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 a mixed initial boundary value problem for Petrovskii parabolic systems of order 2p with sufficiently smooth coefficients and boundary data satisfying compatibility conditions. Using the method of potentials and Levi’s reduction, it constructs the Green matrix by representing the …
The note studies Engel properties of Burnside groups of prime power exponent and of their nilpotent quotients. Using Novikov’s result on irreducible words in free groups, it proves that the groups \(B_{k,p^\alpha}\) with \(p^\alpha>72\) are not Engel, by showing that iterated commutator words \([a,b…
This paper outlines principles for constructing an independent grammatical analysis algorithm for Russian in the context of machine translation. It argues that analysis should correlate text units with the grammatical relations of the source language, rather than directly with the target text or wit…
This study addresses the limited and uncertain thermodynamic data for transition metal carbides by measuring the equilibrium involving vanadium, hydrogen, methane, and vanadium carbide close to the composition V2C. The authors determined the equilibrium constant for the reaction V2C + 2H2 = CH4 + 2V…
This note studies approximation of functions on a multidimensional domain that satisfy homogeneous boundary conditions up to order s minus 1. It considers approximants of the form a fixed boundary-vanishing factor multiplied by polynomials of bounded degree in each variable, for domains whose bounda…
This study examines the catalytic decomposition of hydrazine on nickel sulfide and on solid solutions of nickel sulfide containing small additions of lithium or indium sulfides, with comparison to analogous nickel oxide systems. The authors prepared and characterized the sulfide catalysts by X-ray a…
This paper reexamines geomagnetic measurements from the first Soviet space rocket in light of ground observations on 2 January 1959. Using magnetograms from 16 geomagnetic observatories and telluric-current data from two stations, the authors identify a weak worldwide geomagnetic disturbance with su…
This paper reports preliminary radiation measurements from the second Soviet cosmic rocket, launched toward the Moon in September 1959, using gas-discharge and scintillation counters mounted both inside and outside the spacecraft container. The data are used to compare the Earth’s outer radiation be…
This paper examines whether atmospheric transparency can be inferred from the polarization of sky light measured along the Sun’s almucantar. Observations from sites near Alma-Ata and in the Libyan Desert used visual polarimetric sky-brightness measurements, direct solar radiation, and circumsolar ha…
The paper introduces linear partially ordered topological spaces, defined as linear lattices equipped with a topology having a monotone neighborhood basis, thereby generalizing partially ordered Banach spaces without requiring bounds for infinite bounded sets. It establishes basic structural and con…
The paper describes an optical radiation detector for measuring energy losses from plasma to the wall of a toroidal discharge chamber in a strong longitudinal magnetic field. A heated platinum foil coupled by a light guide to a photomultiplier was calibrated by capacitor discharge and used to record…
This study examines the magnetic properties of coprecipitated Cr2O3, Al2O3 catalysts across a wide composition range, before and after use in isopropanol decomposition, and after calcination at different temperatures. Magnetic susceptibility, temperature dependence, magnetic moments, and Weiss const…
This paper examines mixed aromatic organozinc compounds of the type ArZnX, whose preparation had been complicated by the use of Grignard reagents and associated magnesium salts. The authors describe syntheses based on disproportionation of diarylzinc compounds with zinc halides in dry ether, followe…
This paper examines the relation between crystal structure and the number of 3d electrons in transition-metal atoms in the solid state, following x-ray studies that indicated different electronic configurations for close-packed and body-centered cubic metals. It proposes a simple formula for the tot…
This paper analyzes the conditions under which self-oscillatory processes can arise in electrochemical systems, especially electrode reactions involving adsorption and passivation. It first shows that a one-degree-of-freedom description based only on electrode potential cannot yield periodic behavio…
This paper examines the measurement of the condensation coefficient in evaporation and condensation experiments, focusing on limitations of the Hertz-Knudsen formula commonly used at higher vapor pressures. The authors argue that this formula is valid only in the limiting case of a small condensatio…
This paper studies singularly perturbed systems of ordinary differential equations in which the fast subsystem, for each value of the slow variable, has a unique rough stable limit cycle. The authors formulate an averaged equation for the slow variables by integrating the slow vector field over the …
This study examines the catalytic behavior of titanium dioxide prepared by several methods in the conversion of alcohols and cyclic hydrocarbons, including dehydrogenation, dehydration, isomerization, and related transformations. Using a differential thermocouple combined with chemical analysis, the…
This study examines the catalytic behavior of several activated carbons in the dehydrogenation of five-membered cyclenes under elevated temperature and reduced pressure. Cyclopentene and 1-methylcyclopentene-1 were passed over birch activated carbon, fine-grained BAU carbon, and bone charcoal at 450…
This paper proves boundedness of a class of singular integral operators on Orlicz spaces over a bounded measurable domain. The kernel is assumed to satisfy cancellation, continuity, a Dini-type modulus condition in the angular variable, and Hölder continuity in the spatial variable, while the defini…
The paper analyzes Vavilov-Cherenkov radiation produced by a uniformly moving charge in a uniaxial nonmagnetic crystal when the velocity is oriented arbitrarily relative to the optical axis. Using a crystal-adapted electromagnetic potential gauge and a limiting absorption prescription to isolate the…
This paper examines the reaction of perfluoroolefins with hydrazoic acid and azide salts, focusing on the competition between addition to the double bond and vinylic fluorine substitution. Experiments with perfluoropropylene and perfluoroisobutylene in alcoholic and nonpolar media show formation of …
This note studies multidimensional convolution integral equations on a half-space and corresponding lattice difference equations, with data in standard Banach spaces of functions or sequences. For the continuous equation, the authors use a Wiener type factorization of the Fourier transform under a n…
This paper investigates the origin of holes consumed during the anodic dissolution of n-type silicon in hydrofluoric acid, a question relevant to the mechanism of electrochemical reactions at semiconductor electrodes. The authors use thin silicon electrodes containing a p-n junction and compare anod…
This paper applies the method of two-time temperature Green functions to the thermodynamics of the superconducting state for the Frohlich electron-phonon Hamiltonian. By decoupling higher-order Green functions while allowing anomalous pair averages, it derives coupled equations for normal and anomal…
The paper studies a Riemann type boundary value problem for two piecewise analytic functions on domains separated by a smooth closed contour, with boundary conditions involving derivatives and Fredholm integral terms. It introduces auxiliary integral representations for analytic functions under inde…
This study examines how hydrocarbon structure affects colloidal solubilization in 0.1 M aqueous solutions of sodium soaps of saturated fatty acids from caprylate to stearate. Using a direct experimental method, the authors compare limiting solubilization of aromatic and aliphatic hydrocarbons and re…
This paper extends a Green’s function treatment of an isotropic two-sublattice antiferromagnet with nearest-neighbor interactions to nonzero temperature, deriving approximate equations for sublattice magnetization and the angle between sublattice magnetization and an applied magnetic field. Low-temp…
This study examines the structure of polymeric products formed by platinum-catalyzed reactions of tetraalkyldihydridodisiloxanes with difunctional unsaturated organosilicon and organogermanium compounds. Infrared spectroscopy was used to compare starting materials and polymers, focusing on diagnosti…
This paper studies approximation near the boundary of a domain whose boundary has analytic capacity zero. Using dual extremal formulations for analytic capacity and function-space duality, it proves criteria relating zero analytic capacity to approximation in boundary integrals by functions in Hardy…
This paper develops a magnetohydrodynamic treatment of electric discharge in a conducting medium, focusing on stationary plane and axisymmetric discharges in an incompressible fluid. It shows that, unlike the plane case, a finite axisymmetric discharge cannot remain hydrostatic and must induce motio…
The paper studies the indefinite form of the \(A\)-integral, defined through truncated Lebesgue integrals under a tail condition, and compares it with improper Lebesgue and Denjoy integration. It shows that existence of definite \(A\)-integrals on intervals does not generally yield well behaved inde…
This paper studies PS-isomorphisms, isomorphisms between the lattices or structures of subsemigroups, for torsion-free and ordered groups. It develops a sequence of lemmas on separable elements, isolated normal divisors, semi-Dedekind subsemigroups, and proper PS-isomorphisms, using these to show th…
This paper extends the method of steepest descent for solving nonlinear operator equations from finite-dimensional and Hilbert space settings to broader classes of Banach spaces. It formulates iterative schemes for potential and nonpotential operators, giving conditions on differentiability, monoton…
This study examines the reactions of iodine chloride with several arylated ethylenic hydrocarbons, especially diphenyl- and tolyl-substituted ethenes and propenes, to clarify whether the observed chlorinated products reflect abnormal addition or subsequent substitution and elimination processes. On …
This paper reports the synthesis and characterization of the dibutyl ester of allylphosphonous acid, an unsaturated phosphonous acid ester previously little studied. The compound was prepared by reacting allylmagnesium bromide with dibutyl chlorophosphite in dry ether at low temperature under nitrog…
This paper studies when local stability, an external condition on a group of automorphisms, implies local nilpotency of the automorphism group itself. After formulating stability and local stability for automorphism groups, the authors prove that every finitely stable group of automorphisms of a fre…
This paper studies plane, steady, irrotational flows of an ideal incompressible liquid with a free boundary having horizontal asymptotes, focusing on flow over a locally uneven bottom and on solitary waves. The free-boundary problem is transformed by conformal mapping to an infinite strip and reduce…
This study examines the normal paraffin hydrocarbons in the 175 to 300°C kerosene fraction of Karamai petroleum from China, motivated by their potential use as feedstocks for organic synthesis. The kerosene fraction was prepared by removal of gasoline, deasphalting, deresining, vacuum distillation, …
This paper examines the vertical structure of the atmospheric electrostatic field using aircraft soundings carried out in Leningrad, Kiev, and Tashkent during the International Geophysical Year and International Geophysical Cooperation. Measurements of field strength with height were integrated to e…
This paper investigates the acid-catalyzed reactions of azobenzene with a range of organic compounds and relates them to reductions observed in reactions of phenyldiazonium borofluoride in ketones. Experiments with sulfuric acid and other strong acids show that azobenzene is converted chiefly into b…
This study examines whether electrical conductivity measurements reliably indicate shifts in the surface Fermi level of modified zinc oxide, a question relevant to interpreting semiconductor catalyst behavior. The authors constructed an apparatus for simultaneous measurement of electrical conductivi…
This paper derives a stability condition for a planar solid-liquid interface during steady crystallization of a binary alloy, treating instability as the accelerated growth of a small hemispherical protrusion on the front. By solving approximate heat and solute diffusion problems in a moving frame, …
This study examines whether free-radical addition and telomerization can be used to synthesize alkylaromatic hydrocarbons relevant to alkylbenzenesulfonate surfactants. Using tert-butyl peroxide as initiator, toluene, ethylbenzene, cumene, p-xylene, and alpha-methylnaphthalene were reacted with alph…
This study examines how the surface hydration of nonporous silica Aerosil affects its heats of wetting by a homologous series of aliphatic alcohols. Aerosil samples were calcined at different temperatures to vary structural water content, their surface areas were measured by nitrogen adsorption, and…
This paper analyzes how tunneling reorientation of a pair of magnetically equivalent spin one half nuclei affects the line shape of a nuclear magnetic resonance signal in a crystal. A quantum mechanical model is formulated for two nuclei moving between two equivalent potential minima, with the secul…
This study measured the relative yield of photodeuterons and photoprotons from copper, together with the energy distribution of emitted deuterons, under irradiation by bremsstrahlung gamma rays with a maximum energy of 70 MeV. Particles emitted at forward angles were recorded in nuclear emulsions pl…
This paper establishes existence results for nonlinear mixed initial boundary value problems for second order hyperbolic and parabolic equations in a strip, with nonlinear boundary conditions depending on boundary traces of derivatives and on a parameter. Under smoothness, Lipschitz, nondegeneracy, …
This paper develops the notion of conjugate manifolds on the Klein quadric representing lines of projective three-space and relates it to asymptotic manifolds defined by higher order contact with tangent hyperplanes. Using Cartan’s exterior forms and Grassmann products, the author applies this frame…
This study examines the packing density of macromolecules in cellulose preparations by measuring true specific gravity, proposed as a more direct indicator than adsorption, wetting, or reactivity methods. Using a modified Hermans suspension method, the authors measured dried cellulose samples before…
