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 theoretical treatment of Faradaic rectification, the constant shift of electrode potential that appears when an alternating current passes through an electrolyte. Neglecting double layer charging under appropriate frequency and concentration conditions, it models the Faradaic c…
The paper develops an operator version of the Hellinger integral for systems formed from block operator matrices on an orthogonal decomposition of a Hilbert space. It gives criteria for positivity of block operators and operator measures in terms of a positive type system and the integral \(\int dF_…
This paper studies the Cauchy problem for a first order differential equation in a Hilbert space whose operator is an abstract elliptic operator, defined as a positive self-adjoint operator plus a perturbation of fractional order. Using semigroup methods, Mellin representations of negative powers, a…
This study examines how the structure and distribution of colloidal silicic acid fillers affect reinforcement in sodium-butadiene rubber. Samples of nearly identical chemical composition but differing reinforcing activity were compared using physicomechanical testing, alkaline leaching from rubber m…
The paper examines whether thermionic emission from carbon particles can account for the high electron concentrations observed in rich hydrocarbon flames, emphasizing that electron recombination with positively charged particles must be included to obtain a finite equilibrium. Using a Richardson-typ…
The paper studies the Dirichlet problem for Lavrent’ev’s model equation of mixed elliptic-hyperbolic type in simply connected mixed domains. It argues that this Dirichlet problem is ill-posed independently of the size and shape of the hyperbolic part by reducing the analysis to an auxiliary mixed bo…
This study examines the hydroaromatic hydrocarbons of the decalin series in the 150 to 200 degree fraction of Mirzaani oil, motivated by earlier findings of condensed aromatic hydrocarbons in the same oil. The fraction was purified, dearomatized by chromatographic adsorption on silica gel, subjected…
This study examines how the degree of molecular ordering in amorphous gutta-percha influences crystallization behavior and mechanical properties. The authors fixed different chain arrangements by vulcanizing gutta-percha under several temperature and medium conditions, then compared phase state, str…
This paper examines whether the chemisorption capacity of metals depends on sample structure, using hydrogen adsorption on nickel layers at different stages of condensation and after heating-induced recrystallization. Adsorption measurements at low temperature, compared with krypton surface-area det…
This study examines how calcium chloride affects early structure formation in aqueous suspensions of tricalcium aluminate and its hexahydrate, a problem relevant to the setting and hardening of Portland cement. Suspensions diluted with inert filler were gauged with calcium chloride solutions of vary…
This paper revisits the universal coefficient problem for Čech spectral cohomology, noting that earlier arguments established only an exact sequence in general and a direct formula only under additional hypotheses. It introduces a tensor product for conjugate systems of Abelian groups and uses the m…
The paper reexamines possible spin assignments for the tau meson through its decay into three charged pions, focusing on the contested exclusion of spin 2 positive parity obtained by the Dalitz method. It replaces phenomenological assumptions about pion angular momentum states with calculations from…
This paper argues that three-center molecular orbitals, previously used to describe electron-deficient borohydrides and related complexes, may also help explain the bonding and reactivity of compounds containing three-membered rings. The authors extend the concept to protonated species such as hydro…
This paper examines how the probability of chemical reactions involving atoms with energies comparable to the activation energy can be related to the ordinary specific reaction rate. Using a Maxwellian velocity distribution and reaction cross sections for different quantum states of the target molec…
This note reports computations performed on the Strela computer to test the Riemann hypothesis for zeros of the zeta function numbered 15,000 through 35,337, corresponding to the range of the parameter tau from about 2234 to 4735. The verification divides the critical line into intervals, computes t…
This note studies the relation between oscillation of higher order differential equations on a half-line and the spectra of the associated self-adjoint differential operators. Using Glazman’s decomposition method, it derives spectral criteria for oscillation and nonoscillation without relying on asy…
This paper studies parabolic equations in Hilbert space generated by self-adjoint differential operators whose boundary conditions depend on time, a setting in which the operator domains may vary. It derives estimates for fractional powers of time-dependent self-adjoint extensions, first for regular…
This note derives Smirnov’s correspondence between proximities compatible with a completely regular topology and bicompact extensions of the space from the theory of commutative normed rings. It defines continuous functions on a general proximity space, proves that they form a uniformly closed conju…
This paper extends the Riesz representation problem from continuous functions to the class of bounded piecewise continuous functions on an interval, where extensions of functionals from continuous functions are generally nonunique. It introduces characteristic functions associated with interval step…
This paper presents a thermodynamic calculation for the equilibrium hydrochlorination of isobutylene to tert-butyl chloride, motivated by the practical need to select suitable reaction conditions and by limitations of earlier linear extrapolations. Using molecular geometry, moments of inertia, vibra…
This paper examines how an external electric field perpendicular to a semiconductor surface may alter adsorption capacity by changing the concentration of free charge carriers at opposite surfaces. Using the electronic theory of chemisorption, the authors model an n-type semiconductor plate with acc…
The paper addresses the failure of the ordinary Fick diffusion equation near the critical point of a binary liquid system, where diffusion can become extremely slow despite appreciable concentration gradients. Starting from a flux proportional to the gradient of chemical potential, the author expand…
This paper analyzes the dynamical modes of a baroclinic atmosphere under the Coriolis force in order to clarify what is removed by the quasistatic and quasigeostrophic approximations used in hydrodynamic weather forecasting. By linearizing the atmospheric equations about a resting stratified basic s…
Sulfur adsorption on iron from acidic hydrogen sulfide solutions was investigated in relation to the accelerating and inhibiting effects of hydrogen sulfide on iron corrosion. Using radioactive sulfur, the study measured adsorption on pure and Armco iron, examined the influence of sulfide concentrat…
This note studies when an analytic function can be decomposed into a sum of analytic functions whose singular sets are prescribed parts of the original singular set. Using a lemma on the decomposition of continuous linear functionals in locally convex topological vector spaces, it proves a general s…
The paper studies convergence of Fourier series in the odd space L2 with respect to systems of dilates of a function, {phi(nx)}, that are close to the trigonometric sine system. It defines such T-systems through absolute convergence and nonvanishing of an associated multiplicative-function series, t…
This paper studies how the asymptotic behavior on the positive real axis of a power series with alternating coefficients depends on analytic properties of the coefficient function treated as a function of a complex variable. It introduces property A, meaning analytic continuation to the nonnegative …
This paper examines the motion of a continuous medium expanding with relativistic velocities in its own weak gravitational field, using an approximate scalar gravitational potential rather than the full tensor formulation of general relativity. Starting from relativistic hydrodynamic equations for a…
This study examines the quantitative characterization of triethylaluminum prepared via ethyl bromide, including common oxidation, decomposition, and halogenated derivatives relevant to low-pressure alkene polymerization catalysts. Using quinoline complex formation in cyclohexane, the authors compare…
The paper analyzes the onset and development of small two-dimensional oscillations in the viscous wake behind a body using the Orr-Sommerfeld stability equation with a Tollmien-type wake velocity profile. After nondimensionalization, the stability problem is solved approximately by the Galerkin meth…
This study examines the true kinetic rates of ethylene and propylene absorption by aqueous sulfuric acid over a range of acid concentrations, addressing uncertainties about the reaction order and the role of acidity in olefin hydration and alkylation. Using a circulating glass apparatus at 70 °C, th…
This paper analyzes local reflection and scattering of electromagnetic waves in waveguides whose cross section varies slowly but may undergo a finite overall change. For a plane waveguide, the authors introduce adapted orthogonal coordinates and combine a WKB approximation with perturbation theory t…
This paper studies the high energy asymptotic behavior of spectral functions for second order differential systems with measurable coefficients and separated initial conditions at the left endpoint. It formulates comparison theorems showing that, under local asymptotic equivalence of the coefficient…
This study examines the enzymatic synthesis of optically active peptides using glycolic and lactic acid esters of acylated racemic amino acids as acyl donors. Chymotrypsin-catalyzed reactions were tested with esters and amides of amino acids and peptides as acceptors, including optically active and …
This paper examines the synthesis of aromatic organobismuth compounds by decomposition of aryldiazonium borofluorides with freshly reduced powdered bismuth in acetone. Building on earlier organometallic syntheses through diazo compounds, the authors compare this approach with less satisfactory metho…
This study examines how molecular structure affects conjugation in unsaturated nitro compounds, a factor important for their reactions with nucleophilic reagents. Raman spectra were measured photoelectrically in acetone for a series of aliphatic and aromatic nitroolefins, nitromethane, and related a…
This paper investigates how the hydration state of silica gel surfaces affects the differential heats of adsorption of water vapor, a quantity relevant to the mechanism of elementary adsorption. Using silica gels prepared with different calcination and rehydration histories, the authors measured hea…
This paper examines the nonuniformity of plastic deformation in metallic single crystals, focusing on small deformation jumps during tensile loading. Using a low-inertia, high-sensitivity apparatus, the authors recorded deformation and, in most specimens, simultaneous electrical resistance changes i…
The paper develops a method for deriving uniform asymptotic solutions of second order differential equations by replacing the original equation with a nearby equation whose solutions are expressed through Bessel functions. The method is applied to Whittaker’s confluent hypergeometric function for la…
This paper studies convergence of general linear finite-difference processes for the Cauchy problem for ordinary differential equations and for equations with retarded argument. It formulates consistency conditions for a multistep difference equation, introduces a notion of uniform convergence based…
This study examines the nature of acidic centers in aluminosilicate cracking catalysts and their relation to cumene cracking activity. Using selective exchange adsorption with lithium and sodium acetates, kinetic measurements in a flow system, and thermometric titration of Lewis acidity, the authors…
This paper studies discontinuities of the Green function for a mixed Dirichlet problem for the two-dimensional wave equation and relates them to short-wave diffraction asymptotics for the Helmholtz Green function. Using a double-layer potential representation, the authors develop an iterative decomp…
The paper proposes a practical criterion for judging whether finite self-gravitating stellar systems may be treated as stationary. Using estimates of circular motion and the virial theorem, it derives a characteristic internal displacement or mixing time determined mainly by the mean density of the …
This study evaluates the use of a rotating disk electrode for determining polarographic diffusion coefficients in solutions containing excess indifferent electrolyte. Using Levich’s convective diffusion equation, diffusion coefficients were measured for Cd2+, Tl+, Pb2+, and Zn2+ under controlled con…
This paper studies stationary vector random processes and the information rate between two stationarily connected vector processes using spectral methods. It establishes a determinant formula for one-step linear extrapolation errors in terms of the spectral density matrix, yielding criteria for full…
The paper develops an averaging procedure for canonical Hamiltonian systems containing an angular coordinate whose conjugate momentum varies only by terms proportional to a small parameter, described as a quasi-cyclic coordinate. Using a Krylov-Bogolyubov style first approximation, the generalized c…
Fast neutron induced reactions on beryllium 9 were studied for the channels Be9(n,alpha)He6 and Be9(n,t)Li7 using layered nuclear photographic emulsions containing spectrally pure beryllium powder. Two prong reaction stars were selected and analyzed through range, angle, and energy balance measureme…
The study examines how stereochemistry and ring unsaturation affect the dipole moments of methyl esters of isomeric cyclohexane-1,2-dicarboxylic acids and related cyclohexene derivatives. Dielectric constants of dilute benzene solutions were measured at 25 degrees by a heterodyne method, and dipole …
