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 examines the stability of purely forced oscillations in a class of nonautonomous autorotational systems, motivated by the motion of unbalanced rotors operating between critical speeds. Starting from nonlinear equations including external damping, internal friction, shaft curvature nonline…
This study examines how added cations affect oxygen overvoltage on platinum during anodic oxygen evolution in perchloric and sulfuric acid solutions. Polarization curves, continuously recorded current, potential curves, and potential decay measurements were used to compare the effects of cesium, pot…
This paper analyzes a particular solution of the Euler, Poisson equations for a heavy rigid body with cavities filled by an ideal incompressible fluid, under specified restrictions on the inertia parameters and the position of the center of gravity. Although the known solution resembles Grioli’s for…
This paper examines the presence and altitude distribution of molecular and atomic nitrogen ions in the Earth’s upper atmosphere, using mass spectrometric measurements from rocket flights and the third artificial Earth satellite in 1958 and 1960. The analysis estimates ion concentrations from mass s…
This study examines catalytic hydrogenation of unsaturated compounds in solution under conditions where the substrate concentration is kept low and approximately constant by uniform dropwise feeding, rather than allowing it to decline during reaction. Sodium maleate and sodium o-nitrophenolate were …
This note studies the local relationship between a nonlinear differential system near a hyperbolic singular point and its linearization. Building on earlier topological equivalence results, it imposes a stronger smallness condition on the nonlinear term, expressed through a logarithmically weighted …
This paper extends an earlier scheme for describing winter atmospheric heat transfer from oceans into continents, treating the active atmospheric layer as a heat conducting and radiating film. Using Australian winter temperature anomalies as a simple case, it argues that a linear decrease of tempera…
The paper introduces singular operators of arbitrary nonnegative order on compact smooth manifolds, unifying differential operators and singular integral operators within a common symbolic framework. It defines their principal symbols intrinsically on the nonzero tangent bundle, proves basic symboli…
The paper studies extremal problems for functions represented by integrals of nonnegative polynomials subject to several linear conditions on their coefficients, with attention to nonsymmetric intervals and cases including monotone behavior on a half-axis. It establishes structural restrictions on e…
This paper studies the Green’s function for an nth order linear ordinary differential equation with multipoint boundary conditions given by linear functionals of derivatives at prescribed points. Assuming the corresponding homogeneous problem has only the trivial solution, the author derives an expl…
This paper investigates optical methods for determining the refractive index and transparency of transparent substances subjected to ultrahigh pressures in shock waves. Using high-speed photochronography, the authors measured light reflected from shock-wave fronts and analyzed water in detail by bot…
This study determines thermodynamic properties of platinum-lead alloys in the 700 to 875 °C range, with emphasis on the solid intermetallic compounds PtPb and Pt3Pb. Lead activities were measured by the Knudsen effusion vapor pressure method, then used to calculate partial enthalpies and entropies, …
This note addresses whether the completion by intersections or cuts of a Dedekind lattice with complements must itself be Dedekind. Using the lattice of subspaces of a Hilbert space, it studies the ordered set consisting of all finite-dimensional subspaces and their orthogonal complements, showing t…
This paper examines the extraction of colloidally precipitated iron hydroxide from aqueous solutions by fatty acids, questioning the view that metal extraction proceeds only through formation of soluble fatty acid salts in the organic phase. Experiments with ferric hydroxide produced by ammonia neut…
This paper examines the formation of uranyl carbonate complexes in reactions of uranyl nitrate with sodium bicarbonate, contrasting the product with the more commonly reported uranyl tricarbonate species. The authors prepare an isolable crystalline sodium uranyl dicarbonate by adding sodium bicarbon…
The paper investigates the kinetics of cyclohexene oxidation to cyclohexanone by palladium salts in aqueous perchloric acid solutions, using p-benzoquinone to reoxidize palladium and prevent complications from metallic palladium precipitation. Reaction progress was followed potentiometrically throug…
This study examines the formation of metastable supersaturated solutions during the hydration of beta-dicalcium silicate and tricalcium silicate in the CaO, SiO2, H2O system. Using dilute suspensions protected from atmospheric carbon dioxide, the authors measured calcium and silicate ion concentrati…
This paper studies integral error functions of arbitrary real order, defined as solutions of a second order differential equation and represented by an integral for suitable indices. It derives series and asymptotic representations for positive and negative real arguments, treating separately positi…
This paper studies how membership of a periodic function in Nikol’skii’s classes can be characterized through its Fourier coefficients, rather than through best trigonometric approximation. Using the known equivalence between these classes and rates of best approximation, together with Hausdorff-You…
This paper presents new cotidal charts for the principal semidiurnal tidal constituents M2 and S2 in the Australo-Asian seas, a region where large and spatially variable tides had been insufficiently generalized in earlier studies. Using harmonic constants from 650 coastal and island stations, reduc…
This study examines the addition of acetic acid and hydrogen chloride to trans,trans,trans- and cis,trans,trans-cyclododecatriene-1,5,9. Using boron trifluoride etherate for acetic acid addition and ferric chloride in methylene chloride for hydrogen chloride addition, the authors compare product com…
This paper investigates a route to alkyl-substituted gamma and delta lactones, compounds of interest for odor studies, through free-radical addition of carboxylic acids and their methyl esters to vinyl and allyl esters. Using tert-butyl peroxide at about 155 to 164 degrees, the authors prepared 1:1 …
The paper develops projective differential geometry for an n-dimensional surface in a projective space of dimension 2n minus 1. Using canonization of a moving frame, it proves a general lemma for fixing components of a geometric object and applies it to define asymptotic directions and associated ca…
This study determines the equilibrium conditions for the reduction of nickel ferrite by hydrogen, including the compositions of the gas and solid phases over a range of temperatures and degrees of reduction. Experiments were performed in a closed circulating hydrogen and water vapor system, with equ…
This paper examines weak magnetohydrodynamic effects in the electrically conducting ocean under the Earth’s magnetic field. It derives an exact solution for wind-driven Ekman currents in a conducting half-space with Coriolis forces, estimating the associated electric currents and induced horizontal …
This paper addresses the deformation law of highly elastic polymeric bodies, arguing that high elasticity should be treated as an independent reversible deformation rather than as a combination of elasticity and internal friction. Using molecular considerations of flexible chain segments, it propose…
This paper studies effective criteria for recognizing unique decipherability, bounded decoding delay, and synchronization in code systems defined by paired dictionaries of messages and code words. It introduces right and left classes generated from a code dictionary and uses them to give finite test…
This note studies best approximation of functions on a bounded nonseparating continuum by finite linear combinations of elements of a basis of analytic functions. Building on Erokhin’s extension of Bernstein’s theorem and using the principal basis of the space of functions analytic in a surrounding …
The study examines the kinetics of catalytic oxidation of propylene to acrolein over a cuprous oxide, copper contact using a flow circulation method designed to minimize distortions from external and internal diffusion. Measurements over varied gas velocities, oxygen and propylene concentrations, te…
This note establishes several Sylow type embedding theorems for finite groups, formulated in terms of sets of primes, Pi-subgroups, and Pi-Hall subgroups. It introduces a strong Pi-Sylow condition requiring conjugate embedding of subgroups of appropriate order into a given Pi-subgroup, and proves th…
The paper develops a theory for the anodic dissolution of electronic silicon, emphasizing that unlike germanium, silicon requires explicit consideration of carrier generation in the near-contact Debye layer. Using transport and recombination equations for the quasineutral and depleted regions, the a…
The paper develops integral representations for functions holomorphic in bounded complete multicircular domains in several complex variables. Using biorthonormal systems on the distinguished boundary, finite complex measures, and moment conditions on auxiliary functions, it derives kernels that repr…
This paper studies integral transformations of homogeneous generalized functions in Euclidean space and the corresponding operators on functions defined on spaces of constant curvature. Using convolution operators, Fourier transforms, analytic continuation, and related transformations on elliptic an…
This study examines how terminal substituents influence the electronic absorption spectra of asymmetric 5-nitrofurylpolyene derivatives in which the substituent is separated from the nitrofuran chromophore by zero to four conjugated vinylene groups. Spectral measurements for a series of derivatives …
This note studies Weyl multipliers for unconditional almost everywhere convergence of series in the Haar orthonormal system. Building on earlier results that powers of logarithms with exponent greater than one are sufficient and those with exponent less than one are not, it proves a sharp criterion …
This study examines how surface-active substances affect the dissolution kinetics of calcium carbonate in mineral acids, with attention to possible inhibitors useful in acid treatment of carbonate materials. More than twenty compounds, including hydrophilic polymers, anionic surfactants, amine salts…
This paper formulates a discrete time problem of detecting a spontaneously arising change in the distribution of independent observations, where the unknown change time has a geometric prior distribution. It relates the expected number of false signals before the change to the probability of a prema…
This paper estimates the mobility of atoms on crystal surfaces at the melting temperature, treating mobile autoadsorption as a state with two-dimensional translational motion and altered vibrational entropy. Using a bond-counting model for atoms at growth-step kinks and low-index surface layers, tog…
This paper introduces two notions for the representation theory of complete completely regular rings, and by extension locally compact groups: isomorphism of representations, defined by equality of kernels or equivalently by equality of operator norms on all ring elements, and simple representations…
This paper studies the multidimensional Cauchy problem for the nonlinear parabolic equation governing nonstationary gas filtration in a porous medium. It introduces a generalized solution for bounded nonnegative initial data tending to a constant at infinity, proves uniqueness, and constructs soluti…
This note studies compact operators in the class defined by summability of singular numbers with weights \((2n-1)^{-1}\), and their role in triangular integral representations of Volterra operators in a separable Hilbert space. It proves that for every self-adjoint component in this class and every …
This note studies when perturbations of a complete system remain complete in a complete countably normed space represented as a projective limit of Banach spaces. Using weighted sequence spaces and operator arguments, it proves criteria for completeness under small matrix perturbations, triangular p…
This paper examines Polanyi’s rule for reactions in which proton transfer through a hydrogen bond is the determining step, questioning the usual classical interpretation based on changes in barrier height. The authors model the proton quantum mechanically in an asymmetric double potential well and s…
This paper studies a nonlinear second order boundary value problem with a small parameter multiplying the highest derivative, motivated by the temperature field of a cooled gas turbine blade. The differential equation is formulated as an operator equation in a normed space, and Newton’s method is an…
A method is described for preparing aromatic acid chlorides and bromides by heating aromatic aldehydes with carbon tetrachloride or bromotrichloromethane in sealed tubes, without added peroxide initiators. Benzaldehyde and several substituted aromatic aldehydes gave the corresponding acid chlorides …
The paper studies bases in spaces of abstract functions with values in a Banach space X, constructed from a Banach function space B and a basis in X. It defines the space B^X through approximation by step functions, establishes its basic integration and completeness properties, and formulates condit…
This note addresses the global isometric immersion of a two-dimensional Riemannian manifold homeomorphic to a sphere into a complete three-dimensional Riemannian space of nonpositive curvature. It improves an earlier curvature condition by proving that, when the ambient sectional curvatures do not e…
This paper examines the kinetics and probable mechanism of direct substitution of the nitro group by chlorine in nitrobenzene and m-chloronitrobenzene using carbon tetrachloride as the chlorinating agent. Reactions were followed in sealed tubes with a thermophotometer by monitoring visible light abs…
The study examines the interaction of hydrous potassium metaniobate with oxalic acid in aqueous solution, motivated by the importance of niobium and tantalum oxalate systems in analytical, radiochemical, and separation chemistry. Using physicochemical methods including conductivity, optical density,…
