ray nuclear disintegrations depends on the atomic number of the target nucleus. Using multilayer photographic plates with embedded aluminum and tungsten threads exposed in the stratosphere, the study compares stars formed in light a…

Study of the nature of local passivity during electrolytic polishing of copper by the charging curve method

------------------
1957 SovietRxiv: ru-195701.30854

This study examines the nature of local passivity during electrolytic polishing of copper in phosphoric acid, focusing on whether oxide films form on the anodic surface. Using anodic charging curves recorded oscillographically at polishing current densities, the authors analyze how current density, …

Mechanism of the cleavage reaction of pyridine bases

A. F. VOMPE and N. F. TURITSYNA
1957 SovietRxiv: ru-195701.30819

This study examines the mechanism of pyridine ring cleavage by amines, a reaction previously uncertain as to whether it proceeds through isolable intermediates or by direct substitution involving two amine molecules. The authors investigate reactions of substituted pyridine bases with cyanogen bromi…

Determination of the Nature of an Elementary Emitter for Absorption and Emission Oscillators with Noncoincident Directions

Academician of the Academy of Sciences of the BSSR A. N. SEVCHENKO and G. P. GURINOVICH
1957 SovietRxiv: ru-195701.30814

This paper extends polarization analysis of luminescence to cases in which the absorption and emission oscillators are not parallel. It derives expressions for the observed degree of polarization as a function of the angle between oscillators and the observation geometry for electric dipole, electri…

Interaction of cosmic ray protons with energies around $10^{10}$ eV with lead nuclei

L. T. Baradzei, V. I. Rubtsov, Yu. A. Smorodin, M. V. Solov’ev,
1957 SovietRxiv: ru-195701.30792

Cosmic-ray proton interactions with lead nuclei at energies of about 10 BeV were studied at 9000 m altitude using a Wilson chamber in a 9200 oersted magnetic field. From 38 selected electron-nuclear showers initiated by single charged particles, the authors measured particle multiplicities, momenta,…

Photoionization of Vapors of Certain Organic Compounds

F. I. Vilesov and A. N. Terenin
1957 SovietRxiv: ru-195701.30737

This study measures the first photoionization potentials of vapors of selected organic compounds, with emphasis on aromatic molecules relevant to investigations of electronic properties and adsorption. Three photoelectric methods are compared, a capacitor cell, an ionization chamber with gas amplifi…

On Classes of Well-Posedness for Some Boundary Value Problems

S. G. KREIN
1957 SovietRxiv: ru-195701.30419

This note studies well-posedness for selected boundary-value and Cauchy-type problems associated with partial differential equations, including equations of backward heat type and certain elliptic equations. The problems are reformulated as ordinary differential equations in a Hilbert space with unb…

Production of $\pi^+$ mesons on carbon by $\pi^-$ mesons with an energy of 308 MeV

V. V. KRIVITSKII and A. A. REUT
1957 SovietRxiv: ru-195701.30202

This paper reports an experimental study of positive pion production by 308 MeV negative pions incident on a carbon target, motivated by questions about pion interactions near the meson production threshold. The authors used a synchrocyclotron pion beam, a graphite target, and photographic emulsions…

On the Mechanism of Formation of Normal Fault Zones

Unknown
1957 SovietRxiv: ru-195701.30158

This paper investigates the mechanism of slip band formation in compressed single crystals of cesium bromide, with comparison to earlier observations in cesium iodide and thallium halide crystals. Using polarized-light microscopy and localized Laue X-ray diffraction on sectioned specimens, the autho…

Distribution of Electricity on a Thin Paraboloidal Segment

Unknown
1957 SovietRxiv: ru-195701.29839

This paper solves the electrostatic problem of free charge distribution on a thin conducting paraboloidal segment, a case for which few exact results were previously available. Using paraboloidal coordinates, the potential is represented by Bessel function integrals, reducing the boundary conditions…

On the Theory of Approximation of Functions by Linear Combinations of Eigenfunctions of the Sturm–Liouville Problem

G. I. NATANSON
1957 SovietRxiv: ru-195701.29777

This note formulates results on uniform approximation of continuous functions on a finite interval by linear combinations of eigenfunctions of a regular Sturm, Liouville problem with separated boundary conditions. It establishes direct estimates for best approximation in terms of moduli of continuit…

Synthesis of geranylacetone, 3-methylgeranylacetone, pseudoionone, and pseudoirone

Academician I. N. Nazarov, L. A. Yanovskaya, B. P. Gusev,
1957 SovietRxiv: ru-195701.29694

This paper examines Carroll-type syntheses of isoprenoid ketones from linalool, 3-methyllinalool, dehydrolinalool, and 3-methyldehydrolinalool using either acetoacetic ester or diketene routes. The authors optimize catalyst-free condensations with acetoacetic ester and base-promoted acylations with …

On groups with finite classes of conjugate elements

Unknown
1957 SovietRxiv: ru-195701.29424

This note studies structural properties of groups with finite conjugacy classes and related locally normal and periodic groups. It gives a characterization of layer-finite groups as locally normal groups whose Sylow subgroups satisfy the minimal condition for abelian subgroups, deriving finiteness a…

On Energy Sources in Thermal Excitation of Sound

B. V. RAUSHENBAKH
1957 SovietRxiv: ru-195701.29336

This paper reexamines the energy sources involved in the thermal excitation of sound in a moving gas, challenging the assumption that heat release alone maintains acoustic oscillations. Using conservation of energy for a one-dimensional flow through a localized heat-supply region, it decomposes the …

On a variational problem of Hilbert

S. M. NIKOLSKII
1957 SovietRxiv: ru-195701.29307

This paper extends a variational problem of Hilbert from the complex plane to real \(n\)-dimensional space, considering functions with finite Dirichlet integral on the complement of a smooth hypersurface and prescribed linear jump-type boundary data. It formulates a class of admissible Sobolev funct…

Selective reduction of alkylfurylcarbinols to alkylfurans over a palladium catalyst

N. I. Shuikin and I. F. Bel’skii
1957 SovietRxiv: ru-195701.29298

This study examines the vapor phase hydrogenation of alkylfurylcarbinols over palladized charcoal, a system expected to hydrogenate the furan ring but found instead to promote selective hydrogenolysis of the side chain C, O bond. Methylfurylcarbinol and ethylfurylcarbinol were prepared from furfural…

On the Determination of Molecular Volumes in Solutions by the Method of Polarized Luminescence

N. D. ZHEVANDROV and V. P. NIKOLAEV
1957 SovietRxiv: ru-195701.29275

This paper examines the use of polarized fluorescence to estimate effective molecular volumes in viscous solutions and to assess whether such measurements can reveal solvation shells. The authors measured limiting fluorescence polarization and lifetimes for nine organic luminophores, including phtha…

On the A. Cartan Algebra of a Polynomial Ideal

I. Z. ROZENKNOP
1957 SovietRxiv: ru-195701.29191

This paper studies the Cartan differential graded algebra associated with a homogeneous polynomial ideal and its homology, viewed as a graded vector space. It introduces complete independence of generators in terms of the absence of nontrivial relations, relates Cartan homology to Koszul modules, an…

On the kinetics of the rotational isomerization reaction

V. A. Pozdyshev, Yu. A. Pentin, and V. M. Tatevskii
1957 SovietRxiv: ru-195701.29061

This paper proposes a kinetic method for estimating parameters of the hindered internal rotation potential in molecules exhibiting rotational isomerism. Using infrared spectra of crystalline propyl chloride, the authors follow the time-dependent disappearance of bands assigned to the gauche isomer a…

Some estimates from the theory of tabulation

A. G. VITUSHKIN
1957 SovietRxiv: ru-195701.29038

This paper studies lower bounds for tabulating and reconstructing functions from finite stored data under restrictions on the number of arithmetic operations. It formalizes an epsilon-representation by piecewise rational functions with parameters and barriers, then relates the number of stored param…

Sulfochlorination of Methane with Gaseous Sulfur Dioxide and Chlorine

G. V. GRYAZNOV, A. V. TOPCHIEV, and G. M. TSIGURO
1957 SovietRxiv: ru-195701.28977

This study examines the direct sulfochlorination of methane with gaseous sulfur dioxide and chlorine as a route to methanesulfonyl chloride, a compound not previously obtained effectively by direct reaction. Experiments using ultraviolet and X-ray irradiation produced mainly chlorinated methanes and…

New Tropylium Salts. Polarography of the Tropylium Ion

M. E. VOL'PIN, S. I. ZHDANOV, and D. N. KURSANOV
1957 SovietRxiv: ru-195701.28846

This paper reports the preparation and characterization of three new salts of the tropylium ion: the chloroplatinate, perchlorate, and tetraphenylborate. The salts were obtained by exchange reactions from aqueous tropylium bromide, and their solubilities, stability, elemental analyses, and ultraviol…

Representation of Solutions of the Euler–Poisson–Darboux Equation in Terms of Analytic Functions

Yu. P. KRIVENKOV
1957 SovietRxiv: ru-195701.28784

This paper studies local and global representation of solutions of the Euler, Poisson, Darboux equation with parameter 0 < c < 1 near an interval of the singular line y = 0. It proves that if either the boundary trace or the weighted normal derivative has analytic values on the interval, then the so…

On the Formation of Polymeric Hydrocarbons during the Decomposition of Aliphatic Diazo Compounds

V. V. KORSHAK and V. A. SERGEEV
1957 SovietRxiv: ru-195701.28711

This study compares the decomposition of diazomethane, diazoethane, diazotoluene, diazodiphenylmethane, and selected mixtures in the presence of metallic copper and boron compounds, focusing on the formation of polymeric hydrocarbons. The authors report that trimethyl borate promotes quantitative po…

Magnetic Machine for Achieving Ultra-Low Temperatures

R. A. Chentsov
1957 SovietRxiv: ru-195701.28209

The development of continuous-action machines for obtaining ultralow temperatures is a major achievement of cryogenic engineering. There is no doubt that these machines will continue to develop and improve and will help in resolving many questions of superconductivity, superfluidity, and other probl…

Synthesis and analytical properties of alkali metal tetra( $\alpha$ -thienyl)borate and tetra( $n$ -anisyl)borate salts

V. A. Sazonova, E. P. Serebryakov, and L. S. Kovaleva
1957 SovietRxiv: ru-195701.28145

This paper reports the synthesis of potassium tetra(alpha-thienyl)borate and potassium tetra(n-anisyl)borate by reactions of organomagnesium iodides with potassium borofluoride, along with rubidium, cesium, and thallium(I) derivatives obtained by precipitation. It examines the aqueous solubilities a…

Surface Tension of Ternary Metallic Solutions $\mathrm{Hg}$ – $\mathrm{Cd}$ – $\mathrm{K}$ at $22^\circ$

Unknown
1957 SovietRxiv: ru-195701.28144

This paper investigates the surface tension of ternary metallic solutions in the mercury, cadmium, potassium system at 22 °C as a test of V. K. Semenchenko’s molecular theory of surface phenomena in multicomponent solutions. Using a combined apparatus, the authors measured 170 amalgams containing up…

Preparation of Aldehydes by Reduction of Nitriles with Diisobutylaluminum Hydride

L. I. ZAKHARKIN and I. M. KHORLINA
1957 SovietRxiv: ru-195701.27788

This paper reports the use of diisobutylaluminum hydride as a reagent for converting nitriles to aldehydes through formation and hydrolysis of organoaluminum imine intermediates. A range of aliphatic, aromatic, heteroaromatic, dinitrile, and chloro-substituted nitriles was reduced under nitrogen in …

Meteorological Characteristics of the Interior Region of East Antarctica Based on Observations at Pionerskaya Station

Unknown
1957 SovietRxiv: ru-195701.27648

This article presents the first meteorological characterization of the interior high plateau of East Antarctica based on nine months of observations at Pionerskaya Station, the first continuously operating inland Antarctic station. Using standard meteorological measurements supplemented by near-surf…

Measurement of total cross sections $\sigma_t$ for neutrons with $E_n=14,8$ MeV by counting $(n,\alpha)$ coincidences

Unknown
1957 SovietRxiv: ru-195701.27415

This paper reports a method for measuring total neutron cross sections at 14.8 MeV using coincidences between neutrons and alpha particles from the D2(T,n)He4 reaction. A narrow beam of correlated neutrons was selected by registering monochromatic alpha particles, reducing background contributions, …

On a Functional Space and Some Extremal Problems

L. V. KANTOROVICH and G. Sh. RUBINSHTEIN
1957 SovietRxiv: ru-195701.27239

This paper introduces a normed space of completely additive set functions on the Borel sets of a metric compact space, with a norm defined through the metric rather than total variation. It identifies the dual of the zero-mass subspace with Lipschitz functions modulo constants, extends the construct…