A. V. Vannikov, N. A. Bakh
This study examines how iodine alters the electrical properties of radiation-thermally modified polyethylene, whose conductivity, activation energy, and thermoelectric power depend on heat-treatment temperature and spatial polyconjugation. Conductivity and thermoelectric power were measured for samp…
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This paper examines how plasma composition affects the thermal excitation radiation of easily ionizable impurities, particularly the appearance of a second high-temperature maximum in spectral-line intensity as a function of temperature. Starting from an expression for impurity line intensity and th…
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This paper develops a theoretical treatment of the kinetics of electrochemical oxidation and reduction reactions at semiconductor electrodes, extending earlier work on metal electrodes to account for a forbidden band and low carrier concentrations. Using a solvent reorganization model of electron tr…
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The study examines extraction equilibria in the quinary system uranyl nitrate, nitric acid, water, carbon tetrachloride, and a 27.6 wt.% solution of the monobutyl ester of dibutylphosphinic acid in the stratification region at 25 degrees C. Using physicochemical analysis, extraction rays, and determ…
D. S. BYSTROV
This paper examines whether potential energy coefficients used in molecular vibrational spectra can be transferred between polyatomic molecules containing an identical structural group. By comparing force constant matrices with compliance, or influence, coefficient matrices and analyzing their physi…
N. A. GORBOVITSKAYA
The paper studies equivalent transformations of circuits and certain automata built from logical elements, delays, addition modulo 2, constants, and feedback elements realizing periodic summation operators. It first establishes that, for circuits over any complete finite basis of functional elements…
Unknown
The paper describes the ideal structure of the semigroup of endomorphisms of a free algebra in a primitive class of universal algebras. It identifies the complete lattice of left ideals with a lattice of downward closed families of subalgebras generated by no more than the rank of the free algebra, …
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This text is a contents and corrections page for a scientific issue, listing articles across biophysics, biochemistry, botany, plant physiology, plant ecology, physiology, and embryology. The biophysics entry concerns threshold illumination at the eye pupil from a fixed light source as a function of…
A. D. PETROV, E. B. SOKOLOVA, G. P. BAKUNCHIK
This study examines the reactions of methyl esters of ferrocene mono- and dicarboxylic acids with Grignard reagents derived from trimethylchloromethylsilane and trimethyl-gamma-chloropropylsilane. The trimethylsilylmethyl reagent, a structural analogue of neopentylmagnesium chloride, reacted anomalo…
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This note studies general boundary value problems for parabolic systems, first in a half space with constant coefficients and then for systems with variable coefficients and boundary conditions in one spatial coordinate. It reformulates the solvability condition through an auxiliary ordinary differe…
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This study examines how substituents affect the infrared absorption bands characteristic of cyclopentadienyl rings in ferrocene derivatives, focusing on C,H stretching near 3100 cm-1 and ring stretching near 1100 cm-1. Frequencies and integral intensities were measured in carbon tetrachloride soluti…
D. N. SHIGORIN, A. P. SKOLDINOV, T. S. RYABCHIKOVA
This paper proposes a spectroscopic method for estimating the energy of formation of intramolecular hydrogen bonds that generate quasiaromatic six-membered rings in conjugated systems. Using shifts of the O-H stretching vibration in infrared spectra and a calibration constant derived from carboxylic…
A. M. GRISHIN, O. M. TODES
This paper examines the critical condition for thermal self-ignition of reacting systems when heat is removed simultaneously by internal conduction and surface convection. Starting from the nonstationary heat equation with an Arrhenius reaction rate, the authors linearize the problem in the high act…
S. M. NIKOL’SKII
The paper studies a class of functions of several real variables with mixed generalized derivatives satisfying Hölder-type difference estimates in Lp. It proves that every function in this class can be expanded as a series of entire functions of exponential type with coordinatewise degree bounds and…
L. N. SIDOROV, P. A. AKISHIN
A mass spectrometric method is proposed for determining partial vapor pressures and relative molecular ionization cross sections in multicomponent systems from isotherms of complete evaporation. The method relates ion-current integrals to the amounts evaporated by the Knudsen effusion equation, prov…
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This paper examines how the spectral distribution of photoconductivity in chlorophyll a layers depends on layer thickness, with attention to the wavelength dependence of the nonlinearity exponent in the photocurrent response. Thin and thicker chlorophyll a films deposited between platinum electrodes…
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This study examines how low molecular weight substances with differing compatibility affect the mechanical behavior and glass transition of rigid chain cellulose esters, focusing on whether plasticization can occur through changes in supramolecular structure rather than only through molecular mixing…
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This paper studies traces of functions in the fractional differentiability spaces \(L_p^r(E_n)\) on lower-dimensional hyperplanes and relates them to Besov-type spaces \(B_p^s\). Using potential representations, metaharmonic extensions, weighted integral estimates, and inequalities of Hardy, Littlew…
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This study examines photochemical processes in binary solutions of magnesium phthalocyanine and uranyl nitrate hexahydrate in pyridine, acetone, and ethanol under selective irradiation. The authors distinguish an irreversible reaction, attributed to formation of a uranyl phthalocyanine-like complex …
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This note studies recurrent sequences modulo a prime ideal in an algebraic number field, allowing coefficients that are periodic rather than constant. It relates such recurrences to products of companion-type nonsingular matrices over the finite residue field, using properties of the general linear …
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This paper examines whether the spatial distribution of O to B1 stars around the nuclei of O-associations is consistent with continuous star formation, expansion, and later disintegration of stellar associations. Using a previously derived density law for a superposed single-nucleus association, the…
Kh. A. ABDUAZIMOV, Corresponding Member of the USSR Academy of Sciences S. Yu. YUNUSOV
The paper reports the structural elucidation of ungerine, an alkaloid isolated from Ungernia severtzovii, and assigns it to the homolycorine type. Evidence is drawn from elemental composition, infrared and ultraviolet spectra, alkaline opening and acid reclosure of a lactone, reductions to tetrahydr…
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This paper proposes an additive method for estimating activation energies of radical substitution reactions of the form R radical plus R'X, based on treating the activated complex as a sum of bond-energy contributions. The author derives an expression in which the activation energy equals the dissoc…
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This paper studies double quotient spaces of the idèle group of an algebraic group over a number field by realizing them as first cohomology sets of sheaves of local units on the space of finite prime divisors. Using an approximation theorem for connected algebraic groups, it identifies \(H^1\) of t…
A. V. NIKOLAEV, V. L. BOGATYREV, A. I. VULIKH
This paper applies physicochemical analysis to ion-exchange equilibria, treating the ion exchanger as a solid phase of variable composition within a quaternary reciprocal system. The authors experimentally studied the ammonium chloride, hydrochloric acid, UK-2 cation exchanger in hydrogen form, and …
Unknown
This note refines Bernstein-type inequalities for polynomials bounded on an interval by incorporating restrictions on the location of their zeros. Using elementary estimates on products over the zeros, it derives upper and lower bounds relating the maximum modulus of a polynomial on intervals of the…
Unknown
The paper studies motions of a monatomic rarefied gas referred to a homogeneously expanding or compressing coordinate system, extending earlier consideration of macroscopic rest to macroscopic motion. Using the Boltzmann equation and the similarity properties of binary collisions for a power-law int…
V. A. Lavrenko, Academician of the Academy of Sciences of the Ukrainian SSR, and I. N. Frantsevich
The paper investigates the heterogeneous recombination of hydrogen atoms on aluminum in order to clarify how nontransition metal surfaces can catalyze atomic gas recombination. Using the Roginskii and Shekhter differential compensation method, the authors measured recombination rates on high-purity …
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This paper studies gradient methods for finding a local minimum of a nonlinear functional on a real Hilbert space subject to finitely many linear equality constraints. It formulates the constrained steepest descent as a projected gradient differential equation on the constraint plane and proves conv…
A. V. TOPCHIEV, V. P. ALANIYA, M. F. VAGIN
This study examines the synthesis and polymerization behavior of two nitroolefins, nitroisobutylene and cyclohexylidenenitromethane. Nitroisobutylene was prepared through nitroisobutanol dehydration, and its polymerization was tested with several catalysts, of which only benzoyl chloride and benzoyl…
Unknown
This note studies constructive properties of duplexes, represented by rational Cauchy sequences together with regulators of self-convergence, and examines whether minimal regulators can be uniformly obtained. It proves that no algorithm can transform an arbitrary duplex into a minimal regulator for …
Unknown
This paper examines whether freezing solutions can increase the sensitivity of luminescent analytical reactions for inorganic cations with organic reagents. Using spectrofluorimetric measurements at room temperature and liquid nitrogen temperature, the authors studied complexes of lumogallion IREA w…
Unknown
This paper formulates an optimal control variational problem in which the performance functional and endpoint constraints depend not only on initial and terminal states but also on coordinate values at prescribed intermediate times. Using Lagrange multipliers and comparison curves, it derives first-…
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A series of new polyconjugated polymers, including polyacetylenenitrile, substituted polyacetylenes, and a phenylacetylene-acetylenenitrile copolymer, was synthesized and characterized by infrared and EPR spectroscopy. The materials are insoluble dark powders with high thermal stability, show narrow…
S. G. Mikhlin
This note studies the index of systems of multidimensional singular integral equations on manifolds without boundary, under standard smoothness and nonsingularity assumptions on the symbolic matrix. It argues that, when the order of the system exceeds the manifold dimension, computation of the index…
Yu. A. Ovchinnikov, V. T. Ivanov, A. A. Kiryushkin,
This paper examines the “doubling” phenomenon in the cyclization of peptides and depsipeptides, in which cyclic products contain twice the number of residues present in the starting linear molecule. Using cyclization experiments on tri- and tetradepsipeptides, including N-methylated compounds and st…
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This note studies the partially ordered set of matrix norms on the ring of real square matrices of fixed order, ordered by pointwise domination, and asks about the structure of its maximal chains. Using Zorn’s lemma to ensure maximal chains, the argument proves two auxiliary facts: any nonzero pseud…
For the approximate solution of the equation
This paper studies the approximate solution of nonlinear operator equations in Banach spaces by the method of tangent hyperbolas and a related modified iteration that fixes certain derivatives at the initial point. Using the majorant principle, it establishes convergence theorems under assumptions o…
D. S. BYSTROV, B. K. NAZAROV
This study examines how shifts in the carbon nitrogen stretching frequency of benzonitrile can be used to compare the electron acceptor ability of metal halides and carbonium ions. Infrared spectra of benzonitrile complexes and nitrilium salts were measured, and the observed frequency shifts were co…
Corresponding Member of the Academy of Sciences of the USSR N. S. NAMETKIN, V. M. VDOVIN,
This paper reports catalytic routes to the formation of the five-membered silicon carbon heterocycle 1,1-dimethylsilacyclopentane, avoiding the usual reliance on organometallic derivatives of tetramethylene dibromide. The authors show that 1-chloromethyldimethylsilyl-3-trimethylsilylpropane undergoe…
A. L. LIBERMAN, O. V. BRAGIN, G. K. GUR’YANOVA, B. A. KAZANSKII
This study examines the catalytic interconversion of cis and trans 1,2-dimethylcyclopentanes over platinized carbon during attempts to measure hydrogenolysis kinetics of the individual stereoisomers. Using flow experiments in hydrogen, and in selected cases without hydrogen, followed by gas liquid c…
L. A. Blumenfeld
This paper examines whether anomalous ferromagnetic behavior previously observed in nucleic acids and conjugated synthetic polymers can be attributed to ordinary ferromagnetic contaminants. DNA preparations and several organic polymers were prepared or synthesized, then studied by ferromagnetic reso…
Unknown
This paper examines whether abrasion of polymeric materials, especially rubbers, can be interpreted as a surface fatigue process rather than as simple microcutting. It compares the load exponent governing wear by blunt protrusions with the exponent characterizing fatigue failure, using data for rubb…
Unknown
The paper develops a general framework for algorithms that compute information about elements of finite sets, motivated by earlier procedures for simplifying disjunctive normal forms. Elements are equipped with admissible mark vectors representing known predicate values, and algorithms update these …
A. Ya. Lepin
This paper studies a mixed boundary value problem for a first order quasilinear hyperbolic system in a strip, with nonlocal boundary conditions involving time integrals. A finite difference grid scheme is constructed, and under Lipschitz and compatibility assumptions the paper establishes local exis…
Unknown
Filamentous and needle-like single crystals of germanium-silicon solid solutions were grown by vapor transport in sealed evacuated quartz ampoules using bromine as a solvent component. The study describes growth conditions, morphology, crystallographic orientation, and composition assessment by X-ra…
Unknown
This paper studies biharmonic functions in the unit disk satisfying a zero normal derivative condition on the boundary, with emphasis on estimating how far interior values can deviate from their boundary values. It proves general inequalities in terms of the boundary modulus of smoothness or continu…
V. A. Ginsburg, E. S. Vlasova, M. N. Vasil’eva, N. S. Mirzabekova,
Photolysis of hexafluoroazomethane was examined in the presence of compounds containing multiple bonds and in oxygen-containing systems to determine the reactivity of trifluoromethyl and related radical intermediates. Irradiation experiments showed that, among the tested substrates, unsaturated orga…
Unknown
This paper gives criteria for almost everywhere absolute Cesàro summability of multiple Fourier series of functions periodic in several variables. Extending earlier work on absolute convergence and summability, it formulates sufficient conditions involving only separate restrictions in each variable…
Unknown
This note studies boundary value problems for four component vector functions holomorphic in a three dimensional ball, where holomorphicity is defined by an elliptic first order system with matrix differential operator. Using a complex form of the system and expansions in spherical functions, it ana…