V. V. RACHINSKII, A. A. LUR’E
This paper derives a generalized precipitation isotherm needed for the theory of precipitation chromatography and dynamic precipitation sorption. Starting from mass balance, stoichiometric relations, and the solubility product rule with activity coefficients, it obtains a functional relation between…
E. R. Velibekov
This paper studies collective excitations in superconductors using Bogolyubov’s generalized self-consistent field equations, extending the analysis beyond the simplest isotropic interaction. The two-particle interaction is expanded in spherical harmonics, which reduces the integral equations for exc…
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This study examines the internal morphology of capron and lavsan synthetic fibers using electron microscopy with neutral phosphotungstic acid as a negative-contrast agent. Mechanically dispersed fibers were compared in uncontrasted form, after gold-palladium shadowing, and after treatment with neutr…
R. Kh. FREIDLINA, A. B. TERENT’EV, R. G. PETROVA
This study examines the radical isomerization of acetophenone diphenylmercaptol under heating in chlorobenzene, chiefly in the presence of tert-butyl peroxide, to clarify how mercaptol structure affects rearrangement. The reaction gave 1,2-bis(phenylthio)ethylbenzene, diphenyl disulfide, and alpha-p…
P. M. ARZHANYI, R. M. VOLKOVA, D. A. PROKOSHKIN
This study investigates the poorly characterized niobium-beryllium system using thermodiffusion alloying, metallography, X-ray diffraction, local X-ray spectral analysis, microhardness measurements, thermal analysis, and heat of formation measurements. Diffusion experiments at 900 to 1300°C and stud…
T. G. GENCHEV
The paper studies a class of ultraparabolic partial differential equations with ellipticity in selected spatial variables and first order dependence on time and additional variables, motivated by problems in probability theory, Brownian motion, and boundary layer theory. Under specified regularity, …
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This note studies simultaneous linear Diophantine approximation for triples of real numbers through inequalities involving two linear forms and an error of order \(1/\sqrt{x}\). Building on Minkowski’s lemma and a refinement attributed to Cassels’ method, it establishes infinite solvability with an …
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This study examines the origin of the long wavelength absorption and coloration of 4-nitrodiphenylalkanes bearing amino or dialkylamino donor groups in the second ring. Absorption spectra in nitrobenzene, aniline, dimethylaniline, and diethylaniline are compared at different concentrations with spec…
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This paper studies local to global questions for rational algebraic surfaces, focusing on analogues of the Minkowski-Hasse principles for curves of genus zero. Using forms of minimal rational surfaces and Galois cohomology of their automorphism groups, it proves that both principles hold for relativ…
Yu. A. ZHDANOV, G. A. KOROL’CHENKO, G. N. DOROFEENKO, G. V. BOGDANOVA
This paper reports the preparation of several new C-glycosides, compounds in which the anomeric carbon of a carbohydrate is joined directly to an aglycone by a carbon to carbon bond. The authors use Grignard reactions of acetohalogeno sugars followed by acetylation or acid-catalyzed deacetylation to…
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This paper examines how paramagnetic centers formed during activation of anthracene and related conjugated compounds affect their ability to inhibit thermal oxidation of paraffinic hydrocarbons. Activated anthracene was fractionated and characterized by solubility, molecular weight, elemental compos…
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This paper reports Pulkovo observations of the polarized radio emission of Cygnus A at a wavelength of 3.02 cm, undertaken to examine the polarization properties of its separate components. Using a radiometer with a parametric amplifier, the authors recorded the Stokes parameters Q and U and derived…
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This paper describes the preparation and reactions of azido derivatives of ferrocene, focusing on ferrocenyl azide and 1,1′-ferrocenylenediazide. The authors show that bromoferrocene and, under more forcing conditions, 1,1′-dibromoferrocene undergo copper-assisted substitution by azide, and they als…
E. A. Ukshe, I. V. Tomskikh
This study examines how the nature of molten salt electrolytes affects the electrocapillary behavior of liquid lead electrodes at 800 to 820 degrees Celsius. Using a quartz capillary electrometer, the authors measured relative changes in surface tension for lead in sodium and potassium chloride and …
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The paper investigates the dissociative ionization of hexafluoropropylene under electron impact and compares the observed fragmentation behavior with expectations based on ordinary bond strengths in the stable molecule. Using mass spectrometric measurements over 10 to 70 eV, the authors determine ap…
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This study examines the reactions of 1,1,5,5-tetraethylmercapto-1,5-diborapentane with ammonia and representative primary and secondary amines. Contrary to expectations based on alkylthioboronic acid esters, ammonia, methylamine, and ethylamine give cyclic 1-aza-2,5-diboracyclohexane derivatives, wh…
Yu. I. USATENKO, V. I. SUPRUNOVICH
A differential amperometric titration method is described for the successive determination of iridium, palladium, iron, and copper using 8-mercaptoquinoline as a single reagent. The approach combines oxidation reduction reactions with precipitation of metal thiooxinates, and the authors examine the …
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The paper studies closed convex hypersurfaces in Euclidean space whose principal radii of curvature satisfy a prescribed monotone symmetric inequality, and asks which pairs can occur as the radii of the smallest circumscribed sphere and largest inscribed sphere. It defines boundary functions through…
S. A. EREMIN, A. F. SHADROV
The paper develops a multiplicative method for constructing complete systems and bases in spaces of analytic functions, with emphasis on products of domains and complete Hartogs domains. It proves that a product system is complete, or is a basis, in the space of functions analytic on a product domai…
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The paper extends the Lax convergence theorem for difference approximations of evolution equations in Banach spaces, addressing limitations concerning consistency requirements and the use of the same space for exact and approximate problems. It formulates finite-difference analogues in quotient norm…
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The paper studies boundary value problems for elliptic equations in domains whose smooth boundary has conical singularities, using weighted Sobolev-type spaces adapted to the distance from the vertex. By reducing the model problem with frozen coefficients on a cone to an operator pencil after the ch…
F. I. Karpelevich
1.** We shall consider the equation
The paper studies oscillation and nonoscillation intervals for linear ordinary differential operators of order n with continuous coefficients, relating these notions to generalized Vallée-Poussin boundary value problems and the sign of the corresponding Green’s function. It introduces conjugate poin…
V. F. DEMICHEV, V. M. STRUNNIKOV
This paper reports experiments on the interaction of dense deuterium plasma bunches with strong magnetic fields, motivated by plasma injection into magnetic traps for controlled thermonuclear research. Using a Marshall-type injector, the authors studied plasma jets entering increasing longitudinal f…
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This study examines the relationship between mutarotation, optical activity, and structure formation in gelatin solutions. Using purified isoelectric gelatin, the authors measured specific optical rotation during cooling and aging, and compared it with gel-melting temperatures used as an indicator o…
In our notes (¹–⁴), criteria were obtained for the stability of solutions of differential equations of the form
This note establishes spectral criteria for boundedness of solutions on the half-axis for linear differential equations with periodic coefficients, a case not covered by earlier criteria for asymptotically constant coefficients. For first-order equations in a complex Banach space, it proves that bou…
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This note studies similar tests for the Behrens-Fisher problem using analytic continuation in a complex parameter. Focusing on statistics depending on the normalized difference of sample means and the ratio of sample standard deviations, it derives an integral similarity condition and continues it t…
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This paper examines whether adsorption on dehydrated silica gels can promote condensation reactions of amino compounds that do not readily occur in the liquid state. Monoethanolamine was adsorbed on silica gels of differing pore structures and dehydrated by heating or storage over a desiccant, after…
N. S. VYAZANKIN, G. A. RAZUVAEV, E. N. GLADYSHEV
This paper reports the synthesis and reactions of bis(triethylgermyl)mercury, presented as the first organogermanium compound of mercury. The compound is obtained by heating triethylgermane with diethylmercury under oxygen-free conditions, giving ethane and a lemon-yellow liquid characterized by mer…
The energy dissipated in the core during its switching process can be determined as
This paper examines how to minimize energy losses during the remagnetization of ferromagnetic cores with nearly rectangular hysteresis loops over a prescribed switching interval. Using dynamic core characteristics that relate the rate of change of induction to field strength, the authors formulate t…
R. F. BILYALOV
The paper studies conformal transformation groups in four-dimensional Riemannian spaces of gravitational-field signature, with the analysis restricted to analytic functions. Using Lie group methods, the conformal Killing equations and their integrability conditions are derived and examined for nontr…
A. A. BOROVKOV
This note studies large deviation asymptotics for boundary crossing probabilities of polygonal trajectories formed by sums of independent identically distributed mean zero random variables, in the regime where the normalization is much larger than the classical square root scale, especially \(x\) ne…
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This study examines the reaction of dialkylphosphorous acids with acetophenone and several alkyl-substituted phenyl alkyl ketones, focusing on the formation and thermal behavior of the resulting organophosphorus esters. Under mild sodium alcoholate conditions, crystalline α-hydroxy-α-phenylalkylphos…
A. V. KISELEV, V. N. NOVIKOVA, Yu. A. EL’TEKOV
This study examines adsorption of high-molecular-weight polydimethylsiloxane from n-hexane solutions on highly dispersed nonporous silica Aerosil samples with different surface treatments, using interferometric concentration measurements to construct adsorption isotherms. Dehydration of the silica s…
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The paper studies the minimization of a nonlinear sum of products of exponential terms with bases between zero and one, subject to row-sum and nonnegativity constraints on a matrix of variables. It introduces characteristic numbers associated with optimal points, proves their uniqueness, and uses th…
A. M. Rubinshtein, K. I. Slovetskaya, T. R. Brueva
This study examines the adsorption of benzene vapor on a chromium, aluminum, potassium catalyst used for paraffin dehydrogenation and dehydrocyclization, in order to compare benzene behavior with earlier observations for cyclohexane and hydrogen. Adsorption isotherms were measured under vacuum from …
V. G. Levich, B. I. Khaikin, B. M. Grafov
This paper develops a theoretical method of Faradaic heterodyning for studying the kinetics of fast electrochemical reactions using the nonlinear properties of an electrochemical cell. Starting from a general second-order expansion of the electrode potential response to alternating Faradaic current,…
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This paper studies a generalized Tricomi boundary value problem for the Lavrent’ev, Bitsadze mixed type equation with variable gluing conditions across the line of type change. The solution is represented in the hyperbolic region through boundary traces, while the elliptic region yields an integral …
Below a number of theorems on properties of the spectra of ergodic dynamical systems are formulated.
This paper formulates spectral results for ergodic measure-preserving dynamical systems satisfying a density condition, Condition A, expressed through fourth-order spectral set functions and interpreted as a multiple-mixing requirement. It shows that, under this condition, the maximal spectral type …
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This paper examines the selection of criteria for synthesizing combined tracking systems with variable structure, focusing on the region in a switching hyperplane where a sliding mode exists for a linear object of order n. The authors formulate the system dynamics with discontinuous right-hand sides…
N. B. MIKHEEV, G. I. SHMANENKOVA
This study examines cocrystallization of ionic compounds from organic solvents, where incomplete dissociation can affect practical cocrystallization coefficients and therefore element separation efficiency. The authors extend existing thermodynamic relations to include degrees of dissociation, then …
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This study examines the formation of mixed tin chalcogenochlorides by direct reaction of tin dichloride with sulfur, selenium, and tellurium, motivated by earlier criteria for oxidation without anion displacement in tin salts. Fusion reactions in sealed ampoules yielded compounds assigned the compos…
ECOLOGY
Academician of the Academy of Sciences of the Moldavian SSR A. V. ABLOV, G. G. STRATAN
This study examines iodine addition products of cobalt(III) dimethylglyoxime complexes in order to clarify whether added iodine is present as lattice iodine or as polyiodide coordinated through an iodide ligand. By reacting iodoaquo, diiodo, iodonitro, and dinitro cobalt dioxime compounds with iodid…
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This paper examines the possible long term fate and energy degradation of stellar, cosmic ray, and relic neutrinos in a universe where known absorption processes are ineffective. Using cosmological redshift arguments and estimates of matter density, expansion, and neutrino production rates, it deriv…
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The paper generalizes a previously developed point group treatment of tensor symmetry to Shubnikov, or magnetic space, groups. It defines tensor functions on the magnetic Euclidean group, gives their transformation law including rotations, inversion, time reversal, and translations, and derives inva…
L. N. Komissarova, Academician Vikt. I. Spitsyn, Wang Gen-shi
This study examines the previously little-studied interaction of hafnium dioxide with trivalent rare-earth oxides, focusing on the synthesis and properties of lanthanum and neodymium hafnates. Mixtures prepared by mechanical grinding of oxides or by coprecipitation of hydroxides were investigated us…
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This note studies remainder terms in limiting distribution problems for two arithmetic functions, Euler’s quotient \(\varphi(n)/n\) and the divisor sum \(t(n)=\sum_{d\mid n}2^{-d}\). Building on known existence of limiting distribution functions, it gives quantitative convergence estimates for the c…
N. S. VYAZANKIN, E. N. GLADYSHEV, G. A. RAZUVAEV
The paper examines homolytic reactions of tetraethylgermane as both a hydrogen donor and a substrate for radical attack, focusing on reactions with benzoyl peroxide, tert-butyl peroxide, and sulfuryl chloride in the presence of benzoyl peroxide. Product isolation and analysis support a free-radical …
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The study examines the mechanism and kinetics of the reaction between 2,6-dimethylol-4-tert-butylphenol and unsaturated elastomers, using carbon-14 labeled phenolic alcohol to measure addition to rubber during heating. Experiments with cis-1,4-polybutadiene and butyl rubber, with and without stannou…