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This study examines the infrared spectra of complexes formed by ethylene, substituted olefins, and cycloolefins with aluminum chloride and aluminum bromide under vacuum, including low-temperature preparation to limit polymerization. The spectra show intense bands near 1540 to 1500 cm-1 assigned to a…
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This paper examines the dissociation constants of carbonic acid at elevated temperatures, a parameter needed for interpreting carbon dioxide bearing hydrothermal systems and related carbonate equilibria. Electrical conductivity measurements of carbon dioxide, sodium carbonate, and sodium bicarbonate…
R. Sh. NIGMATULLIN
A theoretical model is developed for an electrochemical diode consisting of an oxidation reduction electrolyte and a spherical microelectrode, under conditions where migration, convection, and double-layer charging may be neglected. The analysis formulates diffusion equations with electrode reaction…
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This paper investigates radiationless energy transfer from aromatic donor molecules in the triplet state to singlet excited states of acceptor molecules in solid solutions at low temperature. Using phosphorescence lifetime shortening, phosphorescence yield quenching, spectral overlap comparisons, an…
O. B. MOSKALEV, V. A. CHUYANOV
This paper studies nonlinear transport equations arising in nuclear reactor theory, including reactor design with prescribed spatial heat release and flux dependent material temperatures. The authors formulate the neutron flux problem as a nonlinear eigenvalue equation for a positive integral operat…
Unknown
This paper studies error estimates for numerical integration of periodic multivariate functions whose absolutely convergent Fourier coefficients satisfy prescribed decay conditions. Using methods related to Korobov’s lattice constructions, it proves auxiliary counting and congruence lemmas that allo…
Unknown
This paper examines asymptotic expansions for a weakly interacting nonideal Bose-Einstein system in the neighborhood of the phase transition temperature, where earlier expansions in either the interaction strength or condensate density become nonuniform. Using a modified scaling in which the tempera…
Unknown
This study examines the electrochemical and corrosion behavior of titanium in 10 N sulfuric acid under sinusoidal alternating-current polarization at frequencies from low tens to several thousand hertz. Using VT-1 titanium electrodes, the authors measured half-period electrode potentials, current am…
V. M. VOLOSOV, B. I. MORGUNOV
The paper studies stationary resonant regimes in a class of weakly perturbed nonlinear oscillatory or rotational systems with slowly varying parameters. After transforming the equations near a resonance condition between the natural and forcing frequencies, the authors develop a specialized averagin…
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This paper develops a framework for constructing stress strain relations for a broad class of complex continuous media built from elastic, viscous, and plastic deformation mechanisms. Using one-dimensional and two-dimensional dynamical models, it introduces an indexing scheme for combinations of mec…
N. N. KOCHINA
This paper studies the dynamic explosion of equilibrium in an ideal self-gravitating medium under spherical symmetry and zero temperature gradient in the disturbed region. Starting from the equations of unsteady motion, equilibrium conditions, shock-front jump conditions, and conservation of total e…
Corresponding Member of the USSR Academy of Sciences A. V. BITSADZE
This note studies the homogeneous oblique derivative problem for harmonic functions in bounded three-dimensional domains when the prescribed boundary vector field is tangent to the boundary on a nonempty set, a case not covered by the standard theory. Using the maximum principle and Zaremba’s bounda…
The question of the possibility of a reaction of the type
This study examines whether thermal hydrogen atoms can abstract deuterium from solid deuteropolyethylene to form HD, a process relevant to explanations of hydrogen formation during hydrocarbon radiolysis. Hydrogen atoms generated on a hot tungsten filament were directed onto deuteropolyethylene samp…
Let us consider the differential expression
This note studies singular non-self-adjoint differential operators of even order on the half-line with complex locally summable coefficients and general boundary conditions at the origin. Using asymptotic representations of fundamental solutions of the equation l(y) = lambda y, it characterizes squa…
B. Ya. Teitelbaum, T. A. Yagfarova, N. P. Anoshina, V. A. Naumov
This study examines the crystallization kinetics of polychloroprene rubber, nairit, after melting of the crystalline phase by heating to 50 °C and subsequent holding at room temperature or 0 °C. Thermomechanical curves were used to follow changes in deformability and to derive indices of crystalliza…
E. T. Antropov, A. P. Dronov, N. N. Sobolev, V. P. Cheremisinov
This study experimentally determines the electronic transition matrix elements and oscillator strengths for selected bands of the gamma and beta systems of nitric oxide. Integral absorption coefficients were obtained from photometric analysis of absorption spectra recorded in a high pressure heated …
I. M. GELFAND, M. I. GRAEV
This paper gives an inversion and Plancherel formula for the group of second order unimodular matrices over a nondiscrete locally compact field, focusing on the case of a totally disconnected field with residue characteristic not equal to 2. Using the previously described irreducible unitary represe…
L. P. SOLOV’EVA, N. V. BELOV
This note reinterprets the crystal structure of hodgkinsonite, previously solved by direct methods, and argues against the proposed analogy with norbergite. Using a polyhedral model and a transformed crystal-chemical cell, the authors describe hodgkinsonite as a two-layer hexagonal closest packing o…
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This study examines diffusion in the secondary pores of granulated type A zeolites, a factor needed to relate overall diffusion rates to transport in primary and intercrystalline pore systems. Diffusion coefficients for benzene and carbon tetrachloride vapors were measured by a stationary diffusion …
Unknown
This study examines ion electromigration in absolute sulfuric acid in relation to proposed autoprotolytic formation of bisulfate and sulfur-containing cations. Using a radioisotope variant of the Hittorf method with sulfur-35 labeled acid, the authors measured transport during electrolysis and found…
B. V. DERYAGIN, M. A. AL’TSHULER
This paper analyzes capillary impregnation of spherical porous granules and the accompanying diffusional extraction when a soluble substance occupies only part of the pore volume. Using Darcy’s law in a quasi-stationary approximation, the authors derive equations for the impregnation rate, limiting …
E. M. Khazen
This paper develops a nonlinear closure for describing the onset and growth of turbulence in viscous incompressible flow beyond the small fluctuation regime treated by linearized or Gaussian approximations. It proposes a moment hypothesis relating fifth-order central moments to products of second- a…
Z. G. Sheftel
This note establishes a priori estimates in Sobolev norms \(L_p\), for \(p>1\), for solutions of elliptic equations with discontinuous complex coefficients across an interface, subject to general boundary and conjugation conditions. The argument reduces the problem to local estimates near the surfac…
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This note studies the decidability of systems of equations with one unknown in free groups. Building on Lyndon’s work on single equations, it shows that any solution of such a system must occur among values of finitely many parametric group elements of the form \(A S^m B T^n C\), with bounded word l…
P. S. NESTERENKO
This study examines the photoelectret state in untreated CdS single crystals at room temperature and compares its spectral behavior with photoconductivity, photodepolarization, dark polarization, and infrared quenching. Measurements using monochromatic illumination and photodepolarization currents s…
Unknown
This paper applies Brewster’s method for calculating molecular rotation to optically active organomercury compounds and to the stereochemistry of mercury salt addition to olefins. Using atomic refraction values, including an estimated value for mercury, the authors calculate rotations for known orga…
M. G. GASIMOV, B. M. LEVITAN
The paper studies trace type formulas for pairs of singular Sturm-Liouville operators on the half-line whose spectra are discrete and which differ in the boundary condition at the origin, and later also by a finite perturbation of the potential. Using finite interval approximations, interlacing of e…
Unknown
The paper investigates magnetic field lines produced by helical currents flowing on the surface of a torus, a configuration relevant to stellarator theory. Using the Biot-Savart law, the field components are derived in toroidal coordinates and expanded for small minor-to-major radius ratio, showing …
Unknown
The paper studies the realization of Boolean functions by formulas over finite bases, focusing on how formula length for individual functions depends on the chosen basis. It introduces a preorder and equivalence relation on bases defined by constant-factor comparison of minimal formula lengths, prov…
Unknown
This paper studies irreducible unitary representations of the group SL(2,K), where K is an arbitrary locally compact nondiscrete field. It constructs the principal continuous series from multiplicative characters of K, realizes these representations through Fourier transforms and generalized kernels…
N. A. Simukova
This study examines whether O-methylhydroxylamine can be used to selectively modify cytosine residues in RNA and thereby facilitate selective enzymatic cleavage for primary structure analysis. RNA and polycytidylic acid were treated with O-methylhydroxylamine under mild conditions, followed by alkal…
Unknown
The paper introduces and studies vector ordered analogues of Hausdorff eta sets, called eta lineals, under set theoretic hypotheses including the generalized continuum hypothesis and, in applications, the continuum hypothesis. It proves isomorphism theorems for eta lineals of prescribed cardinality,…
Unknown
This paper reports the isolation and preliminary structural study of a new glycoside, named reoselin, from the ether-insoluble fraction of acetone-extracted root resin of Ferula pseudoreoselinum. The compound was characterized by melting point, optical rotation, elemental analysis, hydrolysis, hydro…
G. D. ZAKUMBAEVA
This study examines how cadmium ions affect hydrogen adsorption on a palladized platinum electrode, using anodic and cathodic charging curves in sulfuric acid solutions containing cadmium sulfate, chloride, or iodide at varying concentrations and temperatures. The results show that cadmium adsorptio…
Unknown
The paper studies high frequency asymptotics of the Green’s function for stationary diffraction by a polyhedral angle with ideal boundary conditions, using the singularities of the corresponding nonstationary Green’s function near the spherical wave front scattered by the vertex. It derives a ray ex…
I. D. Novikov, L. M. Ozernoi
This paper examines light propagation in the strong spherically symmetric gravitational field of a body whose surface may lie inside the Schwarzschild singular sphere, where the usual Schwarzschild coordinates are not applicable. Using the Lemaître reference system, the authors derive equations for …
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The paper studies exact best uniform trigonometric approximations and Kolmogorov widths for periodic function classes whose derivatives have a prescribed modulus of continuity. Extending earlier results for zeroth and first derivatives, it develops estimates by comparison with Lipschitz-type classes…
I. A. Veldre, and N. N. Tikhon
Thus, for example, for the lower critical load under axial compression of a cylindrical shell, the formula
This note examines lower critical loads for comparatively thick cylindrical shells whose postcritical deformations may produce stresses beyond the elastic limit of a material with limited elasticity. Building on earlier treatments for shells of unlimited elasticity, it argues that the ridge formatio…
E. A. Koltypin, G. B. Yan’kov
This paper reports measurements of neutron strength functions for separated isotopes Ni-62, Se-80, Cd-114, and Sn-118 in the 50 to 400 keV neutron energy range. Using neutrons from the T(p,n)He-3 reaction, the authors determined deviations of sample transparency from exponential attenuation by compa…
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This paper examines the use of zone melting to identify crystallization fields, crystallization paths, and eutectic compositions in molten salt systems with two to five components. Salt mixtures of known composition were subjected to repeated passage of a narrow molten zone, after which compositions…
Unknown
This paper examines changes in the sign of birefringence in glassy polymers under deformation, focusing on pure and copolymer systems of methyl methacrylate, styrene, and benzyl methacrylate. The authors investigate how the optical coefficient depends on time, applied stress, temperature, and copoly…
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The paper examines the origin of minima in time curves of potential shift for platinized platinum electrodes after introducing organic substances in acidic solutions. Using potential measurements and gas analysis for acetaldehyde, propanol, and butanol, the authors argue that the observed minimum re…
N. P. BOGACHEV, E. L. GRIGOR'EV, Yu. P. MEREKOV
This paper reports a measurement of the cross section for formation of Li8 fragments in nuclear emulsion irradiated by 9 BeV protons, addressing the limited data available above 1 BeV. NIKFI-R emulsions exposed at the Joint Institute for Nuclear Research synchrophasotron were scanned along primary p…
Unknown
This paper examines why experimentally determined optical anisotropy of polymer segments can vary with solvent, contrary to the assumption that it reflects only the intrinsic anisotropy of the macromolecule. Using data on dynamic birefringence and viscosity for several polymers, including polyvinyl …
V. I. GAVRILOV
This note studies boundary limit behavior of pseudoanalytic functions in the unit disk, focusing on the set of cluster values at a boundary point after excluding values forced by prescribed approach curves ending at nearby boundary points outside a closed exceptional set. Under the assumption that t…
M. S. AGRANOVICH, M. I. VISHIK
This note studies general elliptic boundary value problems for systems in a bounded domain whose differential and boundary operators depend polynomially on a complex parameter lying in an angle. It formulates algebraic semi-boundedness conditions, extending the ellipticity and Lopatinskii conditions…
Unknown
This paper reports a ground-based method for studying the behavior of liquids under transient weightlessness, motivated by earlier theoretical work on the equilibrium and oscillatory forms of non-wetting and ideally wetting liquids. The author describes a freely falling instrumented projectile conta…
Unknown
The note addresses a problem of Hua Loo-keng concerning whether a two-dimensional affine lattice point set can contain infinitely many pairs of prime coordinates. For the case in which the determinant of the two linear forms in the variables is nonzero, the author introduces a weighted prime-countin…
Let us consider a system of Volterra integral equations
The paper studies stability of systems of Volterra integral equations by reducing nonlinear or complex systems to majorant linear systems with nonnegative kernels and applying integral inequalities and generalized norming. It gives necessary and sufficient stability criteria for linear Volterra syst…