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 derives a general relation between an arbitrary applied electromotive force and the resulting current in an electrolytic cell with a spherical stationary microelectrode. Using diffusion kinetics, Tafel electrode behavior, double-layer capacitance, and solution resistance, it formulates th…
The paper develops a steepest descent method for solving linear equations in Hilbert modules over a finite-dimensional complex K-space. It first formulates the necessary module structure, structural norm and product, regular operators, homogeneous operators, and positivity properties needed to trans…
This study examines the electronic environment of tin in 22 organotin compounds using Mössbauer resonance absorption of 23.8 keV gamma quanta by tin-119 nuclei. Isomeric chemical shifts and quadrupole splittings were measured at liquid nitrogen temperature and compared across tetraalkyl, carboxylate…
The paper studies the remainder term in asymptotic formulas for weighted counts of integer points satisfying congruence conditions inside multidimensional ellipsoids defined by positive definite integral quadratic forms, with dimension greater than four. Using methods associated with Landau, Walfisz…
This paper studies regularizing properties of potentials associated with a general uniformly elliptic second-order equation in a bounded domain with sufficiently smooth boundary and coefficients. It proves that the direct value on the boundary of the double-layer potential, and the direct value of t…
This study reports room temperature measurements of the electrical resistance of PbTe, CdTe, and Bi2Te3 under pressures up to 200,000 kg/cm2. The resistance curves show characteristic anomalies: PbTe exhibits minima near 65,000 kg/cm2 and maxima near 80,000 to 85,000 kg/cm2, CdTe undergoes an abrupt…
This paper examines early waves observed on polarization curves of pure molten chlorides of cadmium, tin, and lead at platinum electrodes before the decomposition voltage is reached. Chronopotentiometric measurements of the indicator cathode potential show that the transition time is independent of …
This paper studies geodesic correspondences of semi-reducible Riemannian spaces with indefinite metric, extending earlier results for positive-definite Levi-Civita spaces and the class of spaces denoted V(K). Using the differential equations characterizing metrics with common geodesics, it analyzes …
This paper studies products of bases of analytic functions in arbitrary simply connected domains, extending earlier results that treated disks or simple unit bases. Using Faber polynomials and associated isomorphisms between disk spaces and spaces of functions analytic on domains bounded by Jordan c…
This study examines how periodic mechanical forces affect structural changes and mechanical behavior during crystallization of polyethylene terephthalate. Amorphous quenched samples were subjected either to heat treatment or to simultaneous heat and sinusoidal compressive deformation at 80, 95, and …
The study examines the vibrational spectra of alkali metal fluoroberyllates M2BeF4, whose crystal lattices contain BeF4 2- tetrahedral anions. Infrared absorption spectra of Li, Na, K, Rb, and Cs compounds were recorded from 300 to 1000 cm-1, and the Raman spectrum of solid K2BeF4 was obtained using…
This study examines the valence state and bonding character of cerium and lanthanum in rare-earth hydrides of variable composition, especially within the berthollide region from dihydride to trihydride. Cerium and lanthanum hydrides with different hydrogen contents were prepared by direct hydriding …
This paper extends a process of successive approximations for solving functional equations from fixed point equations to equations of the form Ax = 0 in semi-ordered spaces. It establishes convergence and uniqueness results for monotone Fréchet differentiable operators whose derivatives are bounded …
This study examines the proposed two-quantum mechanism for radical formation during low-temperature photolysis of diphenylamine and triphenylamine in ethanol, in which alcohol radicals arise from reaction with amine molecules excited to a higher triplet state. A kinetic treatment is developed for in…
This study examines the state of hydrogen and water in tungsten aquopolycompounds, a question not fully resolved by dehydration studies and central to proposed structural formulas for paratungstate and metatungstate hydrates. Proton nuclear magnetic resonance spectra were recorded for sodium tungsta…
This paper addresses the finite axiomatizability of identities in many-valued logics, motivated by Lyndon’s positive result for two-valued logic and negative example for seven-valued logic. It constructs a closed class of functions in four-valued logic generated by a specified binary operation and s…
The paper studies non-self-adjoint boundary-value problems on the half-axis for a second-order differential expression with exponentially summable potential, including cases with spectral singularities where the associated Fourier transform is not uniquely invertible. It develops a functional calcul…
This paper develops and refines an iterative algorithm for the convex Chebyshev approximation problem, presented mainly for inconsistent systems of linear complex equations. At each step the method selects a descent direction from the active or nearly active maximal deviations, reducing its determin…
This note studies variants of representability of enumerable sets in generating bases, especially when strict representation is modified by partitions of words or by algorithms translating words between alphabets. It introduces notions such as strongly decidable bases, representation relative to pri…
The paper examines the mechanism by which dialkyldichlorosilanes form during the direct reaction of alkyl chlorides with silicon in the presence of copper. It argues that cuprous chloride, produced by interaction of alkyl chloride with copper, reacts with silicon to generate an intermediate silicon …
This note proves conditions under which a condensation, understood as a one-to-one continuous mapping, onto Euclidean space must be a homeomorphism. The main theorem states that any condensation from a connected, locally bicompact paracompact space onto Euclidean space is a homeomorphism, with a str…
This paper analyzes scattering of a plane sound wave by a thin finite cylindrical shell mounted in a rigid cylindrical screen and immersed in a moving medium. Using Green’s functions for the convected acoustic equation and the shell vibration equations, the boundary-value problem is reduced to integ…
The study constructs a phase diagram for the binary scandium oxide, aluminum oxide system, motivated by the limited prior knowledge of scandium aluminates and their relation to rare earth aluminates. Mixtures of high purity oxides were synthesized, annealed, quenched, and examined by metallographic …
The paper extends Sobolev’s embedding theory for abstract additive set functions with values in a Banach space. It introduces Lipschitz-type classes for such functions on domains and on intersections with smooth manifolds, then derives kernel estimates from an integral representation of sufficiently…
This paper develops a one-dimensional theoretical model for ignition of nonvolatile condensed systems by contact with an incandescent surface, accounting for heat conduction and distributed exothermic reactions while neglecting reactant consumption during the ignition time. The boundary condition is…
This paper examines nonlinear aerodynamic stability of laminar viscous incompressible flows, focusing on channel flow and boundary-layer approximations. It applies a small-parameter method in which the first approximation is the usual linear Orr-Sommerfeld problem and higher approximations are obtai…
The paper studies the existence of periodic solutions for systems of differential operator equations in Banach spaces, with a small parameter multiplying one derivative and with a known smooth periodic solution of the degenerate system. The method reduces the periodic boundary problem to nonlinear i…
This study examines solid state, high temperature reactions of chromium trioxide with potassium dichromate, chromate, carbonate, chloride, and hydroxide, motivated by their relevance to the preparation of multicomponent chromia catalysts. Electron paramagnetic resonance spectra and magnetic suscepti…
This study examines the use of mass spectrometry for carbohydrate analysis, focusing on methyl ethers and acetates of glycosides as more volatile derivatives. Mass spectra were recorded for methylated methyl glycosides of glucose, galactose, and mannose, as well as selected phenyl glycosides and ace…
This paper generalizes a known property of quadratic forms in normal variables, whose characteristic functions satisfy linear homogeneous differential equations with polynomial coefficients, to broader polynomial statistics. It defines a class of suitable polynomial forms and statistics, based on th…
This note develops the thermodynamic perturbation theory for a nonideal Bose-Einstein system using a previously defined principal dynamical operator as the unperturbed part. It analyzes diagrammatic decompositions with respect to single particle lines and interaction lines, introducing corresponding…
This paper examines dynamic criteria for identifying the subpolar front in the North Atlantic, defining the frontal zone through maxima in horizontal gradients of vertical current velocity as a practical equivalent to gradients in horizontal current velocity. Using 1958 spring and autumn hydrographi…
This paper studies the two-dimensional elastic collision of flat semi-infinite rods, motivated by the reduction of cylindrical rod impact problems to this case. The analysis formulates the motion in terms of volumetric and shear strain functions, applies Sobolev’s method directly to these functions,…
This study examines the reactions of diacetylene with bifunctional compounds containing primary amino or hydroxyl groups, focusing on alkylenediamines and ethanolamine. Experiments with ethylenediamine and 1,2-propylenediamine showed vigorous exothermic addition followed by cyclization to diazacyclo…
This paper applies Bogolyubov’s canonical transformation method to the Overhauser spin density wave state of an interacting electron system in a crystal lattice. Starting from a single band Bloch electron Hamiltonian, it introduces a transformation mixing states with wave vectors k and k plus Q and …
This paper proposes a unified scheme for formulating dual extremal problems arising in linear programming, game theory, moment problems, and approximation theory. It defines primal problems through two ordered families of subsets and constructs a dual problem using real-valued functions that separat…
The paper studies boundary behavior of homeomorphisms from a Euclidean ball onto a domain that belong to a class defined through preservation of zero Mazurkiewicz-type distance between connected sets, a class including quasiconformal and conformal mappings. It introduces attainable boundary points, …
This paper studies the full lattice of polyverbal subgroups of a countable free product of free groups and the corresponding polyverbal operations on groups, extending earlier work focused mainly on neutral cases. It decomposes each polyverbal subgroup into verbal and neutral components, establishes…
This paper reports measurements of the dynamic viscosity of n-hexane in liquid and gaseous states over temperatures from 15 to 275°C and pressures from 1 to 500 atm, addressing the limited availability of high-pressure data for this substance. Using a capillary viscosimeter and purified n-hexane, th…
This paper reports measurements of the spectral and temporal characteristics of a ruby laser operating at liquid nitrogen temperature, 77.4 K. Using a Fabry Perot interferometer and separated photomultiplier detection, the authors examined the two radiation components associated with transitions fro…
This paper studies the loss of stability of a shell of revolution subjected to normal pressure uniformly distributed along a parallel. The analysis approximates the buckled shape by an isometric double mirror reflection of portions of the original surface, reduces the deformation energy near the aff…
This paper examines charge transport and rectification in radiation-thermally modified polyethylene, including the effect of iodine treatment on conductivity type and carrier mobility. Frequency-dependent and temperature-dependent conductivity measurements are used to test a model in which barriers …
This study examines whether diphenyliodonium halides have ionic or nonionic structures by measuring their long-wavelength infrared spectra from 400 to 20 cm^-1 and low-frequency Raman spectra. Spectra were obtained for diphenyliodonium tetrafluoroborate, chloride, and iodide, with attention to bands…
This paper studies best approximation in the first degree mean metric on the unit circle for analytic functions with singularities outside or inside the circle, including rational functions, logarithms, and powers. Using a criterion for best approximation in \(L_p\) on rectifiable curves, specialize…
This paper reports a reaction of certain ethers with thiourea in anhydrous formic acid to give S-substituted isothiuronium compounds, isolated as picrates. The authors propose that the process proceeds through dialkylhydroxonium formates and may follow either an SN1 or SN2 pathway depending on ether…
This study investigates whether thin liquid films confined between montmorillonite layers possess optical anisotropy, using polarization microscopy to measure birefringence during swelling in aqueous salt solutions and selected organic solvents. Observed birefringence of sodium montmorillonite swoll…
This paper derives kinetic equations for wave interactions in a weakly turbulent collisionless plasma by expanding the plasma Lagrangian in powers of the oscillation amplitude, rather than starting from hydrodynamic equations. For an isotropic homogeneous plasma, it analyzes three-plasmon and four-p…
This paper investigates the mechanism of cobalt acetate catalyzed decomposition of ethylbenzene hydroperoxide using chemiluminescence as a kinetic probe. The authors relate luminescence intensity to hydroperoxide decomposition rate and analyze its dependence on hydroperoxide concentration, catalyst …
This paper studies absolute stability of control systems whose linear part is coupled to hysteresis or relay hysteresis nonlinearities satisfying a sector condition. It formalizes classes of hysteresis operators, including operators with positive hysteresis loop area, and derives frequency domain su…
