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 develops structural and geometric relations for closed complex kinematic chains. It defines independent simple closed contours, derives formulas for their number in terms of link multiplicities and numbers of pairs, and formulates transformation equations whose rank is treated as an intri…
This note studies when subgroups of classical compact Lie groups are orthogonal with respect to the Cartan invariant metric, a question motivated by the geometry of homogeneous spaces and totally geodesic submanifolds. It defines subgroups of a real orthogonal group built as products of orthogonal, …
This paper examines adsorption from ternary liquid solutions, a problem less developed than adsorption from binary mixtures, using the system acetic acid, lauric acid, and cetane on an active Volga opoka adsorbent. Adsorption isotherms were measured across a broad concentration range, with a special…
This paper examines the extension of diazonium-based arylation methods, previously used for organotin and organolead compounds, to the synthesis of aromatic germanium compounds. Aryldiazonium borofluorides were decomposed in absolute acetone in the presence of germanium tetrachloride and metal powde…
This paper studies the branching problem for continuous irreducible unitary representations of the principal series of the complex unimodular group, focusing on the restriction from the group of order 3 to a subgroup isomorphic to the complex unimodular group of order 2. The representation is realiz…
This paper examines whether adsorption potentials are enhanced near contact points of nonporous spherical colloidal particles, a question relevant to globular sorbents such as carbon blacks and silica gels. Using an integrated molecule, surface interaction potential with attraction and repulsion ter…
This paper studies large deviation asymptotics for the maximum of partial sums of independent identically distributed random variables, reformulated as the first passage time of a homogeneous random walk through an absorbing barrier. For bounded lattice jumps, it analyzes the singularities of the ge…
The paper strengthens earlier results on Pi-factorizations of finite groups by proving that such factorizations can always be chosen with pairwise permutable factors. For a finite group whose greatest Pi-divisor is written as a product of reduced Pi-integral divisors, it establishes the existence of…
This paper proves an isometric embedding theorem for polyhedra of dimensions 1 through 4 whose simplices lie in a space of constant curvature, allowing self-intersections and overlaps in the target space of the same dimension. The argument constructs Voronoi-type regions around a finite set of selec…
The paper studies mathematical questions in the dynamic stability of elastic systems with periodic perturbations, focusing on second order systems with a positive definite unperturbed matrix and a one-parameter periodic perturbation. It defines resonance and critical frequencies in classes of pertur…
This paper develops an abstract geometric theory of conjugate Lyapunov norms in finite-dimensional Euclidean spaces, motivated by characteristic exponents of conjugate linear differential systems. It defines conjugate norms, defects of conjugate bases, and the irregularity coefficient, then proves t…
This study reports dipole moment measurements for a series of organosilicon compounds in benzene at 25°C using the heterodyne method, with extrapolated polarizations calculated by the Hedestrand formula. The authors emphasize that atomic polarization in silicon compounds is significant and introduce…
This paper examines whether long-duration phosphorescence in organic luminophores can arise from more than one metastable emitting level, contrary to the common extension of single-level fluorescence theory to phosphorescence. The authors review earlier evidence from nonexponential decay and wavelen…
This paper addresses the determination of purity and crystallization temperatures of organic compounds when only very small samples are available, a limitation of the standard Rossini crystallization curve method. The authors modify the reaction vessel, thermocouple arrangement, stirring design, and…
This paper experimentally investigates the rate of thermal oxygen dissociation behind strong shock waves produced in a shock tube. The gas state was inferred from ultraviolet absorption in selected regions of the Schumann-Runge system, allowing the temperature distribution immediately behind the sho…
This paper reports the preparation and characterization of several previously unknown functional derivatives of ferrocene-1,1′-dicarboxylic acid. The authors synthesize the diacid chloride, diamide, carbamido ester, carbamido acid, cyano acid, dinitrile, and a dimeric anhydride, giving reaction cond…
This study examines the catalytic alkylation of n-butane with ethylene under high-temperature, high-pressure flow conditions using alumina, treated alumina, and aluminosilicate catalysts. Product fractions were distilled, purified from unsaturated compounds by silica gel chromatography, and identifi…
This paper reports experiments on how external lateral pressure affects the permeability of natural oil-bearing rocks during loading and unloading, a problem relevant to pressure decline and recovery in reservoirs. Core samples from Bashkiria and the Caucasus, with air permeabilities from 0.2 to 100…
The study examines low-temperature methane oxidation initiated by oxygen atoms generated through thermal decomposition of ozone, with attention to the formation of methyl hydroperoxide and formaldehyde. Experiments in a jet apparatus at atmospheric pressure measured product yields as functions of co…
This paper develops formulas for X-ray diffraction from polymer regions composed of long, parallel chain molecules forming an axial texture. It treats three idealized degrees of order: complete three-dimensional order, free rotation of chains with regular axial shifts, and one-dimensional diffractio…
The paper studies best uniform approximation of periodic functions representable as convolutions with a fixed kernel and a function from an \(L^p\) unit ball, using polynomials in a prescribed Chebyshev system. It derives general formulas for the extremal approximation quantity \(M_n^{(p)}\), charac…
This paper examines long-period luni-solar tides in the World Ocean, focusing on semimonthly, monthly, and semiannual constituents derived from the tide-generating potentials of the Moon and Sun. Using Doodson’s expansion, an elastic Earth correction, and harmonic analyses of long observational sea-…
This paper formulates an information-theoretic approach to the interpretation of geophysical investigations, treating a geophysical method as an informational observation system in which the measured field contains both useful source information and noise. Using Bayes’ theorem, the author derives po…
This study examines how the position and chemical nature of substituents affect the fluorescence spectra of anthraquinone derivatives in frozen hydrocarbon solutions at 77 K. Comparing anthraquinone, beta-substituted derivatives, and several alpha-substituted hydroxy, chloro, and amino compounds, th…
The paper examines orientational hydration of ions in aqueous solutions, focusing on why small or multicharged ions reduce the translational mobility of nearby water molecules whereas large ions can increase it. Using an electrostatic model of the internal field in liquid water and the field produce…
This study examines how the size of alkyl substituents affects the stability of silicon carbon bonds in gamma organosilicon acids under the action of concentrated sulfuric acid. Three methyldialkylsilylpropionic acids containing n-propyl, n-butyl, or isoamyl groups were synthesized through chloromet…
This study examines the formation pathways of propylene and ethylene during the thermal cracking of isobutylene, with particular attention to whether these gaseous products arise directly from isobutylene or from intermediate liquid products. Using an isotope kinetic method, the authors added carbon…
This paper examines whether Raman scattering and fluorescence can be observed and distinguished within an absorption band, using solutions of 4-nitro-4′-aminostilbene and 4-nitro-4′-dimethylaminostilbene in several solvents. The authors compare absorption and fluorescence maxima, fluorescence yields…
This paper studies representations of bicompact spaces as inverse spectra of polyhedra and relates the dimensions of the approximating polyhedra to covering, small inductive, and large inductive dimensions. It proves that every bicompactum is the space of a polyhedral spectrum, with a zero-dimension…
This study examines how adsorption of volatile inhibitors affects the electrochemical behavior and passivation of iron under conditions relevant to atmospheric corrosion protection. Using stationary potential measurements in thin electrolyte films, the authors compare benzylamine and morpholine adso…
This study examines the alkylation of phenol with acetylene under elevated pressure to determine how pressure, temperature, and catalyst composition affect formation of 1,1-(4,4′-dihydroxy)-diphenylethane. Experiments were carried out in a rotating stainless-steel autoclave using phenol in aqueous m…
This note examines Petrovsky’s criterion for uniform well-posedness of the Cauchy problem for linear partial differential equations with two independent variables and constant coefficients. Using elementary lemmas and Newton polygon analysis of the characteristic equation, it studies the asymptotic …
This paper analyzes the electromagnetic radiation produced by a point charge moving uniformly along the axis of a circular aperture in an infinite ideally conducting plane, in the nonrelativistic limit. The field is represented as the sum of ordinary transition radiation and the radiation associated…
This paper studies the structure of the sets of Markov numbers obtained from irrational numbers in the unit interval whose continued fraction partial quotients have a fixed limiting upper bound. Using continued fraction estimates for the quantities governing Diophantine approximation constants, it p…
The paper formulates a statistical variational principle for a system of Fermi particles with pair interactions, extending Bogolyubov’s zero-temperature variational method to nonzero temperatures. Using a canonical transformation to quasiparticle amplitudes as variational parameters and Bogolyubov’s…
This note studies limit logics, defined as countable closed subclasses of infinitely valued logic that contain homomorphic preimages of every finite valued logic. It introduces functions with a box structure and uses their behavior under superposition to associate invariants, encoded by real numbers…
The paper studies functionally closed completely regular spaces, also called Q-spaces, and their relation to complete topological spaces. It extends a theorem of A. A. Kubenskii by removing the normality assumption, proving that every complete topological space of attainable cardinality is functiona…
This note studies how planar area measure changes under a quasiconformal mapping whose dilatation is close to one. For a normalized mapping between rectangles, the argument estimates a boundary integral by the Jacobian and derives an inequality involving the square root of the Jacobian, then applies…
The paper investigates whether a reported conversion line near 1909 keV in the decay of La140 corresponds to a transition in Ce140 between a 0+ excited state and the 0+ ground state. The authors measured the gamma spectrum near 1900 keV with a ritron-type gamma spectrometer and examined the hard con…
This study examines the synthesis and characterization of alkylated hydroperoxides in the 1,1-diphenylethane series, focusing on how para alkyl substituents in one phenyl ring and an extended alkyl group at the tertiary carbon affect autoxidation and hydroperoxide behavior. The corresponding hydroca…
This paper estimates the Coulomb contribution to the interaction between surface hydroxyl groups on silica gel and adsorbed benzene molecules, a proposed origin of the enhanced adsorption and heat of adsorption observed on hydrated silica gel. Using simplified electrostatic models for the benzene pi…
This study examines the gamma radiolysis of liquid and frozen paraffin hydrocarbons, with emphasis on purified n-heptane irradiated by cobalt-60 sources under deoxygenated conditions. Gas evolution, gas composition, physical properties of the liquid phase, spectra, distillation fractions, sulfonatio…
This study examines the mechanism of internal diffusion during adsorption in porous activated carbon, focusing on the relative roles of gas-phase diffusion and surface migration. The authors use X-ray radioscopy to follow the advance of an ethyl bromide adsorption front in a single carbon grain, com…
This paper studies the accumulation of perturbations in nonstationary linear oscillatory systems described by systems of differential equations with time dependent polynomial operator coefficients. The author reduces the general system to an equivalent first order linear matrix system, introduces ma…
This study examines the effect of cobalt-60 gamma irradiation on several brown and hard coals in aqueous media and in carbon tetrachloride, with emphasis on transferring germanium from coal into the liquid phase. Coal samples were irradiated at specified integral doses, then the liquid and solid pha…
This paper considers the temperature dependence of ionic coordination numbers in dilute aqueous electrolyte solutions, defining an ion’s coordination number as the average number of water molecules in its immediate environment. It models coordination as a dynamic equilibrium between activated jumps …
This paper extends a Maxwell-type constitutive law for condensed, practically homogeneous and isotropic bodies from small deformations to cases involving large residual deformation while retaining small elastic strains. It derives tensor relations between stress and strain-rate tensors, allowing the…
This note studies the relation between Lagrange classes of irrational numbers with bounded continued fraction partial quotients and Markov extremal classes of indefinite binary quadratic forms, in the setting of rational approximation constants and extremal lattices for the region |uv| < 1. Using af…
This study examines the fine structure of titanium K absorption spectra in a series of titanates, including compounds with perovskite and ilmenite type structures, barium metatitanate and tetratitanate, zinc titanate, and rutile. Using a focusing X ray tube spectrograph and absorbers of varying thic…
