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 non-iterative grid method for boundary-value problems for the Helmholtz equation in domains naturally described by polar coordinates, with emphasis on Dirichlet and Neumann problems in a disk. Using the method of lines in the angular variable, the periodic finite-difference coup…
This note studies Runge approximation in spaces of several complex variables, where the one variable Runge theorem does not generally extend. It proves a criterion: a domain is Runge precisely when its envelope of holomorphy is convex with respect to a class of holomorphic functions whose members ar…
The paper studies constant coefficient hypoelliptic equations in two variables whose real characteristic polynomial has real zeros with nonvanishing gradient. It constructs fundamental solutions by deforming integration contours around prescribed arcs of the real characteristic set, then derives the…
This study examines the kinetics and mechanism of butyrolactam hydrolysis in aqueous potassium hydroxide, combining rate measurements with infrared and ultraviolet spectroscopy to identify reactive forms of the lactam in alkaline media. Spectral changes indicate equilibria among nonionized, singly i…
This paper reports experimental determinations of the constant volume heat capacity of water and water vapor in the two phase region and in superheated vapor along the right branch of the saturation curve, including specific volumes from 3.61 to 21.64 cm3/g. The results are compared with calculated …
This paper reports radar observations of Mercury conducted in June 1962 near inferior conjunction, when the planet was 83 to 88 million km from Earth. The experiment used approximately 700 Mc transmissions with alternating telegraphic pulses, magnetic recording of weak reflected signals, Doppler com…
This study examines how the structure of aliphatic dinitriles influences the course of catalytic hydrogenation, particularly the competition between formation of linear primary diamines and cyclic secondary imines. Glutaric, adipic, pimelic, azelaic, sebacic, and dodecanedioic acid dinitriles were h…
The paper formulates the manifestation of rock pressure in deep horizontal workings as a stability problem for an elastic-plastic rock mass surrounding a circular opening. Assuming an initially hydrostatic stress field, a Coulomb-type plasticity condition, and an elastic region outside a plastic zon…
The paper develops a framework for additive set functions with values in Banach spaces, introducing norms, absolute continuity, translation continuity, generalized derivatives, and related spaces of Sobolev type. It establishes embedding and compactness criteria for these spaces and identifies sever…
This paper proves a representation theorem for continuous almost homogeneous additive functionals of a multidimensional Wiener process. It shows that, after localization on an increasing sequence of closed sets, such a functional can be written as the sum of a terminal difference of functions of the…
This paper proposes a chemiluminescent method for determining oxygen consumption rates, dissolved oxygen concentrations, and ratios of elementary rate constants in initiated liquid-phase hydrocarbon oxidation. The method uses the sharp decay of chemiluminescence in a sealed vessel as oxygen is exhau…
The paper addresses the construction of invariant differential forms and structural equations for infinite transformation groups defined by an involutive system of differential equations. Instead of following Cartan’s stepwise reduction to a Pfaffian system, it first constructs invariant forms for t…
This paper analyzes the magnetohydrodynamic stability of a cylindrical plasma column with a nonuniform current distribution across its cross section. Assuming an incompressible, inviscid, perfectly conducting plasma and long wavelength perturbations, it derives a radial perturbation equation with bo…
This note gives a rigorous justification of the leading short-wave asymptotics for the Green function of the exterior Dirichlet problem for the planar Helmholtz equation outside a smooth convex contour. The construction introduces an approximate Green function assembled from incident, reflected, and…
This paper presents a method for transforming a simplified hydrodynamic system used in short-range weather forecasting into algebraic form. The approach approximates meteorological fields and their products on a spatial grid by finite polynomial sums, integrates the governing equations over coordina…
This paper examines two proposed mechanisms for latent electrophotographic image formation: bulk discharge through photoconductivity with formation of an electric double layer, and loss of real surface charge through electron leakage or related surface processes. The authors introduce an experimenta…
This paper studies boundary-value problems for variational and partial differential equations in domains whose boundary has a degenerate contour, extending earlier Sobolev-type results to nonlinear, weighted, and intersection spaces. Using generalized Sobolev spaces and weighted spaces with boundary…
This paper analyzes how the equilibrium state of a substance in solution changes as the concentration of another component varies, for systems in which components A and B form multiple compounds governed by mass action. The authors derive mathematical conditions for extrema and limiting behavior of …
The paper studies two notions of final compactness in topology: compactness defined by the existence of countable subcovers, and compactness defined by complete accumulation points of uncountable sets. After proving several compactness lemmas for products of ordinal spaces, it constructs a completel…
This paper examines the use of zone melting as a potential industrial method for purifying organic monomers, with methyl methacrylate selected for initial experiments. The authors outline the relevant distribution coefficient relations and limiting purification equations, then carry out zone melting…
This paper studies Gaussian, shift-invariant dynamical systems through the structure of the associated unitary ring of square-integrable functionals. Using generalized Hermite polynomial expansions, it identifies the shift automorphism of a one-dimensional normal dynamical system with a concrete aut…
This paper studies the unitary representation of the real matrix group of order n on the homogeneous space G/Gamma, where Gamma is the subgroup of integral matrices, using the method of horocycles. It classifies compact horocycles in this space by block upper triangular horocyclic subgroups associat…
This note studies Hausdorff bicompacta that are continuous images of ordered bicompacta, with particular attention to spaces satisfying the Suslin property. The authors introduce quasi-open and light mappings, show that such representations may be chosen for continuous images of ordered bicompacta, …
This paper determines the maximal dimension of complete groups of motions for Einstein spaces of nonconstant curvature when indefinite as well as positive definite metrics are allowed. Using the integrability conditions for infinitesimal motions in an orthonormal frame and a canonical analysis of th…
This note addresses Mal’tsev’s question concerning which degrees of unsolvability can occur for the word identity problem in finitely presented groups. Using reducibility by unrestricted Post tables, the argument combines a construction of Turing machines with prescribed enumerable-set degree, Boone…
This study examines double oxides formed from tungsten, tantalum, and niobium oxides with thorium, cerium, and uranium oxides, addressing a comparatively underexplored area relative to ordinary tungstates, niobates, and tantalates. Oxide mixtures were sintered in air, nitrogen, or evacuated quartz a…
The paper examines whether rate constants for elementary steps in catalytic polymerization can be derived from steady-state kinetic measurements. Using a model with a constant total number of active centers, initiation by first monomer addition, uniform propagation, and chain termination or transfer…
This paper examines whether amplitude curves of longitudinal body waves can improve constraints on upper mantle velocity structure and earthquake magnitude estimates, especially at epicentral distances where travel time curves are weakly diagnostic. Using ray formula calculations, the authors compar…
The paper reports the synthesis of previously little studied ethyleneamides of glycol phosphorous acids, motivated by the reactivity of the ethyleneimine ring and possible cytostatic relevance by analogy with known phosphorus-containing antitumor agents. A series of compounds was prepared by reactin…
This study examines chlorine isotopic exchange in Zeise’s salt, K[PtC2H4Cl3], in order to test how the strong trans influence of ethylene affects the kinetic equivalence of coordinated chlorine atoms. Exchange experiments used chloride labeled with Cl36, separation of complex and external chloride b…
This note studies empirical Bayesian estimation of a parameter when the prior distribution is unknown, but a long independent sample from the resulting mixture distribution is available, a setting called Robbins’ scheme. For a discrete random variable with distribution depending on a real parameter,…
This paper develops a theory for the intrinsic viscosity and translational friction constant of semirigid macromolecules in solution, extending hydrodynamic treatments beyond infinitely flexible Gaussian coils to chains of finite length and nonzero persistence length. Using general Kirkwood-type exp…
This paper studies approximate solution of first-kind operator equations in Banach spaces when the inverse operator is not continuous. It proposes a scheme in which the unknown is restricted to a compact uniqueness class and approximated by an increasing sequence of finite-dimensional compact subset…
This note examines convergence of cubature and quadrature formulas from the viewpoint of order of proximity, contrasting it with convergence measured by the norm of the error functional on a Banach space. Sobolev reformulates the error functional as an operator acting on abstract functions with valu…
Electron paramagnetic resonance relaxation was investigated in concentrated solutions of alpha,alpha-diphenyl-beta-picrylhydrazyl to clarify the role of exchange interactions in spin relaxation. Using continuous saturation at 460 MHz, the authors measured T1 and T2 over concentrations from 0.17 to 0…
This paper studies extension problems for completely continuous operators with values in a Banach space and applications to fixed point theory. It proves that if such an operator is defined on a closed set, then it can be extended to the whole space so that its image lies in the closed convex hull o…
This paper examines how dispersion and small body size may affect the electron work function of metals, drawing an analogy with the surface-tension term in the chemical potential of solutions. Using a simple potential-box model for the electron gas, the authors derive an inverse-radius correction to…
This paper studies invariant subspaces of real Volterra operators in a separable Hilbert space relative to a fixed involution. Using characteristic operator functions, it establishes a criterion for \(S\)-unicellularity: a Volterra \(S\)-real operator is \(S\)-unicellular precisely when the set of i…
This paper reports experimental tests of rarefied air filtration through porous bodies in the Knudsen and transition pressure regions, motivated by theoretical predictions of a pseudomolecular flow regime in highly porous media. Using a vacuum apparatus with capillary flow measurement and pressure c…
This paper studies the analytic properties of partial waves of the scattering amplitude in perturbation theory without assuming the Mandelstam representation. Using the Feynman parameter form of scalar equal mass diagrams, it proves that each partial wave is analytic in the complex energy plane cut …
The study examines how high concentrations of water vapor affect the catalytic oxidation of propylene to acrolein over copper oxide contacts, a process accompanied by carbon dioxide formation and further acrolein oxidation. Using a flow circulation method in a gradientless reactor under diffusion-fr…
This study investigates the synthesis and complex-forming behavior of aromatic organocadmium compounds of the type Ar2Cd, a class previously represented chiefly by diphenylcadmium. By modifying a Grignard-based preparation using cadmium bromide and 1,4-dioxane, the authors obtained diphenylcadmium, …
This paper examines reduction of internal states in a class of finite automata, with particular attention to asynchronous automata described by transition matrices and by equations in which state changes depend on changes of input state. The authors explain how a transition matrix for an asynchronou…
This paper investigates the polycondensation of acetaldehyde on dehydrating silicic acid gel under continuous removal of water vapor. Hydrogels dried in acetaldehyde vapor at room temperature developed colored products within the pores, which were isolated after dissolving the silica and examined by…
This paper examines how elasticity in the supports of the outer ring axis of a Cardan suspension affects nutational oscillations and gyroscope drift. Starting from the inertial equations for a balanced gyroscope, it uses an added-degree-of-freedom formulation to compute support reaction moments and …
The paper studies the two-dimensional diffraction problem for the exterior of a convex polygon with zero boundary conditions, focusing on the singularities of the time-dependent Green’s function and the resulting high-frequency asymptotics of the stationary Green’s function. It develops a constructi…
