M. P. VOLAROVICH, D. B. BALASHOV, I. S. TOMASHEVSKAYA, V. A. PAVLOGRADSKII
This paper examines how longitudinal ultrasonic wave velocities in rock samples change under combined hydrostatic pressure and uniaxial compression, a stress condition relevant to earthquake physics and tectonophysics. Using a high-pressure apparatus with independently varied confining pressure and …
A. Yu. Aleksandrov, K. P. Mitrofanov, O. Yu. Okhlobystin,
This study examines Mössbauer resonant absorption of the 23.8 keV transition of Sn-119 in organotin oxides of the homologous series R2SnO, focusing on isomer shifts, quadrupole splittings, and the probability of recoil-free absorption. Measurements at liquid nitrogen temperature show nearly identica…
E. F. Gross, D. S. Nedzvetskii
This paper investigates the banded edge luminescence and afterglow of gallium phosphide crystals at 4.2 K, focusing on two narrow emission bands near 17750 and 17350 cm−1 and their phonon repetitions. Using continuous and intermittent optical excitation, the authors show that the bands are doublets,…
S. S. KABALKINA, Corresponding Member of the USSR Academy of Sciences L. F. VERESHCHAGIN,
High-pressure phase transitions in antimony were investigated by preliminary X-ray diffraction measurements at 30, 50, 90, and 100 kbar using a calibrated high-pressure chamber. The results indicate a reversible transition near 50 kbar from the initial rhombohedral structure to a primitive cubic lat…
Unknown
This paper develops asymptotic representations for solutions of a two-dimensional renewal-type equation arising in boundary-value problems for random walks with one lattice-valued component and a nonnegative second component. The authors formulate the problem through first-passage and overshoot prob…
G. A. RAZUVAEV, S. F. ZHIL’TSOV, O. N. DRUZHKOV, G. G. PETUKHOV
This study investigates the oxidation by molecular oxygen of symmetrical alkyl organomercury compounds containing primary, secondary, and tertiary alkyl groups, with emphasis on the formation of oxidized organomercury intermediates. Oxidations of diisopropylmercury, ditert-amylmercury, and dibenzylm…
A. E. BAZHANOVA, V. D. SHAFRANOV
This paper analyzes cyclotron radiation from charged particles moving in a magnetized plasma when a finite velocity component along the magnetic field produces a Doppler shift near resonance. Using cold plasma refractive indices and established radiation formulas, the authors numerically calculate t…
Unknown
The paper introduces mixed norm spaces for functions on bounded domains decomposed into groups of variables and studies singular integral potentials over finite dimensional domains or smooth manifolds. It proves boundedness estimates for potentials with kernel r to a negative power from appropriate …
L. N. SHEVRIN
The paper characterizes semigroups whose lattice of subsemigroups, including the empty subsemigroup, is Dedekind. Using structural lemmas on periodic semigroups, idempotent classes, and strong semilattices, it shows that such a semigroup decomposes as a strong semilattice of components each containi…
Unknown
The paper studies periodic subgroups of linear algebraic groups over algebraically closed fields, with emphasis on conjugacy questions for Sylow subgroups and maximal periodic subgroups. Using structural results on maximal tori, normalizers, and solvable algebraic groups, it proves that Sylow p-subg…
I. M. RAPOPORT
The paper develops a method for reducing three-dimensional static and dynamic elasticity problems for rods to one-dimensional form without relying on the plane-section hypothesis. Elastic displacements are expanded in double power series over the cross-section coordinates, leading to an infinite sys…
V. S. Mylnikov, E. K. Putseiko, A. N. Terenin
This study examines the photoconductivity of the acetylene polymer poly-n,n-diethynylazobenzene, focusing on spectral behavior and the effects of ultraviolet irradiation. Thin polymer layers were measured under controlled voltage and illumination, with photoconductivity spectra compared to diffusion…
Unknown
This study examines ion exchange behavior of numerous elements in hydrofluoric acid solutions to identify conditions for chromatographic group separation. Distribution coefficients were measured under static conditions using radioactive tracers with the anion exchanger AV-17 and cation exchanger KU-…
Unknown
This note studies Fourier series in the Haar system and contrasts their behavior with trigonometric Fourier series. It establishes sharp estimates for Haar Fourier coefficients of functions in Lp and of bounded variation, including summability consequences and examples showing optimality. The paper …
Unknown
The paper studies the location of singularities of analytic functions on the boundary of polycylinders and applies this property to entire functions of several complex variables. It proves, by using plurisubharmonicity of the distance to the nearest singularity, that if a boundary point of a polycyl…
M. Z. SOLOMYAK
The paper studies first order linear elliptic systems with real constant coefficients in Euclidean spaces and the restrictions imposed by Petrovsky ellipticity on the number of equations. It proves an existence criterion in terms of the Hurwitz, Radon, Eckmann function, showing that such systems of …
Unknown
This study examines how organic acids, chiefly fatty acids, dissolved in hydrocarbon liquids affect boundary friction, adhesion, and the thinning and shear resistance of liquid layers between polished steel surfaces. Using a method that controls and measures contact pressure, layer thickness, and sh…
I. P. Skibida, Z. I. Kulitskii, Z. K. Maizus
This study examines whether the reactivity of positional isomers of decanol depends on the location of the hydroxyl group during liquid-phase oxidation of n-decane. Using an open-system steady-state kinetic method, the authors compared the consumption of decanol-2, decanol-4, and decanol-5 at 140 de…
Unknown
The paper gives a solvability criterion for the Dirichlet problem for a class of quasilinear elliptic equations, avoiding the usual global monotonicity restriction on the zeroth order term. The argument uses a comparison lemma for associated parabolic equations, constructs sub- and supersolutions, a…
L. D. ESKIN
This paper studies the spectral zeta function associated with the Laplace-Beltrami operator on the group of n-dimensional unitary matrices, equipped with its standard invariant metric. Using the radial part of the Laplacian, the author derives an explicit fundamental solution of the heat equation in…
Unknown
The paper develops a general tensor product construction for deriving multidimensional quadrature and interpolation formulas from one-dimensional approximations in normed spaces of linear functionals. A theorem estimates the error of a sparse tensor sum in terms of the one-dimensional approximation …
N. A. ZAKARINA, G. D. ZAKUMBAEVA,
This study examines how zinc sulfate and zinc chloride affect hydrogen sorption on palladium and the catalytic hydrogenation activity of palladium black. Using charging curves, direct hydrogen uptake measurements, kinetic observations, and catalyst potential measurements, the authors compare acidic …
V. N. Kondrat'ev
This paper estimates rate constants for thermal excitation of sodium atoms in mixtures of sodium vapor with argon and nitrogen by using experimental data on the reverse process, quenching of sodium D fluorescence. Applying detailed balance to published quenching cross sections, it derives an excitat…
I. D. MOROZOVA, M. E. DYATKINA
Spin-density distributions in several aromatic potassium ketyl radicals were calculated using the simple MO LCAO method with variable heteroatom parameters for the Coulomb and resonance integrals. The study examines diphenyl, di-alpha-naphthyl, di-beta-naphthyl, and phencyclone potassium ketyls, rel…
I. Ya. Poddubnyi, E. G. Erenburg, E. P. Chernova-Ivanova,
This paper investigates the apparent association of polybutadiene macromolecules in solution, using light scattering, osmotic molecular weight measurements, and intrinsic viscosity data for branched potassium butadiene rubber and linear cis polybutadiene. Measurements in theta and near theta solvent…
G. V. Vinogradov, A. Ya. Malkin, N. V. Prozorovskaya,
This paper develops a temperature-invariant representation for the anomalous viscosity of polymer melts, extending reduction methods previously applied to viscoelastic and lubricant systems. Starting from a relation between effective viscosity, highest Newtonian viscosity, deformation rate, and gene…
Unknown
This paper addresses the preparation of nucleotide amino acid derivatives containing a phosphoamide bond, compounds of interest for studying nucleotide peptides and possible roles in cellular metabolism and protein biosynthesis. The authors synthesize the methyl ester of adenylyl-(5′ to N)-phenylala…
We shall give only the definitions and results. All spaces in what follows are assumed to be completely regular.
The paper introduces and studies spaces of countable type and point-countable type, defined through compact subsets of countable character, and shows that these classes include metric, locally compact, and Čech-complete spaces while forming subclasses of k-spaces with better stability properties. It…
Unknown
This study examines the oxidation of substituted 1,5-diphenylthiocarbohydrazides to the corresponding diarylthiocarbazones in benzene solution. The authors used the gradual appearance of the green thiocarbazone absorption to follow reaction progress spectrophotometrically, measuring optical density …
A. Ya. Shatalov, Yu. P. Gladkikh, V. V. Malygin
This paper examines current decay during potentiostatic anodic oxidation of zirconium, starting from an exponential relation between ionic current and electric field strength in the growing oxide film. The authors derive equations for decay curves under constant potential, then compare the predicted…
1°.** Consider the Hamilton equation
The paper studies the Cauchy problem for linear Hamiltonian equations in a separable Hilbert space when the Hamiltonian operator coefficient is self-adjoint, positive, and generally unbounded, so that the resolving operator is also unbounded. Under a regularity condition on the square root of the co…
Unknown
This paper examines changes in the texture of silicic acid xerogels during methanol vapor sorption, focusing on samples prepared under mild evacuation conditions without high-temperature activation or adsorbate “washing.” Successive adsorption and desorption isotherms showed that, after capillary co…
Unknown
This paper determines high-temperature rate constants for elementary reactions of atomic hydrogen and atomic oxygen with ethylene, processes relevant to hydrogenation and chain oxidation of unsaturated hydrocarbons. The authors derive ignition-limit relations for hydrogen-oxygen and carbon monoxide-…
Unknown
The study investigates depolarization isoopaques of the photoelectret state in AgCl single crystals at liquid nitrogen temperatures, focusing on how colloidal silver centers affect deviations from the reciprocity law. AgCl foils were successively illuminated to vary the concentration and size of col…
Unknown
This paper outlines proofs of several results on finitely multiple open and closed continuous mappings of connected manifolds, formulated in terms of completely continuous decompositions into finite sets. It proves that every such finitely multiple mapping has bounded multiplicity, that in a bounded…
Unknown
This paper reports that conjugated bromodiacetylenes undergo the Arbuzov rearrangement with triethyl phosphite to give diethyl phosphonate esters bearing diacetylenic radicals. The authors prepare methyl and ethyl substituted examples, describe their isolation and analytical constants, and confirm t…
A. I. ACHIL’DIEV
The paper studies first and second boundary value problems for elliptic equations whose coefficients degenerate at isolated interior points, at infinity, or at both points in the whole space. It introduces a beta-normality condition expressed through barrier inequalities and proves a generalized max…
S. P. NOVIKOV
Novikov studies manifolds of dimension 4k+2 through Thom space representatives, surgery, and invariants associated with kernels in middle homology, with particular attention to the 10-dimensional case. The paper defines and analyzes invariants generalizing Kervaire’s invariant by means of secondary …
Unknown
This study examines the hydrogen overvoltage on solid and liquid gallium in 1 N sulfuric acid, addressing conflicting earlier reports on the relation between the two states. Using purified hydrogen-saturated electrolyte, controlled melting and freezing of a gallium electrode, polarization measuremen…
B. N. EGOROV, G. B. RAVICH, B. G. KRYLOV
This paper reports dilatometric measurements of thermal expansion in solid 2,4,6-trinitrophenol over the range from 55 degrees Celsius to liquid nitrogen temperature, motivated by the study of second-order phase transitions in organic molecular crystals. Pressed polycrystalline samples of near singl…
Unknown
This paper examines the mechanism of reactions between alkylmagnesium halides and alkyl halides, focusing on whether the normal Wurtz coupling proceeds by radical or heterolytic pathways. The authors study a series of n-alkyl Grignard reagents and methyl or ethyl halides in dimethoxyethane, using ch…
R. M. MURADYAN
This paper studies the analytic properties of ladder Feynman diagrams using the method of complex orbital angular momenta, with emphasis on their spectral representation in the transferred momentum variable. The author derives Legendre polynomial expansions for equal and unequal masses, applies the …
Unknown
This note extends classical estimates for bounded, positive-real-part, and related regular functions of two complex variables from bicircular domains to a broader class of circular domains defined by parametrized hypersurfaces and a conformal mapping of an associated planar Jordan domain. Using redu…
V. L. LEVIN, D. A. RAIKOV
This note extends the theory of Pták’s B-completeness, originally developed for locally convex spaces and later related by Kelley to completeness properties of hyperspaces, to general uniform spaces. It defines multivalued uniformly continuous, almost continuous, open, regular, and biregular mapping…
All groups considered below are linear.
This paper studies split linear groups over perfect fields, defined by closure under the semisimple and unipotent factors in the Jordan decomposition. It proves structural results for arbitrary locally nilpotent groups, including a direct product decomposition for split locally nilpotent groups and …
Unknown
This paper investigates the band structure of hexagonal selenium and tellurium crystals, focusing on the interpretation of polarized absorption edges, reflection spectra, x-ray absorption data, and infrared hole absorption in relation to existing theoretical models. Reflection spectra were measured …
B. S. VERKHOVSKII
This paper formulates a general multidimensional linear programming problem of transportation type on an s-dimensional matrix, with constraints defined by summation over prescribed subsets of indices and a linear objective function. It derives necessary compatibility conditions for feasibility and g…
Unknown
The paper applies a previously proposed extrapolation method for separating total solvation energies into individual ionic contributions to several nonaqueous solvents: formic acid, hydrazine, acetonitrile, n-butyl alcohol, isoamyl alcohol, and acetone. Total solvation energies are estimated mainly …
Unknown
The paper studies the construction of the resolvent of the Sobolev type operator defined by the inverse Laplacian and the two-dimensional wave operator, reducing the problem to Green’s functions for an associated Dirichlet boundary value problem. Using a known fundamental solution and the method of …
Ya. S. BUGROV
The paper studies differential properties of solutions to a Dirichlet problem in the half-plane for higher-order equations with even derivatives in two variables. Using Fourier separation of variables, it derives integral representations of solutions for cases including s = 1, 2, and 3, with general…