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 analyzes current-driven convection of a low-pressure positive column in a magnetic field under conditions where charged-particle mean free paths and the ion Larmor radius exceed the tube radius, making ion inertia and ambipolar-field transport important. Starting from kinetic equations fo…
The paper examines the relation between band absorption and discrete exciton absorption in x-ray spectra of atoms in polar crystals, using chlorine, potassium, and related spectra in LiCl, NaCl, KCl, RbCl, and AgCl. The authors compare corrected x-ray emission and absorption edges with ultraviolet a…
The paper examines the use of disproportionation reactions as a synthetic route to organosilicon polymers, focusing on polyphenylenesilanes derived from bis, alkylalkoxysilyl benzenes. Heating these monomers with catalytic nucleophilic reagents such as potassium hydroxide or sodium ethylate led to e…
This paper addresses unresolved features of the titanium aluminum phase diagram, especially the existence of intermediate compounds or related phases between 0 and 40 atomic percent aluminum. Forty alloys were prepared at 1 percent composition intervals using high purity starting materials and cruci…
The paper develops a geometrical-optics approach to natural oscillations in open resonators by representing field localization through caustic surfaces and imposing phase quantization conditions, including caustic phase jumps. It analyzes ray families inside a reflecting triaxial ellipsoid, classifi…
This paper studies factorization of finite groups using indexials associated with invariant and normal series, extending earlier criteria based on the orders of principal-series factor groups. It defines indexial systems for factorizations of the factor groups in an invariant series and introduces s…
This paper develops a numerical procedure for calculating one-dimensional cylindrical and plane blast-wave flows in an ideally conducting perfect gas, including the effects of finite back pressure and an imposed magnetic field. The magnetohydrodynamic equations and shock conditions are transformed i…
This paper studies when a densely defined linear operator in \(L_2(\Omega)\) can be represented as an integral operator with a Carleman kernel, addressing the representability formulation of von Neumann’s problem for the full class of such kernels. It first proves that an operator is of Carleman typ…
This paper examines the mechanism by which vapor or gas bubbles detach from a nonwettable horizontal plane, especially at large contact angles where the classical Fritz formula may overestimate the detachment size. Using a variational energy formulation for the axisymmetric bubble shape with fixed v…
The paper studies the circuit complexity of Boolean operators, especially linear Boolean operators, over the basis consisting of addition modulo 2, conjunction, and constants. It proves that the complexity of any Boolean operator is at least the complexity of its linear part, and uses this to reduce…
This paper studies conditions under which two Gaussian distributions generated by a stationary process on a finite interval are mutually absolutely continuous, and how to express the Radon, Nikodym density between them. After recalling the known criterion for equal covariance functions and differing…
The paper studies expansion in only one half of the eigenfunctions and associated functions of a non-self-adjoint ordinary differential operator of order 2m with boundary conditions at two endpoints and coefficients polynomial in the spectral parameter. The argument reduces the completeness question…
This paper develops an approximate formulation for the motion of spatial diffusing vortex tubes of small cross section in an unbounded incompressible viscous fluid, motivated by vortex flows behind wings and propeller blades. The approach assumes that the tube axis moves with the true induced veloci…
This paper examines the statistical distribution of magnetic susceptibility and remanent magnetization in igneous rocks, treating these parameters as random variables shaped by variable crystallization and ferrimagnetic mineral content. Using logarithmic transformation and tests based on standardize…
This study examines the mechanism of structure formation during gelation in purified isoelectric gelatin solutions. Gel strength was followed through the limiting static shear stress using a tangentially displaced plate method, while optical rotation measurements were used to relate mechanical devel…
This paper develops a theory of diffusional aerosol deposition in fibrous filters for the case where neighboring fiber surfaces are separated by gaps small compared with the fiber diameter, a regime not covered by earlier dilute-cylinder models. Using lubrication hydrodynamics for flow through narro…
This study examines the long-disputed nature of isomerism in diazocyanides, contrasting the earlier geometrical interpretation with a structural nitrile, isonitrile formulation. The authors compare chemical behavior and infrared spectra for three pairs of substituted phenyldiazocyanides, measuring a…
This study examines the catalytic behavior of zirconium phosphate in model reactions involving dehydration, isomerization, esterification, alkylation, ketonization, and dehydrogenation. Two preparations with markedly different surface areas and acidities were compared, showing that the more acidic, …
Photoemission from dilute sodium and cesium amalgams was measured over specified concentration ranges and between 25 and minus 80 degrees Celsius, extending earlier work on potassium amalgams. The authors compare concentration dependences of photocurrent, electron work function, and surface tension,…
The paper studies the number of limit cycles that can bifurcate from a singular point of focus or center type in a planar differential system with cubic homogeneous nonlinear terms. By reducing the system to a normal form, analyzing the succession function in polar coordinates, and using center cond…
This paper derives a kinetic equation for a spatially homogeneous nonideal degenerate Bose gas using the Bogoliubov and Gurov method, with the condensate separated by quasiaverages and the noncondensed operators transformed to quasiparticle variables. The calculation introduces a small parameter exp…
This paper develops a method of characteristics for calculating three-dimensional steady supersonic gas flows around blunt bodies with a detached shock wave, under the assumption of constant total enthalpy. It formulates an iterative construction for computing an individual point from an elementary …
This paper studies univalence criteria for a finite class of meromorphic functions expressed as sums of principal parts with poles away from the origin. Under the assumption that the arguments of the ratios of coefficients to the corresponding pole powers are constant, the author proves that such fu…
The paper proposes a possible mechanism of superconductivity in metals, semiconductors, films, or molecular crystals containing embedded molecules. By analogy with the Fröhlich electron phonon mechanism, it argues that conduction electrons can experience an effective attraction through virtual excit…
The paper examines the low formation cross sections encountered in synthesizing heavy transuranium elements by heavy-ion irradiation, emphasizing the loss of yield caused by neutron evaporation and competing fission in highly excited compound nuclei. Using approximate calculations of Coulomb barrier…
This paper examines chemical interaction and thermal stability in liquid Ge-Te, Sn-Te, and Pb-Te binary systems, focusing on compounds of the type GeTe, SnTe, and PbTe relevant to thermoelectric materials. Using physicochemical analysis, the authors measured viscosity and electrical conductivity of …
This study examines whether the porous structure of solid acidic catalysts influences the acid heterogeneous isomerization of alpha-pinene and the distribution of bicyclic, tricyclic, and monocyclic terpene products. Aluminosilicic acids deposited on silica gel supports with different pore radii, po…
This paper studies omega-limit sets generated by iterates of a continuous self-map of a compact space, focusing on the structure of attracting sets and the sets of points attracted to them. It establishes intrinsic characterizations of the map restricted to an omega-limit set, including criteria imp…
This note studies conjugate functions, defined through the Wiener space framework and Fourier transforms, for entire functions of finite exponential type. Using the Wiener, Paley representation, it shows that the conjugate of an entire function of type at most sigma satisfying the Wiener integrabili…
This study examines radiation polymerization of vinyl oleate in relation to the phase state of the monomer, with particular attention to polymerization in a liquid-crystalline medium where molecular orientation is retained without the stresses of a true crystal lattice. Thermographic and polarizing …
This paper analyzes the formation and decay of negative ions in low-temperature plasma through charge transfer between an atom and an excited atom, a mechanism distinct from dissociative attachment. Using a quasimolecular treatment of slow atomic collisions, it derives an asymptotic expression for t…
High-resolution proton NMR spectra were measured for a series of mono- and heteroannular disubstituted ferrocene derivatives to examine how substituents affect hydrogen atoms in different positions of the cyclopentadienyl rings. The spectra are classified according to substituent electronic characte…
This study examines how electron donors and acceptors deactivate the excited singlet and triplet states of magnesium phthalocyanine in deoxygenated dioxane solution. Using flash photolysis to follow triplet, triplet absorption at 470 nm and separate fluorescence quenching measurements, the authors c…
The paper studies asymptotic best approximation by algebraic polynomials in the space \(L_q(-1,1)\), \(q \geq 1\), for functions with algebraic singularities of the form \((x-c)^{r-1}|x-c|^{1+\alpha}\). Extending Bernstein’s method beyond the uniform and \(L_1\) cases, it proves that the best approx…
This paper investigates catalytic reduction of the carbonyl compound fluorenone by the NADH model 2,6-dimethyl-3,5-dicarboethoxy-1,4-dihydropyridine. Experiments in alcoholic sodium ethoxide under inert atmosphere show that fluorenone is not reduced by the dihydropyridine alone or by sugars alone, b…
The paper studies saddle surfaces in Euclidean space bounded by a rectifiable curve, focusing on isoperimetric estimates for simply connected domains. It proves that a simply connected saddle surface in the plane satisfies the inequality \(4\pi S - l^2 \le 0\), where \(S\) is area and \(l\) is bound…
This paper addresses the reduction of Hermitian operator matrices that commute with a group of unitary symmetry operators, with motivation from kinetic and potential energy operators in molecular vibration theory. It considers a space decomposed into subspaces of equivalent coordinates and shows tha…
This bibliographic section compiles recent Soviet publications from early 1965 concerning differential equations and related areas of mathematical analysis, numerical methods, stability theory, control, integral equations, spectral theory, and mathematical physics. The entries list journal articles,…
This note studies how local best approximation of functions by algebraic polynomials reflects smoothness properties in spaces such as Lp, C, and bounded functions on intervals. It introduces generalized r-oscillations and proves their equivalence, up to constants, with best approximation by polynomi…
This note studies division and factorization of Laurent series convergent in an annulus, with attention to subannuli determined by the zeros of the divisor and to the associated principal index. It derives a canonical representation of a zero-free Laurent series in an annulus as a monomial times a c…
This study examines the photochemical hydrobromination of allyl chloride with hydrogen bromide in glassy and crystalline mixtures irradiated at 77 K and then warmed. Using gas chromatography and differential thermal analysis, the authors identify 1-chloro-3-bromopropane as the principal product and …
This note refines a general extension theorem for continuous functions by treating bounded real Hölder-continuous functions defined on closed subsets of an arbitrary metric space. It proves that such a function can be extended to the whole space without increasing the maximum of its modulus, while p…
The paper examines the reaction of barene and substituted barenes with amines, challenging earlier interpretations that stable amine adducts are formed without degradation of the boron cage. Experimental reactions with piperidine and other amines in hydrocarbon and alcoholic media show cleavage of t…
This paper investigates the relationship between the Barkhausen effect and residual magnetization in nickel, focusing on how irreversible remagnetization processes are reflected in hysteresis behavior. Measurements on nickel wire specimens under tensile stress compared the number of Barkhausen jumps…
This paper studies a two-level model in which a regulating device alters the game interaction among a population of two-action automata so that the average fraction choosing one action approaches a prescribed value. Using computer simulations of 50 automata with linear tactics, the authors test a co…
This paper develops an analytic stability criterion for plane Chapman Jouguet detonation in an ideal gas using Shchelkin’s model of a shock followed at finite distance by an instantaneous reaction front. Linearized jump conditions, a kinetic delay condition, and boundedness of perturbations are comb…
This paper analyzes how lateral “noise” radiation, consisting of amplified luminescence and scattered generation, affects the operation of a ruby optical quantum generator. The authors develop a calculation method that uses experimentally measured metastable-level populations and relative pump inten…
