RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
15540 translated records Original PDFs retained
Showing 50 of 15540 papers
Generated abstract This paper studies finite-dimensional subspaces of Banach spaces with the e-property, meaning that any norm-one linear extension of the identity on the subspace must be the identity on the whole space. It gives criteria for saturated subspaces, which imply the e-property, in the spaces l_p^n, distin…
Generated abstract This paper studies the asymptotic distribution of eigenvalues of positive self-adjoint operators generated by general elliptic boundary-value problems in unbounded domains. Using a parametrix construction for the associated parabolic problem, it first establishes estimates for the Green matrix under…
Generated abstract The paper studies how the geodesic paths of test bodies in a gravitational field can be modeled in another Riemannian space of the same signature by introducing an effective force in the equations of motion. It formulates complete modeling, in which all timelike and null geodesics of the original sp…
Generated abstract This paper studies the global realization in three-dimensional Euclidean space of two-dimensional metrics of class C2 with negative curvature of class C1, weakening earlier regularity assumptions for such problems. The argument treats metrics written in strip coordinates as ds2 = dx2 + B2dy2, with c…
Generated abstract This paper studies the velocity of wave fronts for finite and semi-finite wave functions using analytic continuation of Fourier transforms into the complex plane. It proves criteria, extending Paley-Wiener type results, that relate the existence and position of wave fronts to the asymptotic behavior…
Generated abstract This paper examines unusually bright, short-lived spots observed on Mars and evaluates the hypothesis that they are halo phenomena produced by directed reflection of sunlight from ice crystals in the Martian atmosphere. Focusing on a parhelic halo formed by vertically oriented hexagonal ice plates, …
Generated abstract This paper studies an external inverse problem for metaharmonic volume potentials with a prescribed variable density: given a body with smooth boundary and a nearby exterior metaharmonic function, it seeks a nearby body whose exterior potential coincides with that function. Under analyticity and non…
Generated abstract The paper formulates a Lagrangian statistical description of turbulent motion in an incompressible viscous fluid, motivated by problems such as turbulent diffusion and deformation of material surfaces. It rewrites the Navier Stokes dynamics in variables following initially marked fluid particles, in…
Generated abstract This paper examines the mechanism of polymorphic transformations in organic molecular crystals, focusing on whether the orientation of a daughter phase is determined by the crystallographic structure of the parent phase. Using polarized-light microscopy to measure changes in extinction directions du…
Generated abstract The paper studies how the complexity, defined as the length of a standard representation, of normal algorithms depends on the size of the alphabet, with particular attention to whether general constructions can be replaced by constructions of only linear complexity. It introduces a uniform coding of…
Generated abstract This paper reports an experimental observation of acoustic subharmonics generated by an intense ultrasonic wave in a liquid medium. Motivated by calculations predicting a second order subharmonic spectrum at fractional frequencies of the fundamental, the study used a 500 kHz barium titanate radiator…
Generated abstract This paper analyzes natural vibrations and flutter of three-layer cylindrical shells in a supersonic gas flow using semimembrane shell theory and a linear piston-theory representation of aerodynamic loading. The governing equations are reduced to a dimensionless boundary-value problem for prescribed…
Generated abstract The paper reformulates the axiomatic theory of a Hermitian scalar quantum field in terms of operator Jacobi matrices associated with an orthogonal decomposition of the Hilbert space generated from the vacuum. It shows how the field operators split into creation, diagonal, and annihilation parts, and…
Generated abstract This paper develops a method for deriving parameters of small-scale atmospheric turbulence in the meteor region from combined photographic and radar meteor observations. Using a model for the evolution of electron density in meteor trails that includes ambipolar diffusion, electron attachment, and t…
Generated abstract This paper examines delayed nuclear fission following beta decay in heavy nuclei far from the beta-stability band, where the beta-decay energy may exceed the fission barrier of the daughter nucleus. Using systematics of beta-decay half-lives, semiempirical alpha-decay estimates, spontaneous-fission …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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 …
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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 …
