S. G. Mairanovskii
This paper examines how the structure of organic catalysts influences polarographic catalytic hydrogen waves at a dropping mercury electrode, focusing on pyridine, picolines, and alpha,alpha-prime-lutidine. Using reversible bulk catalytic waves and varying buffer capacity at constant pH, it relates …
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This paper studies perfect measures and their relation to measurable partitions, Lebesgue spaces, subspaces, and regularity properties in topological settings. It proves that a complete measure is perfect exactly when every factor measure with respect to a measurable partition is a Lebesgue measure,…
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This study examines the crystal structures of the paramagnetic nickel ethylenediamine compounds Nien2Cl2 and Nien2Br2, which had been expected by analogy to form monomeric trans octahedral complexes. X-ray diffraction analysis using interatomic function and electron density projections shows that th…
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This paper reports the synthesis and characterization of unsaturated alpha-alkylallyl and alpha-alkylcrotonyl esters of arsenious acid, prepared by reacting arsenic trichloride with secondary unsaturated alcohols in the presence of pyridine. The authors describe the resulting compounds as colorless,…
I. V. Berezin and O. Dobish
The study examines the liquid-phase reactivity of saturated hydrocarbons toward free methyl radicals, focusing on hydrogen abstraction from cyclohexane, heptane, cis- and trans-decalin, and related systems. Relative rate constants were measured by comparing methane formation from hydrocarbons with t…
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The study examines the reaction of benzoyl peroxide with triethylalkoxytin compounds under mild conditions, contrasting it with the less selective reactions of related tetraethyl and triethyltin derivatives. Experiments with alkoxy groups including methyl, ethyl, cyclohexyl, benzyl, and phenyl show …
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This paper studies a recurrent vertex-edge function of graphs defined by deletion and contraction-type operations on the first ordered edge, with values in a ring generated by parameters. It gives necessary and sufficient algebraic conditions under which the function is independent of the chosen ord…
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This paper presents a method for determining periodic motions in one degree of freedom conservative systems governed by a nonlinear autonomous second order equation. By shifting the coordinate origin and representing the potential integral as a polynomial, the method rewrites the first integral in a…
V. D. GOLOVIN
This paper studies when a system of exponential functions with complex exponents forms a Riesz basis in its closed linear span in an interval \(L^2(-\sigma,\sigma)\). It introduces the critical quantity \(\tau(\Lambda)\), defined through uniform minimality, and the class \(K\) of exponent sequences …
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The paper studies inverse spectral problems for ordinary differential operators of order n at least 2 with bounded coefficient derivatives and boundary conditions defined by linear forms. It defines a spectral characteristic consisting of eigenvalues and norming constants for a family of boundary va…
U. V. PALM, V. E. PAST
This study examines the mechanism of cathodic hydrogen evolution on smooth lead by measuring the potential decay after interruption of polarization, with particular attention to whether electrochemically active adsorbed hydrogen contributes measurably to electrode capacitance. Using purified reagent…
Yu. L. RODIN
This paper develops an algebraic theory of generalized analytic functions on closed Riemann surfaces of genus greater than two, for equations of the form U_{\bar z}=B(z)\overline{U}. Using a Cauchy kernel and the associated Fredholm integral equations, it formulates adjoint equations, solvability co…
L. Kh. FREIDLIN, Yu. Yu. KAUP, E. F. LITVIN, and T. I. ILOMETS
This study examines the selectivity and stereospecificity of liquid phase hydrogenation of n-hexynes over a skeletal nickel catalyst, using chromatographically pure hex-1-yne, hex-2-yne, and hex-3-yne under identical conditions. Kinetic measurements and gas liquid chromatography of reaction mixtures…
G. N. KOVALEV, G. RAABE, R. M. NALBANDYAN, V. S. GURMAN
This study examines the ultraviolet initiated hydrobromination of ethylene and propylene at liquid nitrogen temperatures. Using vacuum deposition of hydrogen bromide and olefin mixtures, pressure measurements, gas chromatography, ferrioxalate dosimetry, thermographic analysis, and EPR observations, …
Yu. A. ZARIFYANTS, V. F. KISELEV, and G. G. FEDOROV
This study examines differential heats of adsorption of oxygen and water vapor on freshly cleaved, highly dispersed graphite in order to clarify the formation of surface functional groups. Using calorimetry together with volumetric oxygen adsorption and gravimetric water vapor measurements, the auth…
T. I. KATS
This note extends several tools of representation theory from locally compact unimodular groups to ring groups, with emphasis on the compact case. It defines representations through the group algebra, studies the regular representation, introduces coefficients, characters, conjugates, and a generall…
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This paper derives a superconductivity criterion from the normal state by analyzing the onset of an instability in the Bethe-Salpeter equation for a two-electron bound state in an electron-phonon system with Coulomb interaction. The argument reformulates the equation in relative momentum and energy …
B. D. POLKOVNIKOV, A. A. BALANDIN, and A. M. TABER
This paper examines the catalytic properties of palladium, platinum, and rhodium boride catalysts in low-temperature liquid-phase hydrogenation. The catalysts were prepared by reducing the corresponding metal chlorides with alkali-metal borohydride, then tested at atmospheric pressure in methanol us…
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This paper examines resonant excitation of one-dimensional fast and slow magnetosonic oscillations in a bounded conducting fluid within ideal magnetohydrodynamics, focusing on regimes where nonlinear effects dominate direct dissipation. Using approximate invariants and boundary conditions that excit…
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This paper examines the ultraviolet and visible absorption spectra of aqueous iodine solutions and iodine compounds in order to distinguish spectral bands associated with different iodine species, especially iodine in the positive monovalent state. Using spectrophotometry of potassium hypoiodite, io…
V. V. GLAGOLEV
This note studies the construction of fault tests for contact circuits formed as bounded block diagrams, where blocks are connected in series and each block has a uniformly bounded number of contacts depending on distinct variables. It introduces a structural condition under which unit open-circuit …
A. F. FEDOROV and G. V. SAMOKHIN
This study reports measurements of gamma field intensity above the Barents Sea in 1959 to 1960, addressing how marine gamma radiation varies where the water surface largely screens terrestrial radioactive sources. Using an ASGM-25 airborne geophysical station mounted on a research vessel and calibra…
P. V. KOZLOV, A. A. FROLOVA, and L. F. SLESAREVA
This study examines how periodic mechanical forces affect structural transformations in crystallizing polymers, using high molecular weight polycarbonate as a slowly crystallizing model system. Thermomechanical testing over varied temperatures and loading frequencies was combined with X-ray diffract…
A. Ashirov, I. M. Rumanova, and N. V. Belov
The paper determines the crystal structure of the hydrous magnesium borate lesserite using X-ray diffraction data from Weissenberg photographs and direct sign determination methods combined with Sayre-Zachariasen statistical relations. The monoclinic unit cell is assigned to space group P21/a, and e…
V. R. KAIGORODOV
This note studies four-dimensional Einstein spaces of hyperbolic signature satisfying \(R_{ik}=\varkappa g_{ik}\), with nonzero constant cosmological term, from the standpoint of maximal mobility and Petrov’s algebraic classification of the curvature tensor. Using criteria based on Lie derivatives o…
G. V. SAMSONOV and A. A. SELEZNEVA
This paper develops a thermodynamic interpretation of the selective sorption of organic ions by ion-exchange resins, addressing why larger and structurally complex organic ions can be sorbed more selectively than small metal ions. It distinguishes energetic and entropic contributions to ion-exchange…
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This paper examines temperature-dependent sorption of gases by synthetic type A sodium zeolite, with emphasis on molecules whose sizes are close to the window diameter of the zeolite cavities. The authors relate sorption onset to an activation barrier controlled by molecular kinetic energy, orientat…
N. V. AGEEV and V. Sh. SHEKHTMAN
This paper reexamines the rhenium and iron binary system, focusing on alloys containing 40 to 60 wt.% rhenium whose reported low-temperature phase relations appeared inaccurate. Using metallographic observation, X-ray diffraction after annealing and quenching treatments, density measurements, and ca…
Consider the tensors:
This paper studies affine connections on even-dimensional manifolds endowed with an almost complex structure, focusing on conjugate and symmetric conjugate connections associated with a given symmetric affine connection. It introduces tensors measuring the relation between the original, conjugate, a…
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The paper studies whether a linear operator assigning trigonometric polynomials of degree at most n can attain, on a whole function class, the same maximal error as best uniform approximation. For periodic classes defined by a concave modulus of continuity, the author proves that such a best linear …
G. V. SAMSONOV and T. S. VERKHOGLYADOVA
This paper reports a systematic experimental study of physical properties of transition metal nitrides of titanium, zirconium, hafnium, vanadium, niobium, tantalum, chromium, and molybdenum. Specimens prepared by nitriding and sintering in nitrogen were measured for electrical resistivity, thermoele…
V. B. LAZAREV, M. Ya. DASHEVSKII
The study examines whether singular features in the phase diagram of the indium antimony system, especially the congruently melting intermetallic compound indium antimonide, are reflected in the surface tension of corresponding melts. Surface tension was measured by the maximum pressure gas bubble m…
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This paper derives approximate light reflection and transmission characteristics for optically thick scattering layers with small specific absorption. Starting from the exact radiative transfer solution for a semi-infinite medium, the author expands the brightness coefficient for small absorption an…
B. A. DOLGOPLOSK, E. I. TINYAKOVA
This paper examines how the mechanism of diene polymerization governs the configuration of the growing chain end and the resulting polymer microstructure. Comparing radical, cationic, anionic, and coordination-ionic processes for butadiene, isoprene, and chloroprene, the authors relate cis, trans, 1…
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This study examines the reaction of triethylsilane with diacetylenic glycols in the presence of chloroplatinic acid, extending earlier work on hydrosilylation of acetylenic alcohols and glycols. Experiments with two dimethyl-substituted octadiyne and decadiyne diols show that triethylsilane adds to …
G. V. UZHIK and Yu. Ya. VOLOSHENKO-KLIMOVITSKII
This paper examines how the yield strength of several structural metals changes under combined low temperatures and high loading rates, with attention to implications for brittle fracture. Using oscillographic recording of the transition from elastic to small plastic deformation, and additional test…
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The paper studies a one-parameter discontinuous point transformation of the real line into itself, motivated by problems in oscillation theory and automatic control, where a single jump discontinuity appears as the parameter becomes positive. It defines a notation for cycles generated by alternating…
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This note studies the problem of determining monotone Boolean functions from values computed at as few vertices of the Boolean cube as possible. It defines resolving sets in terms of upper zeros and lower ones, then analyzes a class of local algorithms of rank k that choose subsequent evaluation poi…
The present note is a direct continuation of the work of A. G. Kurosh (¹) on the theory of radicals in groups.
This note continues Kurosh’s theory of radicals in groups by reformulating radicality axioms in terms of invariant, attainable, ascendant, and subinvariant subgroups. It gives criteria for the minimal radical class generated by a homomorphically closed class M, showing that a group belongs to this c…
I. M. Barkalov, Corresponding Member of the Academy of Sciences of the USSR V. I. Goldanskii,
This study examines when radiation-induced polymerization of solid acrylonitrile and vinyl acetate actually occurs, distinguishing reactions during irradiation from possible post-polymerization during thawing, phase transitions, or melting. The authors irradiated purified monomers with 1.6 MeV elect…
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Yttrium hydride was prepared by direct reaction of hydrogen with two yttrium metal samples of different purity, and hydrogen uptake was measured volumetrically with corrections for rare earth impurities. The study examines the effects of metal purity, pretreatment, temperature, and induction period …
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This note develops an operational calculus for the third order operator obtained by iterating differentiation with multiplication by the independent variable, an operator associated with a special third order differential equation and generalized Bessel type functions. The construction defines suita…
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This study measures the integral intensities of infrared absorption bands assigned to deformation vibrations of primary amino groups in aliphatic, aromatic, and heteroaromatic amines, chiefly in the 1600 to 1660 cm−1 region. Spectra of amine solutions in heptane, chloroform, and dioxane were recorde…
Corresponding Member of the USSR Academy of Sciences V. G. Levich, B. M. Grafov
This paper analyzes the impedance of a simple electrochemical cell containing a binary electrolyte under weak sinusoidal polarization with a reversible electrode reaction. Using transport equations, Poisson’s equation, electroneutrality in the diffusion region, and a sharp separation between the dif…
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This note addresses a Phragmen Lindelof type boundedness problem for harmonic functions in half-cylinders, in which the critical growth constant is related to geometric widths of the planar base domain. Building on earlier upper estimates involving the external width, it proves the complementary low…
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This paper examines how internal stresses arise during the formation of polymer coatings, treating them as a consequence of shrinkage constrained by adhesion to a solid substrate. Using gelatin films as a model system, the authors develop a shrinkage and relaxation calculation based on a Bingham bod…
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This note proposes a unified definition for classes of Poisson-stable motions in metric dynamical systems, based on the dependence of a return-time bound on time and interval parameters. It identifies a new class, called pseudorecurrent motions, situates it between recurrent motions and two-sided Po…
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The paper studies limitations on extracting computational data from convergence and differentiability assertions in constructive mathematical analysis. It proves that in any constructive metric space with at least two distinct points, no algorithm can transform every sequence converging to a fixed p…
M. Arato, A. N. Kolmogorov, Ya. G. Sinai
This paper studies estimation of the damping and frequency parameters of a two-dimensional stationary Gaussian Markov process represented as a complex Ornstein-Uhlenbeck process. Using the likelihood with respect to a product of Lebesgue and Wiener measures, it derives sufficient statistics and maxi…
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This paper examines plasticization in filled polymers, a case not previously addressed in studies of polymer plasticizers. Using dilatometric measurements, it compares the glass-transition temperatures of polystyrene and polymethyl methacrylate films filled with glass powder and containing varying a…