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 generalizes the classical uniqueness theorem for bounded holomorphic functions in the unit disk. It considers sequences approaching a boundary point within a fixed chordal sector, satisfying both the usual divergence condition and a separation condition after conformal mapping to the upper…
The paper addresses the Hardy and Littlewood problem of representing sufficiently large integers in the form of a prime plus two squares. It states an asymptotic formula for the number of such representations, with a specified remainder term, and explains its reduction to equations involving product…
This paper studies a class of singular integro-differential equations on a smooth closed contour in the complex plane, under Hölder-type smoothness assumptions on the coefficients and kernels. The equation is reduced to a differential boundary-value problem for a piecewise holomorphic Cauchy-type in…
This paper develops fixed point criteria for operators that leave invariant a cone in a real Banach space, focusing on completely continuous operators that either compress or stretch the cone in prescribed norm regions. Using topological methods, it proves existence of fixed points and nonzero fixed…
This paper examines the longstanding question of how iodine interacts with starch and amylose in aqueous solution, with attention to conflicting interpretations of iodine starch as a chemical, adsorption, or inclusion complex. The authors use spectrophotometry over 220 to 800 nm, supplemented by col…
The paper presents a numerical method for solving generalized homogeneous linear systems of the form (A minus lambda B)X equals 0, with particular attention to cases in which one or both matrices are singular. The method combines computation of one characteristic root and vector with successive redu…
This paper summarizes an analytical treatment of the reflection of tsunami-like long waves from a straight shoreline in a rotating basin of constant depth. Starting from the linear long-wave equations with Coriolis terms, the surface elevation is decomposed into steady and unsteady components, and t…
This study examines the formation and transformation of high-molecular tungsten compounds produced by acidifying aqueous sodium tungstate solutions. Using dilatometric measurements and ultraviolet spectrophotometry, the authors follow sodium paratungstate formation, crystallization, hexatungstate fo…
The paper addresses the preparation of hexafluoroplatinates, which are difficult to obtain by conventional aqueous or hydrogen fluoride routes because of hydrolysis and poor reactivity of platinum compounds. It reports that metallic platinum dissolves in a bromine and bromine pentafluoride mixture t…
The study examines reactions of nitrosyl fluoride with several fluoroolefins, an area previously little explored beyond inorganic substrates and benzene. Experiments with perfluoroisobutylene, perfluoropropylene, tetrafluoroethylene, trifluoroethylene, and vinylidene fluoride show that nitrosyl fluo…
This study examines the thermodynamics of the chlorination reaction of uranium dioxide with carbon and chlorine to form uranium oxychloride, using electromotive force measurements with uranium oxide, carbon electrodes in molten alkali chloride electrolytes containing uranium tetrachloride. The autho…
This study examines liquid extraction of metal chelate compounds in systems containing two complex-forming agents, especially under conditions where either reagent alone gives insufficient extraction. A broad set of nitrogen bases, hydroxyquinoline derivatives, hydroxylamines, azo compounds, and rel…
This study examines the phases formed during interaction between a five-component nickel solid solution and titanium carbide in heat-treated alloys containing varying TiC additions. The authors used electrochemical dissolution and intermetallide phase analysis, followed by chemical and X-ray structu…
This paper studies ill-posed Cauchy problems for evolution equations generated by closed unbounded operators in Banach spaces, focusing on when restricting to bounded solutions restores well-posedness. Using analytic continuation of strongly continuous semigroups and estimates based on logarithmic s…
This paper reports radio interferometric observations of the second Soviet space rocket, which reached the Moon on 14 September 1959. Using a double radio interferometer operating at the transmitter frequency of 183.6 Mc/s and calibrated with strong cosmic radio sources, the authors measured the ang…
This paper examines hydrodynamic calculations for flows of gasified liquids when relative permeabilities depend on two parameters rather than on saturation alone. The authors discuss the applicability of permeability data obtained from steady linear filtration to plane-radial and well-system flows, …
This note develops a general scheme for representing certain axisymmetric unsteady adiabatic motions of a perfect gas as power series in the radial coordinate in spherical coordinates. Using the structure of the gas-dynamic equations, the author shows that, when the leading velocity terms are nonzer…
This note extends results of Dixmier on special unitary irreducible representations of nilpotent Lie groups to arbitrary unitary irreducible representations of connected nilpotent Lie groups. It shows first that, once a representation is realized so that the enveloping algebra acts as all differenti…
This paper analyzes the stereochemistry of natural lignans derived from 2,6-diphenyl-3,7-dioxabicyclo[3,3,0]octane, whose structures were known but whose relative and absolute configurations had remained only partly established. By critically comparing published data on oxidative cleavage, epimeriza…
This study examines the mechanism of isotopic exchange between dialkylmercury and alkylmercury bromide using mercury-203 labeled, optically active 5-bromomercuri-2-methylhexane and bis-(2-methylhexyl-5)-mercury. The reaction was followed in absolute alcohol by separating the organomercury products, …
This paper investigates the plastic deformation and suitability of several materials as lubricants in high-pressure apparatus by measuring their limiting shear stress under hydrostatic pressures. Thin disks or powders of graphite, silver chloride, pyrophyllite, magnesium, soft iron, and catlinite we…
This paper develops a direct numerical method for calculating longitudinal phase trajectories of electrons in the buncher of a linear accelerator while accounting for Coulomb interaction within the beam. Starting from the equations of motion in a traveling-wave field, the charge interaction is repre…
This note studies the asymptotic growth and stability of solutions of weakly nonlinear ordinary differential systems by comparing them with linear systems obtained by freezing the coefficient matrix. It derives an integral estimate, based on an identity for parameter-dependent matrix exponentials an…
The paper studies the Dirichlet problem for second order linear elliptic systems with constant real coefficients in two variables, without assuming strong ellipticity. Focusing on the case of two unknowns in the unit disk when the characteristic equation has a double complex root, it uses the repres…
This paper presents a method for measuring the velocity of sound in detonation products and applies it to TNT and a 50/50 TNT, RDX alloy. The approach uses reflection of a detonation wave from a low dynamic rigidity inert plate, producing a rarefaction wave whose arrival at an electromagnetic pickup…
This paper studies geodesic flows on manifolds of constant negative curvature through the framework of Kolmogorov dynamical systems. It constructs suitable measurable partitions, using horocycles and properties of fundamental domains, to prove that geodesic flows on two-dimensional finite-area manif…
This paper reports visual photometric observations of clear-sky brightness and polarization along the solar almucantar at sites near Alma-Ata and in the Libyan Desert, using a yellow filter and a three-position polaroid method to determine both degree and plane of polarization. The study compares me…
This paper studies the Cauchy transform for functions and generalized functions of several complex variables on products of smooth closed contours. It establishes boundary estimates and differentiation properties for multidimensional Cauchy-type integrals, extends singular Cauchy operators and their…
The paper studies perturbed differential systems whose unperturbed motions contain both oscillatory variables and rotational variables, with periodic dependence on the rotational coordinates. Using variation of constants and the averaging method, it derives asymptotic equations for the slowly varyin…
This study examines the addition of trichlorosilane to dialkyl, phenyl, and chloro substituted diallylsilanes in the presence of chloroplatinic acid as catalyst. The authors prepared a series of monoaddition and diaddition products, characterized them by boiling points and chlorine analysis, and rep…
The paper studies transformation operators for singular Goursat problems associated with a hyperbolic equation whose characteristic line is singular, and with a related parabolic-type equation. It derives integral connection formulas and asymptotic or series expansions relating solutions with differ…
This study examines the morphology of molecular packings in crystalline linear polyesters, motivated by small-angle X-ray patterns showing unusually strict periodicities of about 100 to 200 Å. Using electron microscopy, electron diffraction, and small-angle X-ray scattering on samples crystallized f…
This paper examines whether turbulent diffusion in the wind direction can be neglected in semiempirical models of atmospheric diffusion from point sources. The author formulates the three-dimensional diffusion problem with gravitational settling and ground reflection or absorption, then uses nondime…
This study examines the synthesis and reactivity of monocyclic secondary acetylenic alcohols derived from acetylene and substituted cyclohexene aldehydes. The authors prepare a series of such alcohols, investigate the effects of ring substituents on acetylene addition, and convert the products throu…
This paper studies generalized continuity and differentiability of measurable real functions when increments are restricted to a fixed measurable set near zero, called a congruent set. It introduces three density conditions on the increment set and proves necessary and sufficient criteria under whic…
This paper investigates the earliest relaxation stages of photoconductivity in sublimed solid layers of metal-free, copper, and magnesium phthalocyanines, motivated by their semiconductor behavior and relation to natural pigments. Using a taumeter method with oscillographic recording, the study meas…
This paper examines anomalous features in the catalytic oxidation of carbon monoxide on oxide semiconductors, especially the preadsorption effect, water inhibition, and the influence of modifying oxide additives. It argues that several contradictions in earlier kinetic schemes can be reduced by appl…
The paper examines how chemical shifts in nuclear magnetic resonance reflect local magnetic fields and magnetic susceptibility properties in diamagnetic substances. Using recent theories of chemical shifts together with a method for decomposing total susceptibility into atomic or bond contributions,…
The paper studies singularly perturbed boundary value problems for elliptic partial differential equations of the form involving a small biharmonic term, with homogeneous boundary conditions on the function and its Laplacian. Using the Vishik and Lyusternik boundary layer method, it constructs an as…
This study examines the addition of benzonitrile oxide to vinylacetylene and its methyl and ethyl homologs in order to determine whether reaction occurs at the double or triple bond and to assess the products as derivatives for hydrocarbon identification. The authors prepared the corresponding 3-phe…
This paper investigates the joint phenylation of trichlorosilane and silicon tetrachloride with benzene under high temperature and pressure, addressing the low yields caused by disproportionation and side reactions in direct trichlorosilane phenylation. The authors first show that silicon tetrachlor…
This paper proves Sobolev-type embedding theorems for domains whose boundaries may contain angular points of zero angle, where the usual cone condition fails. Using estimates on functions in generalized conical bodies with cusp parameter, it derives pointwise and integral norm inequalities for funct…
This paper proposes an acceleration of Mayants’ iterative method for refining roots of secular equations and their associated homogeneous linear systems. It shows that, at any iteration step, the vector solution can be expanded as a power series in the spectral parameter, with coefficients generated…
This paper examines whether “ghost” states can be excluded by imposing crossing symmetry in a solvable fixed-source model. The authors construct a Hamiltonian for a two-state nucleon interacting with charged relativistic fermions, show that the interaction is crossing symmetric, and solve the retard…
This paper investigates elastic scattering of 5.45 MeV protons by cobalt, copper, and separated nickel isotopes at energies below the nuclear potential barrier, where earlier studies suggested differences between even-even and odd-even nuclei. Thin metallic targets were irradiated with an analyzed p…
This paper presents and tests an objective computer based scheme for analyzing meteorological and aerological observations for use in numerical weather forecasting. The method approximates geopotential height fields over a fixed grid by a third degree polynomial determined by least squares, incorpor…
This paper examines the initiating effect of nitrosyl chloride on the low-temperature gas-phase oxidation of propane, with attention to the formation of acetaldehyde and formaldehyde. Experiments in a static apparatus at 250 degrees Celsius and 250 mm Hg compare propane oxidation without additives a…
This study reports the first sulfochlorination of 5,6-disubstituted pyrones-2, a reaction not previously described for this class of compounds. Heating several pyrones-2 with chlorosulfonic acid at 70 to 90°C gave crystalline pyrone-2-sulfochlorides in 30 to 50% yields, with the sulfochloride group …
This study examines how neutral electrolytes affect coagulation bonds between particles, focusing on the elementary interaction of mineral surfaces in solution. Using dimensional modeling, the author measures residual electrolyte layers and their resistance to thinning between polished quartz disks,…
This paper investigates the oxidation and radical behavior of dicyclohexylmercury under oxygen in several solvents, motivated by its apparent instability in air and its potential as a source of cyclohexyl radicals. Oxidation in isopropyl alcohol gives mercury, cyclohexanol, and cyclohexanone in appr…
