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This study examines the synthesis and reactions of trialkylsilylethynylvinyl butyl ethers derived from ethynylvinyl butyl ether through its magnesium bromide derivative in ether and subsequent reaction with trimethylsilyl or triethylsilyl chloride. The reactions proceed under mild conditions and giv…
L. A. REZNITSKII and K. G. KHOMYAKOV
This paper reports calorimetric measurements of the heats of formation of copper, zinc, and calcium ferrites, motivated by the need for thermodynamic data relevant to ferrite synthesis. The authors determined these values from differences in the heats of dissolution of ferrites and corresponding oxi…
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This paper develops a theory for the influence of insoluble monolayers and thin foreign films on the evaporation of liquid drops, separating effects that earlier treatments combined in a single condensation coefficient. By solving diffusion and boundary flux problems for spherical drops, the authors…
M. A. Avdeenko, Corresponding Member of the Academy of Sciences of the USSR
This study examines how deposition temperature, crystal size, and sintering affect the specific catalytic activity of iron films in the isotopic exchange reaction between molecular hydrogen and deuterium. Iron films were prepared by vacuum condensation at different temperatures, characterized by ads…
M. I. ROZENGART, A. A. SLINKIN, and A. M. RUBINSHTEIN
This paper examines how preparation conditions affect the structure and catalytic stability of chromium oxide on silica gel during dehydrocyclization of n-heptane. Chromium silica gel catalysts treated with alcohol were heated in air or hydrogen and compared by catalytic tests, X-ray diffraction, an…
L. I. ZAKHARKIN
This paper reports the catalytic oligomerization of isoprene using a complex catalyst prepared from triisobutylaluminum and titanium tetrachloride under conditions that favor low oligomers rather than polymer formation. Distillation and fractionation of the reaction products gave dimeric, trimeric, …
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The paper reexamines the reaction of azodicarboxylic ester with gem-dialkylbutadienes, previously interpreted as a Diels type formation of tetrahydropyridazine derivatives. By studying hydrogenation, alkaline hydrolysis, formation of nitrobenzylidene derivatives, and oxidation of the resulting hydra…
A. B. GAGARINA, Z. K. MAIZUS
This paper examines critical phenomena in slow chain reactions with degenerate branching under the action of radical inhibitors, focusing on the predicted transition between stationary inhibited oxidation and autocatalytic reaction. A kinetic scheme is formulated for hydrocarbon oxidation in the pre…
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This paper examines the excitation of oceanic microseisms associated with cyclonic and storm activity in the Atlantic and Pacific regions, using observations from seismic stations participating in the International Geophysical Year. It applies a previously developed source-location method based on s…
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The paper studies inhomogeneous multiple Gauss sums associated with integral quadratic and linear forms, including sums over arithmetic progressions modulo an auxiliary integer. It establishes structural formulas such as reduction to complete sums, multiplicativity over coprime moduli, invariance un…
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This paper determines the linearizing central normal divisors and kernels of linear representations for noncompact real simple Lie groups. Using the structure of real forms via involutive automorphisms and integral lattices in Cartan subalgebras, it proves that the linearizing divisor of a simply co…
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This study examines the poorly characterized oxidation behavior of neodymium and the structures of oxides formed from thin neodymium films. Using fast electron diffraction, the authors analyzed films oxidized in air at room temperature and after heating to 500, 700, and 900 degrees Celsius, as well …
K. E. EGOROV
This paper treats the contact problem for an elastic layer of finite thickness acted on by an eccentric vertical force applied through a circular rigid punch. The loading is decomposed into a central force and a moment, and the solution is developed using harmonic displacement potentials, Bessel int…
D. N. GARKUNOV, V. N. LOZOVSKII, and A. A. POLYAKOV
This paper investigates the mechanism of mutual atomic transfer of copper during friction of bronze against steel under glycerol lubrication, a phenomenon associated with very low wear. The authors propose that localized heating at contact spots enables glycerol to reduce copper from surface oxide f…
V. V. TOLMACHEV
The paper develops a finite-temperature treatment of elementary excitations in a nonideal Bose-Einstein system by replacing zero-momentum particle operators with a condensate c-number and analyzing temperature Green’s functions for condensate-related and overcondensate density fluctuations. Using Bo…
A. B. Vasil'eva
This note studies boundary-value problems for singularly perturbed systems in which a small positive parameter multiplies the highest derivative, extending earlier asymptotic methods from initial-value problems and second-order equations to more general systems. It constructs formal matched expansio…
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This note studies a class of stable systems of linear difference equations and the reduction of their associated parameter-dependent matrices to simpler canonical forms. Using Fourier representation, analytic properties of eigenvalues, and local similarity transformations, it shows that under stated…
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This paper addresses the difficulty of selecting optimal algorithms for automatic street traffic regulation, especially where mathematical comparison of alternatives is impractical. It formulates the elements of the problem, including traffic flows, intersection geometry, signal modes, control algor…
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This paper addresses the disputed magnitude of neutron radiation from rocks relative to cosmic-ray neutrons at sea level. Using published data on cosmic-ray neutron production and available measurements of neutron yields from alpha-particle interactions in granite, the authors estimate neutron produ…
R. M. Lazorenko-Manevich, N. A. Aladzhalova, and V. I. Veselovskii
This study examines hydrogen evolution on p-type and n-type germanium electrodes under cathodic polarization in alkaline and acidic solutions, with particular attention to surface state and illumination effects. Using overvoltage measurements, transient polarization curves, and discontinuous illumin…
S. Ya. KHAVINSON
The paper studies a class of extremal problems for generalized polynomials in locally convex linear topological spaces, where the approximation error measured by a continuous symmetric convex functional is combined with a second convex functional of the coefficients. A dual extremal problem over con…
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The paper presents a method for integrating exponential linear functions over regions defined by finite systems of linear inequalities, using contour integral representations of characteristic functions. By reducing the resulting multidimensional complex integrals through residue calculations, the a…
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This note applies properties of envelopes of holomorphy to convolution equations in the space of tempered distributions, including linear differential equations with constant coefficients satisfying a specified nonvanishing condition in spacelike directions. By passing to Fourier transforms and usin…
D. F. DAVIDENKO
This paper applies the parameter-variation method to the numerical inversion of matrices whose entries depend differentiably on a scalar parameter. Starting from a known inverse at an initial parameter value, the inverse matrix is obtained by integrating the differential equation dB/dλ = −B(dA/dλ)B,…
A. A. PROKHOROVA and Ya. M. PAUSHKIN
This paper reports the synthesis and characterization of previously undescribed cyclopentadienyl boron compounds, chiefly tricyclopentadienylboron and cyclopentadienylboron difluoride, prepared by reacting cyclopentadienylmagnesium bromide with boron trifluoride etherate in ether under nitrogen. The…
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This paper reports a method for preparing conjugated methylpentadienes from oxidation products of propylene dimer, a byproduct of industrial propylene polymerization. Propylene dimer oxidate was fractionated into hexene oxides, hexenols, and higher boiling oxygenated products, and the oxide and hexe…
D. P. Timofeev
This paper addresses how to determine the dependence of gas diffusion coefficients on loading in real porous sorbent grains of arbitrary shape, avoiding uncertainties introduced by pressing powders or reshaping grains into regular geometries. Assuming a narrow concentration interval in which the dif…
Corresponding Member of the Academy of Sciences of the USSR M. A. STYRIKOVICH,
This paper investigates the solubility of boric acid in saturated water vapor, motivated by its use in regulating reactivity in boiling systems and by applications in power and geothermal installations. Experiments were performed by evaporating small portions of boric acid solutions over pressures f…

This study examines the mobility and removal of metalloid modifying additives in silver catalysts, focusing on chlorine, iodine, and sulfate species labeled with radioactive isotopes. Additives were introduced into pressed silver tablets, heated in different gaseous media, and monitored radiometrica…
B. G. BOLDYREV, K. A. GAR, and N. V. EVTEEVA
This paper investigates the fungicidal activity of thiosulfonic acid esters, a class of compounds previously noted for broad antimicrobial effects and potential agricultural use. A series of alkyl, trichloromethyl, and aryl esters of alkane- and arenethiosulfonic acids were tested in vitro against f…
V. N. Karp
The paper studies a nonlinear boundary value problem for forced vibrations of a string, seeking a twice continuously differentiable solution that is periodic in time and satisfies fixed endpoint conditions. Extending the author’s earlier treatment for odd integral wave speeds, it reduces the problem…
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The paper addresses the problem of justifying a double spectral representation for generalized functions of two variables, motivated by double dispersion relations in mathematical physics. It defines a complete countably normed space of test functions with specified differentiability, integrability,…
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This paper develops a semigroup-theoretic framework intended to unify structure-theoretic and category-theoretic theories of direct decompositions. It defines direct decompositions of idempotent elements in semigroups with zero and identity, introduces regularity, splitting, normality, subordination…
Unknown
This paper examines the structures and preparation of derivatives of ethyl alpha-chlorovinylphosphinic and ethyl beta-chlorovinylphosphinic acids. Ozonolysis of propyl and isobutyl esters of ethylchlorovinylphosphinic acid, followed by identification of formaldehyde through its dimedone condensation…
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This paper derives simplified governing equations for steady plane and axisymmetric ideal-gas flows at very large supersonic Mach numbers, using a small parameter related to the inverse Mach number and a hypersonic similarity parameter. It distinguishes the regime in which this parameter is of order…
Unknown
This paper proposes a statistical approach to melting that determines the transition temperature from the crystalline side rather than from the liquid distribution function. Using Bogolyubov’s variational principle, the crystal is modeled first as an Einstein solid with atoms oscillating independent…
F. M. PERELMAN
This paper discusses graphical and physical model representations for five-component chemical systems, where ordinary plane diagrams become inadequate for conveying relations between composition and properties. It compares projections of the four-dimensional figures used for simple systems, reciproc…
M. Ya. VAINSTEIN
This note studies acyclic diode circuits for a one-digit binary adder constructed from logical and, or, and not elements, with at most one negation, and asks for the minimum number of diodes needed to produce the carry and sum modulo 2 from three input bits. By analyzing monotone subcircuits and str…
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This study examines solvent effects in the Menschutkin reaction of pyridine with ethyl iodide, using pressure dependence of reaction rates together with density, compressibility, pycnometric, and conductivity measurements. Experiments in nitrobenzene and cyclohexanone at 50 degrees C and pressures u…
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This paper investigates the preparation of previously unknown nitrile derivatives of benzylpenicillin and phenoxymethylpenicillin as part of a study of how replacing the free carboxyl group affects penicillin properties. The authors prepared the nitriles by dehydrating the corresponding penicillin a…
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This note studies finite groups in relation to classes of isoordinal subgroups, where subgroups are grouped by having the same order, with particular attention to unattainable, that is non-subnormal, Pi d-subgroups. After recalling notions of Pi-solvability and Pi-separability, the paper establishes…
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This paper examines the occurrence and stability of a sigma phase in the rhenium and vanadium alloy system, where earlier work had reported no intermediate phases. Using phase diagram construction, high temperature annealing, microstructural observation, microhardness testing, and X-ray diffraction …
A. A. ZAITSEV
This paper analyzes the linear stability of a thin viscous liquid film flowing over a solid wall under the action of a viscous gas stream. Small disturbances of the gas-liquid interface are introduced, and in the limiting case of small gas-to-liquid viscosity and density ratios the problem is reduce…
D. D. IVLEV
This note examines linearized three-dimensional problems in the theory of ideal plasticity, extending earlier planar treatments in which the governing relations reduced to wave equations. For a square bar with shallow smooth notches under tension, the stress perturbations are expressed through a pot…
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This paper studies relative entropy, entropy production rates, and entropic stability for Gaussian random variables and stationary Gaussian processes. It defines entropy density for probability measures, gives criteria and decompositions for finite entropy between Gaussian variables, and derives spe…
A. A. Grinberg and M. I. Gel'fman
This study addresses the limited quantitative data on the stability of divalent platinum complex ions, especially the overall instability constants of chloro, bromo, iodo, and cyanoplatinites. The authors determined free platinum ion concentrations by measuring the electromotive force of cells with …
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This paper studies Riemannian spaces of positive curvature with a pole, focusing on spheres centered at the pole and the behavior of geodesics relative to the corresponding balls. Using comparison arguments and variational methods for geodesic digons, it proves that all such spheres are strictly con…
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A. N. Shidlovskaya, Corresponding Member of the Academy of Sciences of the USSR Ya. K. Syrkin,
This paper examines how accumulation of nitro groups influences the polarity and chemical behavior of aliphatic halopolynitro compounds. Dipole moments of eight compounds were measured in benzene at 25 degrees by the heterodyne method, with electronic and atomic polarization corrections used to esti…
Yu. L. SAGALOVICH
The paper studies the enumeration of symmetry types of oriented contact (1,k)-poles realizing basic sequences of Boolean functions in n variables, where equivalence is defined by transformations of the n-dimensional hypercube. Using a group representation induced by these transformations and a chara…