Recent Papers

Corrections to the article “Study of bis(dimethylglyoximato)copper(II) by electron paramagnetic resonance” (Dokl. Akad. Nauk, vol. 152, no. 1)

Decomposition of hydrocarbons photosensitized by certain benzene derivatives at low temperatures

This study examines whether benzene derivatives photosensitize the low-temperature decomposition of saturated hydrocarbons under ultraviolet irradiation. Dilute frozen solutions of substituted aromatic compounds in 3-methylpentane and partially deuterated 3-methylpentane at 77 K were irradiated, wit…

Radar Observations of the Planet Jupiter

This paper reports Soviet radar observations of Jupiter conducted during the September to October 1963 opposition, when the planet was about 590 to 600 million km from Earth. The experiment transmitted approximately 700 MHz signals and analyzed the delayed echoes with Doppler compensation and multic…

Anodic Corrosion of Lead in Sulfuric Acid

This study examines the mechanism of anodic film growth during corrosion of lead in sulfuric acid, focusing on how acid concentration, temperature, polarization time, and cobalt sulfate affect film composition and structure. Smooth lead electrodes were anodically polarized in sulfuric acid solutions…

On a Particular Case of the Oblique Derivative Problem for Harmonic Functions in Three-Dimensional Domains

This note studies a special oblique derivative problem for harmonic functions in a three-dimensional domain, focusing on the unit ball with boundary vector field proportional to the shifted radius vector. The boundary condition is reduced to a first-order linear equation for a harmonic function, all…

WANG SHEN-WANG

The paper studies existence and uniqueness for systems of Hammerstein integral equations beyond the commonly treated cases of positive, quasi-positive, or quasi-negative kernels. It establishes sufficient monotonicity and convexity-type conditions for nonlinear potential operators in Orlicz and Hilb…

The First Boundary Value Problem for Degenerate Quasilinear Elliptic Systems of Differential Equations

This paper proves solvability of the first boundary-value problem for a class of degenerate quasilinear elliptic systems of order 2m. The argument develops integral inequalities and compact embedding results adapted to functions whose highest derivatives need not be square-summable, but for which de…

Structure of Kalopanax-saponin $\mathrm{A}$

The paper determines the structure of kalopanax-saponin A, a hederagenin bioside isolated from the roots of Kalopanax septemlobum and containing arabinose and rhamnose. The authors use methylation, acid hydrolysis, chromatographic identification of methylated sugars, mass spectrometry, infrared and …

Some Results of Radar Measurements of Turbulence in the Free Clear Atmosphere

This paper presents radar measurements of atmospheric turbulence in the free, clean atmosphere using clouds of released dipole reflectors tracked by centimeter-band pulsed radar. Successive measurements of reflector-density distributions were used to infer impurity diffusion rates over altitudes of …

Conformational Study in the Cocaine Series

This study examines the stereochemistry and conformation of four isomeric methyl esters of ecgonine, compounds related to the cocaine series, using infrared spectroscopy. Analysis of hydroxyl stretching bands, dilution effects, and solvent-dependent shifts in C-O stretching vibrations is used to dis…

Extraction Equation for Ternary Aqueous Salt Solutions

A thermodynamic method is developed for deriving extraction equations for ternary aqueous salt solutions contacted with an extractant insoluble in the aqueous phase. Using the McKay and Perring differential equation together with isopiestic data, the authors relate salt activities in the organic pha…

An X-ray study of the structure of hydrochloric phenylalanine

The paper reports an X-ray crystallographic determination of the structure of L-phenylalanine hydrochloride, adding phenylalanine to the set of amino acids with known atomic structures. Crystals grown from hydrochloric acid solution were analyzed from 933 Cu K-alpha reflections in space group P21212…

POLYMORPHISM, FORMATION OF HYDRATES OF OXYETHYLATED ALCOHOLS AND THEIR EQUILIBRIUM WITH MONOLAYERS

This study examines the phase behavior of mono-oxyethylated hexadecanol and octadecanol, surface-active alcohol derivatives relevant to water evaporation suppression, with particular attention to hydration, polymorphism, and equilibrium with condensed monolayers. Equilibrium two-dimensional pressure…

On Some Organoarsenic Derivatives of Ethylenimine

This paper reports the first preparation of N-substituted organoarsenic derivatives of ethylenimine through reactions of ethylenimine with monoalkyl, dialkyl, and aryl haloarsines in the presence of triethylamine. The authors obtained mono- and diethylenimides of alkyl and aryl arsonous acids, chara…

On multidimensional linear differential equations with constant coefficients

This paper studies multidimensional linear differential equations with constant coefficients in finite-dimensional real or complex spaces, treating the Cauchy problem, conjugate equations, and associated operator equations. It gives a necessary and sufficient commutativity condition for solvability …

Corrections to the Article “Dual Extremal Problems” (DAN, Vol. 152, No. 2, 1963)

Estimates of the number of states that arise in the determinization of a nondeterministic autonomous automaton

The paper studies how many states can arise when a nondeterministic autonomous finite automaton with a fixed initial state is converted into a deterministic automaton by the subset construction. Representing the transition relation by a Boolean adjacency matrix, the argument bounds the number of rea…

Mean radiation density in the Metagalaxy and some questions of relativistic cosmology

Doroshkevich and Novikov calculate the mean electromagnetic radiation density and spectral distribution of the Metagalaxy within Friedmann cosmological models, considering different assumptions about mean matter density, equation of state, galaxy formation epoch, and luminosity evolution. They appro…

Study of the State of Water in Phosphomolybdic Acid by Nuclear Magnetic Resonance

The study uses proton nuclear magnetic resonance to examine the state of water and hydrogen in phosphomolybdic acid hydrates with different water contents. Measurements of absorption line shapes, second moments, and temperature dependences from 77 to 293 K show that dehydration changes the proton st…

Criteria for One-Sided Invertibility of Functions of Several Isometric Operators and Their Applications

The paper develops an operator-ring approach to one-sided invertibility for functions of several commuting isometric operators, extending earlier results for a single operator. It introduces decomposing normed rings of functions on the multidimensional torus and proves factorization criteria that de…

Inhomogeneous Riemann Boundary Value Problem with Infinite Index

This paper studies an inhomogeneous Riemann boundary value problem on a ray for coefficients whose argument has infinite index, under Hölder-type assumptions and vanishing conditions on the inhomogeneous term. For the case of positive infinite index, the problem is solved in classes of functions of …

On Representations of Finite Groups over Quadratic Rings

The paper studies when a finite group has only finitely many indecomposable matrix representations over rings of integers in quadratic number fields and quadratic extensions of p-adic fields. Using reductions to Sylow p-subgroups and modules over cyclotomic extensions, it gives explicit classificati…

Observations of Jupiter's Radio Emission at a Wavelength of 6.5 cm at Pulkovo

Radio observations of Jupiter were carried out at Pulkovo in October and November 1963 at a wavelength of 6.5 cm using a low-noise radiometer on the large radio telescope, yielding 41 meridian transit records. Calibration against 3C 273 gives a flux of 8.15 ± 0.8 × 10^-26 W m^-2 Hz^-1 at 4 AU, corre…

On the Continuous Dependence on a Parameter of the Fundamental Solution of a Parabolic System

This paper studies the dependence on a small parameter of the fundamental matrix solution for a Petrovskii parabolic system of order 2p with matrix coefficients. Under boundedness, Hölder continuity in the spatial variables, and suitable continuity assumptions in time, it proves estimates showing th…

Asymptotics of solutions of the Cauchy problem in the case where the limiting equation has a singularity

The paper studies the asymptotic behavior, as a small positive parameter tends to zero, of solutions to a Cauchy problem for a second order linear ordinary differential equation whose limiting first order equation is singular at the initial point. It constructs the expansion by dividing the domain i…

On new geometric isomers of $[\mathrm{PtGl}_2\mathrm{Cl}_2]$

This paper investigates previously inaccessible geometrical isomers of the platinum glycine complex PtGl2Cl2 predicted by Werner coordination theory, focusing on forms with cis-positioned chlorine atoms. The authors use oxidation of cis platinum glycine chlorides with hydrogen peroxide, followed by …

The Effect of Dye Aggregation Form on the Sign of Photocurrent Carriers

The study examines how aggregation state affects the sign of photocurrent and dark current carriers in organic dye layers, especially di- and triphenylmethane dyes. Using static and vibrating capacitor methods, contact photopotential measurements, spectral photo-emf distributions, and thermoelectric…

On the Factorization of Analytic Matrix Functions

This note studies analytic matrix functions in the unit disk whose entries belong to standard scalar growth classes, including A, D, Hardy type classes, bounded functions, and contractive bounded functions. Using Potapov’s multiplicative integral methods and Blaschke type products, it gives parametr…

On Density Conditions for the Initial Manifold in an Abstract Cauchy Problem

This paper studies density of the initial manifold for the abstract Cauchy problem generated by a linear operator in a Banach space, that is, the set of initial vectors for which a strong smooth solution exists. It first gives a Hilbert space obstruction showing that, for certain symmetric operators…

Structure of the Temperature Field in Cumulus Clouds

This paper examines the fine scale structure of temperature fluctuations in cumulonimbus clouds, focusing on the dissipation analogue for the temperature field and the scale below which buoyancy effects become negligible. Using aircraft temperature records from cloud crossings at several heights, th…

Solid Solutions of Lanthanum and Yttrium Diorthosilicates

This study examines phase relations in the lanthanum diorthosilicate and yttrium diorthosilicate system, whose end members belong to different structural groups. Alloys prepared from high-purity oxides and silica were melted, annealed at controlled temperatures, rapidly quenched, and analyzed by X-r…

Bromo- and acetoxy derivatives of dihydrido-p-phenylenedisilanes

The study examines substitution reactions of dihydrido-p-phenylenedisilanes to prepare bromo and acetoxy derivatives with reactive silicon functional groups. Bromination with bromine in carbon tetrachloride at low temperature replaced both Si-H hydrogens but also caused partial cleavage of Si-C phen…

Application of the finite difference method to the solution of boundary value problems on Riemann surfaces

This paper extends finite difference methods to boundary value problems for second order elliptic equations on finite Riemann surfaces represented as bounded multi-sheeted domains. It constructs mesh equations for ordinary points, boundary nodes, and branch points, using local parameters near ramifi…

On the Mobility of Hydrogen in the Methoxy Group of Aromatic Compounds Depending on Other Substituents

This study examines how the mobility of hydrogen atoms in methoxy groups attached to aromatic systems depends on the aromatic ring and on the nature and position of additional substituents. Deuterium exchange kinetics were measured for anisole, isomeric methoxynaphthalenes, fluoroanisoles, dimethoxy…

The First Organometallic Compounds with $\mathrm{Si}$ – $\mathrm{Si}$ – $\mathrm{Hg}$ and $\mathrm{Si}$ – $\mathrm{Hg}$ – $\mathrm{Ge}$ Moieties

The paper reports the synthesis and characterization of new organoelement mercury compounds containing Si-Si-Hg, Si-Si-Hg-Si-Si, Si-Hg-Ge, and Si-Si-Hg-Ge groupings. Pentaethyldisilane was reacted with diethylmercury to give ethyl-(pentaethyldisililyl)-mercury and bis-(pentaethyldisililyl)-mercury, …

ON SOME REGULARITIES IN THE STRUCTURE OF MELTS IN THE SYSTEMS $\mathrm{Me}_2\mathrm{O}_3$—$\mathrm{SiO}_2$

This paper examines structural regularities in melts of trivalent metal oxide, silica systems, focusing on the occurrence and width of liquid immiscibility regions. Using published liquidus data, calculated cation radii, radius ratios, and estimated maximum oxygen coordination, it relates the compos…

Synthesis of Mono- and Diacetals of Furan Dialdehydes

This paper examines electrophilic addition of alpha,beta-unsaturated aldehydes to furan acetals as a route to monoacetals and diacetals of furan dialdehydes. The authors compare the reactivity of furfural acetal and substituted dimethoxypropylfurans with acrolein and crotonaldehyde under acidic cond…

Some Properties of Linear Superpositions of Smooth Functions

The paper studies linear superpositions of smooth functions and their limitations in representing continuous functions of several real variables. It introduces a notion of dimensionality for function spaces based on distinguishability at small scales, showing that dense classes such as analytic func…

Generalized Analogy Between Mass Transfer Coefficients in a Laminar Multicomponent Boundary Layer with an Arbitrary Pressure Gradient

This paper extends a generalized analogy for mass transfer in a laminar multicomponent boundary layer to flows with arbitrary longitudinal pressure gradient and arbitrary surface blowing distribution, in the absence of homogeneous reactions. Using effective diffusion coefficients, Dorodnitsyn-Stepan…

Approximation of Continuous Functions by S. N. Bernstein Polynomials

This paper studies uniform approximation of an arbitrary continuous function on the unit interval by Bernstein polynomials, with the error expressed in terms of the function’s modulus of continuity. Starting from earlier constants due to Popoviciu and Li Wen-ching, it estimates the asymptotic behavi…

On a Class of Finite Homomorphisms

The paper studies finite homomorphisms of the natural numbers, that is, completely multiplicative functions with finitely many complex values, whose summatory functions have the form S(x) = alpha x + O(1). It addresses the principal case of the character problem by proving that every principal gener…

Proton nuclear magnetic resonance at $93^\circ$ K in water adsorbed on silica gel

Proton nuclear magnetic resonance at 93 K was used to examine hydroxyl groups and adsorbed water on coarse-pore silica gel over a range of water coverages. Analysis of line shapes and second moments indicates at least three types of surface silanol sites, differing in local proton environment, and s…

On a Problem in Approximation Theory Related to Superpositions of Functions

This note studies uniform approximation of superpositions generated by one continuous functional by superpositions generated by another, within classes of bounded real functions satisfying a Lipschitz, or Hölder with constant one, condition. It gives exact best approximation bounds for linear functi…

On Limit Distributions in a Stochastic Model of Learnability

This paper studies the asymptotic behavior of a Markov chain model of learning in which a subject updates response probabilities after random environmental feedback. For the two-response case, it derives recurrence relations for the moments of the response probability under three types of environmen…

On Free Radicals as Intermediates in the Oxidation of Pyridylthiazolylcarbinols and Some Other Secondary Carbinols

This study examines the formation of free radicals as intermediates in the oxidation of pyridylthiazolylcarbinols and related secondary carbinols in alkaline polar media. Using electron paramagnetic resonance, ultraviolet spectroscopy, kinetic observations, and product isolation, the authors show th…

On the condition for generation of a two-layer crystal

This paper derives the self-excitation condition for electromagnetic wave generation in an active plane-parallel uniaxial crystal plate composed of two equal layers with arbitrarily oriented optical axes. Using Maxwell’s equations and boundary conditions at the external surfaces and internal interfa…

On the Thixotropy of Polymers in the Viscofluid State

This paper investigates whether condensed polymers in the visco-fluid state exhibit thixotropy associated with changes in supramolecular structure during deformation. Using polyisobutylene studied on a rotational elastoviscosimeter, the authors measured stress as a function of deformation at differe…

Thermochemistry of tetraethylsilane and hexaethyldisilane

This study determines thermochemical characteristics of tetraethylsilane and hexaethyldisilane in order to evaluate silicon-carbon and silicon-silicon bond energies in alkyl compounds of group IV elements. The compounds were synthesized, characterized by boiling point, density, refractive index, and…

Chemical composition of the “Blaise reagent”

This study examines the chemical composition of “Blaise’s reagent,” whose assumed content of mixed organozinc compounds of definite composition had not previously been demonstrated, especially in the aliphatic series. The authors use the ability of mixed organozinc compounds to form crystalline comp…

Properties of the double layer and the nature of electrostatic ion adsorption

This paper examines how a compact dielectric interlayer near an interface modifies the structure of the electrical double layer and the electrostatic adsorption of ions. Using Gibbs statistical methods and correlation functions, the authors derive expressions for the interaction of ions with an exte…