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 paper reports experiments on stimulated emission from alcoholic solutions of the cyanine dye 3,3′-diethylthiotricarbocyanine iodide pumped by a giant pulse ruby laser. The authors measure absorption and luminescence characteristics, observe intense narrowed emission in the 7900 to 9000 Å region…
This paper develops a molecular description of the continuous spectrum of Rayleigh scattering in organic liquids far from the melting point, treating the near background and the far wing within a single framework. The model represents liquid molecules as undergoing quasi-elastic rotational oscillati…
This note examines the relationship between normal binary sequences and von Mises, Wald collectives defined by admissible selection strategies. After recalling normality in terms of limiting block frequencies with parameter p, it observes that strategies depending only on a fixed finite suffix are c…
The paper studies stationary random processes generated by interval endomorphisms of the form defined by Rényi’s number-theoretic transformations and their invariant measures. Under bounded distortion and variation assumptions on the inverse branches, it strengthens known exactness results by provin…
This paper studies inverse problems for uniform approximation of functions of several real variables by algebraic polynomials on a closed domain. Extending known one-dimensional results, it defines function classes in which smoothness in the direction normal to the boundary may deteriorate at twice …
This paper reports an experimental study of optical breakdown in air produced by a neodymium laser operating in the mode-locking regime, where a train of ultrashort pulses replaces the single giant pulse used in earlier work. By varying the resonator length and pulse spacing, the authors observed th…
This paper develops a theory of light and X-ray scattering for semirigid linear macromolecules represented by a freely jointed statistical zigzag, in which kinks occur randomly along the chain and rigid segment lengths follow a statistical distribution. Using the probability distribution of segment …
This study examines stepwise structural transitions during the initial epitaxial growth of PbTe films on NaCl substrates, a system with substantial lattice mismatch. PbTe was condensed onto heated NaCl cleavages under varied deposition rates and times, and the resulting films were analyzed by electr…
This paper studies how uniformities on a topological space induce Hausdorff-type uniformities and topologies on spaces of nonempty subsets and closed subsets. Motivated by counterexamples to Isbell’s claim that the hyperspace of closed subsets distinguishes uniformities, it proves that distinct comp…
This paper develops a model for migration polarization in ceramic dielectrics caused by the displacement of impurity ions along dislocations under an electric field. Treating mobile ions on dislocations with Boltzmann distributions, diffusion equations, and relaxation-mode expansions, it derives exp…
The paper addresses the reconstruction of sea floor relief in unsounded areas from neighboring bathymetric measurements, framing the task as a least squares estimation problem. It proposes a local third degree polynomial approximation with distance dependent weights and determines depths by solving …
This paper examines how heat advection by major ocean currents contributes to large-scale ocean-atmosphere thermal interaction, emphasizing the methodological limits of estimating heat transport from geostrophic velocities or heat-balance residuals. It proposes the heat content of a current’s cross …
The paper studies self-adjoint extensions of field operators in Hilbert spaces generated by positive functionals, motivated by cases in quantum field theory where vacuum moments grow too rapidly to ensure essential self-adjointness. Using analogies with the classical moment problem and difference op…
The paper studies linear parabolic systems on a half space in which ordinary spatial derivatives are combined with powers of a Bessel operator, under a Petrovskii type parabolicity condition. Using the Fourier-Bessel transform and the associated generalized shift operator, it defines the Green matri…
This paper studies the local structure near a homoclinic tube formed by transverse intersections of the stable and unstable manifolds of a saddle-type invariant torus for a smooth mapping. Using contraction arguments and graph-transform estimates, it constructs stable and unstable sequences of surfa…
This paper investigates weak, low-frequency fluctuations in the Sun’s centimeter radio emission at a wavelength of 3.3 cm, with attention to whether observed signal variations originate in the solar chromosphere rather than in instrumental instability or tropospheric propagation. Using a quasi-null …
This paper proposes a visual method for representing real time control processes in complex human machine systems operated by a computer with possible corrective intervention by a human operator. The method constructs an integral informational model in a control plane, where discrete control steps a…
This paper reexamines the variational derivation of gravitational field equations from the scalar curvature action, focusing on the nondefiniteness or coordinate dependence of the second variation in standard treatments. It proposes imposing an invariant nonintegrable relation on metric variations a…
This article applies correlation and multiple regression analysis to estimate rates of recent tectonic crustal movements from geological and geomorphological indicators in areas lacking repeated leveling data. Using 60 observation points in the Orel, Kursk, Voronezh, Gryazi geodetic polygon, the stu…
The paper generalizes the notion of lacunarity from systems of functions to Riesz basic sequences of elements in Banach spaces densely embedded in Hilbert spaces. It gives intrinsic criteria for an E-lacunary system, including a uniform l2 to E norm estimate and an equivalent square summability cond…
This paper evaluates the physical basis and exploration potential of the converted transmitted wave method using vertical seismic profiling data. Drawing on VSP observations in several geological settings, including investigations in Volgograd Oblast, it examines the formation of converted waves, th…
The paper examines the approximation of periodic functions in \(L_p\), \(1 \le p \le \infty\), by Zygmund normal means of order \(k\), with emphasis on the distinction between even and odd orders. After recalling known equivalences between the approximation error and the \(k\)-th modulus of smoothne…
Chernavskii strengthens a theorem of Bryant and Seebeck of engulfing type for embeddings of compact manifolds in Euclidean space, extending the discussion to all codimensions under conditions described as local homotopic unknottedness. The paper defines relevant local abelianness and local connectiv…
This paper examines how a radial electric field affects ion confinement and anisotropy driven instability in a rotating plasma held in a magnetic mirror trap. Using adiabatic invariants together with conservation of energy and angular momentum, the authors derive the velocity space boundary for conf…
This paper studies boundary-value problems for electromagnetic wave propagation in a half-bounded magnetoactive plasma, where spatial dispersion makes the material relation between current and electric field integral rather than local. Using Maxwell’s equations coupled with the linearized Vlasov exp…
This paper examines contours of constant characteristic exponent for the Mathieu equation in its instability regions, a topic needed in applications involving parametric resonance and insufficiently covered for larger modulation depths. Using numerical computation based on a previously described met…
This paper examines the polygonal and otherwise irregular outlines of some lunar craters and questions explanations based on convective cells. Drawing on 160 observed examples, it argues that many quasi-polygonal craters are only partly angular and can be interpreted within an explosive, possibly me…
This note studies the complexity parameter given by the largest order of the principal neighborhood of a maximal interval in the minimization of Boolean functions. Maximal intervals of a Boolean function are represented by a graph whose edges correspond to intersecting faces of the Boolean cube, and…
This paper studies stochastic behavioristic models of learning in which behavior evolves through contracting transformations determined by stimulus, response, and reinforcement events. It formulates finite order approximations of such models, including approximations to the Bush-Mosteller linear mod…
The paper studies Haar series that converge not everywhere in the ordinary sense but along point-dependent subsequences of partial sums. It introduces derivatives and Perron-type majorants and minorants relative to subsequences of dyadic nets, defines the corresponding generalized integral, and prov…
The paper develops constructive analogues of spaces of infinitely differentiable functions with compact support, defining countably normed spaces of complete records of such functions that vanish outside a fixed interval. It establishes completeness and separability for these spaces, studies convex …
This paper presents a computational study of supersonic spatial flow at angles of attack around an axisymmetric segmental body approximating a rounded spherical sector. Using previously developed methods for subsonic and supersonic regions, the authors calculate ideal gas flow with adiabatic exponen…
This note introduces generalized motions of an n-dimensional Riemannian space by treating the metric equations as a partially invariant manifold under the induced action of a Lie group on the space of coordinates and metric components. It derives generalized Killing equations characterizing the inva…
The paper studies conditional minimization of a real functional on a subset of a Banach space defined by an inequality constraint and a closed set, with emphasis on characterizing when a given sequence is minimizing. It introduces a directional derivative based quantity measuring stationarity and pr…
This paper investigates thin-film indium arsenide Hall sensors as magnetic-field meters for superconducting solenoids at liquid-helium temperatures. Sensors fabricated by separate evaporation of indium and arsenic onto corundum substrates were tested at 4.2 and 2 K in constant magnetic fields up to …
This paper examines how different choices of neighborhoods in pseudo-Euclidean space lead to distinct topologies in relativistic mechanics, unlike the equivalent constructions available in positive definite Riemannian spaces. It argues that the intrinsic topology of particle trajectories is more fun…
The paper develops a variational formulation for quantum kinetic theory using Wigner distribution functions interpreted as densities of a phase fluid. Starting from a continuity equation in many-particle phase space, it constructs an action-like functional whose admissible variations yield equations…
This paper analyzes turbulent velocity fluctuations in the viscous sublayer near a smooth wall by linearizing the Helmholtz form of the Navier, Stokes equations for an incompressible turbulent flow. Using a two dimensional Fourier transform and assuming a linear mean velocity profile in the near wal…
This paper studies boundary value problems for the stationary and nonstationary linearized Navier-Stokes equations in a three-dimensional layer-like domain with a no-slip condition on the lower boundary and vanishing stress conditions on a free upper surface. Generalized solutions are formulated in …
This paper proposes a local method for solving a class of antagonistic differential pursuit games with geometric constraints on the players’ admissible motion. It defines action sets for the pursuer and pursued, introduces a mapping to a “center of pursuit,” and proves that when this center is uniqu…
This note studies how the growth of functions depending on several complex variables varies with fixed values of some variables, with particular attention to zero counting functions for entire functions in one distinguished variable. Ronkin introduces a class of functions whose radial extensions are…
This paper analyzes radiation losses that determine the quality factor of trapped oscillations in a dielectric resonator when geometrical optics predicts no attenuation. The problem is reduced to diffraction of a plane wave at the edge of a rectangular dielectric wedge under total internal reflectio…
The paper extends Racah’s seniority concept to systems of electrons in a strong cubic crystal field using quasispin formalism. It defines quasispin operators for a cubic-field shell, relates seniority to electrons not paired in totally symmetric spin-singlet states, and derives connections between w…
This paper studies global solvability for nonlinear ordinary differential equations on the half-axis when the forcing term is square integrable. It proves that, under monotonicity or coercivity-type integral conditions on the nonlinear term, the Cauchy problem is solvable after adding a finite-dimen…
This paper studies singularly perturbed nonlinear systems of ordinary differential equations in which a small parameter multiplies the highest derivative and the initial value of one variable grows unboundedly as the parameter tends to zero. Under specified growth and sign assumptions on the nonline…
This paper studies steady near-sonic axisymmetric flow past a finite body of revolution in a viscous heat-conducting gas, using an approximate system intended to model qualitative features of the Navier-Stokes equations. The solution is constructed as a functional series in inverse powers of distanc…
This paper studies bounded linear operators on a separable Hilbert space whose imaginary parts belong to the symmetrically normed ideal defined by a weighted summability condition on singular values. Using maximal chains of orthoprojectors and Shatunovskii type operator integrals, it proves an abstr…
The paper studies hyperspaces of nonempty closed subsets of a topological space endowed with the finite Vietoris-type topology, focusing on how cardinal invariants and dimension are reflected between a space and its hyperspace. It proves, under stated compactness or general hypotheses, results on eq…
