SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
The paper studies the representation of the modular group on spaces of cusp forms of even weight for a normal subgroup of finite index, a question connected with the structure of modular forms and Hecke operators. It proves a formula for the combined multiplicity of a nonprincipal irreducible charac…
This paper reports a direct experimental test of whether Pascal’s law remains applicable in a gas with a strong temperature gradient. The authors compare two kinetic-theory predictions for air between closely spaced horizontal plates, one based on Maxwell’s thermal-stress tensor, which implies press…
This paper examines the reactions of tertiary perfluorinated amines, including heterocyclic derivatives, with anhydrous aluminum chloride and selected antimony halides. The authors argue that complex formation with aluminum chloride activates fluorine atoms at alpha carbon atoms, enabling chlorine s…
This note studies the periodic problem in the calculus of variations for positive regular reversible functionals on closed differentiable manifolds, with particular attention to nondegenerate closed extremals and their iterates. Using Morse theory, Bott’s index formula, homological arguments for spa…
This study examines the gamma radiolysis of hexachlorocyclopentadiene and compares its radiation chemical behavior with previously studied unsaturated chlorocarbons. Purified hexachlorocyclopentadiene was irradiated with cobalt-60 gamma radiation over a range of doses, and the products were separate…
This paper examines the kinetics of benzene hydrogenation over nickel based catalysts under atmospheric and elevated pressures, addressing inconsistencies in earlier reported reaction orders and activation parameters. Using flow circulation methods under isothermal conditions, the authors measured r…
This paper develops a method for determining both the degree of atomization of a gas flow and the heterogeneous recombination coefficient of atoms on metallic surfaces. The authors formulate a diffusion and convection model for atoms in a cylindrical tube containing two absorbing probe cross section…
This paper examines the instability of a liquid free surface after a detonation or shock wave slides over it, a problem relevant to the safety of transporting explosive gas mixtures. Using Landau’s stability criterion for a gas flowing over a liquid surface and shadowgraph high-speed photography in …
This review summarizes V. A. Pliss’s monograph on nonlocal problems in the qualitative theory of ordinary differential equations and nonlinear oscillations, with emphasis on systems with periodic time dependence and related autonomous systems. It outlines the book’s treatment of dissipative and conv…
The paper introduces incomplete Macdonald functions defined by splitting the standard integral representation at a finite limit, and notes their occurrence in parabolic partial differential equations for turbulent diffusion and in calculations of scintillation detector response to gamma radiation. I…
This study examines light induced oxygen adsorption and desorption on zinc oxide, a system relevant to photocatalytic oxidation and semiconductor surface processes. A quartz photosorption cell coupled to a mass spectrometer was used with oxygen enriched in O18, allowing changes in isotopic compositi…
The study examines complex formation between simple vinyl ethers and chlorides of pentavalent phosphorus, comparing phosphorus pentachloride with alkyl and aryl substituted chlorophosphoranes. Through reactions in hydrocarbon solvents, hydrolytic and alcoholytic decomposition, thermal cleavage, prod…
The paper examines why the optical electron concentration inferred from infrared dielectric measurements in crystalline polyvalent metals such as Al, Sn, and Pb is much smaller than the valence electron concentration, despite the apparent usefulness of the weakly bound electron approximation for the…
This paper studies smoothness properties of heat single-layer, double-layer, and volume potentials in domains bounded by time lines and moving curves. It formulates anisotropic Hölder-type classes adapted to the heat equation and gives regularity tables and norm estimates relating the smoothness of …
The study examines phase relations and compound formation in the Gd2O3-Al2O3 and Sm2O3-Al2O3 systems, motivated by evidence that rare-earth oxides can form more than the previously reported perovskite phases with alumina. Coprecipitated mixtures and oxide melts were thermally treated and analyzed by…
This paper examines the quasi-geostrophic instability of oceanic geostrophic currents with partial inclusion of horizontal and vertical turbulent friction. Starting from linearized perturbation equations for a stratified current, the analysis filters internal gravity waves, assumes wave-like disturb…
This note studies orders in a finite separable field extension over a Dedekind ring and the module-theoretic condition under which finitely generated torsion-free modules split as direct sums of ideals. Building on a previously proved sufficiency result and on a theorem of Bass, it proves that such …
The paper examines how alkaline additives affect the liquid phase oxidation mechanism of alpha butene at 120 degrees and 60 atm, focusing on product distributions and the formation of alpha butene oxide. Using kinetic measurements and analyses of peroxides, acids, and chromatographically determined …
This paper studies affine types of Voronoi decompositions associated with higher dimensional lattices and their relation to lattice coverings of Euclidean space by equal spheres. Using Selling frames and Voronoi reduction, it gives explicit parameter inequalities and simplex-chain descriptions for l…
The paper describes an automated method for microdetermination of carbon and hydrogen in organic compounds, addressing limitations of instrumental approaches that require additional chemical transformations or separate determinations. Small samples are combusted in a large oxygen volume within a qua…
This paper develops a statistical thermodynamic treatment for spinel type solid solutions in equilibrium with a phase of variable composition, extending an earlier method used for MeO solid solutions. Expressions are derived for configurational entropy, internal energy, and component activities, wit…
This study examines how adsorption of oxygen changes the electronic work function of powdered silver catalyst, using contact potential difference measurements by a vibrating capacitor method combined with pressure based measurements of oxygen uptake. The authors measured the dependence of work funct…
The paper studies the spectral theory of an n-particle atomic Hamiltonian with Coulomb attraction and repulsion, decomposed according to irreducible symmetry types of the permutation, rotation, and inversion groups. Using projection operators onto these symmetry subspaces, it formulates variational …
This paper reports preliminary observations of recombination radiation in p-type InSb at room temperature produced by the magnetoconcentration effect in crossed electric and magnetic fields. Thin single-crystal plates with differently treated faces were subjected to pulsed electric currents and cons…
This paper examines how diffusion of inverse population affects induced radiation generation in a multimode plane resonator, addressing limits in earlier treatments that either assumed infinitely rapid diffusion or neglected it entirely. The authors formulate rate equations for inverse population an…
This paper analyzes velocity fields generated by source and vortex singularities in a thin fluid layer whose thickness varies in one coordinate, motivated by flow past cascades in radial-axial hydraulic turbines. It formulates the governing potential equations, revises the boundary conditions at inf…
The paper studies the Tricomi boundary value problem for a second order mixed type equation with lower order terms, after reducing the equation to a form without a first derivative in the degeneracy variable. Under specified regularity, sign, and boundary assumptions on the coefficients, the domain,…
The study examines the previously uninvestigated reaction of triphenyl phosphite with omega-bromoacetophenone under solvent and solvent-free conditions. Experiments in anhydrous benzene, toluene, xylene, and at elevated temperatures showed that the initial product is a crystalline addition compound,…
This study examines stationary states formed during prolonged gamma radiolysis of neutral aqueous oxygen solutions, focusing on the dose-rate and oxygen-concentration dependence of hydrogen, hydrogen peroxide, and oxygen. Using cobalt-60 irradiation, gas-pressure measurements, spectrophotometric det…
This paper studies best approximation of continuous and analytic functions by algebraic and trigonometric polynomials subject to homogeneous linear constraints on their coefficients, extending problems originating with Markov. It first derives general inequalities in a normed linear space relating c…
The paper studies convergence and error bounds for lattice cubature formulas applied to periodic functions on a torus in the Sobolev space \(L_2^{(m)}\). It shows that, among formulas with the prescribed lattice nodes, the minimal norm of the error functional is obtained when all coefficients are eq…
The study examines reactions of ethyl and phenyl dichlorophosphines with acrylic and methacrylic acids as a route to phosphorus-containing carboxylic acid chlorides. It proposes that addition begins with attack of the phosphorus lone pair at the beta carbon of the unsaturated acid, forming a bipolar…
This study examines the behavior of alkali metal impurities, chiefly rubidium, potassium, and sodium, during directional crystallization from melts of several cesium salts. Distribution coefficients were determined from impurity concentration profiles along crystallized ingots for cesium chloride, i…
This note examines whether interpolation results known for Chebyshev nodes extend to more general quasi-uniformly distributed nodes on the interval [-1,1]. Using a node system formed by adjoining the endpoints to Chebyshev nodes, it proves that Lagrange interpolation of the function |x| diverges at …
This paper presents a method for synthesizing both optical antipodes of beta-aminobutyric acid from crotonic acid using optically active alpha-phenylethylamine. Addition of either enantiomer of alpha-phenylethylamine gives separable diastereomeric N-phenylethyl beta-aminobutyric acids, which are iso…
The paper extends a general method for constrained extremum problems from linear approximation to higher order variations in Banach spaces. It formulates admissible and forbidden cones for first and second variations, derives corresponding Euler equations through separation conditions in the adjoint…
This paper examines emulsifier-free heterophase polymerization as a route to stable aqueous polymer dispersions, using methyl acrylate initiated by a persulfate based redox system. The authors argue that sulfate end groups formed during initiation can stabilize particles when the polymer degree of p…
This study examines the chemical fixation of molecular nitrogen in acidic aqueous solutions containing transition metal compounds under room temperature and atmospheric pressure. Solutions of selected group IV to VII metal compounds in hydrochloric or sulfuric acid were treated with zinc or zinc ama…
The paper studies the regularized trace of the differential operator d n/dx n plus a smooth potential q(x) on the interval [0,1], under regular boundary conditions identical to those for the unperturbed operator and with zero mean potential. Extending earlier trace formulas known mainly for second o…
The paper studies infinite systems of linear inequalities over real linear spaces and formulates a notion of polyhedral closure for their dual cones, extending Minkowski’s finite theorem on consequences of linear inequalities. It proves that a consistent system is finitely determined, in the sense t…
This paper examines coordination compounds of uranyl perchlorate with neutral ligands of differing donor strength, including pyridine, antipyrine, nitromethane, camphor, tributyl phosphate, dibutyl ether, methanol, acetonitrile, and water. Using chemical analysis and infrared vibrational spectra, th…
The paper develops a general framework for difference schemes approximating abstract Cauchy problems with possibly unbounded, time-dependent operators in Banach and Hilbert spaces. Instead of placing the discrete solution in the original space, it introduces a sequence of approximating spaces with p…
The paper studies asymptotic solutions on the half-line for ordinary linear differential equations of order n with a small parameter, and for a related class of even order quasi-differential equations. Under hypotheses on coefficient limits, separation of characteristic roots, and summability of der…
This paper examines the kinetics of radiation polymerization of polyester acrylates and compares them with known features of thermally initiated three-dimensional polymerization. Using differential thermography during irradiation with cobalt-60 gamma rays and accelerated electrons, the authors measu…
This paper studies Poincare’s problem on periodic solutions of nonautonomous differential systems with analytic right hand sides in the resonant case, focusing on solutions branching from a periodic solution of the generating equation. The authors reduce the existence and enumeration problem to a fi…
This paper examines how the crystallographic orientation of a copper target affects the energy spectra of ions scattered from its surface under irradiation by 30 keV singly charged argon ions. Using energy analysis at varied glancing and scattering angles, the authors compare spectra from a copper c…
The paper studies an infinitely long thin elastic circular cylindrical shell subjected to loads distributed along a finite segment of a generator, with load components directed longitudinally and circumferentially. Using Green’s functions for concentrated forces and asymptotic properties of Cauchy-t…
