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The paper examines the calculation of the photoelastic coefficient for rubber-like polymers modeled as isotropic Gaussian networks, extending earlier treatments based on freely jointed chains and fixed internal nodes. Using the Guth and James theory of Gaussian network elasticity, it derives the bir…
G. G. CHERNYI
This paper studies high supersonic gas flow past a thin cone with a blunt nose, extending an earlier approximate formulation for blunted wedges to axisymmetric bodies. The blunt nose is represented by a concentrated drag force, and the flow is reduced, using the law of plane sections, to a one-dimen…
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This paper examines the characteristic vibrational frequencies of olefins and the reliability of assigning observed Raman and infrared bands to specific structural elements around the carbon double bond. Using theoretical normal-vibration calculations for representative substituted ethylenes, includ…
S. N. Vernov, Yu. I. Logachev, A. E. Chudakov, Yu. G. Shafer
This article proposes to consider the use of an artificial Earth satellite for studying variations in cosmic radiation. With the aid of relatively simple apparatus consisting of a counter and an ionization chamber, the following phenomena can be studied: (a) variations in primary cosmic radiation, (…
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This paper addresses the limited availability of general methods for preparing 3-hydroxypyrrolidine, its N-substituted derivatives, and related sulfur heterocycles. The authors develop a route based on 1,4-dichlorobutanol, obtained by lithium aluminum hydride reduction of 1,4-dichlorobutanone, and s…
M. I. KLYUT-DASHINSKII
This paper studies the convergence rate of the method of orthogonal projections for the first boundary-value problem for elliptic equations of polyharmonic type with constant coefficients. It constructs an orthonormal polynomial system associated with solutions of a factored differential operator, p…
N. I. Shuikin and I. F. Bel’skii
This study examines vapor-phase catalytic hydrogenolysis and hydrogenation of sylvan, or 2-methylfuran, at 275 degrees over platinum, palladium, copper chromite, nickel on alumina, and skeletal nickel-aluminum catalysts. Reaction products were separated by fractional distillation, identified through…
I. M. Imyanitov
This paper examines the specific features of measuring electrostatic fields in the upper layers of the atmosphere and approaches to developing instrumentation suitable for these measurements.
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This paper studies a singular Volterra type integral equation in two variables arising from a heat exchange problem for bodies in thermal contact. Using the Fourier transform of generalized functions in the sense of Schwartz, the equation is reduced to a convolution equation in the transformed varia…
Academician of the Academy of Sciences of the Ukrainian SSR A. Yu. Ishlinskii
This paper examines a bifurcation of stationary motion in which the principal form does not lose stability, contrasting it with familiar examples such as Euler buckling and the rotating pendulum. Motivated by experiments on an elongated axisymmetric rigid body suspended by a string, it formulates th…
S. M. CHASHCHNIKOV
This paper develops a field theory of local hypercones in an n-dimensional space for dimensions at least four, extending earlier work on local conical surfaces and their applications to variational problems and first-order partial differential equations. It treats pseudoregular central hypercones th…
Ya. L. Alpert
In the present article, in the course of the exposition, some of the gaps in the study of the ionosphere and the resulting problems will be emphasized, new results will be presented, and it will be shown that in a number of cases it is possible to understand the observed phenomena more closely than …
A. V. BITSADZE
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This study examines how preliminary dehydrogenation of skeletal nickel affects its catalytic activity in the hydrogenation of dimethylethynylcarbinol in alkaline solution, water, and 96 percent ethanol at 20, 40, and 60 degrees Celsius. A nickel catalyst prepared from a nickel aluminum alloy was sat…
A. E. Arbuzov and Yu. P. Kitaev
The study applies polarography to clarify the insufficiently resolved tautomerism and stereoisomerism of selected arylhydrazones in alcoholic solution. Families of polarograms were recorded over time for phenylhydrazones of aliphatic and aromatic carbonyl compounds, supported by comparison with azob…
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This study examines excitation energy transfer during gamma radiolysis of three-component benzene solutions containing benzoyl peroxide and phenanthrene. The authors measured the initial rate of benzoyl peroxide decomposition over a wide range of phenanthrene concentrations and at three peroxide con…
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This note studies inductive and projective limits of locally convex spaces whose connecting maps are completely continuous, extending classes introduced by Sebastião e Silva that include many function spaces used in analysis. It proves that inductive limits of regular sequences of locally convex spa…
B. S. KRASIKOV and V. V. SYSOEVA
This study examines how the potential of zero charge of metals depends on the structure and composition of the metallic phase. Double-layer capacitance was measured by an alternating-current bridge method in acidified sodium sulfate solutions for single-crystal zinc faces and electrodeposited iron-n…

This study determines the potentials of zero charge of dilute sodium amalgams, a problem complicated by oxidation, decomposition in aqueous electrolytes, and polarization effects. Electrocapillary curves were measured in 1.0 N sodium hydroxide by a modified dropping-weight method with continuous sur…
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This paper investigates the internal conversion electron spectrum associated with the long lived europium isotopes Eu-152 and Eu-154, whose complex decay and possible rare earth contaminants had hindered reliable gamma transition identification. Using a double focusing beta spectrometer with careful…
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This study examines the liquid phase oxidation of cumene by molecular oxygen in emulsions, focusing on how the aqueous phase ratio and different emulsifiers affect the formation of cumene hydroperoxide. Experiments at 80°C compared oxidation rates with varying cumene to alkaline aqueous phase ratios…
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This note studies Tauberian questions for generalized Fourier, or Bochner-Stieltjes, transforms associated with functions of locally bounded variation whose growth is controlled by a parameter n. It asks what asymptotic information about the spectral function can be inferred from differentiability p…
V. M. KNYAZHEVA and Ya. M. KOLOTYRKIN
The study examines anodic passivation of pure chromium in sulfuric acid solutions of varying concentration using potentiostatic polarization measurements and chemical analysis of dissolved chromium species. It determines the dependence of steady dissolution rate on potential, identifying active diss…
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This study measures the partial vapor pressures of gold, silver, and copper over solid Au-Ag and Au-Cu alloys using a modified Knudsen effusion apparatus with radioactive isotopic tracers. Condensed evaporates were chemically separated and quantified by activity measurements, allowing calculation of…
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This paper derives dispersion relations for Compton scattering of photons on nucleons, treating the leading term proportional to the square of the electromagnetic charge and retaining strong interactions in the variational derivatives. Using causal, retarded, and advanced matrix elements of the scat…
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This paper proposes a shock tube method for testing high temperature gas equations of state and for estimating dissociation or ionization energies. Instead of relying only on shock wave or reflected wave measurements, the method measures the angle of an attached oblique compression shock formed on w…
V. V. URUSOV
This study reexamines the thermal dehydration of orthoboric acid to boric anhydride using thermographic measurements under controlled external pressures from 740 to 10 mm Hg. The results show that the dehydration pathway depends strongly on pressure: it proceeds in two stages at 740 to 65 mm Hg thro…
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The paper applies Kantorovich’s general theory of approximate methods to the perturbative determination of eigenvalues and eigenvectors of completely continuous operators in related normed spaces. By reformulating the normalized eigenvalue problem as a nonlinear functional equation, it derives condi…
The scalar product is usually introduced as the sum of the products of the components of vectors with the same names
This note proposes a finite set construction from which the usual scalar product emerges as a limiting notion. It defines components, grains, symmetric grains, superposition, and a combinatorial measure of closeness between grains, then considers structures with a fixed number of elements per compon…
Yu. V. MITIN and N. A. GLUKHOV
This study examines the polymerization behavior of bifunctional aromatic compounds containing two isopropenyl groups under conditions analogous to ionic dimerization of alpha-methylstyrene. The authors synthesized and characterized 1,4-diisopropenylbenzene, 4,4′-diisopropenyldiphenylmethane, and 4,4…
We shall consider the Cauchy problem for the equation
The paper studies the Cauchy problem for a nonlinear parabolic equation of the form u_t equals the second spatial derivative of a function of time, space, and u, including equations of nonstationary filtration that may degenerate when the solution vanishes. It defines a generalized solution through …
V. P. MASHOVETS, M. S. BELETSKII, Yu. G. SAKSONOV, and R. V. SVOBODA
This paper examines the occurrence of an equimolecular sodium aluminum fluoride compound in the NaF, AlF3 system, where previous phase studies had generally recognized only cryolite and chiolite. Sublimates from cryolite and alumina melts in argon, especially from melts enriched in aluminum fluoride…
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This paper examines how second harmonic terms in the Fourier expansions of stator inductances and mutual inductances affect the transformed equations of transient electromechanical processes in a salient-pole synchronous machine. Starting from phase-coordinate voltage, flux linkage, and torque equat…
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This paper studies sharp radius bounds under which normalized univalent holomorphic functions in the unit disk map subdisks to convex, starlike, or generalized starlike domains. Extending results of Nevanlinna, Grunsky, and Goluzin, it derives bounds for disks with arbitrary Euclidean or non-Euclide…
Z. S. Agranovich and V. A. Marchenko
This note studies the inverse scattering problem on the half-line for a system of second-order differential equations with a Hermitian matrix potential satisfying a first-moment integrability condition and Dirichlet boundary condition at the origin. Using a direct Marchenko-type approach, it derives…
N. M. Emanuel’ and E. T. Denisov
This paper examines whether benzene, normally resistant to direct oxidation and prone to deep combustion in the gas phase, can be oxidized to phenol in the liquid phase near its critical temperature. Autoclave experiments at 230 to 270°C and elevated pressure tested uncatalyzed oxidation, cobalt ste…
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This paper reports measurements of the temperature dependence of the thermal conductivity of purified tellurium from 10 to 500 degrees, using pressed fine-crystalline samples and a flat compensation method in vacuum, with supplementary heat-capacity measurements. The conductivity decreases to a mini…
P. E. NEMIROVSKII
This paper addresses why measured inelastic interaction cross sections of antiprotons with nuclei at 300 to 500 MeV exceed corresponding nucleon cross sections, especially when a sharp-edged nuclear model would predict near saturation. It models antiproton absorption using geometrical optics with se…
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This paper applies Volterra’s integral method to the linearized problem of supersonic flow past axisymmetric surfaces that differ slightly from a circular cylinder. Through transformations of the Volterra representation, the boundary-value problem is reduced to a linear Volterra integral equation of…
E. L. GEFTER and M. I. KABACHNIK
This paper reports a method for preparing vinyl esters of phosphorus acids by reacting phosphorus acid chlorides with acetaldehyde and triethylamine under cooling and reduced pressure distillation. The authors synthesize a series of substituted phosphorous and phosphinic acid vinyl esters, including…
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This paper examines alpha decay among medium atomic weight elements in the neutron range N = 82 to 126, where small decay energies and competing electron capture or positron decay often hinder observation. Alpha-active isotopes were produced by irradiating erbium, ytterbium, and hafnium with 70 to 6…
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This paper studies the maximal number of limit cycles for a planar differential equation whose nonlinear terms are homogeneous polynomials of degree n and whose origin is a singular point of the second group. By reducing the equation through linear and polar transformations, expanding the solution i…
L. S. RAKOVSHCHIK
This paper examines why Chaplygin’s inequality theorem for a single first-order differential equation does not directly extend to systems of first-order differential equations. After giving a counterexample, it formulates additional conditions on comparison functions under standard continuity and Li…
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This paper studies linear systems of equations in total differentials with coefficient matrices depending separately on two parameters and satisfying a commutativity condition, with emphasis on periodic coefficients and stability of the zero solution. It establishes properties of integral matrices, …
T. A. GERMOGENOVA
This note studies bounded solutions on a semi-infinite interval for an inhomogeneous convolution-type integral equation with symmetric kernel, extending earlier treatments that required stronger integrability and decay assumptions. Under square-integrability conditions on the kernel and free term, a…
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This study examines the thermodynamic properties of austenite by measuring the vapor pressure of iron over iron, carbon alloys, addressing discrepancies between earlier gas equilibrium measurements and prior Knudsen vapor pressure results. Using the Knudsen method with radioactive Fe59, vapor pressu…
A. I. ROZLOVSKII
The paper analyzes critical conditions for ignition of combustible gas mixtures by heated solid bodies, revising earlier thermal ignition criteria to account for depletion of the deficient reactant near the surface, reaction order, diffusion effects, and surface curvature. It derives modified expres…
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The paper examines the decay of a quasistationary quantum state through the relation between the survival amplitude and the energy distribution of the initial state, emphasizing the consequences of the spectrum being bounded below. It derives dispersion relations connecting the real and imaginary pa…
N. E. Podkletnov
This paper examines the individual aromatic hydrocarbon composition of gasoline fractions boiling up to 175 degrees from three northeastern Sakhalin crude oils: East Ekhabi, Ekhabi, and Paromai. Aromatic fractions were separated by silica gel chromatography, precisely fractionated, and analyzed usin…