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
The paper studies the relationship between finite automata and a language of monadic predicate logic in which earlier restrictions on object and predicate quantifiers are removed. It develops a normal form for formulas and uses a topological interpretation via Cantor space, introducing homogeneous s…
The paper examines the applicability of the Hammett and Taft relationships to the reduction of substituted triarylcarbinols by isopropyl alcohol in sulfuric acid, a hydride transfer reaction proceeding through carbonium ion formation. Using kinetic data for triphenylcarbinol and methyl or methoxy su…
This study investigates how the cathode sputtering coefficient of polycrystalline copper depends on the angle of incidence of 27 keV argon ions, extending measurements from normal incidence to grazing angles up to 84 degrees. Using a double focusing ion beam apparatus under high vacuum, the authors …
This paper examines light scattering in nonstratifying binary solutions and argues that observed anomalies can be explained by Rayleigh scattering theory combined with the thermodynamic theory of solution stability. By reformulating the Rayleigh constant in terms of the second derivative of the mola…
This note studies Chebyshev sets in Banach spaces through the concept of approximative compactness, introduced to replace bounded compactness in settings where the latter is too restrictive. It proves criteria and structural results for approximatively compact sets in uniformly convex spaces, includ…
This paper examines the structure of the Earth’s crust beneath the Greater Caucasus using Bouguer gravity anomalies with corrections for relief, geoid deviation, and intervening masses, interpreted along 12 transverse profiles. The authors combine gravimetric interpretation with seismic, geological,…
Aerosol formation and destruction during the radiolysis of gaseous hydrocarbons and hydrocarbon, oxygen mixtures were investigated using optical attenuation and weight concentration measurements under fast electron irradiation. Experiments on ethane, propane, n-butane, ethylene, propylene, acetylene…
This note studies the structure of angular boundary values for meromorphic functions that are normal in the unit disk in the sense of Lehto and Virtanen. Using results of Collingwood and Cartwright, it establishes a correspondence between certain angular limit value sets and boundary point sets, and…
The paper examines the mechanism of radiolytic oxidation of ferrous ions by hydrogen atoms in deaerated aqueous ferrous sulfate solutions, focusing on the dependence of oxidation yield on pH, radiation intensity, and ferrous ion concentration. Experiments with Co-60 irradiation show that the oxidati…
The paper studies the word problem for the nth nilpotent product of two groups given by finitely many generators and defining relations, assuming that each factor has a word identity algorithm. It reduces the problem to the mutual commutant of the two factors and constructs, using basic commutators …
This paper examines how to characterize the stability of very strong metal phthalocyanine complexes, for which ordinary instability constants are unsuitable because dissociation in acidic media is negligible or effectively irreversible. Using concentrated sulfuric acid as solvent, it analyzes proton…
This paper reexamines the silicon-rich region of the manganese silicon system, where earlier reports on manganese disilicide and related phase formation were considered insufficiently substantiated. Alloys containing about 46 to 55 percent manganese were prepared from high-purity components, anneale…
This paper studies diffusion processes defined by stochastic differential equations whose coefficients and initial conditions depend on a finite-dimensional parameter. Under Lipschitz and smoothness assumptions, it proves almost sure continuity of the solution in time and parameter, establishes exis…
This paper reports the synthesis of compounds containing two adjacent three-membered rings, a class described as poorly explored because of limited preparative methods. Starting from isopropenylcyclopropane, the authors prepared five derivatives, including 1-methyl-1-cyclopropylcyclopropane, an ethy…
This note constructs an example showing that a nonlinear parabolic system can fail to have a unique solution for discontinuous step initial data, even when the competing solutions are bounded. The argument compares two self-similar solutions of auxiliary diffusion systems, one with constant diffusio…
This paper constructs a geometry for the ordinary second order differential equation y'' = f(x,y,y') under the conformal group of transformations of two variables, using the invariant method of Laptev and Vasil’ev. It derives relative and absolute invariants of the equation, associates to it spaces …
This paper examines the thermal behavior of addition products formed from trialkyl phosphites and diacetyl, compounds previously identified as 1,3,2-dioxaphospholene derivatives of pentacovalent phosphorus. Distillation or heating under reduced pressure in an inert atmosphere showed that the triprop…
This note develops a theory of the second variation for nonparametric discontinuous variational problems in several dimensions with movable endpoints and one discontinuity surface. Extending Morse’s method, it derives the second variation for a polygonal extremal, formulates the associated secondary…
This paper studies superconvergence and quasianalytic continuation for sequences of rational functions with prescribed poles outside a continuum in the complex plane. It proves that sufficiently rapid convergence on the continuum, especially of order whose nth root tends to zero, forces uniform conv…
This paper studies bounded homogeneous domains in complex Euclidean space that are homeomorphic to Euclidean space and analytically equivalent to affinely homogeneous domains, termed regular domains. It reduces their classification to the classification of normal j-algebras, proving a correspondence…
This paper studies a nonlinear boundary-value problem for analytic functions in the interior and exterior of a smooth closed contour, with boundary relation involving an nth power term, a Hölder continuous coefficient, and a nonlinear perturbation. Under growth and Hölder-type assumptions on the per…
This paper reports an experimental study of the Stark effect on exciton absorption lines in thin single crystals of cadmium sulfide at 4.2 K, motivated by the relation between electric-field effects, exciton motion, and exciton size. The authors examine different orientations of the external electri…
This paper examines how the Galvani potential is distributed between the Helmholtz layer and the semiconductor space charge at the germanium, electrolyte solution interface. Using measurements of surface recombination rate by photoconductivity decay and instantaneous photopotential under pulsed illu…
This paper proposes a general alkaline-medium route to aryliodonium betaines based on the electrophilic reaction of aryliodoso compounds with nucleophilic anions. Phenyliodosoacetate was reacted in methanol at low temperature with a range of substrates capable of forming nucleophilic centers, includ…
This note continues a study of divided differences of order (m,n) for functions of two variables, using a previously established representation as a double integral over the rectangle determined by the interpolation nodes. It analyzes the piecewise polynomial kernel in that integral, proving through…
This paper addresses the physical processes responsible for high charge concentrations near the negative glow in cold-cathode metallic arcs, focusing on whether such arcs occur in distinct forms. Using measurements of minimum arc-burning potentials for various pure metal cathodes in short vacuum arc…
This paper examines the development, closure, and partial self-healing of cracks in isotropic silicate glass under controlled loading, using visible crack growth as a macroscopic model for fracture processes in solids. Experiments relate crack length to plate deflection during loading cycles and sho…
The study examines how foreign adsorbed substances affect low-temperature dehydration of alcohols on oxide catalysts, focusing on isopropyl alcohol and trimethylcarbinol on alumina-based catalysts and tungsten oxide. Kinetic experiments in adsorption layers showed that polar additives such as aceton…
This paper extends a theorem of A. G. Postnikov by proving two Abel-type limit theorems for weighted power series. The first shows that if a series converges and the function x f(x) is continuous and of bounded variation on [0,1], then the transformed series with terms a_i x^i f(x^i) tends to the or…
This note strengthens earlier undecidability results for elementary theories by proving effective inseparability between formulas true in all models and formulas refutable in some finite model for several algebraic classes. The argument constructs, for formulas over rings of prime characteristic, un…
The paper develops a general framework for completeness of systems in locally convex linear spaces when approximation error is considered together with a convex functional controlling the coefficients. It proves a dual criterion, in terms of continuous linear functionals, for an element to be approx…
The study determines thermodynamic properties and phase-region information for solid iron, tellurium alloys containing up to about 50 atomic percent iron. Electromotive-force measurements of concentration cells with molten chloride electrolyte were made over 360 to 650 degrees C for alloys in severa…
This study determines the phase diagram of the iron hafnium system, for which prior information was limited and partly contradictory, especially concerning the Fe2Hf intermetallic compound. Twenty five alloys were prepared by arc melting purified iron with iodide hafnium and examined by differential…
The paper studies zeros of real entire functions of exponential type relative to specially defined regular sequences of real points. It introduces a characteristic for such zero sets, analogous to the degree of a polynomial, and uses canonical products and functions in class B to derive bounds on ad…
This study examines how excess photon energy is partitioned between emitted electrons and molecular ions during gas-phase photoionization of benzene, aniline, methylaniline, and dimethylaniline. Using a retarding-field cylindrical condenser with vacuum ultraviolet radiation, the authors measured ele…
This paper formulates interpolation of functions of several variables from values at finite nodes in matrix terms, emphasizing polynomial interpolation by monomials of bounded degree and the role of right and left inverse interpolation matrices. It describes a classical multivariate Newton-type cons…
This note describes continuous solutions of bounded variation for linear differential equations in a Banach space and in a normed ring with identity, under prescribed initial conditions. Using multiplicative Stieltjes integrals associated with normalized primitives of the coefficient function, it sh…
This paper studies solvability of the first boundary-value problem for strongly elliptic equations of order 2m in domains without relying only on small measure assumptions. It introduces a capacity associated with the differential order, establishes basic properties of this capacity, and uses it to …
This paper describes the preparation of metallic scandium by calcium reduction of anhydrous scandium chloride, followed by arc melting and, for further purification, high vacuum sublimation. The authors analyze the composition of the resulting metal and examine its crystal structure, mechanical prop…
This paper examines the nature of the apparent induction period in the autooxidation of fats and fatty acids. Using experiments on purified oleic acid and natural fats, with measurements of oxygen uptake, peroxide content, epoxide oxygen, hydroxyl oxygen, iodine value, and carotenoids, it argues tha…
This paper reexamines the cadmium, antimony binary system in the context of semiconductor compounds, using thermal analysis, X-ray diffraction, microstructural and microhardness measurements, electrical conductivity, and thermoelectric emf. From studies of more than 20 alloy compositions prepared un…
The paper develops a scale of function spaces defined by norms expressed through distribution functions of measurable functions, interpolating between the spaces L1 and L infinity. It establishes basic properties of these spaces, including logarithmic convexity, a lemma reducing norm estimates to es…
This paper investigates the rapid appearance of fine-grained fog during prolonged development of nuclear emulsions, a process that limits further development while track grain density for relativistic particles approaches saturation. Experiments on thin unexposed emulsion layers show that the fine f…
The paper studies a special singular integral equation and the associated Riemann boundary value problem on contours belonging to a newly defined class R of rectifiable curves. It introduces this class through one-sided tangents and limiting tangent directions, proves structural properties such as f…
This paper proposes a method for constructing global generalized solutions of the Cauchy problem for quasilinear hyperbolic systems after classical solutions develop singularities. It introduces a stability concept based on potentials of solutions and a corresponding metric, then constructs disconti…
This paper reports the synthesis of cephalin phospholipids containing residues of stearic, oleic, linoleic, and linolenic acids, motivated by the biological importance of such structures. Three synthetic routes are described, starting from alpha,beta-diglycerides derived from benzylglycerol or benzy…
This study examines the infrared absorption spectra of cis and trans propenyl compounds of trivalent and pentavalent antimony, addressing the use and limitations of conventional spectral criteria for assigning ethylenic geometrical configurations. Spectra were recorded for liquid and solid organoant…
This study investigates the mechanism by which aromatic nitroso compounds react with hydrazoic acid to form aryl azides and nitrogen. Using hydrazoic acid labeled with nitrogen 15 in the terminal nitrogen atoms, the authors analyzed the isotopic composition of evolved nitrogen and of the azide produ…
