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 estimates the epsilon entropy in the L2 metric for two classes of periodic complex-valued functions of several variables, defined through restrictions on their Fourier coefficients: the Sobolev-type classes W_s^alpha(B) and the coefficient-bounded classes E_s^{alpha,k}(B). Using Kolmogoro…
This letter revisits a previously published proof of uniqueness for the symmetric solution of the large deflection problem for a symmetrically loaded circular plate. It notes that the earlier argument, based on the Hildebrandt-Graves theorem, established only local uniqueness, and supplies an additi…
This paper examines why polarographic catalytic and kinetic waves limited by a preceding chemical reaction show a decrease in current at more negative potentials. It argues that the observed wave shape results from the changing adsorption of the electrochemically inactive catalyst form on the mercur…
This paper proposes catalytic cracking of dioxyarylalkanes over aluminosilicate catalysts as a route to vinylphenols, a class of reactive monomers whose synthesis had been difficult or only slightly studied. The authors examine the cracking of 1,1-(4,4-dioxy)-diphenylethane, its dimethyl analogue, a…
This note develops a scheme for applying harmonic analysis, specifically Bohr almost-periodic functions, to the spectral analysis of completely continuous linear operators in weakly complete Banach spaces under a boundedness condition on the group \(e^{iAt}\). For each vector and functional, the sca…
The study examines how solution acidity affects the anodic dissolution and cathodic deposition processes of indium amalgam in perchloric acid solutions. Using polarization measurements combined with a radiochemical method on a stationary 0.1 M indium amalgam electrode, the authors measured true anod…
This paper examines the nucleation and growth of brittle fracture cracks in plastically deformed metallic single crystals, emphasizing the distinction between slow development of stable embryonic cracks and rapid propagation after loss of equilibrium. The authors extend a dislocation-based energy ar…
This paper studies real polynomials of degree n that deviate least from zero on the interval [-1, 1] when an arbitrary number of leading coefficients is prescribed, extending the classical Chebyshev, Zolotarev, and Akhiezer cases. Using conformal mappings of fundamental domains onto half-strips, it …
This study examines the reduction of stoichiometric manganese ferrite by hydrogen and by graphite, including the effect of potassium and sodium carbonate additives. Ferrite prepared by sintering iron and manganese oxides in carbon dioxide was reduced under controlled conditions, with reaction progre…
This paper examines reactions of aldehydes and ketones, especially halogen-substituted carbonyl compounds, with amides of phosphorous acids. Extending earlier work on phosphorous esters and anilides, the authors propose that diethylamides of phosphorous acids react through nucleophilic attack by pho…
This paper examines how semiconducting oxide films affect the electrochemical behavior of metals in aqueous electrolytes under ultraviolet irradiation. Measurements of electrode potentials and potentiostatic polarization for metals bearing natural or thickened oxide films show that the direction and…
This paper extends V. A. Markov’s extremal problem for polynomials least deviating from zero under a linear normalization to generalized polynomials generated by regular Chebyshev and Chebyshev, Markov systems. It gives necessary and sufficient conditions for a nondegenerate solution in terms of dev…
This study examines how chromium content affects the electrochemical and corrosion behavior of iron-chromium alloys, with particular attention to the often cited 13 percent chromium boundary for corrosion resistance. Using potentiostatic measurements combined with colorimetric determination of disso…
This paper describes an early algorithmic approach to modeling aspects of musical composition on an electronic digital computer. Treating composition as a partly formalizable control process, it specifies rules for generating a monophonic instrumental piece in three-part ABA form, including constrai…
This paper studies a thermoconvective boundary-contact problem with concentrated capacity, motivated by heat injection through a unit well into a thermally anisotropic reservoir. Using Laplace, Carson, and Fourier, Bessel integral transforms, it reduces the governing parabolic equations and contact …
This paper investigates the synthesis and reactions of unsaturated ether acetals, thioether acetals, and mercaptals containing conjugated enyne systems. Ethynylvinyl ethers and thioethers were converted through magnesium-organic complexes and ethyl orthoformate into diethyl acetals of substituted pe…
This paper investigates galvanomagnetic phenomena in electron-type indium antimonide under pulsed magnetic fields strong enough to make quantum effects important. Hall effect, transverse magnetoresistance, and longitudinal magnetoresistance were measured for five n-InSb samples with different carrie…
This paper develops general kinetic equations for nonchain monomolecular radiation-chemical reactions involving an initial substance with two possible excited states and multiple decomposition pathways. Using stationary-state balances for excited species, it derives rate expressions for small, mediu…
This paper studies eigenfunction expansions for a class of non-self-adjoint boundary-value problems for functional integro-differential equations with retarded arguments, bounded-variation boundary terms, and Volterra-type kernels. It constructs a mutually adjoint pair of problems, proves that their…
This note studies extremal limit values of Stieltjes integrals with variable moment data under the conditions of A. A. Markov, extending the theory of principal and canonical representations in Chebyshev systems. It analyzes how canonical representations of index n plus 2 change when the moments var…
This paper examines the compensation effect in chemical kinetics, the observed correlation between the Arrhenius pre-exponential factor and activation energy, especially in condensed phases and catalytic processes. After reviewing limitations of earlier explanations, the authors develop a statistica…
This study examines how the beta radiation of sulfur-35 labeled barium sulfate affects its dissolution kinetics and apparent solubility in water. Radioactive barium sulfate preparations of varying specific activity were precipitated under different reagent conditions, then stirred with water at 20 d…
This paper analyzes nonlinear energy exchange between a helical electron beam and the field of an unretarded H01 wave in a circular waveguide, a problem relevant to millimeter wave generation. Using a Hamiltonian formulation, the author derives integrals of motion, transforms to action phase variabl…
This paper examines whether aromatic amine ligands alter the coordination number and crystal structure of cadmium halide addition products, a question motivated by molecular orbital arguments about bonding in transition metal complexes. The authors synthesize and analyze cadmium iodide dianiline, Cd…
This paper develops a perturbation method for finding eigenvalues and eigenvectors of a non-Hermitian vibration operator of simple structure, motivated by applications to polyatomic molecular vibrations where standard Hermitian quantum-mechanical perturbation theory is not directly applicable. The a…
This paper reports measurements of the x-ray photoelectric quantum yield of tungsten, nickel, and beryllium metallic cathodes for wavelengths from 1.39 to 13.3 Å as a function of grazing incidence angle. The experiments show a sharp increase in yield as the angle decreases, with an approximate cosec…
Cesium halide vapors were examined by mass spectrometry to determine whether they contain associated molecules and to measure the dissociation energies of the corresponding dimers. Using an MS-4 mass spectrometer with a double effusion chamber, the study recorded ion currents for cesium fluoride, ch…
This study examines how potassium bromide and tetraalkylammonium bromides influence the differential capacitance of the mercury double layer in aqueous butyl alcohol solutions. Measurements were made with a dropping mercury electrode by an impedance bridge method at 750 cps, varying electrolyte conc…
This paper examines how spatially structured liquids with high effective viscosity, such as bitumens and tars, behave during emulsification with aqueous solutions of hydrophilic surfactants. Using bitumen B-5 and related systems, the authors compare direct and inverse emulsion formation as a functio…
The paper addresses the problem of determining absolute elevations of the Antarctic ice dome, where conventional leveling is impractical and barometric methods are distorted by pressure anomalies associated with the cold air layer. It proposes and tests an aircraft-based method in which flight altit…
This paper studies growth estimates for solutions of a first order matrix system with nonhomogeneous boundary conditions on a strip, under spectral assumptions on the coefficient and boundary matrices. Using contour integral representations, estimates for a matrix kernel, and residues at poles assoc…
This note studies whether solvability and radicality of certain infinite groups are preserved under structural isomorphisms of subgroup lattices. Using criteria involving Dedekindian elements, periodic normal subgroups, and induced structural isomorphisms on factor groups, it proves that every struc…
This paper isolates a class of Kawaguchi spaces whose metric function is a homogeneous expression in derivatives of a curve up to order nu and whose leading skew-symmetric tensor admits a nonzero invariant. For these spaces, denoted L_n^nu, the author constructs a symmetric affine connection from th…
This study examines the alkaline cleavage of mono- and diquaternary salts of 1,4-di(dimethylamino)-2-methylbutene-2 to determine the course of formation of conjugated dienamines. By comparing cleavage products from iodide, phenylammonium, and butynylammonium salts under aqueous alkali and vacuum con…
This note studies external bases for subspaces of bicompact spaces using separating systems and relative bases. It proves that if \(X\) is a Borel set of type \(G_{(\tau)}\) in a bicompactum \(\Phi\), and \(X\) has a network of cardinality \(\tau\), then \(X\) has an external base in \(\Phi\) of the…
The paper examines the acid-induced rearrangement of 1,2′-hydrazonaphthalene, with particular attention to the unexpected formation of appreciable amounts of 4-amino-1,2′-dinaphthylamine, an n-semidine. Experiments varying acid, concentration, solvent, and phase conditions show that when most of the…
This study reports the synthesis of previously undescribed aryl esters of methane- and ethanethiosulfonic acids and evaluates their antimicrobial properties. The compounds were prepared by reacting sodium salts of the corresponding alkanesulfinic acids with arenesulfenyl chlorides bearing hydrogen, …
This paper reports the appearance of broad, nonselective infrared absorption backgrounds when various vapors are adsorbed on solid adsorbents such as alumogel, oxides, silica, and calcium fluoride. Measurements across multiple adsorbent and adsorbate systems show that the decrease in transparency de…
This study examines the action of mercamine and hydroquinone on methyl oleate oxidation as a model for lipid oxidative processes associated with radiation injury. By comparing peroxide and oxide accumulation during oxidation, including additions before reaction onset and after peroxide buildup, the …
This paper examines the possible existence of cis and trans forms of diaquo-bis-dimethylglyoximatocobaltic salts, prompted by unexpected differences in absorption spectra of related hydroxo and dihydroxo cobalt dimethylglyoxime complexes under acidic and alkaline conditions. Using spectrophotometric…
The paper studies complex envelopes of compact homogeneous spaces associated with a connected compact Lie group and a connected closed subgroup. It constructs the complex envelope as a homogeneous space of the complex envelope of the group, proves extension results for representations and covariant …
The paper derives explicit representations for zeros of Dirichlet polynomials and quasipolynomials of exponential type, refining earlier results that gave only bounded remainder terms. It constructs the bounded correction for Dirichlet polynomial zeros by analytic continuation of implicit-function b…
This paper studies unique determinacy and flexibility of convex surfaces homeomorphic to an open disk, especially surfaces whose completion to the boundary of the convex hull is a planar convex domain. It formulates the problem in terms of gluing planar domains to the boundary curve and proves that …
The paper extends number-theoretic quadrature methods for multiple integrals from periodic function classes to nonperiodic functions with bounded mixed derivatives on the unit cube. It shows that, after a smooth change of variables with vanishing endpoint derivatives, suitable lattice rules achieve …
This paper studies regularity of generalized solutions to the stationary linearized and nonstationary nonlinear Navier-Stokes equations in a bounded smooth domain. For the stationary problem it derives a pressure representation and obtains estimates implying existence and smoothness properties for d…
This paper studies stationary groups of motions of spaces with affine connection, focusing on the local action near a fixed point through normal coordinates and geodesic development. It introduces a two-variable vector function measuring the development of geodesic broken lines and uses its equivari…
This paper analyzes vibrational relaxation in an isolated system of harmonic oscillators, motivated by nonequilibrium vibrational processes in reacting and shock-heated gases. Using gas-kinetic rate equations with one-quantum transitions, it distinguishes between vibrational quantum exchange in osci…
This paper develops a treatment of spontaneous crystallization from supersaturated solutions of dissociated salts by modifying classical nucleation expressions to use the concentrations, or activities, of the dissociated ions rather than the total salt concentration. The authors derive relations bet…
This study examines the electrical properties of metal inner-complex compounds, chiefly acetylacetonates and oxyquinolates of beryllium, aluminum, zirconium, thorium, and related metals, to determine whether large differences between molar and electronic polarization arise from anomalously high atom…
