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 studies when operators on a finite-state memory can be represented as products of simpler operators, using Lyapunov’s formalism of memory states and special form operations. It proves basic decomposition results, including representation of every operator of type n,m by products of n,1 op…
This note examines whether written numerals and alphabetic characters exhibit statistical regularities when classified by topological genus, understood as the number of enclosed regions in a sign. Using decimal numerals and several scripts, including Russian, Latin, Gothic, Greek, Devanagari, Kannad…
This study examines whether synthesized titanium and niobium oxalate derivatives are true complex compounds by comparing their infrared absorption spectra with those of corresponding simple oxalates. Spectra were recorded for alkali, ammonium, and alkaline earth oxalates and for related titanyl oxal…
This paper examines how the charge of an electroactive reacting particle can be determined from the dependence of electroreduction kinetics on electrode potential and supporting electrolyte concentration, while accounting for double layer effects. The authors derive conditions under which comparison…
This study examines the joint extraction of uranyl nitrate and cerium(IV) nitrate from 1.5 N nitric acid aqueous solutions by tributyl phosphate at 25°C. Distribution coefficients for uranium and cerium were measured over a range of equilibrium concentrations and compared with extraction of each nit…
This paper extends Martin boundary theory from the Laplace operator to a second order linear elliptic operator in an arbitrary domain, allowing possible degeneracy at the boundary, and relates the construction to the associated killed diffusion process. It establishes that a nonnegative fundamental …
This paper examines anomalous polarographic behavior observed during the reduction of naphthalenesulfonic acids at a dropping mercury electrode, especially unequal multistep wave heights, kinetic limiting currents, and missing waves for cleavage of final sulfo groups. It argues that these effects ca…
This study examines the isotropic hyperfine structure of electron paramagnetic resonance spectra for alpha,alpha-diphenyl-beta-triphenylmethylhydrazyl and derivatives containing para methoxy or nitro substituents. Air-sensitive radicals were generated and measured under vacuum in benzene or chlorofo…
This paper investigates the temperature dependence of saturation magnetization and the magnetic structure of nickel films produced by chemical nickel plating. Using films deposited under varied bath volumes, replacement schedules, and operating times, the authors measured saturation magnetization an…
This paper studies series of the form formed from an entire function evaluated at scaled arguments, with complex scaling sequences of finite density type. It gives convergence domains for such series, including a star-shaped domain described through the angular distribution of the scaling sequence a…
This note studies when Serre’s upper bound for the Poincaré series of a commutative Noetherian local ring is attained, using the homology of its Koszul complex on a minimal system of generators of the maximal ideal. It gives a necessary and sufficient condition: equality holds precisely when multipl…
This note studies the analytic behavior in the angular momentum variable of the elastic pion pion scattering partial amplitudes within Chew Mandelstam type integral equations. By writing the amplitude as a ratio of functions satisfying coupled integral relations, and by using iteration together with…
This note studies the mean number of divisors of algebraic integers in imaginary quadratic fields, restricted by a norm bound and by the argument lying in a prescribed angular sector. It develops analytic continuations, functional equations, residue formulas, and critical strip estimates for Epstein…
This study examines how aromatic and aliphatic amines affect the fluorescence quenching and photochemical oxidation of anthracene derivatives in alcoholic solution. Bimolecular fluorescence-quenching constants were measured for several substituted anthracenes and compared with amine basicity, ioniza…
This paper reports measurements of slightly inelastic scattering of 660 MeV protons by carbon-12 nuclei at small angles, motivated by the need to distinguish such processes from elastic diffraction scattering in polarization studies. Energy spectra of secondary protons were measured with a magnetic …
This study examines the configuration of fluorine-substituted styrenes, a question not resolved by synthetic studies alone, using dipole moment measurements in benzene at 25 degrees Celsius. Dipole moments were determined for a series of fluoroolefins and substituted styrenes and compared with expec…
This study examines the formation of supramolecular structures in polyethylene directly during polymerization, rather than after processing through melt or solution. Polyethylene was produced in benzene at 60 degrees C and 10 atm using partially chlorinated aluminum with alpha titanium trichloride, …
The paper examines the origin and treatment of “surface” divergences in the Hamiltonian formalism of quantum field theory within Bogoliubov’s method, using the second order boson self-energy contribution in a scalar interaction as the main example. It argues that these divergences arise when the swi…
This study examines how both intramolecular conjugation and solid-state ordering influence the semiconductor properties of conjugated polymers. Polyazophenylenes and related aromatic polymers containing methylene or ethylene bridges were characterized by temperature-dependent electrical conductivity…
This study examines chemical interaction in molten indium, tellurium alloys, with particular attention to the stability and structural behavior of In2Te3 and InTe. Using physicochemical analysis, the authors measured viscosity and electrical conductivity over a wide temperature range for alloys of v…
This note studies finite difference methods for a model Cauchy problem for the Laplace equation, an elliptic problem that is ill-posed in the usual sense but well-posed under Tikhonov-type a priori restrictions. Using Fourier representations and mesh norms adapted to the imposed bounds, it derives e…
This paper examines how molecular conformation affects fragmentation reactions of derivatives of alpha-amino acids, especially compounds containing tertiary nitrogen. The author studies decomposition of N,N-disubstituted alpha-amino acids under phosphorus pentachloride and compares amine yields for …
This paper examines polarographic kinetic currents arising from the slow formation of nickel pyridine complexes in nitrate media. Using measurements of wave splitting, current dependence on pyridine concentration, mercury head, and ionic strength, the study applies Brdička-Wiesner theory to a two-st…
The paper develops a scale of spaces L_p^r intended as a direct extension of Sobolev spaces W_p^(l) to noninteger orders of differentiation for all p greater than 1. It defines generalized partial derivatives of arbitrary order through Fourier-transform multipliers and convolution operators on suita…
This paper analyzes how finite electrochemical reaction rates affect Faradaic impedance in a binary electrolyte when the double layer is included. Extending an earlier treatment for reversible reactions, it derives expressions for the complex resistance under boundary conditions with a finite exchan…
The paper formulates a variational principle for the nonlinear theory of elasticity in which displacements, stresses, and strains are treated as independently varied quantities without imposing internal or boundary constraints in advance. By computing the first variation of a proposed functional, th…
This paper examines structural changes in simple germanate glasses, focusing on binary sodium, potassium, and lead germanate systems and a ternary sodium silicogermanate series. The authors measure density, refractive index, and electrical resistance, and calculate molecular volumes, molecular refra…
This paper examines the deep crustal structure of western Central Asia through a preliminary scheme of the Mohorovičić surface compiled from deep seismic sounding, seismological observations, and quantitative interpretation of Bouguer gravity anomalies. The study identifies a general increase in cru…
This study examines the thermal cyclopolymerization of butadiene to obtain the cyclic dimers vinylcyclohexene and 1,3-dimethylcyclohexadiene, which are relevant intermediates for polymer production. Experiments in a stainless steel reactor with activated carbon packing varied temperature, space velo…
This paper examines the use of chemically pure sodium chloride as a solid support for gas-liquid chromatography of high-boiling and relatively unstable organic compounds. The authors argue that conventional silicate-based supports may promote decomposition, isomerization, adsorption, and excessive r…
The paper addresses nonuniqueness for nonlinear parabolic systems with discontinuous initial data, following a correction to an earlier two-equation example. It constructs a three-equation system in one spatial variable by comparing self-similar solutions with diffusion coefficients depending on the…
This paper investigates the mechanism of the aminonitrile rearrangement observed in reactions of acrolein with salts of unsymmetrical dialkylhydrazines followed by alkalization. The authors argue that β-dialkylaminonitriles form through cyclization to quaternary pyrazolinium salts and subsequent dec…
This paper investigates whether astatine, by analogy with iodine, can form organic derivatives in higher valence states, an area previously supported only by limited indirect evidence. Using short-time classical syntheses adapted for radioactive astatine isotopes and iodine analogues as carriers and…
This paper studies elementary excitations in a superconducting Fermi system at nonzero temperature, extending earlier analyses of collective modes at zero temperature. Starting from a four-operator Hamiltonian, it derives coupled equations for two-time Green’s functions using a decoupling approximat…
This paper examines the mechanism by which strong simple and complex metallohalide acids are extracted from aqueous chloride and other acid solutions into oxygen-containing organic solvents. Using infrared spectroscopy, chiefly on iron extraction into esters, ketones, and ethers, the authors analyze…
This paper analyzes observations of cyanogen halos in Halley’s comet 1910 II to estimate the initial velocities of halo-forming molecules and the acceleration produced by solar radiation pressure. Using published measurements of halo diameters and center displacements, together with a simplified hal…
This note formulates solvability conditions for generalized Neumann problems for the Laplace operator, treating both nonhomogeneous boundary fluxes and homogeneous boundary conditions with interior data. Using capacitary estimates and classes of domains or boundaries defined through conductors and 2…
This note extends Phragmen-Lindelof type results for harmonic functions in a half-cylinder from circular and rectangular cross-sections to an arbitrary domain whose lateral boundary is a Lyapunov surface. It proves that if a harmonic function and its normal derivative on the boundary decay like O(x …
This study examines how tin tetrachloride complexes with unsaturated heteroatom-containing compounds, where coordination may occur either through a heteroatom lone pair or through a carbon-carbon double bond. Using dielectric titration, supplemented by cryoscopic titration and isolation of selected …
This study examines electron paramagnetic resonance spectra of unstable phosphonhydrazyl free radicals in chloroform and acetonitrile solutions, prepared by oxidation of corresponding phosphonhydrazines. The spectra show five-line hyperfine structure from interaction of the unpaired electron with tw…
This paper studies regularity and solvability for general second order quasilinear elliptic equations not necessarily representable in divergence form, extending gradient Hölder estimates previously known in two independent variables to arbitrary dimension. By refining De Giorgi type methods, it pro…
This paper examines the electrostatic theory of weakly ionized polyelectrolytes in electrolyte solution, focusing on the limitations of treating macroion charge as uniformly distributed. The authors model a spherical polymer coil locally as a planar dielectric interface with discrete surface charges…
The paper proves Smale’s conjecture that the geodesic flow on the space of line elements of a compact Riemannian manifold with everywhere negative curvature is structurally stable. It formulates hyperbolicity conditions for a nonsingular flow, requiring a continuous invariant splitting into exponent…
This paper studies analytic iteration for transformations of two variables near a fixed point, seeking one-parameter families satisfying the group law and agreeing with a given analytic map at unit time. Under nonresonance and sign conditions on the characteristic roots, it establishes formal existe…
This note extends the method of separation of variables to stationary scattering by a body of arbitrary shape, without requiring the boundary to coincide with coordinate surfaces. The exterior Helmholtz solution is expanded in spherical harmonics, and Green’s formula is used to express incoming and …
The paper studies local finiteness conditions for single-layer p-groups, that is, p-groups whose elements all have order at most p. Using Kostrikin’s theorem on finite single-layer p-groups, it proves that such a group is an extension of a group with no nontrivial locally finite quotients by a local…
This paper reports high temperature measurements of the enthalpy of tungsten between 2408 and 2820 degrees Celsius, extending previous experimental ranges for this metal. The authors used the mixing method with a reconstructed tungsten heater furnace, optical pyrometric temperature measurement, and …
