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 embeddings of compacta in Euclidean space through an invariant called embedding dimension, defined by pseudoisotopic approximation of a compactum by rectilinear polyhedra, and compares it with a dual embedding dimension defined via isotopic removal from polyhedra. It proves that th…
This paper examines the mechanism of charge compensation in oxygen-free solid solutions of calcium fluoride with trivalent rare-earth fluorides, using an X-ray diffraction study of a single crystal of composition Ca0.607Ce0.393F2.393. Analysis of reflection intensities, electron-density syntheses, a…
This paper studies multidimensional integral equations with difference kernels in a three-dimensional half-strip, under periodicity in two variables and summability of the kernel over the strip. By expanding the unknown function in Fourier series in the periodic variables, the equation is reduced to…
The paper analyzes a mechanical model for the relative motion of a spacecraft and a cosmonaut connected by a cable that is reeled in at constant speed. Using Routh reduction for the cyclic angular coordinate, the dynamics are reduced to a second-order nonlinear equation for the cable orientation, to…
This note studies the remainder of partial sums of a generalized Fourier series for functions of two periodic variables, extending Kolmogorov-type asymptotic estimates from one-variable Fourier approximation. For the class of functions whose mixed derivative of orders p and q exists almost everywher…
This paper gives necessary and sufficient conditions for weighted a priori estimates for first-order constant-coefficient differential operators with exponential weights defined by a real homogeneous polynomial depending on spatial variables and nonnegative parameters. For real coefficient vectors, …
This paper develops asymptotic solutions for the diffraction of a plane electromagnetic wave by a perfectly conducting strip, formulated as a Neumann boundary-value problem for the Helmholtz equation. Using the method of edge waves together with the factorization method, the surface current and far-…
This paper studies choice-theoretic equivalents of Tychonoff’s theorem in topology, focusing on formulations that do not assume the weak axiom of choice. It proves that Tychonoff’s theorem for products of compact Hausdorff spaces is equivalent to Tychonoff’s theorem for finite spaces, Alexander’s cl…
The study determines the crystal structure of the red phosphorescent hydrothermal compound K2Mn2Zn4Si4O15 in order to clarify the crystallographic role of manganese in a luminescent zinc silicate. Single-crystal x-ray data were interpreted in the orthorhombic space group Imm2, with atomic positions …
The paper studies boundary value problems for elliptic overdetermined systems of two homogeneous second order constant coefficient equations in three variables. It first reduces such systems, by linear transformations of equations and coordinates, to two canonical forms, then analyzes edge boundary …
This study investigates the nature of radiation-induced trapping centers in quartz glasses, focusing on the role of hydroxyl groups and aluminum impurities in gas-fused and synthetic vitreous silica. Using electron paramagnetic resonance and optical spectroscopy after gamma irradiation, the authors …
This paper analyzes recombination radiation from a semiconductor pinch when both electron and hole gases are strongly degenerate, with indium antimonide used as the principal example. It derives expressions for the spectral radiation density for direct band-to-band transitions, taking into account p…
This note studies product inequalities and comparison results for large and small inductive dimensions in normal and completely regular spaces. It introduces auxiliary dimensional invariants defined through systems of closed sets, uses them to give conditions under which the usual inequalities for p…
The paper studies the integration of equilibrium equations for a thin or hollow circular cylindrical elastic shell of constant thickness within Vekua’s generalized shell theory, where transverse fiber elongation and additional equilibrated transverse pairs are retained. It formulates the governing t…
This paper studies the local topological structure of the manifold of nontrivial jump states arising from discontinuities in finite-dimensional systems of quasilinear conservation laws. Motivated by entropy-type inequalities for potential or reducible systems, it shows that uniqueness questions can …
This paper provides a statistical mechanical justification for a real gas equation of state expressed through elementary functions of reduced density and reduced temperature. Starting from the Mayer and Bogolyubov virial form, the authors separate repulsive and attractive contributions to the irredu…
This study examines mixed fluoride crystals based on cadmium fluoride activated with neodymium ions as potential active media for optical quantum generators, motivated by concentration quenching and unsuccessful laser action in simple CdF2:Nd3+ crystals at room temperature. The authors investigated …
This paper examines the combined use of pulsed neutron logging and pulsed acoustic logging for investigating oil and gas wells, particularly where neutron methods alone are limited by low water salinity, low porosity, or heterogeneous formations. Drawing on laboratory results, theoretical considerat…
Mössbauer resonant absorption of 23.8 keV gamma rays by Sn-119 was measured in tin films condensed on glass at 4.2 K, with superconducting transitions also recorded by mutual inductance. Thin freshly deposited films showed a shift of the absorption maximum toward higher energies, line broadening, an…
This study reexamines the high-pressure polymorphism of tin monoxide using improved X-ray diffraction methods with filtered molybdenum radiation and lithium fluoride as an internal pressure marker. The results confirm a reversible first-order transition above about 15 kbar from tetragonal SnOI to an…
This study examines how donor and acceptor impurities affect the anisotropy of plastic deformation in Czochralski-grown GaAs single crystals. Using three-point bending creep experiments at 400 to 700 degrees and fixed stress, the authors compare specimen orientations that preferentially generate alp…
This paper examines how tensile stresses affect the propagation velocities and amplitudes of longitudinal and transverse elastic waves in rocks, a condition relevant to natural crustal stress fields and mine workings but less studied than compression. Laboratory tension tests were performed on cylin…
The paper studies finite control for discrete linear systems with constant matrices, seeking a scalar control sequence that drives a given initial state to zero after a prescribed number of steps. Using the Z-transform, the problem is reduced to the requirement that a rational transform of the state…
This paper examines how donor and acceptor impurities affect the motion of individual dislocations in silicon, where high Peierls barriers make dislocation mobility strongly dependent on thermally activated processes. Using etch-pit measurements of isolated dislocation half-loops in bent silicon sin…
This paper studies the essential spectrum of operators on \(L_2(\Omega)\) obtained by restricting a singular integral operator in Euclidean space to a bounded domain with Lyapunov boundary. Using a known Noetherian criterion for singular integral operators, it characterizes the essential spectrum in…
This paper examines how microcontrol can improve program based fault diagnosis in macroprogrammed digital computers, especially where major errors disrupt instruction sequencing and make ordinary diagnostic programs unreliable. The authors define an effectiveness coefficient for diagnostic tests and…
The paper examines the propagation of plane harmonic Rayleigh surface waves in semiconducting piezoelectric gallium arsenide, including interaction with conduction electrons, conductivity, and electron diffusion. Starting from coupled elastic, piezoelectric, electrostatic, and carrier-continuity equ…
The paper defines and studies spaces of functions with dominating mixed derivatives on an n-dimensional, not necessarily bounded, domain, including Besov-type spaces and Sobolev-type spaces with nonnegative smoothness vectors. It announces interpolation and embedding theorems for intersections of su…
The paper formalizes the syntax and semantics of schematic programming languages, understood as languages for recording algorithms that map objects from a semantic set. It defines schemes as systems of labeled lines generated by a grammar, associates each scheme with a directed dependency graph, and…
The paper studies systems of singular integral equations in weighted spaces of vector functions on a smooth closed contour, with piecewise continuous matrix coefficients and power weights at finitely many discontinuities. It formulates necessary and sufficient conditions for the associated operators…
This paper studies purity properties for the locus where a locally finitely presented morphism of schemes fails to be smooth, distinguishing a local “from above” condition on irreducible components in the source from a “from below” condition on their images in the target for proper morphisms. Using …
The paper studies generalized solutions of mixed initial boundary value problems for the wave equation in exterior domains of trap type, with attention to domains that approach a closed configuration. It develops a spectral representation for the associated self-adjoint operator using heat-kernel Gr…
This paper studies invariance of the terminal value of a functional for nonlinear dynamic systems subject to external disturbances, generalizing weak invariance in a variational framework. By analyzing large variations of the functional, it derives an exact integral formula for the change in the fun…
This paper reports a calorimetric determination of the electron temperature behind the front of a collisionless shock wave in hydrogen plasma. The method infers the post-front temperature from the delayed increase in charged-particle concentration caused by inelastic ionization losses of shock-heate…
The paper studies birational invariants of connected linear algebraic groups over fields of characteristic zero, using Galois module structures on Picard groups of nonsingular projective models. It proves similarity invariance of the Picard module under birational equivalence, computes Picard groups…
The paper studies subspaces of dyadic compacta and the relationship between the depth of a topological space, defined via closures of discrete subspaces, and its cardinality. It develops local character invariants, proves a main theorem giving conditions under which a dyadic compactum of weight τ co…
This paper proposes using Pi2 geomagnetic micropulsations to estimate low-energy plasma density in the magnetosphere. Treating Pi2 as damped Alfvén waves propagating along nighttime field lines associated with the auroral oval, the authors relate the pulsation period to the latitude of the oval boun…
This note studies second order linear differential equations with periodic summable coefficients, focusing on multipliers and the existence and sign of Green’s functions for quasiperiodic boundary conditions. It gives criteria in terms of zeros of solutions, auxiliary differential inequalities, and …
This note studies criteria for fundamental closed sets in Post algebras of k-valued logic, focusing on permutation groups and mixed transformation semigroups within the symmetric semigroup. It introduces notation for maximal subalgebras, imprimitive and linear subgroups, and proves that for almost a…
The paper analyzes formation of the \(N^*(3,3)\) isobar in the reaction \(\pi^-p \to \pi^+\pi^-n\) using experimental effective mass distributions for the \((\pi^-n)\) system over incident pion energies from 365 to 780 MeV. The authors fit the mass spectra with a model containing background and isob…
This paper examines the bimodality of angular distributions of shower particles in inelastic nucleon and pion interactions near 10 to 20 GeV, a phenomenon previously contrasted with predictions of multiple meson production models and sometimes attributed to fireballs. Using proton proton and pion pr…
This paper studies equivalence transformations for systems of second order linear differential equations with matrix coefficients, focusing on the case of symmetric operators. It defines equivalence by changes of independent variables and linear transformations of the dependent vector, then derives …
The paper develops two metric approaches to defining prime ends for sequences of plane domains, not necessarily simply connected, that converge to a kernel. Using conformally invariant metrics on the domains and a metric for kernel convergence, it defines convergence of completed boundary elements a…
The note studies twice continuously differentiable Riemannian spaces homeomorphic to Euclidean space in which every body satisfies the Euclidean isoperimetric inequality. It proves a sufficient criterion for an n-dimensional space with semigeodesic coordinates: if each level hypersurface belongs to …
The paper addresses the problem of sorting an array of numbers without using an additional working area, beyond a bounded number of cells needed for exchanges. It develops a sequence of in-place procedures for interchanging blocks, merging two ordered subarrays, and arranging zones of fixed size, th…
The paper studies a singularly perturbed nonlinear system of ordinary differential equations in which a small parameter multiplies the derivative of one variable and the initial value of that variable tends to infinity as the parameter tends to zero. Under specified growth assumptions on the right h…
This paper studies boundary value diffraction problems for quasilinear parabolic equations in cylindrical domains whose principal coefficients are discontinuous across finitely many smooth interfaces and satisfy nonlinear transmission conditions. It derives local a priori Hölder estimates for spatia…
