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 investigates the curvature of linearly enveloping cycloidal curves generated by mechanisms with rolling circular centrodes and an enveloping straight line. Using the Euler-Savary relation and comparing with Bobillier’s construction, it derives formulas for the radius of curvature and the …
This paper studies convergence of projection methods for linear equations in Hilbert spaces, including Ritz, Galerkin, moments, and least squares methods, and relates their convergence to a geometric condition on pairs of finite-dimensional subspaces. An elementary proof is given that strong converg…
The paper establishes boundary growth estimates in the L2 metric for polyharmonic functions of arbitrary finite order in a disk, extending analogous results known for harmonic functions and second order elliptic equations. Using Fourier series representations of l-harmonic functions, coefficient tra…
This paper extends Katětov’s dimension equality theorem from compact spaces with zero-dimensional maps into the Hilbert cube to broader classes of Hausdorff spaces using the notion of decomposing mappings. It proves inequalities and equalities among small inductive dimension, covering dimension, lar…
This note studies the locality of approximation operators, asking how far the rate of convergence at a point is determined by the approximated function in a neighborhood of that point. It introduces a local characteristic for sequences of homogeneous operators and proves a general estimate separatin…
This paper examines how the composition of sodium calcium boroaluminosilicate glasses affects their ion exchange, electrode behavior, and acid properties. Using measurements of glass electrode potential as a function of solution pH, the authors determine exchange constants for several glass series a…
This paper addresses the limited characterization of aryl N-glycosides, especially N-galactosides and N-xylosides of substituted anilines, compounds relevant to studies of glycoside structure, stability, and possible biological or preparative applications. Using established Weygand and Sorokin synth…
This paper examines the mechanism of complex formation between azo derivatives of 8-hydroxyquinoline and divalent metal ions, especially Cu2+, Ni2+, and Co2+, in neutral and acidic media. Using physicochemical analysis, equilibrium measurements, electrophoresis, synthesis of a structurally constrain…
This paper reports the discovery and characterization of a new polymorphic modification of beryllium fluoride formed during investigation of the beryllium fluoride, zirconium fluoride system. A mixture containing 4 percent zirconium fluoride was prepared from ammonium fluoroberyllate and ammonium fl…
The paper reports the synthesis of the previously undescribed 1-dimethylamino-3-methylazetidin-2-one from methacrylic anhydride or methacryloyl chloride and unsymmetrical dimethylhydrazine, alongside its isomer, methacrylic acid dimethylhydrazide. The two compounds are distinguished by melting point…
This paper investigates the acid decomposition of thiosulfate, a reaction known to produce sulfur, sulfur dioxide, polythionic acids, and traces of hydrogen sulfide, with emphasis on testing Davis’s proposed mechanism involving sulfane-monosulfonic acid intermediates. The authors decompose thiosulfa…
This study examines the semiconducting behavior of vanadium pentoxide and niobium pentoxide in solid and molten states through measurements of specific electrical conductivity, thermoelectromotive force, and the Hall constant. The authors calculate activation energies, carrier concentrations, mobili…
The paper examines the kinetics and mechanism of O-alkylation of 2-acetylmethylene-3-ethylbenzthiazoline, a reaction in which alkylation occurs at the carbonyl oxygen rather than at the ring nitrogen, possibly through a seven-membered activated complex. Reaction rates were measured for methyl iodide…
This paper derives a temperature coefficient for the surface tension of liquid metals using a statistical electron theory of the metal surface. The calculation extends earlier work by including anharmonic ion vibrations, thermal expansion, changes in ion vibration behavior across the surface transit…
The paper proposes interpreting p-adic numbers as p-ary signal sequences, with multiplication by p corresponding to a delay element, in order to apply p-adic algebra and analysis to the study of sequence-transforming circuits. It outlines basic p-adic notions, defines functional elements such as mod…
This paper examines how the phonon frequency spectrum of a crystal lattice influences the Debye Waller temperature factor governing X-ray, neutron, and electron scattering intensities. Starting from harmonic lattice vibrations, it generalizes the usual Debye treatment to a family of spectra of the f…
This study examines why the decomposition rate of wüstite increases with temperature up to about 400°C and then decreases at higher temperature. Using X-ray structural analysis, magnetic measurements of specific saturation magnetization, and electron microscopy, the authors compare decomposition at …
This paper studies billiard motion in an unbounded planar table bounded by the line y = 0 and a bell-shaped curve y = f(x), focusing on whether trajectories can be unbounded while repeatedly returning to the central axis. Using a phase space representation of successive intersections with the vertic…
The paper compares the minimal number of contacts needed to realize monotone Boolean functions by contact circuits using only closing contacts with the minimum for arbitrary contact circuits allowing opening contacts. It studies the functions expressing that at least two of n variables are equal to …
This paper studies expansions in eigenfunctions for a non-self-adjoint operator generated by a system of second-order differential equations on the whole real axis with a complex matrix potential satisfying exponential integrability conditions. Using specially chosen fundamental matrix solutions, th…
This study examines the mild oxidation of high molecular weight conjugated polyenes prepared by heterogeneous dehydrochlorination of polyvinyl chloride and perchlorovinyl with sodium amylate. The authors compare oxidation rates, oxygen uptake, electron paramagnetic resonance signals, conductivity ch…
This paper studies classes and sets of proper subgroups of finite groups with prescribed properties, extending earlier work on conjugate, isomorphic, and isoordic subgroup classes. It introduces a functional framework for assigning prime divisors to classes of subgroups and applies it to attainable,…
This paper studies the use of the least squares method for approximate solutions of nonlinear operator equations in Hilbert spaces. It establishes convergence of least squares approximations under density, monotonicity, and norm comparison assumptions, derives an error estimate for solvable equation…
The paper addresses the construction of sets of uniqueness failure for trigonometric series with exceptionally small Hausdorff size. It gives a Cantor-type construction of a perfect set and a continuous nondecreasing function, constant on complementary intervals, whose Fourier-Stieltjes transform te…
This paper examines how intrinsic magnetic fields may affect the mechanical equilibrium and observed shapes of planetary nebulae. Using the virial theorem, it estimates that for typical nebular parameters a mean magnetic field greater than about 10^-6 gauss could be sufficient to contribute to expan…
This paper studies local limit behavior for the densities of normalized sums of independent identically distributed random variables with zero mean and unit variance. It refines known conditions under which the integral distance between the density component of the normalized sum and the standard no…
This paper studies a boundary value problem for a system of ordinary differential equations in which a small parameter multiplies the highest derivative. It weakens earlier existence and uniqueness assumptions by restricting hypotheses on the right hand sides to a bounded neighborhood of the solutio…
This note proposes and studies three-dimensional analogues of the Tricomi problem for mixed-type equations, primarily the equation with coefficient changing sign across the plane z = 0 in domains bounded by characteristic cones and conical surfaces. It formulates basic and principal mixed boundary v…
This study examines the infrared spectra produced by adsorption of nitric oxide on synthetic zeolites of types A and X in sodium and calcium forms, with comparison to natural zeolites and to adsorbed nitrous oxide and nitrogen dioxide. Zeolite powders were vacuum treated, exposed to dosed NO, and me…
The paper studies Green matrices for general boundary value problems for parabolic systems in a half-space under constant coefficients and parabolically homogeneous system and boundary operators. Using Fourier and Laplace transform representations and an algebraic solvability condition, it derives a…
The paper studies the size of the effective and ineffective domains of regular matrix summability methods, focusing on bounded divergent sequences. It proves that any regular matrix summing at least one bounded divergent sequence sums a continuum family of bounded sequences whose every finite nontri…
This study examines the polymerization of allylbenzene using a Ziegler-type catalytic system of titanium tetrachloride and triisobutylaluminum, with attention to catalyst ratio, temperature, reaction time, and polymer properties. Experiments in heptane under nitrogen showed an optimum aluminum to ti…
The paper addresses the determination of stress and strain tensors during repeated proportional loading of an elastic-plastic medium that exhibits cyclic hardening under symmetric or nearly symmetric cycles. It models the decrease of plastic strain components with loading number by introducing a mat…
This paper examines how substitution of oxygen for nitrogen affects the electrical properties of titanium nitride in TiN-TiO solid solutions, motivated by both alloy behavior and oxygen contamination in industrial TiN. Single-phase alloys were prepared by ammonolysis of TiO2 and Ti mixtures, then ch…
The paper addresses the preparative deacetylation of carbohydrate derivatives and related polyhydroxy compounds, motivated by limitations of conventional methods such as ammonia in methanol, which can require large solvent quantities and leave difficult impurities. It proposes boiling methanolic sol…
This note gives characterizations of B-completeness for Hausdorff topological linear spaces, with emphasis on ultrabarrelled and barrelled spaces. It formulates equivalent conditions in terms of openness of continuous or closed-graph linear mappings onto spaces of the same class, and continuity of c…
The paper defines a radical associated with a representation of a group by automorphisms of another group, using kernels of the induced irreducible actions on composition factors, and compares it with the locally stable radical. It gives model-theoretic and local criteria for stability conditions an…
This study examines mechanochemical polymerization of solid methacrylamide during vibrational grinding in the presence of inorganic solids such as sodium chloride, barium sulfate, and silica. Experiments varying dispersion time, catalyst concentration, phase state, solvent conditions, inhibitors, an…
This paper analyzes how plasma polarization and interaction with weakly damped sound waves affect transport coefficients in a nonisothermal plasma with electron temperature much greater than ion temperature. Using a kinetic equation with a polarization-corrected collision integral, the electron dist…
This paper examines how electrode potential affects the attraction interaction constant between organic molecules adsorbed on mercury, focusing on tert-pentyl alcohol in sodium fluoride solutions. The authors extend Frumkin adsorption theory to cases in which the interaction parameter varies with po…
This paper analyzes polarographic volume catalytic hydrogen waves in systems where the electrochemical stage is irreversible, extending earlier treatments that assumed Nernstian reversibility. The authors formulate the steady boundary-value problem for the catalytic cycle involving protolytic equili…
The paper constructs a class of continuous homogeneous Markov processes on an open subset of Euclidean space, called Brownian motions with killing measure and speed measure, by applying killing via an additive functional and then a random time change to Wiener process. It formulates the construction…
This paper studies expansions in eigenfunctions and associated functions for ordinary linear differential operators of odd order on a finite interval, with boundary conditions that may be irregular. It introduces a class of boundary-value problems defined by asymptotic conditions on selected coeffic…
This paper studies the nonstationary response of a baroclinic, isothermally stratified atmosphere to weak perturbations, focusing on the influence function for a point source. Starting from the linearized hydrodynamic equations, the author reduces the system to an equation for the vertical mass flux…
This study examines whether elastic properties and internal friction show anomalies near the antiferroelectric Curie point, using polycrystalline ceramic specimens of lead magnesium tungstate, PbMg1/2W1/2O3. Elastic compliance and logarithmic damping decrement were measured with a composite resonato…
This paper studies relationships among zero-dimensional mappings, universal spaces, dimension theory, open mappings, and inverse spectra in general topology. It constructs bicompact universal spaces of prescribed weight and dimension for several classes of spaces, including bicompacta admitting zero…
The paper addresses the construction of Fourier summation methods that converge uniformly for all continuous periodic functions while retaining the best possible approximation order on smoothness classes characterized by derivatives satisfying Lipschitz conditions. It introduces a class of trigonome…
The paper derives a Boltzmann kinetic equation for a relativistic ideal gas in an arbitrary Einstein gravitational field, addressing the difficulty that the usual distribution function depends on a global time synchronization unavailable in general relativity. It formulates particle states as elemen…
This study examines how beta radiation from radioactive isotopes incorporated into tricalcium phosphate affects the catalytic dehydration of isopropyl alcohol to propylene. Radioactive tricalcium phosphate monohydrate catalysts containing calcium-45 or phosphorus-32 were prepared, characterized by X…
This paper analyzes a capacitive voltage divider built into a cable for recording high-voltage pulses with nanosecond rise times. Using an equivalent circuit that includes cable impedance, oscilloscope capacitance, and lead and tube inductance, it derives conditions under which the divider reproduce…
