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 addresses uniqueness for the boundary value problems arising in successive approximations to the dynamics and heat exchange of an incompressible fluid whose viscosity varies with temperature. For prescribed viscosity, it proves uniqueness of the velocity field, with pressure determined up …
The paper develops a continuous analogue of Christoffel’s formula for orthogonal polynomials in the setting of one-dimensional Sturm-Liouville systems. It defines transformations of the potential and eigenfunctions by Wronskian-type determinants associated with a polynomial nonnegative on the spectr…
This paper examines how initial geometric imperfections affect the large-deflection stability of a hinged circular cylindrical shell under uniform external pressure. Using a Ritz approximation for the shell deflection that includes circumferential waves, inward bulging, and radial displacement of th…
This paper develops an operational calculus for functions defined on the whole real line under local integrability and two-sided Laplace convergence assumptions. It constructs a quotient space from pairs of right and left Laplace transforms and proves that this space is linearly isomorphic to the or…
This paper examines the downward continuation of gravitational and magnetic potential fields from measurements on the earth’s surface, noting limitations in commonly used mean value and Renvoy formulas and deriving an error term for the latter. It proposes instead to continue suitable analytic funct…
This paper investigates the synthesis of polyorganoalumosiloxanes through metathesis reactions between aluminum chloride and sodium salts of alkylsilanetriols or related organosiloxane salts. The authors argue that an anhydrous alcoholic medium favors salt exchange with precipitation of sodium chlor…
This study examines hydrogen adsorption on high-purity nickel layers condensed in high vacuum, using gas admission and capillary flow methods over temperatures from minus 195 to 100 degrees Celsius and low pressures. The experiments distinguish two components of adsorption: a rapid irreversible upta…
The paper studies uniform approximation of classes of continuous periodic functions, defined by Weyl derivatives and moduli of smoothness, by partial Fourier sums and Fejér sums. It formulates two related problems: determining principal terms of approximation errors uniformly over a function class, …
The paper studies the uniform asymptotic behavior of the maximal deviation between functions in Hölder classes on a finite interval and truncated arithmetic means of their Chebyshev series partial sums. Extending earlier results for ordinary partial sums, it analyzes the quantity obtained by taking …
The paper studies how the algebraic notion of generation can be extended to abstract classes of first order models, focusing on classes in which intersections of submodels yield natural generated submodels. It introduces pseudoaxiomatizable classes and proves that, for such classes with natural gene…
This paper examines how order develops in chain polymers through crystallization and through orientation of molecular chains, arguing that diffraction patterns should not be interpreted as evidence of crystallinity without separating these contributions. Using electron and X-ray diffraction, the aut…
This paper studies completeness and basis properties in the Hilbert space \(L_2\) for systems of functions that are close to known complete systems. It proves a general operator criterion: an invertible bounded linear transformation preserves completeness and basis properties, then applies it to per…
This paper reports a more reliable determination of the electron affinity of sulfur atoms using surface ionization on a heated tungsten filament. Molecular beams of sodium bromide and sodium sulfide were ionized under comparable conditions, and the negative ion currents of bromine and sulfur were me…
This study examines the interaction of zinc chloride with ammonia in aqueous solution across the ammonia concentration range, using isothermal solubility measurements and chemical analysis of liquid and solid phases. The system is shown to pass through two crystallization regions: at lower ammonia c…
This study examines changes in electrical resistance during very small deformation jumps associated with localized slip in cadmium and zinc single crystals under tensile loading. Using high resolution recordings of elongation and resistance, the authors compare measured resistance increments with va…
This study examines the shear strength of adsorption surface layers and bilateral films formed from saponin solutions, motivated by their relevance to foam-cell structure and stability. Using a concentric-ring torsion method with gradual loading, the authors compare deformation and limiting shear st…
This study examines ternary alloys on the TiB2, CrB2, and ZrB2 diboride section, focusing on phase relations and properties relevant to high-temperature, wear-resistant materials. Specimens were prepared by hot pressing, annealed and quenched from selected temperatures, and analyzed by X-ray diffrac…
This note studies when continuous minimizers of regular nonparametric double integrals in the calculus of variations satisfy a local Lipschitz condition, a property needed to obtain higher differentiability and analyticity from known regularity theorems. The paper imposes convexity and asymptotic gr…
The paper investigates a method for preparing acetone cyanohydrin from acetone and sodium cyanide using the sulfur dioxide molecular compound of acetone in the presence of controlled water. Experiments show that the reaction proceeds smoothly below 25°C, with sodium sulfite heptahydrate precipitatin…
This study reexamines the molecular association states of selenium vapor, addressing discrepancies between earlier vapor-density interpretations and equilibrium calculations for elemental selenium. Vapor densities were measured by a static method in quartz apparatus over 550 to 900 degrees Celsius a…
This paper develops a linearized theory of steady wind-driven currents in a stratified deep sea, extending earlier treatments by allowing more general density stratification and wind-stress distributions. Using hydrostatic balance, turbulent diffusion, and Fourier representations of the wind field, …
The paper studies sequences of analytic functions in the unit disk that satisfy the Khinchin and Ostrowski hypotheses, namely a uniform logarithmic integral bound and convergence of angular boundary values on a set of positive measure. Using a previous subsequence extension theorem together with res…
This paper extends the theory of potential-harmonic vector functions from three-dimensional space to n-dimensional space. Using results of V. K. Ivanov, it derives an analogue of the Cauchy formula and applies it to relate the support function of the convex hull of the singularities of a harmonic fu…
This paper develops a mathematical treatment of concentration quenching of fluorescence in viscous solutions, where molecular motion during the excited state can be neglected. Using the Hertz nearest neighbor distribution for a random molecular arrangement and assuming a quenching probability propor…
This study reexamines the polymorphism of anhydrous sodium carbonate, focusing on phase changes as functions of temperature and sample history. Using high-temperature X-ray powder diffraction and differential thermographic analysis on samples subjected to melting, calcination, drying, and storage, i…
The paper studies semi-reducible Riemannian spaces, whose metric can be written as a sum of an independent principal metric and a conformally scaled additional metric. It gives a geometric characterization in terms of two mutually orthogonal foliations, one totally geodesic and the other umbilical w…
This paper extends the invariance principle of radiative transfer from semi-infinite and plane-layer media to a homogeneous medium bounded by an arbitrary convex surface, with applications to light scattering and neutron transport. Using infinitesimal translations and rotations of the medium, the au…
This paper derives a general relation connecting the absorption and luminescence spectra of complex molecules, motivated by earlier observations of mirror symmetry between absorption and emission bands. Assuming rapid thermal equilibration among vibrational sublevels in the excited electronic state …
This note extends the classification of completely irreducible linear representations from the proper Lorentz group to the full Lorentz group. Using the group ring of the full group and the known representations of the associated proper group, it formulates the additional reflection operator conditi…
This study applies pendulum hardness measurements to determine the potential of zero charge of lead dioxide electrodes in sulfuric acid solutions, motivated by the difficulty of direct measurements on solid oxide electrodes in concentrated electrolytes. Lead dioxide deposits prepared by anodic oxida…
This paper studies an automodel problem for diffusion of a vortex layer and heat transfer in a half-space liquid whose viscosity, thermal conductivity, and heat capacity may depend on temperature. The governing momentum and energy equations, including viscous dissipation, are reduced by dimensional …
This paper studies reducibility for a class of two-dimensional linear systems of differential equations with quasiperiodic coefficients, a problem complicated by small divisors and by the behavior of indefinite integrals of almost periodic functions. It introduces corresponding majorant series to es…
This paper investigates routes to trialkylbutadienylsilanes, focusing on the synthesis of 1-trialkylsilylbutadienes from secondary unsaturated alcohols. An attempted direct synthesis from chloroprene and a copper, silicon alloy failed because chloroprene cyclodimerized before reaction, whereas Grign…
This study examines how gaseous media influence the mechanical destruction of fossil coals, with attention to natural structural disturbance, metamorphic degree, and gas type. More than 100 coal samples were crushed in air, carbon dioxide, and methane at elevated pressure, and the resulting dust yie…
This paper analyzes the fine structure of alpha decay in even-even nonspherical heavy nuclei, focusing on excitation of rotational levels in the daughter nucleus. Starting from the Schrödinger equation for the daughter nucleus and emitted alpha particle, it derives a quasiclassical treatment for wea…
This study examines how infrared absorption spectra can be used to determine substituent positions in ferrocene derivatives, especially the presence of an unsubstituted cyclopentadienyl ring. Spectra of ferrocene and numerous mono- and disubstituted derivatives were compared, with particular attenti…
This study examines the electrochemical oxidation of beta-picoline to nicotinic acid, focusing on how electrolyte composition and electrolysis conditions affect product yield. Purified beta-picoline was oxidized in sulfuric acid using primarily a lead dioxide coated lead anode in a diaphragm cell, w…
This paper reports observations of the intense coronal Fe XIII lines at 10747 and 10798 Å using a diffraction spectrograph equipped with an electron-optical converter at the coronal station of the Astrophysical Institute of the Kazakh SSR. The authors describe the instrumental arrangement, calibrati…
Compared with an ordinary electronic hydrogen-like atom, a mesoatom has a number of specific features: the proximity of the meson to the nucleus, the possibility of meson capture by the nucleus, the nuclear interaction of the meson with the nucleons of the nucleus, the simultaneous presence in atomi…
This paper studies obstruction classes for extending section surfaces in a pair of Serre fiber spaces arranged as a double fibration over a simply connected simplicial complex. Given two section surfaces over an r-skeleton that agree on the preceding skeleton, it compares the obstruction cohomology …
This paper derives a hydrostatic equilibrium equation for stationary, spherically symmetric stellar systems without assuming a polytropic equation of state or a molecular gas analogy. Starting from the Boltzmann equation for a phase density depending on radius and spherical velocity components, it s…
Some works on functional methods were discussed in the reviews by Berestetskii and Galanin, Spline and Feinberg. Therefore, we devote comparatively little space to the issues addressed in those articles. In Part I of the review, we consider in detail the foundations of the functional method in quant…
This study examines how the cross sections for photoproduction of neutral pi mesons by bremsstrahlung gamma rays depend on nuclear mass number. Experiments at the 265 MeV synchrotron compared yields from liquid hydrogen, nitrogen, oxygen, carbon, aluminum, iron, copper, cadmium, and lead, using scin…
The paper addresses the problem of deciding when two algebraic fields of degree n, given by irreducible monic equations, are identical. It introduces sequences of lattice points associated with the embeddings of a field and with regions defined by bounded conjugate coordinates, and gives a computati…
This paper examines how atmospheric pressure fields influence compressions and dilations of sea ice in the Arctic Basin under steady and unsteady drift. Using equations for ice motion that include wind stress, water friction, Coriolis effects, and sea-surface slope, it shows that for steady drift th…
This paper reports the preparation and characterization of previously unknown tertiary aromatic oxonium salts, chiefly triphenyloxonium salts, using diazo decomposition of phenyldiazonium fluoroborate in diphenyl oxide followed by anion exchange. The authors describe the fluoroborate and a series of…
In many of its parts, the present article is a review of the works of many physicists who have made a definite contribution to the Sherwood Project. The complete understanding of the fundamental physical principles of a controlled nuclear fusion reaction achieved at present is, to a considerable ext…
