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 studies four-dimensional Einstein spaces satisfying the Einstein condition with nonzero constant proportionality and belonging to the second class of embedding in a higher-dimensional flat space. Using the algebraic Gauss, Codazzi, and Ricci embedding equations for two second fundamental …
This paper reports the development and preliminary characterization of optical quantum generators using combined active media composed of simple neodymium activated crystals together with mixed crystals or glass containing multiple optical centers. The author analyzes the threshold condition for gen…
This paper studies generalized symmetric gamma correlations for nonnegative random variables whose joint density is expanded in products of normalized Laguerre polynomials with gamma marginal densities. It proves a necessary and sufficient condition for such an expansion to define a nonnegative join…
This paper analyzes the vacuum contribution to the magnetic moment of an electron moving in a constant homogeneous magnetic field, extending earlier nonrelativistic and weak field treatments. Using the Dirac equation with first order radiative corrections and exact electron wave functions in a magne…
The paper studies automaton mappings over a finite alphabet through functional semimatrices whose entries are functions into the symmetric semigroup of the alphabet. It defines equivalence and derivatives of such semimatrices, relates them to countable wreath product representations of automaton map…
This paper develops a general stability criterion for systems in which small departures from equilibrium are affected by competing stabilizing and destabilizing forces with Maxwell-type relaxation. By deriving and analyzing a cubic characteristic equation with the Hurwitz criterion, it shows that in…
This paper derives macroscopic transport and mechanical coefficients for macroscopically isotropic microinhomogeneous solids whose local properties form continuous homogeneous ergodic random fields, without assuming that the inhomogeneity is small. Using iterative solutions of the stochastic boundar…
The paper develops an algorithm for exploiting information redundancy in multidimensional reproducing systems whose coordinates are homogeneous, closely related, or equal, but are each measured through only one channel. It first formulates a sequential iterative measurement scheme and shows that, al…
This note studies absolutes of homogeneous spaces, especially topological groups and their factor spaces, in the category of completely regular spaces. Using inverse spectra of compacta, irreducible perfect mappings, and structural results on locally bicompact groups, it proves that the absolute of …
This paper examines relationships between solar wind velocity variations and changes in tropospheric pressure and ionospheric F2 layer parameters, with attention to the sector structure and polarity of the interplanetary magnetic field. Using satellite measurements from Vela 2, IMP, Mariner 2, and P…
This note formulates a series of results on the structure and position of normal subgroups in finite groups, with particular emphasis on finite p-groups and on groups expressible as products of permutable or structurally restricted subgroups. It describes p-groups with cyclic Frattini subgroup, refi…
This paper derives formulas connecting the coefficients of a generalized elastic energy density, including dependence on strain gradients, with microscopic force constants of a crystal lattice. Starting from the Born model of a simple lattice in the harmonic approximation, the discrete lattice descr…
The paper studies the extension and construction of normal Hausdorff linear topologies on partially ordered linear structures called K-lineals. It gives conditions under which a normal topology on a sublineal, a structurally complete normal subset, or the bounded part of a function representation ex…
Chernavskii outlines a proof of local contractibility for groups of homeomorphisms of metrizable manifolds under the compact-open, uniform, and majorant topologies, with special attention to compact manifolds and to open manifolds that are interiors of compact manifolds. The argument reduces the glo…
The paper generalizes the Radon-Nikodym theorem to vector measures with values in Banach spaces, weakening earlier restrictions by introducing a more general integral for bilinear operator valued integration. It defines this tau integral, proves its countable additivity, and uses it to represent vec…
This paper studies smooth embeddings of spheres in smooth compact manifolds having the homotopy type of a sphere, comparing smooth isotopy, combinatorial isotopy, and the action of local knots under codimension and connectivity restrictions. It proves that quotienting smooth isotopy classes by local…
This note studies sufficient conditions for optimality in control problems governed by ordinary differential equations, with a terminal cost and terminal constraints on a manifold. It reformulates Boltyanskii’s sufficiency results for regular synthesis, originally obtained by dynamic programming, di…
This paper establishes an a priori estimate for solutions of the Dirichlet problem for a class of hypoelliptic differential equations in a bounded domain with continuously differentiable boundary. Under conditions on the operator’s constant strength, the behavior of its symbol in selected orthogonal…
This note extends Gårding’s inequality to a class of degenerate elliptic operators in a bounded domain of a half-space adjacent to the boundary where degeneracy occurs. Using weighted Sobolev type spaces and mixed Fourier, Bessel transform methods, it formulates Dirichlet integrals associated both w…
This paper studies trace formulas for a self-adjoint operator with discrete spectrum under bounded self-adjoint perturbations. It strengthens a result of Halberg and Kramer by giving conditions under which convergence of the spectral shift sum is equivalent to convergence of the corresponding diagon…
This paper proposes two magnetic-system modifications for charged-particle analyzers intended to improve focusing, luminosity, or resolution. The first is a two-section wide-range spectrograph in which a step change in homogeneous magnetic field strength provides edge vertical focusing, while a symm…
This paper derives an expression for the indicated efficiency of an internal combustion engine by replacing the actual indicator cycle with an equivalent thermodynamic cycle having the same thermal efficiency. The analysis introduces a constant heat capacity working gas approximation, estimates the …
This paper studies structural properties of feathered paracompact, or paracompact p, spaces under closed mappings and in relation to bases. It proves that the closed image of such a space can be decomposed into a countable union in which all exceptional sets are discrete and the remaining fibers are…
This study examines the hexagonal crystal structure of bovine liver catalase and the form and quaternary organization of its molecules. Electron micrographs of negatively stained crystals were quantitatively processed, and an algorithm exploiting P3₁21 symmetry was used to reconstruct spatial protei…
The paper proves a fixed point theorem for generalized condensing operators on closed convex subsets of locally convex linear topological spaces. It introduces a definition based on the bicompactness of sets invariant under the operator and relates this framework to earlier fixed point principles fo…
This paper studies the large-parameter Cartwright-Littlewood type equation with periodic forcing and nonlinear damping under symmetry, monotonicity, and nondegeneracy assumptions, focusing on the parameter range previously conjectured to yield convergence of all solutions. The argument uses asymptot…
The paper proposes a common mass variable, defined as the squared resonance mass minus the squared masses of its two principal decay products, for comparing low energy scattering processes and classifying resonance states. Using tabulated meson meson and meson baryon resonances from contemporary exp…
The paper studies automaton mappings representable by infinite triangular matrices over the symmetric semigroup of an alphabet equipped with an additive semigroup structure, with special attention to Abelian groups, rings with identity, and near-fields. It establishes a construction of the minimal a…
The paper examines whether bremsstrahlung emission from a dense, low-temperature gas-discharge plasma can serve as an efficient pumping source for an optical quantum generator. It argues that the strong photon-energy dependence of bremsstrahlung absorption can produce high intensity in the 1 to 3 eV…
This paper examines compositional inhomogeneity in substituted ferrite crystals, focusing on yttrium gallium ferrite garnet grown from solution in a melt and manganese ferrite based crystals grown by the Verneuil method. Using X-ray microanalysis, the authors characterize zoning, sectorial variation…
This paper reports radio sounding measurements of decimeter wave propagation through the atmosphere of Venus during the descent of the Venera-4 station. Using received signal strength records and statistical processing of amplitude fluctuations, the authors estimate attenuation, scintillation depth,…
The paper addresses a problem of P. S. Alexandrov asking whether every n-dimensional cyclic compactum contains an n-dimensional closed Cantor manifold, equivalently an irreducibly cyclic subcompactum. It constructs a two-dimensional quotient compactum from a disk by identifying vertices of regular p…
The paper analyzes deviations from the electrophotographic reciprocity law that arise when carrier trapping makes the effective drift mobility depend on illumination intensity and exposure time. Using a two-level trapping model for high-resistance electronic semiconductors, the authors derive kineti…
This paper investigates the energy distributions of 30 keV helium ions scattered from polycrystalline solid surfaces, focusing on how the spectra vary with target atomic mass and scattering angle. Experiments on copper, silver, gold, aluminum, and graphite show broad dome-shaped distributions, with …
This paper examines whether intergalactic hydrogen in the hot expanding universe could have been reheated early enough to avoid a neutral phase after recombination. It estimates limits on the redshift of reheating by combining energy losses of hot plasma through inverse Compton scattering on relic r…
The paper refines the crystal structure of synthetic yttrium oxysilicate, Y2SiO5, addressing discrepancies in a previous preliminary determination, including anomalous interatomic distances. Using single-crystal X-ray diffraction data from 800 nonzero structural amplitudes across seven reciprocal-la…
The paper formulates a boundary-value problem for plane motion in a barotropic atmosphere in a bounded simply connected domain, addressing the difficulty of specifying lateral boundary conditions for primitive-equation models. It prescribes the normal velocity on the boundary and, on inflow portions…
This paper studies steady finite amplitude waves on the free surface of an ideal incompressible heavy fluid of infinite depth when a periodic pressure distribution is prescribed on the surface. Using conformal mapping and Bernoulli’s condition, the problem is reduced to a nonlinear integral equation…
This study reports the observation of nuclear magnetic resonance in thin ferromagnetic cobalt films containing Co59 nuclei, using a high sensitivity superregenerative detector at 213.2 MHz and room temperature. Cobalt films were prepared by vacuum evaporation on flat and cylindrical glass substrates…
This paper investigates charging of alpha-active aerosol particles by secondary electron emission, a mechanism expected to become important for highly active radioactive particles in addition to ordinary ion capture. Monodisperse dibutyl phthalate aerosol particles were activated with radon-222 deca…
This note studies a nonlinear boundary value problem for a piecewise analytic function satisfying a power relation on a contour, with nonvanishing coefficient of index kappa and exponents that are boundary values of analytic functions. Using the argument principle, it derives necessary restrictions …
This paper examines the drift mobility of ions moving in their own gas under a constant electric field, where ion braking is governed primarily by resonant charge exchange with atoms. A variational method is developed for the ion velocity distribution function, using exact moment relations from the …
A quantum treatment is developed for the dielectric permittivity of a molecular crystal responding to an external long-wavelength electromagnetic field, under the assumption that molecular interactions occur through the electromagnetic field. Using retarded Green functions for dipole-allowed electro…
This note studies continuous triangular summation methods for Fourier series in eigenfunctions of the Laplace operator with Dirichlet boundary conditions on a bounded normal domain. Using kernel estimates and a comparison with the kernel for the ordinary multidimensional Fourier integral, it establi…
This paper examines steady axially symmetric self-compressing plasma flows in a magnetoplasma compressor, with particular attention to the effect of finite electrical conductivity. The authors solve the dimensionless magnetohydrodynamic equations numerically by a relaxation method for an inviscid pl…
This appendix records the membership of a standing commission established to study the gold-bearing potential of Siberia. It identifies the chair, deputy chairs, secretary, and commission members, giving their institutional affiliations and professional roles across universities, geological administ…
This resolution summarizes the proceedings of a 1966 conference in Tomsk devoted to the study of gold deposits in Siberia and the Far East. Based on 49 reports from academic, geological, and mining organizations, it assesses progress in regional metallogeny, deposit genesis, placer and ore-field stu…
This paper discusses how to periodically synthesize and reinterpret geophysical survey results from gold ore fields in Transbaikalia, using work conducted in 1960 to 1965 on the Darasun and Balei-Taseevo deposits as its basis. It outlines a methodology involving review of archival and field material…
This paper examines the use of magnetic prospecting for forecasting and exploring gold deposits in the Gorny Altai, where many gold occurrences are spatially and genetically associated with relatively basic, magnetically susceptible magmatic rocks. Drawing on magnetic property measurements, aeromagn…
This paper examines how microstructural analysis and measurements of rock physicomechanical properties can support geological and structural studies of gold ore deposits. Using examples from several deposits, it analyzes quartz optical-axis orientations, effective porosity, elastic modulus, and Pois…
