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 examines Pi2 geomagnetic pulsations recorded at the magnetically conjugate stations Sogra and Kerguelen during two observation intervals in 1964 and 1966, using both differing and identical microvariation instruments. Analysis of 176 pulsation events with periods of 40 to 180 seconds comp…
This electrical engineering paper concerns the excitation of self-oscillations in nonlinear direct-current circuits. From the available translated text, the work appears to focus on formulating a condition for when such oscillations arise, but the excerpt does not provide the circuit model, analytic…
This paper studies conditions for the existence of factorial moments of the number of upward crossings of a fixed level by a Gaussian stationary process. Starting from the standard integral representation for these moments, it gives sufficient conditions in terms of integrability of conditional mean…
This paper compares the crystallization behavior of cubic boron nitride and synthetic diamond produced under ultrahigh pressure and high temperature. Using microscopic examination of polished, undecomposed sinters and leached aggregates, the authors observe that diamond occurs as separate well facet…
This paper experimentally examines how placing a Raman-scattering sample in a Fabry-Perot resonator affects observed spectral intensities, motivated by theoretical predictions of substantial brightness enhancement. Using a modified spectrometer and interferometer mirrors, the authors find that altho…
The paper addresses the failure of the Noether property for the homogeneous Dirichlet problem for multidimensional elliptic systems of second order. It constructs, in Euclidean spaces of arbitrary even dimension, a class of elliptic second order systems obtained as the product of two first order mat…
The paper studies multiple Hecke series for the full linear group over a central division algebra over a p-adic field and related zeta-functions defined by zonal spherical functions. It proves that the multiple Hecke series is a rational function in its several variables with coefficients in the int…
Braginskii analyzes the physical limits on detecting rare stable particles with fractional electric charge in matter, focusing on Millikan-type experiments in which small forces on charged bodies must be distinguished from Brownian and instrumental noise. The paper estimates detection bounds for par…
This paper formulates a statistical description of turbulent motion in a viscous incompressible fluid starting from the Navier-Stokes equations. After eliminating pressure, it argues that the harmonic part of the pressure is nonrandom under regularity and decay assumptions, and derives a hierarchy o…
This paper compares natural ballas diamonds with experimentally synthesized spherical diamond formations in order to clarify their morphology, internal structure, and conditions of formation. Using fracture observations, polished sections, surface microscopy, and X-ray diffraction patterns, the auth…
The paper studies integral norm estimates for Laplace eigenfunctions with Dirichlet boundary conditions, motivated by convergence questions for Fourier expansions in eigenfunction systems and by the c-property for orthogonal systems. Using explicit eigenfunctions in a product of a disk and a cube, a…
This paper examines the growth forms of artificial diamond crystals in metal carbon systems and their relationship to pressure, temperature, and solvent composition. The authors distinguish seven principal crystallographic types within the continuous cube to octahedron series and report pressure tem…
This paper studies the asymptotic structure of solutions of periodic dissipative differential equations in Banach spaces, including equations generated by unbounded operators and evolutionary boundary value problems. It develops fixed point principles for monotone dissipative operators on regularly …
The paper studies first order canonical differential operators in a separable Hilbert space on the half-line, with a skew unitary operator defining the canonical structure and an operator-valued summable potential satisfying an anticommutation condition. Using fundamental solutions and integral repr…
This paper examines the angular and energy regularities of secondary ions scattered from the heated (110) surface of a molybdenum single crystal under alkali ion bombardment. Using an electrostatic energy analyzer, the authors measure energy spectra for varying primary ion energies and incidence or …
The paper studies a class of free-boundary problems for the heat-conduction equation on a time-dependent interval, motivated by the impact of a viscoplastic rod against a rigid obstacle. It formulates boundary conditions in which the moving endpoint is constrained by an operator acting on the unknow…
This paper reports an experimental study of triple backscattering of beta electrons from elemental targets, motivated by the potential use of higher order backscattering to improve sensitivity in composition analysis. An apparatus using thallium-204 sources, parallel scatterer plates, shielding, abs…
The paper addresses a problem posed by Erdős concerning infinite sequences over a finite alphabet in which no two adjacent segments have the same multiset of symbols. It constructs a specific block of length 20 on five symbols with several parity and asymmetry properties, then uses cyclically shifte…
This paper studies small nonzero solutions of nonlinear operator equations of the form Ax = (1 + μ)x in a Banach space, where A is decomposed into linear, quadratic, and higher order terms and the eigenvalue 1 of the linear part has a two-dimensional eigenspace. Using cone methods and the eigendirec…
The infrared vibrational absorption spectra of cyclic polydimethylsiloxanes, [(CH3)2SiO]n with n = 4 to 7, are examined to determine quantitative band parameters previously known mainly from positions and qualitative intensities. Using spectrophotometric measurements over 400 to 3000 cm-1 for pure l…
The paper develops a quasi-isotropic geometrical-optics approximation for electromagnetic wave propagation in weakly anisotropic inhomogeneous media, where the usual representation as independent normal waves is not applicable. Treating the anisotropic part of the dielectric tensor as a small pertur…
The paper investigates coherent, collective interaction of nuclei with resonant gamma radiation in regular crystals, where dynamical diffraction theory predicts changes in resonance behavior and possible suppression of inelastic nuclear reaction channels. Using a two-crystal gamma-ray spectrometer c…
The paper reexamines the resolving power of diffraction gratings and telescope objectives with emphasis on how fine diffraction structure from a bright source limits the detection of nearby weak signals. Using standard diffraction formulas for a plane grating and a circular aperture, it analyzes the…
This paper analyzes the low-frequency drift-dissipative instability of trapped particles in a dense plasma confined in a toroidal magnetic field. Using the drift kinetic equation with a Landau collision term, the authors derive averaged equations for trapped ions and electrons in the regime of frequ…
This paper examines temperature nonuniformity on the faces of Rochelle-salt crystals during growth and dissolution from aqueous solutions, a phenomenon arising from heat release during crystallization and influenced by heat and concentration fluxes near the crystal surface. The authors constructed a…
This note compares the complexity of realizing Boolean functions by finite automata without external memory and by Turing machines, where complexity is measured as the product of the number of internal states and worst case computation time. It defines several classes of allowed input variable order…
This paper studies a Tricomi-type boundary-value problem for a second-order equation of mixed parabolic-hyperbolic type in a domain separated by the line of degeneracy. Under sign and regularity assumptions on the coefficients, the authors establish an extremum principle for regular solutions, which…
This paper studies solvable varieties of groups contained in products of nilpotent and abelian varieties, with particular attention to varieties that do not contain the variety of all metabelian groups. Using module-theoretic arguments over integral group rings, annihilator ideals, and several lemma…
This note formulates differential equations for filtration of gas condensate systems in porous reservoirs while accounting for both liquid condensate formation and sorption processes. Under assumptions of thermodynamic equilibrium, ideal gas behavior, isothermal Darcy flow, immobile condensate below…
This paper derives second-approximation equations for the asymptotic damping of small disturbances in axisymmetric flow of a viscous, heat-conducting gas past bodies of revolution, allowing both sonic and supersonic incident speeds. Starting from the continuity, Navier-Stokes, and heat-transfer equa…
The paper studies permutation Mealy automata and the operators realized by them, focusing on enumeration, connectedness, degree of distinguishability, and diameter in asymptotic regimes. It derives asymptotic formulas for the number of such automata and nonisomorphic operators, and shows that when t…
This paper studies nuclear structures in locally convex spaces through the decrease properties of equicontinuous subsets of dual spaces. It defines the nuclear topology associated with a given topology, characterizes it as the topology of uniform convergence on nuclear subsets of the dual, and relat…
This paper investigates turbulent heat transfer in nonisothermal air flow in a smooth vertical pipe by determining correlations between velocity and temperature pulsations. Experiments at Reynolds number about 32,000 used hot-wire anemometry with varied wire orientation and overheating to measure ve…
This note addresses whether the multiplicity of a base is preserved under mappings in general topology, giving a positive answer to a question of P. S. Aleksandrov. It proves directly that if a perfect mapping sends a space with a base of multiplicity at most a cardinal \(\tau\) onto another space, …
This paper states a series of results on mappings associated with topological groups, continuing work on free topological groups by Markov and Graev. It introduces classes of spaces such as amoebic, D-bicompact, and standard spaces, and shows that broad classes of topological groups can be represent…
This paper formulates a planar model for stationary electrochemical machining as a Cauchy problem for the Laplace equation, in which the workpiece boundary supplies both potential and normal derivative data and the tool is sought as a level curve of the resulting potential. Assuming analytic boundar…
This paper studies superselection rules in the Hilbert space formulation of quantum theory, focusing on whether such rules must commute and on their relation to complete sets of observables. It argues by decomposing the Hilbert space into the closure of the linear span of physically realizable state…
The paper addresses the construction of invariant equipment and a canonical frame for an m-parameter manifold in projective space, consisting of m-dimensional surfaces through whose points pass m distinguished lines in general position. Using moving frames, Pfaffian differential forms, and successiv…
This paper evaluates whether regionally metamorphosed strata, commonly regarded as unsuitable for paleomagnetic study, can preserve useful primary remanent magnetization. Drawing on paleomagnetic investigations from 1959 to 1966 in greenschist facies rocks on the western slope of the Polar Urals, it…
The paper studies well-posedness, in the sense of Tikhonov, for unconditional minimization problems for functionals on Banach spaces, with emphasis on convergence of minimizing sequences. It establishes sufficient conditions involving monotone nonlinear operators, positivity or quasi-negativity of a…
The paper develops and justifies an operational method for mixed initial boundary value problems for systems of linear parabolic differential equations on adjacent intervals with discontinuous coefficients and boundary conditions that may contain time derivatives. The problem is reduced to homogeneo…
The paper studies Sobolev-type plane mappings with generalized derivatives and the behavior of such mappings on level sets of Sobolev functions. It proves that if a mapping belongs to an appropriate class and the level function has conjugate integrability, then almost every level set has rectifiable…
This paper studies zeta functions with non-abelian characters associated with an arbitrary central simple algebra over a number field, motivated by their relation to Hecke operators and automorphic functions. After defining local and global spherical functions, automorphic functions on the idele gro…
The paper studies representations of the group SU(2,1) induced from finite-dimensional irreducible representations of the subgroup MN in an Iwasawa decomposition, with N acting trivially. It realizes these representations on spaces of square-integrable functions on a subgroup isomorphic to U(2), dec…
This paper reports experimental evidence for two distinct groups of Barkhausen jumps in annealed silicon iron wire specimens. Using an apparatus equipped with a pulse integrator, the authors observed anomalously long jumps with durations and magnetic moment changes more than two orders of magnitude …
The paper develops a method for treating the Schrödinger equation for many-particle systems, illustrated in detail for three particles with pairwise central interactions. It transforms the equation to relative coordinates and derives a symmetric form together with the necessary constraint conditions…
This paper examines the rotation of the plane of polarization of light during propagation in spatially inhomogeneous, nonabsorbing isotropic media. Starting from Maxwell’s equations and representing the electromagnetic field with respect to the ray’s natural trihedron, the authors show that the refi…
