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 note studies division of generalized functions and regularization in spaces of test functions of Gelfand and Shilov type. It relates solvability of the equation FU = T in K' to the existence of regularizations of powers of 1 divided by F times its conjugate, then uses a reduction via Weierstras…
This note studies the Cauchy problem in the large for a first order nonlinear Hamilton-Jacobi equation with strictly convex flux, allowing initially Lipschitz and then arbitrary bounded initial functions. It defines generalized solutions through Lipschitz regularity away from the initial line, almos…
This study examines whether silica gel formed in the presence of dissymmetric bacterial cultures can acquire optical selectivity toward enantiomers. Silicic acid gels were inoculated with right and left forms of Bacillus mycoides, then dried, oxidatively cleaned, and compared with a control silica g…
This study examines whether halide complexes of triphenyl phosphite can replace hydroxyl groups in protected monosaccharides, using 1,2:5,6-diisopropylideneglucofuranose as a model substrate. Reaction with bromine or iodine complexes in organic solvent, followed by deprotection, afforded halodeoxygl…
This study examines the microbiological deacetylation of corticosteroid 21-acetates using a VNIKhFI-1 bacterial strain identified as belonging to the Bacillus megatherium group. Fermentation in a yeast extract and glucose medium converted cortisone acetate, prednisone acetate, Reichstein’s substance…
The note determines defining relations for semigroups of partial transformations of a finite set with n at least 4 elements. It introduces irreducible generating sets for the semigroup of all one-to-one partial transformations and for the semigroup of all partial transformations, extending known gen…
This study determines the gas-phase geometry of the boron oxide molecule B2O3, for which experimental structural parameters had been lacking despite extensive work on condensed boron oxide. Electron diffraction patterns of boron oxide vapor produced at high temperature were analyzed by radial distri…
This paper analyzes how dispersion of condensed propellant material affects combustion, treating dispersion in a first approximation as a surface process without thermal effect. A theoretical relation is derived between burning rate, surface temperature, and depth of dispersion, showing that dispers…
This paper studies coefficient stability for three point finite difference schemes approximating a one dimensional second order boundary value problem with possibly discontinuous coefficients. The authors define stability with respect to small integral perturbations of the scheme coefficients, estab…
This paper presents a potentiometric method for titrating strong, weak, and very weak acids in nonaqueous media, addressing cases where aqueous titration is inaccurate or impossible because of low dissociation, poor solubility, or the leveling effect of water. Using methyl ethyl ketone as the differ…
This study examines the mechanism and structural directionality of acid-catalyzed cyclization of pseudoionone and related pseudoirone under low-temperature stereospecific conditions. Cyclization experiments with pure trans-pseudoionone, natural pseudoionone containing cis and trans forms, and an app…
This note introduces a modified notion of strongly zero-dimensional mappings and the associated strong dimension of a continuous mapping between metric spaces. It proves that for a mapping from X to Y, the covering dimension satisfies dim X at most dim Y plus the strong dimension of the mapping, and…
This paper formulates Lagrangian statistical characteristics of turbulence and relates them to Eulerian descriptions, with emphasis on turbulent and relative diffusion in incompressible fluids. It discusses probability distributions for particle coordinates and velocities, derives relations between …
This paper investigates regularities in secondary electron emission from thin metal and semiconductor layers deposited on substrates of different materials, focusing on the relation between slow secondary emission and inelastically reflected electrons. Using delta eta diagrams and thickness dependen…
Hexamethyldisiloxane was condensed in a flow system under a high-voltage silent discharge at audio frequency to explore a one-stage route to organosilicon polymers containing alternating silicon-hydrocarbon and siloxane units. Passing the vapor through the discharge zone with hydrogen gave a 51 perc…
The paper studies conditions under which summable or bounded functions possess prescribed smoothness, using integral operators generated by kernels with specified moment conditions and, separately, finite difference operators. It introduces function classes defined by the smallness of these kernel t…
This study examines how external electron irradiation affects sulfur isotope exchange between solid potassium sulfate labeled with sulfur-35 and gaseous sulfur trioxide at 840°C. Experiments used a betatron electron beam to irradiate either both the salt and gas or only the gas, with absorbed doses …
This study examines the alkylation of ortho-, meta-, and para-xylene with propylene in the presence of boron trifluoride phosphoric acid catalyst, focusing on how catalyst concentration, temperature, reaction time, and reactant ratio affect product yield and isomer composition. The authors separate …
This paper examines a polarographic method for determining ultramicro concentrations of amalgam-forming metals using preliminary enrichment on a stationary mercury drop followed by anodic dissolution recording with an ordinary polarograph. The authors systematically study the effects of drop size, e…
The paper investigates cleavage reactions of unsymmetrical iodonium derivatives of dimedone, comparing phenyldimedonyliodonium with phenyl alkoxydimedonyl iodonium salts under varied solvents and reagents. Experimental decompositions in water, dioxane, pyridine, and in the presence of nitrate, bromi…
This paper examines how selected energetic, optical, and chemical properties of condensed polynuclear aromatic hydrocarbons relate to a simple structural criterion: the minimum number of rings that cannot be represented by benzenoid Kekulé structures and must be assigned quinoid character. Comparing…
The paper analyzes the plane flow of a conducting gas around an inclined current-carrying plate in the large magnetic Reynolds number approximation, where a gas-free cavity forms and pressure balance holds at its boundary. Using a conformal mapping of the cavity region to an annulus, the author deri…
The paper studies the occurrence of primes in short arithmetic progressions modulo k, refining earlier results of Linnik, Rodosskii, and the author. It outlines a proof that, for suitable absolute constants, every reduced residue class modulo k contains a prime in the interval (x, x k^ε) whenever ε …
This paper reexamines the identity of the red compound of formula C10H6S2 obtained by passing naphthalene and sulfur vapors through a red-hot iron tube, previously assigned to thienothiophthene or thienothionaphthene structures. The authors repeated the reaction, isolated the product, and compared i…
This paper studies bounded operators that are Hermitian with respect to an indefinite inner product defined by a fundamental symmetry \(J=P-Q\) on a separable Hilbert space. It first records spectral symmetry properties of such \(J\)-Hermitian operators, then extends Pontryagin’s invariant subspace …
This paper examines how hydrogenation affects the viscosity of alkyl aromatic hydrocarbons with isolated benzene rings and compares them with their naphthenic analogs. Using viscosity measurements at several temperatures for C24 bicyclic and related structures, the authors distinguish hydrocarbons w…
This paper studies Sobolev type classes with fractional smoothness on Euclidean spaces, bounded domains, and differentiable manifolds. It formulates trace and converse extension theorems for the classes \(W_p^r\), extending known results for Nikol’skii classes and for the Hilbert case \(p=2\), and p…
This study addresses the difficulty of determining the glass transition of cellulose, whose thermal decomposition occurs before direct observation of ordinary state transitions. Cellulose samples were plasticized with varying amounts of triethylphenylammonium oxide, pressed into tablets, and examine…
This paper presents model calculations of the Moon’s thermal evolution assuming formation by accretion of cold bodies, with heating dominated by radioactive decay rather than impacts or compression. Using two estimates of meteoritic radioactive element abundances, temperature-dependent thermal condu…
The paper studies mixed boundary value problems with an oblique derivative condition for second order parabolic equations in finite and infinite cylindrical domains. Using generalized heat potentials, it constructs a suitable fundamental solution modeled on the constant coefficient case and reduces …
This paper examines the unusual selectivity of zinc catalysts in hydrogenation reactions, contrasting it with the behavior of nickel and other metallic catalysts. Using approximate bond energy calculations for intermediate surface complexes, the authors estimate energy barriers for hydrogenation of …
The paper studies limiting self-similar solutions of a nonlinear parabolic equation, with attention to one-dimensional plane, cylindrical, and spherical forms, including generalized geometries described by a parameter. By introducing a converging-wave ansatz near a focusing point, the authors reduce…
This paper reexamines the criterion for gravitational instability in flat, axially symmetric rotating clouds, arguing that earlier treatments based on infinite extension along the rotation axis underestimate the critical density. The analysis calculates the radial gravitational force of ring-shaped …
This paper studies systems of linear inequalities in real vector spaces through lower-rank auxiliary systems called contractions or collapses, intended to preserve consistency information while reducing dimension. It develops criteria for consequences, consistency, and stability of such systems, inc…
This study examines the mechanism of silicon hydride addition to unsaturated compounds in the presence of platinized carbon and chloroplatinic acid, arguing against a purely heterolytic interpretation. Using diphenylpicrylhydrazyl as a radical trap and deuterium exchange experiments between ethyldic…
This study examines nitrogen isotopic exchange between ammonia and acid amides, focusing on how substituents, radical structure, and ammonium chloride affect the exchange rate. Kinetic measurements for aliphatic and substituted aromatic amides show that exchange is accelerated by increased electroph…
This paper examines the unusual mobility and saponification of fluorine atoms in the trifluoromethyl groups of α-benzamidohexafluorodimethylacrylic acid and related esters. The authors report that treatment with sodium bicarbonate at room temperature converts the acid and its esters into derivatives…
The paper studies approximate solution methods for linear operator equations \(Ay=b\) in a real Hilbert space, where \(A\) is a bounded self-adjoint positive operator. Two iterative schemes, related to steepest descent and to Krasnosel’skii procedures for estimating spectral bounds, are introduced u…
The paper examines why ordinary field theory, lacking a length constant, does not naturally yield a discrete elementary-particle mass spectrum. It argues from automorphisms of the inhomogeneous Lorentz group that masses are continuous under the usual four-dimensional translation structure, then prop…
This paper analyzes the steady axisymmetric motion of a compressible, inviscid, weakly conducting gas jet in a prescribed axisymmetric magnetic field, neglecting thermal conductivity, viscosity, charge density, and electric field. Treating the electromagnetic interaction parameter as small, it expan…
The study examines the fine structure of proton energy spectra produced in the photodisintegration of enriched lithium-6 by bremsstrahlung gamma rays with a maximum energy of 28 MeV. Proton tracks were recorded in nuclear emulsions, corrected for target energy losses and backgrounds, and analyzed to…
This paper examines the origin of scatter in brittle rupture stresses of amalgamated zinc single crystals fractured along the basal plane, especially at small angles between the basal plane and the specimen axis. The authors combine tensile fracture experiments with microscopic examination of cleava…
This paper investigates how normal and shear stresses develop during the transition from rest to steady shear flow in a 2 percent aluminum naphthenate gel in vaseline oil. Using a cone and disk rheogoniometric attachment to an elastoviscometer, the authors simultaneously measured tangential and norm…
This paper analyzes the motion and systematic azimuth deviation of a gyroscopic compass with mercury ballistic vessels when ship rolling is modeled as a stationary random process rather than as a sinusoidal motion. Starting from the linearized compass equations, it derives spectral expressions for t…
