Corresponding Member of the Academy of Sciences of the USSR G. A. Razuvaev, V. N. Latyaeva,
This paper investigates the formation and decomposition of covalent phenyl derivatives of titanium, motivated by earlier unsuccessful attempts and by evidence for transient organotitanium species in catalytic systems. Reactions of titanium tetrachloride with diphenylmercury and phenyllithium were ex…
V. N. STRAKHOV
A numerical method is proposed for solving linear Fredholm integral equations of the first kind with convolution kernels, under the assumption that the solution exists and the relevant functions are integrable. The approximate solution is represented as a finite linear combination of shifted values …
A. N. KIRGINTSEV, A. V. LUK’YANOV
This paper examines the activities of lithium, potassium, rubidium, cesium, and ammonium chlorides in aqueous sodium chloride solutions under isopiestic conditions at 25 degrees Celsius. Using the McKay and Perring differential equation, the authors relate salt activities to the dependence of total …
I. M. Gverdtsiteli, T. P. Guntsadze,
This study examines the addition of triethylgermane to several tertiary vinyl ethynyl carbinols in the presence of Speier’s catalyst and the subsequent dehydration of the resulting diene germanium-containing carbinols. Dimethyl, methylethyl, tetramethylene, and pentamethylene substrates were convert…
Unknown
The paper studies quasiprojective classes of models, defined as abstract classes closed under ultraproducts, and develops general closure and compactness properties for such classes. It proves that membership on an ultrafilter-large set is preserved in ultraproducts, derives a finite-intersection co…
D. S. Lebedev, L. B. Levitin
This paper examines fundamental limits on the information that can be transmitted by an electromagnetic field with finite average power in the presence of thermal radiation. Using thermodynamic reasoning based on Brillouin’s negentropic principle, the authors derive the capacity of a one-dimensional…
D. F. KALINICHENKO
The paper introduces the Hilbert space K^m_Lambda(Omega), a subspace of weighted Sobolev spaces adapted to boundary constraints expressed through boundary functionals. It proves a key inequality controlling lower order norms by weighted highest derivatives and boundary integrals, establishes complet…
N. A. BALASHOVA, St. RASHKOV
This study examines how the acidity of cobalt sulfate electrolytes affects the microstructure, adsorption behavior, and self-dissolution of electrolytic cobalt deposits. Cobalt was deposited at pH 1.5 to 5.1 under controlled conditions, then characterized by microphotography, dissolution in sulfuric…
Unknown
This paper examines whether measurements of vibrational relaxation can be used to determine intermolecular repulsive forces in oxygen at energies higher than those directly accessible in many scattering experiments. Using shock tube measurements of highly purified oxygen over 1200 to 6600 K, the aut…
Academician of the Academy of Sciences of the BSSR N. N. SIROTA, A. U. SHELEG
This paper determines the diamagnetic and paramagnetic components of the magnetic susceptibility of diamond, silicon, germanium, and gray tin from X-ray diffraction data on electron-density distributions in their sp3-bonded lattices. The authors calculate Langevin diamagnetic terms, polarizabilities…
B. A. IVANOV, S. M. KOGARKO
This study investigates the normal flame velocity of pure acetylene decomposition as a function of initial pressure at 18 to 20°C over 2.5 to 5.0 atm. Using a large receiver to minimize pressure rise, photographic recording to measure visible flame speed, and ionization probes to reconstruct the fla…
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This study examines how the mechanical properties of KU-2 sulfonated cation-exchange resin grains influence the sorption of methylene blue ions and the formation of pseudoequilibrium states. The authors measured reversible deformation under load for resins containing 2% and 6% divinylbenzene at diff…
I. P. SKIBIDA, Z. K. MAIZUS, N. M. EMANUEL
The paper examines the chain formation and chain consumption of alcohols during liquid-phase oxidation of n-decane, focusing on the activation energies of the elementary reactions involving peroxy radicals, hydroperoxides, and alcohols. Using an open-flow oxidation system, the authors compare steady…
G. V. KARPUKHINA, Z. K. MAIZUS, Corresponding Member of the USSR Academy of Sciences N. M. EMANUEL’
This study examines the nonadditive action of amine and phenolic inhibitors during the initiated oxidation of ethylbenzene at 70°C, a model unbranched chain oxidation system. By following inhibitor concentrations spectrophotometrically and measuring rate constants for reaction with peroxy radicals b…
Unknown
This biophysics paper concerns the threshold illumination on the eye pupil produced by a fixed light source and its dependence on background brightness at different retinal points. From the available translated text, the work is identifiable as an experimental or theoretical study of visual sensitiv…
L. T. Bugaenko, Huang Guan-lin, N. A. Bakh
This study examines the radiolysis of aqueous sulfuric acid over a concentration range of 0.4 to 18 M, separating direct radiation effects on sulfuric acid from indirect effects mediated by water radiolysis products. Solutions containing ferrous ions were irradiated with x-rays and cobalt-60 gamma r…
Unknown
This paper studies recurrence, periodicity, Poisson stability, and transitivity for semigroups of multivalued mappings on uniform separated spaces, a setting intended to include dynamical systems without uniqueness. It introduces several recurrence conditions and periodicity conditions for points, a…
V. P. MYAKISHEV
The paper studies primitive integral solutions of a cubic Diophantine equation defined by a determinant in four variables. It gives an explicit parametrization of all such solutions by three coprime integer parameters through four cubic forms, with a common divisor factor, and relates the constructi…
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This note proposes a formulation of finite automata using analysis over the space of p-adic numbers, interpreting input, output, and state sequences as p-adic quantities and automaton behavior as p-adic functions. It defines p-adic logical and automaton functions, represents Mealy and Moore automata…
Unknown
This paper develops a method for deriving self-adjoint equilibrium equations for thin elastic shells of arbitrary configuration, addressing difficulties in extending earlier Love, Timoshenko, and Vlasov formulations to general shells with body forces. The approach starts from the three-dimensional e…
Unknown
This paper develops a group integral approach to electromagnetic wave scattering by statistical ensembles in which both ordinary pair interactions and electrodynamic multiple scattering must be accounted for. Starting from the canonical ensemble expression for the scattered light density matrix, the…
Unknown
Assuming the continuum hypothesis, the paper studies the Čech remainder of the natural numbers, identified with the Boolean algebra of subsets of the integers modulo finite sets, as a universal bicompact space of weight \(\aleph\). It gives a topological characterization of this remainder as the uni…
B. N. RYBAKOV, N. V. NIKOLAEVA-FEDOROVICH
This study examines the cathodic reduction of the singly charged permanganate anion at a dropping mercury electrode, focusing on the origin of the current minimum observed at negative surface charges. Polarization curves, drop-growth current measurements, and differential capacitance measurements we…
Unknown
This note studies deformations of compact complex structures, with particular attention to when members of a complex analytic family are algebraic. Using Kodaira’s criterion via Hodge metrics, it shows locally that algebraic fibers occur along analytic subvarieties of codimension bounded by the dime…
Unknown
This note studies norm estimates for linear operators acting on classes of entire functions of finite degree in several variables, with particular attention to relations between uniform and Lebesgue norms. Using integral representations of entire functions of exponential type and shift invariance as…
Corresponding Member of the Academy of Sciences of the USSR V. V. Korshak, T. M. Frunze, V. V. Kurashev, A. A. Izynéev
This study examines the formation of polybenzimidazoles through the polycondensation of 3,3′-diaminobenzidine with diphenyl sebacinate, with attention to reaction temperature, time, pressure, reagent imbalance, and monofunctional additives. The authors characterize the resulting polymers by solution…
Unknown
The paper analyzes the saturation of ion sound oscillations excited in a plasma by an electron current when the electron drift velocity exceeds the ion sound speed. Using nonlinear kinetic equations for the spectral function of the electric potential, it argues that a one-dimensional treatment is in…
T. N. DYMOVA, N. G. ELISEEVA, M. S. SELIVOKHINA
This study examines the thermal stability and decomposition behavior of high purity sodium aluminum hydride, information needed for preparing alkali metal aluminum hydrides and for interpreting reactions involving them. Sodium aluminum hydride prepared by a modified Klassen method was analyzed by di…
V. M. SHALOV
This note generalizes the Friedrichs space used in variational treatments of operator equations in Hilbert space. It considers pairs of distributive operators A and B, introduces the notions of B-symmetry and B-positivity, and defines corresponding extensions in the senses of Friedrichs and Sobolev.…
Unknown
This note examines whether experimental measurements of the energy spectrum, structure constant, and skewness in locally isotropic turbulence can be reconciled across different flows and Reynolds numbers. Using Kolmogorov’s relations among the inertial-range spectral constant, second-order structure…
Unknown
This paper presents numerical calculations of the motion and diffusion of enlarged charged particles of different signs and masses in magnetic bottle fields, extending an earlier model for particles of one sign. The equations of motion include external magnetic fields and Coulomb interaction terms, …
Unknown
The paper develops a class of differential equations with compact convex multivalued right-hand sides that may be discontinuous in time, motivated by optimal control problems where optimal controls can be discontinuous on sets of positive measure. It formulates measurability and semicontinuity condi…
Unknown
The paper examines how multiple scattering in the optically thick, turbid atmosphere and cloud layer of Venus affects optical observations and the interpretation of spectroscopic and photometric data. Using approximate radiative transfer relations for different absorption regimes, it argues that abs…
Unknown
This paper develops a linear hydrodynamic treatment of orographic cloudiness produced by airflow over surface irregularities, with attention to differences between stable and unstable atmospheric stratification. Starting from a simplified equation for the vertical momentum perturbation and prescribe…
I. M. Imyanitov, G. L. Gdalevich, Ya. M. Shvarts
This paper examines measurements of electrostatic field strength at the surface of a stabilized geophysical rocket launched by the USSR Academy of Sciences on 15 November 1961. Using a modified electrostatic fluxmeter with diametrically opposed sensors, mesh generator plates, interference suppressio…
Corresponding Member of the USSR Academy of Sciences D. V. SHIRKOV
This paper examines whether Regge asymptotic behavior of elastic scattering amplitudes can be derived consistently by the renormalization group in quantum field theory. It argues that renormalization group equations should be applied to the real spectral densities in analytic representations, such a…
Unknown
This study examines the steroid-transforming activity of Bacillus megatherium strain VNIHFI-1 toward 16alpha,17alpha-oxidoprogesterone, a substrate lacking the 21-acetoxy group previously studied with this organism. Incubation with a growing culture produced a major transformation product that was i…
Unknown
This paper studies representations of the elementary abelian group of order p squared over a field of characteristic p, with p not equal to 2. It argues that, unlike the cyclic case and the known case of the group of order 4 in characteristic 2, classifying these representations by normal forms is a…
Unknown
This note studies inequalities bounding the \(L_q\) norm of a mixed partial derivative of a smooth function of several variables by a finite sum of \(L_p\) norms of other mixed derivatives on a rectangular parallelepiped. Using a geometric formulation in terms of integer multi-indices as points in E…
Unknown
This study examines radiation-induced polymerization of tetrafluoroethylene in the solid state, a process previously less characterized than gas- and liquid-phase polymerization. Purified, deoxygenated monomer was irradiated at low temperatures with gamma rays and fast electrons, and polymer yields,…
Unknown
This paper proposes a general methodological framework for navigation based on the theory of space, time, and gravitation. It defines navigational information as information about the relative coordinates of bodies in a four-dimensional space-time manifold, and argues that navigation signals, spaces…
Unknown
This paper studies the completeness of classical orthogonal systems in Sobolev-type spaces whose norms include square integrals of functions and their derivatives, a property needed in direct methods for differential equations. It proves completeness of Laguerre functions on the half-line and Jacobi…
Unknown
The paper analyzes the spectral composition of depolarized Rayleigh scattering in liquids, focusing on anisotropy fluctuations not fully accounted for by earlier relaxation theories based on strain fluctuations. It derives intensity distributions for rotational Brownian diffusion of linear molecules…
Unknown
This study examines interactions of uranium oxides with vanadium and niobium oxides using thermal analysis, X-ray phase analysis, infrared spectroscopy, and limited single-crystal methods. Hydrous uranyl vanadates were found to form broad homogeneity regions, and heating or reduction produced severa…
Unknown
This note addresses the effective reconstruction of a Sturm-Liouville equation on a finite interval from two spectra corresponding to the same left boundary condition and two different right boundary conditions. Building on the Gel'fand-Levitan reconstruction from eigenvalues and norming constants, …
Unknown
This study examines how neutral electrolytes affect coagulation interactions in concentrated model suspensions of nearly monodisperse glass spheres in water. Using limiting shear stress measured with a sensitive cone plastometer as an indicator of coagulation structure, the authors relate changes in…
V. F. Pisarenko
This paper studies a finite-interval Wiener-Hopf type equation arising in statistical problems for multidimensional stationary random processes whose spectral density matrix is rational and nondegenerate almost everywhere. It extends earlier one-dimensional results by reducing general rational spect…
N. K. KOCHETKOV, S. G. KARA-MURZA, V. A. DEREVITSKAYA
This study examines the general structure of blood-group substance A by applying hydroxylaminolysis as a method for selective fragmentation of the biopolymer. The authors treated purified substance A with hydroxylamine, separated dialyzable and nondialyzable products by electrophoresis, chromatograp…
Consider the hyperbolic system of three quasilinear equations
The paper studies uniqueness of continuous self-similar solutions of the Riemann problem for strictly hyperbolic systems of three quasilinear conservation laws. It reformulates the characteristic structure using Riemann invariants of the second family and constructs an explicit local example in whic…
A. K. Pikaev, P. Ya. Glazunov, Academician Vikt. I. Spitsyn
The study examines why the radiolytic oxidation yield of divalent iron in oxygen-containing sulfuric acid solutions decreases at high absorbed-dose rates. Ferrous sulfate solutions of varying iron, oxygen, acid, and sodium chloride concentrations were irradiated with short high-intensity electron pu…