Recent Papers

In the article by I. V. Gostunskaya, V. A. Mironov, N. B. Dobroserdova, and B. A. Kazanskii, “On the Chemical Nonequivalence of Active Hydrogen Sorbed by a Skeletal Nickel Catalyst,” published in DAN, vol. 153, no. 5, 1964, in Table 1, in the column “hexene-1 sample weight,” instead of the printed 0.33 g, read: 3.3 g.

ON THE APPLICATION OF THE METHOD OF INTEGRAL OPERATORS TO THE STUDY OF THE STEADY STATE OF ELASTIC-HEREDITARY SYSTEMS

This paper studies the steady state of elastic hereditary systems governed by Volterra integral equations whose kernels may have forms that make closed form solution impractical. It proves a theorem giving a direct limiting solution for equations with positive input and kernel when the integral of t…

Study of Catalyzed Crystallization of Glass

This study examines catalyzed crystallization in Li2O, Al2O3, SiO2 glasses containing TiO2 and small additions of other oxides, with heat treatments from 600 to 1000°C. Electron microscopy, X-ray diffraction, and optical absorption measurements are used to characterize structural and phase changes d…

Functors in the Category of Locally Convex Spaces

This note studies spaces of sequences with terms in a locally convex space as functorial constructions, extending earlier work on Banach spaces to categories of separated locally convex spaces, especially nuclear Frechet spaces. Starting from a perfect sequence space with a normal topologizing syste…

On the mechanism of porphyrin regeneration after the photoreduction reaction

This study examines the regeneration of porphyrins after reversible photoreduction, using spectral and kinetic measurements on mesoporphyrin, protoporphyrin, tetraphenylporphyrin, and tetraazaporphin in alcohol, pyridine media with reducing agents such as ascorbic acid or hydrogen sulfide. The autho…

On the Completeness of the System of Eigen and Associated Elements of Operators That Are Rational Functions of a Parameter

This paper studies multiple completeness of systems of eigen and associated elements for compact operator pencils that are rational functions of a complex parameter in a separable Hilbert space. It develops growth estimates for resolvents near infinity and near finite singular points, using a Phragm…

Kinetics of the polymerization of acetylenic hydrocarbons initiated by azobisisobutyronitrile

The paper examines the radical polymerization kinetics of phenylacetylene and related acetylenic hydrocarbons initiated by azoisobutyric acid dinitrile, focusing on features not complicated by chain decomposition of the initiator. Volumetric measurements of initiator decomposition and polymerization…

On stereospecific effects in interfacial polycondensation

The study examines whether changing interfacial polycondensation from a liquid, liquid boundary to a liquid, crystalline boundary affects stereospecific incorporation of enantiomeric monomers. Polyamides were synthesized from optically active 1,2-l-propylenediamine and racemic trans-cyclopropanedica…

Vincarine—a new alkaloid from the roots of Vinca erecta Rgl. et Schmalh

The paper reports the continued separation of alkaloids from the roots of Vinca erecta and describes the isolation of a new crystalline base, named vincarine. Elemental analysis, thin-layer chromatography, acetylation, Kuhn-Roth oxidation, and infrared and ultraviolet spectroscopy are used to charac…

Study of the Catalytic Oxidation of Ammonia on Platinum by the Secondary Ion Emission Method

This study examines the catalytic oxidation of ammonia on platinum at low pressure using secondary ion emission mass spectrometry, comparing surface-emitted ions with ions formed from the surrounding gas phase. The authors report formation of water, nitrogen, and nitric oxide beginning near 200 degr…

The Symmetrization Principle for Multiply Connected Domains

This paper proves a symmetrization principle for functions regular in multiply connected planar domains bounded by finitely many Jordan curves, extending Hayman’s principle and a generalization by Abe and Kobori. Using Lindelöf’s principle, it establishes a lower bound for the inner radius of the im…

A New Reaction for the Formation of Stable Wurster Salts

This paper reports a reaction in which stable Wurster-type cation radicals are formed by interaction of organic free radicals with N,N′-disubstituted p-phenylenediamines in acidic ethanol, acetic acid medium. The authors examined nine p-phenylenediamine derivatives with aroxyl, diarylpicrylhydrazyl,…

On a Riemann Boundary Value Problem with Infinite Index

This paper studies the Riemann boundary-value problem on a domain with boundary interval extending to infinity in the case where the coefficient has infinite positive index, modeled by an argument growing as a Hölder perturbation of a positive multiple of t to the power rho, with 0 < rho < 1/2. A ca…

Gravitational Waves and Superstars

The note examines the possible role of gravitational-wave emission in the collapse of supermassive star-like objects proposed as counterparts of compact radio sources. Using order-of-magnitude estimates for rotating nonspherical configurations, close binary superstars, and anisotropic compression, t…

On the Reactivity of Alkenylmethylsiloxanes in Reactions with Diazomethane and Phenyl Azide

This study examines how the position of alkenyl groups relative to silicon affects the reactivity of organosiloxanes in additions with diazomethane and phenyl azide, and in a Diels-Alder reaction with butadiene-1,3. Vinylheptamethylcyclotetrasiloxane and 3-vinylheptamethyltrisiloxane readily formed …

X-ray $K$ emission spectra of titanium in lower oxides $(\mathrm{Ti}-\mathrm{TiO}_{0,48})$

This study investigates the electronic structure and bonding in lower titanium oxides within the homogeneity range Ti to TiO0.48 using X-ray K-emission spectroscopy. Fluorescence spectra were recorded for titanium and several oxygen solid solutions, and changes in the titanium K beta and K alpha lin…

On the Boundedness of Solutions of Some Linear Partial Difference Equations

The paper studies boundedness and stability of solutions to linear partial difference equations with values in a complex Banach space on an unbounded multidimensional domain, under natural boundary conditions. It formulates necessary and sufficient stability criteria first for constant operator coef…

On the multiplicity of the spectrum of a self-adjoint ordinary differential operator

This paper studies the spectral multiplicity of self-adjoint operators in L2 generated by formally self-adjoint ordinary differential expressions of arbitrary even order, allowing one or both endpoints of the interval to be singular. Using properties of solutions of the equation l[y] = λy on a fixed…

Early Stages of Crystallization as a Method for Establishing the Heterogeneity of Crystal Surfaces

This paper examines whether the earliest stages of chemically induced crystallization can serve as an electron-microscopic decoration method for identifying active sites on crystalline surfaces. Lead sulfide was deposited slowly from aqueous solution onto silicon single crystals grown by the Czochra…

Effect of the Phase State on the Nature of Reactions of Tritium Recoil Atoms in Cyclohexane–Benzene Mixtures

This study examines how phase state affects hydrogen abstraction and substitution reactions of tritium recoil atoms in benzene, cyclohexane, and their binary mixtures. Samples were neutron irradiated in gas, liquid, and solid phases, and the distribution of radioactivity among HT and labeled hydroca…

Inversion of the indicatrix for “soft” particles

This paper addresses the recovery of particle size distributions in dilute disperse systems from measured light scattering indicatrices, with special attention to optically soft particles whose refractive properties differ only slightly from the surrounding medium. Using the analytic form of the sin…

On the Configurational Statistics of Macromolecular Chains

This paper develops an exact method for calculating the configurational integral of high molecular polymer chains with hindered rotations, where the interaction potential depends on distances related to angular configurations of neighboring links. The authors first treat a planar chain with variable…

Estimation of the Complexity of the Reduced Disjunctive Normal Form for Almost All Boolean Functions

The paper studies the typical growth of reduced disjunctive normal forms for Boolean functions and its consequences for constructing minimal disjunctive normal forms. It introduces the average number of maximal intervals in the reduced form, derives an exact summation formula for this average, and s…

On the Directed Search for New Bifunctional Catalysts

This study examines the directed search for bifunctional catalysts for acylation reactions as models of enzymatic catalysis, focusing on compounds of the type R-COMH in which the hydrogen-bearing atom is nitrogen or sulfur rather than oxygen. The authors measured catalytic effects of thioacetic acid…

Change in the Rate and Direction of Methylcyclopentane Hydrogenolysis during High-Temperature Treatment of an Alumina-Platinum Catalyst with Hydrogen

This study examines how prolonged high-temperature hydrogen treatment of a 0.3% platinum on alumina catalyst affects the rate and selectivity of methylcyclopentane hydrogenolysis. Experiments at 350°C and 50 atm show that treatment with hydrogen at 550°C, intended to remove oxygen and water, sharply…

Equations in variational derivatives and Markov processes in a Hilbert space

This paper studies stochastic differential equations in a separable Hilbert space driven by a Wiener random measure, with a linear evolution operator and nonlinear drift and diffusion terms. Under boundedness, Lipschitz, and differentiability assumptions, it establishes differentiability of the solu…

More on Mahler's Conjecture

This note proves the real case of K. Mahler’s hypothesis on the measure of the set of real S-numbers, establishing that the supremum of the exponents theta_n equals 1 for all n. Building on a previous argument for complex numbers, it develops estimates for integer irreducible polynomials of fixed he…

Emission of Helium Particles in Interactions of High-Energy Pions and Nucleons with Complex Nuclei

This paper investigates the emission of energetic doubly charged helium particles in interactions of high energy protons and pions with complex nuclei in photographic emulsions, with emphasis on particles above 100 MeV where nuclear evaporation mechanisms are excluded. Using Ilford G-5 emulsion stac…

Problem of Diffraction of a Plane Wave by a Wedge Moving at Supersonic Speed

This paper analyzes the self-similar diffraction produced when a weak plane compression wave reaches the vertex of a finite-angle wedge moving supersonically with an attached oblique shock, for an arbitrary angle between the incident wave front and the wedge axis. After linearizing the unsteady gas-…

A New Determination of the Atomic and Electronic Structure of Dicyandiamide

The study refines the crystal and molecular structure of dicyandiamide and compares it with cyanamide to clarify changes in carbon, nitrogen bonding upon dimerization. Three-dimensional X-ray electron-density syntheses using 479 reflections were combined with self-consistent-field molecular-orbital …

On the Structural Definability of a Torsion-Free Locally Nilpotent Group

This paper studies whether locally nilpotent torsion-free groups are determined by the lattice structure of their subgroups, and how structural isomorphisms relate to mappings of group elements. Building on known results for abelian, nilpotent, and metabelian groups, it proves that a nonabelian loca…

On the Physical Nature of Steady-State Motions in Nonlinear Impulsive Systems

This paper examines why simple periodic motions are frequently observed in nonlinear pulse systems despite formal arguments suggesting that periodic motions should be exceptional because admissible frequencies form a countable set. Using an approximation by the predominant harmonic and an equivalent…

ON THE INVERSE PROBLEM FOR THE STURM–LIOUVILLE EQUATION

This paper studies the inverse spectral problem for a singular Sturm-Liouville equation on the half-line with locally summable real potential and two different boundary conditions at the origin. For a class of potentials characterized by specified asymptotic and separation properties of the spectral…

Statistical Problems with Nuisance Parameters

This paper studies hypothesis testing with nuisance parameters in exponential families, focusing on hypotheses expressed as polynomial relations among the natural parameters. It restricts attention to randomized similar tests based on sufficient statistics and considers optimality against simple or …

On the Addition of Methylhydridosilacycloalkanes and Their Open-Chain Analogs to Ethylene

This study examines the catalytic addition of methylhydridosilicacycloalkanes and related open-chain hydridosilanes to ethylene as a route to 1,1-substituted silicacycloalkanes. Reactions were carried out at atmospheric pressure and 20 to 70 °C over platinized carbon, with reaction progress assessed…

Conductivity of an electrolytic $\mathrm{NaCl}$ solution in high-density water vapor

This paper reports measurements of the electrical conductivity of a one-molal NaCl solution in high-density water vapor under supercritical conditions. The authors used a platinum electrode cell in a high-pressure chamber and an alternating-current bridge, correcting for polarization by extrapolatin…

Synthesis of Polybenzoxazoles

This communication describes the synthesis of fully aromatic polybenzoxazoles intended as thermally stable polymers, using 3,3′-dioxybenzidine and aromatic dicarboxylic acid dichlorides. The authors prepare polyoxyamide intermediates at low temperature in polar aprotic solvents, then convert them by…

On a Scheme of the Numerical Method of Characteristics

This paper presents a layer-by-layer scheme for the numerical method of characteristics intended to simplify computation of steady supersonic gas flow around three-dimensional bodies between a shock wave and the body surface. The authors formulate the approach in transformed coordinates and test it …

Analysis of Mathematical Models of Condensed-Phase Combustion

This paper analyzes mathematical models for combustion of a condensed phase, emphasizing cases in which an exothermic reaction within the condensed material contributes substantially to propagation of the combustion front. The authors formulate a boundary-value problem for the temperature profile an…

On the Nature of 1-Acylpyridinium Chlorides

This study examines the nature of addition products formed between acid chlorides and pyridine, addressing whether they are molecular complexes or true acylpyridinium salts. A series of 1-acylpyridinium chlorides was synthesized under rigorously anhydrous, low-temperature nitrogen conditions, and th…

On the Addition of Finite Sets

The paper studies additive structure under small doubling, especially finite sets of integers K for which the sumset 2K has size less than C times the size of K. It proves that such a set is contained in the homomorphic image of the lattice points of a convex set in a bounded-dimensional integer lat…

Study of the Navier–Stokes Equations by Methods of the Theory of Parabolic Equations in Banach Spaces

The paper studies the first boundary value problem for the nonstationary Navier-Stokes equations by projecting the system onto spaces of solenoidal functions and treating the resulting evolution equation in the Banach space setting. It establishes resolvent estimates for the Stokes operator in \(H_q…

On the Dependence of Adsorption Potentials at the Mercury/Electrolyte Interface on the Magnitude of Adsorption of Neutral Molecules

This paper examines how to choose the appropriate electrical variable, electrode potential or electrode charge, for describing adsorption of neutral organic molecules at the mercury, electrolyte interface. Using electrocapillary relations, the authors derive alternative adsorption criteria and show …

On a General Mixed Problem

This note studies a general mixed initial-boundary value problem in a rectangle for a two-dimensional integro-differential equation of arbitrary order, including as a special case mixed problems for general hyperbolic equations. Under smoothness assumptions, compatibility conditions at the corner po…

On the Entropy Maximization Method in the Theory of Rarefied Gases

This note proposes using the maximum entropy distribution, subject to prescribed moments, to truncate Maxwell moment equations in rarefied gas theory as an alternative to Grad’s expansion in Hermite functions. For ten and thirteen moment approximations, the method yields moment equations, slip condi…

Investigation of anomalously large photovoltages in thin silicon films

This paper investigates anomalously large photovoltages in thin silicon films prepared from both high-resistivity and low-resistivity silicon, focusing on their dependence on illumination, temperature, wavelength, and light polarization. Measurements show an approximately linear dependence of photov…

Reaction of Organomagnesium Compounds with 2,5-Dimethoxy-2,5-Dihydrofurans

This study examines the reactions of organomagnesium compounds with the heterocyclic acetals 2,5-dimethoxy-2,5-dihydrofuran and 2,5-dimethoxy-2,5-dihydrosilvan. Grignard reagents were reacted with these substrates under ether conditions, and the resulting products were characterized by physical cons…

Corrections to the Article Two Variants of Classical Predicate Calculus without Structural Rules of Inference (Doklady Akademii Nauk, vol. 147, no. 5, 1962)

Periodic Oxidation Reactions in the Liquid Phase

This paper reports a class of homogeneous liquid phase periodic oxidation reactions related to the Belousov reaction, in which bromate oxidizes compounds containing active methylene groups in strongly acidic solution with cerium or manganese ions as catalysts. Using optical absorption and electrode …

On Extremal Paths of Plastic Deformation

This paper studies extremal paths of plastic deformation in a hardening material whose yield surface is defined by a loading function depending on stress, plastic strain, and a hardening parameter given by the length of the plastic strain path. Using the associated flow law and variational calculus,…