I. V. ROMANOVSKII
This note studies why optimal strategies in certain antagonistic games with random mediation or asymmetric information can often be chosen without additional randomization. It analyzes two models: a bluffing game in which one player observes a continuously distributed parameter affecting payoffs, an…
R. M. AMINOVA
This paper extends Pople’s molecular orbital treatment of diamagnetism to cyclic molecules and applies the resulting expressions to the magnetic anisotropy of cyclopropane. Using a one-electron LCAO approximation in a magnetic field, the author derives interatomic diamagnetic and paramagnetic suscep…
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This note studies the local and compact structure of the set of critical points of a nonconstant harmonic function in a three-dimensional domain. Using standard results on real-analytic sets, including decomposition into irreducible components and the local behavior of one-dimensional analytic sets,…
Academician I. L. Knunyants
This study examines how substituents affect fluorine-19 NMR chemical shifts and fluorine-phosphorus spin-spin coupling constants in fluorophosphates, fluorophosphonates, and related fluoroanhydrides. High-resolution NMR measurements are used to derive additive substituent increments for both shieldi…
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The paper introduces pulsating elements, a class of automata networks in which element states and interconnections are updated simultaneously according to finite neighborhoods, generalizing ordinary logical networks with fixed connections. It defines networks, neighborhoods, block substitutions, and…
M. N. FOKIN, R. L. BARU
The paper examines anodic protection and overprotection of VT-1 titanium in 20 percent hydrochloric acid at 20 and 80 degrees C, with emphasis on defining potential ranges that maintain stable passivity while limiting corrosion and energy losses. Using potentiostatic measurements with a rotating dis…
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This paper applies an empirical nuclear quadrupole resonance method to determine structural fragments in chlorine-containing chain polymers by calculating Cl35 resonance frequencies from substituent effects transmitted along carbon chains. The authors compare calculated and pulsed NQR measurements f…
Z. V. TROITSKAYA
This paper reports an X-ray diffraction study of the structures of gallium and indium under high pressure, using a high-pressure camera calibrated by bismuth resistance transitions. Gallium compressed to 30 to 40 kbar was found, in several reproducible patterns, to transform to a denser tetragonal s…
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This paper develops a quantum mechanical treatment of medium effects on bremsstrahlung by ultrarelativistic electrons in condensed amorphous matter, extending an earlier method beyond the classical limit while allowing quantum energies comparable to the electron energy. Using perturbation theory, el…
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This paper formulates a physically rigorous treatment of turbulent heat and moisture transfer in clouds and fogs when phase transitions of atmospheric moisture are present. It extends the standard heat and water vapor transfer equations by including liquid water content, condensation, latent heat re…
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This paper reports reactions that replace bromine in bromoferrocene with aromatic and heterocyclic radicals using copper-containing reagents. Tetraphenylborocuprate pyridinate, or mixtures of organoborate salts with cuprous bromide, arylate bromoferrocene to give phenylferrocene and p-tolylferrocene…
Academician of the Academy of Sciences of the Uzbek SSR N. V. LAVROV
This paper reviews and revises proposed mechanisms for carbon combustion and gasification, focusing on the role of intermediate carbon oxygen complexes and the differing behavior of dry and moist reaction media. It argues that earlier schemes inadequately separate heterogeneous surface reactions fro…
O. I. Leipunskii, V. I. Kolesnikov-Svinarev, V. N. Marshakov
This paper investigates the experimentally elusive nonstationary burning rate of smokeless propellant predicted by combustion theory for rapid changes in pressure and heat flux at the burning surface. The authors develop a semi-closed chamber method in which propellant first burns near atmospheric p…
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A theoretical study is presented of an acousto-magnetic effect specific to piezoelectric semiconductors with bipolar conductivity, in which ultrasound propagating perpendicular to an applied magnetic field produces a transverse electric field or current. Using a one-dimensional model with electron a…
M. I. RAVICH, F. E. BOROVAYA
The paper reports experimental determinations of sodium carbonate solubility in water from 200 to 500°C under pressures up to about 1500 to 2400 kg/cm², including conditions above the critical temperature of water. Solubility was measured using pressure concentration curves in an autoclave and check…
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The paper studies saturation phenomena for approximation of continuous periodic functions by positive even singular integrals and by iterated combinations of such integrals. Using Fourier multiplier representations and the Turetskii, Kharshiladze saturation criterion, it proves that under standard m…
G. F. TELENIN, G. P. TINYAKOV
This paper generalizes a previously developed numerical method for supersonic gas-dynamic flow past blunt bodies with detached shock waves to three-dimensional configurations with a plane of symmetry. The method introduces a transformed radial coordinate between the body and the unknown shock surfac…
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This paper studies stability criteria for bases in separable Banach spaces and Hilbert spaces under perturbations weaker than classical norm summability conditions. It first proves equivalent characterizations of unconditional convergence, including regular convergence uniform over the dual unit bal…
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This paper develops a plane plastic deformation model for a material whose hardening from infinitesimal slip is anisotropic and depends logarithmically on the angular separation between slip and shear directions. Under standard plane plasticity assumptions, the authors derive an integral equation fo…
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This paper studies relative stability in probability for sums of nonnegative random variables whose dependence is governed by a Markov chain. Using Dobrushin-type coefficients of ergodicity, it gives sufficient conditions, formulated through truncated marginal distributions and normalizing constants…
S. I. ZUKHOVITSKII, R. A. POLYAK
The paper studies rational Chebyshev approximation formulated as the minimization, over a bounded convex domain with smooth convex constraints, of the maximum of a finite system of fractional linear functions. Although the objective is not convex, the authors argue that it has no local minima in the…
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The paper studies the existence, uniqueness, stability, and instability of time-periodic nonnegative solutions for a quasilinear parabolic equation on a bounded domain with homogeneous boundary conditions and a periodic nonlinearity. The argument reformulates the initial-boundary value problem as an…
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The paper introduces generalized characteristic numbers for trajectories in a punctured neighborhood of an equilibrium, defined through a scalar level function and a distance-like function satisfying monotonicity and subadditivity conditions. It applies these numbers to autonomous differential syste…
M. L. GORBACHUK
This note studies positive definite kernels with values in a Hilbert space and their extensions under commutation conditions with ordinary differential expressions. It proves a representation theorem expressing such operator kernels through fundamental solutions of differential equations and a nonne…
A. N. BARABOSHKIN, L. T. KOSIKHIN, N. A. SALTYKOVA
This study investigates crystallization overvoltage during galvanostatic electrodeposition of silver and copper from molten nitrate and chloride salts onto platinum or tungsten cathodes. By recording cathode potential transients immediately after current pulses, the authors observed maxima in overvo…
L. I. Boguslavskii
The study examines formation of semiconducting polymeric tetracyanoethylene complex films on copper and nickel by measuring changes in Volta potential and electron work function during adsorption, desorption, and film growth. Using a vibrating capacitor method with hydrogen-reduced metal electrodes …
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This paper establishes Poincare type inequalities for functions whose highest derivatives are integrable with powers of the distance to the boundary as weights. Using one dimensional estimates, bridge coverings of smooth bounded domains, and weighted Sobolev classes, the authors derive inequalities …
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The study examines the reaction of diphenyliodonium borofluoride with aliphatic amines under varied solvent and temperature conditions, contrasting it with previously observed arylation behavior of diaryliodonium salts. Experiments with diethylamine and triethylamine showed rapid decomposition of th…
Sh. A. Guberman, M. L. Izvekova, A. I. Kholin, Ya. I. Khurgin
This paper proposes applying pattern-recognition algorithms to problems in production geophysics, especially the integrated interpretation of borehole measurements. It argues that lithological subdivision, identification of mineral-bearing or fluid-saturated beds, estimation of physical properties, …
V. A. GIL’MAN, Ya. M. KOLOTYRKIN
This study examines the mechanism of zirconium dissolution in acidic fluoride solutions, focusing on the relation between metal dissolution, hydrogen evolution, stirring, hydrofluoric acid concentration, and electrode potential. Using potentiostatic measurements and colorimetric determination of dis…
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This paper investigates the poorly understood reduction of pertechnetate, technetium(VII), in hydrochloric acid, with attention to acid concentration, time, temperature, and possible intermediate oxidation states. Spectrophotometric measurements in concentrated hydrochloric acid were combined with e…
Yu. A. Arkhangel’skii
This paper studies periodic motions of a heavy rigid body about a fixed point under rapid rotation, using the Euler-Poisson equations reduced to a quasilinear autonomous system with two degrees of freedom. It derives new particular periodic solutions for the resonant case in which the parameter omeg…
S. S. Batsanov, V. I. Rigin
This paper reports the synthesis and characterization of thallium chalcogenohalides formed by adding sulfur or selenium to monovalent thallium halides. Equimolar mixtures of thallium chloride, bromide, or iodide with sulfur or selenium were heated in sealed ampoules, and the products were examined b…
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The paper studies the probability that a Markov random point in Euclidean space enters a small moving neighborhood of a time-dependent differentiable submanifold. Using the Kolmogorov equation for the transition density, it constructs local coordinate frames adapted to the diffusion operator and to …
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This paper studies modules of families of curves and hypersurfaces in an n-dimensional Euclidean domain with two distinguished boundary continua, together with the associated conformal capacity. Using a potential defined from a nonnegative metric and a coarea-type argument, it proves an integral ine…

This paper reports an experimental study of the temporal intensity of stimulated emission in a ruby laser using an optical resonator with aluminum-coated opaque spherical mirrors. By varying the mirror spacing and pump-lamp power, the authors show that regular oscillations occur when the spacing is …
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This note examines the loss of stability of a shallow strictly convex elastic shell subjected to uniform external pressure, with the aim of estimating the critical pressure at which buckling begins. Using assumptions about supercritical deformation, the shell is divided into nearly undeformed, displ…
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This paper develops a geometric framework for the space of mutually absolutely continuous probability distributions on a measurable space. It embeds probability measures in a cone of positive measures, uses Radon-Nikodym derivatives to define tangent and dual structures, and introduces a flat affine…
I. I. YAKOVLEV
This study examines phase equilibria at 25 degrees C in the ternary systems uranyl sulfate, water, BEDPhK and sulfuric acid, water, BEDPhK, as components of a quaternary extraction system relevant to uranium(VI) sulfate solutions. Solubility isotherms were determined by equilibrating aqueous and org…
E. I. NECHIPORUK
This paper studies asymptotic estimates for Shannon functions measuring the minimal weighted complexity of realizing Boolean functions by logical networks, extending known synthesis results beyond finite complete nondegenerate bases. It introduces weighted bases with zero and positive parts and anal…
Academician M. M. DUBININ
This paper examines the molecular sieve behavior of synthetic zeolites A, X, and Y in sodium, potassium, and calcium ion exchange forms, emphasizing that effective window diameters are kinetic quantities governed by activation barriers for molecular penetration. Using structural considerations of cu…
V. L. Tal'roze, V. V. Raznikov, G. D. Tantsyrev
This paper examines whether individual organic compounds can be identified from a minimal set of noncharacteristic mass spectral lines, particularly for use with chromatographic detection. Using about 900 organic mass spectra, the authors analyze intensity ratios in the 36 to 45 a.m.u. region and de…
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The paper studies quadrature formulas for integration on a finite interval when accuracy is controlled by comparing two formulas using partly shared nodes. It defines the cost and algebraic accuracy of individual formulas and pairs, proves a lower bound relating the cost of a pair to its accuracy, a…
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This paper examines whether gas-phase combustion products diffusing from a flame can influence the decomposition rate of a condensed propellant phase, in addition to the commonly considered heat flux from the flame. It argues that, because heat transfer from the flame is accompanied by a diffusive f…
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The paper studies controlled Markov chains on at most countable state spaces with possibly substochastic transition probabilities, focusing on when infinite-horizon expected rewards admit epsilon-optimal homogeneous Markov strategies. It formulates the control problem, establishes a conditioning pro…
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This paper studies fundamental matrices used to represent solutions of homogeneous boundary value problems for general constant coefficient parabolic systems in a half space. Under Petrovskii parabolicity, homogeneity, and an algebraic complementing condition, the argument analyzes the Fourier-Lapla…
Corresponding Member of the Academy of Sciences of the USSR V. L. GINZBURG, L. M. OZERNOI,
This paper examines whether the continuous optical emission of the compact extragalactic object 3C 273-B can be explained by magnetobremsstrahlung, or synchrotron, radiation from relativistic electrons. Using the observed optical spectrum, luminosity, variability size constraint, and minimum-energy …
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This study examines the catalyzed crystallization of lithium aluminosilicate glass close to spodumene composition with titanium dioxide additions of 1 to 10 wt.%. Using electron microscopy of etched fracture replicas after 24 hour gradient furnace treatments from 500 to 1400 °C, the authors compare …
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This paper analyzes resonant secondary light emission by molecules, focusing on the transition between Raman scattering, resonance fluorescence, and intermediate regimes. Combining a refined classical oscillator model with the quantum-mechanical polarizability expression, it relates the character of…
R. S. Maslovskaya, A. B. Taubman, L. P. Yanova
This study examines how the physical state of polymethyl methacrylate and polybutyl methacrylate affects diffusion permeability during radiation degradation. Using the Daynes method, the authors measured carbon dioxide diffusion, permeability, and solubility in unirradiated films and in films irradi…