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
The paper studies Cauchy type singular integrals on closed rectifiable Jordan curves with tangent at every point, deriving estimates for the modulus of continuity of the integral in terms of the modulus of the density and geometric conditions on the curve. It introduces classes of functions defined …
This paper revisits wind-driven ocean circulation within the classical Ekman framework for a homogeneous steady fluid, addressing whether it can represent western intensification and latitude-dependent Coriolis effects. It formulates governing relations for the integral stream function, sea level, a…
The paper studies asymptotic representations of solutions to first order linear differential systems with a large real parameter when the characteristic equation has multiple elementary divisors. It develops a construction for a Jordan block of multiplicity m, showing how fractional powers of the pa…
This paper investigates the unsteady interaction of incident shock waves with blunted cylindrical bodies, focusing on the relation between reflected bow wave position and transient surface pressure. Shock tube experiments were conducted for cylinders with flat and spherical bluntness and for a finit…
This paper examines the directional stability of vehicles on pneumatic wheels, including motorcycles, automobiles, and aircraft landing gear, using equations derived from Keldysh’s theory of elastic tire rolling. By analyzing the nonholonomic equations of motion for small deviations from steady rect…
This note studies spectral multiplicity and continuity phenomena for ergodic automorphisms, especially interval exchanges and finite group skew products over rotations. It proves that for an interval exchange satisfying a generating condition, the spectral multiplicity is bounded by the number of ex…
This note proves that all separable Banach spaces are homeomorphic, answering a question attributed to Fréchet and Banach. The argument reduces the problem, using the Bessaga and Pełczyński theorem, to Banach spaces with bases, then constructs a homeomorphism to Hilbert space by encoding points on t…
This paper formulates a theoretical framework for interpreting temporal perturbations of gravitational and magnetic fields in relation to contemporary tectonophysical processes. It defines direct and inverse problems for time varying potentials produced by changes in density, magnetization, and boun…
The paper studies uniqueness and boundary formulation for elliptic operators that may degenerate, using generalized solutions interpreted through the associated Markov processes. It refines the Dirichlet problem in bounded domains by adding boundary data on an additional set determined by passable c…
The paper extends the binary majority, or voting, function to continuous signals in order to support restoration in analog systems with parallel redundancy. Using the correspondence between logical disjunction and maximum selection, and between conjunction and minimum selection, it derives equivalen…
This paper analyzes positron beta decay in neutron-deficient nuclei as a basis for predicting delayed proton emission and identifying proton emitters. Using charge invariance, mirror-nucleus relations, Coulomb-energy estimates, and excitation energies of isobaric analogue states, it derives constrai…
This paper reports measurements of cosmic radiation made aboard Luna-10, the first artificial satellite of the Moon, using two gas-discharge counters with different shielding to distinguish hard and weakly penetrating components. The instrument recorded cosmic-ray counting rates during the spacecraf…
The paper analyzes how the shape and propagation velocity of a light pulse change during nonlinear amplification in an active medium when the pulse duration exceeds the transverse relaxation time. Using rate equations for intensity, population inversion, and phase, the authors derive an expression f…
The paper studies the rate at which normalized convolutions of a distribution in the domain of normal attraction converge uniformly to a stable law. Using tail characterizations of normal attraction and an Esseen smoothing inequality, it derives bounds in terms of auxiliary functions measuring the r…
The paper studies additional conditions on interpolation nodes that can yield positive convergence results despite the Bernstein and Faber obstruction for arbitrary continuous functions. It introduces monotonicity and regularity of node matrices, possibly with weights, and proves criteria reducing m…
This letter provides corrections to the author’s earlier article on tensor products of C*-algebras, amending several displayed norm inequalities, tensor product notations, and statements concerning kernels and quotient constructions. It also adds two substantive remarks reflecting subsequent develop…
The study measures the total cross section of photoneutron reactions on the calcium-40 nucleus from the neutron-emission threshold at 15.62 MeV to 50 MeV. Photoneutron yields were obtained with bremsstrahlung radiation from a synchrotron using slowed-neutron counting with BF3 counters, and different…
The paper studies limitations of universal methods for minimizing Boolean functions in disjunctive normal form, including enumeration of irredundant forms, statistical selection, and local algorithms based on neighborhoods of conjunctions. It defines measures of difficulty such as the number of irre…
This note studies the moment problem in quantum field theory through a Hilbert space construction generated by positive functionals on sequences of test functions. It introduces quasianalytic functionals defined by a growth sequence satisfying Carleman type quasianalyticity conditions, and applies u…
The paper studies infinitesimal bendings of a positively curved piece of a surface of revolution bounded by a parallel, with the aim of estimating the cardinality of nonrigid sleeve constraints. It reformulates the bending equations as a Beltrami-type system and reduces the associated scalar equatio…
The paper develops generalized length and area relations for plane mappings with generalized first partial derivatives and finite Dirichlet integral. Using an extension of Fubini’s theorem based on level sets of the distance to a closed set, it derives integral inequalities relating the lengths of i…
This note extends results of Erdős and Turán on fine and coarse convergence of Lagrange interpolation processes from the case of Lipschitz classes with \(0\beta\), the paper establishes threshold results: uniform convergence for all such node matrices when \(\alpha>\beta\), existence of convergent p…
The paper presents a numerical scheme for short-range forecasting of stratiform cloudiness based on prognostic equations for total moisture content and a thermodynamic variable combining potential temperature and latent heat effects. The formulation uses quasistatic and geostrophic approximations, a…
This note studies the asymptotic probability that an n by m random matrix over GF(2), with independent but not necessarily identically distributed Boolean entries, has full row rank. Assuming all entry probabilities are bounded between delta and 1 minus delta, it proves that for m/n below an explici…
The paper addresses adaptive automatic control for a dynamic plant whose gain varies over a wide range but changes slowly relative to the transient process. It develops a variable-structure control law in which the switching hyperplane is not fixed, but selected according to an estimate of the curre…
This paper studies when a topological ring becomes a division ring after completion. It proves that the completion of a topological ring contains an identity and makes every element of the original ring invertible if and only if the ring has no closed one-sided ideals and no generalized zero divisor…
The paper gives a constructive characterization of a class of nonperiodic functions in \(L_2[-1,1]\) whose best algebraic polynomial approximation decreases as \(n^{-(s+\gamma)}\), with \(01/2\), then the associated Legendre coefficient series is absolutely convergent.
The paper argues that emerging limits in computer performance arise less from arithmetic speed than from memory access, especially the time required to read program instructions. Drawing on experience with BESM-6 and other Soviet machines, the authors propose separating numeric and program memory, e…
This note studies real canonical linear differential systems with periodic coefficients whose Hamiltonian is nonnegative, focusing on stable systems and their associated positively directed symplectic curves. Using a spectral representation of the matriciant through the eigenvalues and eigenvectors …
This paper studies subspaces of L infinity invariant under the shift operator, using strong operator topology and a bounded almost everywhere convergence notion, together with related weighted approximation problems by analytic polynomials. It proves a classification of such closed invariant subspac…
This paper examines light absorption and dispersion associated with molecular exciton formation in three-dimensional molecular crystals, including the effects of both acoustic and optical phonons. Using temperature Green’s functions, the authors formulate the exciton mass operator and relate its rea…
This note addresses the synthesis of nonlinear control laws for an automatic system of order n, where added nonlinear elements are intended to compensate existing nonlinear effects and improve dynamic behavior. Using a canonical transformation, the system is rewritten in variables that separate most…
This paper reports the synthesis and X-ray crystallographic characterization of a series of new complex perovskites with general compositions A(B′,B″)O3 and A(B′,B″,B′″)O3, where A is barium or strontium and the B-site contains selected mono-, di-, tri-, penta-, or hexavalent ions combined to preser…
The paper addresses the integration of equations governing plane flow in ideally plastic bodies, where the unknown velocity, curvature, and coordinate functions satisfy a hyperbolic equation with a Bessel Riemann function. Using the initial flow of a strip indented by a smooth convex punch as an exa…
This paper examines commutation in cross-field electromechanical amplifiers with smooth armatures, motivated by the role of electromagnetic factors in limiting reliable commutation in conventional toothed-armature commutator machines. The authors apply a digital-computer calculation method based on …
This paper addresses the measurement of small dynamic displacements in commutators of electric machines, where earlier profilometers based on resonant circuits were sensitive but prone to error, drift, and poor repeatability. The authors analyze three bridge measuring-cell circuits with close induct…
The paper analyzes current transients in the excitation winding of an electrical machine supplied through a thyristor based semiconductor commutator, with attention to the effects of winding section parameters, number of terminals, and commutator switching frequency. It models the commutation cycle …
This paper proposes a contactless adjustable induction motor in which an additional cascade with a controlled semiconductor commutator introduces a slip-frequency electromotive force into the rotor circuit. The design eliminates sliding contacts and can combine the cascades in a single magnetic core…
This article addresses the optimization of power transformer coil windings to minimize active resistance and additional copper or aluminum losses from eddy currents, with the core geometry and principal winding dimensions treated as fixed. It derives analytical conditions for selecting the number of…
This paper describes the design and experimental evaluation of a prototype pulsed power generator built to verify proposed principles for maximizing electromagnetic energy during the first half-period of generated emf. The authors outline the selected single-phase stator winding, rotor excitation an…
This paper analyzes forced excitation in impulse generators operated with pauses long enough for rotor transients to decay, where intermittent excitation can raise the magnetic flux before each pulse. Using a two-winding rotor model with excitation and damper circuits, the authors derive transient c…
This paper examines experimental models of a brushless DC electromechanical amplifier composed of two synchronous generators in a common magnetic circuit, with rotor rectifiers and alternative phase arrangements. It analyzes external and regulation characteristics, voltage and current waveforms, gai…
This paper applies the general theory of electrical machines to brushless DC electromechanical amplifiers and related fixed-frequency AC amplifier configurations. Using Lagrange-Maxwell equations, it treats the cascades of a combined machine as interacting stages and derives equations for electromot…
The paper analyzes energy relationships in a two-stage contactless adjustable-frequency converter intended for frequency control of AC electric drives. It derives expressions for output frequency as a function of rotor speed, pole numbers, phase sequence, and the rotation of the input field produced…
