SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
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This note analyzes optimal acquisition, replacement, and use of equipment under uneven demand, especially alternating normal and peak loads, with costs discounted over an infinite horizon. Using simplified dynamic programming models, it derives optimal stationary policies for purchasing and assignin…
This paper introduces the notion of an \((\omega,p)\)-mapping, a continuous onto map controlled by a given cover through fibers that admit subfamilies with specified finiteness or countability properties. A main lemma shows that such mappings onto paracompact or strongly paracompact spaces yield loc…
This study examines the polymerization of 4-vinylpyridine on polystyrenesulfonic acid as a strong polymeric acid matrix, extending earlier work on specific ionic polymerization of vinylpyridinium salts. Using infrared spectroscopy, elemental analysis, and electron and optical microscopy, the authors…
This study examines rearrangement and fragmentation of aliphatic carbenium ions during Friedel-Crafts type alkylation of benzene with alcohols in 80% sulfuric acid, a medium reported not to isomerize the aromatic products. The authors alkylated benzene with propyl, butyl, and amyl alcohols under sta…
The paper studies whether energy-type a priori estimates for the one-dimensional wave equation with variable leading coefficient can be extended to the norms of \(C\), \(L_p\), and \(W_p^1\) for \(1 \le p < 2\), with constants depending only on uniform ellipticity bounds. Using periodic reductions, …
This communication examines the formation of polynuclear beryllium complexonates with phosphinic acid complexones containing alkylphosphinic groups. Using potentiometric titration and polarography at controlled ionic strength and temperature, the authors analyze complex formation for several ligands…
The paper studies rational approximation on compact subsets of the complex plane in relation to zero analytic capacity, focusing on whether Lp approximation by rational functions with poles off the set and with sums of coefficients tending to zero characterizes sets of zero analytic capacity. It sho…
The induced infrared absorption spectrum of hydrogen dissolved in carbon tetrachloride was measured at room temperature in the 7500 to 9500 cm⁻¹ region, corresponding to the first vibrational overtone transition. Using high pressure hydrogen solutions and a long path absorption cell, the study ident…
The paper addresses B. V. Gnedenko’s problem of characterizing possible limiting distributions for normalized sums of independent random variables when only a fixed number r of distinct summand distributions occurs. It first gives an explicit example for r = 3 showing that the class of limits is bro…
A modified absorption method is proposed for determining diffusion coefficients of radioisotopes whose beta spectra make the conventional absorption coefficient depth dependent. The method constructs an experimental calibration curve relating changes in detected radiation intensity to the mean displ…
This paper studies the relation between positive definiteness, the moment problem, and self-adjointness of field operators in quantum field theory. Using a rigged Hilbert space construction based on nuclear spaces of test-function sequences, it proposes conditions on the growth of Wightman functiona…
The paper addresses Urysohn’s problem of whether there exists a continuum whose space under Mazurkiewicz’s relative metric is not zero-dimensional yet has no nondegenerate connected subsets. It constructs a one-dimensional continuum by an inductive self-similar process inside a tetrahedron, using pr…
This paper examines how thermal dissociation affects the interaction of carbon with carbon dioxide and oxygen over a broad high temperature range. Using previously reported rate constants and equilibrium compositions for dissociated carbon dioxide, the authors compare the relative contributions of r…
This study uses infrared spectroscopy to examine surface compounds formed when vanadium oxide catalysts interact with naphthalene and naphthalene oxidation products during catalytic oxidation in air. Vanadium oxide films were treated under reaction and adsorption conditions, and their spectra were c…
This item is a compiled bibliography of journal articles published in 1965 on differential equations and related areas of analysis, numerical methods, control theory, and mathematical physics. The entries list authors, article titles, publication venues, issue information, page ranges when available…
This note studies error functionals for cubature formulas on a lattice whose deviations from the regular interior rule are confined to a boundary layer of fixed thickness. It defines regular boundary layers, proves structural lemmas showing that differences of such functionals reduce to zero point f…
The study examines isomerization of the cyclohexyl cation generated during nitrous acid deamination of tritium labeled cyclohexylamine, with emphasis on distinguishing possible hydride shifts. Cyclohexylamine labeled in the alpha positions was synthesized from cyclohexanone via tritiation, oxime for…
This study examines the preparation of ethylene butylene elastomers by copolymerizing ethylene with butene-1 directly in a liquid butylene medium, without a separate inert solvent, using a VCl4 and diisobutylaluminum chloride catalytic system. Experiments in a 2 liter autoclave varied ethylene conce…
This note studies how the zeros of even and odd trigonometric polynomials are determined by the zeros of associated algebraic polynomials. It proves interlacing and counting theorems for cosine and sine polynomials under hypotheses such as real interlacing algebraic roots or containment of algebraic…
This study addresses the difficulty of selectively isolating the intermetallic compounds Ni3Al and Ni3Ti from nickel alloys in which their electrochemical behavior and crystal structures are closely similar. Anodic polarization and potential, time measurements were used to select electrolytes for el…
The article examines the thermal stability and dissociation behavior of molybdenum disulfide under high vacuum, addressing conflicting earlier reports on whether decomposition proceeds directly to the elements or through lower sulfides. Samples of MoS2 were sealed in evacuated quartz ampoules, heate…
This note extends Skornyakov’s theory of free T-extensions and free T-sums from linear algebras to Kurosh multioperator algebras over a field, including nonassociative cases. It defines T-homomorphisms and multioperator fields with divisions, constructs free T-extensions by adjoining solutions to un…
This study examines how diamagnetic ions affect the hydration shells of vanadyl ions in concentrated aqueous vanadyl chloride solutions, using electron paramagnetic resonance line narrowing as an indicator of enhanced spin exchange. The authors argue that cations with strong electrostatic fields par…
This paper investigates how deformation-induced changes in optical absorption spectra of cubic crystals affect the dispersion of refractive index and forced birefringence, linking photoelasticity with piezospectroscopic phenomena. Using an interference method under uniaxial compression at low temper…
This note generalizes to dimensions greater than two a property of solutions of second order elliptic equations previously established for two independent variables. For elliptic equations with analytic coefficients, it proves that a function of class C1 which is a regular solution in a neighborhood…
This paper examines how electrolytes affect hydration and crystallization structure formation during the hardening of alpha hemihydrate gypsum suspensions with quartz filler. Using KCl, K2SO4, and CaCl2 additives, the authors compare hydration kinetics, dissolution behavior, microscopic crystal morp…
The paper examines how the Hall effect should be characterized in plasma flow theory when the usual Hall parameter alone is insufficient to describe deviations from one-fluid magnetohydrodynamics. Starting from simplified two-fluid equations, the authors introduce a dimensionless exchange parameter …
The paper develops a capacity-based method for studying extremal properties of functions regular in multiply connected planar domains, extending symmetrization principles for annuli and related results of Hayman and Schiffer. It defines potential functions, admissibility, and condenser-type capacity…
The paper examines hydrolysis and substitution behavior of Rh(III) complex ions in relation to the compensation effect, which links activation entropy and activation enthalpy and implies a temperature at which related reaction rates converge. Using literature kinetic data together with new measureme…
This paper examines how n to pi* excitation in carbonyl-containing luminophore molecules can promote radical generation through hydrogen transfer in hydrogen-bonded complexes with a surrounding matrix. The authors develop a quantum-mechanical argument, using a Heitler-London treatment and molecular-…
This paper examines the use of pi-allyl and pi-crotyl nickel complexes as components of catalytic systems for stereospecific polymerization of butadiene. The authors synthesize bis-(pi-crotyl)-nickel and related nickel halide complexes, combine them with several metal halides, and compare polymer yi…
This paper generalizes experimental information on binary solid solutions based on alpha and beta titanium using phase diagram data arranged according to the periodic system of elements. By plotting limiting solubilities, eutectic and peritectic concentrations, transformation temperatures, and distr…
The paper investigates absorption spectra of colloidal solutions and dry layers of several organic dyes, motivated by analogies between metallic colloids and conjugated organic systems. Using highly sensitive spectrophotometric measurements at very low dye concentrations, the authors compare freshly…
The paper studies how solutions of mixed boundary value problems for the equations of small oscillations of a rotating fluid depend on perturbations of the boundary of the spatial domain. By reducing the pressure to an evolution equation and mapping perturbed planar and spatial domains onto a fixed …
This paper examines how finite vibrational relaxation affects thermal dissociation of diatomic molecules in rapidly heated gases, focusing on the case where vibrational populations remain Boltzmann distributed but have a vibrational temperature different from the translational-rotational temperature…
This bibliographic notice surveys recently published books and collected volumes from 1963 to 1964 in differential equations, mathematical physics, integral equations, boundary value problems, stability theory, numerical methods, and related areas of analysis. The entries include textbooks for unive…
This study examines stationary and nonstationary butadiene polymerization in benzene catalyzed by diisobutylaluminum chloride and the pyridine complex of cobalt chloride, with particular attention to the role of initial water concentration. Using precise dilatometric measurements and controlled addi…
This paper investigates whether shock waves can induce polymerization in condensed monomers under conditions distinct from ordinary thermal, catalytic, radiation, or mechanochemical initiation. Solid monomers in metal ampoules were subjected to plane shock waves generated by explosive charges, with …
This paper examines the disputed structure and stereochemistry of alloocimene dioxide, for which earlier assignments were based on reduction or hydration products that could involve isomerization. The authors synthesize a homogeneous dioxide sample and analyze its proton magnetic resonance spectrum,…
This study examines the radiation chemical transformation of crystalline o-nitroaniline under gamma irradiation and characterizes an insoluble dark-brown radiolysis product isolated by solvent washing. Elemental analysis, Debye diffraction, infrared spectroscopy, mass spectrometry, thermal behavior,…
This note addresses finite axiomatizability of identities for finite algebras, following earlier results showing that all two element algebras have finite complete identity systems while certain larger finite algebras do not. It constructs a three element algebra with a single binary operation and p…
Infrared absorption spectra of undeuterated and deuterated thiourea dioxide in the crystalline state were examined to clarify the bonding and molecular structure of the compound, in view of differing structural formulas proposed from chemical and X-ray data. Comparison of the spectra from about 400 …
This study examines crystallization and glass transition behavior in model polyether-urethane block copolymers containing aliphatic polyester blocks and arylene-containing polyester blocks. Thermomechanical measurements were used to determine glass-transition temperatures across several copolymer se…
This chronicle reports on an All-Union seminar-symposium held in Novosibirsk in June 1965 on Lyapunov’s second method and its applications in power engineering. It summarizes the organization and scope of the meeting, lists presentations by mathematicians and power engineers on stability theory, Lya…
The study examines whether reactions between diorganotin dihalides and diorganotin dialkoxides proceed by group rearrangement to mixed alkoxyhalides or by formation of donor acceptor complexes. Using cryoscopic, dielectrometric, and calorimetric titration, together with isolation of products, dipole…
