SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
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This note presents several theorems on embedding subgroups in finite groups under generalized Sylow-type hypotheses. It defines the strong \(N\)-Sylow condition for normalizers of \(\tau\)-subgroups and proves that, when a group contains a subgroup decomposed as a product of a \(\sigma\)-Hall subgro…
This study examines dust generated during blasthole drilling in quartz-rich rocks of the Kizel coal basin using electron microscopy, with samples collected on nitrocellulose membrane filters and prepared as thin films. The observations distinguish large irregular mineral fragments, aggregates of hig…
This paper develops a continuum elastic theory for binary interstitial solid solutions in which impurity atoms may occupy several nonequivalent interstitial positions, with emphasis on a body-centered cubic lattice. The authors formulate the free energy in terms of strain and position-dependent impu…
The paper develops an asymptotic scheme for studying a class of gyroscopic systems described by two coupled second order equations with small perturbing terms. A solution is represented through slowly varying amplitude, phase, and mean coordinates, with periodic correction functions, and conditions …
This paper investigates the reported formation of liquid columns with anomalous properties in narrow glass capillaries, focusing on whether their structure-sensitive viscosity differs from that of ordinary bulk liquids. Using pressure-driven motion of microscopic columns and Poiseuille-type analysis…
This paper reports the synthesis and preliminary characterization of fluorine-containing divinylbenzenes, a class not previously described by the authors as polymerizable analogues of divinylbenzene. The work uses low-temperature lithium halogen exchange on p-bromo-alpha,beta-difluoro-beta-chlorosty…
This paper investigates an anomalous feature of detonation initiation in low-density powdery explosive charges: under some conditions a small-diameter cased charge detonates from a weak initiator while a larger-diameter charge of the same material does not. Experiments with collodion cotton, finely …
The study examines how X-radiation affects the anodic oxidation of ethanol on a smooth rotating platinum microelectrode in acidic solution, focusing on whether radiolysis products alter the electrode process. Polarographic measurements were made during and after irradiation under oxygen-deficient an…
This paper reports an oscillographic study of a third form of electroluminescence in black carborundum crystals containing an electron hole junction, observed under repeated reverse rectangular voltage pulses. Using photomultiplier recordings and single or multiple oscilloscope sweeps, the study com…
This paper examines whether thermodynamic, or phi, potentials can be measured for a dielectric mineral surface and used to study flotation-related adsorption phenomena. Using calcite as a model nonconducting mineral, the authors constructed a thin-section calcite electrode analogous to a glass elect…
The study determines the crystal structure of the zinc chloride complex with acetonitrile, a precursor system relevant to the formation of semiconducting polyacetonitrile from the melt. Single crystals were examined by X-ray diffraction using Cu K alpha radiation, and the orthorhombic structure was …
This paper reports a nuclear quadrupole resonance study of natural stibnite, Sb2S3, focusing on both crystallographically nonequivalent antimony sites in the rhombic lattice. Using a pulsed quadrupole echo technique, the authors measured resonance frequencies for Sb121 and Sb123 at 300 K and 77 K, d…
This paper analyzes the vibrational force fields of the methylbromosilane homologous series, from methyltribromosilane to tetramethylsilane, using measured Raman and infrared spectra and a calculation scheme previously applied to methylchlorosilanes. Potential energy coefficients, vibrational freque…
This paper studies computability questions for abelian groups equipped with constructive numberings, focusing on periodic parts, primary components, stability of numberings, and torsion-free groups of finite or countable rank. It proves that the periodic part of a constructive group is recursively e…
This paper extends the theory of wave operators to pairs of unitary operators and proves their existence when the difference of the operators is trace class. Using the Cayley transform, the authors derive corresponding existence and completeness results for pairs of self-adjoint operators under the …
This paper studies a generalized form of Cayley’s problem on the congruence or collinearity of pencils and bundles determined by tetrahedra, plane point configurations, and conic sections. It proves two projective geometric theorems establishing finite or algebraic loci of corresponding points, incl…
This paper analyzes the energy losses of a charged particle moving along an external magnetic field through an electron plasma, under the assumption that the particle velocity greatly exceeds the thermal velocity of plasma electrons. Using Maxwell’s equations together with electron fluid equations a…
The note studies how strict inequalities between the moduli of consecutive roots of a complex polynomial can be detected during transformations by the Lobachevsky-Graeffe method. It proves a necessary and sufficient criterion for the inequality |z_m| < |z_{m+1}| in terms of limiting ratios of select…
The paper studies lower bounds for the norms of linear operators that map continuous periodic functions to trigonometric polynomials of degree at most n, under approximate reproduction conditions on polynomials. Using averaging identities and the known logarithmic growth of Fourier projection norms,…
This paper reports the synthesis of osmium phthalocyanine by reacting osmium tetroxide with molten phthalonitrile, yielding a dark-blue crystalline compound assigned the composition sulfate osmium phthalocyanine, with osmium reduced to the tetravalent state. The authors interpret the compound as a s…
This note studies two-dimensional dually normalized surfaces of class D2 immersed in four-dimensional Euclidean space. Using the differential equations of such surfaces, it analyzes congruences of normals, determines their focal points, and introduces axes of curvature in the normal plane, with asso…
This paper studies extremal properties of regularly monotone polynomials on the interval [0,1] within subclasses determined by prescribed type numbers and endpoint monotonicity conditions. Using generalized Euler-Bernstein polynomials and associated sequences of generalized Euler-Bernstein numbers d…
The paper presents a complex-variable method for solving the boundary-value problem for the stationary linearized Navier-Stokes system in a plane disk with prescribed velocity on the boundary. By rewriting the system in terms of complex derivatives, the solution is represented through two holomorphi…
This study examines how high pressure affects the rate of Arbuzov reactions, focusing on the rearrangement of triethyl phosphite with ethyl iodide and its reaction with isopropyl iodide. Kinetic experiments at 80 degrees Celsius showed that raising the pressure to 2000 kg per square centimeter incre…
This study examines whether controlled thermal treatment can improve the heat resistance of polymers by first eliminating weak bonds and then allowing radical recombination to restructure the material. Polydimethylsiloxane rubber vulcanizates were heated in hermetically sealed molds at 150 to 350°C,…
This paper studies uniform convergence of variational and approximation processes in domains with zero-angle conical boundary points, extending earlier results that assumed a cone condition. It derives pointwise estimates for functions in Sobolev-type spaces \(W_p^{(l)}\) in terms of integral norms,…
This paper introduces weak isomorphism for measure-preserving automorphisms, defined by mutual realization as homomorphic images, and studies its relation to entropy, spectral invariants, and the class of Kolmogorov automorphisms. It develops a method based on perfect partitions associated with an a…
This paper studies the nomographability of functions of several variables represented implicitly by determinants of admissible Massau matrices. It introduces Gronwall functions and associated functions for such matrices, derives differential identities they must satisfy, and relates them to a given …
This paper studies the asymptotic distribution of primitive integer points on quadratic cones, beginning with the cone defined by x squared plus y squared equals z squared in the region 0 less than z less than or equal to h. Using the standard parametrization of primitive Pythagorean triples, Möbius…
This paper addresses the problem that variational wave functions optimized for energy need not give reliable matrix elements of operators other than the Hamiltonian, such as transition moments or dipole moments. It considers expansions of approximate stationary-state functions by terms involving pow…
This paper interprets the corrected niobium emission band L beta2, previously adjusted for level width and instrumental distortion, in order to relate its spectral form to the character of bonding in solid niobium. The authors divide the band into a short-wavelength component attributed to collectiv…
This paper presents an independent calculation of detonation wave parameters for condensed explosives using equations of state for the principal detonation products derived from shock compressibility data rather than fitted directly to detonation experiments. The authors construct component equation…
This study examines the catalytic hydrogenation of 2-arylideneindandiones-1,3 as a route to 2-aralkylindanon-1-ols-3, compounds related to physiologically active indandione derivatives. The authors show that, under catalyst- and substituent-dependent conditions, four hydrogen atoms can be added to t…
This paper describes synthetic routes to biologically important higher polyenoic fatty acids: linoleic, linolenic, arachidonic, and docosatetraenoic 7,10,13,16 acids. The methods use butyne 2 diol 1,4 and related halogenated or acetylenic starting materials to build polyynic intermediates, followed …
The paper derives an effective Hamiltonian for a uniaxial ferromagnet that includes electron magnetic interactions, with particular attention to spin orbit and spin spin terms. Starting from a many electron energy operator constructed by the correspondence principle, the author rewrites the Hamilton…
This paper investigates the electrochemical behavior of single-crystal gallium arsenide in acidic and alkaline aqueous solutions using polarization curves and photopotential measurements under pulsed illumination. It compares n-type and p-type samples with different carrier concentrations and shows …
This paper examines why solutions containing an initially pure oxidized complex form nevertheless give finite and reproducible potentials at a platinum indicator electrode. The authors argue that dissolution establishes coupled equilibria involving self-reduction and ligand dissociation, generating …
This paper examines the criterion for superconductivity in the Fröhlich model of a metal when the Coulomb interaction between electrons is included. Using one-particle and two-particle Green’s functions, the analysis studies the stability of the normal state through the appearance of pair excitation…
The paper studies approximation of two-variable periodic functions in classes defined by an \(L_p\) bound on a linear combination of Weyl fractional partial derivatives of orders \(r_1\) and \(r_2\). For the cases \(\theta=0\) and \(\theta=\pi\), it derives asymptotic formulas for the maximal deviat…
The study examines the fusibility of the potassium hydroxide hydrate and potassium borohydride system as a possible high-temperature medium for borohydride reductions. Potassium borohydride and anhydrous potassium hydroxide hydrate were prepared, handled under dry nitrogen, and investigated by therm…
This paper addresses the calculation of the electrophoretic velocity of an ion in a strong electrolyte under an external electric field, emphasizing limitations of earlier phenomenological treatments. Using Bogolyubov’s statistical method of distribution functions, the author models charged particle…
The paper studies constant coefficient hypoelliptic equations in the whole real space whose characteristic polynomial has real zeros forming smooth closed hypersurfaces with nonzero total curvature. A fundamental solution is constructed by an integral over a contour analogous to Hörmander’s ladder, …
This note studies topological analogues of FC-groups, especially groups whose conjugacy classes, or closures of conjugacy classes, are bicompact, with emphasis on locally bicompact groups. Using a lemma on bounded conjugation orbits of linear transformations, it proves that connected semisimple Lie …
This study compares angular, energy, and mass distributions of fragments from fission of uranium 238 induced by 14 MeV neutrons and by continuous spectrum photons with maximum energy 35 MeV. Using a double pulse gridded ionization chamber and simultaneous recording of fragment energy and angle depen…
This paper addresses the disagreement between previously reported low and high values of the light scattering constant of benzene. The authors propose a comparative method designed to avoid refraction corrections by matching benzene with dilute polychlorostyrene solutions of nearly identical refract…
This paper reports the observation of dielectric permittivity dispersion in the critical region of demixing for binary liquid systems, with particular attention to nitrobenzene in hexane near the critical concentration. Measurements of temperature and frequency dependences at low audio frequencies s…
The paper presents a method for accelerating the study of composition and property relationships in systems for which film preparation by evaporation is difficult, such as oxide, silicate, and glass compositions. The method forms massive specimens with a prescribed concentration gradient by preparin…
This paper develops direct and inverse embedding theorems for a broad class of anisotropic fractional function spaces defined by norms involving directional differences, partial derivatives, mixed Lebesgue norms, and functionals of maximization type. It introduces the relevant class of functionals, …
The paper derives equations of motion for the basic body in a system composed of rigid bodies of variable composition connected in open kinematic chains, where mass loss occurs through separation of particles from instantaneous outer surfaces. Using matrix notation for masses, inertia tensors, relat…
