V. N. EGOROV, V. N. KOLESNIKOV, and N. N. SOBOLEV
This paper examines whether the plasma of a low-current direct-current arc between carbon electrodes at atmospheric pressure in inert gases is in thermal equilibrium. The authors measure absolute and relative intensities and radial distributions of selected hydrogen, helium, and neon spectral lines,…
L. N. IVANOVSKII
This note proves P. S. Alexandrov’s conjecture that every bicompact topological group is a dyadic compactum. The argument represents a bicompact group of weight τ as the limit group of a transfinite Pontryagin Li series and constructs compatible special mappings from an inverse spectrum of products …
Yu. S. Sayasov
This paper analyzes equilibrium ionization in systems where thermionic emission from carbon dust particles is significant, with attention to multiple positive and negative charging of the particles. It formulates the charge balance and particle conservation equations for identical grains and express…
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This paper derives a rate expression for collision induced thermal decomposition of diatomic molecules without assuming that vibrational quanta remain approximately constant up to the dissociation limit. The author formulates master equations for transitions between vibrational levels, uses detailed…
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This study examines the reactions of isoamylboron dichloride with ammonia and several amines as alkyl analogues of previously studied phenylboron dichloride chemistry. Isoamylboron dichloride was prepared from esters of isoamylboronic acid and phosphorus pentachloride, then treated under nitrogen wi…
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This paper develops a theory of stationary laminar chain-thermal flame propagation in which both heat and active chain centers are transported from hot reaction zones into colder regions. A simplified chain mechanism is coupled to heat balance and active-center diffusion equations, then reduced thro…
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This paper examines which equations of state permit one-dimensional motions with homogeneous deformation, extending earlier treatments that assumed a perfect gas. Starting from the momentum equation under the deformation condition and considering either adiabatic motion or spatially uniform temperat…
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This paper develops a general treatment of equilibrium ionization for homogeneous particles that may carry positive or negative charges, ranging from atoms to macroscopic particles. Using the law of mass action together with charge and mass conservation, it derives a general ionization equation and …
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This study examines the reduction of normal monoolefinic hydrocarbons by sodium in liquid ammonia using tert-butyl alcohol as a weaker proton donor than methanol or ethanol. A series of alpha, beta, and gamma monoolefins was reduced under controlled conditions, and reaction progress was assessed fro…
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A method is presented for determining absolute oscillator strengths of resonance absorption lines without requiring a vapor column of known concentration, a limitation that affects conventional absorption and hook methods for reactive or difficult-to-evaporate elements. The approach combines simulta…
A. V. TOPCHIEV, E. S. POKROVSKAYA, and T. G. STEPANTSEVA
This paper addresses the limited systematic data available on alkylindanes, hydrocarbons considered relevant to the composition of middle petroleum fractions. Indane, prepared by hydrogenation of indene, was alkylated with propylene, 1-butylene, and trimethylethylene using aluminum chloride or boron…
A. D. Gel'man, A. I. Moskwin
This study investigates oxalate and carbonate complex formation by plutonium(IV) in aqueous solution using solubility measurements, supplemented by radiometric determination of plutonium and absorption spectroscopy for carbonate solutions. Solubility data for plutonium(IV) oxalate in ammonium oxalat…
Corresponding Member of the Academy of Sciences of the USSR Ya. I. Gerasimov, A. A. Vecher, and V. A. Geiderikh
This paper reports electromotive-force measurements used to determine thermodynamic properties of solid Cu-Ni solutions and the activity of iron in Fe-Co alloys. For Cu-Ni alloys, the authors measured cell potentials over 620 to 750°C, derived copper activity, partial heat content, and entropy of mi…
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The paper studies classes of integro-differential equations of convolution type, including paired equations on positive and negative half-lines, with kernels, right-hand sides, and solutions specified by weighted integrability conditions. Using Fourier transform methods and the theory of Riemann bou…
S. E. FRISH and N. A. MATVEEVA
This study investigates the mechanism by which binary mixtures of inert gases separate in a direct-current discharge, focusing on whether separation is primarily due to ion transport toward the cathode or neutral atom motion toward the anode. Gas samples were withdrawn from near-electrode regions of…
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This study examines the kinetics of Donets coal oxidation in aqueous nitric acid, with attention to latent periods, gas evolution, and the suitability of nitric acid for comparing coal oxidizability. Experiments measuring evolved gas show that rapid oxidation begins only after accumulation of small …
M. A. KRIVOGLAZ
This paper develops a thermodynamic fluctuation theory of anomalous magnetic scattering of thermal neutrons near the Curie point of ferromagnets and antiferromagnets. Starting from the Born approximation, it derives expressions for the differential scattering cross section in terms of Fourier compon…
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This note studies harmonic approximation for almost-periodic functions whose Fourier exponents have no finite limit points, relating the deviation of Fourier partial sums to best approximation by entire functions of finite degree. It proves a general inequality bounding the remainder of a Fourier su…
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The paper studies several classes of infinite systems of linear algebraic equations with difference-index convolution terms and finite exceptional rows, including systems modified by finite rotation-group factors. Using Laurent transforms, convolution properties for weighted sequence spaces, and Rie…
A. M. OLEVSKII
This note studies linear summability of sequences by Toeplitz matrices, focusing on relative strength, coverability of countable families and nested chains, and prescribed summation behavior. It proves that zeros can be inserted into certain divergent functional series so that the resulting series i…
PLANT PHYSIOLOGY
We shall confine ourselves here to considering a system of two equations, equivalent to the matrix equation
This paper studies the inverse scattering problem for a two-equation matrix Schrödinger system on the half-axis with a singular tensor term of order x^{-2}, motivated by the deuteron problem with tensor forces. It establishes spectral properties for the associated boundary-value problem, defines the…
A. M. POLOSUEV
This paper studies uniform distribution for multidimensional systems of functions built from linear finite difference equations with integer coefficients and dominant characteristic roots greater than one, including Pisot-type cases. Using a method based on exponential sum estimates, it establishes …
I. M. Vinogradov
Vinogradov announces a new bound for the Riemann zeta function on the line Re s = 1, namely ζ(1+it) = O((log t log log t)^{2/3}) for sufficiently large t. The estimate is derived from a new bound for exponential sums of the form ∑ e^{2πif(x)} with f(x) = −t log x/(2π), under specified size and smoot…
E. A. Shott-Lvova, Corresponding Member of the Academy of Sciences of the USSR Ya. K. Syrkin,
Dipole moments were measured for a series of hemioxanines derived from 3-ethylrhodanine and indandione-1,3 with varying extracyclic nitrogen substituents and polymethine chain lengths. Using the heterodyne method in benzene at 25 degrees, the study compares total and electronic polarizations with ab…
Let there be given the equation
This note establishes a quantitative relation between oscillation and growth for solutions of a uniformly parabolic linear equation in a bounded cylindrical domain. Under boundedness, smoothness, and ellipticity assumptions on the coefficients, it defines the number of sign changes as the number of …
E. E. SEGALOVA, S. I. KONTOROVICH, and P. A. REHBINDER
This study examines the kinetics of supersaturation in aqueous calcium oxide suspensions as a factor in hydration hardening. Using conductometric measurements under controlled temperature and nitrogen atmosphere, the authors analyze the effects of stirring rate, calcium oxide charge, and surface-act…
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This note studies global stability of the zero solution for a three-dimensional autonomous system with constants satisfying positivity and Hurwitz-type inequalities and a continuous nonlinearity obeying a generalized sign condition. Building on earlier sufficient criteria by Tuzov, it proves a neces…
V. V. Khlynov and O. A. Esin
This paper investigates the removal of valuable sulfide and matte inclusions from molten waste slags by applying a direct electric field and using electrocapillary motion of liquid drops. Experiments at about 1400 C measured the motion of nickel sulfide and matte droplets in slags of varying viscosi…
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This note develops a cubical analogue of Postnikov’s theory of homotopy resolvents, intended for use in questions concerning fiber spaces. It defines cubical complexes with face and degeneracy operators, introduces cochains, nonabelian one-dimensional cocycles, and cohomology with local coefficients…
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This study examines how small additions of benzoic acid affect the kinetics of aniline acylation by benzoyl chloride and benzoic anhydride in benzene, with comparison to the deactivating effect of hydrochloric acid salt formation. Kinetic measurements show that benzoic acid increases the reaction ra…
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This study determines the gas-phase molecular structures of beryllium fluoride, chloride, bromide, and iodide, for which geometrical parameters were previously unavailable. Electron diffraction patterns were recorded for purified, degassed halide vapors and interpreted using radial distribution anal…

The paper addresses the negative temperature coefficient observed in hydrocarbon oxidation, where reaction rates pass through a maximum and then decrease before rising again at higher temperatures. Using Semenov’s theory of degenerate branching, it proposes a qualitative and simplified kinetic expla…
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The paper examines how spatially stable striations form in the positive column of a pulsed hydrogen discharge at pressures of 2.8 to 4.5 mm Hg. Using repeated rectangular microsecond current pulses and varying pulse duration, the authors photograph successive stages of discharge development and meas…
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Ammonia vapor adsorption on graphitized channel soot was studied at minus 36.3 degrees C to compare its behavior with the known anomalous adsorption of water vapor on carbon adsorbents. Volumetric measurements on soot calcined in hydrogen at 1700 degrees C showed a completely reversible, initially c…
F. I. FRANKL’
This note treats spatial steady potential flows of a relativistic barotropic gas without friction or heat conduction, using the pseudovelocity potential and the relativistic Bernoulli relation. In Lorentz coordinates the author derives the governing differential equation for the ordinary velocity po…
YIN SHEN-KAN, A. N. PRAVEDNIKOV, and Academician S. S. MEDVEDEV
This paper examines the mechanism by which gamma irradiation produces crosslinks in polymer chains, arguing that simple recombination of independently diffusing polymer radicals or radical addition to double bonds cannot account for the observed constant, intensity-proportional crosslinking rate. Th…
K. S. Minsker and V. S. Etlis
This study examines the chlorination of polypropylenes prepared with two aluminum alkyl, titanium chloride catalytic systems differing in amorphous and isotactic content. Chlorination in chlorobenzene, with and without radical initiators, was followed as a function of chlorine content, and the produ…
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This study examines the polarographic behavior of trivalent antimony in sodium fluoride solutions across pH 1 to 14 in order to identify the complex forms produced. Using half-wave potential measurements at constant fluoride concentration and at constant pH, the authors relate potential shifts to fl…
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This note applies a multidimensional local theorem for large deviations to Pearson’s chi-square statistic for multinomial trials with fixed positive cell probabilities. It derives asymptotic formulas for the tail probability P{chi-square greater than tau squared} as both the number of observations a…
Ch. Foiaș, G. Gussi, and B. Poénaru
This paper studies generalized Cauchy problems for linear and quasilinear differential equations in a Banach space with time-dependent closed operators that may not admit classical solutions for all initial data. The authors construct an enlarged sequence space using invariant idempotent decompositi…
V. S. Ostrovskii, T. A. Amfiteatrova, and B. Ya. Yampol’skii
This paper examines how thin oxide films and adsorption-active aqueous media affect the creep of polycrystalline copper wire under constant load below the yield point. Experiments on annealed electrolytic copper wire compare deformation in air, distilled water, hydrogen- or air-purged water, hydroge…
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This study examines phase transformations in the sodium sulfate and sodium carbonate system using differential thermal, X-ray, and crystal-optical phase analysis on the same melt samples under varying storage conditions. It shows that high-temperature solid solutions formed from the melt undergo pol…
Corresponding Member of the Academy of Sciences of the USSR Vikt. I. Spitsyn, A. V. Lapitskii,
This study examines the role and exchangeability of oxygen in selected hydrated niobates and tantalates, a question connected with competing structural formulas for these salts and the nature of oxygen bonding in their anions. Sodium pentatantalate, sodium hexatantalate, potassium hexaniobate, and p…
G. Ya. Galin
The paper studies one-dimensional adiabatic propagation of disturbances in a half-space medium whose stress depends nonlinearly on deformation and temperature, under a constant compressive stress applied at the boundary. Using Sedov’s dimensional and similarity method, the governing equations, therm…
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This paper examines heat transfer across the visible boundary observed between normal and superfluid liquid helium under a steady heat flux, where experiments showed jumps in temperature and density despite the ordinarily second-order character of the transition. A phenomenological model is develope…
Ya. Shapiro
The paper studies geodesic fields of directions in spaces with affine connection and their relation to included systems of paths and groups of homotheties. It derives necessary and sufficient coordinate conditions for a space to contain several such fields, describes the resulting decomposition into…
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This paper studies the stability and natural oscillations of a thin elastic plate moving at supersonic speed, using linearized aerodynamic theory and small-deflection plate assumptions. The coupled aeroelastic problem is reduced to an integro-differential equation for the plate deflection, reformula…
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This note states solvability results for the Cauchy problem for nonlinear and quasilinear parabolic systems in the sense of Petrovskii. Using fundamental matrices for linear parabolic systems and, for the nonlinear case, reduction to an equivalent quasilinear problem with successive approximations, …
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This paper analyzes steady flow of an ideally conducting liquid past magnetized bodies, where frozen-in magnetic field lines prevent the incident nonmagnetized flow from entering a magnetic cavity adjacent to the body. It formulates the magnetohydrodynamic boundary conditions for a stationary cavity…