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 studies expansions in eigenfunctions and associated functions for ordinary differential operators on a finite interval with irregular split boundary conditions. It establishes asymptotic formulas for the eigenvalues, including eventual simplicity, and derives necessary conditions for unifo…
This paper investigates the structure of a perturbed toroidal magnetic field in which magnetic surfaces are destroyed, extending earlier numerical studies of a resonantly perturbed three-turn helical field. By computing many field lines for several perturbation amplitudes, the authors analyze radial…
The paper examines whether free-radical polymerization can occur in substituted triazine rings whose polymerization enthalpy estimated from bond energies is near zero, if precipitation and strong intermolecular interactions lower the free energy of the polymer. Substituted triazines and trifluoroace…
This paper reformulates the unitarity condition for two-body scattering with general many-particle intermediate states so that the dependence on the transferred momentum, or scattering angle variable, is isolated explicitly under the phase-space integral. Using chain sets of kinematic variables, Gra…
This paper studies optimal one-dimensional quadrature formulas on an equidistant partition for Sobolev spaces of functions with square-integrable derivatives, allowing values of derivatives up to a prescribed order at the mesh points. It formulates the quadrature error as a variational problem, iden…
This paper analyzes the linearized problem of a thin cruciform wing of finite span undergoing arbitrary harmonic oscillations in a supersonic compressible flow. Using Hadamard’s method and symmetry with fictitious reflected panels, it derives a basic integral formula for the reduced disturbance pote…
The paper develops a linear elastic theory for small deformations, stability, and vibrations of asymmetric three-layer plates with a rigid core. Assuming Kirchhoff-Love behavior in the two load-bearing layers, transverse incompressibility and linear tangential displacements in the transversely isotr…
This note develops an algebra of positive matrices in which ordinary addition and multiplication are replaced by elementwise maximization or minimization and by corresponding max-product or min-product matrix multiplication. It records the basic algebraic laws of these operations, including distribu…
This paper examines the expected maximum concentration of Schottky vacancies in simple substances near the melting point and its relation to atomization energy and saturated vapor pressure. Using thermodynamic estimates, literature data, and a model in which vacancy formation energy is proportional …
The study examines the melting diagram of the ternary system Cl2O7, SO3, and H2O in the high-acid region near the composition of perchloric acid, with the aim of assessing whether anhydrous perchloric acid can appear as an individual crystallizing phase in the presence of dehydrating sulfur trioxide…
The paper studies upper bounds for the number of points in finite subsets of powers of the ring of integers of an algebraic number field at which a polynomial value generates an ideal with at most a prescribed number of prime ideal factors. It introduces regular systems of sets and strongly primitiv…
This paper reexamines the nickel-rich region of the Ni-C phase diagram after viscosity and electrical-conductivity measurements of liquid alloys suggested inconsistencies with the accepted diagram. Alloys prepared from electrolytic nickel and high-purity graphite were studied by contactless electric…
This note studies when Frobenius’ theorem on complements to isolated subgroups extends from finite groups to infinite groups. It gives sufficient conditions: if an infinite group has a suitably complete locally nilpotent normal subgroup with locally finite quotient, then every isolated subgroup has …
This study examines how composition affects the thermomechanical, mechanical, and optical properties of polymers and copolymers formed from methyl methacrylate, styrene, and benzyl methacrylate for potential use in photoelastic materials. Samples synthesized by induced polymerization were characteri…
This study examines how alkali metals, organoalkali compounds, solvent polarity, additives, and temperature affect the microstructure of polybutadiene formed by butadiene polymerization. Using vacuum polymerization and infrared analysis of 1,2, 1,4-cis, and 1,4-trans units, the authors compare lithi…
The paper establishes quantitative bounds for the diameter and width of a convex hypersurface in Euclidean space whose Gaussian curvature is close to one. It first proves comparison lemmas for surfaces of revolution, then uses Minkowski and Steiner symmetrization, volume inequalities, and curvature …
This note studies when crossed products of groups with a division ring can be embedded in division rings, extending the Mal’cev-Neumann embedding theorem and a result of Ikeda on crossed products of certain groups. It proves auxiliary results on automorphisms of quotient division rings for invariant…
This note proves that if every left cyclic module over an associative ring with identity is injective, then the ring is semisimple in the classical sense. The argument uses homological algebra and the theory of regular and left continuous rings, developing a sequence of lemmas on cyclic submodules, …
This paper reports the synthesis of a hydronaphthacene oxytriketone structurally related to the antibiotic demethyltetracycline, as part of studies on tetracycline synthesis and structure activity relationships. The route proceeds from trans-benzoylacrylic acid and butadiene through cyclohexane and …
This paper studies the size and depth of Boolean circuits for multiplying two n digit binary integers, reducing the problem to the construction of circuits for squaring. It presents an inductive construction based on representing the input as a polynomial in a power of two, evaluating the polynomial…
This study examines why static and thermographic methods give markedly different dissociation pressures and temperatures for cadmium carbonate. Using thermographic measurements at varied pressures, the authors tested the effects of crystallochemically related additives, including sodium chloride, si…
This paper examines plastic deformation as a possible cause of sharp internal boundaries in a self-gravitating planetary body, in addition to chemical or phase discontinuities. Starting from the classical stress distribution in a stationary elastic sphere of constant density, the authors compare inc…
The paper examines the stability of uniform rotation of a vertical elastic, weightless shaft carrying a centrally mounted thin disk whose transverse principal moments of inertia are slightly unequal. Linearized equations for small translational and angular perturbations are derived using momentum an…
The study examines how the symmetry and ligand composition of Ti3+ aquo and fluoro complexes in aqueous solution affect proton nuclear relaxation rates. Using spin echo nuclear magnetic resonance measurements and room temperature electron paramagnetic resonance, the authors measured longitudinal and…
This study examines the cationic activity of components of the cobalt catalytic system used for stereospecific butadiene polymerization and investigates the end groups of the resulting polybutadiene chains. Using vinyl butyl ether polymerization, the authors show that cobalt chloride, including its …
This paper develops a theoretical treatment of kinetic and catalytic currents at a stationary hanging drop electrode, emphasizing how spherical electrode curvature modifies results known for plane electrodes. The authors formulate diffusion and bulk reaction equations for reversible chemical transfo…
This paper examines the mechanism of anodic activation and dissolution of passive iron in acidic perchlorate media, with comparison to sulfuric and hydrochloric acid solutions. Using potentiostatic and chronoamperometric observations together with colorimetric determination of dissolved iron valence…
This paper studies a one-phase Stefan problem for a quasilinear heat equation describing heating and melting of a rod with removal of molten material under prescribed boundary heat fluxes. It formulates an implicit finite-difference scheme in which the moving boundary advances by one spatial mesh in…
This note studies the existence of homeomorphic solutions for a class of first order elliptic systems in four dimensional space whose coefficient matrices have quaternionic form. The system is reduced to a special equation involving quaternionic Cauchy Riemann type operators, and solutions are sough…
This paper studies bases in Banach spaces of continuous functions using Grinblum’s index, which measures the inclination between initial and subsequent spans of a sequence. It proves that certain differentiable, in particular analytic, systems in the real space of continuous functions on an interval…
This paper examines the coagulating action of electrolytes on aqueous montmorillonite dispersions using structural and mechanical criteria rather than primarily electrokinetic measures. Fifteen percent suspensions of Gorb bentonite, identified mainly as montmorillonite with a kaolinite-like admixtur…
The paper studies the Prandtl boundary-layer equations for an incompressible fluid in a half-strip with prescribed initial velocity, wall suction or injection, and matching to an outer flow satisfying Bernoulli’s law. Using the von Mises transformation, the system is reduced to a degenerate paraboli…
The paper investigates the previously undescribed binary BeF2, ZrF4 system as part of a broader study of fluoride phase relations. Alloys prepared from ammonium double fluorides were examined by thermal analysis and X-ray phase analysis, with precautions against zirconium fluoride sublimation and wi…
This study examines radiation damage in electron-microscopic specimens under electron irradiation, focusing on how gas composition, pressure, current density, accelerating voltage, and irradiation time affect structural degradation. Using low-pressure polyethylene single crystals in a gas microchamb…
This paper reports electrophilic sulfonation of phosphorus ylides with sulfur trioxide, preferably as the dioxane sulfur trioxide complex in dichloroethane, to form crystalline phosphonium sulfobetaines. Several ylides, including diphenylmethylene, carbomethoxymethylene, benzoylmethylene, and acetyl…
This paper examines tensor quantities, Ricci rotation coefficients, and connection coefficients in orthonormal frames under local Lorentz transformations using the method of compensating fields. It derives the finite and infinitesimal transformation behavior of the Ricci coefficients and shows that …
This paper examines long-wavelength excitation of banded edge luminescence in GaP crystals at low temperature, extending earlier observations that red light can induce green edge emission. Spectroscopic comparisons of excitation by blue and red light show that red excitation selectively enhances lon…
The paper studies the first boundary-value problem for elliptic quasilinear equations and systems of order 2m whose principal coefficients may grow faster than any power in the highest derivatives. It formulates structural, monotonicity, and subordination conditions under which solutions are sought …
This note extends the rotation, or topological degree, of vector fields to completely continuous and weakly continuous operators acting on invariant subsets of locally convex and Banach spaces. Using Schauder finite-dimensional approximations, it establishes homotopy invariance, additivity, and fixe…
This study examines the physical state and molecular mobility of polymers in natural rubber, butadiene-styrene, and polychloroprene latex globules using proton nuclear magnetic resonance at room temperature. Proton resonance line widths and chemical shifts were measured for latexes, dried films, lat…
This paper studies Psi-stability in cooperative games in reduced characteristic-function form, using linear programming criteria for systems of coalition inequalities. It formulates a covering condition, in terms of reduced weighted coverings of the player set, that is necessary and sufficient for t…
This study examines the relationship between catalytic activity and electron paramagnetic resonance spectra in molybdenum oxide catalysts for ethylene polymerization. Molybdenum oxide was deposited on or coprecipitated with several supports, reduced in hydrogen, tested for polymerization activity un…
This study examines how swelling of ion-exchange membranes governs their permeability to vapors of light and heavy water. Using a sulfonated polystyrene cation-exchange membrane in different salt forms, the authors measured permeability manometrically for water mixtures with varying deuterium oxide …
This paper reports the synthesis of o-fluoro-omega-nitrostyrene and an investigation of its polymerization as a nitroolefin monomer for high-molecular compounds. The monomer was prepared by condensation of o-fluorobenzaldehyde with nitromethane in the presence of sodium hydroxide, and polymerization…
The paper treats electromagnetic radiation from an infinite periodic system of semi-infinite thin metallic plates, focusing on the practically important case where only one plane waveguide is excited by the fundamental magnetic wave. Using a periodic representation and the Wiener-Hopf method, the fi…
This paper examines how fluoride ions affect the anodic dissolution and cathodic deposition processes of indium amalgam under conditions of complex formation. Using polarization measurements combined with radiochemical determination of reaction rates, the authors compare fluoride-containing solution…
The paper studies general boundary value problems for a linear parabolic equation of order 2p in one spatial variable on a plane domain bounded by sufficiently smooth moving curves. It formulates compatibility and nondegeneracy conditions for boundary operators, including conditions involving deriva…
This paper describes a stepwise method for preparing linear organotin compounds containing stannoxane bonds and reactive acetate terminal groups. Controlled hydrolysis of dibutyltin diacetate and subsequent higher homologs in the presence of diazomethane is used to form discrete members of the serie…
The study examines the addition of trialkyl phosphites to acetylenecarboxylic acids containing the conjugated system C≡C, C=O, focusing on propiolic and tetrolic acids. Reactions with several phosphites produced colorless, water-soluble liquids that gave tests for unsaturation, and infrared and anal…
This paper analyzes the stability of stationary states in electrolytic systems where electrode discharge is coupled to diffusion in a near-electrode layer, with attention to nonstationary and periodic behavior arising after loss of stability. It reformulates the stationary-state condition through a …
