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 restricted form of the perfect compact kernel problem in descriptive set theory using Novikov’s notion of effective distinction. For broad classes of delta s-operations, including operations producing Borel, analytic, and projective sets of specified levels, it proves that sets …
The paper studies the existence of a solution to F. I. Frankl’s boundary value problem for a mixed elliptic hyperbolic equation with degeneracy on the line separating the two types. Under specified smoothness and geometric assumptions on the boundary curve, the problem is reduced by symmetry to an a…
This paper develops an operator-theoretic approach to Fourier series in eigenfunctions of positive self-adjoint differential operators, using negative fractional powers to study convergence, rates of convergence, and termwise differentiation. The authors prove abstract criteria showing that if suita…
The study examines how high concentrations of dioxane affect coordination interactions in the cadmium thiocyanate aqueous system and proposes an explanation for the observed “negative complex formation” effect. Potentiometric measurements with a cadmium amalgam indicator electrode were carried out f…
This paper reports rocket-based measurements of electron concentration in the ionosphere conducted during high-altitude geophysical rocket launches of the USSR Academy of Sciences from 1954 to 1958, including a 1958 flight reaching 473 km. The method used coherent ultrashort-wave transmitters on roc…
This paper analyzes the convergence rate and computational cost of iterative finite-difference methods for the Dirichlet problem for the Laplace equation. It studies a family of modified averaging operators related to the standard Richardson and Liebmann iterations, with particular attention to the …
This paper derives approximate equations for photon scattering on nucleons using dispersion relations for Compton scattering. The authors construct a relativistically and gauge invariant decomposition of the scattering amplitude, reduce it to six independent structures under time reversal invariance…
The paper introduces a notion of linear dimension for topological vector spaces of type F, defined through continuous linear images of closed linear subspaces, and compares it with Banach’s dimension. It proves general structural properties, including dual invariance for reflexive Banach spaces, and…
This note extends Riesz’s one-dimensional characterization of Sobolev functions by bounded p-variation to functions of several variables. For domains where Sobolev embedding theorems apply, it defines a multidimensional p-variation through sums of coordinate difference quotients over grid partitions…
This study examines gas formation and its role in radiation-induced degradation of polytetrafluoroethylene, polymethyl methacrylate, and polyethylene under fast-electron irradiation at varied temperatures and dose rates. Experiments combining irradiation with controlled heating show that gas evoluti…
This paper computes radial parts of invariant differential, or Laplace, operators and the corresponding zonal spherical functions for several symmetric spaces related to complex Grassmann manifolds. For the compact complex Grassmann space and its Cartan dual, the authors express radial operators thr…
This paper proves a homeomorphism criterion, proposed by P. S. Aleksandrov, for point sets in Euclidean spaces and for triangulated polyhedra in terms of their geometric or combinatorial spectra. It reformulates the needed notion of cofinality in the ordinary sense and shows that two sets are homeom…
This paper studies an axisymmetric plane strain problem for a medium outside an expanding and rotating circular cavity, where small stresses are elastic and larger stresses produce friable behavior. The analysis formulates the stress, displacement, and moving boundary between elastic and friable zon…
This paper examines the polarographic reduction of a series of sandwich-structure bisarene chromium iodides, including dibenzene, ditoluene, dimesitylene, bisdiphenyl, dicumene, and di(cyclohexylbenzene) chromium derivatives. The authors synthesize two previously undescribed iodides and study reduct…
This paper examines whether amorphous polymers are better described as chaotically entangled chains or as systems containing ordered molecular bundles. Using electron microscopy of dilute and concentrated solution deposits, the authors study Salvarsan, polyacrylamide, and a methyl methacrylate, meth…
The paper analyzes electromagnetic wave propagation in smooth irregular hollow waveguides when a local critical section is present, that is, when the longitudinal wave number of a mode vanishes. It reformulates the coupled-mode equations in variables representing sums and differences of forward and …
The paper examines the stereochemistry of the Diels-Alder condensation of 1-alpha-acetoxyvinyl-delta1-cyclohexene with maleic anhydride in boiling benzene, focusing on whether the liquid adduct is a single anti-cis product or contains stereoisomeric material. Through acid saponification, isolation o…
Levitan studies adjoint operators associated with generalized translations on a differentiable manifold, emphasizing how their deeper properties depend on the choice of measure. For translations defined through Cauchy problems for second order differential operators, the paper derives the correspond…
The paper develops a general scheme for deriving large-parameter asymptotic representations of solutions to second-order linear differential equations, including cases with singular points. The method reduces the original equation by changes of variables to an equation without a first derivative, co…
This paper investigates the mechanism of spontaneous potassium ozonide decomposition into potassium superoxide and oxygen, a reaction previously shown to have an autocatalytic course with a long induction period. The authors combine kinetic measurements of oxygen evolution with Gouy magnetic suscept…
The study investigates isotopic exchange between carbon dioxide chemisorbed on a doubly promoted iron catalyst for ammonia synthesis and carbon dioxide in the gas phase, with attention to what the exchange reveals about surface heterogeneity and promoter behavior. Using carbon-14 labeled carbon diox…
The paper studies initial value problems for linear differential equations in Banach spaces of the form du/dt + Au = f(t), where A is a closed unbounded operator. Using sectorial resolvent assumptions, it constructs a holomorphic semigroup generated by negative A, derives estimates for integer and f…
This paper studies mixed initial and boundary value problems for constant coefficient partial differential equations in two independent variables satisfying Petrovskii’s condition for uniform well posedness of the Cauchy problem. Using Laplace transforms in time and space, the problem is reduced to …
This study investigates the phase composition and elemental distribution of the Chebankol iron meteorite using local X-ray spectral analysis of microvolumes. Concentration profiles for iron, nickel, and cobalt were measured across kamacite and taenite regions of the Widmanstätten structure and in fi…
The paper studies a two-dimensional singular integral equation with kernel involving both a Cauchy-type singularity and a pole at the origin, for complex-valued functions on a bounded plane domain. By differentiating in the Sobolev sense and integrating the resulting differential equation, the probl…
The paper investigates the kinetics of isobutylene polymerization catalyzed by boron fluoride diethyl etherate, using a reactor in which the catalyst was present as a thin adsorbed film on fused quartz to reduce diffusion effects. Measurements at 70 degrees show that at low isobutylene pressures the…
This paper examines nuclear paramagnetic relaxation in systems of several equivalent spin one half nuclei, addressing limitations of treating each spin as relaxing independently when relaxation is produced by pair dipole interactions. Using transition probabilities between Zeeman levels and selectio…
This paper constructs a differential geometry of hypersurfaces in multidimensional spaces of projective connection with curvature and torsion, using a group-theoretic invariant method. Starting from the Pfaffian structure equations and the adapted moving frame of a hypersurface, it derives a sequenc…
The paper studies one-degree-of-freedom oscillatory systems whose mass, restoring force, perturbation, and parameters vary slowly and may depend on the oscillatory state. Using an asymptotic averaging approach over times of order 1/epsilon, it derives equations for the extrema of the coordinate, the…
The paper formulates differential equations for steady asynchronous operation in electrical systems after a synchronous machine loses synchronism, with emphasis on when the resulting linear system has periodic rather than constant coefficients. Using a system of two synchronous generators, an induct…
This paper examines the development and healing of embryonic microcracks in crystals during plastic deformation, focusing on cracks that form in the slip plane rather than at the head of a dislocation pile-up. It proposes that bending of atomic planes parallel to the slip plane during pile-up format…
This study examines the pressure-induced polymerization of butyraldehyde, a reaction previously known to yield unstable products of unclear structure. Purified butyraldehyde was sealed under nitrogen and held at ultrahigh pressures, with product yields estimated by vacuum evaporation of residual mon…
Korobov studies nontrivial bounds for rational trigonometric sums with polynomial phase modulo q, focusing on the range P = q^{1/r} where earlier estimates of Vinogradov type applied but included large exponential factors and weaker savings. The paper proves estimates replacing that coefficient by a…
This paper investigates the kinetic mechanism of vapor-phase methane nitration by nitrogen dioxide under conditions of slow reaction and low conversion, addressing whether the process is chain-like or governed by a free-radical elementary step. Initial rates were determined from nitrogen dioxide con…
The paper develops a weighted method for counting lattice points in n-dimensional polyhedra by assigning fractional interior weights to boundary lattice points according to the directions and higher-dimensional extensions entering the polyhedron. It proves that the resulting polyhedron weight is add…
This study examines how catalyst supports influence the direction of ring cleavage during catalytic hydrogenation of cyclopropane hydrocarbons. The authors compare the isomerizing activity of aluminosilicate, kieselguhr, pumice, activated carbon, and supported platinum catalysts, using ethylcyclopro…
This study examines the stereochemistry of substitution and isotope exchange reactions at an olefinic carbon atom in cis and trans β-chlorovinylmercury compounds. Using mercury-203 labeled mercuric chloride and metallic mercury, the authors followed electrophilic and homolytic exchange reactions in …
This paper examines the age of meteorites using uranium and lead abundances and the isotopic composition of lead, with particular attention to discrepancies among published uranium determinations. The authors report measurements for stony, pallasite, and iron meteorites, using a pyrochemical method …
The paper develops a method for proving Gödel and Rosser style incompleteness results for formal systems equipped with restricted Carnap rules of transfinite rank. It defines a hierarchy of systems, constructs primitive recursive well-orderings and provability predicates by transfinite induction, an…
This communication reports a repeated determination of the standard heat of combustion of liquid tetrahydropyran, undertaken to address a discrepancy between previously published Soviet and English calorimetric values. The authors purified tetrahydropyran by several methods, dried and fractionated t…
This paper examines whether the observed overabundance of nuclei heavier than helium in primary cosmic rays can be explained by preferential acceleration rather than by unusually high source abundances. Using Fermi’s statistical acceleration mechanism, the authors compare energy gains with ionizatio…
This paper examines critical conditions for thermal explosion in condensed-phase substances when heat exchange at the boundary is finite rather than fixed-temperature. Using the Frank-Kamenetskii transformation of the Arrhenius term, the authors formulate a stationary boundary-value problem with a B…
This note compares the complexity of realizing monotone Boolean functions by contact circuits using only closing contacts with realization by circuits allowing arbitrary, including opening, contacts. It introduces contact-count complexity measures for the two circuit classes and proves lower bounds …
This paper studies the index of the operator associated with a boundary value problem for elliptic systems of second order linear differential equations. Building on earlier notation and constructions, it proves that the index is invariant under arbitrary changes of the leading coefficients of the d…
The paper examines a variational principle for the many-body problem of interacting Fermi particles in second quantization, using a canonical transformation that generalizes the ordinary Fock method. It derives stationarity equations for the transformed amplitudes under normalization constraints and…
This paper investigates the formation and stabilization of free radicals and hydrogen atoms during gamma radiolysis of hydrocarbons frozen at 77 K. Hydrocarbons including normal paraffins, isooctane, cyclohexane, benzene, and toluene were irradiated in sealed quartz ampoules and examined without tha…
This paper reports the synthesis and characterization of amino acid derivatives of adenosine 5′-phosphate in which amino acids are connected to the nucleotide through a phosphoric acid residue. Esters of N-adenylamino acids containing a phosphoamide bond were prepared from 2′:3′-isopropylideneadenos…
This note reports an event observed in a nuclear emulsion stack exposed in the stratosphere, interpreted as the decay of a stopped heavy meson with production of a positive pion and an electron positron pair. The analysis uses track geometry, residual ranges, gap density, ionization, and multiple sc…
The paper studies when the Cauchy product of two series is summable by a triangular matrix method, given that the factors are summable or absolutely summable by other triangular methods. Using mean value type estimates for summability matrices, it formulates necessary and sufficient conditions under…
