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
This note studies endomorphisms of the lattice of closed subgroups of a locally compact topological group, especially maps of the form X to X joined with S for a proper closed subgroup S. Using criteria for distributive and dually distributive pairs of closed subgroups, it derives structural restric…
This paper examines an apparent paradox in plasma diffusion in axially symmetric toroidal magnetic traps, where rarefied plasma calculations suggested nonambipolar self-diffusion and diffusion coefficients depending on like-particle collision frequencies. Using the drift kinetic equation, conservati…
The crystal structure of hydrothermally synthesized sodium neodymium germanate, NaNd3[GeO4]2(OH)2, is determined from three-dimensional single-crystal X-ray diffraction data. The compound has a monoclinic centered cell and is described mainly in space group I2/c, with atomic positions obtained from …
A numerical procedure is presented for kinematic analysis of plane mechanisms, intended to reduce the size of equation systems required for structural groups. The method determines coordinates, velocities, and accelerations by first solving for the parameters of only half of the links in an Assur gr…
This paper reports an experimental study of the enthalpy of the chemically reacting nitrogen tetroxide system involving dissociation to nitrogen dioxide, nitric oxide, and oxygen, with emphasis on conditions where available caloric data were insufficient for reliable thermodynamic descriptions. Enth…
The paper develops a generalization of Cauchy’s fundamental theorem for finite-dimensional associative algebras over the real numbers. It defines line integrals of continuous algebra-valued functions along rectifiable arcs and proves that, for every closed rectifiable contour, the integral of a powe…
The paper studies bounded solutions of an inhomogeneous diffusion equation on a semi-infinite interval with a zero boundary condition and a source term that switches between constant input and removal according to the value of the solution at a fixed point. Using heat-kernel representations, the pro…
This paper studies local existence of solutions for a neutral differential equation with deviating argument in which the derivative depends on delayed values of both the unknown function and its derivative. Instead of imposing Lipschitz conditions in all phase variables, the authors assume continuit…
This paper reformulates Tolman’s problem for pressureless dust matter in a centrally symmetric reference system attached to a stationary central observer, rather than in the usual comoving coordinates. Starting from relativistic hydrodynamic equations, it derives expressions for the velocity, specif…
This paper studies the stable approximation of solutions to ill-posed operator equations when additional a priori information specifies that the unknown function is bounded and monotone. Using Helly’s selection theorem, the authors show that the class of bounded monotone functions is compact in an \…
This paper derives equations for the Brownian motion of aerosol particles in atmospheric flows when particle inertia cannot be neglected and the ordinary Smoluchowski approximation may fail. Starting from the Fokker-Planck equation, the authors assume local Maxwellian equilibrium of velocities after…
The paper examines graphs whose associated invariant matrix algebra is a cell, a class characterized by a regular zero-one basis and uniform counts of vertex sequences with prescribed adjacency patterns. It addresses a previously stated hypothesis that any graph with such a cell algebra must have a …
This note generalizes Sobolev-type projection representations for function spaces on rectangular domains to a finite collection of partial differential operators that factor into ordinary differential operators in separate variables. Under a stated algebraic compatibility condition on the solution s…
This paper examines the little used phenomenon of double reflection in optically anisotropic crystals and proposes its application to polarizers and electro-optic light modulators. Using generalized Cotton-type prisms, the authors give calculation relations for ray splitting under total internal ref…
The paper develops a unified approach to results on dyadic bicompact spaces by introducing cardinal invariants based on monolithic subspaces and a suppression property, combined with the Hewitt, Marczewski, Pondiczery theorem. It defines dense, adherent, and dant spaces, proves their stability under…
The paper studies bounded dissipative operators in a separable Hilbert space whose spectrum is concentrated at zero and whose resolvent is an entire function of exponential type. Using exponential nodes and their characteristic operator functions, it constructs invariant subspaces with prescribed ty…
The paper analyzes nonstationary axisymmetric heat conduction in a two-layer infinite coaxial cylinder with ideal thermal contact and different thermal properties in the two regions. By separation of variables, the problem is reduced to a Bessel-function eigenvalue equation, and approximate formulas…
This paper studies magnitudes of deviation for meromorphic functions of finite lower order less than one, quantities analogous in some respects to Nevanlinna deficiencies. It establishes conditions under which a sufficiently large positive deviation from one value, for lower order below one half, fo…
The paper formulates an embedding principle for enumerating labeled graphs by relating a target class to distinguished induced subgraphs inside a larger class, yielding linear recurrence relations for the desired counts. This method is applied to directed graphs with reachability and strong connecte…
The paper develops a multidimensional theory of linear passive systems represented by convolution equations with distributional matrix impedances supported in a causal cone. It characterizes passive operators through the Fourier-Laplace transform as holomorphic matrix functions in a tube domain with…
This paper generalizes Bulgakov’s problem of accumulation of perturbations for nonlinear dynamical systems with bounded initial perturbations and bounded continuously acting perturbations whose derivatives are also constrained. It formulates the maximum deviation from a prescribed trajectory as an e…
This study examines how a pulsed electric field applied synchronously with a light flash affects latent photographic image formation in silver halide emulsion microcrystals. Experiments used unsupported emulsion layers with controlled crystal size and varied electron trap structures produced by sulf…
The paper studies weak invariance of discrete dynamical systems with respect to external perturbations under a terminal quality criterion. Using a reference perturbation and the associated reference function, it derives necessary and sufficient conditions for invariance, including an equivalent form…
This study examines infrared and ultraviolet absorption spectra of 82 natural diamond crystals classified as intermediate type, with attention to how spectral features relate to impurity nitrogen concentration and distribution. Infrared spectra in the one phonon region separate the samples into five…
The paper addresses the ill-posed problem of computing values of an unbounded linear closed operator from approximate input data in Hilbert spaces, where small perturbations may leave the domain or produce unbounded changes in the output. It proposes a stabilizing variational construction that, for …
This paper studies the two-dimensional zeta function of a lattice with a real parameter, seeking lattices of fixed determinant that give local minima for a fixed value of the parameter. Positive binary quadratic forms of determinant one are parametrized in a reduction domain, and the behavior of the…
This paper develops a framework for random and stationary processes taking values in a topological semifield, using probability distributions defined through measures on the Boolean algebra of idempotents. It introduces notions of stationarity in the broad and narrow senses, establishes their relati…
The paper studies structural properties of R and Rc operations using Kurepa’s apparatus of ramified tables, with particular attention to countable tables, rigid bases, and chains of finite tuples. It establishes dichotomy results for countable subsets of such tables, proves that rigid Rc chains cons…
The paper studies completely irreducible class I representations of connected real semisimple Lie groups with finite center, relative to a maximal compact subgroup. Using the group algebra, the commutative algebra of bi-invariant test functions, and spherical functions, it constructs a family of rep…
This paper studies spectra of self-adjoint extensions of a closed symmetric semibounded operator with infinite deficiency index, under the assumption that the Friedrichs extension has compact inverse and eigenvalues with a prescribed power asymptotic. It proves that for any slower power growth expon…
This paper proposes a type of chemical laser in which stimulated electronic transitions occur directly during the contact of unexcited reacting gas molecules, so that the radiative transition itself constitutes the elementary chemical reaction. Using order of magnitude estimates for molecular contac…
Yttrium aluminate crystals activated with neodymium ions were synthesized from the melt and examined as potential active media for optical quantum generators. Single crystals of good optical quality containing 1.5 and 3 wt.% Nd3+ were identified by X-ray analysis as the YAlO3 phase, and their absorp…
This paper investigates the photomagnetic effect in anomalous photovoltaic cadmium telluride films, treated as systems containing large numbers of microscopic p-n junctions. The authors compare simplified junction-chain models with measurements made under constant illumination and an alternating mag…
This paper studies the elastic-plastic stress distribution in an infinite plane containing a smooth strictly convex hole, where an unknown boundary separates a plastic region near the hole from an elastic region. Using the Kolosov-Muskhelishvili complex potential representation and a conformal mappi…
This note extends Reifenberg and Morrey type results for the multidimensional Plateau problem to compact subsets of a compact Riemannian manifold that satisfy prescribed Čech homological conditions. It defines classes of compact sets with a given algebraic boundary relative to a compact set and with…
This paper studies eigenfunctions and spectral properties of the polyharmonic operator on an arbitrary domain, beginning with solutions of a polyharmonic eigenvalue equation. It proves a spherical mean-value formula for such solutions and their iterated Laplacians, involving Bessel functions and exp…
The paper studies selection problems for multivalued mappings whose values lie in complete systems of closed subsets of completely regular spaces, with emphasis on spaces having countable or sigma-discrete networks. It develops transfer results for selection properties under measurable homeomorphism…
This paper applies Zubarev’s nonequilibrium statistical operator method to irreversible processes in which interacting subsystems exchange only small amounts of energy, so that the distribution may be treated as locally Gibbsian on isoenergetic surfaces. A general set of kinetic equations is derived…
The crystal structure of lanthanum pyrogermanate, nominally La2Ge2O7, was determined to identify the germanium oxygen units present in the compound. Single crystal X-ray diffraction data from a triclinic crystal were analyzed in space group P1bar, with heavy atom positions obtained from Patterson an…
The paper studies discrete Wiener-Hopf equations in a quarter-plane with absolutely summable data and kernel, seeking solutions in l1. It establishes Fredholm, or Noether, criteria for the associated operator in terms of nonvanishing of the symbol on the two-torus and zero winding indices in each co…
The paper studies general criteria for convergence of arbitrary, possibly non-Markovian stochastic processes to Markov diffusion processes. It compares three forms of assumptions on increments over intermediate time intervals: cyclic conditions involving recurrent state sets, high-probability sets o…
The paper studies inertial motion of a body of homogeneous deformation as a nine degree of freedom mechanical system, extending earlier work that assumed vortex-free motion and spherical symmetry. It formulates the kinetic and internal energies, derives equations of motion for small deformations, an…
The paper studies topological entropy for two-sided topological Markov chains defined by finite or countable directed graphs, where the countable case is complicated by the noncompactness of the path space. It defines entropy as the supremum of the logarithms of the maximal eigenvalues over finite s…
This note studies quantitative stability estimates for epsilon-quasiconformal mappings of the three-dimensional unit ball onto itself, under a normalization fixing three boundary points. Extending earlier planar results, it derives nonsharp bounds for the deviation of such mappings from the identity…
The paper studies regularization of minimization problems for a continuous convex functional on a bounded closed convex subset of a Hilbert space, where ordinary minimizing sequences need not converge strongly because the minimizer may be nonunique. It proposes an algorithm based on intersecting the…
This paper develops an operational calculus for closed densely defined linear operators in countably normed locally convex spaces whose resolvents may be unbounded and whose spectrum may fill the complex plane. Under sectorial hypotheses expressed through a finite asymptotic resolvent expansion and …
The paper studies the computation of all simple eigenvalues of a Fredholm integral operator whose moduli exceed a prescribed threshold, for kernels belonging to specified smoothness classes and under stability and separation assumptions. It develops deterministic approximation and iteration schemes …
This paper reports year-round measurements of the effective dielectric constant and specific volume resistivity of young and pack Arctic drift ice over the frequency range 100 Hz to 1 MHz. Ice samples from different depths were studied with guarded flat capacitors, with temperature and salinity cont…
