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
This paper describes the development of pulsed iron-free betatrons intended to produce intense ring beams of high-energy electrons. The authors discuss an air-core electromagnet design based on flat spirals and a central solenoid, its field symmetry and stability properties, capacitor-bank powering,…
The paper introduces alternative moduli of convexity and smoothness for Banach spaces, defined through the aperture of one-dimensional subspaces and hyperplanes. It proves that these moduli characterize the same uniformly convex and uniformly smooth spaces as the classical moduli, while satisfying s…
This paper examines the calculation of dielectric permittivity and conductivity in an electron phonon system with consistent treatment of screening effects, emphasizing the role of direct Coulomb interactions. Using the Bardeen Pines Hamiltonian and the method of retarded two time Green’s functions,…
The paper proposes an approximate method for calculating supersonic viscous gas flows in regimes where neither boundary-layer equations nor inviscid-flow equations alone are adequate. It formulates the problem as a singularly perturbed boundary-value problem and constructs a piecewise solution in wh…
This paper examines the structure of solutions to the chain of kinetic equations derived from the Liouville equation for a finite system of interacting gas molecules. It argues that, besides ordinary mechanical interactions within a group of particles, the equations contain integral interaction term…
This note studies how the \(d\)-characteristic of a linear operator, consisting of the dimension of its kernel and the codimension of its range, changes under relations between two linear operators on vector spaces. Using direct-sum decompositions associated with the kernels and ranges of operators …
The paper studies extremal problems for real algebraic polynomials of bounded degree that are nonnegative on a prescribed real interval and whose coefficients satisfy an arbitrary finite system of linear relations. It represents such polynomials in factored form and derives structural restrictions o…
The paper investigates oxygen ionization and reduction processes on silver in alkaline solution using a rotating silver disk electrode with a platinum ring, combined with triangular potential pulses. Ring-current measurements show that hydrogen peroxide is formed as an intermediate during molecular …
The paper studies a singular Cauchy problem for a generalized Euler, Poisson, Darboux type equation of order n, with a linear operator acting in the spatial variables and with singular coefficients depending on t. It derives integral and differential formulas relating solutions corresponding to diff…
This study examines the polymerization of vinyl chloride initiated by systems formed from carbon tetrachloride and individual organotitanium compounds, motivated by prior evidence that titanium halides influence radical initiation. Experiments compared tetravalent, mixed cyclopentadienyl alkyl or ar…
This paper reports a gas-phase electron diffraction study of phenylcyclopropane, addressing the molecular geometry and the rotational isomerism about the bond connecting the benzene and cyclopropane rings. Experimental scattering and radial distribution curves were compared with theoretical curves f…
This study examines the mechanism of methylcyclohexane dehydrogenation to toluene over an alumina, chromia catalyst, extending earlier tracer studies of cyclohexane dehydrogenation. Flow reactor experiments combined chromatographic product analysis with additions of radiocarbon-labeled methylcyclohe…
This paper examines the classical localization principle for Fourier series expanded in eigenfunctions of the Laplace operator on multidimensional domains, with boundary conditions yielding a complete orthonormal eigenfunction system. It contrasts a positive localization theorem, requiring membershi…
The study applies electron paramagnetic resonance to the catalytic decomposition of several alkyl hydroperoxides in the presence of cobalt salts, with the aim of detecting and comparing radical intermediates under different reaction conditions. The recorded spectra are attributed to alkyl peroxy rad…
This note studies the external stability number of a finite simple undirected graph, defined as the minimum size of a vertex set adjacent to every vertex outside it, in relation to the number of edges. It proves exact extremal formulas for the maximum number of edges in connected \(n\)-vertex graphs…
This paper examines the decay of homogeneous turbulence in a weakly conducting incompressible liquid placed in an external magnetic field, under the assumptions of small magnetic Reynolds number and negligible nonlinear terms in the Navier, Stokes equation. By deriving equations for velocity correla…
This study examines the polymerization and copolymerization behavior of several unsaturated peroxide esters, including tert-butyl and tert-amyl peracrylates, substituted peracrylates, and tert-butyl permethacrylate, with attention to their possible use in grafted and modified polymers. Polymerizatio…
The paper analyzes shrinkage stress in drying disperse porous structures as a resultant of surface tension, capillary contraction, elastic resistance of the structure, and secondary cohesion and adhesion bonds. It proposes a mechanical model and divides drying into four periods, describing how the r…
This paper studies the relation between Lebesgue measure and the level sets of the distance function to the complement of a bounded open set in Euclidean space. Using Lipschitz differentiability, Steklov averages, and Kronrod variation, it proves that for a bounded open set in the plane, almost all …
The paper introduces and studies classes of regular functions of several complex variables, primarily in two variables, that generalize p-valent, p-valently starlike, and p-valently convex functions of one complex variable through their restrictions to analytic sections of bounded complete bicircula…
This paper examines the mechanism of hydrogen embrittlement in steel at low hydrogen contents, where delayed fracture depends strongly on deformation rate and is hypothesized to be controlled by stress-directed hydrogen diffusion. Quenched 5KhNM steel plates were tested in bending under constant loa…
The paper treats the initial value problem for the kinetic equations of a plasma with the Landau collision integral in a homogeneously expanding or compressing flow. By transforming from particle velocity to peculiar velocity and then to scaled velocity and a new time variable, the problem is reduce…
This study examines the synthesis and stability of furylsilanes, compounds in which the alpha carbon of a furan ring is directly bonded to silicon. A series of alkyl and phenyl substituted furylsilanes was prepared by reacting furyl lithium, generated from furan and organolithium reagents, with chlo…
The paper studies basic three-dimensional boundary-value problems for composite isotropic elastic media with piecewise constant Lamé parameters and discontinuities across internal interfaces. It proposes a potential-theoretic reduction of these problems to systems of two-dimensional singular integra…
This paper reports measurements of impurity photoconductivity in germanium doped with group V donors, specifically antimony and arsenic, at photon energies below the donor ionization energies. Spectral photoconductivity curves at low temperature show distinct maxima at long wavelengths, whose positi…
The note studies when an analytic real periodic function can be represented as a finite sum of squares of real periodic functions, a question motivated by decompositions of positive definite differential and difference operators and their Fourier transforms. It introduces Maclaurin structures, trace…
This note examines how far the standard condition K(s)H(1-s)=1 on the critical Mellin line is necessary for the separate inversion and Parseval assertions in the theory of Watson transformations. The kernels are decomposed into two bounded Mellin components, and sufficient relations among the compon…
Reactions of potassium cyanide with hexahalogenoplatinates of tetravalent platinum were examined as a route to hexacyanoplatinate and as a probe of substitution behavior in Pt(IV) cyanide complexes. Instead of potassium hexacyanoplatinate, the reactions yielded pentacyanohaloplatinates, especially p…
This study examines the equilibrium between p-N-benzenesulfonylaminophenyldiazonium chloride and its corresponding diazoimide, a system previously characterized mainly through chemical behavior rather than direct structural evidence. Using UV spectra in water, acid, alkaline, buffer, and methanol so…
This paper investigates the reaction of hexaalkyldistannoxanes with acetylenic compounds containing active hydrogen atoms, motivated by earlier observations that organotin oxygen compounds differ markedly from organic and organosilicon analogs. The authors show that these distannoxanes readily form …
This paper examines the disperse structure of natural graphite ground for different durations, addressing limitations of adsorption, sedimentation, and conventional wide-angle X-ray diffraction for highly dispersed graphite systems. The authors apply small-angle X-ray scattering over a broad angular…
The paper develops criteria for uniform and absolute convergence of Fourier series of uniformly almost periodic functions whose Fourier exponents have restricted sets of finite limit points. Its method decomposes such functions into finite or countable sums of almost periodic functions with bounded …
This bibliographic notice surveys recent mathematical publications issued in 1964 and 1965, primarily in Russian translation or Soviet editions, with emphasis on differential equations, integral equations, mathematical physics, operational calculus, stability theory, oscillations, and boundary value…
This study examines triterpenoid genins obtained from acid hydrolysis of ginseng glycosides, focusing on panaxatriol and the more polar genin A5. Using NMR and IR spectroscopy, including comparison with panaxadiol, acetylated derivatives, and oxidized products, the authors assign hydroxyl and carbon…
The paper studies subgroups and normal divisors of the multiplicative group of a division ring, with attention to Sylow subgroups and centrality phenomena. It constructs a 16-dimensional division algebra over its center, a rational function field, whose multiplicative group has two nonconjugate type…
This paper examines the reaction of dialkyltin oxides with Iochich’s reagent as an extension of analogous acetylenic alcohol and silanol syntheses from carbonyl compounds and polydiorganosiloxanes. The authors argue that, unlike carbon and silicon substrates, dialkyltin oxides undergo cleavage of th…
This paper studies first-kind integral equations on a finite interval whose kernel depends on the absolute difference of the arguments, with particular attention to the associated key equation. By comparing solutions on intervals of lengths h and h plus delta, the author derives transformation relat…
This note corrects an inaccuracy in the proof of a theorem from the author’s earlier paper on densely embedded ideals of semigroups, where certain equalities used in Lemma 3 require nonemptiness conditions that are not generally guaranteed. The correction modifies the original construction by adjoin…
This study examines electron-exchange interactions in aqueous copper ammine complexes, motivated by the possible connection between such interactions and the catalytic activity of paramagnetic transition-metal ions. Using proton NMR, the authors measured the dependence of water proton linewidth on c…
This paper develops a theoretical treatment of homogeneous heterogeneous radical chain reactions in extended tubular reactors, focusing on cases where initiation, termination, or side reactions occur at the vessel wall. Using a model reaction scheme and diffusion boundary layer approximations for hi…
This note studies nonlinear differential systems with almost periodic right hand sides and asks when the Fourier exponent module of an almost periodic solution is contained in the module of the system. It gives sufficient conditions based on invariant classes under translations, uniqueness within su…
The paper proposes a method for solving certain boundary value problems in complex function theory when the boundary conditions have analytic coefficients. The method analytically continues the boundary condition from an analytic contour into the complex plane, transforms the problem into a function…
This paper reports the synthesis and characterization of diferrocenylamine and related ferrocenylamines. N-acetyldiferrocenylamine was prepared from the sodium derivative of N-acetylferrocenylamine and bromoferrocene in the presence of cuprous bromide, but conventional hydrolysis failed, while contr…
This paper studies Engel elements, generalized central elements, and radical structures in groups embedded in PI-algebras, with applications to matrix groups and locally bicompact topological groups. It proves that for subgroups of PI-algebras over commutative rings, nil-elements coincide with the l…
This note studies the structure of error-correcting codes for asymmetric channels over a finite field, where only a specified subset of symbols is subject to distortion. It defines admissible asymmetric errors, introduces an associated distance for pairs of signals, and proves a necessary and suffic…
The paper studies the derivability problem for predicate calculi without function symbols, focusing on formulas and sequents containing only unary predicate variables. It constructs explicit algorithmic transformations from a previously established undecidable class of sequents to several restricted…
