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 diffraction of a surface electromagnetic wave by a perfectly conducting wedge adjacent to an anisotropic dielectric, with attention to the amplitude of the reflected surface wave. The fields are represented by Fourier integrals, boundary conditions on the dielectric interface and…
This note studies sufficient coefficient conditions for almost everywhere convergence of orthogonal series, refining the classical Menshov and Rademacher logarithmic criterion. The author introduces a dyadic decomposition method whose subdivision points depend on a functional of the coefficients, yi…
The paper develops embedding theorems for mixed norm and weighted classes of abstract functions obtained by viewing functions on Euclidean space as functions of separate vector variables. It defines analogues of Sobolev, weighted Sobolev, and Besov type spaces with two integrability exponents, inclu…
This study examines whether divalent silicon chloride, dichlorosilylene, is formed as an intermediate in the reaction of silicon with cuprous chloride at temperatures relevant to organochlorosilane synthesis. Using a modified MI-1305 mass spectrometer, the authors compared spectra of silicon tetrach…
This study examines the chemical properties and reactivity of ferrocenyl diazonium species generated by acidolysis of benzenediazoaminoferrocene, with emphasis on azo coupling, triazene formation, and reactions with active methylene compounds. Low-temperature reactions with phenol, dimethylaniline, …
This paper examines whether the alternation tendency in styrene and 2-vinylpyridine copolymerization can be regulated by changing the polarity of the 2-vinylpyridine double bond through hydrogen bonding with proton donor additives. The authors argue that additives of different acidity form complexes…
This paper studies the distribution of zeros of solutions of real linear ordinary differential equations on a finite interval, introducing classes of operators defined by the absence of solutions with prescribed multiple zeros at two points. It develops comparison and nonoscillation results for self…
This paper examines the applicability of Hilbert’s small-parameter method for solving the kinetic Boltzmann equation and its relation to hydrodynamic approximations. By analyzing the recurrent integral equations and their solvability conditions, it argues that Hilbert’s general formulation yields a …
This study examines the origin of positive birefringence in polypropylene spherulites, where molecular chains are oriented nearly perpendicular to the radial fibrils. The authors interpret the observed optical behavior as a combination of negative intrinsic birefringence of polymer chains and form b…
The study examines the stereochemistry of peracetic acid oxidation of geometric isomers of 13-methyl-7-acetoxy-dodecahydrophenanthrene-1,2-dicarboxylic acids, their diesters, and corresponding anhydrides. Oxidation experiments and subsequent transformations, including saponification to lactone acids…
The study examines the electrochemical recharging of hexachloroiridate complexes, IrCl6 2− and IrCl6 3−, in 1 M hydrochloric acid on a platinum electrode. Using galvanostatic transition-time curves, the authors analyze cathodic and anodic processes, determine diffusion coefficients, and assess wheth…
The paper reports synthetic studies aimed at developing rational routes to 5a,6-anhydrotetracyclines, intermediates relevant to the preparation of natural tetracyclines. Starting from substituted ketols, the authors prepare unsaturated ketones, introduce carbon chains by Michael condensation with ma…
This note studies the stability-related equations of a linear controlled process when the parameters of both the controlled object and the automatic control system vary slowly in time. Extending earlier work that assumed distinct and well separated eigenvalues, it treats the case in which eigenvalue…
The study examines the unexpected reaction of tropylium bromide with tert-butyl alcohol, a tertiary alcohol that was initially expected not to undergo hydride-transfer reactions analogous to those observed with primary and secondary alcohols. Experiments in aqueous and anhydrous tert-butyl alcohol, …
This paper studies how restrictions on solvable, noninvariant, Hall, and maximal subgroups constrain the structure of finite nonsolvable groups. It introduces and uses variants of subgroup types \(S\), \(B\), \(C\), \(p\)-decomposability, and a measure of quasinvariance for maximal chains, together …
The paper studies limiting distributions for double-sum functionals of normalized partial sums of independent identically distributed random variables with mean zero and unit variance. Extending results of Skorokhod on one-dimensional functionals, it gives sufficient conditions on a sequence of nonn…
This note studies the sharpness of Bernstein-type criteria for absolute convergence of Fourier coefficients in arbitrary complete orthonormal systems. Using a factorization argument through the coefficient map into l1, the synthesis map into L2, and multiplier operators, together with the theorem of…
This study investigates active chain centers in the cold-flame oxidation of carbon disulfide by molecular oxygen, focusing on the possible formation of atomic oxygen. Using electron paramagnetic resonance in a jet vacuum apparatus, the authors recorded spectra attributed to oxygen atoms under flame …
This study examines the carbonium copolymerization of dimethacrylate-bis-triethylene glycol phthalate with styrene in ethyl chloride at 0°C using titanium tetrachloride as catalyst. Copolymer compositions determined by infrared spectroscopy show enrichment in the unsaturated polyester relative to th…
This study examines whether hydroxyl ions can act not only in acid, base chemistry but also as electron donors toward strong organic electron acceptors. Using electron paramagnetic resonance, potentiometric measurements, and hydrogen peroxide detection, the authors investigated reactions of hydroxid…
The paper studies the stable recovery of a function value from approximate Fourier coefficients in an orthonormal system of eigenfunctions for a second order boundary value problem. Using Tikhonov regularization, it replaces ordinary Fourier summation, which is unstable under errors in the l2 metric…
This study examines a monoclinic crystalline modification of porcine pepsin as a potential object for complete X-ray crystallographic structure determination. Pepsin was purified, crystallized from acidic 20 percent ethanol solution by Northrop’s method, mounted in sealed capillaries, and analyzed u…
This note studies stability of the Bubnov-Galerkin method for nonstationary operator equations in a Hilbert space, including parabolic, hyperbolic, and more general equations with first and second time derivatives. The approximation is formed from a prescribed coordinate system in a Hilbert space as…
This paper studies Cauchy-type problems for first-order hyperbolic systems whose initial data are prescribed on a line of degeneration, a setting in which the usual formulation is generally not well posed. Using modified boundary conditions and transformations to characteristic integral equations, i…
This note develops criteria for completeness of systems of root vectors of compact-related linear operators in Banach spaces and for Abel-type summability of expansions with respect to these systems. It proves completeness theorems under nuclearity, approximation-number, resolvent, numerical-range, …
This paper investigates the long-lived afterglow of aqueous protein and synthetic polymer solutions following X-ray irradiation, motivated by earlier observations of related luminescence after ultraviolet and gamma irradiation. Using a flow-through apparatus with photomultiplier detection, the autho…
This study examines whether quaternary pyrazolinium salts substituted at position 3 can undergo Hofmann cleavage of the pyrazoline ring at a carbon-nitrogen bond, rather than the previously observed nitrogen-nitrogen cleavage leading to aminonitriles. Iodomethylates and iodoethylates of 1,3-dimethyl…
The paper proves an existence theorem for bounded analytic functions of two complex variables, real on the real plane, that cannot be represented on a given planar domain as a finite linear superposition of continuous one-variable functions composed with prescribed continuously differentiable functi…
A covariant method is developed for calculating matrix elements of massive polarized vector particles in arbitrary spin states within the ten-dimensional Duffin-Kemmer formalism. The paper derives general wave-function and projection-dyad expressions for spin projections 1, 0, and -1, and tabulates …
This paper examines conditions under which the free energy of a chemical process can be converted directly into surface energy, producing a change in interfacial area or surface tension. Using the thermodynamics of irreversible processes and Onsager relations, the authors derive a relation between t…
This paper examines the thermal stability and decomposition behavior of ferrocene vapor under static isothermal conditions between 400 and 470 degrees Celsius. The authors measure decomposition kinetics, pressure changes, gaseous products, and solid residues in sealed ampoules, and compare the effec…
The study examines the mechanism by which aryl-substituted silacyclopentanes form from organodichlorosilanes, styrenes, and lithium, focusing on whether biradical or biionic intermediates are involved. By reducing styrene to an equimolar amount and using tetrahydrofuran diluted with inert hydrocarbo…
This note investigates the loss of stability of convex shells of revolution under internal pressure, focusing on the formation of localized bulges arranged along a parallel. Using a geometrical approach, it models the deformation energy as concentrated near the boundaries of small elliptical bulging…
This study examines vapor phase catalytic hydrogenation and hydrogenolysis of beta-furylpropionic and beta-furylacrylic acids over platinized carbon, with attention to how temperature and hydrogen availability affect opening of the furan ring and subsequent transformations. Experiments at 250 to 300…
The paper studies perturbations of a closed linear operator in a Banach space by bounded operators drawn from a commutative Banach algebra that commute with it. It first proves algebraic stabilization criteria for the intersections of kernels with iterated ranges, showing in particular that stabiliz…
The paper studies the Cauchy problem for the three-dimensional Laplace equation after transforming it to complex variables, with holomorphic initial data prescribed on the plane zeta equals zero. It derives series solutions, analyzes their convergence, and gives an integral representation over the s…
This study compares the adsorption activity of a homologous series of fatty acids at solution, air and solution, mercury interfaces, with particular attention to the applicability of Traube’s rule. Adsorption on mercury was examined from electrocapillary curves measured with a Gouy electrometer, whi…
The paper addresses the synthesis of multistable storage elements for digital computing devices using nonlinear four-terminal networks with nonmonotonic amplitude characteristics, aiming to reduce the dependence of circuit complexity on the number of stable states. It formulates the equilibrium cond…
The paper studies systems of equations in words over a fixed alphabet, with variables ranging over words, and addresses Markov’s problem of recognizing whether such a system has a solution. It introduces a formal class of terms built from words, powers, and recursively defined functions, then states…
This paper discusses the use of geometrical methods for constructing phase diagrams of multicomponent metallic systems, where experimental determination of all sections can be laborious. The method is illustrated for an isothermal three-dimensional section of the seven-component Ni, Cr, W, Mo, Nb, T…
This paper addresses the observed saturation of current-carrier drift velocity in piezoelectric semiconductors such as CdS, CdSe, and GaAs when the drift velocity exceeds the speed of sound. It argues that the effect is connected with ultrasonic generation and the resulting acoustoelectric current, …
This note studies estimates underlying probabilistic number theory, especially the second fundamental lemma concerning integers whose component composed of small prime powers exceeds a given bound. Using earlier sieve estimates, the authors derive a sharper bound for this counting function, with dec…
This paper examines the dissolution of iron, chromium, and iron-chromium alloys in sulfuric acid, with emphasis on deviations from conventional electrochemical kinetics. Using polarization measurements, potentiostatic dissolution-rate determinations, and hydrogen-evolution measurements at different …
This paper reports the synthesis of aryl-substituted azetidinethiones-2 as sulfur analogues of aryl-substituted azetidinones-2, motivated by possible changes in chemical reactivity and biological activity after replacement of oxygen by sulfur. The authors treated several phenyl-substituted beta-lact…
The paper studies the distribution of prime numbers in arithmetic progressions modulo powers of a fixed prime, \(D=p^n\), a case where sharper results are sought than for general moduli. It proves that, for \(x \gg D^{8/3+\varepsilon}\), primes are asymptotically equidistributed among reduced residu…
A method is described for preparing optically active aspartic acid through the addition of optically active alpha-phenylethylamine to maleic acid, followed by conversion of the resulting salts to N-phenylethylaminosuccinic acids and catalytic hydrogenation. The reaction gives separable crystalline f…
This paper analyzes short wavelength instabilities localized at inhomogeneous boundaries in rarefied magnetized plasma, focusing on finite width ion beams whose edge gradients may be comparable to the ion Larmor radius. Starting from linearized collisionless kinetic equations with a self consistent …
Electrocapillary behavior of liquid gallium was investigated using a reduced Gouy capillary electrometer with high-purity metal, with measurements in acidic, neutral, and alkaline electrolyte solutions chosen to avoid oxide-film formation and hydrogen evolution. The resulting electrocapillary curves…
