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 paper studies a special edge-vertex graph function defined by a deletion and two contraction-type operations on an edge, with values in a ring generated by parameters subject to relations ensuring uniqueness and invariance under addition or removal of isolated vertices. It derives a system of a…
This paper generalizes the Riemann solution for plane finite-amplitude sound waves to media moving with constant velocity and examines propagation with and against the flow. It derives nonlinear expressions for the wave field under three configurations: a stationary source and observer in a wind, a …
This paper studies finite groups classified by the number of conjugacy classes of noninvariant subgroups whose orders are divisible by at least one prime from a fixed set of prime divisors. It introduces the notions of pi-rank and pi-type for such groups and examines how these numerical invariants c…
A general synthetic route is described for substituted pyrrolidinecarboxylic acids, motivated by the need for proline homologues and analogues for biological studies. The method proceeds from furan chalcones through addition of hydrocyanic acid or nitromethane, conversion to substituted furylpyrroli…
This paper reports the synthesis and characterization of complex fluorides of hexavalent rhenium, a class previously not isolated because of hydrolysis and disproportionation in aqueous media. Potassium octafluororhenate was prepared by direct reaction of liquid rhenium hexafluoride with potassium f…
This study uses photoionization measurements to determine first adiabatic ionization potentials for esters, halogenated ester derivatives, simple ethers, several ketones, and volatile metal carbonyls in the gas phase. The results show that ester ionization potentials exceed those of corresponding ke…
This paper examines the kinetics and mechanism of alkali metal amalgam decomposition in phosphate buffer solutions, focusing on potassium amalgams over approximately pH 7 to 10. Using purified solutions and amalgams, decomposition rates and polarization behavior were measured as functions of amalgam…
This note develops a general method for deriving structural characterizations of axiomatizable classes of models, extending work of Tarski, Łoś, Chang, and Taimanov. The method is formulated through closure operations and inscribed families of defining classes, then applied to classes such as UEC an…
The paper addresses practical error estimation for grid method solutions of the interior Dirichlet problem for the Laplace and Poisson equations, where earlier estimates involved quantities depending on the unknown exact solution. It derives bounds for the difference between the exact solution and a…
The paper gives a formal definition of the Bogolyubov-Parasyuk R-operation intended for practical use in perturbative quantum field theory, with spinor electrodynamics used as the illustrative setting. It defines a class of graphs built from elementary vertices, introduces a commutative and associat…
The paper addresses the determination of possible total angular momenta and their multiplicities for systems of identical particles in a shell configuration with fixed single-particle angular momentum, allowing for arbitrary permutation symmetry described by Young diagrams. It derives character form…
This note studies spectral relations between the Hermitian components of Volterra operators, especially those obtained by perturbing self-adjoint or nonnegative operators. Using lower estimates for associated entire functions and consequences for the distribution of their zeros, it derives Schatten …
This study examines whether transition-metal carbides, borides, and silicides follow the known association between electronic conductivity and catalytic activity in oxidation-reduction reactions. Cyclohexane dehydrogenation to benzene was used as a model reaction, tested mainly by a pulse chromatogr…
The paper presents a method for deriving Hermite interpolation formulas by passing from Lagrange interpolation to the limit as interpolation nodes coalesce, thereby obtaining coefficients for multiple nodes and derivative data. It then uses the Hermite form on a finite interval to construct quadratu…
This paper investigates the fine structure of the titanium K absorption edge in complex solid solutions of the TiC, TiN system, with the aim of relating X-ray spectral changes to local atomic environment and electronic structure. Titanium carbide, titanium nitride, and five intermediate carbonitride…
This paper investigates molecular diffusion in binary gas systems near a critical point, using iodine dissolved in compressed carbon dioxide as a visually observable system. The authors developed a high pressure ampoule method, adapted from colored solution diffusion measurements, to track the movem…
This study examines Rayleigh scattering of monochromatic unpolarized light in acetone solutions in carbon tetrachloride at 0, 25, and 40 degrees Celsius, motivated by the question of whether strongly polar acetone molecules exhibit orientational ordering in such nonideal mixtures. Measurements of sc…
The paper studies variability regions for finite systems of Laurent coefficients of functions represented in finitely connected circular domains as sums of Stieltjes integrals. It establishes a general convexity theorem identifying such regions with convex hulls of geometric sums of parameter arcs, …
This paper examines how temperature affects the angular correlation of gamma quanta produced by positron-electron annihilation in a bismuth single crystal, with attention to anisotropy in the basal plane. Using a positron source and bismuth crystal mounted in a Dewar on a goniometric table, angular-…
Water vapor sorption was compared for the sulfonic acid cation exchanger KU-2 and the carboxylic cation exchanger KFU in several ionic forms and degrees of neutralization. Isotherms at 25 °C were measured with a vacuum apparatus using McBain quartz spring balances, after careful dehydration of small…
This note generalizes the structural formula for convex univalent functions from the disk and annulus to a multiply connected circular domain bounded by one exterior and finitely many interior circles. It introduces an auxiliary class of regular functions represented by boundary measures and constru…
This study uses dipole moment measurements to examine the configurations and electron distribution of a series of unsaturated nitro compounds, including beta-nitrostyrenes and bis(beta-nitrovinyl)benzenes. Moments measured in benzene at 25°C are compared with vector sums calculated for possible cis,…
This study examines photocatalytic oxygen evolution in artificial oxidation, reduction systems as a possible analogue of individual photosynthetic stages. Using Warburg manometry under ultraviolet illumination, the authors tested aqueous systems containing zinc oxide or titanium dioxide with potassi…
This study extends sulfonation reactions to acyl and carbomethoxy derivatives of ferrocene and examines how substituents on one or both cyclopentadienyl rings affect reactivity. Using sulfur trioxide or dioxane sulfur trioxide in dichloroethane, the authors prepared and characterized several sulfoni…
This paper describes a catalytic route to 2-n-propyl-4-alkyltetrahydrofurans from furfural-derived intermediates, extending a method for preparing tetrahydrofuran homologs from furfural and aliphatic carbonyl compounds. Furfural was condensed with propionic, butyric, and isovaleric aldehydes to give…
This paper develops a nomographic representation for equations of the form f1 plus f2 plus f3 plus f4 plus f5 plus f6 equals zero using an oriented transparent overlay shaped as a ruler. The method transforms the six-variable relation by introducing auxiliary variables, arbitrary functions, and scal…
This study examines the optical absorption of polycrystalline cadmium sulfide layers produced by evaporating CdS powder onto insulating substrates in vacuum, argon, and hydrogen sulfide, with substrate temperatures ranging from room temperature to 550 degrees Celsius. More than 600 films were prepar…
This study examines the chemical modification of silica gel and nonporous Aerosil with surface-bound sulfonated phenylsilyl groups in order to impart acidic ion-exchange and selective adsorption properties. The materials were phenylated with diphenyldichlorosilane, sulfonated with sulfuric acid, and…
This note studies random walks on finitely generated groups, focusing on Martin boundaries and positive harmonic functions. It proves that for an irreducible Markov chain invariant under a transitive nilpotent group of transformations, every bounded harmonic function is constant, while showing by ex…
This note gives sufficient conditions under which solutions of a multidimensional singular integral equation in Euclidean space satisfy a Lipschitz condition after stereographic compactification. Assuming nonvanishing of the symbol, Sobolev type regularity and continuity conditions on the coefficien…
This paper formulates relativistic hydrodynamic equations for a moving radiating medium within special relativity, addressing inconsistencies that arise when radiation quantities are not distinguished between laboratory and comoving frames. It derives Lorentz transformation laws for radiation intens…
This study examines the crystal chemistry of scandium chalcogenides, focusing on X-ray powder diffraction analysis of Sc2O3, Sc2S3, and the equiatomic telluride ScTe prepared from purified starting materials. Scandium oxide is indexed as a body-centered cubic Mn2O3-type phase with a lattice paramete…
This note studies bounded generalized solutions of multidimensional quasilinear elliptic equations in divergence form under natural growth, coercivity, and differentiability assumptions. Using Hölder continuity estimates, weighted integral inequalities, and difference quotient arguments, it proves l…
This study examines the behavior of zirconium and hafnium oxynitrate dihydrates and hexahydrates in aqueous solution and in selected organic solvents, with attention to concentrations relevant to extraction-based separation studies. The authors measured pH, specific electrical conductivity, density,…
This paper addresses the difficulty of determining temperature dependences for crystallization-center formation and crystal growth in silicate glasses containing mineralizers, where direct microscopic methods are laborious. It proposes using density changes after two-stage heat treatment as an indir…
This study examines model routes toward constructing the BA ring system of tetracyclines through the synthesis of substituted 2-ketocyclohexylacetic ester derivatives. Epoxy, oxyalkoxy, lactone, and ketal intermediates were prepared from cyclohexenylacetic acid and related esters, with particular at…
This note establishes uniform estimates for derivatives of arbitrary order, including Hölder coefficients, for solutions of Dirichlet and eigenfunction problems associated with the elliptic operator div(p(x) grad u) plus q(x)u when the coefficients are discontinuous across an internal surface. For a…
The paper studies the realization of arbitrary Boolean functions of n variables by depth two networks composed of threshold elements, focusing on an upper bound for the number of first layer elements needed. It formulates the synthesis problem as a system of inequalities over threshold coefficients …
This paper examines anomalous formation of platinum ammine complexes containing ring-forming substituents, focusing on diethanolamine in comparison with monoethanolamine and glycocoll derivatives. Through comparative substitution reactions of trans platinum diamines with ammonia, monoethanolamine, d…
This study examines the direct thermal alkylation of cyclohexane with ethylene, propylene, and isobutylene under elevated temperature and pressure, a reaction class previously little explored for unsubstituted cycloparaffins. Using flow reactors packed with calcium phosphate or quartz, the authors i…
This study examines the diene condensation of maleic anhydride with 5-alkoxyoxazoles bearing different substituents in the 2 and 4 positions as a route to substituted 5-hydroxypyridine-3,4-dicarboxylic acids. Reactions in benzene with excess maleic anhydride and inhibitors gave the corresponding hyd…
The paper examines small-scale turbulent fluctuations of electron density in the lower ionosphere, where observed radio-wave scattering indicates anisotropic inhomogeneities elongated along the Earth’s magnetic field. It argues that locally isotropic neutral-gas turbulence can produce such anisotrop…
This paper examines the synthesis and reactivity of pyridyl-substituted ethynylcarbinols, a little-studied class of heterocyclic acetylene derivatives. 2-Methyl-5-ethynylpyridine was condensed with aldehydes and ketones under Favorskii conditions, with ketones giving carbinols readily in ether and a…
This paper studies conditions for the absolute convergence of multiple Fourier series of periodic functions, focusing on properties measured separately in each variable. It shows that one variable criteria applied independently are insufficient, and formulates sufficient conditions in terms of parti…
This paper reports continuous cosmic-ray observations at Yakutsk during the solar-associated disturbances of November 12 to 17, 1960, when three large neutron-component flares, hard-component decreases, radio absorption, and a major magnetic storm were recorded. Using neutron monitor, ionization cha…
This paper develops a weak topological framework for studying differential equations in Banach spaces and applies fixed point and rotation methods to the existence of periodic solutions. After formulating properties of an N-weak topology and fixed point results for weakly continuous mappings, it def…
This paper examines phase equilibria and metallide solid-solution formation along the Ti3Al, Ti3Sn section of the ternary Ti, Al, Sn system. Alloys prepared by arc melting were studied by thermal, microstructural, and X-ray analyses, with additional measurements of electrical resistivity and hardnes…
The paper studies when a homeomorphism between connected completely regular spaces extends to homeomorphisms of their bicompact extensions with punctiform remainders. Using a previously proved extension theorem, it shows that if the extensions are acyclic in dimension one, then such an extension is …
