N. P. Keier, L. N. Kutseva
This study examines chemisorption on nickel oxide and nickel oxide solid solutions whose electronic properties are modified by dissolved lithium or iron oxides. Using pressure drop measurements and conductivity observations, the authors compare adsorption kinetics for oxygen, carbon monoxide, acetyl…
V. I. ZUBOV
The paper studies asymptotic stability of the zero solution for systems of ordinary differential equations whose right-hand sides are homogeneous functions. It derives necessary restrictions depending on the homogeneity order, establishes Lyapunov-type homogeneous functions satisfying associated dif…
A. A. BALANDIN and N. A. VASONINA
This paper examines the selective hydrogenation and hydrogenolysis of monosaccharides and polyhydric alcohols over nickel catalysts in aqueous solution under high hydrogen pressure. It critiques earlier mechanistic interpretations based on dehydrogenation or absolute free energies, and applies Balan…
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This paper formulates the problem of plane supersonic ideal-gas flow past a circular cylinder with an initially unknown detached shock wave, including boundary conditions on the body and shock. It applies the method of integral relations, replacing the flow region between the body and shock by a fin…
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This study examines the relative importance of electrostatic and diffusion mechanisms in the adhesion of polymer pairs and polymer contacts with glass, metal, and filled rubbers. Using roller adhesiometry in vacuum and air, measurements of work of separation, electron emission, residual surface char…
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The paper examines the use of chi-square goodness-of-fit statistics for testing independence in sequences of trials with finitely many states, especially against Markov chain alternatives. Using limiting normal distributions of transition-frequency vectors and their covariance matrices, it derives l…
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The paper studies unsteady isentropic gas flows in plane and spatial settings, with emphasis on self-similar motions in which the variables depend on spatial coordinates divided by time. Starting from the Euler equations and, for plane flows, the potential-flow formulation, it derives transformed eq…
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This paper studies the one-dimensional two-phase Stefan problem with a moving interface, emphasizing the nonlinearity introduced by the boundary condition at the phase boundary. The author reduces the problem to an infinite system of ordinary differential equations by expanding the temperature field…
H=H_0+H_{int},
This paper develops an asymptotically exact calculation of the thermodynamic potential for a class of fermionic pairing Hamiltonians relevant to superconductivity, including momentum-dependent interaction kernels. Using canonical transformations and statistical perturbation theory, the authors show …
D. I. ABUGOV
This paper examines the limits of stable flame propagation in gases when pressure and volume vary, conditions relevant to pulsating and piston engines where mechanical work exchange may dominate ordinary heat transfer. Using a simplified energy balance for a flame zone, the analysis incorporates che…
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This note studies spaces of closed rectifiable curves on a closed Riemannian manifold, with and without marked points and orientations, and relates their homology to the theory of closed geodesics. It identifies circular connectivities with mod 2 Betti numbers of appropriate curve spaces, gives form…
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This paper investigates how electric fields affect the conductivity and breakdown behavior of thin dielectric and semiconducting layers, focusing on oxide, sulfide, and related films about 30 to 1000 Å thick. Using metal substrates, thin surface layers, and contacts such as copper sulfide or telluri…
V. B. EVSTIGNEEV and V. A. GAVRILOVA
This study examines whether proton transfer participates in the formation of the primary photoreduced form of chlorophyll and related pigments. Using deuterium substitution in ascorbic acid, achieved by adding heavy water in pyridine solutions, the authors compared spectrophotometric and potentiomet…
O. V. Bragin, V. L. Broude, S. V. Zotova, A. L. Liberman,
This study examines the use of low-temperature ultraviolet absorption spectra for identifying the number and positions of side chains in benzene homologs. Spectra of purified tri- and tetraalkylbenzenes, para-disubstituted benzenes, and alkenyl-substituted compounds were recorded in crystalline or p…
A. Z. GOLIK and D. N. KARLIKOV
This paper examines the relation between viscosity and liquid structure using isoviscous liquid metal solutions, defined as solutions with coincident viscosity, temperature curves. Zinc and cadmium solutions in mercury with paired equal viscosities were studied by X-ray scattering, with scattered in…
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This paper studies functionally closed completely regular spaces, also known as Hewitt Q-spaces, through the behavior of continuous real-valued functions under extensions. It gives criteria for an extension to be regular in terms of closures of countable intersections of zero-sets, constructs a cano…
V. P. Batrakov
This paper analyzes electrochemical approaches to protecting metals and alloys from corrosion in strong oxidizing media, where high redox potentials can cause transpassivation and loss of protective film properties. Using polarization diagrams, it explains how protection may be achieved by lowering …
T. D. VENTSEL
The paper studies existence and uniqueness for Cauchy and first boundary value problems for one-dimensional quasilinear parabolic systems with coefficients depending on the unknown functions. Using Rothe’s method and a priori estimates for solutions and their derivatives, it proves solvability in re…
G. K. LEBED’
This note establishes several inequalities estimating derivatives of trigonometric and algebraic polynomials under pointwise or weighted norm constraints. It gives bounds for derivatives of trigonometric polynomials dominated by a nonnegative majorant with prescribed smoothness or modulus properties…
Ya. L. Geronimus
The paper studies positive definite Toeplitz forms and the associated orthonormal polynomials on the unit circle, focusing on the rate at which the ratios of consecutive Toeplitz determinants approach their limiting value. It introduces the quantity measuring this deviation and relates it to Verblun…
P. P. SHORYGIN and Z. S. EGOROVA
This study examines how substituents affect the optical, electrical, and chemical properties of monosubstituted benzenes. Using Raman line intensities near 1600 cm-1, molecular refraction exaltation, ultraviolet absorption data, dipole moment anomalies, and Hammett constants, the authors compare a b…
Water plays an important constitutional role in the compound obtained (²—⁴).
This study examines transformations of tungstate anions in aqueous sodium paratungstate and acidified sodium tungstate solutions, especially the effects of pH, heating, and aging. Using dialysis, polarography, ultraviolet absorption spectroscopy, chromatography, and anion-exchange behavior, the auth…
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This note defines a class of continuous mappings of subsets of Hilbert space, denoted by Lambda and by basis-dependent classes Lambda with two orientations, using asymptotic control of projections, half-space behavior, and boundedness of inverse images of bounded sets. It proves that mappings in Lam…
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This paper reports measurements of the temperature dependence of the spectroscopic splitting factor and relaxation time in ferromagnetic resonance for several sintered lithium zinc and nickel zinc ferrites. Using absorption and dispersion curves at about 9.4 GHz, together with resonance formulas acc…
Derivatives of 5-hydroxyindole, which underlies the structure of serotonin
This paper reports the synthesis of 5-methoxyindole derivatives related to 5-hydroxyindole, a structural element of serotonin and of compounds of interest as serotonin antimetabolites. A series of 2-aryl-5-methoxyindoles was prepared by condensing p-anisidine with substituted omega-haloacetophenones…
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This paper estimates the activation energy of the elementary chain propagation reaction between peroxy radicals and hydrocarbon molecules in the liquid phase oxidation of n-decane. Because hydroperoxide decomposition occurs concurrently with hydroperoxide formation, the authors derive a kinetic rela…
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The paper formulates a generalized model for radial displacement of gas-saturated oil by water in a circular reservoir, allowing for pressure-dependent oil and gas properties, deviations from ideal gas behavior, and changes in oil formation volume factor during degassing. Using material-balance rela…
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This note proves uniqueness for Frankl’s boundary value problem for the Chaplygin equation in a mixed domain, under symmetry and monotonicity assumptions on the coefficient and a geometric monotonicity condition on the boundary arc. Introducing a conjugate function satisfying a first order system, t…

This paper presents the theory of a two-degree-of-freedom kinematic chain that transforms the path of one point into the path of another. It derives the coordinate relation for the transformer, \(x=\xi\) and \(y=\xi^2/\eta\), and shows that the transformation is reversible. Several cases are analyze…
I. A. Arbuzova, V. N. Efremova, and I. K. Ulezlo
This study examines how solvent viscosity affects radical polymerization rates and polymer molecular size for acrylamide, methacrylamide, and methylolmethacrylamide. The authors compare ultraviolet initiated polymerization in water with polymerization in highly viscous glycerin, measuring conversion…
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This paper addresses the construction of the radial distribution function for a classical electron gas with Coulomb interactions, focusing on the failure of the standard Debye expansion at short distances where it can become negative. The authors reformulate Bogolyubov’s integral equations by factor…
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The paper examines the interpretation of conjugation and dual electrophilic addition in butadiene-1,3, focusing on the mesomeric and electromeric explanation associated with Ingold’s theory. It compares structural and spectroscopic evidence, especially C-C and C=C bond distances and vibrational freq…
N. I. BLOK, M. N. KOZLOVA, N. F. LASHKO, and K. Ya. SHPUNT
This paper examines the phase composition of nickel-boron alloys containing 0.01 to 2.5 percent boron, with particular attention to the nickel-rich boride reported as Ni3B. The authors used metallographic observation, chemical and electrolytic isolation of precipitated phases, chemical analysis, and…
V. P. KOROBEINIKOV
This note gives an exact solution for the one-dimensional adiabatic motion produced by an instantaneous release of finite energy in a gas whose initial pressure is constant and whose initial density varies with distance according to a specified parametric law. The problem is formulated for spherical…
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This paper examines how the sign of flow birefringence in polymer solutions depends on concentration, using the case of a polystyrene fraction in dioxane. The authors interpret birefringence as the sum of contributions from intrinsic macromolecular anisotropy and form anisotropy of a solvent-swollen…
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The paper proposes a method for reducing mixed boundary-value problems for certain partial differential equations to Riemann boundary-value problems, avoiding reliance on the Hopf and Wiener integral equation method. The argument is developed first for a modified Laplace equation in domains whose bo…
B. A. Ryvkin
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This study examines the passivation and depassivation of lead anodes in concentrated fluosilicic, perchloric, and fluoboric acids at low temperatures, with attention to critical current density, acid concentration, temperature, and stirring. Measurements of anode potential and current show that pass…
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N. V. Pushkov, S. Sh. Dolginov
The program of the International Geophysical Year (IGY) provides for geomagnetic measurements on artificial satellites and rockets, as a result of which experimental data should be obtained on the spatial distribution of the Earth's magnetic field at high altitudes. This article considers some geoph…
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The study examines the liquid-phase oxidation kinetics of dibenzyl and dicyclohexylethane in a closed circulation apparatus by measuring oxygen uptake and analyzing hydrocarbon consumption and oxidation products. For dibenzyl, the S-shaped oxygen absorption curves, exponential initial behavior, and …
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This note studies the Goursat problem for first order hyperbolic systems of differential equations with two independent variables, with data prescribed on straight lines and with solutions not assumed analytic. Using reduction to characteristic variables and Mellin transform methods, it derives crit…
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This note proves convergence and derives error estimates for the method of lines applied to several boundary value problems for systems of partial differential equations. A general lemma relates the approximation error to the norm of the inverse differential difference operator and the consistency e…
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The paper studies uniform equiconvergence on arcs of the unit circle between Fourier-Chebyshev expansions in orthonormal polynomials with respect to a weight and the ordinary Maclaurin expansion for analytic functions in the Hardy class H2. It proves that, under local positivity and a Dini-Lipschitz…
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This study investigates whether polarization diagrams of crystal luminescence can be used to infer molecular orientation in stilbene single crystals while avoiding large birefringence corrections. Spherical crystals and hemispheres cut in selected optical planes were prepared, oriented by conoscopic…
Academician of the Academy of Sciences of the BSSR B. I. STEPANOV and P. A. APANASEVICH
This paper examines how secondary luminescence should be classified, questioning the sufficiency of Vavilov’s criteria based on quenching and afterglow duration. Using a classical dipole model and a quantum electrodynamic treatment of a three-level atom interacting with a medium, it compares station…
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This paper examines the mechanism of alcohol alkylation by optically active N-trimethyl-alpha-phenethylammonium iodide, focusing on whether transfer of the alpha-phenethyl group occurs synchronously or through an intermediate carbonium ion. Methyl, ethyl, and n-butyl alcohols were reacted with the a…
Ya. A. FIALKOV and V. D. PANASYUK
The study examines the kinetics of sulfate ion isotopic exchange between outer and inner coordination spheres in aqueous solutions of sulfatoaquotetramminecobalt(III) sulfate and sulfatopentamminecobalt(III) sulfate, using sulfur-35 labeled sodium sulfate and separation of sulfate forms with benzidi…
A. A. BALANDIN and E. I. KLABUNOVSKII
This paper investigates the stereochemistry and sequence of catalytic hydrogenation of a triptycene-derived dione over skeletal nickel in dioxane at 45 degrees. Guided by multiplet theory, the authors test whether hydrogenation first affects the olefinic bond or the carbonyl groups by interrupting t…
B. V. SHABAT
This note examines Dirichlet problems for model equations of mixed elliptic and hyperbolic type motivated by transonic gas flow, especially cases corresponding to supersonic zones adjacent to nozzle walls. Using explicit representations in characteristic variables, functional equations, singular int…