RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
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Showing 50 of 15540 papers
Generated abstract The paper studies whether all unconditional Schauder bases in certain countably Hilbert spaces are quasi-equivalent, extending earlier results from nuclear spaces and finite centers of Hilbert scales. It considers the infinite center of a completely continuous Hilbert scale, represented by weighted …
Generated abstract The paper studies parametric algorithmic problems, in which one seeks a general recursive function selecting a solution for each parameter, and introduces the stronger notion of effective refutability. It proves a criterion characterizing effective refutability in terms of effectively assigning to e…
Generated abstract The paper studies structural and completeness properties of topological groups and their quotient spaces under weakened compactness assumptions. It proves that a topological group is a Lie group precisely when it is locally pseudocompact, locally connected, and finite-dimensional, extending the usua…
Generated abstract This paper develops an approximate theoretical description of the wind and pressure field of a tropical hurricane, treating it as a thermodynamic atmospheric heat engine guided by warm ocean currents. Using observed wind profiles, an axisymmetric cylindrical formulation of the Navier-Stokes equation…
Generated abstract The paper develops a prognostic formulation for mesoscale atmospheric disturbances superposed on a large-scale rectilinear background flow, with attention to the interaction between the boundary layer and the free atmosphere. Starting from a simplified system for momentum, continuity, thermodynamic,…
Generated abstract The paper studies the expansion of functions in approximately orthonormal systems, a situation arising in numerical orthonormalization when rounding and integration errors perturb the Gram matrix. It compares the usual Fourier coefficient method with a recursive coefficient construction in which eac…
Generated abstract The paper studies optimal control problems for systems with parameters governed by integro-differential equations not solved with respect to the derivative, including neutral type delay equations. It formulates adjoint equations and derives necessary optimality conditions for controls and finite-dim…
Generated abstract The paper studies when unbounded operators in bosonic Fock space can be represented in normal form as series in creation and annihilation operators. It develops domain-sensitive definitions for parts of operators, tensor and symmetric products of unbounded operators, and coefficient matrices control…
Generated abstract This paper develops a computational procedure for determining reflection and transmission matrices of electromagnetic waves incident on a finite spherically layered anisotropic medium, with application to ionospheric propagation. The method extends prior impedance-matrix recalculation by deriving fo…
Generated abstract This paper examines the possible natural occurrence of long-lived superheavy transuranium elements in light of theoretical predictions of stability islands and reported cosmic-ray track observations. It estimates potential terrestrial abundances under two formation models, primordial nucleosynthesis…
Generated abstract This paper studies plane homeomorphisms whose quasiconformal characteristic is unbounded but satisfies an exponential integral bound. It defines a class of mappings with Tonelli absolute continuity properties for the map and its inverse, proves an area integral estimate leading to equicontinuity, an…
Generated abstract This paper studies the structure of nonlinear tensor functions in Minkowski space through their symmetry groups. It argues that once the symmetry group of a tensor function is known, the function can be represented as a linear combination of invariant basis tensors, with scalar coefficients dependin…
Generated abstract This paper examines how quantum effects in thermal fluctuations may influence the temperature dependence of the lifetime of solids under tensile stress, especially at temperatures comparable with the Debye temperature. Using a simplified polymer model in which fracture is governed by longitudinal st…
Generated abstract This paper derives boundary growth estimates for solutions and derivatives of homogeneous elliptic boundary value problems for properly elliptic operators with covering boundary operators. Using previously established derivative estimates for Green functions, the author represents solutions by princ…
Generated abstract The paper studies projective transformations of complete analytic Riemannian spaces of dimension at least three, comparing the connected identity components of the projective and affine transformation groups. Using local normal forms for metrics admitting a non-affine projective one-parameter group,…
Generated abstract The paper studies independence for subsemigroups of a semigroup as an analogue of free decomposition in group theory, emphasizing that the semigroup notions obtained from group-theoretic analogies are not equivalent. It introduces unit-ideal subsemigroups, records their elementary closure properties…
Generated abstract The paper studies a class of nonlinear stochastic programming problems, including nonconvex cases, in which a measurable decision function is constrained by probabilities of membership in random sets and by an expected linear operator inequality. For the case of two probabilistic constraints, the au…
Generated abstract This note studies how diffusion processes obtained by small random perturbations of a dynamical system with a stable equilibrium leave a bounded domain whose deterministic trajectories are attracted to the equilibrium. Using a variational functional and the associated quasipotential, it establishes …
Generated abstract This paper studies semiformal completions of constructive arithmetic, motivated by Gödel incompleteness for recursively axiomatized extensions of intuitionistic arithmetic. It compares two completion procedures: Feferman-style transfinite progressions obtained by iterating reflection principles over…
Generated abstract The paper studies a multidimensional multifront Stefan problem for parabolic heat equations with several moving internal and external phase fronts, formulated in two spatial variables with extension to higher dimensions indicated. It defines a regular classical solution and reduces the free boundary…
Generated abstract The study investigates the distribution of radio brightness across the disk of Venus at a wavelength of 8 mm, focusing on limb darkening as a diagnostic of atmospheric absorption mechanisms. Observations made with the large Pulkovo radio telescope in September 1967 were processed using antenna smoot…
Generated abstract This paper critiques the routine use of Bouguer anomalies as the principal representation of gravity data, especially over oceanic regions. The authors review the original geodetic purpose of the Bouguer correction, argue that applying an equivalent “filling” correction at sea introduces an artifici…
Generated abstract This paper describes the development and use of a pulsed ruby optical quantum generator as a light source for shadowgraph and Mach-Zehnder interferometric instruments in high-speed studies of unsteady gas-dynamic processes in shock tubes. The authors present optical coupling schemes for interferomet…
Generated abstract This paper examines interband optical absorption in disordered systems whose charge carriers move independently in a static, slowly varying random field, with possible relevance to strongly alloyed, amorphous, liquid, or glassy semiconductors. Using a quasiclassical expansion of one-particle Green f…
Generated abstract This paper develops a unified waveguide theory for multibeam spectrum analyzers, including prisms, diffraction gratings, Michelson echelons, Lummer Gehrcke plates, and Fabry Perot etalons. Treating these instruments as equivalent series or parallel waveguide radiating systems, it derives general exp…
Generated abstract This paper studies singular integral equations on a Lyapunov contour in the space Lp with bounded measurable coefficients, using the projectors associated with the Cauchy singular operator. It proves a perturbation theorem for operators of the form aP plus Q, giving Fredholm stability under multipli…
Generated abstract The paper studies non-self-adjoint operator functions in a Hilbert space that depend rationally on a spectral parameter, with emphasis on resolvent growth and completeness of eigen and associated elements. It establishes sufficient conditions, formulated through approximation numbers and local princ…
Generated abstract This paper develops a statistical method for determining kinetic coefficients from the time dependence of fluctuations in a steady state, where ordinary macroscopic diffusion has already reached a uniform distribution. Generalizing Smoluchowski’s treatment of Brownian motion, it relates the mean squ…
Generated abstract The paper studies classes of transfinite index functions on the space J to the power omega_nu and formulates comparison principles determining when sets defined by relations between indices belong to specified Borel-type or projective classes. Using Lyapunov’s lemma on regular index classes, it deri…
Generated abstract This paper investigates the formation of protonated molecular ions with mass M plus 1 during thermal ionization of organic compounds on oxidized tungsten emitters, with particular attention to phenol. Mass spectrometric measurements of temperature, pressure, and retarding potential dependences show …
Generated abstract The paper extends Sobolev’s theory of cubature formulas for periodic functions to formulas that incorporate prescribed derivatives, viewed as multidimensional analogues of Hermite quadrature. It formulates the error functional on an n-dimensional torus with a general period matrix and derives an exp…
Generated abstract This paper studies the propositional logic of finite problems developed by Yu. T. Medvedev as a refinement of Kolmogorov’s interpretation of intuitionistic logic as a calculus of problems. It introduces notions of alpha-logics, weakly constructive logics, finite rank of formulas, and finite logics, …
Generated abstract The paper addresses the structure of a plane shock wave in a simple monatomic gas by solving the Boltzmann kinetic equation for elastic hard-sphere molecules with Rankine-Hugoniot boundary conditions. It reformulates the collision integral and applies successive integral iterations combined with Mon…
Generated abstract This paper studies the local topological structure near an isolated singular point of a two-dimensional autonomous system whose leading terms are homogeneous of degree m, with special attention to analytic systems and to systems of class C_m. Using branch counts for curves defined by the vector-fiel…
Generated abstract This paper examines the angular distribution of elastic high energy hadron scattering by summing the scattering amplitude within a simple core scattering model. The model gives separate expressions for the imaginary and real parts of the amplitude outside the backward peak and a real amplitude near …
Generated abstract This paper calculates resonant charge exchange cross sections for ions colliding with atoms of group II elements using asymptotic theory. The exchange interaction is expressed through the asymptotic form of the outer electron wave function, with the asymptotic coefficient taken from Hartree-Fock dat…
Generated abstract This paper calculates quadrupole and octupole one-phonon states in even-even deformed nuclei with mass numbers 174 to 188, including the first two states with K pi equals 0 positive and 2 positive and octupole states with K pi equals 0 negative, 1 negative, and 2 negative. Using the superfluid nucle…
Generated abstract This paper derives kinetic equations for multicomponent mixtures of moderately dense gases, extending the kinetic theory beyond the rarefied gas approximation by retaining terms of second order in density associated with triple molecular collisions. Using Bogolyubov’s method, the hierarchy of distri…
Generated abstract The paper applies a continuous-parameter stabilization method to the Dirichlet problem for a second-order nonlinear elliptic equation of the form Δz + f(x, y, z) = 0 in a bounded domain with zero boundary values. Working in Hölder spaces, the authors formulate conditions under which the associated l…
Generated abstract This paper studies the asymptotic distribution of the first time at which a cumulative process exceeds a high level, extending a known limit theorem for sums of independent identically distributed random variables to sums governed by a regular semi-Markov process. The construction uses an embedded e…
Generated abstract The paper extends approximation theorems of A. F. Timan, I. E. Gopengauz, and S. A. Telyakovskii from functions with continuous integer-order derivatives to functions on an interval possessing a continuous derivative of arbitrary fractional order. It proves that, for \(r=r' + \alpha\) with \(0<\alph…
Generated abstract This paper examines whether microscopic discontinuities, modeled as narrow vacuum gaps or slits in a thermoelectric material, can improve thermoelectric performance by suppressing lattice heat transport while still permitting electron transfer over or through the barrier. Using phenomenological tran…
Generated abstract The paper addresses a question of F. Hall concerning when irreducible representations of polycyclic groups over absolutely algebraic fields of prime characteristic must be finite-dimensional. It develops module-theoretic lemmas for cyclic representations, using servile submodules over polynomial and…
Generated abstract This note studies polynomials orthogonal over the area of a simply connected Jordan domain, with unit, analytic, and more general nonanalytic weights, under smoothness assumptions on the boundary and weight. It establishes asymptotic formulas for the orthonormal polynomials in the exterior domain, e…
Generated abstract The paper studies bound states of two particles governed by the Schrödinger equation with an attractive screened Coulomb, or Yukawa, potential, focusing on whether the ground state binding energy vanishes at a finite screening parameter. A spherically symmetric solution is constructed as a functiona…
Generated abstract This paper proposes a holographic method for transforming coherent light fields so that radiation with an arbitrary or distorted wavefront can be converted into a prescribed phase distribution, including a plane wave. The method records the interference of two beams on a hologram and then reconstruc…
Generated abstract The note constructs a compact Hausdorff space satisfying the first axiom of countability for which the small inductive dimension and covering dimension differ. Starting from the lexicographically ordered square and Cantor set quotients, the author defines two bicompacta of dimension 1 and glues them…
Generated abstract The paper considers a class of discrete programming problems with separable additive or multiplicative objective components, an additional function bounded below by separable terms, integer resource constraints, finite variable domains, and supplementary feasibility conditions. It proposes a solutio…
Generated abstract The paper studies a time-optimal control problem for a class of interconnected linear systems with bounded controls, subject to the additional requirement that the trajectory reach a specified subspace before arriving at the final state and remain there thereafter. The system is rewritten in block-m…
Generated abstract This note examines the applicability of the commonly used gas filtration relation between squared pressure drop and volumetric flow rate in porous media, with particular attention to the influence of clay content. Experiments were performed by passing air and dry gas from the Zira field through colu…
