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This paper examines selective sorption in porous glasses produced by acid leaching of alkali silicate glasses, comparing their behavior with molecular sieve zeolites. Sorption isotherms for water, alcohols, nitrogen, and hydrocarbons show that some porous glasses strongly absorb small molecules such…
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This paper studies convex domains homogeneous under affine transformations, with projectively homogeneous bounded convex domains reformulated through associated homogeneous cones. It establishes structural results for the automorphism group, including maximal compact stabilizers, embedding in an alg…
B. M. GUREVICH
This note proves that the horocycle flow on a compact surface of constant negative curvature has zero entropy, in contrast with the known positive entropy of the corresponding geodesic flow. The argument constructs a finite measurable partition of the space of line elements such that, for sufficient…
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The paper studies the immersion of torsion-free symmetric spaces of affine connection of the first class into an affine space of minimal dimension, under the assumptions that the Ricci tensor is nondegenerate and, for dimension greater than two, that the curvature matrix has rank greater than two. U…
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This paper proves a lattice-theoretic analogue of a principal consequence of Grushko’s theorem for finitely generated groups. Although the direct Grushko-type statement fails for lattices, the author shows that if a finitely generated lattice is expressed as a free product of finitely many sublattic…
B. I. DAVYDOV
This paper develops a one-point statistical formulation for incompressible turbulent flow intended to avoid the difficulties of two-point moment descriptions, especially for inhomogeneous turbulence. Building on earlier equations for mean velocity, second and third velocity-fluctuation moments, and …
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The paper studies when a Riemann surface obtained by conformally gluing the two boundary lines of an infinite strip by a continuously differentiable increasing function has parabolic type. It constructs piecewise linear approximations to the gluing function, decomposes the strip into quadrilaterals,…
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This paper analyzes the breakdown of normal combustion in powdered and porous explosives, relating the instability to the penetration of hot combustion gases into pores and surface irregularities. It formulates a critical condition in which the characteristic pore or roughness size becomes comparabl…
JAN LIPIŃSKI
This paper characterizes pairs of subsets of the real line that can occur as the points where a sequence of continuous real functions tends respectively to positive and negative infinity. It recalls that each such set must be of class \(F_{\sigma\delta}\), and observes that the two sets must also be…
A. N. SHARKOVSKII
This paper studies continuous self-maps of the real line through reducible invariant sets and the structure of fixed points of their iteration processes. It establishes relations among periodic points of different orders, including restrictions when periods that are powers of two are absent and the …

This study examines the specific adsorption of iodide ions on silver in 1.0 N sulfuric acid and its effect on hydrogen overvoltage. Using iodine 131 radiochemical measurements combined with polarization and differential capacitance measurements, the authors determine adsorption as a function of elec…
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This study examines the near ultraviolet absorption and photochemical behavior of dilute, moisture-free ferric chloride solutions in aromatic hydrocarbons, focusing on benzene, toluene, and xylene. The authors interpret the observed broad absorption bands as charge-transfer bands of ferric chloride,…
T. G. GEGELIA
The paper studies singular integral equations on bounded smooth surfaces with edges, where the kernels have a Calderon-Zygmund type principal singularity and the unknown is sought in weighted Lebesgue spaces determined by distance to the edge. It establishes boundedness and interchange properties fo…
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This paper examines the time dependence of radiation-induced electrical current in dielectrics exposed to gamma irradiation, with attention to the role of electron traps and recombination centers. Using a simplified kinetic model for free-electron generation, recombination, and trap capture, it expl…
and Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV
This paper examines the use of electron paramagnetic resonance for quantitative isotopic analysis of nitrogen-14 and nitrogen-15 in nitrogen-containing compounds. The method converts sample nitrogen to ammonia and then to a stable nitroxide radical, 2,2,6,6-tetramethyl-N-dehydropiperidone-4-oxide-1,…
Yu. Ya. Kharitonov, Ni Tsze-Tsang, and A. V. Babaeva
This paper examines the disputed structure of “anomalous” aminonitrile complexes of divalent platinum, whose formulas appeared to imply coordination numbers higher than four. The authors use infrared absorption spectra of solid nitrile platinum complexes, related non-anomalous complexes, and anomalo…
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This paper examines how vibrational quantum transfer affects departures from the Boltzmann distribution during thermal dissociation in an isolated system of diatomic molecules. Using a truncated harmonic oscillator model, it derives rate equations for vibrational populations, reduces the nonlinear s…
O. A. REUTOV, O. A. PTITSYNA, and M. F. TURCHINSKII
This paper develops a paper chromatographic method for separating and identifying symmetrical and unsymmetrical diaryltin dichlorides, using oil-impregnated chromatographic paper, methanol in hydrochloric acid as the mobile phase, and diphenylcarbazone detection. The method is applied to reaction mi…
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This paper examines the apparent decrease of the condensation, or sticking, coefficient observed during chemisorption of gases on metal surfaces as adsorbate concentration increases. It argues that the true chemisorption coefficient may be independent of surface concentration, while the measured dec…
Yu. N. BLAGOVESHCHENSKII
This paper studies diffusion processes with a small diffusion coefficient and derives local asymptotic results for their transition densities as the small parameter tends to zero. Starting from an asymptotic expansion of the stochastic process around the deterministic solution, it gives conditions u…
B. A. ANDREEV
This paper examines whether mean Faye gravity anomalies can be used to infer isostatic compensation where direct calculation of isostatic anomalies is difficult. Using published data for 2210 continental stations and 596 oceanic stations, it analyzes the correlation between the difference of Faye an…

This paper addresses the determination of the accessory constants in the Christoffel-Schwarz integral for mapping a simply connected polygon onto a half-plane. It develops a computational method based on expanding the integrand factors into binomial power series, leading to systems of equations for …
V. G. BEREZKIN, A. E. MYSAK, and L. S. POLYAK
This study examines the gamma radiolysis of purified, degassed n-hexane at room temperature in a low integral dose range, 3 x 10^18 to 1 x 10^20 eV/ml, where earlier work had provided limited kinetic information. Gaseous C1 to C4 hydrocarbon products were measured by gas chromatography using a highl…
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The paper derives an error estimate for numerical approximations to a Fredholm integral equation of the second kind at a prescribed set of nodes. Using an arbitrary quadrature formula on those nodes, the argument expresses the discrepancy between the exact nodal values and a computed vector in terms…
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The study examines the kinetics of triphenylcarbinol reduction to triphenylmethane by isopropyl alcohol in aqueous sulfuric acid, treating the process as hydride transfer from nonionized alcohol to the triphenylmethyl cation. Reaction rates were measured spectrophotometrically over varied acid, alco…
A. N. KHARIN and N. A. KATAEVA
This study investigates the mechanism of molecular iodine transfer during intradiffusional adsorption on BAU, KAD, and AG charcoals from water, ethanol, benzene, and carbon tetrachloride. Equilibrium adsorption isotherms, heats of wetting, adsorption kinetics, half-saturation times, and effective in…
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This paper examines the relative roles of chemical reaction and crystallization processes in reversible topochemical reactions involving solids, with particular attention to how distance from equilibrium affects observed kinetics. A theoretical treatment is developed for a reversible decomposition r…
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This paper analyzes the formation of nonstationary wind-driven surface currents after the sudden onset of a time-varying wind, using an Ekman-type model for two limiting cases: a strongly stratified sea with slip at a density discontinuity and a homogeneous deep sea. By applying the Laplace transfor…
Yu. A. PALANT
The note proves a completeness criterion for the eigen and associated vectors of a polynomial operator pencil in a Hilbert space. It extends Keldysh’s result for linear pencils by reducing the polynomial pencil to a linear pencil on the orthogonal sum of n copies of the space, then applying estimate…
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This study examines the luminescence spectra of more than 100 diamonds from the Mir pipe, focusing on variations in the yellow-green spectral component under ultraviolet excitation and low-temperature observation. Spectra were photographed with prism and grating spectrographs, and selected specimens…
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This paper studies Riemannian spaces fibered by totally geodesic parallel submanifolds whose associated holonomy group is one-parameter. Using Cartan’s exterior forms, it derives the structural consequences of such a holonomy: a transverse foliation, induced tensors on the base and on the space of t…
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The study examines whether organotin and organolead peroxide compounds undergo rearrangements analogous to known perester and related organosilicon or organogermanium reactions. Reactions of triphenyltin hydroxide with peracetic and perpropionic acids in several solvents, and of triethyllead hydrope…
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This paper examines the infinite system of linear algebraic equations previously obtained for the transverse bending of a circular prismatic bar with an eccentric elliptical hole. Using the conformal mapping formulation and contour integral representations of the associated analytic functions, it de…
S. M. Kogarko and B. A. Ivanov
This paper reexamines the limiting pressure for spontaneous propagation of an acetylene decomposition reaction zone, a value commonly reported as 1.35 to 1.40 ata. Using steel tubes with optical recording and several ignition methods, including heated nichrome, capacitor sparks, and explosive mixtur…
Academician of the Academy of Sciences of the Belorussian SSR B. I. STEPANOV
This paper develops a quantum mechanical account of the continuous absorption and luminescence bands of complex molecules, focusing on band contours and the origin of Stokes losses. It models electronic excitation as coupled directly to one or a few vibrational degrees of freedom, while the remainin…
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The paper refines an existing algorithm for a generalized linear programming problem: maximizing, over a closed convex polyhedron, the minimum deviation from a given family of hyperplanes. It reformulates the numerical procedure using Jordan eliminations analogous to those employed in the simplex me…
A. D. DANILOV
This paper examines mechanisms governing molecular ions in the upper atmosphere using rocket and satellite measurements of ion, electron, and neutral particle concentrations. It argues that charge transfer from atomic ions explains nitrogen molecular ions and lower altitude oxygen molecular ions, bu…
1.** Consider the system of nonlinear differential equations:
The paper studies the singular perturbation problem arising in the nonlinear equations for large axisymmetric deflections of a circular plate under symmetric loading, with several standard edge-fixing boundary conditions. It constructs asymptotic expansions as the plate-thinness parameter tends to z…
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This paper investigates the feasibility of separating stable silicon isotopes by rectification of monosilane, proposed as a favorable compound because of its low boiling point and relatively large isotopic molecular mass differences. Monosilane was distilled in a packed rectification column at 560 m…
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This note proves the minimality of contact circuit realizations for a class of Boolean functions in an arbitrary number of variables, extending known minimality results beyond previously studied cases. The function considered is the chain function, whose perfect disjunctive normal form is analyzed t…
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This paper studies modular representations of the group Z2 x Z2 over an algebraically closed field of characteristic 2, a basic case in which infinitely many indecomposable representations occur. By translating the problem into the module theory of a quotient of the group algebra, the classification…
K. V. SHALIMOVA, T. S. TRAVINA, and R. R. REZVYI
This paper investigates the photoconductivity of polycrystalline cadmium sulfide films over wavelengths from 225 to 700 nm as a function of preparation conditions. More than 600 films were deposited on insulating substrates in vacuum, argon, or hydrogen sulfide, with varied substrate temperature and…
R. M. LAZORENKO-MANEVICH and S. O. IZIDINOV
This paper develops kinetic expressions for cathodic processes on semiconductor electrodes when valence-band electrons, rather than only conduction-band electrons, participate in the reaction. Starting from established semiconductor electrode theory and assuming no surface states, the authors derive…
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This paper studies multiplicative representations of analytic operator functions in a separable Hilbert space that are holomorphic off a bounded real set, have a compact-operator expansion at infinity, and satisfy a J-nonexpansive positivity condition in the upper half-plane. Extending earlier finit…
V. A. LARIN and N. A. BAKH
This study examines oxidation and reduction reactions induced by ionizing radiation in nitrogen-saturated organic solutions of the methylene blue, leucomethylene blue redox pair. Using spectrophotometric measurements after x-ray and gamma irradiation in a range of purified solvents, the authors comp…
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This study examines complex compounds formed by borane and phenylborane with diethylamine and describes several thermal and substitution reactions of the resulting organoboron compounds. Diethylamine-borane was prepared in high yield from diborane and diethylamine and found to be a liquid rather tha…
1°.** As is known, the problem of the geodesic mapping of Riemannian spaces leads to metrics of the form (see (¹))
This paper addresses the non-uniqueness of Levi-Civita representations of Riemannian metrics arising in the theory of geodesic mappings, focusing on exceptional metrics whose associated spaces have constant negative curvature. It reduces the description of all such representations to two tasks: clas…
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This study examines the anodic polarization of platinum in perchloric acid by measuring potential decay after interruption of the polarizing current, with particular attention to the potential jump observed during oxygen evolution. Decay curves recorded by oscilloscope were used to estimate electrod…
V. G. TARNOPOLSKII
This note formulates direct and inverse scattering problems for one-dimensional difference equations, first with scalar coefficients and then with operator coefficients in a Hilbert space. Using radiation conditions, weighted Banach spaces, compactness of associated resolvent-type operators, and Fre…