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 simple scalar field model within a formalism of quantized space-time, where coordinates are noncommuting operators and field-theoretic constructions are formulated in curved momentum space. It defines the interaction and formal S-matrix using a modified convolution, volume elem…
For Gevrey classes \(C(n^{n\alpha})\) with \(\alpha>1\), the paper addresses a Carleman type interpolation problem: realizing prescribed derivative values at the origin under the corresponding growth condition. It constructs explicitly, by means of cutoff functions \(a_k(x)\), a Taylor like series w…
Rhenium LIII X-ray absorption spectra were measured for metallic rhenium and several ReII, ReIV, and ReVII coordination compounds to examine how absorption-edge shifts and fine structure reflect bonding, effective charge, and local coordination. The study analyzes photographic spectra near the absor…
The paper studies four-point finite difference schemes on a hexagonal grid for approximating the planar Laplace operator, addressing the usual objection that their local approximation is only first order. It shows that, because leading local errors have alternating signs at neighboring grid points, …
This note studies uniform approximation of subsets of dynamic limit sets by semitrajectories in metric dynamical systems, extending earlier work on minimal omega-limit sets. It introduces psi-limit points, those uniformly approximated by a positive semitrajectory, and characterizes the corresponding…
This study examines whether the sensitivity of nuclear photographic emulsions can be controlled during irradiation by changing the concentration of free hydrogen ions. Unsupported type P emulsions were irradiated with gamma rays, neutrons, recoil protons, and relativistic protons while immersed in a…
This paper reports an unexpected route to gamma-trinitromethyl ketones during attempts to add nitroform to acetylene derivatives. Reactions of nitroform with vinylacetylene and butyne-2-diol-1,4 in the presence of divalent mercury and moisture gave carbonyl-containing products rather than the antici…
This paper reports the synthesis and characterization of polymerizable organothallium derivatives of acrylic, methacrylic, and p-vinylbenzoic acids. Diphenylthallium acrylate, diphenylthallium methacrylate, and diphenylthallium p-vinylbenzoate were prepared by reactions of diphenylthallium bromide w…
This paper studies summability of orthogonal series in L2 by Euler methods and by the exponential Borel method, in relation to subsequence convergence methods. It introduces equivalence of summation methods in L2 and proves that all Euler methods with positive parameter, together with the Borel meth…
Dimethyldichlorogermane was examined as a germanium analogue of dimethyldichlorosilane in reactions with lithium in tetrahydrofuran, with attention to possible intermediate formation of dimethylgermylene. Depending on temperature, the reaction gave mainly dodecamethylcyclohexagermane or an insoluble…
This study applies electron positron annihilation measurements to examine how ordering affects the maximum momenta of conduction electrons in Ni3Mn, Cu3Au, and CuAu alloys. Angular distributions of annihilation photons were measured for ordered and disordered specimens prepared by quenching and anne…
This study applies proton nuclear magnetic resonance to compare molecular motion in the polysaccharides amylose, lichenin, and cellulose, using vacuum dried samples measured from room temperature to minus 100 degrees Celsius. Line widths and second moments at 21 MHz were compared with those of malto…
This note studies representations of abstract semigroups by binary relations on a set, extending earlier work on representations by transformations and partial transformations. It introduces the majorant extension of a binary relation to the power set, shows that this construction preserves the semi…
This paper applies an asymptotic approximation method for systems with a rotating phase to the dynamics of the Boussinesq-Sardeau regulator, a device intended to ensure uniform lowering of a suspended load. The general averaging procedure eliminates the fast phase from a system of differential equat…
This paper studies stabilization as time tends to infinity for the Cauchy problem for a linear parabolic equation in several spatial variables with time-dependent coefficients. Using an explicit fundamental solution and Gaussian integral representation, it relates the limiting behavior of solutions …
This paper studies inversion problems for asynchronous partial finite automata, motivated by parallels with unique decodability and finite-memory decoding in coding theory. It defines several forms of unambiguity, including one-to-one behavior on finite words, weak one-to-one behavior, and one-to-on…
This paper proposes an approximate procedure for computing a Regge pole relevant to high energy diffraction scattering, using analyticity, unitarity, threshold behavior, and constraints excluding unobserved bound and ghost states. The Regge trajectory is represented as a polynomial in a conformal va…
This paper develops a theoretical treatment of deposition of highly dispersed aerosol particles from a slow gas flow onto an ultrathin stationary cylinder whose radius may be comparable to or smaller than the molecular mean free path. Using the convective diffusion equation with a concentration jump…
This paper addresses the difficulty of obtaining pure stereoisomeric unbranched olefins whose boiling points are too close for efficient separation by ordinary rectification. The authors describe a preparative gas liquid chromatographic apparatus using a refractory brick support impregnated with a s…
This paper studies heating and melting of a solid body caused by friction with a high-velocity viscous liquid flow in a formulation that, unlike earlier work, does not admit a self-similar solution. The moving boundary problem is posed for the solid, melt, and surrounding liquid, including heat cond…
The study examines how high pressure affects the vibrational absorption spectrum of chloroform, with particular attention to changes accompanying the transition from liquid to solid under compression. Using a high-pressure optical cell and infrared spectroscopy, the authors measured shifts and shape…
This note develops a homotopy theory for functors on the category of pointed completely regular topological spaces, motivated by a justification of Eckmann-Hilton duality. It defines homotopy of functor maps, fibrations, cofibrations, fibers, cofibers, homotopy and cohomology groups of functors, and…
This paper examines the determination of beryllium in ores and beneficiation products using gamma radiation accompanying the alpha induced neutron reaction, rather than neutron counting or photonuclear methods. The authors argue that registering high energy gamma quanta from excited carbon nuclei fo…
The paper studies boundary value problems for the Poisson equation in a rectangle, covering Dirichlet, Neumann, and mixed boundary conditions. It generalizes a regularity criterion for the Laplace equation by giving necessary and sufficient corner compatibility conditions for the solution to belong …
This paper examines the formation and expected solar fluxes of the resonance lines He II 304 Å and He I 584 Å in active and quiet regions of the solar atmosphere. Using previously developed atmospheric models with height-dependent electron temperature, electron density, and helium ionization balance…
This study examines the cationic activity of dialkylaluminum chloride in the polymerization of isoprene, isobutylene, butadiene, propylene, and styrene under varying solvents, temperatures, and cocatalyst conditions. Experiments show that in nonpolar solvents polymerization requires cocatalysts such…
This paper reexamines the preparation of organomagnesium compounds from alkyl halides and magnesium in the absence of ether, amines, or other conventional Grignard catalysts. The authors show that butyl and higher alkyl halides react readily with magnesium without solvent or in hydrocarbon media, of…
This paper studies the asymptotic behavior of convolution powers of probability measures on complex unimodular groups, especially beyond the symmetric case. Using principal series representations and associated integral kernels, it reduces questions about sets determined by eigenvalue inequalities t…
This study examines how aromatic amines protect polymethyl methacrylate from radiation-induced degradation and whether their action occurs through radical reactions or earlier energy or electron-transfer processes. Films containing several aromatic amines were irradiated with cobalt-60 gamma rays at…
This paper studies linear operators from the space of continuous periodic functions into trigonometric polynomials of bounded order, without assuming that the operators preserve each Fourier mode diagonally. It constructs an associated convolution type operator determined by the diagonal coefficient…
This paper examines the generalized-function character of commutation functions, field operators, and state vectors in scalar quantum field theory, focusing on the ambiguities that arise when singular “explicit” commutator expressions are used directly. It proposes replacing such expressions by limi…
This study examines gamma radiation induced synthesis of organosilicon and silicon fluoroorganic chlorosilane derivatives, compounds of practical importance but difficult to obtain by conventional routes. Mixtures of olefins, fluorinated olefins, benzene or chlorobenzene with hydrogen-containing chl…
The paper studies linear polynomial operators from the space of continuous periodic functions into trigonometric polynomials of bounded order, with particular attention to operators that commute with translation. It introduces an averaging construction that associates to any such operator a shift-co…
This paper develops a revised theory of thermophoresis for large solid aerosol particles whose radius greatly exceeds the gas mean free path, addressing the disagreement between earlier Maxwell and Epstein based treatments and experiment. Using the thermodynamics of irreversible processes and Onsage…
This paper develops a physicochemical model for the hydration kinetics of Portland cement clinker minerals, treating hardening as the coupled dissolution of the initial binder and crystallization of hydration products from supersaturated solution. Using diffusion controlled mass transfer, the author…
The study examines complex formation of cobalt(II) in the aqueous system cobalt bromide, hydrobromic acid, and water, where prior data were limited. Electronic absorption spectra were measured for several crystalline cobalt(II) bromide and hydrate complexes, including octahedral and tetrahedral refe…
This study reports the synthesis of phosphorus-containing amides of acrylic and methacrylic acids from the corresponding acid chlorides and esters of alpha-aminoalkylphosphonic or alpha-aminoalkylthiophosphonic acids in ether with triethylamine. The resulting phosphono and thiophosphono amides were …
This paper develops a theory of fluctuations of particle distribution functions in a collisionless plasma, including both Coulomb interactions and transverse electromagnetic fields. Starting from exact microscopic equations for phase densities and electromagnetic fields, the authors derive space-tim…
The paper studies when a normed linear lattice or ordered normed structure admits an equivalent monotone norm, thereby becoming a KN-lineal, KB-lineal, or KB-space. It establishes criteria in terms of properties of the positive cone, including normality, closedness, regularity or full regularity, to…
The paper examines which small dissipative terms can be added to the equations of isothermal gas motion while still yielding physically admissible discontinuous solutions in the inviscid limit. It proves that a triangular constant viscosity matrix with positive diagonal entries and any nonzero off-d…
This paper examines mutual electronic influences among atoms and ligands in octahedral ruthenium nitroso complexes, with emphasis on the trans influence of the nitroso group and the reciprocal effect of ligands positioned opposite NO. Using thermogravimetric behavior, chemical transformations, infra…
This note studies systems of rational functions orthonormal on the unit circle whose poles are prescribed by a sequence outside the unit disk, extending classical results for orthogonal polynomials obtained when all poles are at infinity. It constructs the systems from Malmquist rational functions w…
This paper describes the synthesis and characterization of 2-ethylenimino-2-anisylindandione-1,3 as part of a systematic study of amino derivatives of indandione. The compound was prepared from 2-bromo-2-anisylindandione and ethylenimine in the presence of triethylamine, then converted by hydrohalic…
This paper analyzes how externally forced lattice oscillations affect the spectrum of gamma quanta scattered by a crystal, with motivation from the difficulty of observing weak one-phonon peaks using available Mössbauer sources. Using an S-matrix treatment of Rayleigh scattering, with the electromag…
This study examines the electrical conductivity and activation energies of several semiconducting metal coordination polymers based on dithiooxamide, N-substituted dithiocarbamate, and thiocyanate groups with Cu, Ni, and Co. Temperature-dependent conductivity measurements show that conductivity in d…
This note studies how order-theoretic properties of an ordered set are reflected in the semigroup of all its order-preserving endomorphisms, focusing on semisimplicity defined through two-sided stable equivalences. For a finite linearly ordered set, the paper describes the ideals of the endomorphism…
This study examines hydrogen adsorption and catalytic hydrogen deuterium isotopic exchange on germanium films prepared by vacuum evaporation and condensation at liquid nitrogen temperature. The authors measured film surface areas by krypton adsorption, determined hydrogen adsorption rates as a funct…
This note addresses A. I. Mal'cev's question on the relative elementarity of subalgebras and subspaces in Lie algebras, using first-order definability in the language of algebras with parameters. It proves that every subspace of a simple real compact Lie algebra, and likewise every subspace of a sim…
This study examines the preparation, structure, and properties of scandium carbide and scandium titanium carbide compositions, motivated by uncertainties in earlier reports on the existence and crystal form of ScC. Scandium oxide was reduced with carbon in vacuum under varied temperatures, charge co…
