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 differential properties of traces of functions on hyperplanes of arbitrary dimension, extending earlier work mainly concerned with fixed dimensional hyperplanes and standard Nikol’skii or Sobolev type classes. It develops a framework with anisotropic decompositions of Euclidean spa…
This paper studies a boundary value problem for systems of second order elliptic equations in a finite multiply connected plane domain with smooth boundary and a first order linear boundary condition. Using a Green formula and a matrix fundamental type representation, the problem is reduced to an eq…
The paper addresses conflicting reports on the symmetry and crystal chemistry of rinkite, a mineral of the seidozerite and rinkite group with broad isomorphic substitutions. Using X-ray goniometer data from Greenland rinkite, Patterson projections, superposition methods, and refinement against zero-…
The paper investigates the quasi-line absorption and fluorescence spectra of tetrabenzoporphin in order to clarify how benzo substitution affects the electronic and vibrational structure of the porphin ring. Using purified tetrabenzoporphin in hydrocarbon matrices at low temperature under Shpolskii-…
This paper investigates the synthesis of more soluble heat-resistant polybenzoxazoles by polycyclization of dioxydiamines with diphenyl esters of sebacic, isophthalic, and terephthalic acids. The authors use dioxydiamines containing flexible or substituted bridging groups, especially 2,2-bis-(3-amin…
This study expands the range of silicacyclobutane monomers by synthesizing several carbofunctional 1-methyl-1-silacyclobutanes bearing cyanoalkyl, vinyl, and styryl substituents, as well as a spiro silicon hydrocarbon. The compounds were prepared by hydrosilylation and Grignard reactions, characteri…
This paper examines 1-phenyl-3-methyl-4-benzoylpyrazolone-5 as an organic reagent for extracting inner-complex compounds of elements from acidic and neutral aqueous solutions. The authors determined acid dissociation and distribution constants and studied extraction of elements including plutonium(I…
This paper discusses the mechanism of unit formation in stereospecific diene polymerization catalyzed by transition metal complexes, especially systems modeled by pi-allyl and crotyl nickel structures. It argues that monomer incorporation can be interpreted through alternative orientations of 1,4 co…
This paper studies extremal norm problems for linear polynomial operators on translation-invariant function spaces, especially operators agreeing with convolution-type polynomial transforms on trigonometric polynomials. It establishes exact values of the minimal operator norms in L2, including the c…
The paper studies traces and boundary values for weighted Sobolev-type classes of functions in a half-space, with weights satisfying monotonicity and doubling-type conditions. It defines corresponding fractional weighted spaces on the boundary and proves direct trace embeddings, inverse extension em…
This paper studies a non-self-adjoint boundary value problem on the half-axis for a second order differential equation with the singular term l(l+1)/x2 at the origin and a complex locally summable potential. It refines transformation-operator representations for the regular solution, proving differe…
This note studies multiple completeness and multiple expansions for systems of eigenvectors and associated vectors of polynomial operator pencils in Banach and Hilbert spaces. By reducing higher degree pencils to linear pencils on product spaces and applying known results on compact and Schatten typ…
This paper introduces and studies “D-series,” a class of series close to Dirichlet series whose basis functions have prescribed exponential asymptotics in a bounded domain and whose boundary of convergence contains a vertical segment. After reducing the general case by a linear change of variable, t…
This study reports the synthesis and characterization of new oxide compounds containing highly polarizable ions, with targeted perovskite compositions based on barium or lead with bismuth and pentavalent or hexavalent cations. Ceramic samples were prepared by double firing and examined by X-ray diff…
This paper examines the synthesis, purification, and thermal disproportionation of trifluoroborazane and several methyl and ethyl derivatives containing B,N bonds. The authors describe a simplified preparation from boron trifluoride etherate and amines without low temperature conditions, obtaining h…
This paper investigates the infrared spectra of radical anions of naphthalene, anthracene, tetracene, and pentacene formed by reaction with potassium in tetrahydrofuran under vacuum. Spectra of undeuterated and fully deuterated naphthalene and anthracene are used to assign radical-anion bands and co…
This paper examines why two-axis gyroscopic stabilizers may exhibit lower stability and greater tendency toward self-oscillation than comparable single-axis stabilizers. Under simplifying assumptions including a fixed base, no suspension friction, rigid elements, and a direct-current stabilizing mot…
This paper develops a thermodynamic treatment of ion exchange equilibria under isopiestic conditions, considering the ion exchanger as a solid solution of swollen resinates and deriving relations for exchange constants and activity coefficients for ions of unequal valence. The method combines isopie…
This paper investigates the mechanism of the polymorphic transformation of graphite into diamond under high pressure and high temperature, with particular attention to whether conversion occurs through dissolution in a metal catalyst or by direct lattice reconstruction. The authors use pyrolytic gra…
This paper examines how radiative polarization of electrons and positrons in storage rings can affect two-particle production in colliding-beam annihilation experiments. Using the one-photon approximation, the authors derive cross sections for polarized electron-positron annihilation into pion, ferm…
A variational formulation is developed for optimizing a one-dimensional magnetohydrodynamic generator with ideal gas flow, neglecting induced magnetic field, viscosity, and heat conduction. Using the principle of minimum integral entropy production, combined with a volume constraint, the paper deriv…
This paper examines isomeric chemical shifts in Mössbauer spectra of tin alloys with Group VIII d-metals, focusing on Co, Ni, Rh, Pd, and Pt binary systems. The authors identify alloy phases by X-ray diffraction, measure Mössbauer shifts for selected compounds, and compare the resulting dependence o…
This paper examines the stereospecific action of heterogeneous magnesium catalysts in the polymerization of propylene oxide, with emphasis on magnesium oxalate and optically active magnesium tartrate. Drawing on polymerization data, optical rotation measurements, solvent effects, catalyst hydration,…
This note proves several undecidability results for fields connected with rational functions and formal power series. It introduces relative elementary definability as a transfer principle for hereditary undecidability, then applies Hasse’s theorem on quadratic forms and properties of Hilbert symbol…
The paper proposes a kinetic-theory formulation of gas turbulence intended to address limitations of approaches based solely on averaged Navier-Stokes quantities and multipoint velocity probabilities. It replaces these averages with phase-space distribution functions for complexes of particles gover…
This paper studies the commutation function for a scalar Klein, Gordon field in an arbitrary two dimensional pseudo, Riemannian space time, using isotropic coordinates in which the metric is conformally flat. The Cauchy problem is solved by Riemann’s method for data prescribed on a spacelike curve, …
This paper examines radiation damage in sintered beryllium oxide irradiated below 100 degrees C by fast neutrons, focusing on the structural changes associated with specimen crumbling and diffraction-line broadening. X-ray diffraction and Laue measurements show that irradiated blocks break into sing…
This paper studies two-dimensional singular integral equations whose homogeneous symbols may vanish on finitely many rays, in contrast to the nondegenerate case. Working in spaces of generalized functions formulated via polar coordinates and Fourier transforms, the authors describe solvability for c…
This paper studies characteristic functions of bounded operators that are close to unitary operators in the sense of symmetrically normed ideals. Using earlier factorization results, it gives necessary and sufficient conditions for such an operator with unitary spectrum to be represented as a produc…
This paper investigates the structure and propagation mechanism of detonation in heterogeneous systems where gaseous oxygen reacts with liquid or solid fuel layers on tube walls. Using optical streak and instantaneous photography in a transparent square tube, the authors observe a detached leading s…
The paper addresses two problems posed by Mardešić concerning continua connected by ordered continua and their relation to ordered continua and dimension theory. It constructs a locally connected continuum \(X^*\), obtained as a continuous decomposition of the product of the Aleksandrov transfinite …
The paper examines how adsorbed hydrogen affects cyclohexane dehydrogenation on platinum, a question linked to differing views on whether hydrogen desorption or hydrocarbon adsorption limits dehydrogenation. Using gas-phase measurements of the catalyst potential on a platinum film at different tempe…
This paper examines how near-surface charges affect the light-induced change in contact potential difference in semiconductors, a quantity previously used to infer the ratio of hole and electron photoconductivity components. Using dynamic-capacitor measurements and photoconductivity measurements on …
This paper examines whether an upper pressure limit for thermal self-ignition can occur in a chain reaction without branching, contrary to the usual expectation that such limits require chain branching. A hypothetical one-center gas reaction in a spherical reactor is analyzed, with radical initiatio…
This paper describes the synthesis of the little studied carbonyl monomer alpha-ethoxyacrolein using a Mannich reaction of ethoxyacetaldehyde with formaldehyde in the presence of secondary amine hydrochlorides, followed by decomposition of the Mannich base hydrochloride. The authors examine reaction…
The paper studies a general class of singular integral functional equations on a Lyapunov contour involving a finite-order Carleman shift, complex conjugation, Cauchy kernels, and Fredholm perturbation terms. It reduces the equation and its adjoint to systems of singular integral equations with Cauc…
The paper studies Taylor, Dirichlet type series with separated exponents, nondecreasing powers, and coefficients of subexponential growth after reduction. It introduces principal indices and proves a gap theorem: if sufficiently long blocks of coefficients following principal indices vanish, the sum…
The study investigates hydrogen solubility in liquid niobium, for which previous data were unavailable despite its importance for producing pure niobium and niobium-based refractory alloys. Small niobium samples were melted without a crucible in a suspended state under purified inert gas and hydroge…
This paper examines the reaction of hexafluoroacetone with triethyl phosphite and addresses conflicting reports on whether the primary product is a cyclic phosphorane or 2-ethoxyperfluoropropylene. The authors show experimentally that the cold reaction forms the cyclic phosphorane in both excess and…
This paper estimates the threshold sensitivity of a high-sensitivity television system for detecting very faint stars against the night-sky background. The authors derive expected limiting fluxes and contrasts for an ideal receiver, then compare these values with observations of the globular cluster…
The paper develops a variational formulation for continua in a gravitational field and in material media, treating the law of motion, metric tensor, and additional field or internal variables as defining parameters. From an action containing the scalar curvature and a material scalar, it derives the…
This review examines M. L. Rasulov’s book on the residue method and the contour integral method for differential equations, focusing on mixed problems whose associated spectral problems may be non-self-adjoint, have multiple spectra, discontinuous coefficients, nonseparated variables, or time deriva…
The paper studies proton, antiproton annihilation into electron or muon pairs in the one-photon approximation, incorporating proton electromagnetic form factors at timelike momentum transfer and longitudinal polarization states of all participating particles. It derives differential and total cross-…
