V. I. LITVINENKO
This study examines two flavonoid pigments isolated from the roots and rhizomes of licorice, Glycyrrhiza glabra L., designated L-7 and L-8. Using chromatographic isolation, physicochemical characterization, spectral analysis, enzymatic hydrolysis, molecular rotation comparisons, and ultraviolet irra…
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This paper studies a one-dimensional mixed initial boundary value problem for a Kovalevskaya-type hyperbolic system of order p with matrix coefficients. It formulates smoothness assumptions, a strict hyperbolicity condition expressed through the real, distinct, nonzero roots of the characteristic ma…
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The paper develops an application of the Schauder-Tikhonov fixed-point theorem to bounded operators on a Hilbert space equipped with an indefinite metric. It proves that, under positivity and compactness assumptions on the off-diagonal part of an operator, there exists an invariant maximal nonnegati…
I. Sh. Vashakidze, G. A. Chilashvili
The paper studies the binding energy of hypertritium using a nonlocal factorizable interaction model for the three-body system. Assuming Gell-Mann global symmetry, the authors relate hyperon-nucleon potentials to nucleon-nucleon parameters and formulate coupled integral equations that include possib…
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This study examines whether electrochemical additive dimerization involving methyl radicals and 1,3-butadiene proceeds homogeneously in solution or through interaction with acceptor molecules adsorbed on a platinum anode. The authors measured polarization behavior and double-layer capacitance from p…
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The paper proposes a method for proving existence and constructing solutions to free-boundary filtration problems in earth dams, including cases with infiltration or evaporation on the free surface and seepage face. By transforming the Cauchy-Riemann equations and boundary conditions into a linear e…
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This study examines the modification of polyarylates, high heat resistant aromatic polyesters whose poor solubility and limited elasticity can hinder processing. Mixed block polyarylates were synthesized by polycondensation of aromatic dicarboxylic acid chlorides and diatomic phenols with hydroxyl t…
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The paper studies singular integral equations with shift on a finite union of closed Lyapunov contours, where the shift is a direction-preserving homeomorphism of finite order and the coefficients satisfy Hölder conditions. It defines a normality condition, an index, and an adjoint operator, then re…
A. M. Ermolaev, G. B. Sochilin
This paper develops a variational approach for the nonrelativistic ground states of two-electron atoms and ions that explicitly incorporates the singular behavior of the wave equation near particle collisions, following Fock’s expansion. The authors construct trial functions with logarithmic and pol…
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This paper examines how changing solvent power with a nonsolvent affects the physico-mechanical properties of concentrated polymer solutions. Using a copolymer of acrylonitrile with methyl acrylate in propylene carbonate mixed with varying amounts of dibutyl phthalate, the study measures glass-trans…
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The paper studies the synthesis complexity of contact circuits that remain functionally correct when a fault source causes openings of contacts, a case left open in earlier work on self-correcting circuits for short circuits. Using a modification of Lupanov’s circuit construction, the argument parti…
I. A. Revel’skii, R. I. Borodulina, T. M. Sovakova, V. G. Klimova
This paper presents a rapid gas chromatographic method for determining the number of carbon and hydrogen atoms in molecules of gaseous compounds, including low-boiling and halogen-containing substances for which conventional elemental analysis is difficult. The method uses sequential chromatographic…
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The paper studies matrix inequalities that arise when Lyapunov methods are applied to absolute stability problems for nonlinear control systems of Lurie type. It derives frequency-domain necessary and sufficient conditions for the existence of quadratic-integral Lyapunov functions ensuring negativit…
E. S. Balenkova, A. Yu. Alybina, T. I. Avdeeva, S. I. Khromov,
Cyclododecane was examined as a boundary case between medium and large cyclanes to determine whether it follows the catalytic transformation patterns previously observed for eight- to ten-membered rings. The authors synthesized cyclododecane, passed it over 5% platinized carbon at 300 degrees in hyd…
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This paper develops a variational method for the first boundary-value problem for self-adjoint elliptic equations in unbounded domains, focusing on the half-space and avoiding prior summability restrictions on the boundary data. The argument replaces ordinary lower boundedness of the quadratic funct…
V. P. BALAKHNIN, Yu. M. GERSHENZON, Academician V. N. KONDRAT’EV,
This paper reports electron paramagnetic resonance detection of free hydroxyl radicals in a rarefied hydrogen, oxygen flame, motivated by the role of OH, H, and O atoms in chain branching and propagation. A quartz reactor and resonator arrangement was used to place active centers in the microwave el…
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This note examines the possible role of magnetic fields during the gravitational collapse of massive protostars, motivated by attempts to explain quasi-stellar radio sources and radio galaxies without modifying general relativity. Using flux conservation and order-of-magnitude estimates, it argues t…
V. I. Tupikov, S. Ya. Pshezhetskii
This study examines whether light-induced migration of free valence, previously observed in stabilized polymer radicals, also occurs in radicals formed in ordinary olefin molecules. The authors generated radicals in several n-olefins by gamma irradiation at liquid nitrogen temperature, exposed the s…
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This paper classifies finite nonsolvable groups in which every second maximal subgroup has an invariant 2-complement, using recent structural results on groups of odd order, groups with dihedral Sylow 2-subgroups, and minimal simple groups. The main theorem shows that such groups are precisely certa…
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E. N. KROPACHEVA
This paper examines the polymerization and copolymerization of cis and trans piperylene with butadiene under coordination catalytic systems based on organoaluminum compounds with cobalt or titanium chlorides. Using chromatographic isomer analysis, labeled butadiene, glass-transition data, and crysta…
F. A. BEREZIN
This paper studies operators in Fock space represented in normal form by creation and annihilation operator distributions satisfying Bose or Fermi canonical relations. It proves that every bounded operator admits such a normal representation, relates this representation to matrix kernels through ass…
Table 1
This paper reports a single-crystal X-ray determination of the structure of potassium fluoroberyllate, K2BeF4, used as a lightened structural analogue of the cement silicate Ba2SiO4, whose small crystal size had hindered direct study. Rotation photographs and zero-layer scans with Mo K alpha radiati…
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The study examines the mechanism of cyclohexane dehydrogenation over holmium oxide, with particular attention to whether benzene is formed directly from cyclohexane or consecutively through cyclohexene. Mixtures of cyclohexane and radiocarbon-labeled cyclohexene were passed over holmium oxide at 560…
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This paper examines how internal friction in single-crystal ferroelectrics depends on deformation amplitude, with particular attention to the role of domain structure. Using freely decaying compression and extension vibrations of bar resonators, the authors measured the logarithmic damping decrement…
Yu. A. SERTUCHEV, Academician of the Academy of Sciences of the Ukrainian SSR E. A. SHILOV
This study examines the strong solvent dependence and homogeneous catalysis of heterolytic chlorine addition to unsaturated compounds such as allyl chloride, tolane, and beta-chloroallyl chloride. Kinetic measurements in aprotic and proton-donor media show that chlorine addition is initiated or acce…
S. M. ZHIVUKHIN, V. V. KIREEV, N. V. AULOVA, L. T. GERASIMENKO
This study examines the reaction of phosphonitrile chloride trimer with resorcinol and hydroquinone in a 1:1 molar ratio under varying solvent, temperature, and tertiary amine conditions. Reaction progress was followed by hydrogen chloride determination, while products were characterized by elementa…
Academician of the Academy of Sciences of the Ukrainian SSR A. P. Komar, E. D. Makhnovsky
This study examines low-energy charged particles produced in the photodisintegration of lithium-6 irradiated with bremsstrahlung photons up to 35 MeV. Using thick nuclear emulsions in a magnetic-field chamber, the authors identify deuterons, tritons, and protons from track ranges and magnetic deflec…
S. P. GUBIN, K. I. GRANDBERG, E. G. PEREVALOVA, Academician A. N. NESMEYANOV
This study examines transannular electronic effects in the ferrocene nucleus through potentiometric determination of dissociation constants for heteroannularly substituted ferrocenecarboxylic acids in aqueous ethanol. Correlation of the acid strengths with substituent constants, together with eviden…
Corresponding Member of the Academy of Sciences of the USSR N. K. KOCHETKOV, É. I. BUDOVSKII,
This study examines whether nucleoside diphosphate sugars, particularly uridine diphosphate glucose and synthetic analogs, possess a fixed secondary structure stabilized by intramolecular hydrogen bonds. The authors compare the kinetics of catalytic hydrogenation over rhodium on alumina for nucleosi…
A. V. Finkelshtein, Z. M. Kuzmina
This study examines how the nature and position of substituents in nitrobenzene derivatives affect catalytic reduction of the nitro group over skeletal nickel. Nitrobenzene and several ortho, meta, and para substituted derivatives were hydrogenated in ethanol at 20 degrees Celsius and atmospheric hy…
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The paper develops orthonormal systems of analytic functions for finitely connected plane domains containing infinity, with analytic Jordan boundary components. It proves existence and uniqueness of a Taylor system and an associated Laurent system, establishes boundary orthogonality and asymptotic g…
Z. A. SOLOV'EVA, A. T. VAGRAMYAN
This paper examines how the surface state of a chromium cathode affects competing electrochemical reactions in chromic acid electrolytes. Using potential oscillograms, product observations, and controlled changes such as pre-immersion, variation of trivalent chromium and sulfuric acid content, and m…
Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROVICH
The paper develops a theoretical treatment of photoconductivity in thin semiconductor layers under high illumination, where quasineutral bipolar diffusion applies and recombination occurs both through local centers and directly between bands. By reducing the governing diffusion and recombination equ…
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This note develops a closed-form treatment of the Riemann-Hilbert boundary-value problem with discontinuous coefficients for the exterior of finitely many cuts lying on a straight line, with an analogous extension to arcs of a circle. The problem is reduced to a Riemann boundary-value problem for tw…
A. D. SYTINSKII
This paper examines a proposed mechanism linking solar activity, atmospheric circulation, variations in the Earth’s angular velocity, and seismic phenomena. Building on earlier statistical work, it argues that corpuscular solar streams may alter planetary atmospheric processes, thereby changing atmo…
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This paper studies boundary value problems for two variable differential operators whose principal part is nonhomogeneous, focusing on the binomial operator consisting of an mth derivative in time and an nth derivative in space with lower order perturbations. The roots of the characteristic equation…
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This paper addresses a remaining unresolved case in Lyapunov’s analysis of stability for differential systems in the doubtful case of two zero roots with a nonsimple elementary divisor. The system is reduced by a small-parameter transformation to equations with periodic coefficients, and the argumen…
V. T. KALINNIKOV, V. V. ZELENTSOV, M. N. VOLKOV, S. M. SHOSTAKOVSKII
This paper examines infrared absorption spectra of vanadyl carboxylates, including formate, benzoate, iodobenzoate, acetate homologs, and chloroacetate derivatives, in relation to their structural and magnetic properties. Comparing antisymmetric carboxylate stretching frequencies and vanadyl stretch…
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This paper examines the reactions of diacetyl with selected etheramides of phosphorous acid and with diethyl chlorophosphite, extending earlier work on additions of trivalent phosphorus esters to conjugated systems. The authors synthesize and characterize the resulting products by elemental analysis…
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This study examines the formation of colored iodine complexes in aqueous systems containing iodine, boric acid, polyvinyl alcohol, and, in some experiments, potassium iodide. Using room temperature spectrophotometry over 220 to 800 mµ, the authors compare absorption spectra as boric acid and polymer…
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This paper proves a quantitative stability result for Liebmann’s rigidity theorem for the sphere. For a convex n-dimensional surface whose Gaussian curvature satisfies 1 minus epsilon less than or equal to K less than or equal to 1 plus epsilon, the author establishes linear estimates for the radius…
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The paper studies projections of semilattices, understood as isomorphisms between the lattices of their subsemilattices, and formulates analogues of classification and rigidity problems known for groups, semigroups, and modules. It introduces weak isomorphisms, homogeneous completely isolated subsem…
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A vacuum spark mass spectrometric method is examined for determining oxygen in titanium, where conventional vacuum fusion is limited by sorption and incomplete extraction. The authors propose using titanium oxide cluster lines, especially the TiO line at mass 64, rather than the atomic oxygen line, …
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The paper studies sharp growth estimates for entire functions of finite exponential type that are bounded by different constants on the negative and positive real semi-axes. Using a Phragmén, Lindelöf argument in the half-planes, it proves that if \(|f(x)| \leq A\) for \(x0\), then \(|f(re^{i\varphi…
Corresponding Member of the Academy of Sciences of the USSR K. I. Shchelkin
This paper examines high-frequency pulsations during the combustion of solid fuel in a cylindrical grain cavity, focusing on the coupling between acoustic oscillations in the gas and elastic surface waves in the solid propellant. It develops frequency-matching conditions for gas acoustic modes and s…
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This paper presents an algorithm for Chebyshev approximation of a continuous function by a linear polynomial in prescribed continuous functions when the coefficients may be subject to continuously specified convex constraints. The problem is reduced, by introducing an auxiliary variable, to a linear…
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This study examines the reactivity of the Si-C bond in the silicacyclobutane ring and explores substitution reactions of 1-chloro-1-methylsilicacyclobutane as routes to new derivatives. Using 1,1-dimethylsilicacyclobutane, the authors test reactions with hydrochloric acid, hydrogen chloride, water, …
L. Kh. Freidlin, E. F. Litvin, V. M. Chursina
This study examines the stepwise catalytic reduction of beta-nitrostyrene on palladium black in a strongly acidic acetic acid and sulfuric acid medium, a reaction relevant to the synthesis of phenethylamines and related nitrogen compounds. Using polarographic analysis for nitrostyrene, oxime, and ni…
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This note studies trigonometric sums associated with recurrent sequences modulo a prime ideal in a number field, where the recurrence has periodic nonconstant coefficients. Under hypotheses that the characteristic roots are distinct and have a common order exceeding a specified bound, it gives estim…