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 note studies automorphisms of nilpotent groups, focusing on when a finite set or group of automorphisms is nilpotent relative to the underlying group. It proves that for a nilpotent group, a finite set of automorphisms is nilpotent relative to the group exactly when it is nilpotent relative to …
This note studies the realization of functions over a fixed alphabet by restricted classes of algorithms, extending earlier questions about minimal alphabets for normal algorithms. For algorithms of type sigma, it gives several nonrealizability criteria for covering and stretching functions, derives…
The paper studies a nonlinear perturbation of a normally solvable linear operator equation in complex Banach spaces, with a small parameter and polynomial nonlinear terms. By rescaling the unknown and applying branching theory, including Newton diagram arguments and a generalized Jordan chain relati…
This study examines how representative organic and mineral tanning agents affect the structure of aqueous gelatin solutions, treating tanning as a form of protein denaturation whose mechanism involves possible spatial rearrangement and bridging. Effective viscosity was measured in a horizontal capil…
This note studies dynamical systems whose right-hand sides are multivalued or discontinuous, motivated by systems with incomplete information such as relay or hysteresis characteristics. It represents multivalued values as images of a unit ball under essentially bounded measurable mappings, thereby …
The paper studies the Cauchy problem for a linear parabolic system with a bounded continuous matrix coefficient multiplying the unknown vector and bounded continuous initial data. It derives an integral equation formulation, expands its solution by successive substitutions, proves absolute and unifo…
This paper develops a framework for continual integrals associated with groups of operators in a Hilbert space using generalized elements and kernels defined through a complete system of generalized eigen-elements. It derives product-limit representations for generalized kernels of evolution operato…
This paper examines reactions of diborane, alkylboranes, and tetraalkyldiboranes with boric, alkylboronic, and dialkylborinic esters, including thio analogues. The authors propose reaction schemes involving reversible exchange of hydrogen, alkoxy, alkyl, and alkylthio groups at boron, showing that d…
This note studies generalized boundary-value problems for second-order quasilinear elliptic equations whose coefficients have power growth. The method introduces a parameter into the equation to reduce it, for fixed parameter values, to an elliptic problem with bounded nonlinearities, then passes to…
The paper develops a method for reducing periodic boundary value problems of mathematical physics to integro-differential equations containing singular Cauchy integrals. Using finite Fourier transforms, the author treats the biharmonic equation in planes, half-planes, strips, and configurations with…
This paper develops more explicit formulas for products of causal functions associated with strongly connected Feynman diagrams in quantum field theory. Using the incidence matrix of a diagram and Pauli-Villars regularization, it derives parametric momentum-space expressions whose characteristic det…
This paper determines the exact upper bound for the best uniform approximation by trigonometric polynomials of degree at most n on the class of periodic differentiable functions whose first derivative has a prescribed convex modulus of continuity. The proof uses a lemma approximating functions with …
This paper examines the origin and growth of pitting corrosion on stainless steel in electrolytes containing chloride activators and oxidizing passivators. Using measurements of pit number, pit depth distributions, exposure time effects, and electrode potential, the authors show that both activator …
The paper studies uniform Chebyshev approximation of a continuous real function on a compact set by generalized polynomials whose coefficients are restricted to a prescribed closed set, allowing nonlinear relations among the coefficients. Using a geometric interpretation in coefficient space, it pro…
This note studies prescribed convergence and unbounded divergence sets for trigonometric Fourier series, with attention to pairs of conjugate series. Building on constructions of Kolmogorov and the Herzog, Piranian, and Zeller method, it proves two auxiliary lemmas for producing trigonometric polyno…
This study examines the vapor phase hydrolysis of titanium tetrachloride by water vapor in a dynamic system over 25 to 750°C, with several TiCl4:H2O molar ratios. The authors measured product composition, hygroscopic behavior, chloride retention, and phase structure using chemical analysis and X-ray…
The paper examines the construction of stress-strain relations for small deformations of isotropic elastic bodies that obey Hooke’s law in selected simple experiments, including hydrostatic compression, uniaxial tension and compression, and pure shear. Using a deformation potential expressed through…
The paper investigates unresolved features of long spark channel development under impulse voltage in rod to plane gaps of 3.0 to 5.75 m. Using an electron optical converter synchronized with a high speed electron beam oscilloscope, the authors record optical channel growth and current pulses, ident…
The study determines thermodynamic properties of liquid silver-antimony alloys by measuring the temperature and composition dependence of the electromotive force of a galvanic cell with an iodide melt electrolyte. Measurements for eight alloys between 10.3 and 79.5 atomic percent silver at 630 to 83…
This paper examines the mean hydrodynamic forces acting on a small spherical particle suspended in an acoustic field in an ideal liquid, focusing on second order effects relevant to acoustic coagulation. It develops a simplified calculation based on the momentum flux through a surface surrounding th…
This paper studies boundary value problems for a class of higher order parabolic and backward parabolic equations with principal part of order 2p in domains whose boundary may have characteristic contact with horizontal time planes. It proves unique solvability in appropriate Slobodetskii type Sobol…
This note proposes a generalization of locally compact unimodular groups, called ring groups, intended to accommodate both groups and the noncommutative objects arising as their duals. The construction replaces the commutative algebra of bounded functions on a group by a standard operator ring equip…
This paper proposes an exactly tractable model for a crystal based on a second-quantized Hamiltonian that retains density interactions associated with the periodic reciprocal lattice. It argues that, in the thermodynamic limit, the relevant density operators commute asymptotically with particle oper…
The note constructs a homeomorphic embedding of separable Hilbert space into itself whose image consists only of points with coordinates between zero and one in a fixed orthonormal basis. The construction first replaces signs by separate coordinate directions to obtain nonnegative coordinates, then …
This study examines how a phenyl substituent affects electrophilic substitution in phenylferrocene, focusing on aminomethylation, sulfonation, competitive acetylation, and nitration. Product isolation, elemental analysis, infrared spectra, and derivative transformations showed that aminomethylation …
This paper examines whether ordering transformations in nickel-based solid solutions correspond to the formation and dissociation of distinct Kurnakov compounds rather than merely homogeneous atomic rearrangements. Using a thermographic method with separate iron and nickel standards, the authors mea…
This paper studies when positive definite even linear functionals on spaces of entire test functions admit a unique representation by two measures, one associated with cosine kernels and the other with hyperbolic cosine kernels. By passing to the Fourier transform, the problem is reduced to uniquene…
This study examines the products formed when benzene and naphthalene hydrazo compounds are heated under inert conditions, challenging the view that thermal decomposition gives only disproportionation products. By heating representative hydrazo compounds under varied temperatures and solvents and qua…
This paper examines the decomposition of the composition diagram and exchange reactions in the quinary reciprocal system of nine salts formed by lithium, sodium, and thallium chlorides, bromides, and sulfates. Using vertex indices for a four dimensional nine vertex polytope, the authors identify cut…
This paper extends the collective variables method with a transition integral function to equilibrium systems containing interacting ions and permanent dipoles with noncentral Coulomb, ion, dipole, and dipole, dipole interactions. It formulates the configurational integral in Fourier collective vari…
This paper examines the behavior of ester carbalkoxy groups under catalytic vapor-phase hydrogenation, focusing on whether esters are reduced to alcohols or undergo hydrogenolysis to acids and hydrocarbons. Using flow hydrogenation at atmospheric and elevated hydrogen pressures, the authors compare …
The paper examines the scope of Dyson’s conjecture concerning the support of the weight function in the Jost, Lehmann, Dyson integral representation for causal commutators. After recalling earlier validity results for domains satisfying convexity conditions with respect to timelike curves, the autho…
This paper reports an adaptation of a phase fluorometer for measuring ultraviolet fluorescence lifetimes and applies it to benzene, methyl-substituted benzenes, naphthalene, and several related aromatic compounds in hexane and alcohol solutions. The authors describe ultraviolet excitation and spectr…
The paper develops a general synthesis method, the principle of local coding, for realizing selected classes of Boolean functions and operators by circuits of functional elements in a finite weighted basis. It formalizes codings in which the value of an operator on an input is determined from a shor…
This paper proves existence for a boundary value problem for the Blasius equation \(y''' + 2yy' = 0\) with matching conditions at the origin and prescribed limiting values of \(y'\) at positive and negative infinity. The argument develops qualitative properties of solutions, including nonvanishing a…
This paper investigates thermal oxidation of high molecular weight polydimethylsiloxane rubber, focusing on cleavage of methyl side groups and release of low molecular weight organosilicon compounds. The authors develop an analytical procedure for measuring carbon, hydrogen, and silicon in volatile …
This study examines the stereodirection of reactions of diacetylene and ethynylvinyl phenyl sulfide with thiophenol in the synthesis of 1,4-bis(phenylthio)-1,3-butadienes and their corresponding disulfones. By varying ionic, radical, and mixed reaction conditions, the authors isolated and characteri…
The paper studies a Hilbert boundary-value problem for analytic functions in a finite or infinite domain bounded by a smooth contour, with a boundary condition involving a homeomorphic involution of the contour. The problem is reduced to equivalent conjugation conditions and then to Fredholm integra…
This paper describes an alternative synthesis of organosilicon monomers containing fluorinated cyclobutyl rings, compounds of interest as precursors to fluorinated organosilicon polymers. Instead of direct condensation of fluoroolefins with alkenylsilanes under prolonged pressure conditions, the aut…
This study investigates the mechanism of anodic ozone formation during electrolysis of concentrated perchloric acid solutions at low temperature. Using oxygen isotope tracers in labeled perchloric acid or labeled water, combined with polarization measurements and mass spectrometric analysis of evolv…
This note studies relations between the real and imaginary Hermitian components of Volterra operators in Hilbert space, particularly their membership in Schatten classes and related compact operator ideals. Using an interpolation lemma for operator-valued holomorphic functions, triangular representa…
The paper examines the origin of color deepening in para-dimethylaminoazobenzene upon protonation by comparing absorption spectra of benzylideneaniline and azobenzene derivatives and their hydrochloride or alkaline salts in chloroform. Using K-band maxima and intensities, the authors relate bathochr…
This paper reports an electron diffraction study of thin indium selenide films prepared by sublimation and annealing, aimed at clarifying the crystal structures and phase modifications of In2Se3. The work identifies hexagonal alpha and beta modifications, a cubic gamma modification, and an apparentl…
This paper studies the Riemann boundary value problem on Lyapunov contours for one or several pairs of analytic functions when the boundary coefficient is only measurable. Using functional analytic methods, it establishes Fredholm type results for scalar coefficients in a specified class, including …
This paper studies special pairs of T-congruences whose corresponding rays have equal focal distances and equal angles between their focal planes. Using a moving rectangular trihedron along the congruence of common perpendiculars, the author derives differential systems characterizing two types of s…
This study examines the participation of divinyl sulfoxide and divinyl sulfone in Diels-Alder diene-synthesis reactions with butadiene, 2,3-dimethyl-1,3-butadiene, and cyclopentadiene under varied temperature and reactant-ratio conditions. Divinyl sulfoxide was found to form mono-adducts with butadi…
The paper studies planar differential systems that are small time-periodic perturbations of Hamiltonian systems with a center whose surrounding closed trajectories are bounded by separatrices through saddle points. For a fixed initial time, it formulates the problem of determining the set of initial…
This study examines the electrochemical initiation of methyl methacrylate polymerization during oxygen reduction at a mercury cathode in acidic aqueous and aqueous alcoholic media, with careful control of electrode potential, oxygen content, and reagent purity. Polarographic measurements showed that…
This study examines the thermal behavior of organosilicon compounds containing hydrocarbon bridges between silicon atoms, with emphasis on silacycloalkanes and alpha, omega hexamethyldisilylalkanes heated in sealed ampoules up to 400°C. The authors compare stability and polymerization behavior using…
