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 studies topological spaces whose weight, locally or globally, exceeds their cardinality, with emphasis on separation axioms and both regular and irregular infinite cardinals. It counts the class of T5 spaces of a given cardinality with larger weight, then constructs explicit examples usin…
The paper studies a special Chebyshev problem: the uniformly best approximation on [0,1] of a polynomial of degree n by polynomials of lower degree, reformulated as the construction of degree n polynomials with prescribed leading coefficients and minimal uniform deviation. Using the theory of class …
Of particular interest is the study of elementary scattering processes caused by single collisions of electrons during interaction with matter. The experimental investigation of such processes requires the use of very thin layers of the substances under study and spectral instruments with high chrom…
This paper investigates a catalytic route to n-xylylenediamine, a monomer of interest for high-molecular-weight polyamides, through hydrogenation of industrially available terephthalic acid dinitrile. Hydrogenation was studied in dioxane with added ammonia under high hydrogen pressure using Raney ni…
This study examines the reaction of hydrazine with N-acyl and N-aminoacyl derivatives of diketopiperazines, extending earlier observations on hydrazine cleavage and addition reactions. Through experiments on phenylalanine and glycine anhydride derivatives bearing acetyl, phthalylglycyl, phthalylalan…
The aim of this experiment was to detect the annihilation of antineutrons formed from antiprotons through their charge exchange. Since a small yield of antineutrons was expected, a relatively large flux of antiprotons was required.
This paper examines substitution reactions in bis-dimethylglyoxime complexes of trivalent cobalt, with particular attention to the trans influence of the hydroxo group. The authors prepare and characterize potassium and sodium dihydroxo-bis-dimethylglyoximocobaltates, hydroxo-aquo and diaquo derivat…
This note responds to W. F. Brown’s criticism concerning calculations of magnetostriction in nickel single crystals and distinguishes an error in the work of Gans and Harlem from the author’s energy-based theory. Akulov argues that Heisenberg’s formally statistical method remains physically inadequa…
The paper addresses a question of N. N. Luzin concerning the measure of sets on which approximation errors attain their maximum, especially for best polynomial and trigonometric approximations. It constructs a continuous function on a closed interval and an infinite subsequence of degrees for which …
This paper addresses the effect of goafs on mine ventilation, particularly the loss of air from haulage and ventilation drifts into mined-out spaces near working faces. It develops an approximate method that replaces continuously distributed leakage into the goaf with a concentrated fictitious flow …
The study examines whether silanes lacking halogen substituents, or bearing an aromatic group, undergo thermal telomerization with ethylene through an Si-H bond under pressure without added catalysts or initiators. Ethylene was reacted in steel autoclaves with triethylsilane, triethoxysilane, and ph…
This paper examines surge in compressor and fan systems as a nonlinear self-oscillation problem, focusing on the conditions for excitation, the character of oscillations, and possible suppression. Using a reduced one-degree-of-freedom acoustic model with compressor and network characteristics, it de…
This study examines anomalous outcomes in the acylation of pyrazolines, especially the reaction of 3,5,5-trimethylpyrazoline with benzoyl chloride, where earlier products assigned as N-benzoylpyrazolines are reidentified. Through independent synthesis, melting point comparisons, absorption spectra, …
This paper investigates the heterogeneous amination of solid chlorinated rubber with aqueous ammonia under pressure, focusing on how reaction temperature and the chlorine content of the starting rubber affect product composition and anion-exchange behavior. The authors measure nitrogen and chlorine …
This paper examines the molecular structure of 9-aminoacridine using infrared absorption spectra, addressing conflicting interpretations that assign either an amine form or an acridone-imine form. The authors compare 9-aminoacridine with 1- and 2-aminoacridine, 9-aminoanthracene, acridone, acridane,…
The paper studies unsteady two-dimensional laminar flow of an incompressible viscous fluid between parallel porous walls, extending earlier steady-flow treatments to the case where wall permeability varies with time while a constant flow parameter is assumed. Using a separated stream-function form, …
The paper studies Chebyshev best approximation of a continuous function on a closed subset of an interval by functions from an interpolation class, including linear and boundedly compact classes. It formulates the problem in a general interpolation setting, recalls uniqueness, and develops effective…
The paper computes matrix elements of irreducible unitary representations of the rotation group SO(n) and of the motion group of Euclidean space of dimension n minus 1. Using a parametrization generalizing Euler angles and an induction on n based on branching to SO(n minus 1), it constructs the repr…
Lecture delivered at the 2nd conference of the American Nuclear Society on June 8, 1956.
This note examines the equilibrium and spherically symmetric unsteady motion of a perfect gas under its own gravitation, with attention to a mechanically driven explosive transition from rest. Sedov constructs an exact solution of the nonlinear gas-dynamic equations in which a prescribed equilibrium…
This paper analyzes the influence function for the linear equation of radiant energy transfer with absorption, scattering, frequency change, sources, and specified initial and boundary conditions. By introducing the adjoint transport equation and its boundary conditions, the author derives a recipro…
This paper examines gas dynamic motions of an aerosol modeled as a gas containing many small, light particles or droplets that move with the carrier gas and increase the effective inertia and heat capacity of the medium. It shows that, under these assumptions, the usual hydrodynamic equations, adiab…
This note extends Korovkin-type convergence criteria for linear positive operators from continuous functions of one variable to continuous functions on a closed bounded domain in two variables. It proves that uniform convergence of the operators on the four test functions 1, x, y, and x squared plus…
This paper studies finite difference methods for first boundary value problems for elliptic systems of second order linear partial differential equations with constant coefficients in multidimensional space. It constructs a fundamental matrix for the corresponding difference system by Fourier integr…
The paper studies a singularly perturbed system of differential equations whose slow equation also contains a rapidly varying argument. Under boundedness, Lipschitz, averaging, and uniform stability assumptions, it proves the existence and uniqueness, for sufficiently small positive parameter, of an…
This paper examines why C-H bond rupture energies in hydrocarbons vary much more strongly with molecular structure than average bond energies or heats of formation would suggest. Building on Semenov’s interpretation, it attributes these variations chiefly to stabilization of the radicals formed on d…
This note generalizes the theory of accumulation of deviations in stable linear automatic-control systems to include velocities, accelerations, integrals, and other linear functions of the controlled variable under disturbances bounded either in magnitude or in derivative. Using Laplace transforms a…
The paper studies nonlinear second-order differential equations with slowly varying coefficients and small perturbation terms, focusing on oscillatory solutions over time intervals of order the reciprocal of the small parameter. Under sign and smoothness assumptions on the restoring force and pertur…
The paper studies harmonic heat waves in a thin unbounded plate whose temperature is assumed uniform through the thickness, with convective exchange on the upper face and contact with a continuous homogeneous foundation on the lower face. Using sinusoidal spatial and temporal heat sources, it formul…
This paper proves embedding theorems for classes of real periodic functions of several variables that admit analytic continuation in strips and satisfy Hölder type boundary smoothness conditions. Using two approximation theorems of S. M. Nikol’skii and a lemma relating multivariate best trigonometri…
This paper develops a formal treatment of coding finite dictionaries over finite alphabets, defining words, dictionary volume and length, and one-to-one encodings in terms of positional representations. It establishes a lower bound, depending only on the coding alphabet base and dictionary size, for…
This paper studies the topological invariance of Pontryagin characteristic classes for smooth compact orientable manifolds, focusing on the reduced classes obtained from Hirzebruch, Thom relations between Pontryagin classes and the signature. It defines classes s4k as polynomial combinations of redu…
This paper establishes limit theorems for sums of functions of homogeneous Markov chains on general state spaces under a uniform geometric convergence condition to a stationary distribution. It proves a central limit theorem assuming only square integrability, extends convergence to stable laws unde…
This paper addresses early synthetic approaches to the tetracycline ring system, focusing on tricyclic intermediates whose A and B rings resemble those of natural tetracycline antibiotics and whose C ring can support later construction of a fourth ring. The authors describe a two-stage route from su…
This paper addresses anomalously strong and narrow central Rayleigh scattering in glasses and viscous liquids, where observed intensities exceed those predicted by equilibrium formulas for ordinary liquids or isotropic solids. It argues that vitrification is a kinetic process rather than a second-or…
This study addresses the preparation of silicate glasses in which rubidium or cesium is the sole alkali component, motivated by their relevance to ion exchange at glass, solution interfaces and to glass electrode behavior. The authors varied borosilicate compositions to overcome high melting viscosi…
The paper studies linear systems whose parameters vary randomly, with emphasis on wave transmission lines and related discrete systems where scattered or transformed waves can accumulate and invalidate ordinary first order perturbation methods. It formulates such problems as systems of linear differ…
This note studies a mixed initial boundary value problem for a parabolic system with constant coefficients in a domain bounded by a convex Lyapunov surface. Using Green functions previously constructed for the corresponding half-space problem, the solution is represented as a surface potential with …
This study examines sulfuric acid catalyzed alkylation of cyclopentane, cyclohexane, and several alkylcyclohexanes with propylene or butylene, with attention to both synthetic utility and substituent effects in alicyclic hydrocarbons. Chemically purified cyclanes were reacted under varied temperatur…
This note outlines a proof of a theorem asserting that every real continuous function of three variables on the unit cube can be represented as a finite sum of continuous functions of two variables. Building on Kolmogorov’s representation using functions defined on a tree, the argument reduces the p…
This paper presents an electrical strain measurement method for determining tangential reactions along the lateral surface of a loaded pile frozen into perennially frozen soil. It formulates the pile equilibrium problem, relates measured normal stresses in a duralumin tube to the distribution of she…
This note refines Chunikhin’s factorization theorem for finite Pi-separable groups by addressing whether the factors may be chosen pairwise permutable. It defines Pi-closed subgroups and Pi-separable bases, then proves by induction on the group order that every finite Pi-separable group has such a b…
This paper proves a comparison and convexity property for complete Riemannian manifolds whose curvature is bounded below, first treating analytic metrics of strictly positive curvature and then passing to twice continuously differentiable metrics by approximation. The argument reduces local question…
This paper investigates the oxidative chlorination of methane as a route combining methane chlorination with oxidation of hydrogen chloride, using cupric chloride supported on pumice as a heterogeneous catalyst. Flow experiments first examined hydrogen chloride oxidation to chlorine, then compared m…
This paper examines whether the method of characteristic exponents, effective for estimating solutions of linear differential systems, extends to nonlinear systems satisfying a Lipschitz condition and having a trivial solution. It analyzes the possibility of choosing a uniform growth constant in the…
This study examines the kinetics of metallic sodium dissolution in water, water and dioxane mixtures, and water and butyric acid systems at controlled temperatures using hydrogen evolution as the reaction measure. Because sodium reacts too rapidly with pure water for detailed observation, dioxane or…
This note studies characteristic properties of curves that can realize absolute minima for positive definite regular and quasiregular single integrals in parametric form, without assuming differentiability of the integrand. It introduces a classification of quasiregular functionals by the linearity …
This study examines whether carboxylic acids undergo coupled decarboxylation during the low-temperature autoxidation of a hydrocarbon, using mixtures of isopropylbenzene with acetic, butyric, isobutyric, and stearic acids at 80.5°C in the presence of cobalt acetate. Oxygen uptake, carbon dioxide evo…
