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This paper examines how solvent nature affects the viscosity and activation heat of viscous flow in concentrated polymer solutions over a broad concentration range. Viscosities of polyisobutylene and polystyrene solutions in several solvents were measured at low shear rates and at 20, 35, and 50 deg…
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The study examines how solvent properties influence the thermal rearrangement of 1,1′-, 1,2′-, and 2,2′-hydrazonaphthalenes, with primary attention to the complex behavior of 1,1′-hydrazonaphthalene. Rearrangements were carried out in solvents of differing polarity and dielectric character, and the …
Academician of the Academy of Sciences of the Belorussian SSR B. I. STEPANOV and A. M. SAMSON
This paper analyzes how noise radiation affects the spectral composition and angular distribution of emission from a finite plane-parallel layer with negative absorption. Using wave-optical expressions derived from Maxwell’s equations together with a nonlinear absorption coefficient, the authors com…
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This study examines phase equilibria in complex iron-based austenitic alloys using a seven-component Fe-Cr-Ni-Mn-Nb-V-Si gamma solid solution as the base composition. Treating this homogeneous base alloy as a single component, the authors investigated additions of titanium, aluminum, and tungsten al…
Academician A. E. Arbuzov, F. G. Valitova, A. V. Il’yasov, B. M. Kozyrev,
The paper reports the synthesis and electron paramagnetic resonance study of the stable free radical alpha,alpha-diphenyl-beta-pentaphenylcyclopentadienylhydrazyl in solution and in the crystalline state. EPR spectra in several solvents show seven main hyperfine components attributed to coupling wit…
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This study addresses discrepancies in reported heats of vaporization for boron oxide, attributed in part to experimental difficulties such as dehydration and vapor composition control. The authors refine the value using evaporation from a molybdenum effusion cell combined with mass spectrometric det…
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This paper justifies Dirichlet’s principle for the first boundary-value problem in a class of nonlinear elasticity models where the deviators of strain and stress are related by a hardening law. The argument formulates the displacement problem as minimization of a uniformly convex energy functional …
E. G. PEREVALOVA, S. P. GUBIN, S. A. SMIRNOVA, A. N. NESMEYANOV
The study examines how one ferrocenyl nucleus affects the oxidation-reduction properties of another when two ferrocenyl groups are connected directly or through linkers such as mercury, methylene, ethylene, ether, and ammonium-containing groups. Formal redox potentials were determined by potentiomet…
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The paper analyzes temperature separation during free molecular expansion of an initially equilibrium ideal gas into vacuum, assuming noninteracting particles with an initial Maxwellian velocity distribution. It formulates density and energy integrals for centrally symmetric initial volumes and deri…
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This paper reports the preparation and photoelectric characterization of lead oxide single crystals grown by slow cooling from concentrated alkaline solution. Among several crystal habits obtained, appreciable visible photoconductivity was observed only in red crystals, whose dark resistance, temper…
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The paper gives probabilistic formulations and asymptotic estimates for two combinatorial optimization problems with random data: the Euclidean traveling salesman problem and the assignment problem. For independent random points in Euclidean space with density, it constructs lower and upper random e…
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This note examines stationary adiabatic motions of an ideal gas in special relativistic hydrodynamics, allowing entropy to vary between streamlines. By introducing a pseudo-velocity, auxiliary density, and heat function, the relativistic conservation equations are transformed into the equations for …
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The paper studies when a second-order ordinary differential equation with two-point boundary data can be represented by a Massau nomogram, so that solutions are determined by collinearity relations on two scales and a point of constants. It proves a necessary and sufficient condition: the general so…
Let us consider the differential equation
This paper extends Marchenko’s spectral expansion theory for non-self-adjoint singular second order differential equations from the half-line to the whole real line. For the equation with locally summable complex potential, the author uses transformation operators relating the fundamental solutions …
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This paper studies extremal problems for analytic functions in the unit disk equipped with Orlicz and Luxemburg norms, extending known results for Hardy classes. It defines the corresponding analytic Orlicz classes, identifies them with boundary Orlicz spaces intersected with H1, and establishes com…
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This paper investigates the vapor-phase oxidative dehydrogenation of industrial n-butylene fractions to divinyl over mixed oxide catalysts containing metals of groups V and VI on supports. Experiments in a flow reactor at atmospheric pressure examined the effects of temperature, space velocity, oxyg…
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This paper examines discrepancies between calculated and experimental second moments of proton nuclear magnetic resonance signals in solids, especially ice, where rigid-lattice Van Vleck calculations give values below observation. The authors argue that the zero-point uncertainty of proton positions…
In the present paper a solution of the indicated problem is given for the simplest example of a cantilever rod.
This paper examines how small velocity-dependent friction affects the critical load and stability boundary of a compressed cantilever rod subjected to end weight and a follower force. Using a two-degree-of-freedom model with end deflection and rotation as generalized coordinates, the authors derive …
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This paper examines the origin of the strong anisotropy of cathode sputtering coefficients in single crystals, focusing on the proposed role of focused atomic collisions that transfer ion energy into the crystal interior. Using zinc single crystals with a hexagonal close-packed lattice, the authors …
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This paper derives index formulas for systems of two-dimensional singular integral equations on a smooth closed surface and for boundary value problems for systems of harmonic functions in a three-dimensional domain. For a normally solvable singular integral system with invertible symbol, the index …
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This paper examines the interaction between the intermetallic compounds Ni3Al and Ni3Nb, a problem relevant to phase formation and properties in complex alloy systems. Alloys across the Ni3Al, Ni3Nb section were prepared by arc melting and studied by thermal, metallographic, X-ray phase, hardness, a…
L. S. BRESLER, B. A. DOLGOPLOSK, M. F. KOLECHKOVA and E. N. KROPACHEVA
The study examines the copolymerization of butadiene with isoprene under anionic conditions using complexes of n-butyllithium with triethylamine or tetrahydrofuran. Polymerizations were conducted at low conversion under argon, and copolymer composition was determined using carbon-14 labeled butadien…
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This paper examines the valence state and magnetic behavior of uranium in U2O5, addressing whether the oxide should be regarded as a pentavalent uranium compound or as a mixed UO2·UO3 compound containing tetravalent and hexavalent uranium. Magnetic susceptibilities of two U2O5 preparations, along wi…
G. V. ODABASHYAN, T. A. ZHURAVLEVA, and A. D. PETROV
The study examines the synthesis of bridged organosilicon monomers by adding dichlorosilane to vinyl- and allylsilanes in the presence of chloroplatinic acid, a route relevant to polymers containing alternating siloxane and carbon-carbon linkages. A series of reactions was carried out in an autoclav…
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The paper develops an analytic method for solving Shuleikin’s winter monsoon temperature anomaly equation over seas with complex coastlines by treating added homogeneous solutions as controlled deformations of an initial boundary contour. The method is illustrated for an approximating contour of the…
S. P. MAKAROV, V. A. SHPANSKII, V. A. GINSBURG, A. I. SHCHEKOTIKHIN,
This paper examines the reactivity of trifluoronitrosomethane and related polyfluorinated unsaturated compounds toward a range of unsaturated substrates beyond polyfluoroolefins. Through autoclave and low-temperature reactions with olefins, acetylenes, ketenes, azodicarboxylic esters, diazo compound…
M. A. RUTMAN
The paper establishes a criterion for bounded solvability of a Cauchy, Goursat problem for linear partial differential equations in several variables with Banach-space-valued unknowns and a distinguished highest derivative term. Under compactness and weak variation at infinity assumptions on the ope…
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This paper investigates the piezospectroscopic effect in synthetic ruby crystals as a means of identifying the nature of chromium-related absorption and luminescence centers. Oriented crystals were subjected at 77 K to uniaxial compression along selected crystallographic directions, and shifts, spli…
A. P. Terent'ev, E. G. Rukhadze, V. M. Vozzhennikov, Z. V. Zvonkova, N. S. Oboladze, I. G. Mochalina
This study examines how atomic structure affects the semiconductor properties of chelate polymers and related monomeric metal dithiocarbamate complexes containing copper, cobalt, zinc, and comparable metal-free precursors. Electrical conductivity was measured as a function of temperature, and activa…
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This paper develops a general theoretical description of how metal surface microgeometry changes during anodic dissolution under a near-anode layer or surface film whose effective thickness exceeds the scale of the microrelief. Using Faraday’s law and series expansions of the dissolution current den…
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The paper develops implicit finite difference schemes for nonstationary partial differential equations in which the main operator is split into lower dimensional, often one dimensional, factors. This construction is presented as a way to retain absolute stability while reducing the computational cos…
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This paper examines the physical conditions under which hail forms in convective clouds and evaluates cloud modification methods intended to prevent damaging hailfall. Drawing on prior observational and experimental studies, it formulates criteria involving cloud-top temperature, updraft velocity, m…
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This paper studies invariants of finite undirected multigraphs with loops and parallel edges through deletion and contraction recurrences for normal edges. It defines polynomial functions satisfying these recurrences, establishes their invariance properties, multiplicative behavior, and special valu…
R. M. Mints
The paper studies isolated equilibrium states of analytic or sufficiently differentiable autonomous differential systems in n-dimensional space when the linearization has one zero characteristic root and all remaining roots have nonzero real parts. Using Lyapunov’s normal form, the analysis classifi…
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This paper examines whether differences previously observed between mercury and solid metal electrodes arise from the solid state itself or from the individual properties of particular metals. Differential capacitance was measured as a function of potential for liquid and solid gallium, and for liqu…
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The paper studies the sign behavior of the Green function for an n point linear boundary value problem for finite difference equations. Extending Mammana’s theory to difference equations, it proves that nonoscillation of the associated homogeneous equation is equivalent to a factorization of the dif…
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This paper studies an inverse problem in radiative transfer: determining the scattering indicatrix of a medium from the asymptotic angular distribution of monochromatic radiation in a thick layer. For a class of nonnegative square-integrable indicatrices with positive absorption, the author analyzes…
B. L. Rozhdestvenskii
This paper develops a method for constructing generalized discontinuous solutions for a system of two first order quasilinear hyperbolic conservation laws. Under structural assumptions expressed in Riemann invariants, including monotonicity, Hugoniot curve conditions, and shock admissibility inequal…
V. N. ZUBAREV and G. S. TELEGIN
This paper reports shock compression measurements for liquid nitrogen and solid carbon dioxide, substances relevant to the products of condensed explosive detonation, at pressures far beyond those accessible by static methods. Plane shock waves were generated using explosive charges and high velocit…
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This note addresses the long-standing stability problem in celestial mechanics, focusing on small denominators, resonances, and the limitations of classical perturbation series for planetary motion. For the planar three-body problem with two small planetary masses and small eccentricities, it proves…
B. Ya. Yampol’skii, Yu Shu-Shu, and Academician P. A. Rebinder
This paper examines the mechanism of structure formation in hydrocarbon suspensions of carbon black as model systems for understanding active rubber fillers. Using electrical conductivity measurements, current-voltage curves, and observations of thixotropic structural-mechanical behavior, the author…
V. F. Gachkovskii
This study quantitatively examines the universal fluorescence spectra of several polymers using an ISP-73 spectrosensitometer, extending earlier qualitative observations on the relation between spectral structure and molecular weight. The measurements show that fluorescence depends on chemical struc…
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This study examines the binding and sorption of water vapor in low temperature calcium hydrosilicates with CaO to SiO2 ratios from 0.1 to 1.0, a point left unclear in earlier work on the CaO, SiO2, H2O system. Samples prepared by reacting silica gel with calcium hydroxide were characterized by water…
I. D. Legenya
The paper analyzes the stability loss of a thick rectangular simply supported plate uniformly compressed in one direction, treating the material as incompressible and plastically deformable. It formulates the problem using elastic-plastic flow theory for an anisotropically hardening material, derive…
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The paper studies estimation of an unknown probability density from independent observations by projecting the empirical measure onto finite-dimensional subspaces of a weighted Hilbert space, thereby generalizing the histogram method. It analyzes the tradeoff between approximation error and sampling…
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The paper studies enumeration problems for planar graphs and planar realizations motivated by the synthesis of logical and contact circuits. It develops combinatorial encodings of plane rooted trees as “rivers” and of certain planar structures as rosettes, using these constructions to bound the numb…
B. V. DERYAGIN, M. A. AL’TSHULER
This paper develops a diffusion model for extraction of substances from porous materials during capillary impregnation, focusing on pores whose walls carry a thin soluble or adsorbed layer and whose remaining volume initially contains gas. By treating transport in a moving coordinate system attached…
B. A. TVERSKOI
The paper examines how a magnetic field affects the growth of acoustic wave amplitudes in a medium whose density decreases, a process that in gas dynamics can lead to cumulative acceleration and shock formation. Using linear magnetohydrodynamics, it analyzes small vertical oscillations in an isother…
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The paper addresses the difficulty of preparing beta-substituted and 2,3-disubstituted furans by direct substitution when an alpha position remains available. It proposes a route from 2-substituted furans through bicyclic condensed intermediates containing a removable sulfur bridge between the secon…
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The study examines immobilized water in hydrophilic disperse systems, especially peat humic colloids, under the influence of structure-forming calcium and sodium additives. Using radioactive indicators, including labeled sulfate and calcium chloride, the authors distinguish nonsolvent water into phy…