V. P. PAVLOV and G. V. VINOGRADOV
This study examines the elastic strength properties of plastic disperse systems and their relation to thixotropy, focusing on shear modulus and yield stress in lubricating greases. Using a concentric cylinder elastoviscosimeter with rigid and soft dynamometers, the authors measured stress deformatio…
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This paper examines the stability of a compressed elastic circular rod using the full mathematical theory of elasticity rather than the simplifying assumptions of strength of materials. Starting from the uniformly compressed cylindrical state, it formulates infinitesimal neighboring equilibria, deri…
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This study examines how cation radius, valence, concentration, temperature, and load affect boundary layers of alkali and alkaline earth chloride solutions confined between negatively charged quartz surfaces. Using measurements of disk approach and separation, the authors determine boundary-layer th…
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This study examines how phase composition affects the surface structure of electrodeposited alloy coatings, focusing on systems in which supersaturated solid solutions may form during electrocrystallization. Copper-bismuth, copper-tin, and tin-lead deposits were prepared from simple acidic electroly…
Let us consider the system of differential equations
This paper studies a boundary value problem for uniformly elliptic first order linear systems in a simply connected planar domain, with Hölder continuous oblique real boundary condition. The system is reduced by complex notation and conformal mapping to a generalized Beltrami type equation in the di…
S. R. SERGIENKO, L. N. KVITKOVSKII, A. L. TSEDILINA and Al. A. PETROV
This paper reports the synthesis of high molecular weight hydrocarbons intended as model compounds for studying the structural group composition of heavy petroleum fractions. The authors prepared a series of previously undescribed C24 to C32 hydrocarbons with mixed aliphatic, cycloaliphatic, aromati…
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M. E. ZHABOTINSKII and P. E. ZILBERMAN
This paper analyzes the fluctuation limit of frequency stability in practical quartz oscillators, emphasizing the distinct time constants of the regenerated circuit and the quartz resonator. Using symbolic differential equations and the method of a small parameter, the authors derive fluctuation equ…
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This paper studies two-dimensional diffraction of sinusoidal waves by a wedge whose faces satisfy impedance boundary conditions, with particular attention to incidence at the Brewster angle and to surface-wave excitation. Using a Sommerfeld integral representation, the author reduces the boundary co…
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This study examines radiation-induced transformations in the mixed polyamide anid G-669, focusing on whether ionizing radiation causes simultaneous cross-linking and degradation. Polyamide plates were irradiated with X-rays in air and vacuum, then evaluated by thermomechanical measurements, solubili…
P. G. IVANOV and A. A. BALANDIN
This paper investigates the appearance of charged particles in hydrogen and hydrocarbon vapors in contact with heated metallic surfaces possessing catalytic properties. Using a sealed electrode apparatus with palladium, aluminum, copper, and carbon surfaces, the authors measured gas ionization indir…
A. N. RODIONOV, D. N. SHIGORIN, T. V. TALALAEVA
This study examines the infrared absorption spectra of several alkyl and aryl lithium compounds in vapor, crystalline, and solution states to clarify the nature of the carbon-lithium bond and molecular association. The authors assign a band near 1050 cm-1 to the stretching vibration of the free carb…
P. A. AKISHIN, L. V. VILKOV and V. M. TATEVSKII
This study examines the spatial configuration and geometrical parameters of the chloroprene molecule, with particular attention to the arrangement of its conjugated double bonds and possible rotation about the central carbon-carbon single bond. Fast electron diffraction patterns of chloroprene vapor…
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This paper studies boundedness and global stability of a class of nonlinear differential equations arising in indirect automatic control with one scalar nonlinearity satisfying a sign condition. Using Lur’e’s Lyapunov method and resolving equations, it derives conditions for continuability, boundedn…
A. V. TOPCHIEV and L. A. ADLYAVLINA
This study examines gas phase polymerization of isobutylene at atmospheric pressure using boron fluoride supported on activated carbon, with attention to temperature, space velocity, support effects, and catalyst lifetime. Experiments showed that increasing temperature or space velocity reduced the …
G. A. Gurzadyan
This paper proposes a “lunar” radio interferometer in which radio waves from a compact cosmic source reach Earth both directly and after refraction in the Moon’s rarefied ionosphere, allowing the Moon to act as an effective second antenna. The author derives expressions for the received intensity as…
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The paper develops general criteria for the existence of subgroups and factorizations in finite groups using divisors associated with the indices of a chief series. It introduces indexials and directed indices, proving that an indexial yields a subgroup whose order differs only by primes already div…
O. V. SARMANOV
This paper extends the notion of a maximal correlation coefficient to the nonsymmetric case of two random variables with a joint density on a rectangular, possibly infinite, domain. Using Hilbert-Schmidt theory, it associates the nonsymmetric density with two symmetric kernels having the same eigenv…
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This study examines how chemisorption of atoms and radicals affects the electrical conductivity of n-type semiconductor films, chiefly ZnO and TiO2, in comparison with molecular chemisorption. Atomic hydrogen and nitrogen were produced by discharge or gamma irradiation, while methyl radicals were ge…
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The paper studies extremal problems for normalized quasiconformal mappings of the disk, where a differentiable real functional depends on the images of finitely many prescribed points. Using a variational method applied to the complex characteristic of the inverse mapping, it derives necessary extre…
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I. A. Kazarnovskii, N. P. Lipikhin and M. V. Tikhomirov
This study examines oxygen isotopic exchange between free hydroxyl radicals and water, a problem relevant to radiation chemistry and oxidative reaction mechanisms. Potassium ozonide decomposition in water enriched with oxygen-18 was used as a source of hydroxyl radicals, and the isotopic composition…
G. S. Vozdvizhenskii, G. A. Gorbachuk, and G. P. Dezider’ev
This paper examines the mechanism of electrolytic polishing of metals, focusing on whether polishing proceeds through two distinct stages in which structural etching is first produced and then suppressed. Polycrystalline copper specimens were electropolished in phosphoric acid for different duration…
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This paper examines color phenomena in newly prepared N-phenylglycyl derivatives of alpha-aminoanthraquinone, treated as systems containing an anthraquinone electrophilic chromophore and two electron-donor systems that are not mutually conjugated. A series of phenyl, tolyl, methoxyphenyl, and naphth…
A. Ya. Gokhshtein and Ya. P. Gokhshtein
A polarographic method is described for studying anodic and cathodic films on a dropping mercury electrode through discrete current pulses observed at constant potential. Experiments with several 0.1 N electrolytes show reproducible pulse patterns whose potential ranges, amplitudes, durations, and f…
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This note extends Sobolev embedding theorems to spaces of functions whose generalized derivatives of order l belong to Orlicz spaces generated by complementary N-functions. It defines the spaces, quotient structure modulo polynomials, and equivalent norms, then establishes embedding and compactness …
Corresponding Member of the USSR Academy of Sciences S. V. Vonsovskii and M. S. Svirskii
This paper develops a many-electron model of metallic superconductivity that incorporates crystal structure into the treatment of interacting outer electrons. Starting from a second-quantized Hamiltonian, the authors derive an electron spectrum with transfer integrals, introduce electron-phonon coup…
E. N. BLINOVA and S. L. BELOUSOV
This paper presents a hydrodynamic method for nonlinear, nonstationary long range forecasting of planetary scale pressure fields at the middle atmospheric level. The authors formulate the problem through the spherical vorticity transport equation for the stream function, introduce an auxiliary funct…
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This note studies when a category of structures can be represented, in the stronger sense of structural equivalence, by a subclass of algebras of a fixed type. It develops conditions involving free structures, homomorphic closure, additivity, boundedness, regularity, divisible homomorphisms, and fin…
A. P. TERENT’EV and M. N. PREOBRAZHENSKAYA
This paper proposes a method for preparing indoles substituted in the benzene ring, motivated by the difficulty of existing Reissert, Fischer, and Bischler syntheses for such compounds. The approach reduces indole or its homologs to indolines, introduces substituents into the benzene nucleus by ordi…
B. F. Shorr
This paper examines how nonuniform heating affects the time-dependent redistribution of stresses in parts operating under high temperature and creep conditions. Using a hardening-based creep law, it develops an incremental calculation scheme that allows for stresses of either sign and possible stres…
K = c l^{4/3},
The paper addresses the calculation of horizontal turbulent diffusion of impurity patches in the sea, criticizing the common use of a constant diffusion coefficient and adopting the Richardson four thirds power law in which diffusivity depends on patch scale. Under assumptions of horizontal isotropy…
S. A. TELYAKOVSKII
This paper studies uniform approximation of periodic differentiable functions by de la Vallée Poussin sums, focusing on the worst case deviation over the classes of functions with bounded rth derivative and over their conjugate classes. It derives asymptotic formulas for these deviations as the poly…
B. A. ZAKHAROV, V. I. IVANOV, G. A. KRYLOVA, and N. G. VYUNOVA
This paper examines how molecular weight distribution, rather than average molecular weight alone, affects the physical properties of cellulose and cellulose-based fibers. The authors argue that cellulose homogeneity should be characterized by the concentration of material near the maximum of the ma…
Corresponding Member of the Academy of Sciences of the USSR A. P. Terent’ev and M. N. Preobrazhenskaya
This paper addresses the synthesis of indole derivatives containing divalent sulfur in the benzene ring, a class of compounds previously difficult to obtain by standard indole syntheses and of interest because of the physiological activity of related indole compounds. The authors apply a route based…
I. R. Krichevskii, N. E. Khazanova, and L. R. Linshits
This study examines molecular diffusion near the critical region of ternary solutions, where theory suggests that a minor third component should continue to diffuse while diffusion of the two principal components is strongly reduced. Using the capillary method, the authors measured diffusion in the …
V. A. ROKHLIN
This note studies the image of the natural homomorphism from the group of internal homologies to the group of internal homologies modulo 2, using the known Thom and Dold description of the unoriented cobordism algebra by generators. Rokhlin proves that several conditions on a manifold are equivalent…
M. I. KADEC
The paper studies the relation between weak and strong convergence in Banach spaces and proves that every separable Banach space admits an equivalent norm for which weak convergence together with convergence of norms implies norm convergence. The proof is first carried out for the space of continuou…
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This study examines adsorption of benzene and n-hexane vapors on quartz, motivated by the relation between quartz surface chemistry and silica adsorbents and by the need to separate polymolecular adsorption from capillary condensation effects. Using adsorption calorimetry, the authors measured adsor…
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S. N. VERNOV, V. F. TULINOV, and A. N. CHARAKHCHYAN
This paper examines recurrent variations in cosmic ray intensity in the stratosphere associated with solar rotation, using balloon borne RK-1 radiosonde measurements conducted during 1957 and early 1958 at geomagnetic latitudes near Moscow and in the Murmansk region. The authors describe the instrum…
A. V. Bogdanova, M. F. Shostakovskii, and G. I. Plotnikova
The study examines the addition of ethyl mercaptan to diacetylene and the properties of the sulfur-containing products formed. Experiments under alkaline, acidic, thermal, and radical-initiated conditions showed that ethyl mercaptan first gives ethynylvinyl thioethyl ether, followed by addition of a…
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This paper studies generalized minimizers of multidimensional variational integrals whose integrands depend on the first derivatives and satisfy growth, ellipticity, and differentiability assumptions of order p at least 2. Using difference quotient arguments and weak variational identities, it estab…
The expansion formulas for the boundary-value problem on the half-axis
This note develops expansion formulas for non-self-adjoint singular differential operators on the half-axis, generalizing Weyl’s spectral representation for self-adjoint boundary-value problems. It introduces spectral functions as generalized functions on a space of even entire functions of exponent…
I. Ya. BAKELMAN
This paper addresses Aleksandrov’s problem of defining a class of irregular surfaces in three-dimensional Euclidean space whose intrinsic metrics have bounded curvature while also including smooth surfaces of bounded extrinsic curvature, general convex surfaces, and DC surfaces. The author replaces …
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This study examines the radiolysis of calcium nitrate tetrahydrate under gamma irradiation from cobalt-60, comparing its behavior with anhydrous calcium nitrate, melts of the hydrate, and concentrated aqueous solutions. Samples irradiated in vacuum at 25 degrees C were analyzed for nitrite and oxyge…
O. DOVZHENKO, V. ZATSEPIN, E. MURZINA, S. NIKOLSKY,
This paper reports high-altitude measurements of extensive atmospheric showers of cosmic radiation conducted in 1955 using hodoscopic counters, underground penetrating-particle detectors, a Wilson chamber, and ionization chambers with variable filters. The study determined shower axes and particle n…
L. B. RADINA, Z. V. PUSHKAREVA, and Z. Yu. KOKOSHKO
This study examines why substituents appear to affect dissociation into free nitrogen radicals differently in tetraarylhydrazines than in related hexaarylethanes and diaryl nitrogen oxides. The authors synthesized selected di- and tetrasubstituted hydrazines and investigated them by polarographic re…
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Observations made in October and November 1957 in the Libyan Desert near Aswan examined atmospheric transparency, sky brightness, and polarization under cloudless desert conditions. Using solar radiation measurements and visual photometry with a yellow filter and polaroid, the study found unusually …
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The paper proposes a method for solving finite difference equations arising from the planar Dirichlet problem by using a normal sequence of signs. It first proves a theorem on the asymptotic frequency with which variable length combinations from a prescribed set occur in a normal sequence, under con…