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This note studies dispersion relations for quantum field processes with a variable number of particles, using the double Compton effect on a nucleon as the model case and focusing on the situation in which there is no unobservable energy region. Following Bogolyubov’s method, the authors analyze ret…
M. S. PESIN and I. L. FABELINSKII
This paper investigates dispersion of the speed of sound in low-viscosity liquids at hypersonic frequencies, where direct acoustic generation was not feasible. Using the fine structure of Rayleigh light scattering and Mandelstam-Brillouin frequency shifts measured with a Fabry-Perot etalon, the auth…
Unknown
This paper presents a general Hilbert space framework for studying convergence of Galerkin type approximation methods for equations of the form Au plus lambda Ku equals v, where A is invertible and K is a linear perturbation. Using Kantorovich’s abstract scheme, it formulates determinant and compact…

This paper reports visual photometric observations of clear daytime sky brightness and polarization made in the Libyan Desert near Aswan in October and November 1957, using measurements along the solar almucantar with a yellow filter and Polaroid. From brightness measurements at three Polaroid orien…
Corresponding Member of the Academy of Sciences of the USSR A. I. Brodskii, V. I. Franchuk,
This study examines the mechanism of hydrogen peroxide formation during oxidation of 2-ethylanthrahydroquinone, tetrahydro-2-ethylanthrahydroquinone, and isopropanol by elemental oxygen. Using oxygen enriched in oxygen-18 and deuterium exchange in hydroxyl groups, the authors trace the origins of th…
Unknown
This note extends constructions of generalized eigenfunction expansions for self-adjoint operators from function spaces with differential basic operators to an abstract separable Hilbert space setting. The author defines basic elements as the domain of a closed densely defined operator with bounded …
N. A. GORYUNOVA and I. I. BURLIYAN
This paper investigates the pseudobinary AlSb, GaSb section of the Al, Sb, Ga ternary system, addressing earlier reports that the components form a eutectic system with negligible mutual solid solubility. Alloys of selected compositions were prepared and examined by thermal analysis, microstructure,…
L. G. BOLKHOVITINOV and P. F. POKHIL
This paper derives an estimate for the lower limit of the explosion frequency curve in drop weight impact tests of explosives, focusing on a stamp apparatus in which the material can flow freely. Assuming that initial heating arises from plastic deformation and that explosion begins early in the col…
F. S. DYACHKOVSKII, N. N. BUBNOV, and A. E. SHILOV
This paper examines Semenov’s hypothesis that bimolecular reactions forming free radicals can have low activation barriers when the radical-forming step is nearly thermoneutral or exothermic. The authors study the reaction of triphenylchloromethane with ethyllithium in solution using electron parama…
Unknown
This paper reports an experimental test of theoretical predictions for scintillation of a terrestrial light source propagating through atmospheric turbulence. Measurements were made over flat steppe paths of 250 to 2000 m using a modulated optical source, photomultiplier receivers with variable aper…
Unknown
The paper develops a Lyapunov-based method for estimating the convergence domain of small-parameter series representing periodic solutions of nonlinear differential systems near a generating periodic solution, including resonant cases where characteristic roots are integral imaginary values. It deri…
Unknown
This paper analyzes capillary rise in tubes whose radius varies with height, treating equilibrium positions through the potential energy of gravitational and surface forces and, equivalently, through the intersection of hydrostatic and capillary pressure relations. It argues that variable cross-sect…
A. B. TAUBMAN and A. F. KORETSKII
This study examines the mechanism by which highly dispersed solid emulsifiers, specifically bentonite clay, stabilize oil in water emulsions, questioning whether selective wetting and monolayer particle coverage alone are sufficient. Emulsion stability and interfacial layer properties were measured …
L. N. ESSEN
This communication addresses the synthesis of soluble heterosubstituted triacidotriammine complexes of tetravalent platinum as potential substrates for resolving predicted optical isomers. The work proceeds through preparation of substituted platinum(II) triammines, oxidation to platinum(IV) triammi…
Corresponding Member of the USSR Academy of Sciences O. A. REUTOV, O. A. PTITSYNA, and XU XUN-WEN
This study examines the synthesis of organomercury compounds by decomposing diaryliodonium salts and their mercuric chloride double salts with metallic reducing agents. Experiments with the diphenyliodonium chloride mercuric chloride double salt showed that mercury in water gave the best yield of ph…
Unknown
This paper examines the thermal disproportionation of hydrazobenzene and substituted hydrazo compounds in the presence of hydrochloride salts of amines and weak organic acids. By heating selected hydrazo compounds under nitrogen and analyzing the resulting amines, azo compounds, recovered starting m…
Unknown
This study investigates condensed-phase equilibrium in the naphthalene and thionaphthene system, a problem relevant to the purification of coal-tar naphthalene and complicated by the similar physical properties of the two compounds. Purified naphthalene and synthesized thionaphthene were examined by…
Unknown
The paper develops a variational framework for solving nonlinear operator equations in a Hilbert space under symmetry and positivity assumptions on the Gâteaux derivative. It proves uniqueness of classical solutions, characterizes them as minimizers of an associated functional, and introduces genera…
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This paper examines the mechanism of electron impact dissociation in large organic molecules, challenging the view that mass spectra arise mainly through simple bond rupture. The authors synthesize n-nonane labeled with carbon 13 at the central carbon and compare its mass spectrum with that of norma…
N. A. FUKS and S. S. YANKOVSKII
This paper examines thermophoresis of aerosol particles in a gas flow, focusing on discrepancies between established limiting theories and deposition patterns observed in thermoprecipitators. After reviewing expressions for thermophoretic force and velocity for particles much smaller or larger than …
Unknown
This paper examines thallium dichromate as a precipitated compound for quantitative thallium determination, addressing earlier claims that it was unsuitable for gravimetric analysis. Using phase differential thermal analysis and systematic precipitation experiments from neutral, sulfuric acid, and n…
V. A. SHUSHUNOV and B. Ya. ANDREEV
This study investigates kinetic isotope effects in topochemical reduction reactions of selected metal oxides with hydrogen and tritium, using gas mixtures containing hydrogen and trace HT. Reaction progress was measured from pressure decrease, while isotope composition was followed radiometrically, …
Unknown
This paper constructs a well-posed boundary-value problem for a nonclassical differential operator of the form \(-D_0^3+b\) in a bounded cylindrical domain, where \(b\) is an elliptic operator with constant coefficients in a generalized sense. Using Sobolev-type Hilbert spaces, the argument defines …
N. N. MOISEEV and A. M. TER-KRIKOROV
This paper examines nonuniqueness in the nonlinear plane hydrofoil problem for flows with a free surface, especially for Froude numbers near the critical value. Using a conformal mapping formulation and Lavrent’ev-type estimates for the free boundary, the authors derive an approximate nonlinear diff…
A. A. VARFOLOMEEV, D. I. GOLENKO, and I. A. SVETLOLOBOV
Monte Carlo calculations are presented for electromagnetic cascades in Ilford G-5 photographic emulsion initiated by electrons of 10^11 and 10^12 eV over depths up to 1.5 radiation lengths. The simulations use nonasymptotic cross sections for bremsstrahlung, pair production, Compton scattering, phot…
Unknown
This study examines the liquid-phase products formed during gamma radiolysis of hydrocarbons, with emphasis on normal alkanes and especially heptane. Ultraviolet and infrared absorption spectroscopy were used to identify unsaturated products after irradiation in sealed, evacuated, deoxygenated ampou…
I. I. OGIEVETSKII
This paper studies Weyl fractional integration and differentiation of periodic functions in \(L_p\), \(p>1\), through the behavior of best trigonometric approximation in the \(L_p\) metric. It proves that fractional integration increases, and fractional differentiation decreases, the order of best a…
Unknown
The study examines the cathodic and anodic behavior of high-purity zirconium in 1 N sulfuric acid at 25°C, with particular attention to the role of surface oxide films. Using polished, air-oxidized, and anodically oxidized electrodes under nitrogen, the authors measured open-circuit potential change…
A. V. ABLOV and N. M. SAMUS’
This paper reports the preparation and characterization of trivalent cobalt dimethylglyoxime complexes containing thiourea in the inner coordination sphere, a class not previously described in the cited literature. The authors synthesize mono- and dithiourea complexes by substitution from chloro-bis…
Unknown
This paper formulates an exact similarity reduction for unsteady axisymmetric motion of a viscous incompressible fluid between two parallel rotating disks with time-dependent angular velocities and injection velocities. The Navier-Stokes equations are reduced to a coupled system of one-dimensional n…
I. V. SMIRNOVA and K. V. TOPCHIEVA
This study examines adsorption from n-heptane solutions of selected aromatic and cyclic hydrocarbons on industrial alumina at elevated temperatures relevant to heterogeneous catalysis. Interferometric adsorption measurements for benzene, propylbenzene isomers and unsaturated analogues, allylbenzene,…
Unknown
This paper describes a preparative method for synthesizing fluorene and substituted fluorene hydrocarbons by treating aryl-substituted tetrahydrobenzoic acid derivatives with phosphorus pentoxide. The authors show that phenyltetrahydrophthalic anhydride gives fluorene rather than diphenyl, and propo…
Unknown
This paper formulates a linearized boundary value problem for a thin finite span wing with a symmetric profile, zero angle of attack, and arbitrary planform moving in an unbounded compressible fluid. The analysis allows rectilinear translational motion with variable velocity and small symmetric unst…
A. M. Samarin and R. A. Karasev
This study examines the deoxidizing ability of carbon dissolved in liquid iron under vacuum, addressing the discrepancy between thermodynamic predictions and observed behavior in vacuum melting. Experimental heats at 1590 degrees C were carried out at pressures of about 10^-2 and 10^-6 mm Hg, with p…
O. L. Danetskaya
A. S. KELZON and O. V. GRIGOR'EVA
This paper treats proportional navigation as a cybernetic guidance problem rather than only a kinematic problem of two moving points. For a target moving at constant speed and direction and an object with constant speed, the authors derive closed form expressions for the ideal trajectory, line of si…
A. N. NESMEYANOV, A. E. BORISOV, and N. V. NOVIKOVA
This study examines whether electrophilic replacement of lithium by carbon in cis- and trans-propenyllithium preserves the geometrical configuration of the olefinic radical. The authors prepared stereoisomeric propenyllithium from the corresponding propenyl bromides and reacted each with acetone, ac…
Unknown
This paper reports early observations of the two-dimensional radio brightness distribution of the Sun using a newly commissioned 31 m radio telescope at the Crimean station of the P. N. Lebedev Physical Institute. The authors describe a scanning method in which the antenna pattern was swept in decli…
Unknown
This paper extends Lyapunov stability criteria for ordinary quasilinear systems to functional differential systems with aftereffect in a Banach space. The linear delayed equation is represented as an abstract ordinary equation on a space of continuous history segments, generated by an unbounded oper…
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This paper develops operator-theoretic generalizations of Newton and Chaplygin methods for solving nonlinear equations in ordered Banach-type and K-spaces. It replaces derivative inverses in iterative schemes by more general auxiliary operators, not necessarily invertible, and gives convergence cond…
A. I. GRIGOR'EV, Corresponding Member of the Academy of Sciences of the USSR A. V. NOVOSELOVA
This study examines the interaction of beryllium oxyacetate with sulfur dioxide, a system expected to form weak inclusion type compounds rather than ordinary coordination complexes. Composition and vapor pressure isotherms between about minus 10 and minus 30 degrees Celsius were measured with a tens…
Unknown
This note introduces the genus of a locally trivial fiber space as the least cardinality of an open cover of the base over which local cross-sections exist, generalizing both earlier equivariant genus notions and the Lusternik-Schnirelmann category. It establishes basic functorial properties, compar…
Corresponding Member of the Academy of Sciences of the USSR K. A. ANDRIANOV,
This paper investigates whether polymers can be prepared that remain soluble in organic solvents while being infusible, a combination presented as contrary to the usual relation between solubility, melting, and molecular structure. The authors synthesize polyalumophenylsiloxane and polyalumoethylsil…
Unknown
The paper studies strong and weak membership problems for finitely presented groups under direct products, distinguishing them from the identity problem. It proves that the weak membership problem is unsolvable for the direct product of two free groups on two generators, by reducing Novikov’s unsolv…
Academician **I. N. Nazarov** and Zh. A. Krasnaya
This paper describes the use of ethoxyisoprene as a reagent for synthesizing polyene aldehydes of the isoprenoid type, extending earlier applications of vinyl ethers to carotenoid-related aldehyde synthesis. The authors show that acetals, exemplified by dimethylacrolein aldehyde acetal, add to ethox…
S. M. Samoilov, A. A. Slinkin, and A. M. Rubinshtein
This study examines the phase composition, magnetic properties, adsorption behavior, and catalytic activity of two unused iron-carbon catalysts prepared on activated carbon and generator dust supports. X-ray diffraction, magnetic susceptibility measurements, thermomagnetic analysis, adsorption of to…
Unknown
The paper studies how results from the perturbation theory of linear operators in Banach spaces extend to linear topological spaces formed from nested families of Banach spaces. It proves that Fredholm type properties of Phi operators, including normal solvability, finite defect characteristics, and…
Yu. I. Yagn and O. A. Shishmarev
This paper reports an experimental study of the boundary of the elastic state in thin walled nickel tubes plastically prestrained in tension and then subjected to combined tension and torsion. Using carefully controlled loading, deformation measurements, varied holding times, and specified tolerance…
V. I. Likhtman, L. A. Kochanova, L. S. Bryukhanova
This paper examines brittle fracture in high-purity zinc single crystals under two embrittling conditions: low temperature in an inactive medium and room-temperature deformation in the presence of mercury as a surface-active medium. Using uniaxial tension tests on crystals with varied basal-plane or…
<div align="right">G. N. Povarov</div>