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 calculates distortions of the electron equilibrium orbit in a 300 MeV synchrotron caused by deviations of the magnetic field from its design value. Magnetic field measurements in sectors and straight sections were used with an established orbit calculation method to evaluate field charact…
This paper describes the magnetic field correction system developed for a 300 MeV synchrotron to compensate assembly tolerances, eddy currents, residual magnetization, permeability changes, and perturbations introduced during commissioning. It details a set of correction circuits using windings plac…
This paper reports magnetic field measurements performed during preparation of a 300 MeV synchrotron for startup, with emphasis on field behavior at injection and at higher operating fields. The study measured azimuthal distortions of the vertical field component, the magnetic median surface, and th…
This paper describes the mechanical installation and alignment of the electromagnet for a 300 MeV synchrotron. It details the base structure, geodetic and angular marking procedures, use of pressboard shims, block arrangement based on prior field measurements, and iterative sector assembly guided by…
This paper describes the design and manufacture of the electromagnet for a 300 MeV electron synchrotron, conceived as a model for a 1500 MeV machine. It outlines the choice of a racetrack magnet with four straight sections, C-shaped laminated steel yoke, experimentally selected pole profile, and exc…
This paper describes the design and startup characteristics of a 300 MeV electron synchrotron constructed as a model for a planned 1500 MeV machine. It outlines the principal accelerator systems, including the racetrack electromagnet, pulsed capacitor based power supply, 260 kV injector, electrostat…
This survey traces the development of charged-particle accelerators as both a technical field and a means for investigating nuclear and elementary-particle phenomena. Using cyclic accelerators as the main example, it examines the evolution of cyclotrons, betatrons, synchrotrons, storage rings, and n…
This study investigates shear wave velocity sections of the upper mantle beneath Europe using a trial and error search constrained by observed S wave travel times, Love wave group velocities, and S wave amplitude curves. Layered spherical Earth models were parameterized by velocities and boundary de…
The paper studies perfect irreducible continuous mappings of locally bicompact and completely regular spaces, using proximity structures to construct a bicompact extension denoted d_XY and to analyze its functorial properties. It proves that irreducible mappings between bicompact spaces can be repre…
This paper examines the instability of a plane interface between two liquids with different electric or magnetic properties in a constant field directed parallel to gravity. Using the stress balance at the interface, Laplace’s equation for the field perturbation, and an expansion in the amplitude of…
This paper analyzes deep seismic sounding data from a 214 km profile in Kazakhstan to evaluate how deterministic and random heterogeneities in the Earth’s crust affect first-arrival amplitudes and travel times. The authors formulate a statistical crustal model in which longitudinal-wave velocity is …
This paper studies a generalized Abel integral equation on the real line in Lebesgue spaces, with variable Hölder coefficients and a potential-type kernel. Using Fourier transform characterizations of fractional integration and properties of the singular Cauchy operator, it describes the range of th…
This paper examines how hydrostatic compression affects the symmetry of the luminescence center in polycrystalline europium benzoylacetonate, using the splitting of the europium ion transition from the 5D0 to 7F1 level as a diagnostic of the local crystal field. The authors compare the pressure evol…
The work addresses conflicting reports on whether the luminescence quantum yield of neodymium glass depends on excitation wavelength, a question relevant to evaluating laser glass materials. Quantum yields were measured for KGSS-3 and KGSS-7 glasses by comparing absorbed and emitted photon numbers f…
This paper proposes a general mathematical scheme, called an aggregate, for describing complex systems composed of elements that may not fit standard models such as Boolean functions, finite automata, differential equations, or queueing systems. The authors define aggregates through measurable space…
This paper studies a special class of integer linear programming problems defined by binary equality constraints and bounds between zero and one. It proves that the set of integer vertices of the corresponding polyhedron is complete, using lemmas relating complementary integer solutions to total uni…
This note gives new asymptotic mean value results for multiplicative functions under hypotheses on their values at primes and prime powers. A modification of earlier methods yields a general formula for sums of multiplicative functions, together with sufficient conditions involving angular restricti…
This paper examines a simplified nonstationary hydromechanical model intended to assess whether direct solutions of viscous flow equations can reproduce features associated with turbulence. The authors formulate the boundary-layer problem for a plane viscous jet with periodically varying momentum, e…
This paper develops a broader generalized polyharmonic operator for Lebesgue integrable functions in domains of n-dimensional space. Starting from iterated differences between spherical surface means and ball means, it defines upper, lower, and limiting generalized polyharmonic operators of the seco…
This paper addresses diffuse x-ray scattering with satellite maxima in aging Fe, Ni, Ti alloys, where existing one-dimensional modulation models do not adequately reproduce observed isodiffuse patterns. The authors propose and calculate a model of an equiaxed complex in which interplanar spacings ar…
This paper studies the convergence of Rayleigh-type piecewise-linear approximation methods for hydrodynamic stability problems. For plane-parallel flow of an ideal fluid, the Rayleigh eigenvalue problem is reformulated in Hilbert-space terms, allowing approximate operators associated with polygonal …
A dynamic theory is developed for a regenerative optocoupler using a photoresistor as the light receiver, treating the photoresistor generation and recombination kinetics as the dominant source of inertia while retaining the stationary descriptions of the remaining circuit and optical elements. The …
This note studies numerical integration for systems of nonlinear oscillation type \(du/d\lambda=\varepsilon H(\lambda,u)\) on long intervals of length \(O(1/\varepsilon)\), where standard Taylor methods require prohibitively many small steps. The authors propose an expansion based on transformations…
This paper studies when the resolvent of a densely defined unbounded linear operator in an \(L_2\) space is an integral operator of Carleman type. It proves necessary and sufficient criteria in terms of local essential boundedness properties of functions in the operator domain, including formulation…
This paper develops a method for proving a central limit theorem for Y-flows on three-dimensional compact manifolds, avoiding the homogeneous-space techniques previously used for geodesic flows of constant negative curvature. The argument represents such flows as special flows over Y-diffeomorphisms…
The paper studies continuous partitions of completely regular collectively normal spaces in relation to the uniform weight of the ambient space. After defining tau-discrete systems and uniform weight, it proves that if a collectively normal space has uniform weight tau, then for any continuous parti…
The paper constructs an explicit Behnke-Stein kernel, an analogue of the Cauchy kernel, on the torus represented as the Riemann surface of the algebraic function w squared equals (1 minus z squared)(1 minus k squared z squared). Using this kernel and a discontinuous normalized variant, it derives So…
This paper examines whether the 14 month oscillation of mean sea level known as the pole tide is a real oceanic phenomenon rather than an artifact of weak spectral or harmonic signals near the noise level. It derives the expected tide from the variation of the centrifugal-force potential associated …
The paper studies generalized Schauder systems in the space of continuous functions, obtained by replacing the linear tent function with a continuous function \(\varphi\) on the unit interval. It gives sufficient conditions, including monotonicity, interpolation at dyadic points, and a bound on seco…
The paper develops a theory of strongly continuous semigroups of bounded linear operators on a Banach space that may have a summable singularity at zero. It defines the class L, studies the infinitesimal operator and generator, and proves criteria for when the Laplace transform of the semigroup is t…
This paper establishes direct and inverse theorems for best uniform approximation of continuous functions on a finite interval by algebraic polynomials, using a modulus defined through averaging associated with the Legendre operator. Unlike earlier inverse results that yielded smoothness information…
This paper derives a macroscopic transport equation for a passive admixture carried by filtration flow through a porous medium with statistically distributed pore radii and pore-channel orientations. Starting from an elementary balance equation for admixture motion in individual cylindrical channels…
This paper studies an inverse problem for the telegraph equation \(u_{xy}=a(x,y)u\) in a rectangle, where the unknown continuous coefficient is to be recovered from characteristic data and an additional boundary trace depending on a parameter. The solution is represented through a Volterra integral …
This paper reports low-temperature measurements of electroluminescence and current-voltage behavior in beta silicon carbide light-emitting diodes fabricated from phosphorus-doped cubic SiC with fused platinum and boron contacts. At 77 K, the diodes show pronounced brightness hysteresis, with two obs…
This paper studies maximal irreducible primitive solvable subgroups of general linear groups over an arbitrary field through an invariant series involving the maximal abelian normal subgroup and its centralizer. It proves that the subgroup A in this series is uniquely determined by the group, and de…
This paper examines how radiation affects the motion of high-energy electrons in accelerators and clarifies the relation between classical radiation reaction and quantum descriptions of photon emission. Using a quasiclassical quantum-electrodynamic treatment of magnetic bremsstrahlung, the authors d…
The paper develops a model for elastic-plastic media under variable cyclic loading in which material response depends not only on the number of loadings but also on stress amplitude through an accumulated damage function. Within both deformation theory and a simple flow theory, the author introduces…
This note derives a representation for the Laplace transform of exp(−t2) erf(at) over the positive half-line, under stated conditions on the complex parameters a and p. The proof identifies the transform as the solution of a first-order differential equation with a vanishing condition at infinity, y…
This paper studies a class of convolution integral equations on a finite interval that arise in elasticity theory and mathematical physics, focusing on kernels whose Fourier transforms are even, nonvanishing analytic functions in a strip-like domain and have prescribed algebraic behavior at infinity…
This paper addresses the integration of a twelfth order elliptic system arising in Vekua’s refined theory of elastic equilibrium of plates, in which transverse fiber elongation is retained rather than suppressed as in the Kirchhoff Love approximation. Building on the known homogeneous solution, it d…
The paper studies when weak Gaussian distributions, or realizations of Gaussian processes indexed by a compact subset of a Hilbert space, extend to measures on a Banach space or define bounded and continuous linear forms. It formulates conditions in terms of the epsilon entropy type of the compact u…
This paper reports measurements of Earth and atmospheric thermal radio emission from the Kosmos-243 satellite at wavelengths of 8.5, 3.4, 1.35, and 0.8 cm, aimed at developing microwave methods for geophysical remote sensing. Using radiometric brightness temperatures and atmospheric absorption relat…
The paper studies integral equations of potential type on closed Jordan curves of bounded rotation without return points, considered in the spaces \(L_p\) for \(1<p<\infty\). Following earlier work on weighted \(L_1\) spaces, it reduces the local behavior near corner points to convolution-type opera…
This note generalizes the Weierstrass, Dedekind theorem on finite-dimensional algebras without nilpotent elements over an algebraically closed field. It proves that associativity and commutativity may be replaced by the weaker zero-associativity condition \(x(yz)=0\) if and only if \((xy)z=0\), toge…
This paper develops a numerical method for linearized baroclinic ocean circulation problems in a cylindrical basin of constant depth, using orthogonal vertical expansions to reduce the governing equations to two-dimensional modal problems. A time-discrete formulation leads, after elimination of velo…
The paper studies the possible arrangements of ovals of nonsingular real plane curves of degree six, especially those with nine to eleven ovals, in relation to earlier constructions of Harnack and Hilbert and restrictions from Petrovskii’s theorem. It states a corrected classification claim: types b…
This paper proves a transfer theorem for sums of a random number of independent, identically distributed random variables in a triangular array. Under convergence of a fixed-index sum, convergence of the normalized counting variable, and proportional growth of the normalizing constants, the limiting…
This paper analyzes contraction of a cylindrical gas discharge in the volume regime, where electron diffusion to the walls is neglected relative to ionization and recombination. Using coupled energy balance equations for electrons and neutral gas, a Saha relation for electron density, and specified …
The paper addresses the time dependence of the macroscopic magnetic moment of a paramagnet in a prescribed time-dependent magnetic field. Using Robertson’s projection-operator scheme for nonequilibrium statistical mechanics, the authors formulate exact integro-differential equations for magnetizatio…
