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 note gives a description of the irreducible unitary representations appearing in the decomposition of the regular representation of the group of unimodular third order complex matrices preserving a Hermitian form of signature two, one. It realizes representations through operators on functions …
This paper refines a theory of wind-wave development by separating the dissipation of wave energy from the dissipation of momentum caused by internal turbulent exchange in water. Using the theorem of angular momentum, corrected expressions for wave energy, and a turbulent-friction term, it derives a…
This study examines isotopic exchange between symmetrical aromatic organomercury compounds and metallic mercury labeled with Hg-203 as a model for reactions of organomercury compounds with metals. The authors measured exchange rates in organic solvents under controlled stirring and temperature, isol…
This review reports the main results obtained in the study of total Rayleigh scattering of light and the fine structure of the scattered-light line in pure liquids. The broad range of issues arising in the study of depolarized light scattering in liquids (the wing of the Rayleigh line), light scatte…
The paper studies best uniform approximation on the real axis of almost-periodic functions by entire functions of finite exponential degree. For functions whose Fourier exponents are lacunary with ratios bounded below by a number greater than one, it proves that the remainder after truncating the Fo…
This paper investigates the synthesis and optical properties of di- and tetramethinemerocyanine dyes bearing electron-donating substituents in the alpha position of the polymethine chain. The authors prepare alkoxy-substituted merocyanines from ethoxyethylidenerhodanine derivatives and heterocyclic …
This paper examines isotope separation caused by differential attenuation of a mixed atomic or vapor beam passing through an electron ionization region where the resulting ions are removed. A simple model predicts that, if isotopes have similar ionization cross sections, the transmitted neutral flux…
This note formulates the contact problem for a punch resting on an elastic foundation with a homogeneous axisymmetric kernel, reducing the determination of the unknown pressure distribution to a system of dual integral equations. It then treats the case in which the modulus of elasticity of the half…
This study examines the mechanism by which 2-mercaptobenzothiazole accelerates sulfur vulcanization of natural rubber and sodium-butadiene rubber. Using 2-mercaptobenzothiazole labeled with sulfur-35 in the thiazole ring, the authors measured accelerator attachment radiometrically in parallel with s…
The paper studies eigenfunction expansions arising from boundary value problems for the hyperbolic equation with variable coefficient \(\psi_{\sigma\sigma}-K(\sigma)\psi_{\theta\theta}=0\), reduced by a change of variables to a Klein-Gordon type equation on a finite interval with separated boundary …
This paper addresses the three-dimensional development of electron-photon cascade showers, focusing on angular and spatial particle distributions at the shower maximum, where analytic treatments were limited or computationally cumbersome. The authors propose a moment-based approximation in which the…
This paper examines the acid-catalyzed anionotropic rearrangement of 2,6-dimethylocta-2,4,7-trien-6-ol, a polyene alcohol related in carbon skeleton to linalool. The authors synthesize the trienol via lithium acetylide addition to 2-methylhepta-2,4-dien-6-one followed by partial hydrogenation, and c…
This paper examines the synthesis of tetrakis trialkyl and aryl siloxy titanium compounds of the general type by transesterification of alkyl orthotitanates with trialkyl or triaryl silanols. Using small amounts of metallic sodium as catalyst, the authors obtained several titanium organosilicon deri…
The paper studies best uniform approximation of continuous Hilbert space valued functions by families of linear operator values \(A(q)x\), motivated by approximate solutions of systems of differential equations with boundary conditions. It extends earlier results from bounded operator functions to c…
This study examines whether ethylene participates in chain initiation and growth during hydrocarbon synthesis from carbon monoxide and hydrogen over a cobalt thorium catalyst, a question relevant to evaluating alcohol dehydration condensation mechanisms of the Fischer Tropsch type process. The autho…
This paper examines the composition of resin acids in Scots pine oleoresin and argues that neoabietic acid is a primary constituent. Crystalline resin acids were fractionated through sodium and diethylamine salts, with levopimaric acid removed in one procedure by maleic anhydride, followed by repeat…
Participation in the International Congress on Universal Constants in Turin in the autumn of 1956 and visits to the main laboratories allowed us to form a fairly complete picture of the state of Italian physical science and, at the same time, to become acquainted with the organization of universitie…
This paper extends Pólya’s theorem to entire functions of exponential type defined on isotropic vectors in three complex variables and associated with harmonic functions in three-dimensional space. Using integral inversion formulas relating the entire function to its corresponding harmonic function,…
This study examines the antitubercular activity of alkyl esters of alkanethiosulfonic acids and alkyl esters of benzenethiosulfonic acid and its derivatives, compounds whose activity against Mycobacterium tuberculosis had been little investigated. Using in vitro assays on a virulent human-type tuber…
Nuclear beams extracted from accelerators of various types are usually unpolarized, i.e., the spin directions of the particles in such beams are randomly distributed. Recently, a considerable number of experiments have been performed with polarized beams, in which the spins of the nucleons have a pr…
This paper develops regularities for calculating physicochemical properties of hydrocarbons from chemical structure, extending earlier bond contribution equations for alkanes. It shows that branched alkanes, and more generally hydrocarbons containing alkyl radicals attached to a fixed structural nuc…
The study examines how chromium concentration affects the optical absorption spectra of mixed aluminum potassium and chromium potassium alums in crystals and solutions, with attention to possible interactions between absorption centers and deviations from Beer’s law. Absorption spectra were measured…
This paper examines whether magnetic fields can explain the frequent bipolar structure of planetary nebulae, especially paired brightness maxima or “caps” located along the minor axis. Using photographic examples and positional comparisons, it argues that the general Galactic magnetic field is unlik…
This paper proves a completeness theorem for the eigen and associated elements of a completely continuous operator in a Hilbert space, written as T = A + iB with self-adjoint semidefinite real and imaginary parts. Assuming that B has finite trace, the argument shows that the root elements correspond…
This note studies a finite-difference analogue of a linear incompressible system involving velocity, pressure, and a bounded matrix operator, with Cauchy and mixed boundary conditions. It develops discrete gradient, curl, and divergence operators on staggered lattice subsets and proves finite-differ…
The paper studies local and global properties of completely continuous vector fields on real Banach spaces, using local degree, regular points, regular differentiability, openness, and local topological behavior. It establishes criteria under which regular points imply openness, describes local prei…
The paper develops a general framework for classes of generalized functions, starting from the Mikusinski and Korevaar approach and parameterizing the construction by a class of growth estimates. It defines fundamental sequences, equivalence classes, differentiation, strong and weak convergence, and…
The paper studies operator functions on a Hilbert space equipped with an indefinite metric defined by a fundamental symmetry, focusing on two-sided J-nonexpansive operators and their analytic dependence in the unit disk. Using transformations that relate such operators to contractions, together with…
The study examines the reaction of cyclopentadienyllithium with benzylpyridinium chloride, initially expected to give benzyl-substituted cyclopentadienes. Instead, a crystalline compound of formula C17H15N was isolated and characterized by elemental analysis, molecular-weight determination, hydrogen…
The study of the solid component of interplanetary matter is carried out by direct methods (using rockets) and indirect methods. By indirect methods we shall mean astronomical methods for studying meteoroid bodies entering the Earth’s atmosphere from interplanetary space, as well as various methods …
This study examines how the effectiveness of fluorescence quenchers is related to the position of the fluorescence spectrum in substituted phthalimides. Fluorescence lifetimes were measured with a phase fluorometer for solutions containing iodide salts, aniline, or diethylaniline in various solvents…
This paper studies the arithmetic complexity of solving the finite difference approximation to the Poisson equation on a square with Dirichlet boundary conditions. Assuming precomputed discrete Green functions for dyadic subsquares, it constructs a multilevel decomposition of the right hand side and…
This note studies the Cauchy problem for a second-order parabolic equation in which a small positive parameter multiplies the highest derivative, with initial data that may have a jump discontinuity at the origin. As the parameter tends to zero, the limiting first-order equation loses smoothness alo…
This study examines the relationship between microstructure and stress corrosion susceptibility in magnesium alloys of the Mg-Al-Zn-Mn type, focusing on the role of aluminum and the formation of supersaturated solid solutions and Mg4Al3 precipitates. Using an extruded Mg, 8 percent Al alloy as a mod…
This study examines the rheological behavior of aqueous solutions of glycerin, sucrose, and xylitol under very low shear stresses, with attention to deviations from Newtonian flow. Using a highly sensitive Shvedov elastoviscometer, the author records deformation as a function of time and stress for …
This note studies upper bounds for the sum of two Nevanlinna defects of a meromorphic function in the finite plane whose order is less than one. Reducing the question to the defects at zero and infinity, it estimates the characteristic function through canonical products and proves an auxiliary inte…
This paper investigates the nuclear isomerism of Hf-180m, focusing on the multipolarity of the 57.6 keV transition from the 1142.9 keV metastable level. Using beta spectrometry and scintillation gamma spectrometry, the authors measured L-shell internal conversion coefficients, compared conversion el…
This study uses oxygen isotope tracing to examine mechanisms proposed for anodic persulfate formation during sulfate electrolysis and for subsequent persulfate hydrolysis. Electrolysis experiments with potassium bisulfate, added hydrogen peroxide, and oxygen 18 enriched water showed that hydrogen pe…
This paper addresses the origin of silicate chondrules in stony meteorites and critiques explanations based on molten droplets produced by planetary breakup or asteroid collisions. The authors argue instead that chondrules may have formed in the protoplanetary gas and dust cloud through low temperat…
The paper studies the existence of absolute minimizers for two-dimensional parametric variational problems on differentiable manifolds, extending earlier results for Euclidean space and for the Plateau problem in Riemannian manifolds. It defines admissible surfaces of Tonelli type and considers posi…
This paper investigates direct conversion of cycloheptatriene and related compounds into the aromatic tropylium system by removal of hydrogen with an electron pair, as an analogue to formation of the cyclopentadienyl anion. The authors examine reactions of cycloheptatriene with several electrophilic…
The paper introduces a generalized notion of concavity for positive monotone operators acting on cones in a real Banach space, using two nested cones and a distinguished positive element. It proves, by topological methods, that completely continuous operators in this class have a continuous branch o…
This paper examines how adsorption kinetics affect the wetting and capture of dust particles by sprayed aqueous surfactant solutions. Comparing dynamic surface tension measured at short interface lifetimes with static equilibrium values, the authors show that surfactants with similar low static surf…
This note studies uniqueness for a mixed initial boundary value problem for certain systems of linear partial differential equations on a half line, where the spatial operator is a polynomial in an nth derivative and the boundary conditions prescribe selected derivative traces at the origin. Extendi…
