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 uniform convergence and error estimates for Fourier expansions of continuous and differentiable functions in orthonormal Legendre polynomials on the interval [-1,1]. Using a strengthened Jackson approximation theorem due to Timan, estimates for Legendre polynomial kernels, and the…
This study examines how the position of the double bond in n-heptenes affects aromatization to toluene on a reduced alumina, chromia, potassium catalyst at 450°C. Heptene-1, heptene-2, and heptene-3 were reacted under comparable conditions, and the catalyzates were analyzed by capillary gas liquid c…
This note studies envelopes of holomorphy for semitube domains in several complex variables, extending earlier work that treated the case of one complex base variable. It defines locally normal semitube domains and proves that the envelope of holomorphy of any semitube domain is itself a locally nor…
This paper studies partial and full multiplication operations in ordered vector structures, focusing on when such operations can be represented as ordinary multiplication of continuous functions on the canonical space. It formulates axioms for partial multiplication, compares additional conditions u…
This note studies absolute summability almost everywhere of orthogonal and trigonometric series under Cesàro, Zygmund, and Riesz methods. It formulates conditions in terms of coefficient tails, dyadic block norms, monotonicity assumptions, and Weyl multipliers, extending and comparing earlier criter…
This study examines the mechanism of the reaction between benzoyl peroxide and dimethylaniline, a system relevant to vinyl polymerization initiation, with particular attention to the proposed formation of an amine ion-radical intermediate. Ultraviolet absorption spectra were measured in an ether, is…
This paper examines a solvable problem in plasma turbulence: the nonlinear time evolution of the spectrum of Langmuir electron oscillations in a homogeneous unmagnetized plasma. Using asymptotic perturbation theory, the authors derive kinetic equations for wave amplitudes and particle distribution f…
This study examines the mechanism of toluene oxidation to benzaldehyde and carbon dioxide on copper catalysts containing molybdenum and tungsten oxide additives, using carbon-14 labeled toluene, benzaldehyde, and benzyl alcohol under short contact times. Radiometric and material balance data indicat…
This paper develops a constructive formulation of compensating fields for local gauge groups by treating them as connection coefficients in the space of internal degrees of freedom. Starting from a generalized Noether argument, the authors derive the covariant derivative, transformation law for the …
This paper compares optical and radio observations to infer the structure of the solar supercorona at distances of several to about twenty solar radii. Using optical electron density estimates and radio measurements of scattering during eclipses of discrete radio sources by the corona, it examines h…
This paper develops a theory of Faradaic rectification at an electrolyte semiconductor contact, extending earlier treatments limited to metal electrodes. For a small periodic current near equilibrium, the authors model redox transfer through both the valence and conduction bands, derive expressions …
This paper reports the synthesis and characterization of chloromethyl and alkoxymethyl derivatives of cyclopentadienylmanganese tricarbonyl. Reaction of cyclopentadienylmanganese tricarbonyl with chloromethyl ether in methylene chloride in the presence of stannic chloride gave mono- and bis-chlorome…
This paper calculates the frequencies of free oscillations of the Earth’s atmosphere on a rotating spherical Earth using the CIRA 1961 standard atmosphere as a real temperature stratification. Starting from the linearized hydrodynamic equations, the analysis separates the problem into horizontal Lap…
This paper develops a self-consistent description of the interaction between high-frequency collective oscillations and low-frequency hydrodynamic waves in continuous media, treating the former as quasiparticles. Starting from a Lagrangian formulation, the authors derive a kinetic equation for the q…
The paper addresses how to estimate the mean flux of seismic energy released by earthquake sources in a way that is less dominated by rare large events than direct summation of observed earthquake energies. It derives an expression for seismic energy flux from the earthquake recurrence law and an em…
The paper studies Riemann integration within constructive analysis, using normal algorithms and constructive functions on the unit segment. It defines integral partitions, integral sums, regulators of integrability, and the Riemann integral constructively, then proves several nonexistence results: i…
This note characterizes Hausdorff spaces whose Boolean structures of canonical open, equivalently canonical closed, sets are isomorphic to a given complete Boolean structure. It first records that dense extensions preserve these structures and proves that closed, irreducible mappings satisfying a ne…
This paper analyzes the neutrino luminosity of a star undergoing gravitational collapse in general relativity, focusing on radiation generated near the stellar center and observed at infinity. By tracing radial null trajectories through the collapsing star and exterior Schwarzschild region, the auth…
This study examines the polarographic reduction of a series of phosphorylated aldehydes in aqueous buffered solutions at the dropping mercury electrode. The authors show that polarographic activity is associated with the aldehyde group rather than the phosphoryl group, and interpret the reduction cu…
This paper analyzes one-dimensional unsteady liquid motion near a nonuniformly moving piston under the onset and growth of cavitation. Using a previously proposed continuum model for a liquid containing cavitation nuclei, it derives a particular family of nonlinear solutions describing the cavitatin…
This paper examines the use of acid-catalyzed Michael-type addition reactions of furan aldehydes with alpha,beta-unsaturated aldehydes to synthesize furan-series dialdehydes of varied structures. The authors show that furan aldehydes with carbonyl groups conjugated to the furan ring do not undergo t…
An exact solution is developed for the electromagnetic field of a uniformly moving charged filament passing near a periodic system of perfectly conducting half-planes. The field is formulated with a Hertz vector, the induced plate currents are reduced to paired integral equations, and these equation…
This paper formulates approximate equations for laser radiation in a one-dimensional resonator, treating the rightward and leftward photon fluxes by nonstationary transport equations coupled to the population inversion of the active medium. The authors relate gain to inversion, include resonant stim…
This paper experimentally tests competing theories of thermophoresis for large aerosol particles, comparing formulas based on Maxwell thermal slip with the Derjagin, Bakanov, and Yalamov treatment of nonequilibrium gas processes. The authors introduce a horizontal slit method with a longitudinal tem…
This paper characterizes the matrix correlation functions of a two-dimensional stationary, centered, normalized, nondegenerate Gaussian Markov process. Starting from positivity conditions for covariance matrices and the functional equations implied by the Markov property, the author reduces the prob…
This paper examines how the thermoelectric figure of merit of refractory transition-metal monocarbides and mononitrides relates to atomic characteristics of their metallic components. Using reported room-temperature values of thermoelectric emf, electrical resistivity, and thermal conductivity, the …
Electron paramagnetic resonance was used to investigate liquid and supercooled solutions of thiocyanate complexes of pentavalent molybdenum and tungsten at 9320 MHz and at 295 and 77 K. The spectra are interpreted with isotropic and axially symmetric spin Hamiltonians, yielding g factors and hyperfi…
This paper studies the location of singularities for Taylor-Dirichlet series of the form involving powers of the variable multiplied by exponential terms, under finite upper density conditions for the exponents counted with multiplicity. It introduces a condensation index adapted to multiplicities a…
This paper studies the classification of simply connected smooth manifolds with simply connected boundary, in dimensions greater than five with specified exceptions, that are homotopy equivalent to a fixed manifold and have equivalent stable normal bundles. Using Thom spaces, relative homotopy class…
The paper studies free products of associative calculi with an amalgamated subalphabet under group and isomorphism conditions, proving embedding and intersection properties for words belonging to the factor alphabets. Its main method introduces a combinatorial “analysis” of words using auxiliary let…
The study compares the reactivity of alkylcyclopropanes of different structures toward bromine addition with cleavage of the three-membered ring, using a modified Kaufmann-Halpern bromometric procedure with extended contact times at 20 °C. A series of substituted cyclopropanes was examined, and para…
This paper develops a theoretical description of the structure and capacitance of the electrical double layer at a metal, molten salt interface, motivated by the large, temperature-increasing, and often potential-symmetric capacitances observed experimentally in melts. The authors express the near-e…
This study examines the photocatalytic oxidation of gaseous isopropanol on zinc oxide and titanium dioxide under near-ultraviolet illumination in the presence of oxygen. Using a closed infrared spectroscopic reactor, the work measures acetone formation as a function of alcohol pressure, oxygen press…
The paper studies surface waves generated on a rotating liquid occupying a half-space by a time-periodic pressure distribution moving uniformly over the free surface. Starting from the linearized hydrodynamic equations with Coriolis effects and vertical acceleration retained, it derives an integral …
This paper develops a theoretical framework for self-developing catalytic systems in which catalytic centers undergo random structural, adsorption, or chemical changes during a continuously proceeding reaction. Treating these changes as Markov-type probabilistic processes, the author derives relatio…
This note studies the first boundary-value problem in ellipsoidal domains for equations of the form Mu minus lambda Lu equals h, where M and L are homogeneous formally self-adjoint constant-coefficient differential operators of order 2s. Using weighted L2 spaces adapted to the ellipsoid and polynomi…
This note addresses the reconstruction of a category of correspondences from an arbitrary quasi-exact category, complementing earlier axiomatic work on correspondences over Abelian categories. It recalls the notions of an I-category, proper mappings, projections, injections, and quasi-exactness, the…
The paper studies a general boundary value problem with shift for a second order elliptic equation in a planar domain bounded by a Lyapunov contour, where the boundary homeomorphism has finite order. Using Vekua’s representation of solutions by boundary integrals, the problem is reduced to a singula…
The paper introduces quasi-nilpotent groups, defined as groups in which every finite set of elements generates a subinvariant subgroup, and studies their position among generalized nilpotent groups. It establishes closure properties, constructs the quasi-nilpotent radical as the subgroup generated b…
The study examines the reaction of bromocyanoacetic ester with aromatic aldehydes under Reformatsky conditions and compares selected cases with the Wideqvist reaction. Using benzaldehyde and substituted chloro and methoxy benzaldehydes, the authors show that the reactions give arylidenecyanoacetic e…
This study examines the electron impact fragmentation of several natural furanocoumarins, including psoralen, bergapten, isopimpinellin, imperatorin, isoimperatorin, prangenin, oxypeucedanin, and fellopterin, using mass spectrometry. Comparison with known coumarin fragmentation shows that furanocoum…
This study examines how polymer chemistry governs the interaction of macromolecules with colloidal iron particles formed electrolytically at a cathode in a two-layer bath. Using infrared spectroscopy of films and organosols, the authors compare nonpolar polymers, natural rubber and polyisobutylene, …
This paper extends the method of compensating fields to spinor quantities in the formulation of gravitational interaction. It argues that relations between tensor and spinor quantities used in earlier spinor gravitational theories are valid only in an orthogonal basis, and therefore constructs the i…
The paper studies feasibility conditions for multi-index linear programming problems, including transportation-type problems with equality and inequality constraint blocks. It develops reduction and “cutting” arguments showing how feasible solutions of lower-dimensional subproblems can be embedded i…
This study examines how exchange cations affect the hydration and hydrophilic properties of the strongly acidic sulfostyrene cation exchanger KU-2 with 4 percent divinylbenzene. Calorimetric measurements of integral and differential heats of wetting were performed for the H+, K+, Na+, and Ca2+ forms…
This paper investigates the channel effect in the detonation of explosive charges, in which detonation may cease when a free channel exists between the charge and its casing or borehole wall. Using high-speed motion-picture photography and pulsed radiography on low-density TNT, hexogen, and TNT mixt…
This paper examines the diffraction of gas detonation waves as they emerge from channels or tubes into a larger volume, emphasizing the role of transverse waves in multi-front detonation structure. Using schlieren and sweep photography for several combustible mixtures, the authors compare observed s…
The paper establishes a closed graph theorem for multivalued mappings between uniform spaces, extending earlier results for locally convex and related uniform spaces. After defining ultracompleteness via completeness of the hyperspace of closed subsets with the Hausdorff uniformity, it studies unifo…
The study investigates photoconductivity in photographic and electrophotographic layers using a contactless microwave method at 9660 MHz, intended to avoid difficulties caused by the high resistance and instability of gelatin binders in direct-current measurements. Measurements on silver halide emul…
