Recent Papers

Corrections to the Article Electron Microscopic Study of the Effect of Surface-Active Additives on the Hydration of Periclase (Doklady Akademii Nauk, vol. 125, no. 4, 1959)

On the synthesis of self-correcting contact circuits

The paper studies the synthesis of contact circuits that preserve their realized Boolean function under specified contact faults, with emphasis on short-circuit failures. After defining self-correction relative to a fault mapping, it compares a straightforward redundant construction, which increases…

Extraction Involving Three Chelating Agents

This study examines chloroform extraction of colored metal complexes formed only in the simultaneous presence of three different chelating agents. A series of azo, hydroxyquinoline, phosphate, nitroso, and beta-dicarbonyl reagents was tested with scandium, yttrium, rare-earth elements, thorium, zirc…

Effect of Benzene Vapor Adsorption on the Electrical Conductivity of Transparent Platinum Films of Various Surface Densities

This paper examines how benzene vapor adsorption at 20 degrees C affects the electrical conductivity of transparent platinum films with different surface densities. Platinum films were prepared by metal sublimation under high vacuum, exposed to controlled benzene vapor flows, and monitored during st…

On Chebyshev sets

This note studies Chebyshev sets in finite-dimensional Banach spaces, where each point has a unique nearest point in the set. Building on a theorem of Efimov and Stechkin for bounded sets, it argues that the boundedness assumption can be omitted by first showing that such sets are sets of existence …

On the Theory of Summation of Double Series by Borel Methods

This paper studies Borel summation methods for double series, focusing on sectorial summability methods denoted \(B_\lambda\) and \(B'_\lambda\), and their limiting forms \(B\) and \(B'\). It extends earlier regularity results by giving more general sufficient conditions under which a convergent dou…

Coextraction of Tungsten and Some Other Elements

This paper examines co-extraction as a distinct extraction phenomenon, focusing on cases where elements are transferred into an organic phase through the formation of mixed polynuclear compounds rather than adsorption or simple extraction of monomeric ions. Using radiolabeled tungsten and niobium, t…

Molecular Mechanism in the Deformation of Polymeric Substances

This paper examines the molecular mechanism of deformation in polymeric substances, especially rubbers, and argues that existing statistical and relaxation theories insufficiently describe the coupled structural changes occurring during deformation and contraction. Using concepts from macromolecular…

Structure of arylmercury derivatives of nitroanilines and nitronaphthylamines

This study examines the structure of arylmercury derivatives formed from nitroanilines and nitronaphthylamines, a question relevant to the behavior of mercury in tautomeric and pseudomeric systems. Phenylmercury and dimethylaminophenylmercury hydroxides were reacted with selected nitroanilines and n…

On the synthesis of dihydric alcohols of the siloxane series. Synthesis of bis-( $\beta$ -hydroxyethoxymethyl)-polydimethylsiloxanes

This paper investigates the synthesis of dihydric organosilicon alcohols of the siloxane series, specifically bis-(beta-hydroxyethoxymethyl)-polydimethylsiloxanes with varied molecular weights. The authors study cohydrolysis of dimethyldiethoxysilane with a heterocyclic chain-terminating siloxane de…

Catalytic Transformations of Cyclodecane in the Presence of Platinized Carbon

This study examines the catalytic transformations of cyclodecane over platinized carbon, a system previously uncharacterized in comparison with smaller cycloalkanes and palladium catalysis. Cyclodecane was passed over 5 percent and 20 percent platinum on carbon at 300 to 310 °C, and the resulting co…

Corrections to the Article “The Riemann–Hilbert Problem for a Holomorphic Vector” (Doklady, Vol. 126, No. 4, 1959)

On the structure of $9$-aminoacridine

This paper examines the disputed amino versus imino structure of 9-aminoacridine using infrared spectral evidence, especially changes produced by N-deuteration. The authors compare spectra of 9-aminoacridine, its deuterated derivative, heterocyclic amines, N-methyl-9-acridonimine, and acylated deriv…

STABILITY OF A CYLINDRICAL SHELL REINFORCED BY RINGS UNDER EXTERNAL PRESSURE

The paper analyzes the elastic stability of a circular cylindrical shell reinforced by uniformly spaced identical rings and subjected to external pressure, with hinged shell edges assumed in the formulation. The authors treat shell spans and rings as separate interacting elements, express displaceme…

Expansions in Special Biorthogonal Systems and Boundary Value Problems for Fractional Differential Equations

This note studies biorthogonal systems generated by linear combinations of Mittag-Leffler type functions and analyzes their use in expansions on a finite interval. The authors establish an integral identity leading to biorthogonality, describe the zeros of the associated entire function including as…

INVESTIGATION OF THE RADIOLYTIC OXIDATION OF FERROUS IRON AT HIGH IRRADIATION DOSE RATES

This study examines how very high irradiation dose rates affect the radiolytic oxidation of ferrous iron in dilute sulfuric acid, a system widely used for chemical dosimetry. The authors generated single pulsed electron beams with minimized dark current and measured absorbed energy using an integrat…

Standard enthalpies of formation of some picrates

This study determines standard enthalpies of formation for sodium, potassium, lithium, and ammonium picrates, for which reliable thermochemical data were lacking. The authors measured enthalpies of solution and neutralization calorimetrically, refined the combustion enthalpy and formation enthalpy o…

On the Effect of Corrosion Inhibitors on Corrosion-Mechanical Wear

This study examines the role of electrochemical corrosion in the corrosion-mechanical wear of nitrocarburized steel 4 × 13 in Moscow tap water and evaluates whether corrosion inhibitors can reduce such wear. Using an Kh2M wear apparatus at 40°C, the authors measured volumetric wear under anodic and …

The Relationship between $\varepsilon$-Entropy, the Rate of Approximation, and Nuclearity of a Compact Set in a Linear Space

This note studies the relationship between epsilon entropy, Kolmogorov widths, and nuclearity for centrally symmetric convex compact sets in Banach and locally convex spaces. It derives two-sided estimates connecting the epsilon entropy of a compactum with functions determined by its sequence of wid…

Properties of the Acetylene Group Bound to a Pyridine Ring

The paper examines the synthesis and reactivity of acetylenic and vinyl derivatives of pyridine, focusing on 2-methyl-5-ethynylpyridine prepared from brominated 2-methyl-5-vinylpyridine. The authors describe dehydrohalogenation and substitution pathways leading to ethynylpyridine, bromovinylpyridine…

On the theory of differential equations $\frac{dx}{dt}=f(x,t)$ in locally convex spaces

This paper extends several results on ordinary differential equations in Banach spaces to complete locally convex spaces for equations of the form dx/dt = f(x,t). It introduces an integral for functions with values in a locally convex space, records its basic properties, and uses it to reformulate d…

Preparation of Diferrocenyl by the Ullmann Reaction

This paper reports an improved synthesis of diferrocenyl using the Ullmann reaction of iodoferrocene with freshly prepared Gattermann copper. In contrast to earlier routes from diferrocenylmercury or lithiated ferrocene derivatives, which gave low yields or unspecified results, heating molten iodofe…

On a Class of Hypoelliptic Systems

This paper introduces quasi-elliptic systems of differential equations with variable smooth coefficients, a class defined through weighted principal parts of the determinant and a nondegeneracy condition on the system. The class is shown to include elliptic systems in the Douglis and Nirenberg sense…

A New Cavitation Method for Emulsion Polymerization

This paper proposes a cavitation method for emulsion polymerization that avoids added emulsifiers, addressing their adverse effects on polymer purity, structure, and insulating properties. The method generates cavitation by injecting superheated steam through a capillary into a liquid phase, where r…

High-Temperature Condensation of Chloroprene with Methyldichlorosilane

This study examines the high-temperature condensation of chloroprene with methyldichlorosilane as a route to silicon-containing dienes, motivated by limitations of direct synthesis for chloroprene derivatives. Condensations at 550 to 600°C were followed by alkylation with ethylmagnesium bromide or m…

CREEP OF ICE AND FROZEN SKELETAL SOILS UNDER A COMPLEX STATE OF STRESS\*

This paper examines the creep of ice and frozen skeletal soils under simple and complex stress states, based on long-duration experiments involving compression, tension, bending, shear, and combined torsion with longitudinal compression. It refines constitutive relations for steady and initial creep…

A NOTE ON THE APPLICATION OF SOLVABILITY CONDITIONS FOR THE CHAPLYGIN PROBLEM TO QUESTIONS IN THE QUALITATIVE THEORY OF EQUATIONS

The paper applies solvability conditions of Chaplygin type to qualitative questions for operator and Volterra integral equations in partially ordered spaces. It formulates a comparison lemma for operators possessing a monotonicity property, then uses it for integral equations in Banach spaces equipp…

Asymptotic Behavior of Solutions of a Second-Order Linear Differential Equation in a Banach Space as the Small Parameter at the Highest Derivative Tends to Zero

This paper studies the singular perturbation of a second order linear ordinary differential equation in a Banach space when a small positive parameter multiplies the highest derivative and tends to zero. Under smoothness and boundedness assumptions on the coefficients, with a positive scalar coeffic…

Effect of Multiple Scattering on Transition Radiation

This paper analyzes how multiple scattering in a medium modifies transition radiation produced by a relativistic charged particle crossing an interface between the medium and vacuum. Using coherence length arguments and estimates of angular deflection over the radiation formation path, it revises ea…

Economical implicit schemes (method of fractional steps)

This paper studies implicit finite difference schemes for linear systems of partial differential equations with constant coefficients, focusing on reducing the computational complexity that arises in stable homogeneous two-layer schemes. It formulates the method of fractional steps, in which one tim…

Reversible Changes in the Gas Permeability of Polymers During Gamma Irradiation

This study examines whether gamma irradiation produces reversible changes in gas permeability of polymers while diffusion is occurring in the radiation field. Using a manometric apparatus with a cobalt-60 source, the authors measured helium and xenon permeability through polyethylene and helium perm…

Electrical discharge during the passage of meteors through the Earth's atmosphere

This paper proposes electric gas discharge as a mechanism for electromagnetic phenomena accompanying meteors, including halos, radio emission, magnetic disturbances, and auroral effects. It models the ionized meteor trail as a highly conducting elongated body in the ionospheric electric field and es…

On the Complete Continuity of the Embedding Operator in the Case of an Unbounded Domain

This note gives sufficient conditions for complete continuity of embedding operators for Sobolev type spaces on unbounded Euclidean domains, including restrictions of functions to lower dimensional hyperplanes. It defines weighted spaces with fractional or integral smoothness and proves compactness …

Corrections to the article “Thermodynamic Properties of Indium Antimonide” (DAN, Vol. 130, No. 5, 1960)

Real part of the elastic scattering amplitude at high energies

This paper examines the real part of the elastic scattering amplitude for high energy pion, proton interactions using dispersion relations and assumptions about the asymptotic behavior of total cross sections. It argues that, if high energy cross sections approach constant limiting values and scatte…

Acetylation and Deuterium Exchange Reactions in the Sydnone Series

This study examines electrophilic substitution in sydnones through acetylation and deuterium exchange at the 4 position of the sydnone ring. Acylation of 3-phenylsydnone failed under several conventional Friedel-Crafts type conditions but proceeded with acetic anhydride and boron trifluoride etherat…

On the Relationship Between Measurements Using Charged-Particle Traps on Soviet Space Rockets and Magnetic Field Measurements on the American Explorer IV Satellite and Pioneer V Rocket

This paper compares Soviet charged-particle trap observations of an outer electron belt near Earth with American magnetometer measurements from Explorer VI and Pioneer V that indicated persistent geomagnetic-field perturbations beyond about 5 Earth radii. The authors argue that the inferred magnetic…

Temperature and concentration dependence of the frequencies and intensities of Raman scattering lines in mixtures of ketones with chloroform

This study examines how concentration and temperature affect Raman line frequencies and integral intensities in mixtures of ketones with chloroform, with comparison to solutions in hexane and to the pure liquids. Using photoelectric Raman measurements over a broad temperature range, the authors anal…

Effect of Various Gas Treatments on the Catalytic and Magnetic Properties of a Chromium Oxide Catalyst

This study examines how thermal treatment of chromium hydroxide and chromium oxide in hydrogen, nitrogen, air, and atomic hydrogen affects the magnetic and catalytic properties of chromium oxide catalysts. Magnetic susceptibility measurements were compared with catalytic tests in isopropyl alcohol d…

Mechanism of Gas Formation during the Radiolysis of Organic Substances and Its Relationship to Their State of Aggregation

This study examines whether the abrupt increase in gas evolution previously observed during polymer radiolysis is tied to aggregate state rather than to radiation-enhanced thermal decomposition or polymer-specific degradation mechanisms. Low-molecular organic compounds, including n-octane, n-decane,…

Bifurcation Equation and Newton Diagram

The paper studies branching of solutions to nonlinear equations in Banach spaces when the derivative with respect to the unknown is a Fredholm-type operator with finite-dimensional kernel and cokernel. It gives a Lyapunov-Schmidt reduction for such equations, including cases relevant to nonlinear si…

Equilibrium diagram of the $\mathrm{Ti}$ – $\mathrm{Al}$ – $\mathrm{Sn}$ system

This study examines phase equilibria in the Ti-Al-Sn ternary system within the region bounded by Ti, Ti3Sn, and TiAl, a composition range relevant to thermally stable titanium alloys. Alloys prepared by arc melting were forged where necessary, subjected to prolonged stepwise vacuum annealing, and an…

On Optimal Control of Systems with Distributed Parameters

This paper formulates optimal control problems for systems with distributed parameters, extending beyond the lumped-parameter systems usually treated by existing optimal control methods. It considers objects described by partial differential equations with controls depending on time, space, or both,…

Arbuzov Rearrangement of Vinyl Esters of Phosphorous and Phenylphosphonous Acids

This study examines the Arbuzov rearrangement of newly accessible vinyl esters of phosphorous acid and related phenylphosphinous acid derivatives. The authors compare the behavior of mono- and divinyl phosphites with alkyl iodides under varying temperatures and reaction times, and also investigate r…

LACUNAS OF NONHYPERBOLIC EQUATIONS

This paper constructs examples of linear constant coefficient nonhyperbolic equations whose Cauchy problems nevertheless possess lacunas, addressing a gap left by earlier results on hyperbolic equations and finite domains of dependence. It studies a class of homogeneous operators whose characteristi…

Majorization of Feynman Diagrams

The paper develops a systematic method for majorizing Feynman diagrams in perturbation theory, aimed at identifying domains of analyticity relevant to dispersion relations. It defines a quadratic form associated with a diagram through Feynman parameters and internal momenta, introduces a correspondi…

Corrections to the article “Approximation of functions differentiable in the sense of Weyl by Vallée-Poussin sums” (DAN, vol. 131, no. 2, 1960)

$o$-Hydroxybenzenesulfinic Acid: A New Analytical Reagent and Structural Analogue of Salicylic Acid

This paper reports the synthesis and analytical study of o-hydroxybenzenesulfinic acid, proposed as a water-soluble structural analog of salicylic acid and a new reagent for metal ions. Spectrophotometric measurements were used to characterize its acid dissociation behavior and its complexes with ir…

Formation of a Single-Crystal Ice Granule During Freezing of a Supercooled Water Droplet

This paper investigates the crystallization of supercooled water drops into ice granules, emphasizing the use of transmitted polarized light between crossed nicols to characterize their internal crystallographic structure. Experiments with suspended droplets show that, depending on supercooling, dro…

On the wave guide in the earth mantle, and its physical nature

This paper examines whether a low-velocity layer in the upper mantle can act as a seismic waveguide, using records from Soviet seismic stations for nine earthquakes at epicentral distances chosen to avoid overlap with known phases. Travel-time curves and amplitude attenuation were analyzed for the p…