SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper develops a theoretical treatment of the energy spectra of beta radiation as it passes through a homogeneous isotropic medium, with attention to applications requiring knowledge of electron distributions at different penetration depths. The authors formulate an electron transport equation …
A mathematical model is proposed for cavitating liquid flow in which cavitation nuclei are uniformly distributed in an incompressible liquid and bubbles appear when pressure falls below a critical value. Unlike earlier homogeneous compressible-medium approaches, the model incorporates the radial dyn…
This paper reports the synthesis of phosphorus-containing esters of acrylic and methacrylic acids, motivated by interest in element-containing acrylate and methacrylate monomers with potentially useful polymer properties. Acrylic and methacrylic acid chlorides were reacted with esters of alpha-hydro…
This study examines the polar properties and complex-forming ability of organotin chlorides, focusing on how replacement of chlorine atoms in tin tetrachloride by organic radicals affects dipole moments and donor acceptor interactions. Dipole moments were measured in hexane, benzene, and dioxane, an…
This study examines the polarity and electronic structure of pyridinium cyclopentadienylide, N-benzylpyridinium-gamma-cyclopentadienylide, and diphenylcyclopropenone through dipole moment measurements in solution. Using the heterodyne method in benzene and dioxane, and Hedestrand calculations for th…
This paper examines whether dispersion relations can be derived in nonlocal field theory from a macrocausality condition rather than from local commutation assumptions. Using earlier estimates for scattering matrix elements with finite wave packets, it analyzes the growth of wave-packet derivatives …
This paper investigates a preparative route to physiologically relevant 2-aralkylindandiones-1,3 through selective catalytic hydrogenation of 2-aralkylideneindandiones-1,3. Using skeletal nickel partially modified with potassium iodide in alcoholic solution, the authors reduce the carbon carbon doub…
The paper studies continuity criteria for Nemytskii operators generated by functions measurable in the independent variable and continuous in the dependent variables, acting between Orlicz spaces in the Zaanen, Luxemburg formulation. It first gives necessary and sufficient growth conditions for such…
This note studies boundary-value problems on the whole real line for a special second-order nonlinear differential equation with limiting conditions at negative and positive infinity, and for an analogous autonomous third-order equation. For the second-order problem, it establishes existence under g…
This study examines the structure and association of lithium alkoxides, especially lithium tert-butoxide, using infrared absorption spectra together with conductivity, dipole moment, cryoscopic molecular weight, and luminescence observations. The measurements indicate that the O,Li bond in lithium t…
The paper examines the nonequilibrium state of a gas in the Knudsen layer near a solid wall during plane shear flow, where the molecular distribution differs from the bulk Chapman-Enskog form. Using a Boltzmann-equation formulation with diffuse reflection at the wall, the authors split the distribut…
This paper investigates how vertical vibration reduces resistance to transportation in bulk materials and related conveying systems. The authors describe an experimental vibrating-table apparatus with adjustable amplitude and frequency, measuring resistance for crushed stone transported over a vibra…
This paper studies quadrature formulas for multidimensional integration over the unit cube using deterministic point nets, measured by a dyadic nonuniformity quantity that controls the error for functions in the Hölder-type class \(H_\alpha\). It defines this measure through irregularities of dyadic…
This paper develops convergence and divergence tests for multiple series with positive terms, extending root and ratio type criteria along rays in the positive orthant. It introduces a condensation procedure for multiple series and proves, under positivity, continuity, and monotonicity assumptions, …
The paper studies functions of several variables with different differentiability orders and integrability exponents in different coordinate directions, using anisotropic spaces defined through directional derivatives and finite differences. Starting from an integral identity for mixed derivatives o…
This paper examines why polymerization of monomers in the solid state can occur either slowly in crystals or explosively at very low temperatures. Using thermal analysis and polarized light observations of frozen molecular mixtures of acrylonitrile or methyl methacrylate with magnesium, the authors …
The paper constructs finite integral Hankel transforms from expansions in eigenfunctions of a Sturm-Liouville problem whose differential equation is Bessel’s equation on a finite interval with third-kind boundary conditions. It derives the eigenfunctions, characteristic equation, normalization, and …
This paper analyzes anisotropic scattering of electrons by ionized impurities in semiconductors with ellipsoidal constant energy surfaces, assuming a scalar dielectric constant and a screened Coulomb impurity potential. Using the Born approximation and a spherical harmonic expansion of the kinetic e…
This paper completes the regularity theory for convex surfaces in Euclidean space whose intrinsic metric is sufficiently regular and has positive Gaussian curvature. Building on the author’s earlier result for metrics of class at least C5, the argument uses analytic approximation by convex caps, Hei…
This paper analyzes the collision and decay of rotational discontinuities in magnetohydrodynamics, extending earlier classifications of shock, rarefaction, contact, and rotational wave interactions. Using jump relations and geometric diagrams in the space of velocity discontinuities, it represents p…
The study examines how free radicals are generated at the start of liquid-phase cyclohexanol oxidation in the presence of oxygen, addressing whether initiation occurs through a bimolecular reaction or a trimolecular process involving two alcohol molecules. Using alpha-naphthol as an inhibitor, the r…
This study examines how the physicochemical nature of lubricants affects their performance during metal forming, using wire drawing of aluminum rods as the experimental method and shear stress in the lubricating layer as the main measure of lubricating action. Comparisons among hydrocarbons, alcohol…
The paper introduces the notion of a continual basis in a separable Hilbert space, formulated as a linear mapping into measurable functions with a unique integral representation of each inner product. It defines conjugate, integrally bounded, orthogonal, Bessel, Hilbertian, and Fischer-Riesz mapping…
This paper investigates how artificially generated turbulence in closed vessels affects spark ignition limits and turbulent flame propagation in gas mixtures. Experiments on propane, methane, and hydrogen mixtures with air or oxygen, including dilution with helium or argon, compare ignition limits, …
This paper studies extremal norms of linear operators on continuous functions on the interval [-1,1] that reproduce the kth derivative on algebraic polynomials of degree at most n, comparing general operators with operators whose values are polynomials of degree at most n. It proves that in the nonp…
This communication reports the synthesis and characterization of triethyltin peroxide, an organometallic peroxide of the type not previously described for tin. The compound was prepared from triethyltin oxide and anhydrous hydrogen peroxide under dehydrating conditions, and its composition was suppo…
This paper examines the angular distribution of mesons produced in very high energy nucleon collisions within a scalar meson-nucleon model that excludes antifermions and neglects direct meson-meson interactions. Using a system of coupled equations for the transition matrix and the Bloch-Nordsieck ap…
This short paper reports an experimental observation of cooling in two-phase supersonic flow formed by injecting water into a supersonic air stream. Water was introduced at the exit of a Laval nozzle at Mach 1.2 and Mach 3.0, with air and water initially at 15 degrees Celsius, and a steel rod placed…
This study examines the addition of triphenylmethyl radicals to enyne hydrocarbons and related trimethylsilyl-substituted enynes. Using triphenylchloromethane and metallic mercury under inert conditions, the authors prepared radical adducts and assigned structures chiefly from infrared spectra, elem…
This paper examines divergent diagrams in the formal perturbation expansion for the mass operator of a nonideal Fermi Dirac system and relates them to the displacement of branch points in the one-particle Green function. Using diagrammatic rules for particle and hole contributions, partial self-ener…
This paper studies the Green function for a second order uniformly parabolic equation in a bounded domain with a sufficiently regular boundary and Robin type boundary condition. Under weak regularity assumptions on the coefficients and boundary data, it records representation of solutions by the Gre…
This paper investigates the synthesis of 4-azafluorenone derivatives lacking an aryl substituent at position 1, with the aim of obtaining 2-carboxy-4-azafluorenones from indandione derivatives while avoiding competing cyclization. The authors develop an unsymmetrical three-carbon condensation of ind…
The paper develops an analogue of Schmidt’s reduction method for a nonlinear integral equation arising from the Dirichlet problem for the equation with quadratic nonlinearity in a bounded planar domain. Using Green’s formula and weighted a priori estimates, it obtains bounds for all possible solutio…
This note establishes estimates for the analytic capacity of bounded closed plane sets, using approximation by rational functions with poles off the set and the relation between analytic capacity and the quantity \(p_F(1)\) when the boundary length parameter is finite. The authors derive comparison …
This study applies visible absorption spectrophotometry to determine the composition and coordination structure of cobalt chloride complexes formed in molten and crystallized systems of anhydrous cobalt chloride with alkali-metal chlorides. Thin polycrystalline films from melts containing CsCl, RbCl…
This note studies discontinuous variational problems in an \((n+1)\)-dimensional space, where the integrand has a first-kind discontinuity across an intermediate manifold and admissible curves have movable endpoints and a corner on that manifold. It formulates the minimization problem for a broken c…
This paper examines the composition of unit cells and limiting adsorption volumes of dehydrated synthetic zeolites of types A and X, using chemical composition and X-ray structural data. It derives relations between the silica to alumina ratio and the number of oxide formula units per cubic unit cel…
This study examines the pyrolysis, photolysis, and reactions with nitric oxide of polyfluorinated nitrosoalkanes, a class whose thermal and photochemical behavior had been little explored. Experiments with polyfluoronitrosoethanes and trifluoronitrosomethane showed that heating commonly yields corre…
This study examines double oxide formation in the uranium, tungsten, oxygen system, a system for which prior data were limited to aqueous uranyl tungstates and polytungstates. Using X-ray phase analysis, the authors investigated products from reactions among uranium and tungsten oxides, vacuum decom…
The paper derives an exact self-similar solution for plane one-dimensional relativistic hydrodynamic motion of an ideal medium when a discontinuity includes a jump in the transformation of rest mass. Using algebraic integrals for mass, energy, and momentum fluxes, the author constructs solutions on …
This paper examines conditions under which combustion of condensed mixtures proceeds in a kinetic regime, where the burning rate is governed by chemical reaction and heat transfer rather than by mixing of components. It analyzes cases in which components can mix completely within the preparatory zon…
This study examines whether the hydrogen atoms of acetyl chloride, when associated with acylium ion formation, exhibit proton mobility analogous to that observed in aliphatic carbonium ions. The authors measured isotopic exchange between acetyl chloride and deuterium chloride in nitrobenzene at 25 d…
The paper proves that the elementary theory of the class of all finite groups is undecidable, addressing a problem noted by Tarski, Mostowski, and Robinson. The argument first constructs, for finite-dimensional algebras over an arbitrary fixed field, first-order formulas that represent any normally …
This paper examines how incorporation of radioactive sulfur during preparation affects the vapor adsorption properties of barium sulfate precipitates. Nonradioactive and sulfur 35 containing barium sulfate samples were characterized by BET surface area measurements and tested for adsorption of n-hex…
The note proves a limit theorem for normalized sums of independent random variables whose densities may take nonpositive values and whose moments vanish up to order \(2q-1\), with a prescribed \(2q\)-th moment. Under analogues of bounded variance and Lindeberg conditions, together with an additional…
The paper proves a Phragmén-Lindelöf type principle for solutions of first-order linear elliptic systems with constant matrix coefficients in a half-strip. For systems whose principal matrix has eigenvalues with nonzero imaginary parts, it assumes controlled Hölder behavior and growth on the two hor…
This study examines the gaseous products formed during thermal dehydration of amorphous and crystalline silica and relates them to the oxidizing properties of the dehydrated surface. Using mass spectrometric analysis under varied preparation, purification, hydration, and heating conditions, the auth…
This study examines how solid state polymorphic transformations affect thermal conductivity in an organic compound, using dichlorobenzene as a model substance. Thermal conductivity was measured from 98 to minus 40 degrees Celsius in liquid and solid states by a calibrated steady state relative metho…
This note extends Linnik-type results on the least prime in an arithmetic progression to prime ideals in algebraic number fields and to primes represented by primitive binary quadratic forms. Using zero-free regions and zero-density estimates for Hecke zeta functions, together with contour integrati…
