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This note extends a uniqueness theorem for entire Dirichlet series with increasing exponents to the case in which the exponents satisfy asymptotics of the form λn comparable to c n1/q times a slowly increasing factor, with 1 < q < 2. Using Young conjugate functions to describe the corresponding grow…
Unknown
The paper studies unitary representations, with respect to an indefinite scalar product, of locally compact groups in spaces of finite rank of indefiniteness, with emphasis on the complex unimodular group of second order, locally isomorphic to the Lorentz group. It develops auxiliary results on irre…
Unknown
This study investigates the activation of weak chemiluminescence during hydrocarbon oxidation by anthracene and 9,10-substituted anthracene derivatives. Oxidation of cyclohexane and ethylbenzene in benzene, initiated by azobisisobutyronitrile decomposition, was examined spectrally and kinetically wi…
V. I. FISTUL, M. G. MILVIDSKII, E. M. OMELYANOVSKII, S. P. GRISHINA
This paper investigates the form in which Group V donor impurities occur in heavily doped n-type single crystals of silicon and germanium. By comparing Hall-effect carrier concentrations with total impurity concentrations measured by radioactivation analysis, and by using metallographic, mass-spectr…
B. V. Kuksenko
This paper proposes a computational method for rarefied gas aerodynamics that reduces the difficulty of solving integral kinetic equations involving functions of many variables. Using a Hermite polynomial expansion of the distribution function, the author derives nonlinear integral equations for den…
R. K. Mazitov
This study examines whether hydrogen nuclei leave the first hydration sphere of aqueous manganese(II) ions through proton chemical exchange or through exchange of whole water molecules. Longitudinal and transverse NMR relaxation times of protons and deuterons were measured by spin echo methods in a …
B. S. BRUDOVSKII
This paper addresses two questions posed by Dieudonné concerning locally convex spaces with a fundamental sequence of compact sets, namely whether a barrelled or bornological space with this property must coincide with the strong dual of a Fréchet-Montel space, and whether the result extends to infr…
Yu. V. GORYUNOV, B. D. SUMM, E. D. SHCHUKIN, P. A. REHBINDER
This paper analyzes kinetic limitations on the adsorptional lowering of metal strength in the presence of adsorption active liquid metals. The authors argue that embrittlement requires not only a thermodynamic reduction of surface energy, but also sufficiently rapid delivery of liquid metal atoms to…
Kh. L. Arvan, A. N. Terenin
This study examines photosensitized photoreduction of thiazine dyes, chiefly methylene blue and thionine, in oxygen-free sols and solutions where the medium or an added reagent acts as the reducing agent. Using spectrophotometric measurements after filtered irradiation, the authors compare dye bleac…
S. P. ZHDANOV, A. V. KISELEV, V. I. LYGIN, T. I. TITOVA
This study examines changes in the infrared spectra of sodium and ammonium forms of zeolite X during thermal treatment in vacuum, with additional observations on deuterated samples. Pressed zeolite tablets were evacuated at increasing temperatures and analyzed by infrared spectroscopy to distinguish…
Unknown
The paper develops transference theorems in Diophantine approximation in which bounds are imposed on products of variables and fractional parts of linear forms, termed hyperbolic transference theorems, rather than on maxima as in the classical cubic case. Using a method based on estimates of trigono…
Unknown
This paper examines the hydrosilylation of propargyl chloride by trichlorosilane, methyldichlorosilane, and ethyldichlorosilane in the presence of chloroplatinic acid, with attention to the regiochemical order of addition. The experiments show that, unlike most monosubstituted acetylenes, propargyl …
O. V. Lokutsievskii
The paper addresses a problem of P. S. Urysohn asking whether there exists a continuum whose space of relative distances is zero-dimensional. It constructs such a continuum as an inverse limit of compacta in the Hilbert parallelepiped, using auxiliary plane continua and monotone nearly contractive p…
E. V. SOBOLEV, V. T. ALEKSANYAN, V. A. MIRONOV
This study examines the vibrational spectra of cyclopentadiene and isomeric monodeuterocyclopentadienes in order to clarify structural features connected with double-bond migration and electronic conjugation in the ring. Infrared spectra in liquid and gas phases and Raman spectra, including polariza…
Unknown
The paper examines stereospecific polymerization of trans-1-phenylbutadiene-1,3, a substituted diene whose bulky phenyl group is expected to influence the resulting polymer microstructure. Polymerization was carried out at 25 degrees with a TiCl4 and triisobutylaluminum catalyst in hydrocarbon solve…
Unknown
This paper examines stationary wind-driven ocean currents in a nonlinear barotropic model that includes both vorticity advection and horizontal turbulent friction. Using an asymptotic boundary-layer construction for small parameters with the scaling gamma equals a epsilon to the three halves, the au…
(MIROSLAV FIEDLER, VLASTIMIL PTÁK)
The paper studies the localization and computation of an eigenvalue of a complex block matrix whose off diagonal blocks are sufficiently small, so that an eigenvalue is expected near the scalar block entry. Using a determinant factorization via the Schur complement and bounds derived from a prescrib…
K. Andrianov
This paper examines the directed modification of high molecular compounds by introducing microquantities of elements or functional groups into inorganic polymer chains, particularly siloxane-based linear and branched polymers. Experiments tested additions of titanium, phosphorus, aluminum, boron, an…
A. I. VEKSLER
The paper studies Archimedean K-lineals in which every proper l-ideal is contained in a maximal l-ideal, a class introduced as MK-lineals and presented as a generalization of K-lineals with a strong unit. Using the representation of a K-lineal on its canonical bicompact space, the author characteriz…
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G. G. DEVYATYKH, G. K. BORISOV
This paper investigates the separation of stable silicon isotopes by thermodiffusion using monosilane as the working gas, motivated by the high cost of calutron separation and the weak isotope effect in monosilane rectification. Experiments were performed in a coaxial-cylinder metal thermodiffusion …
A. A. Chernenko, Yu. A. Chizmadzhev
This paper develops a probabilistic model of capillary equilibrium in a porous body, motivated by gas penetration in liquid-filled porous electrodes and the location of three-phase reaction boundaries. The porous medium is idealized as parallel pores composed of successive cylindrical cavities with …
L. A. KAZITSYNA, B. S. KIKOT’, L. D. ASHKINADZE, O. A. REUTOV
This study examines how substituents in substituted aryldiazonium chlorides affect the infrared stretching frequency and absorption intensity of the diazonium group. Frequencies of the N≡N absorption band were measured in several solvents and correlated with Hammett substituent constants, giving cle…
L. I. SEDOV, V. V. LOKHIN
The paper addresses how point symmetry groups of orthogonal transformations, relevant to textures, crystals, and physical tensor equations, can be characterized through invariant tensor quantities. It argues that the geometric symmetry of such systems can be specified uniquely and completely by a sm…
S. I. Krichmar
This paper develops a theoretical treatment of the cathodic growth of filamentary silver crystals in electrolytes containing surface-active impurities. Starting from impurity effects on two-dimensional nucleation, diffusion of metal ions and impurity molecules, adsorption, and overvoltage relations,…
M. N. Preobrazhenskaya, N. V. Uvarova, Yu. N. Sheinker,
This paper examines the syn and anti isomerism of 3-arylhydrazones of 6-methylpiperidinedione-2,3, compounds encountered in work on biologically active tryptamine derivatives. The authors prepared a series of arylhydrazones by the Japp-Klingemann reaction and compared paired yellow benzene-soluble a…
M. A. AKIVIS
This paper studies multidimensional nonisotropic surfaces in conformal space that carry a net of lines of curvature, defined by the simultaneous canonical reduction of the angular metric and an invariant pencil of quadratic forms. Using conformal frames, the Darboux transfer to projective geometry, …
Unknown
This paper analyzes the possibility of obtaining population inversion, described as a negative temperature, in solutions undergoing fast reversible photochemical reactions whose equilibria differ strongly in the ground and electronically excited states. Using a four-level scheme, it derives conditio…
R. G. GREBENSHCHIKOV, N. A. TOROPOV, V. I. SHITOVA
This study investigates crystalline phases in the barium oxide, germanium dioxide system as analogues relevant to silicate chemistry and cement materials. Using solid state synthesis of multiple BaO to GeO2 compositions, combined with chemical analysis, X-ray diffraction at ordinary and elevated tem…
Unknown
This note studies testing hypotheses that an observed Gaussian process has zero trend or a known additive trend, focusing on when the induced probability measure with trend is absolutely continuous with respect to the zero-trend measure and on computing the corresponding likelihood ratio. Using a me…
A. I. GUSEINOV, K. I. KHUDAVERDIEV
This paper studies a one-dimensional mixed initial boundary value problem for a second order quasilinear hyperbolic equation with homogeneous boundary conditions. Using the Fourier method, it formulates sufficient conditions on the initial data, nonlinear term, parameter, and time interval for exist…
Unknown
This paper examines the selectivity and stereospecificity of hydrogenation of mono- and disubstituted acetylenic hydrocarbons on nickel, cobalt, palladium, platinum, and rhodium catalysts. Using kinetic measurements and gas-liquid chromatographic analysis of hydrogenation products, the authors disti…
Unknown
This paper studies singularities of fundamental solutions for homogeneous linear partial differential operators with constant real coefficients in three variables, focusing on cases where the associated algebraic characteristic geometry has real double singularities. Using local expansions of integr…
Unknown
This paper investigates how hydrostatic and quasihydrostatic pressure affects the electrical resistance and band gap of single-crystal p-type and n-type bismuth telluride, a layered narrow-gap semiconductor. Resistance measurements were carried out at pressures up to about 95 kbar, with temperature-…
Unknown
This paper investigates anomalous combustion behavior of ammonium perchlorate, especially the decrease in burning rate and onset of pulsating or extinguishing combustion at elevated pressures. Using thin tungsten-rhenium thermocouples, the authors measured temperature profiles in pressed specimens b…
Unknown
This paper develops an algebraic theory for first order elliptic systems on a closed Riemann surface, focusing on generalized constants, multiplicative generalized constants, and generalized analytic functions. It proves parity and existence results for generalized constants, establishes uniqueness …
I. A. MUKHTAROV
This study investigates the microwave rotational spectrum of the halogen-substituted ethane molecule F2HC-CDHF, with attention to hindered internal rotation and the possible isomeric states produced by rotation about the carbon-carbon bond. Using a gas radiospectroscope with electric molecular modul…
Unknown
This paper examines vertical air motions and turbulence structure in powerful cumulus and cumulonimbus thunderstorm clouds using flight measurements collected in 1959 to 1962 by an instrumented TU-104 aircraft at the Central Aerological Observatory. From recorded overloads, airspeed, pitch angle cha…
B. M. GUREVICH
This note gives sufficient conditions under which special automorphisms and special flows built over a Kolmogorov system are again K-systems. It proves that a special automorphism with an integer-valued roof function is a K-automorphism when the roof values are relatively prime and a specified decre…
B. I. SUKHORUKOV, V. I. POLTEV, L. A. BLUMENFELD
Using ultraviolet spectrophotometry over pH 1.8 to 12.5 and 20 to 80 degrees C, this study determines dissociation constants and thermodynamic ionization parameters for nucleic acid bases and nucleosides in ground and excited states. The authors compare acid and alkaline dissociation processes, note…
Unknown
The paper studies the three-dimensional diffraction of waves by an infinite prism with a convex polygonal base, focusing on the Green function for the wave equation with zero boundary conditions and on the singularities that determine high-frequency behavior for the corresponding Helmholtz problem. …
Unknown
This paper develops a thermodynamic model relating the structure of the surface layer of a pure liquid to surface tension, its temperature coefficient, molecular orientation, association, and layer thickness. Starting from the force balance for a stretched liquid film and using Frenkel’s expression …
Unknown
The paper studies rotational regimes in one degree of freedom systems that are small perturbations of Hamiltonian motion with slowly varying parameters and periodic potential forces. Using first approximation averaging methods, it derives equivalent evolution equations for the slowly varying energy,…
Unknown
This paper studies the spectrum of ordinary differential operators on the whole line with complex periodic coefficients, extending Floquet spectral analysis beyond the self-adjoint case. Using monodromy multipliers, conditional stability, Weyl-type approximate eigenfunctions, and resolvent kernel es…
Unknown
The paper classifies Riemannian and pseudo-Riemannian spaces of the first three lacunarities with maximal mobility under homothetic motions. Using known lacunar results for isometry groups and the differential equations defining infinitesimal homotheties, it relates the order of homothetic motion gr…
All spaces are assumed to be Hausdorff, all maps continuous and single-valued.
This paper studies quotient mappings of Hausdorff spaces, focusing on the failure of quotient maps to be hereditary and introducing pseudo-open maps as the hereditary quotient maps. It proves that pseudo-open images of metric spaces are exactly Fréchet spaces, gives related characterizations for loc…
D. A. BOCHVAR, I. V. STANKEVICH, A. L. CHISTYAKOV
This paper examines entropic formulations of the quantum uncertainty principle for canonically conjugate position and momentum, comparing them with the standard variance-based Weyl inequality. Using Fourier transform inequalities, including results of Babenko and the Riesz theorem, the authors argue…
O. I. EGOROVA, Corresponding Member of the USSR Academy of Sciences V. V. KORSHAK
Infrared absorption spectra were measured for carbyne and a series of polyynes obtained by oxidative polycondensation of acetylene derivatives, including phenylacetylene, para-diethynylbenzene, and para-nitrophenylacetylene. The spectra are interpreted in terms of terminal and disubstituted acetylen…
A. V. Byalobzheskii
This study examines how neutron irradiation affects oxide-film formation and corrosion of technical aluminum in flowing water near 96 to 100°C. Aluminum specimens exposed in a reactor to an integral neutron flux of 10^20 n/cm2 were compared with otherwise identical unirradiated specimens, using meta…
Unknown
This study examines the composition and structure of cobalt(II) halide complexes formed in anhydrous ethanol at very high chloride and bromide ion concentrations. Absorption spectra of CoCl2 and CoBr2 solutions containing varying amounts of LiCl or LiBr were measured with an SF-10 spectrophotometer …