I. V. Shragin
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…
Zh. S. Takibaev
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…
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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, …
A. F. VOMPE and N. F. TURITSYNA
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…
Academician of the Academy of Sciences of the BSSR A. N. SEVCHENKO and G. P. GURINOVICH
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…
L. T. Baradzei, V. I. Rubtsov, Yu. A. Smorodin, M. V. Solov’ev,
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,…
F. I. Vilesov and A. N. Terenin
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…
Chr. Ya. Khristov
This paper develops an approximate treatment of the diffusion of identical charged particles in a homogeneous, time independent medium subject to a homogeneous electromagnetic field. Starting from an integral equation for the transition probability of particles that may scatter, be absorbed, or gene…
S. G. KREIN
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…
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This study examines how surface-active additives affect the dry vibrational grinding of Portland cement in a laboratory vibratory mill. Hydrophilizing and hydrophobizing substances were added in varying concentrations, and grinding kinetics, specific surface area, and particle-size distributions wer…
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This paper reports observations of circular polarization in solar radio emission from sunspot regions at a wavelength of 3.2 cm, obtained from July to September 1956 with a modernized polarization radiometer at the Main Astronomical Observatory. The instrument’s improved sensitivity allowed reliable…
V. V. KRIVITSKII and A. A. REUT
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…
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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…
V. L. Indenbom
G. Fridman
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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…
G. I. NATANSON
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…
Academician I. N. Nazarov, L. A. Yanovskaya, B. P. Gusev,
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 …
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This note studies the reduction of quasiunitary operators in Hilbert space to triangular form, under finite-dimensional nonunitarity and a regularity condition inside the unit disk. It defines a normalized characteristic matrix function for such operators and uses Potapov’s factorization theorem to …
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This paper studies finite difference methods for the numerical solution of a model parabolic boundary value problem and seeks explicit schemes with less restrictive stability conditions than the classical explicit method. It introduces a family of difference operators that includes the Crank, Nicols…
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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…
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B. V. RAUSHENBAKH
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 …
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This study examines the electrolysis of CaO, Al₂O₃, and SiO₂ melts, focusing on the identification of cathodic products and the factors governing current efficiency. Using liquid cast iron and copper cathodes to capture reduced species, the authors measured silicon and aluminum deposition across sla…
S. M. NIKOLSKII
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…
N. I. Shuikin and I. F. Bel’skii
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…
V. N. Lazukin
N. D. ZHEVANDROV and V. P. NIKOLAEV
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…
I. Z. ROZENKNOP
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…
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This paper develops an approximate treatment of plane, unsteady potential motion of an incompressible fluid with a free surface in a narrow channel. Using Lavrent'ev's conformal mapping formula for narrow regions, it derives asymptotic evolution equations for the free surface and velocity potential,…
V. A. Pozdyshev, Yu. A. Pentin, and V. M. Tatevskii
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…
A. G. VITUSHKIN
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…
G. V. GRYAZNOV, A. V. TOPCHIEV, and G. M. TSIGURO
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…
Yu. I. ZHURAVLEV
This paper studies partially defined Boolean functions on vertices of the n-dimensional unit cube and asks how to complete them so that the resulting function has a disjunctive or conjunctive normal form with the fewest variable letters. It formulates the problem as logical separability of two disjo…
M. E. VOL'PIN, S. I. ZHDANOV, and D. N. KURSANOV
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…
Yu. P. KRIVENKOV
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…
V. V. KORSHAK and V. A. SERGEEV
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…
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This paper examines whether variability in the Sun’s magnetic fields can account for the high temperature of the solar corona. It combines observational arguments for variable general and local solar magnetic fields with order of magnitude estimates of magnetic energy, damping times, magnetohydrodyn…
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This paper examines ion antagonism in the coagulation of lyophobic sols by mixed electrolytes, focusing on a system in which the auxiliary ion of the weaker coagulant is multivalent. Extending the Derjaguin and Landau treatment for charged colloidal plates, the authors calculate the critical coagula…
R. A. Chentsov
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…
V. A. Sazonova, E. P. Serebryakov, and L. S. Kovaleva
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…
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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…
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This study examines hydrogen redistribution during the catalytic transformation of 1,3-cyclohexadiene on vacuum-deposited palladium films, using infrared spectroscopy to analyze reaction products. Palladium films were prepared under high vacuum on glass reactors, and product mixtures were quantified…
N. D. SOKOLOV
This paper examines the empirical linear relation between activation energy and heat of reaction, often written for exothermic reactions as E = a minus bQ. Focusing on gas phase radical exchange reactions, it derives the relation by treating changes in the potential energy surface as arising from a …
L. I. ZAKHARKIN and I. M. KHORLINA
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 …
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This paper applies the long-wave method to a steady nonlinear problem of stably stratified airflow over a mountain, focusing on the effect of a linear vertical gradient in the incoming wind. Starting from simplified thermohydrodynamic equations that neglect turbulence and Coriolis force, it derives …
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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…
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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, …
L. V. KANTOROVICH and G. Sh. RUBINSHTEIN
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…