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 the relation between complete best approximation and partial best approximation for periodic functions of several variables in \(L_p\) spaces by trigonometric polynomials. It defines partial approximations in selected variables and proves inequalities bounding the complete best ap…
This paper studies the error of the arithmetic mean formula for multidimensional integration, including its use in Monte Carlo computation when the integration nodes are random. It compares uniform grids with random nodes, showing that in high dimensions standard uniform grids can have worse error o…
This note states an asymptotic expansion for the joint distribution of occupation counts in a finite nonhomogeneous Markov chain. Under uniform comparability of transition probabilities, a single essential class, and full rank, the probability of a given vector of visit counts, centered by its expec…
This study examines whether water participates directly as an oxidation substrate during dye photoreduction on semiconductor surfaces. Methylene blue suspensions with zinc oxide, titanium dioxide, and cadmium sulfide were irradiated under controlled conditions, and hydroxyl radical formation was inf…
This paper studies simultaneous mean approximation of complex-valued boundary functions given on several rectifiable Jordan contours, in weighted Lebesgue-Stieltjes spaces. It characterizes when polynomial or rational systems are closed, relating this to logarithmic integrability conditions involvin…
This paper studies existence and uniqueness for several boundary value problems involving nonlinear ordinary differential equations and related systems. Using Chaplygin-type differential inequalities, derivative estimates, parameter continuation, compactness arguments, and the Leray-Schauder princip…
This paper studies global-in-time boundary value problems for nonlinear and quasilinear parabolic equations, including nonlinear boundary conditions in one space dimension and a second boundary value problem in several space dimensions. Using Rothe’s time-discretization method, together with auxilia…
This paper studies the behavior of solutions of a periodically perturbed system of differential equations near an isolated equilibrium of the unperturbed system when the linearized equations have one pair of purely imaginary characteristic roots and all remaining roots have negative real parts. By t…
This note addresses a dispute over theoretical descriptions of longitudinal magnetostriction in nickel single crystals, particularly for magnetization along the [111] direction. Brown argues that Akulov’s recent comparison between his own theory and Heisenberg’s theory rests on calculations by Gans …
This note constructs integral representations for functions that are operator-analytic with respect to an ordinary linear differential operator of order n. Building on a previously defined isomorphism between rings of operator-analytic functions, it studies the Cauchy problem for the partial differe…
This communication describes the synthesis of previously undescribed polyorganosiloxanoalumoxanes and polyorganosiloxanotitanoxanes, polymers whose inorganic main chains contain aluminum or titanium and oxygen atoms edged with trialkylsiloxane groups. The authors prepared nonaethylalumoxytrisiloxane…
This paper examines the irreversible monotropic transformation of natural alpha-spodumene to the high-temperature beta modification, with attention to factors affecting the observed transition temperature. Using thermal analysis of three purified spodumene samples of differing composition, the autho…
This paper constructs a counterexample in dimension theory: a normal space whose small inductive dimension is one but which cannot be embedded in any one-dimensional bicompact space. The construction modifies a Lunc-type ordered product space, first building an auxiliary normal space with prescribed…
This note proves that every real continuous function on the n-dimensional unit cube, for n at least 2, can be represented as a finite sum of continuous functions of one variable applied to sums of fixed continuous one-variable functions of the coordinates. The construction first defines monotone aux…
This study examines the mechanism of C-alkylation of resorcinol and phloroglucinol by N-trimethyl-alpha-phenethylammonium iodide. Alkylations with optically active ammonium salt at 155 to 175 degrees gave alpha-phenethylphenols, or oxidation products derived from them, that were optically inactive, …
This paper studies when hyperbolic systems of quasilinear equations can be represented by conservation laws, a form needed to define generalized solutions through integral relations. It formulates a criterion based on an associated overdetermined linear system and argues that systems with one or two…
This study examines the stability of calcium hydrosulfoaluminate formed during Portland cement hardening, a question on which earlier reports gave limited and conflicting results. The authors prepared the compound in cement stone with added gypsum, from solid tricalcium aluminate and hemihydrate gyp…
The paper investigates the use of vinylmagnesium bromide in tetrahydrofuran as a route to vinyl alcohols and dienones useful as intermediates in steroid synthesis. The authors show that 6-methoxytetralone reacts smoothly to give 1-vinyl-6-methoxytetralol-1 in high yield, which can be dehydrated to 1…
This paper proposes a new class of charged-particle accelerators using time-constant sectored magnetic fields that produce stable, mutually tangent particle trajectories. It analyzes a representative four-sector homogeneous-field system, deriving orbit-perimeter relations and discussing stability co…
This paper examines whether the liquid phase oxidizability of hydrocarbons with 7 to 10 carbon atoms correlates with the strength and position of the weakest C,H bonds in their molecules. It compares published and authorial oxidation data for normal paraffins, isoparaffins, benzene, and toluene with…
This note studies convergence of Lagrange interpolation polynomials on the interval [-1,1] for triangular arrays of interpolation nodes, with emphasis on absolutely continuous functions and functions of bounded variation. Using known necessary and sufficient criteria involving bounded sums of fundam…
Entirely new possibilities for studying the nuclear component of cosmic rays are opening up in connection with the launch of artificial Earth satellites. Installing instrumentation on an artificial Earth satellite will make it possible to accumulate the necessary statistical material to determine lo…
This paper studies small unsteady disturbances produced by a thin wing of finite span moving in an unbounded compressible fluid, with an arbitrary prescribed law of motion and possible additional surface deformations. The problem is formulated as a linear boundary-value problem for the three-dimensi…
This paper examines the mechanism of the negative difference effect during anodic dissolution of magnesium, focusing on whether enhanced hydrogen evolution arises from anodic self-dissolution due to surface activation or from chemical oxidation of monovalent magnesium formed in the electrochemical s…
This paper formulates plane harmonic heat-conduction problems for thin plates in which temperature is assumed uniform through the thickness, considering both adiabatic faces and faces exchanging heat with an external medium. By reducing the thermal-wave equations to fourth-order equations analogous …
This paper examines the reactivity of dialkylphosphorous acids toward carboxylic acid derivatives, focusing on thiourea after earlier observations that ordinary acids, amides, and esters did not react under condensation conditions. The study describes heating reactions of several dialkylphosphorous …
This paper formulates conditions for the formation of solid solutions in organic molecular crystals, based on the weak directionality of intermolecular forces and the resulting importance of close packing. It argues that substitutional solid solutions require molecular similarity in shape and size, …
This paper develops a theoretical framework for calculating averaged ice drift in the Central Arctic Basin, treating monthly or seasonal drift as a stationary problem governed by coupled motion of seawater, ice, and air. The analysis formulates linear momentum balances with Coriolis force, vertical …
This paper examines why heats of dilution of strong electrolyte solutions deviate from the Debye-Hückel limiting law in the Debye concentration region. Integral heats of solution for alkali chlorides in hydrogen peroxide at 0 degrees C are measured calorimetrically and compared with aqueous and nona…
This paper investigates catalytic systems formed from ether-free magnesium haloalkyls and titanium tetrachloride as initiators for the polymerization of ethylene, propylene, styrene, and isoprene. The authors describe preparation of organomagnesium dispersions in paraffin and show that removal of et…
This paper formulates Cauchy and boundary value problems for a first order nonlinear conservation law with a source term in classes of bounded measurable, possibly discontinuous functions. Generalized solutions are defined by an integral identity together with a one sided regularity condition, and u…
This paper investigates previously unobserved cadmium reactions with fast neutrons, focusing on 14 MeV neutron induced (n, alpha) processes that produce radioactive palladium isotopes. Cadmium targets were irradiated with neutron sources, palladium products were isolated radiochemically, and the res…
This study examines the thermal decomposition of nitrocellulose under high vacuum and in closed or quasi-constant-pressure systems, with separate measurement of condensable gases, difficultly condensable gases, and specimen weight loss. Experiments at 135 to 160 °C show that condensable products for…
This paper analyzes dispersion relations for the scattering of K mesons and antikaons on nucleons, treating the K meson as a scalar or pseudoscalar field and using general S matrix and locality assumptions. It formulates the scattering amplitude through current operators, discusses analytic continua…
This paper studies the Cauchy problem for a class of nonlinear equations in Banach spaces in which the operator is analytic in the independent variable and unknown function and linear in the time derivative. After reducing the problem by a local change of variables, the author analyzes a representat…
This study examines Friedel-Crafts alkylation of ferrocene to prepare homologs containing tertiary alkyl substituents, extending earlier work on monoalkyl and dialkyl ferrocenes. The authors report syntheses of tert-butylferrocene, di-tert-butylferrocene, tert-amylferrocene, and di-tert-amylferrocen…
The paper addresses uniqueness for a one-dimensional Stefan problem with a one-phase initial state in a finite heat-conducting medium, under monotonicity and sign assumptions on the boundary and initial data and on the spatial derivatives of the temperature fields. The argument perturbs a given free…
The paper develops a matrix method for analyzing and synthesizing nonprimitive switching circuits, namely relay-contact and electronic-pulse circuits with delayed feedback. It represents circuit states, inputs, and outputs by simple binary vectors, introduces state and reaction matrices, and shows h…
The paper introduces a general construction of positive linear operators on continuous functions, defined from a sequence of analytic functions whose derivatives satisfy sign and asymptotic recurrence conditions. It proves uniform convergence on finite intervals by verifying convergence on the test …
This note studies periodic solutions of quasilinear differential equations with time delays and periodic coefficients. Using Lyapunov functionals and contraction arguments in a space of history functions, it gives sufficient conditions under which asymptotic stability of the zero solution of an asso…
This paper reports stratospheric measurements of the hard component of cosmic rays at geomagnetic latitude 31 degrees N, undertaken to determine the flux of primary particles at the atmospheric boundary and to support later studies of inelastic interaction cross sections. Balloon-borne counter teles…
This paper examines whether carbon black participates chemically, rather than only physically, in rubber vulcanization through interaction with sulfur and accelerators. Using radioactive sulfur, prolonged benzene extraction, viscosity measurements of rubber solutions, and tests on rubber compounds p…
This study examines whether aliphatic organolithium compounds form associated species in hydrocarbon solution, analogous to previously reported auto-complexes of aryl and benzyl lithium compounds in ether. Ethyllithium and butyllithium were synthesized in benzene or cyclohexane under nitrogen, purif…
The purpose of this review is to provide a systematic exposition of the methods published in the literature for the theoretical study and calculation of multiple scattering of gamma rays. Experimental data are presented only for comparison with the results of theory. For reference purposes, the bibl…
