Corresponding Member of the Academy of Sciences of the USSR A. N. PUDOVIK, E. M. FAIZULLIN,
This study examines the mechanism and regioselectivity of the addition of phosphorus trichloride and phosphorus acid chlorides to propylene oxide, addressing conflicting earlier interpretations of the reaction products. Experiments with dried reagents, atmospheric moisture, added water, and triethyl…
A. A. GORIN, E. A. GORIN
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This paper gives an abstract characterization of simple projective groups of type PGL(2,K) over fields of nonzero characteristic not equal to 2, within the class of locally finite groups. It introduces 2-infinitely isolated subgroups, approximable elements, and almost regular elements, and proves th…
M. N. Zargaryants, A. A. Kiselev, O. D. Kropotova, L. N. Kurbatov,
This paper reports an experimental method for achieving continuous operation of a GaAs injection laser by cooling the diode with a stream of gaseous helium. The authors discuss thermal constraints on continuous semiconductor laser emission, describe a Zn-diffused GaAs p-n junction diode mounted in a…
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This paper proposes an optical method for studying thermal diffusion in gas mixtures, based on changes in absorption or photoluminescence of molecular vapors when a foreign gas is added in a two-vessel cell with a temperature difference. The author interprets previously observed decreases in lumines…
R. A. Nelepin
This paper proposes a method of sections of parameter space for the exact analytical study of high-order nonlinear automatic systems with a linear part and separate nonlinearities. After reducing the system by a nonsingular linear transformation to canonical coordinates, the argument identifies line…
A. P. Rudenko, D. È. Bodrina, A. A. Balandin, M. F. Rodicheva
This study examines whether carbonaceous deposits formed by propylene polycondensation on silica gel can alkylate benzene, and whether such behavior supports a demethanation stage in carbide formation. Flow experiments at 500 to 900°C compared propylene, benzene, their mixtures, and benzene passed o…
Academician Yu. V. LINNIK
The paper develops an analytic framework for similar randomized tests and unbiased estimation by treating precotests as functions whose expectations vanish on the null hypothesis. For dominated statistical families with holomorphic expectation images, it associates the null hypothesis with a cotest …
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This paper applies the energetic form of multiplet theory to oxidation catalysis, relating catalyst specificity to bond energies between the catalyst and oxygen, hydrogen, and carbon atoms or groups in reacting organic molecules. Using literature activation energies for oxygen isotope exchange, hydr…
V. E. GORDEEV, V. F. KOMOV, Ya. K. TROSHIN
This paper investigates detonation combustion in heterogeneous systems consisting of thin petroleum oil films on tube walls in gaseous oxygen at atmospheric pressure. Using high-speed photographic recording in steel tubes, the authors examine initiation by strong sources and by transfer from a prefo…
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This paper investigates the differing mechanical behavior of freshwater ice under uniaxial tension and compression, using specially prepared specimens and testing apparatus designed to record deformation diagrams. Experiments on columnar, acicular ice show that compressive strength is nearly nine ti…
Yu. A. DMITRIEV
This paper studies absolute stability of discrete pulse automatic control systems with finitely many degrees of freedom and a single scalar nonlinear block, represented by a nonlinear difference equation. Under sector and slope restrictions on the nonlinearity and spectral assumptions on the linear …
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Cycloalkano-2,3-pyrrolidines, including cyclopentano derivatives and perhydroindoles, were synthesized from monocyclic gamma-keto alcohols and gamma-keto halides using formamide and N-substituted formamides under Leuckart reaction conditions. The study proposes a sequence involving reductive aminati…
V. A. Andrunakievich, Yu. M. Ryabukhin
This paper studies generalizations of primary ideals in associative noncommutative rings satisfying the maximal condition for two-sided ideals. It introduces an abstract notion of s-primarity defined through annihilators modulo an ideal, compares it with existing notions such as primary, simple, irr…
B. V. Mill'
This study examines the crystal-chemical limits for forming garnets that contain large cations in dodecahedral, octahedral, and tetrahedral positions. Guided by ionic-radius considerations, stoichiometric oxide and carbonate mixtures were fired in air and selected compositions were also tested hydro…
G. N. Polozhii. EQUATIONS OF MATHEMATICAL PHYSICS.
This review examines G. N. Polozhii’s textbook on equations of mathematical physics, emphasizing its nontraditional organization and its systematic use of Green’s functions, delta-type source functions, potentials, and integral transformations across elliptic, parabolic, and hyperbolic equations. It…
V. S. Imshennik
This paper examines whether Carathéodory’s principle and the associated integrating factor for heat can be applied to thermally inhomogeneous systems, a question linked to claims that such systems possess nonadditive entropy. Using an ideal two-temperature electron-ion plasma as an example, the auth…
S. M. Kogarko, A. G. Lyamin, V. A. Mikhailov
This paper investigates whether combustion in pure acetylene can spontaneously transition to detonation at initial pressures near and below the previously accepted lower limit. Experiments were conducted in long steel tubes using weak spark initiation, thermocouple records of reaction-zone motion, a…
Academician of the Academy of Sciences of the BSSR A. N. SEVCHENKO, K. N. SOLOV'EV,
This paper examines low-temperature fluorescence polarization spectra of porphine, chlorin, and octaethylporphine in frozen glassy solutions, with the aim of testing assignments of electronic-vibrational bands and the symmetry of active normal vibrations in porphyrin molecules. Using monochromatic e…
Academician of the Academy of Sciences of the Uzbek SSR S. V. Starodubtsev, V. M. Knopov, S. L. Pozharov, I. G. Chernov
This paper reports a mass-spectrometric study of ions sampled from the positive column of a hydrogen glow discharge at elevated pressures. Using an anode sampling aperture and carefully cleaned apparatus, the authors detected the usual hydrogen ions together with a mass 5 ion assigned to the molecul…
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This paper examines the reaction of phosphorus pentasulfide with alcohols and phenols in the presence of bases, motivated by the hypothesis that its behavior parallels that of phosphorus pentoxide with hydroxyl compounds. Using triethylamine, potassium hydroxide, or potassium alcoholates, the author…
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This paper studies weighted Sobolev type classes of differentiable functions of several variables in exterior domains, with weights of the form involving a radial factor satisfying an integral growth condition. It proves embedding theorems for these classes, extending earlier results for particular …
A. M. TEZIN
B. D. BABITSKII, V. A. KORMER, M. I. LOBACH, N. N. CHESNOKOVA
This paper examines the role of transition metal pi complexes in the stereospecific polymerization of butadiene, contrasting these systems with coordination anionic catalysts that require metal carbon sigma bonds. Using catalytic systems based on cobalt, nickel, vanadium, molybdenum, and related Lew…
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The paper establishes estimates for Hartogs coefficients of functions of several complex variables that are regular in bounded complete multiple Hartogs domains with coordinate symmetry planes. Using known coefficient estimates for functions in polydiscs, the argument fixes the base variables, appli…
B. A. RYMARENKO
This note studies extremal problems for real entire functions of finite exponential type that are nonnegative on the real axis and integrable, under one or two admissible linear constraints. It proves that, for at most two such constraints, an extremal function minimizing the integral norm exists an…
E. Yu. TONKOV, I. E. PAUKOV
The study investigates the melting curve of high-purity selenium at pressures from 13,500 to 45,500 kg/cm², extending earlier measurements to determine whether behavior analogous to tellurium appears at higher pressure. Experiments were conducted using a six-punch high-pressure apparatus calibrated …
Ya. D. Mamedov
This paper studies limiting Cauchy problems at infinity for first and second order evolution equations in a Hilbert space with time dependent unbounded positive self-adjoint operators and nonlinear potential terms. Using Lyapunov-type energy functionals built from the operator square root and the no…
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This paper formulates the determination of cloud boundaries in lee-side flow over an obstacle as a coupled free-boundary problem, rather than as a post-processing step applied to an everywhere adiabatic motion. It derives governing equations for steady two-dimensional incompressible flow with adiaba…
È. R. Tsekanovskii
The paper develops a framework for generalized extensions of unbounded operators using a Hilbert scale \(H_+ \subseteq H_0 \subseteq H_-\), where \(H_-\) is defined as the space of generalized elements dual to \(H_+\). For bounded operators from \(H_+\) to \(H_-\), it introduces a generalized adjoin…
Yu. M. Gershenzon, Academician of the Academy of Sciences of the Armenian SSR A. B. Nalbandyan,
This study applies electron paramagnetic resonance radiospectroscopy to a rarefied hydrogen sulfide flame in order to identify transient atoms and radicals relevant to the still uncertain oxidation mechanism of hydrogen sulfide. Using heated resonator and reactor arrangements that allowed the flame …
V. I. Zdanovich, Z. N. Parnes, D. N. Kursanov
This study examines whether substituent effects are transmitted with equal efficiency in cis and trans cinnamic acids. Dissociation constants of substituted cis and trans cinnamic acids, and of corresponding benzoic acids, were measured potentiometrically in 49% ethanol at 25 °C and analyzed using H…
M. A. Taitslin
This note studies decision problems for elementary first-order theories of finite-dimensional Lie algebras in the language with addition and multiplication. Using structural facts about complex simple Lie algebras, root decompositions, and an effective interpretation of finite structures with two eq…
A. N. Filatov
This paper extends the Bogolyubov averaging method from ordinary differential equations to systems of integro-differential equations with a small parameter and memory integral. Under boundedness, Lipschitz, and uniform averaging assumptions on the functions defining the system, it constructs an aver…
V. N. Tsvetkov
The paper examines how the optical anisotropy of semirigid chain molecules depends on chain flexibility and molecular weight, with implications for interpreting flow birefringence in polymer solutions. Using Langevin chain statistics together with Porod’s expression for the end-to-end distance of a …
Yu. V. Novozhilov, I. A. Terent'ev
This paper examines an extension of the Poincare group based on the nonuniform group P(SU6), proposed as a framework in which space-time and internal symmetry variables are treated jointly rather than as a direct product. The authors derive the commutation structure, construct the determinant invari…
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This paper studies regularity of generalized solutions to second order degenerate elliptic boundary value problems of Fichera type and to degenerate parabolic Cauchy problems. Using elliptic regularization, Bernstein type gradient estimates, Schauder estimates, and an auxiliary inequality for nonneg…
V. A. Kargin, N. F. Bakeev, S. Kh. Fakirov, N. I. Nikanorova
This study examines whether supramolecular ordering in solutions of crystallizing polymers affects crystallization kinetics, using the induction period as an indicator of solution structure. A depolarized light method with crossed polarizers was applied to dilute fractionated linear polyethylene sol…
Academician S. L. SOBOLEV
The paper studies optimal mechanical cubature formulas whose nodes lie on regular lattices, focusing on the norm of the error functional in the dual Sobolev space \(L_2^{(m)*}\). Using Babushka’s characterization of optimal coefficients, discrete polyharmonic potentials, Green’s formula, and density…
N. V. Azbelev, Z. B. Tsalyuk
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V. N. Klykov, E. N. Zvonkova, G. G. Zapisochnaya, I. K. Sarycheva,
This paper reports synthetic approaches to the glyceride basis of vegetable oils and animal fats, focusing on higher fatty acids and triglyceride mixtures that reproduce natural lipid compositions. The authors describe syntheses of saturated and unsaturated fatty acids, preparation of more than 80 t…
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The paper addresses operability checking and fault diagnosis for finite automata with memory when the class of possible faulty modifications need not be exclusive, minimal, or strongly connected. It formalizes compatibility, essential faults, and distinguishability in terms of like-named and equival…
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The paper examines the applicability of Zhurkov’s fluctuation theory of strength to the long-term rupture of highly elastic polymers, where rubber lifetime under tension can show a complex, nonmonotonic dependence on deformation. It argues that the stress-concentration parameter should be treated as…
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This paper examines how Coulomb interactions affect the spectrum of free charge carriers in an idealized thin semiconductor film. The film is modeled as a plane dielectric layer with an electron gas confined by an infinite one-dimensional potential well, and the limiting case of a very thin, degener…
D. N. SHIGORIN, V. K. POTAPOV
This paper examines the role of electronic n to pi* transitions in ionization and fragmentation processes of molecules containing carbonyl chromophores, with particular attention to anthraquinone and fluorenone. Ionization curves and ion appearance potentials were measured by electron impact mass sp…
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This paper examines how spatially nonuniform plasma flow affects instabilities at plasma boundaries and in current-carrying jets moving across magnetic fields. Using linear perturbation analysis, it derives dispersion relations for fluting instability at a plane plasma boundary with a velocity gradi…
Academician A. N. NESMEYANOV, E. I. FEDIN, P. V. PETROVSKII,
High-resolution proton NMR is applied to mono- and dicyclopentadienyl titanium derivatives to examine how substituents on titanium affect the nature of the titanium, cyclopentadienyl bond. The study compares chemical shifts for ring and alkoxy protons across chloro, alkoxy, acyloxy, and substituted …
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This note presents an elementary method for separating variables in equations of many variables by transforming an equation into an equivalent form with functions of disjoint groups of variables. Under assumptions of solvability with respect to individual variables and monotonicity allowing an inver…
A. N. Nesmeyanov, V. A. Sazonova, V. N. Drozd
The study examines the substitution of bromine in bromoferrocene by aromatic and heterocyclic groups through reactions with organomagnesium compounds in the presence of cuprous bromide and copper. Under nitrogen and heating after removal of ether, aryl and heteroaryl Grignard reagents gave phenylfer…