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
The paper develops a stationary theory for combustion of condensed systems, focusing on burning rate, temperature and concentration profiles, heat and mass balance, and the influence of adjacent smoke-gas and gas phases. Starting from coupled heat conduction, mass conversion, density, and radiative …
This study examines the anodic dissolution of germanium diodes with p-n junctions as a basis for selective electrochemical etching. Using planar indium-alloyed germanium junctions and single-crystal junctions polarized in 0.1 N sodium hydroxide or sulfuric acid, the authors measured potential distri…
This paper develops a quantitative explanation for the time-dependent increase of oxygen overvoltage on a nickel anode at constant current density in concentrated alkaline solution. The proposed model treats the anode surface as a changing solid solution of nickel oxides, with accumulation of a high…
This note studies resolvent estimates for a class of singular elliptic matrix differential operators on Euclidean space, with strongly negative principal symbol and a confining matrix potential whose eigenvalues tend to negative infinity at a prescribed rate. Using estimates for the Green function o…
This note proves a growth theorem for entire functions satisfying a prescribed lower bound that deteriorates near the real axis through a power of the cosecant of the argument. The proof first derives a corresponding upper estimate using a transformed function in the half-plane, Carleman’s formula, …
The paper derives a relativistic kinetic equation for particles moving in a static spherically symmetric gravitational field, including the case of zero rest mass through a definition of proper time based on the relation between displacement and four momentum. It formulates the particle state space,…
This paper studies optimal approximation of periodic functions of several variables by trigonometric polynomials, emphasizing that in the multivariable case the ordering of Fourier modes should be chosen according to the function class rather than fixed in advance. For classes defined by quadratic b…
This paper establishes local large deviation theorems for sums of independent random variables beyond the classical Cramér exponential moment condition. Using methods associated with Linnik, it gives uniform asymptotic formulas for the densities, and for lattice probabilities, of normalized sums in …
This paper proposes a system of integral kinetic equations for monatomic gases intended to incorporate both intermolecular collisions and boundary interactions with immersed bodies. It defines distribution, internal and boundary birth functions, a free motion probability, and impact transforms for g…
This note studies the asymptotic behavior of solutions to linear difference equations with square-summable initial data and coefficients. Using the Fourier representation of sequences, it gives a stability criterion in terms of the multiplier and derives an asymptotic approximation when the multipli…
The paper develops an interpolation method for determining the cold compression equation of state of metals at ultrahigh pressures without relying directly on shock-compression data. The elastic pressure is represented as a finite series in relative density, with coefficients constrained by zero-pre…
Terletskii examines the principle of causality in relativistic physics and argues that, rather than treating it as an absolute postulate, it can be understood as a macroscopic statistical consequence of the second law of thermodynamics. The paper defines signals thermodynamically as localized distur…
This note develops aspects of Prager’s theory of ideally hardening media for homogeneous, isotropic, incompressible materials whose response is invariant under stress reversal. It argues, by an extremal work assumption, that the appropriate hardening condition is represented in principal strain spac…
This study applies spectrophotometry combined with physicochemical analysis to examine cobalt chloride complex formation in a molten lithium nitrate and potassium nitrate eutectic. Measurements at 160, 200, and 240°C using a heated spectrophotometer cell show that cobalt nitrate in the nitrate melt …
This paper formulates material balance equations for the products of alkane radiolysis, with special attention to estimating the heavy residue, a fraction that is difficult to determine experimentally. The authors derive exact relations for product distributions and discuss limiting equations for li…
This paper studies the epsilon entropy of several classes of complex functions under smoothness and growth restrictions. For analytic functions in a bounded simply connected domain, entropy estimates are obtained in terms of the boundary regularity and Hölder smoothness of derivatives, using Kolmogo…
This paper reports experiments on the limiting load-bearing capacity of annealed thin-walled technically pure nickel tubes subjected to axial tension, torsion, and internal pressure along proportional and complex loading paths. True stresses and strains at limiting load were measured, and limiting s…
The paper studies a nonlinear Riemann type boundary value problem for analytic functions, in which the nth power of the interior boundary value is related linearly to the exterior boundary value and a given Hölder continuous term. By substituting the nth power of the interior function, the problem i…
This paper studies when the coordinate values of a multidimensional stationary random sequence form a basis in the Hilbert space generated by the process, with emphasis on representations relevant to linear prediction. Using the spectral density matrix, it gives necessary and sufficient conditions f…
This paper reports continuous shipboard measurements of incoming solar radiant heat over the ocean during the voyage of the diesel-electric ship Ob’ from Antarctica to the Baltic Sea, spanning approximately 64 degrees S to 60 degrees N latitude. A Shuleikin solarigraph, calibrated against pyranomete…
This paper formulates a general interpolation theorem for operators acting between Banach spaces organized into analytic scales, defined through parameter-dependent analytic operator families and logarithmically convex norms. It develops examples including scales generated by fractional powers of po…
The paper studies uniform approximation of summable periodic functions whose generalized Weyl derivatives belong to bounded classes by linear polynomial means, with particular emphasis on de la Vallée-Poussin sums. It derives an integral representation for the approximation error associated with a g…
The paper studies a boundary value problem for a heat type equation in a plane layer with axial symmetry and a radial convective term, emphasizing the case in which the axis is a source of fluid and the temperature at the axis can be prescribed. Using Hankel transform methods and Bessel functions, i…
The paper proposes a principle for a parallel associative memory device that retrieves records by matching arbitrary parts of their stored content rather than by address. It represents each information unit together with its inverse code and formulates search conditions using set intersections, allo…
This paper applies Vinogradov’s method of trigonometric sums, in Chudakov’s form, to binary problems in prime number theory, especially the Hardy and Littlewood conjecture for prime pairs separated by a fixed even difference and the analogous problem of representing even integers as sums of two prim…
The paper addresses the calculation of the frequency-dependent optical polarizability of a hydrogen atom or hydrogen-like ion in the ground state, noting that the standard dispersion formula converges slowly away from resonance frequencies. By reducing the perturbation equation to a radial different…
This study examines the reactivity of triallylboron with alcohols, phenol, carboxylic acids, and aldehydes under argon at room temperature, extending previous work on organoboron derivatives. Reactions with alcohols and phenol gave corresponding diesters of allylboronic acid with evolution of propyl…
This paper reexamines the origin of color in salvarsan and related organoarsenic compounds, rejecting earlier explanations based on isolated arsenic double-bond groups. It argues that coloration arises from chains or networks of unsaturated trivalent atoms, especially arsenic, whose electronic inter…
This paper examines whether selenocyanate and selenourea can be introduced into the inner coordination sphere of trivalent cobalt dimethylglyoxime complexes, in analogy with known thiocyanato and thiourea compounds. The authors synthesize a series of selenocyanato cobalt dioximes, including potassiu…
This note studies homogeneous and nonhomogeneous Riemann boundary value problems on closed Riemann surfaces, together with conjugate problems formulated for analytic differentials. Using the Riemann Roch theorem, it gives dimension counts for the solution space in terms of the index and genus, estab…
This paper reports the preparation and reactions of previously undescribed esters of unsaturated phosphinous acids, compounds containing both an unsaturated carbon group and trivalent phosphorus linked through a carbon phosphorus bond. Vinyl, ethynyl, vinylphenyl, and p-vinylphenyl derivatives were …
This study examines the mechanism of thermal destruction in epoxy resins cured with maleic anhydride and polyethylene polyamine, treating degradation as a radical-chain process. The authors compare gas evolution, residue weight loss, and electron paramagnetic resonance measurements, and analyze vola…
This paper develops a conformal differential geometry of two-parameter families of spheres in three-dimensional conformal space using Cartan moving frames and exterior forms. It identifies fundamental geometric objects of first, second, and third order, proves that the third-order object determines …
This paper develops a statistical treatment of radiation chemical reactions in condensed bodies, addressing the increase of reaction rates under ionizing radiation that cannot be explained by a rise in mean temperature. Extending a prior fluctuation based theory of activation processes, it models lo…
This note refines earlier results on multidimensional singular integral equations in the space Lp by replacing a restrictive Hölder-type condition on coefficients and characteristics with Sobolev-type smoothness assumptions on the angular symbol. It establishes boundedness and norm-convergent spheri…
The paper develops exact and high-order homogeneous three-point conservative difference schemes for one-dimensional boundary-value problems of the first, second, and third kinds for a second-order linear differential equation with variable coefficients. The construction uses local template functions…
This study examines unresolved questions in the polymorphism of higher fatty acids, including the reversibility of phase transformations in stearic and palmitic acids, polymorphism in the stearic acid, palmitic acid molecular compound, and the possible existence of an oleic acid phase near 20 degree…
This paper investigates 1-thionaphthenone-3-dioxide-1 as a sulfur-containing analogue of indandione-1,3, motivated by the practical and physiological importance of indandione derivatives. The authors describe an improved preparation of 1-thionaphthenone-3-dioxide-1 by saponification of the correspon…
This paper examines why many coordination complexes deviate from the highest symmetry expected for a given coordination number, relating such distortions to the Jahn-Teller instability of electronic states. Using an electrostatic ion-ligand or ion-dipole model, the author derives perturbative expres…
This paper examines postcritical elastic deformations of strictly convex shells, focusing on buckling states in which the shell shape differs substantially from its initial configuration. It argues that bulging in geometrically non-bendable convex shells is well approximated by mirror reflection of …
This note studies when a subsemigroup of a free semigroup is itself free, allowing free semigroups that include both group-like generators with formal inverses and purely semigroup generators. After establishing basic properties concerning kernels, pure parts, bases, and cancellation, it introduces …
This paper examines the separation and characterization of aromatic hydrocarbons in the 175 to 300°C kerosene fraction of Romashkino crude oil, a fraction of increasing practical interest for high boiling petroleum products. The authors apply a two stage chromatographic procedure: initial isolation …
This paper examines whether available geophysical and laboratory data are consistent with the hypothesis that the Earth’s core consists mainly of iron. Using a high pressure equation of state for iron, the author calculates density, pressure, temperature, and longitudinal wave velocity distributions…
This study examines amination of polyhalogenated benzenes with potassium amide in liquid ammonia and with aqueous ammonia in the absence of copper salts, focusing on whether substitution can proceed by a bimolecular nucleophilic mechanism rather than through dehydrobenzene intermediates. Hexahaloben…
The study examines the reaction of N-benzoyl-O-(benzoylphenylalanine-C14)-serine with ribonuclease, extending earlier work on transfer of labeled benzoylphenylalanine to proteins. Ribonuclease was incubated with the labeled O-peptide under varying peptide to protein ratios, with active, boiled, or a…
The paper addresses the synthesis of passive reactive two-port networks as chains of elementary, indecomposable two-ports, focusing on the transmission matrix rather than only the impedance matrix. It formulates the reactivity conditions for a frequency-dependent transmission matrix as rational pari…
This paper studies approximation of uniformly almost-periodic functions whose Fourier exponents accumulate at zero, focusing on estimates obtained by deleting or approximating the low-frequency part of the spectrum. It introduces approximation quantities tied to a spectral cutoff and proves bounds i…
This study examines the physical and catalytic properties of polymers formed by polycondensation of methyl-beta-chlorovinyl ketone, including samples prepared with and without ferric chloride and subsequently heat treated. The authors characterize changes in composition, magnetic susceptibility, ele…
This paper develops implicit function theorems for analytic mappings between complex Banach spaces, using the representation of such mappings by homogeneous power series and a majorant series method. After establishing comparison lemmas for analytic functions and scalar majorants, it proves existenc…
This paper studies Bernstein type polynomials of two variables for continuous functions on the standard triangle and relates them to multinomial probabilities. It recalls uniform approximation and derivative convergence estimates, then develops recurrence relations for associated moment polynomials …
