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 study examines phase relations in the potassium fluoride, zirconium fluoride system, for which earlier fusibility data did not characterize solid state transformations. Using differential thermal analysis and X-ray phase analysis, the authors constructed a phase diagram up to 75 percent zirconiu…
This note studies how solutions of mixed boundary value problems for linear parabolic equations in one space variable depend on variations of the moving lateral boundary curves. Using Gevrey’s heat potential method, it establishes estimates for simple and double layer heat potentials under Hölder an…
This study examines the gas phase reaction of silicon hydrides with organic halides at high temperature, focusing on the material balance and mechanism of formation of organohalosilanes and reduction products. Experiments with chlorobenzene, chlorotoluenes, and other organohalides show that the proc…
This paper studies multipoint finite difference methods for the Cauchy problem for first order ordinary differential equations, allowing implicit and explicit schemes with arbitrary numbers of points. It gives necessary and sufficient conditions for unconditional convergence under continuity and Lip…
This note studies when the inverse limit of an inverse spectrum of exact sequences of discrete Abelian groups remains exact, rather than only semi-exact. For spectra indexed by a directed set with a countable cofinal subset, it proves sufficient epimorphism conditions on the bonding homomorphisms, f…
This study examines how dissolved azo dye templates influence the development of selective adsorption properties in silica gels, with particular attention to whether nonextractable template dye is responsible for specificity. Silica gels were prepared with methyl orange, ethyl orange, propyl orange,…
This paper establishes an analogy between plane potential flow of an ideal incompressible fluid and the plane trajectory problem for a material point in a conservative field at fixed energy. Starting from Jacobi’s least action principle, it derives a trajectory equation in terms of the logarithm of …
The paper studies a boundary value problem for piecewise analytic functions on a Lyapunov contour, involving values at a point and at its image under an orientation reversing involution, as a generalization of the Carleman problem. Under Hölder and compatibility assumptions on the coefficients, the …
The paper studies the mathematical problem of inelastic scattering represented by an infinite system of coupled Helmholtz equations in three-dimensional space, with outgoing radiation conditions for elastic and inelastic scattered waves. It reformulates the system as an operator equation in the Hilb…
This note studies distortion estimates for quasiconformal mappings of the unit disk and for Ahlfors classes of quasiconformal mappings in the mean. Using a recent improved bound for the Teichmüller function, it refines Lavrent’ev’s modulus distortion theorem to a sharp two-sided estimate for distanc…
The paper studies the asymptotic complexity of representing Boolean functions by formulas over bases that include nontrivial linear formulas of zero weight, together with conjunction and, when needed, negation of unit weight. Using Post’s classification of closed classes of linear Boolean functions,…
This study examines the kinetics of inner-sphere substitution reactions of potassium triacidomonoammineplatinates of divalent platinum with pyridine in aqueous solution. Rate constants were determined at several reactant concentrations and for freshly prepared and aged solutions, with accompanying p…
This paper investigates the reaction of oxytrisindandione and related spiro-dihydropyridine derivatives as routes to o-(2,3(CO),6,5(CO)-dibenzoylenisonicotinoyl)benzoic acid and its derivatives. The authors show that treatment of oxytrisindandione with ammonium acetate in glacial acetic acid, or oxi…
This paper examines how fluctuations in radar echoes can be used, alongside mean radar reflectivity, to infer the microstructure of precipitation. It derives relationships between the fluctuation spectrum of a detected radio echo, the velocity distribution of falling drops, and assumed drop size dis…
This note studies the emergence of conditionally periodic motion on a torus from a degenerate family of periodic motions, for analytic differential equations of the form dy/dx equals a small perturbation. Arnold treats the case in which the unperturbed rotation number is zero and proves that, under …
This paper reports the synthesis of nitrate esters of several C-substituted carbohydrates, motivated by the pharmacological interest of nitrate esters of polyhydroxy compounds as vasodilators. The authors applied nitration with fuming nitric acid in acetic anhydride to glucopyranosyl-, galactopyrano…
This paper develops a thermodynamic model for formation of a double electric layer at the contact boundary of amorphous bodies or polymers whose surfaces contain donor and acceptor groups. It treats electron transfer between donor and acceptor centers as a surface reaction whose free energy depends …
This note proves an identity expressing the L2 norm squared of a function on the unit interval as an infinite sum of squares of L1 means generated by a simple iterative procedure. Starting with a function y, the authors define successive functions by subtracting from the absolute value of the preced…
The paper investigates the decay of a previously observed approximately two-hour lutetium activity produced by irradiating tantalum with 660 MeV protons. Using a calibrated double-focusing beta spectrometer, the authors measure internal conversion lines and identify an 87.54 keV transition in the da…
This paper develops a mechanism for the inhibition of radiolysis in organic systems by small concentrations of impurities, treating inhibition as direct transfer of electronic excitation from an irradiated molecule, ion, or radical to an inhibitor molecule. Using a dipole approximation and a quantum…
This study examines the surface state of iron electrodes by calculating capacitance from potential decay after interruption of cathodic polarization current. Using loop and electronic oscillographs, the authors measured decay curves for iron in alkaline and acidic solutions, including electrodes poi…
This paper formulates an algebraic-geometric analogue of Kodaira’s projective embedding theorem for nonsingular complete abstract algebraic varieties over an algebraically closed field of characteristic zero. It proves that if a divisor has positive top self-intersection and positive intersection wi…
This note studies when continuous functions on a domain in Euclidean space can be uniformly approximated by finite sums of one variable continuous functions evaluated along prescribed linear directions, interpreted as superpositions of plane waves. The authors formulate directions as points in proje…
The study examines the thermal condensation of dichlorosilane with chlorobenzene and shows that the reaction is more complex than the simple formation of phenyldichlorosilane. Experiments in a heated quartz tube, followed by fractional distillation and product analysis, were used to determine how te…
This study examines how water and methanol mixtures affect the acid properties of a carboxylic cation exchanger obtained by saponification of a methyl methacrylate and divinylbenzene copolymer. Potentiometric titration was used, including a rapid method based on partially neutralized resin samples t…
This paper investigates the metastable solubility and diffusion characteristics of tricalcium silicate and beta-dicalcium silicate in water, parameters considered important for understanding cement stone hardening. The authors determine solubility by several independent approaches, including rotatin…
This paper reports radiocarbon dating of Quaternary peat, wood, gyttja, and related deposits from the European part of the USSR using a scintillation method based on synthesized benzene or ethylbenzene. The authors compare the obtained ages with stratigraphic and spore-pollen interpretations for Hol…
The paper studies approximation in Sobolev and Slobodetskii type spaces on domains of Euclidean space, focusing on when functions in the spaces defined by highest order generalized derivatives can be approximated in the corresponding norms by functions smooth in the whole space. It introduces geomet…
The paper studies the type problem for Riemann surfaces associated with gluing two half-disks, reformulated in terms of gluing two half-strips by a prescribed boundary homeomorphism. It constructs a class of simply connected Riemann surfaces with first-order algebraic branch points, decomposed into …
Raman scattering and infrared absorption spectra were used to investigate intermolecular interaction in the tetrahydrofuran and hydrogen chloride system over varying temperatures and concentrations. Spectral changes in the C-O-C stretching region, including new low-frequency components and a broad H…
This paper addresses the difficulty of interpreting electron paramagnetic resonance spectra of oxidized alkyl-substituted phenols when primary and secondary stable radicals are present simultaneously. Using paper chromatography, especially elution with 96 percent ethanol, the authors separated radic…
This paper studies higher order averaging for singularly perturbed systems with slow variables and fast degenerate motion whose trajectories admit uniform mean values. It formulates a second approximation averaged system, constructed through characteristic equations and auxiliary correction function…
This paper derives relations for the Faradaic impedance of a reversible electrode process following a catalytic hydrogen evolution scheme in which a catalyst undergoes protolytic interconversion, reversible electrochemical discharge, and bimolecular regeneration with hydrogen formation. Using diffus…
This paper studies regularization of closed and bounded linear operators between Banach spaces, focusing on Phi and Phi-plus operators with finite-dimensional kernels and closed ranges. It proves that the difference of two regularizers of a Phi-operator is completely continuous, derives descriptions…
This paper develops a theory of modules over a \(K\)-space with unit, treating the \(K\)-space as a generalized scalar ring and using suitable notions of quotient, convergence, norm, and scalar product. It defines generalized \(M_Z\)-modules, normed \(B_Z\)-modules, and inner product \(H_Z\)-modules…
The paper develops a representation of tensor functions by extending the Pfaffian form representation of vector fields. Using canonical forms of Pfaffian forms, it derives general formulas for vector components in n-dimensional space and applies them to tensor functions viewed as vectors in the spac…
The paper reports thermodynamic measurements of liquid silver, bismuth alloys at 1000 K using electromotive forces of galvanic cells with an iodide molten electrolyte over 650 to 850 °C and varying alloy compositions. From the temperature and composition dependence of the cell potentials, the author…
This note studies the regularity of convex surfaces in Lobachevsky space determined by the regularity of their intrinsic metric, without imposing the previously used assumption of positive Gaussian curvature. It states that if a convex surface has a regular metric and Gaussian curvature greater than…
This paper investigates new routes to nitroallyl, an intermediate for polynitro compound synthesis, and examines its subsequent chemical transformations. The authors report that allyl bromide and allyl iodide react with nitrogen tetroxide in ether at low temperature to give nitroallyl in useful yiel…
This paper reexamines the theory of thermal slip of a gas along a solid surface under a tangential temperature gradient, questioning the numerical coefficient in Maxwell’s classical formula and its use in thermophoresis of aerosol particles. Using Onsager’s reciprocal relations, the authors relate t…
This paper reports a quantitative study of the anisotropic absorption of the 6125 Å exciton line in cuprous oxide at 77 K, associated with excitation of the ground exciton state. Absorption coefficients were measured for light propagation along the fourth-order and third-order symmetry axes of singl…
This paper reports the first synthesis of organoantimony derivatives of acrylic and methacrylic acids, specifically diphenylstibine acrylate and diphenylstibine methacrylate. The compounds were prepared by reacting diphenylstibine oxide with acrylic or methacrylic acid in methanol, followed by isola…
This note studies integrals of the modulus of convolutions of even trigonometric polynomials with functions of bounded variation, relating them to diagonal Fourier-Stieltjes coefficients of the integrating functions. For polynomial coefficients forming a convex or concave sequence, and for variation…
Deuteronitroform was prepared as a labeled analogue of nitroform for use in studying addition reactions and tautomeric transformations of acinitroalkanes. The synthesis involved treatment of the potassium salt of trinitromethane suspended in dry methylene chloride with dry deuterium chloride, giving…
This note examines how far Hilbert’s nonexistence theorem for complete regular surfaces of constant negative curvature in Euclidean three-space depends on the constancy of curvature. After recalling a strengthened strip form of Hilbert’s theorem, it shows that negative curvature bounded away from ze…
This paper examines whether radar echoes from clouds can be used to infer cloud liquid water content and boundaries. Using simultaneous radar and aircraft observations conducted in 1959 and 1960, the authors compare measured radar reflectivity with direct microphysical measurements and find no stabl…
The study examines arylalkylation of anisole with styrene and alpha-methylstyrene using boron fluoride phosphoric acid and boron fluoride ethyl etherate catalysts, a reaction type previously little investigated for alkyl phenyl ethers. Experiments varied catalyst, reactant ratios, temperature, and t…
The paper investigates the kinetics of carbon surface growth during thermal decomposition of methane in hydrogen at 1400 to 1700°C, a range where earlier measurements were suspected to be affected by diffusion. Carbon film growth was measured on graphite rods in a high-temperature furnace at methane…
This study examines the reactions of triethylsilane with primary, secondary, and tertiary acetylenic gamma glycols in the presence of platinum on carbon and chloroplatinic acid catalysts. The authors compare reaction pathways and products, showing that catalyst type and glycol substitution influence…
The paper studies the structure of Galois groups associated with local fields, focusing first on regular finite extensions of the p-adic numbers and on maximal normal p-extensions over a finite regular extension without higher ramification. It gives an explicit presentation of the resulting Galois g…
