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 note studies constant coefficient differential operators through a notion of partial hypoellipticity for their defining polynomials, measured by growth of imaginary parts of zeros in selected variables. Using the Seidenberg Tarski theorem and a Hörmander type criterion, it gives necessary and s…
This paper addresses a mixed boundary value problem for the Laplace equation describing the stationary temperature field in an unbounded hollow cylinder. The inner surface is insulated, while the outer surface is prescribed a temperature distribution on one half and exchanges heat with the surroundi…
This paper develops a refinement of Kantorovich’s majorant method for operator fixed point equations in complete metric spaces. It introduces the notion of a strict majorant for an operator satisfying only Lipschitz-type assumptions and proves that the scalar equation defined by such a majorant prov…
This paper examines the origin of blue coloration in apatite crystals, a question previously attributed to mineral inclusions, organic matter, or manganese in different oxidation states. Using electron paramagnetic resonance spectra of single-crystal apatites, the authors compare blue specimens with…
This study examines the free-radical addition of alcohols to acrylic acid and methyl acrylate as a route to gamma-lactones, using tert-butyl peroxide as initiator. The authors propose a radical chain mechanism in which hydrogen abstraction from the alcohol is followed by addition to the acrylic subs…
The study examines catalytic dehydration of dihydric alcohols on tricalcium phosphate under comparable flow conditions across a broad temperature range, with parallel tests on likely intermediates such as cyclic ethers and unsaturated alcohols. Dehydration of C4, C5, and C6 alpha, omega glycols is s…
The paper studies Bergman and Cauchy-Szegő integral kernels for Siegel domains of the second kind, with emphasis on affinely homogeneous domains associated with self-adjoint cones. Using the action of linear automorphism groups, the kernels are reduced to functions on the cone, and their normalizati…
This paper examines the analogue of Thomson’s circulation theorem in magnetohydrodynamics, where ordinary velocity circulation is not generally conserved. For a weakly perturbed incompressible fluid with infinite electrical conductivity, the author linearizes the equations of motion and induction us…
This paper studies approximation in the mean by algebraic polynomials for analytic functions in bounded simply connected domains, relating the best \(L_p\) approximation over a domain to integral moduli of continuity and Lipschitz type conditions. It proves direct and inverse theorems for domains wi…
This study examines the preparation, identification, and Raman spectroscopic characterization of isomeric octalins, focusing on cis-Δ-2,3-octalin, Δ-9,10-octalin, and mixtures containing Δ-1,9-octalin. The authors prepared octalin isomers by dehydration of cis-cis-decalol-2 under different condition…
The paper studies vibrations and buckling stability of an orthotropic square plate whose thickness, and hence stiffness, varies stepwise, under longitudinal compressive forces applied along prescribed lines. A combined finite difference and Bubnov-Galerkin procedure is used to derive algebraic equat…
This paper investigates the synthesis of polydimethylsiloxane polymers with a regular distribution of dimethylphosphinic groups along the molecular chain, addressing the irregular group placement typical of polymers obtained by joint hydrolysis of mixed monomers. The authors prepared alpha, omega-di…
This paper examines how the catalytic activity and selectivity of metal catalysts depend on the degree of equilibrium between surface active centers and the crystal lattice. Building on kinetic studies of allylbenzene isomerization and cyclohexene conversion on platinum, palladium, tungsten, and cop…
This note proves a real analogue of the Morozov and Borel conjugacy theorem for linear Lie groups. After developing criteria for triangular real linear groups and a fixed point argument on the flag variety, it introduces decomposable groups admitting a polar decomposition into compact and triangular…
This study examines the formation and structure of p-dimethylaminophenylmercury derivatives of oxyazo compounds and phenylhydrazones of quinones. Reactions of p-dimethylaminophenylmercuric hydroxide with these substrates in methanol yielded crystalline arylmercury compounds in which the arylmercury …
Petrographic and X-ray observations are used to examine how uniform quartz optical-axis orientation develops in tectonites, a problem previously explained mainly by crushing and translation hypotheses without a demonstrated plastic mechanism. Quartz ribbons from veins in porphyroids show elongation …
This paper investigates critical kinetic phenomena in the liquid phase oxidation of butane dissolved in benzene at elevated temperature and pressure, using cobalt stearate to reduce the induction period and monitoring products such as acetic acid, methyl ethyl ketone, and butane hydroperoxide. Exper…
This paper reports the synthesis and characterization of beta-cedrene, a proposed minor component of natural cedrene that had not previously been isolated in individual form. Starting from alpha-cedrene derived from cedrol, the authors prepared cedrenal by selenium dioxide oxidation and converted it…
This study examines how cathodically reduced hydrogen affects the mechanical properties of rolled iron, rolled nickel, and electrodeposited matte and bright nickel. Using cathodic polarization in sulfuric acid with sodium sulfide, hydrogen diffusion measurements, bending tests, vacuum extraction, X-…
This paper reports the preparation and characterization of 2-beta-hydroxyethyl-2-phenylindandione-1,3, a homolog of previously studied 2-substituted indandione anticoagulants. The compound was synthesized by heating 2-phenylindandione-1,3 with excess ethylene chlorohydrin in the presence of potassiu…
This paper derives a general expression for the intensity of Rayleigh light scattering by anisotropy fluctuations in homogeneous isotropic molecular systems, explicitly including correlations between molecular orientations. Using the Lorentz, Lorenz relation with Einstein’s differentiation method, t…
The study examines the interaction of molecular oxygen with the stable free radical DPPH in organic solutions using electron paramagnetic resonance. Measurements of benzene solutions under vacuum, air, and oxygen show that oxygen reversibly broadens the EPR lines and reduces signal intensity, while …
The paper studies the functional capabilities and synthesis of discrete threshold elements whose outputs are determined by the sign of an integer weighted sum of binary inputs. It reformulates realizability of logical functions as separation of vertices of an n-dimensional unit hypercube by a hyperp…
The paper studies convergence of a finite difference scheme for the multidimensional heat conduction equation with variable coefficients under mixed initial and boundary conditions. Using the equivalence theorem for stability and consistency, the authors analyze the step operator through a sequence …
The paper studies the synthesis of oriented Boolean circuits whose chain conductivities are computed as in contact circuits, while circuit conductivities are combined by addition modulo 2, termed R-circuits. It develops a construction based on graphs associated with systems of pairwise orthogonal Bo…
Kadyshevsky proposes a theoretical motivation for discrete space-time by treating the universal length scale associated with Fermi’s weak-interaction constant as analogous to the constants of relativity and quantum mechanics. The paper argues that a minimum interval of order this length could accoun…
Electron paramagnetic resonance was used to study the hyperfine structure of V2+ ions in VCl2 solutions, chiefly in water, at 9598 MHz over 295 to 400 K. At room temperature aqueous solutions showed a single broad line, while heating to 400 K revealed eight partially resolved hyperfine components co…
This note studies transition solutions of nonlinear ordinary differential equations of arbitrary order, motivated by shock wave structure and uniqueness questions for hyperbolic quasilinear systems. For a quasilinear equation with a linear differential operator whose characteristic roots satisfy spe…
This study examines molecular compounds formed between tin tetrachloride and organic sulfides in benzene, focusing on complex composition, donor acceptor bonding, and dipole moments. Using dielectrometric titration, density measurements, cryoscopy, isolation of selected compounds, and sulfur-35 exch…
This study examines the reaction of sulfur with high-pressure polyethylene at 200 to 250 degrees C as a possible route to chemical modification and crosslinking of saturated polymers. By following sulfur uptake, hydrogen sulfide evolution, double-bond formation, gel content, and swelling behavior, t…
This paper develops an approximate theory for the quasiperiodic formation of Liesegang rings during mutual diffusion of two reacting substances that produce an insoluble precipitate. For the simplified case of diffusion in a cylindrical tube, the authors formulate dimensionless parameters, assume in…
This paper examines whether a series of solid delta-keto acids and gamma-bromo-delta-keto acids exist predominantly as open keto acids or as cyclic oxylactone forms. The authors use infrared spectroscopy, with model compounds representing carboxylic acid and open-chain structures, to compare absorpt…
The study examines the condensation of alkyl- and alkoxy-substituted oxazoles with maleimide as a more reactive dienophile than maleic anhydride. A series of reactions in benzene, toluene, or xylene afforded substituted pyridine-3,4-dicarboximides, and in some cases half-amides, with the proposed ep…
This study examines how composition, temperature, and magnetic state affect the Ni K beta5 emission band in manganese, nickel alloys containing about 51 to 92 wt.% nickel. Nickel K spectra were excited by the primary method and recorded with a bent-crystal short-wavelength X-ray spectrograph, allowi…
The study examines the behavior of 3-carboxy-4-carboxymethyl-5-p-chlorophenylazotropolone during boiling with 20 percent sodium hydroxide, as part of an investigation of arylazotropolone transformations. The reaction mixture was separated into several products, including p-chloroaniline and compound…
This note studies a model of a point pulse moving around a circle with velocity depending on the time elapsed since the pulse last passed each point. By unrolling the circle to a line, the authors reduce the one pulse case to an integral equation for this elapsed time function and prove, under diffe…
This paper examines how the average coordination numbers of particles in binary liquid solutions vary with temperature, with particular attention to the resulting change in the amount of solvent not belonging to the nearest environment of solute particles. The authors formulate the relevant differen…
An apparatus is described for rapidly measuring the spectral distribution of photoconductivity and photo-emf in photochemically sensitive semiconductor powders under very weak exposure. Applied to powdered silver bromide and silver chloride, the method shows irreversible exposure-induced changes: th…
This paper develops general thermodynamic inequalities for reacting systems of ideal gases by analyzing the second variations of the thermodynamic potential and free energy under chemical equilibrium constraints. Using stoichiometric balance relations and characteristic matrices, it proves positive …
This paper reports measurements of the kinetic energy distributions of electrons produced by photoionization of benzene methyl derivatives, from toluene through durene, in low pressure vapor. The authors use changes in photoelectron distribution maxima with increasing photon energy to infer excitati…
This study examines post-radiation oxidation of ferrous ions in air-saturated 0.4 M sulfuric acid solutions containing ethyl alcohol after exposure to single high-intensity electron pulses. Using spectrophotometric determination of ferric ion yields, the authors measured the time dependence of oxida…
This note constructs counterexamples concerning nilpotent and periodic sets of automorphisms of groups, especially automorphism groups of abelian groups. Using wreath products, locally finite p-groups, and explicitly defined automorphisms of direct products of cyclic groups, it shows that groups of …
This paper studies conjugate functions, singular Cauchy integrals, and Cauchy type representations using a general linear Phi integral that includes the previously used A and B integrals as examples. It proves that several results formerly derived from special properties of the A integral follow ins…
The paper proposes a spectroscopic method for distinguishing universal and specific solvent effects on solvatochromic absorption spectra by measuring solutions in mixed solvents based on alkanes, especially hexane as a reference medium with predominantly universal interactions. Applied to keto-dihyd…
This note examines the limiting conditions for the existence of shock-free optimal contours in the supersonic part of an axisymmetric jet nozzle. Starting from the variational formulation and the equations on the extremal characteristic, it analyzes how the initial point on a prescribed characterist…
This paper investigates the heat of adsorption of hydrogen on disperse palladium electrodes and selected palladium silver alloys, using electrochemical charging curves to distinguish surface adsorption from hydrogen dissolution in the metal. Measurements were made chiefly in sulfuric acid at several…
This note gives characterizations of paracompact and finally compact, Lindelöf, spaces in terms of mappings subordinate to arbitrary open covers. It proves that a Hausdorff space is paracompact exactly when every open cover admits an associated continuous omega-mapping onto a metric space, and that …
