SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
The paper presents a general method for reducing by two the order of a Hamiltonian system when one integral of motion is known. It constructs a canonical transformation whose generating function satisfies a Hamilton-Jacobi type equation with the given integral playing the role of the Hamiltonian, an…
This paper investigates resonance properties in electrochemical self-oscillating systems, focusing on a copper anode in phosphoric acid whose stationary polarization curve lacks a falling segment but whose dynamic polarization curve can show a negative slope dependent on signal frequency. Using a tw…
The paper studies approximation methods for singular solutions of the Chaplygin equation near the degenerate line and along characteristic boundaries. It reformulates the problem through an auxiliary equation, constructs Riemann integral kernels from boundary data, and develops iterative expansions …
This paper develops a spatial analogue of the length and area method used in the theory of plane conformal and quasiconformal mappings, based on transformations of a three-dimensional Dirichlet-type integral. For continuously differentiable topological mappings in Euclidean three-space with bounded …
This paper examines how the molecular weight of polyoxymethylene formed by cationic polymerization of trioxane depends on monomer concentration and reaction conversion. Trioxane was polymerized in methylene chloride and nitrobenzene at 30 degrees Celsius using tin tetrachloride, and polymer molecula…
This note proves several completeness theorems for root subspaces of completely continuous operators in a separable Hilbert space, using resolvent estimates and growth arguments for entire functions. It establishes criteria in terms of singular numbers, including results for operators with nonnegati…
This study examines how oxidized forms of oleic acid interact with the surfaces of limonite, ferruginized quartz, ferrimolybdite, and molybdenum oxide sol under conditions relevant to flotation. Using infrared spectroscopy of treated mineral layers, the authors compare absorption bands produced by o…
This study examines the composition, structure, and preliminary catalytic behavior of propylene oxide polymerization catalysts produced by partial hydrolysis of the ferric chloride, propylene oxide complex. Catalysts prepared under controlled anhydrous conditions and hydrolyzed with one or two equiv…
The paper establishes an \(L_p\) inequality for trigonometric polynomials that yields S. N. Bernstein’s theorem as a special case. Using two summation and integral representation lemmas, it derives a basic norm estimate for an operator defined by convolution with an auxiliary trigonometric polynomia…
This study examines the high-temperature condensation of dichlorosilane with several organochlorides, focusing on how organochloride structure affects product composition and yield. Experiments in a heated quartz tube at 600 to 650°C showed that chlorobenzene, p-chlorotoluene, and alpha-chloronaphth…
This paper reports the Friedel-Crafts acylation of cyclopentadienylrhenium tricarbonyl, extending a previously described synthesis of this organorhenium compound. Reactions with acetyl chloride and benzoyl chloride in the presence of aluminum chloride under nitrogen gave acetylcyclopentadienylrheniu…
The paper studies quasiconformal mappings between simply connected domains in n-dimensional space that are closest to conformal mappings in the sense of minimizing the distortion constant relative to conformal capacity. It defines “best extremal” mappings through equality in the capacity distortion …
This study examines the polymerization of isoprene, pentene-1, and their mixtures in hexane using a complex catalyst formed from titanium tetrachloride and triisobutylaluminum. Comparative experiments varied the Al:Ti ratio and measured polymer yield, intrinsic viscosity, and composition by refracti…
This paper examines quasi-diffusion surface waves in polarography arising when a rapid chemical reaction preceding electron transfer occurs on the electrode surface with participation of adsorbed species. Using Langmuir adsorption with low surface coverage, it derives relations for the limiting kine…
This paper studies nonnegative harmonic functions in a smooth plane domain satisfying an oblique derivative boundary condition, with possible singular behavior allowed at exceptional boundary points where the normal component of the vector field changes sign. Using an extension of Martin’s method fo…
This study examines the electroreduction of oxygen on smooth platinum in acid solutions using polarization measurements and a rotating ring disk electrode. The authors compare several acids to assess anion adsorption effects and analyze oxygen reduction in sulfuric acid as a two stage process involv…
The paper examines how the internal structure of porous powder compacts affects specific surface area values obtained by gas permeability methods. It analyzes the molecular and viscous components of gas flow, critiques calculations that neglect structural parameters or assume a constant permeability…
This paper reports the synthesis and characterization of a new class of organoboron compounds, B10C2H10RR1, termed barenes, formed by reactions of decaborane or its ligand complexes with acetylenic compounds. The authors propose a two-stage mechanism involving formation of B10H12L2 complexes followe…
Thermodynamic properties of liquid bismuth, copper, antimony alloys with a fixed bismuth to antimony atomic ratio of 1:3 were investigated as a function of copper concentration. Electromotive forces of concentration cells with copper electrodes were measured for fifteen melts over 1115 to 1215 K, an…
This paper examines the decomposition of α-ferrocenylcarbonium ions formed from ferrocene carbinols under acidic conditions, motivated by earlier observations that positively charged substituents can weaken iron, carbon bonds in ferrocene derivatives. The authors show that carbocations generated fro…
This paper estimates the contribution of ion hydration to the bulk viscosity of dilute aqueous electrolyte solutions, motivated by the role of bulk viscosity in ultrasound absorption. Using a hydrodynamic model of a hydrated ion, the authors analyze a homogeneous stretching flow, solve for the pertu…
This paper examines the microrelief and geometry of field-emission tips produced by interrupted vacuum arc breakdown in an electron projector, addressing the lack of dimensional data needed for quantitative interpretation of images. Nickel-beryllium alloy and platinum tips were prepared by electroly…
This paper analyzes excitation of molecular vibrational levels during collisions, with emphasis on conversion of translational energy into vibration when electronic transitions can be neglected. Using the Born-Oppenheimer approximation, the nuclear motion is treated semiclassically along classical c…
This paper formulates a theoretical model for numerical weather forecasting based on the full equations of atmospheric motion rather than a quasigeostrophic adiabatic approximation. The model describes a three-dimensional baroclinic atmosphere with momentum, heat, moisture phase transitions, precipi…
This study examines the gas phase mechanism by which phenakite, beryllium silicate, forms and is transported during synthesis from beryllium oxide and silica in the presence of sodium fluoroberyllate. Phenakite was synthesized in sealed evacuated quartz ampoules and in a stream of dry nitrogen, whil…
This paper derives asymptotic formulas for the diffusion of radiation in a plane layer of large optical thickness with isotropic scattering and true absorption. Starting from the integral equation for the radiation field and its resolvent, the analysis relates the finite-layer problem to the corresp…
This paper reports the preparation of previously unknown unsymmetrical aromatic zinc and cadmium organometallic compounds of the type ArMeAr′, where Me is zinc or cadmium. The compounds were synthesized by reactions of mixed zinc or cadmium organometallic halides with the corresponding Grignard reag…
This paper examines competing mechanisms proposed for the formation of molecular hydrogen and hydrogen peroxide in the radiolysis of water. Using the observed dependence of molecular product yields on the concentration of radical acceptors, the authors compare mechanisms involving recombination of t…
The paper defines and studies the space of relative topology, obtained from a topological space by taking components of elements of a base, as a topological invariant generalizing the Mazurkiewicz and Urysohn space of relative metric. It establishes basic preservation and characterization results, i…
The paper examines mechanisms of radioactive decay involving proton emission in neutron-deficient nuclei, distinguishing true proton or two-proton radioactivity from delayed proton emission following beta-plus decay. Using barrier estimates, half-lives, reaction thresholds, decay energies, and compa…
This note studies weighted norm estimates for entire functions of finite exponential type on lines parallel to the real axis, under a polynomial growth condition on the weight function. Using an auxiliary factor involving the sine kernel and Boas-type interpolation, the authors derive bounds for sym…
The paper studies the homogeneous Dirichlet problem in a bounded multiply connected plane domain for an elliptic system of second-order differential equations with variable matrix coefficients. It constructs a Levi function and uses Green’s formula to represent solutions, then reduces the boundary-v…
This paper studies smooth codimension one foliations on compact oriented manifolds, focusing on the structure of connected components defined by transverse accessibility. It classifies possible components, introduces a partially ordered invariant of a foliation, and develops tools based on closed tr…
This paper reports experiments on producing high velocity plasma clots in a coaxial railgun type electrodynamic accelerator, motivated by the need for plasma injection into magnetic traps at velocities near 10^6 to 10^7 m/s. The authors use a separate plasma source to inject a highly ionized, low ma…
This paper studies closures of classes of Hausdorff topological spaces under omega-mappings, defined by the ability to refine inverse images of an open cover through a continuous map into another space. It introduces the notion of a class omega-generating a space and records general closure properti…
The paper classifies semisimple Lie algebras over a p-adic field by reducing the problem to absolutely simple forms over finite extensions and applying root-system methods, including Satake’s description of forms. It proves the existence of a maximal nilpotent subalgebra over an unramified extension…
This study examines the pH-dependent structure of a complex-forming copolymer of the diethyl ester of vinylphosphinic acid and acrylic acid, motivated by the markedly different rates of copper ion sorption and desorption in cross-linked films of this material. Electron microscopy and electron diffra…
This note examines how the quantum scattering problem may be formulated when initial and final fluxes are specified at finite, though large, distances rather than only asymptotically at infinity. Using a partial wave expansion for elastic scattering by a potential that becomes central outside a fini…
This paper examines the free energy of the (001) cleavage plane of mica crystals, addressing earlier measurement difficulties caused by surface electrification during splitting and capillary condensation in humid air. Using a dipole model of the mica structure, the authors estimate the surface free …
This study examines relationships between chemical structure, antimicrobial activity, and toxicity in organophosphorus and related compounds. Seventy-four compounds synthesized in Kazan research institutes were tested against pathogenic fungi, including Trichophyton, Microsporum, Epidermophyton, and…
This paper studies automorphisms of planar groups acting orientation preservingly on cellular decompositions of the plane with bicompact fundamental domain, a class including fundamental groups of orientable closed surfaces. It gives an algebraic description of such groups and proves that every auto…
The paper studies an approximate solution of the Dirichlet problem for the Laplace equation in the unit multidimensional cube with continuous boundary data, focusing on computation at an interior point. It represents the solution through the normal derivative of the Green function, derives a conveni…
This paper analyzes high-resolution proton NMR spectra of ferrocene and several ferrocene derivatives, with particular attention to the chemical shifts in ethylferrocene and their relation to ring currents and magnetic anisotropy. Experimental spectra measured in carbon disulfide solution are interp…
This paper reports the synthesis of previously unknown beta-diethylaminoethyl S-esters of several trivalent arsenic thio acids and their N-hydrochlorides, undertaken as part of a search for physiologically active organoarsenic compounds. The compounds were prepared by reacting beta-diethylaminoethyl…
The paper studies the large time behavior of solutions to one dimensional boundary value problems for a quasilinear parabolic equation with uniformly positive dependence on the spatial derivative term. Using comparison arguments, auxiliary monotone solutions, compactness, and passage to stationary l…
This paper studies extremal problems for mappings that are quasiconformal on average, defined by bounds on integrals involving the local characteristic, rather than by a uniform quasiconformality constant. Using variational arguments, it derives necessary extremality conditions for disk mappings wit…
This paper analyzes Fermi acceleration in a one-dimensional model of a particle elastically colliding between a fixed wall and a periodically moving wall. From the exact collision map, the authors derive criteria distinguishing stochastic acceleration, an intermediate regime, and a high-velocity adi…
The paper addresses the problem of describing all Hermitian positive extensions to the whole plane of a continuous Hermitian positive function initially given in a horizontal strip. It constructs spectral measures and associated canonical, or channel, positive-definite functions, proving an integral…
This note studies the representability of continuous functions of two variables by finite linear superpositions of the form involving fixed continuous coefficients, fixed continuously differentiable inner functions, and arbitrary one-variable outer functions. Using results of Vitushkin and auxiliary…
