SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper studies the reduction of nonconstant regular solutions of linear elliptic differential equations in a bounded domain with excluded subdomains representing singularity nests. Using Green’s functions for an elliptic operator and its adjoint, it derives surface integral formulas that decompo…
This paper addresses the problem of organizing sequentially arriving information in computer memory so that records can be searched and inserted efficiently according to a numerical key. It proposes a reference table structured as an admissible binary search tree, in which the heights of the left an…
This paper studies the embedding problem for finite degree algebraic number fields under the assumption that the relevant Galois group is a p-group. It analyzes how a solution may be constructed by successive p-steps through invariant subgroups, focusing on the obstruction to carrying out the r-th s…
This note studies the discrete spectrum of the Dirichlet Laplacian in three-dimensional domains that are asymptotically cylindrical, focusing on eigenvalues lying below the threshold given by the first transverse eigenvalue of the limiting cylinder. Using the splitting principle and Courant variatio…
The paper analyzes the motion of a charged particle in a plane electromagnetic wave when a homogeneous magnetic field is applied parallel to the wave vector. By reformulating the relativistic equations of motion in terms of the particle’s phase relative to the wave, it shows that a resonance can occ…
This note establishes Wiman-Valiron type relations for entire transcendental functions of several complex variables at points where the maximum modulus is attained. Instead of using the central index, it introduces growth functions derived from the maximum modulus on circular, almost circular, and p…
This paper reports measurements of the temperature dependence of the electrical resistance of spectrally pure polycrystalline graphite under pressures from 30,000 to 250,000 kg/cm². Using a high-pressure apparatus, the authors heated the sample electrically and inferred temperature-dependent resista…
This paper investigates the preparation of mineral-organic ion-exchange sorbents intended to combine the surface and stability advantages of inorganic sorbents with the capacity and functionality of organic ion-exchange polymers. The authors use radiation-induced graft polymerization of styrene or a…
This paper develops a semi-quantitative method for estimating the diamagnetic component of magnetic susceptibility in crystals from experimentally determined X-ray electron-density distributions. Starting from the relation between susceptibility and the mean square radii of electron orbits, it separ…
This paper addresses the need for a rapid and reliable chromatographic method for identifying sphingosine bases and related derivatives, compounds that are difficult to separate by paper chromatography or by methods requiring chemical degradation. The authors develop thin-layer chromatography on sil…
This paper addresses the splitting of nonevolutionary magnetohydrodynamic shock waves, for which infinitesimal perturbations can produce finite changes in the solution. It proposes a general method, without restrictions on medium parameters or shock intensity, for determining the resulting combinati…
The paper studies a three-dimensional analogue of the Beltrami equation, formulated as an elliptic first-order system for a four-component real vector with matrix coefficients satisfying a uniform bound. Using singular integral operators and estimates in Lebesgue and Hölder spaces, the equation is r…
This note improves the error term in Mertens’ asymptotic formula for the finite Euler product over primes. Using analytic estimates for the logarithmic derivative of a truncated Euler product together with I. M. Vinogradov’s zero-free region for the Riemann zeta function, the paper proves a more gen…
This note studies the distinction problem for Frommer normal domains of the second type associated with first order differential equations near a singular point, where the Hartman-Wintner theorem ensures existence of at least one curve tending to the singular point. For a class of equations whose ri…
This paper examines the origin of the two-peaked current waveform observed in high-current pulsed toroidal discharges with a stabilizing longitudinal magnetic field in Tokamak-type installations. Using Shafranov’s equilibrium expression, modified to include a small transverse magnetic-field componen…
This paper examines the volume dependence of the Grüneisen parameter for sodium chloride at high pressures, using experimental Hugoniot data together with an independently specified potential pressure. The authors derive the parameter from the shock adiabat by adopting a Born-Mayer form for the crys…
This paper examines the vapor phase catalytic dehydrogenation of 2,3-dihydrofuran homologs as a route to 2,4-dialkylfurans. The authors prepare the required dihydrofurans through a modified sequence from furfural derivatives, involving hydrogenation, acetylation, hydrogenolysis to gamma-keto acetate…
This paper describes a form of wave photography in which the standing wave pattern produced by interference between incident radiation and radiation scattered by an object is recorded throughout a photosensitive volume. The author develops a scalar wave treatment, using a weak dielectric perturbatio…
This paper considers rarefied gas flow past a flat plate of arbitrary planform in the regime close to free molecular flow, where first collisions between incident and reflected molecules are taken into account. Using influence functions for the changes in particle flux, momentum, and energy contribu…
This study examines the mechanism of electroless nickel deposition from hypophosphite solutions, focusing on which hydrogen atoms in hypophosphite participate in the reduction of nickel ions. Using deuterium labeling, heavy water or deuterated hypophosphite, and mass spectrometric analysis of evolve…
Electron paramagnetic resonance spectra were measured for powdered coordination polymers based on methylene-bis-salicylaldimine derivatives containing Cu, Ni, Fe, Co, Zn, and Cd, with variation of the bridging group in the polymer chain. The study compares line positions, widths, and relative intens…
This study examines why false-equilibrium states arise during ion-exchange sorption of large organic ions, using methylene blue cations on sulfonic cation exchangers with different divinylbenzene contents. The authors measured sorption rates under diffusion-controlled conditions, calculated differen…
The paper studies the regularization of products of generalized functions of causal type, a problem motivated by quantum electrodynamics and formulated for products involving linear combinations of vector variables and derivatives of such functions. The method replaces each generalized function by a…
The paper studies elliptic boundary-value problems for three-dimensional vector fields with axial symmetry, formulated in a meridian half-plane with prescribed source and vortex distributions and a general linear boundary condition. The problem is reduced to a generalized analytic equation with a Ri…
This paper investigates the distribution of electron density in indium antimonide, a III-V semiconductor with a sphalerite lattice, in order to clarify features of interatomic bonding related to its physical properties. Using X-ray diffraction measurements on zone-refined InSb powder, the authors de…
The paper develops a grid method for initial boundary value problems for higher order parabolic equations with separable spatial variables on a multidimensional rectangular domain. It proposes an alternating direction type difference scheme that reduces each time step to a sequence of one dimensiona…
This paper reports an experimental study of the Raman scattering spectrum of an alpha quartz single crystal after irradiation with a high dose of fast neutrons. Using photographic and photoelectric spectroscopic methods, the authors compare irradiated quartz with the same material before irradiation…
This paper studies a boundary value problem for a system of first order differential equations in which a small parameter multiplies the derivative of one group of variables. Under smoothness and spectral separation assumptions for the linearization along the degenerate solution, it constructs match…
This paper develops an algebraic representation of semicontinuous multivalued mappings by means of generalized homomorphisms in partially ordered additive semigroups. It defines suitable semigroups of bounded integer valued lower and upper semicontinuous functions, introduces transformations preserv…
The study examines the telomerization of organocyclotrisiloxanes with dimethyldichlorosilane, extending a reaction previously known for dimethylcyclosiloxanes to hexaethyl, methylphenyl, and vinyl-substituted cyclosiloxanes. Reactions were carried out mainly in sealed glass ampoules at elevated temp…
This note further analyzes the correspondence between excessive functions and additive functionals for homogeneous Markov processes. For a standard right-continuous Markov process, it proves that every finite excessive function can be decomposed into the sum of a regular harmonic component, a singul…
This note studies bounds for Dirichlet L-functions on the critical line near the real axis, specifically for nonprincipal characters modulo a prime p and |t| at most 1. Building on Linnik’s shortened functional equation and Burgess’s method for character sums, it proves an estimate for L(1/2+it, chi…
This paper examines the tautomeric cations formed during salt formation of p-aminoazobenzene in sulfuric acid solutions, where the relative amounts of quinoid and ammonium ions vary with acid concentration. Using absorption spectra at wavelengths characteristic of the two forms, together with the li…
This paper addresses whether Freudenthal-type representations of compacta by polyhedral spectra extend to arbitrary bicompacta, especially with onto projections and prescribed dimension. It constructs two bicompacta, denoted AP and AP', as limits of transfinite spectra, and proves that neither is th…
The paper studies a compact completion of the countable set obtained by encoding each natural number as a binary fraction according to its divisibility by integers. Using the arithmetic of polyadic numbers, it defines a metric based on the first prime power at which two divisibility patterns differ …
This study investigates the mechanism of peroxide oxidation of hydroxybenzaldehydes in the Dakin reaction using oxygen-18 labeling. Salicylaldehyde and methoxysalicylaldehyde were oxidized with labeled hydrogen peroxide, labeled water or alkali, and benzoyl hydroperoxide, and the isotope content of …
This note studies boundary value problems for second order parabolic equations whose coefficients have first kind discontinuities across finitely many smooth surfaces. Using smoothing of the coefficients, partitions of unity, local coordinate flattening of discontinuity surfaces, a priori estimates,…
Allylcyclopentane was synthesized through a Grignard route and polymerized in the presence of the Ziegler type catalytic system TiCl4 plus triisobutylaluminum, mainly in heptane at 70°C. The study examined how polymer yield and properties depend on catalyst component ratio, catalyst aging, temperatu…
This study investigates whether the ferroelectric perovskite BiFeO3 also exhibits magnetic ordering, using neutron diffraction on sintered stoichiometric samples at room and elevated temperatures. Additional diffraction maxima not attributable to nuclear scattering disappear above about 400 degrees …
This paper examines the critical detonation diameter of uncased or weakly cased liquid explosives in light of observations that detonation fronts in transparent liquids such as nitromethane are spatially nonuniform. It argues that detonation propagation is governed not by a smooth shock front alone,…
This paper describes improved syntheses and reactions of 2-phenylperinaphthindandione-1,3 and several derivatives. The authors shorten the preparation of naphthalic acid from acenaphthene, obtain 2-phenylperinaphthindandione-1,3 directly from naphthalic acid in high yield, and prepare its bromo, chl…
The paper studies approximation of periodic, possibly nondifferentiable functions by a class of positive linear operators defined through nonnegative trigonometric kernels, viewed as summability methods for Fourier series. It extends Korovkin type asymptotic results to these operators, giving necess…
This paper reexamines the proposed isotopic exchange of free organic radicals with molecular deuterium, a mechanism invoked to explain highly deuterated reaction products and apparent excess deuterium balances in reactions involving atomic hydrogen or deuterium and olefins. The authors compare earli…
This study examines titanium beryllides with high beryllium content in order to clarify their crystal structures and the nature of interatomic bonding relative to previously studied TiBe and TiBe2 phases. Alloys containing 88, 90, and 93 atomic percent beryllium were prepared and investigated by X-r…
The paper develops criteria for continuity and complete continuity of linear and nonlinear integral operators acting between spaces of measurable functions, including cases where the exponent may be below one. For linear operators, conditions on the kernel and its adjoint are combined with interpola…
This study examines how the nature of bonding in the carboxyl group affects primary radical formation during low temperature radiolysis of palmitic acid and its derivatives. Palmitic acid, potassium palmitate, and tripalmitin were irradiated with cobalt-60 gamma rays at minus 196 degrees Celsius, an…
The study examines the reactivity of chlorine atoms in chloroalkenethiocarbonates toward ammonia and substituted amines, with particular attention to whether substitution or ammonolysis of the thiocarbonate ring occurs. Experiments in aqueous ammonia and aqueous amine solutions showed that reaction …
The paper investigates the addition of dichlorocarbene to vinyl sulfides, focusing on vinylethyl sulfide and vinylphenyl sulfide as nucleophilic olefinic substrates. Dichlorocarbene, generated from chloroform and potassium tert-butoxide, was shown to form 1-ethylthio- and 1-phenylthio-2,2-dichlorocy…
This note proves uniqueness theorems for several boundary-value problems for equations of mixed type, motivated by Frankl’s formulation of transonic flow around a wedge and related problems for Chaplygin, Tricomi, and Lavrent’ev-Bitsadze type equations. The argument studies the location of possible …
This paper formulates averaging theorems for systems of differential equations with a small parameter in which the mean values may depend on the particular trajectory of the degenerate system used for averaging. Under detailed regularity, transversality, existence, and uniform averaging assumptions,…
