B. I. Birman, B. L. Timan
This paper analyzes conditions that produce prescribed impurity distributions in crystals during directional crystallization when impurity transport in the melt is governed by one-dimensional diffusion. Instead of solving the direct problem with fixed initial and boundary conditions, the authors for…
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This paper addresses the lack of high temperature heat capacity data for molten metals by presenting a modulation method for measuring liquid metals in thin niobium capillary ampoules under vacuum. Alternating current heating produces small temperature oscillations, whose amplitude is determined pho…
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This paper studies one-dimensional singular integral equations on a closed smooth contour when solutions are sought not only as functions in a basic countably normed space but also as generalized functions in its dual. It formulates solvability criteria for the nondegenerate case and for cases in wh…
V. P. Rudakov
A. N. Murin, I. S. Kirin, V. D. Nefedov, S. A. Grachev,
This paper examines whether chemical changes accompanying beta decay can be used to synthesize and detect xenon compounds, focusing on iodine-131 incorporated in potassium iodate and periodate crystals. The authors prepared radioactive iodide, iodate, and periodate salts, accumulated xenon-131m deca…
E. N. Viktorova, V. V. Zelinskii
This paper examines how the probability of radiationless deactivation in excited complex organic molecules is related to spectral characteristics, rather than to fluorescence quantum yield alone. Using measured fluorescence yields and excited-state lifetimes for diverse compounds in different solven…
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The paper establishes a general uniqueness theorem for the Cauchy problem for systems of differential equations with constant coefficients, extending earlier results to systems of reduced order greater than one under exponential growth bounds involving slowly increasing functions satisfying a diverg…
A. A. Kirillov
E. I. Klabunovskii, Academician A. A. Balandin,
This paper develops a stereochemical approach to probing the geometry and microroughness of catalyst surfaces through hydrogenation of rigid triptycene derivatives. The authors argue that hydrogenation of molecules whose reactive double bond is sterically buried requires protruding active centers wi…
È. A. Kuz'min, N. V. Belov
This paper determines the crystal structures of synthetic lanthanum and samarium silicates previously assigned different stoichiometries in the La2O3, SiO2 and Sm2O3, SiO2 systems. X-ray powder and Weissenberg data, Patterson and electron-density syntheses, and least-squares refinement show that the…
A. K. Boyarchuk
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This note determines the local minima of the density of lattice coverings of four-dimensional Euclidean space by equal spheres, expressed as a function of the scalar products in a reduced Selling frame. The argument uses the simplicial L-decomposition of a lattice and proves a necessary extremality …
R. N. SHCHERBAKOVA, V. A. OGAREV
This study examines polydimethylsiloxanes of varying molecular weight as model organosilicon polymers, focusing on monolayer behavior, adsorption on white carbon black, filler dispersion, and the rheology of filled pastes. Measurements of surface pressure on water, adsorption from hexane, electron m…
A. V. IVANOV
This paper investigates the density field near the forward stagnation point of blunt bodies in a Mach 6 rarefied air flow, where thickening of the boundary layer and detached shock may create a continuous nonisentropic region. Using an electron-probe density measurement method in a low-density aerod…
G. V. Vinogradov, V. A. Mustafaev, Yu. Ya. Podolsky,
This study examines how external friction of polymers changes with temperature during transitions from glassy or crystalline states to highly elastic and fluid states, with particular attention to surface melting. Using a specially developed vacuum tribometer, the authors measured steel on polymer f…
R. G. KOSTYANOVSKII, A. K. PROKOF’EV
This study examines whether geminal aminomethylstannanes can form three-membered rings through an intramolecular coordination bond from nitrogen to tin. A series of tin-containing geminal derivatives was synthesized and characterized by elemental analysis, NMR, IR, mass, UV, molecular weight measure…
1. Consider the boundary-value problem
The paper studies finite difference refinement methods using higher order differences for the Dirichlet problem for the Poisson and Laplace equations. For rectangular domains and for domains with sufficiently smooth boundaries, it derives improved representations of the refined grid solutions and sh…
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This note studies when the topology of a Banach space generated by a fixed sequence is determined by the numerical coefficient sequences for which the corresponding series converges. It gives a criterion, using positive inclination between spans of complementary subsequences, for a sequence to be an…
E. M. KHAZEN
This paper develops a nonlinear analysis of the onset of turbulence in a viscous incompressible flow with a constant gradient of the mean velocity. Starting from the Navier Stokes equations in Fourier space, it studies finite-amplitude vortex disturbances by successive approximations, derives estima…
E. N. TSVETKOV, G. K. SEMIN, D. I. LOBANOV,
This paper examines whether nuclear quadrupole resonance frequencies of halogen nuclei in compounds of the type RHal correlate with substituent parameters and with the dissociation constants of corresponding carboxylic acids RCOOH. Using literature and original NQR data, mainly at 77 K, together wit…
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This paper examines polymerization, depolymerization equilibrium from the thermodynamic viewpoint, focusing on whether macromolecules should be treated as components of a homogeneous solution or as particles of a separate phase. Starting from reversible chain-growth equilibria, it argues that for hi…
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This paper reports the formation of glass-like states in ternary semiconductor compounds of the type AII BIV C2V, a class structurally related to diamond-like semiconductors in which vitrification was not previously characteristic. The authors describe observations on quenched melts, especially CdGe…
M. D. Ramazanov
The paper develops a class of function spaces \(V_p\), defined through dyadic Fourier decompositions, for use in boundary value problems for parabolic equations. It establishes embeddings and comparison estimates with Sobolev spaces, proves trace and extension theorems, and gives multiplier and mult…
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This paper investigates whether Barkhausen-type repolarization jumps in ferroelectric crystals can be produced by homogeneous mechanical stress rather than by an applied electric field. Experiments on Rochelle-salt plates subjected to controlled compressive stresses showed voltage pulses and jump di…
L. T. Gvozdeva, O. A. Predvoditeleva
This paper reports an experimental study of irregular, Mach reflection of strong shock waves in carbon dioxide, nitrogen, and air at incident velocities of about 1000 to 3000 m/sec. Using a shock tube, wedge reflectors of several apex angles, Schlieren visualization, high-speed photography, and stre…
b) the headings of the last two columns of the table should read:
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This paper treats the determination of small free longitudinal vibration frequencies in finite rectilinear chains composed of diatomic and triatomic molecules under exact boundary conditions. Using previously introduced polynomial systems satisfying recurrence relations, the equations of motion are …
A. I. MIKHAILOV, I. S. GAPONOVA, Ya. S. LEBEDEV
This study examines whether radical states can migrate through solid organic matrices at temperatures far below melting, a question important for understanding solid-phase radical reactions. Radicals were generated at powder surfaces by a high-frequency discharge at about 77 K and monitored by EPR, …
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This note proves a new D-theorem for finite groups concerning Hall subgroups relative to a set of primes. The main result states that if a normal subgroup has a Hall subgroup whose Sylow subgroups are cyclic, and the corresponding quotient satisfies a D-condition with an Ore-dispersive Hall subgroup…
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The study examines the dynamic viscoelastic properties of several amorphous and crystalline polymers in the viscous flow state at sound frequencies, using a frequency rheometer to measure complex shear modulus, dynamic viscosity, and mechanical loss. Measurements on polyisobutylene, high and low pre…
A. Guichardet (France)
This paper studies tensor products of \(C^*\)-algebras by introducing a norm defined through representations of the algebraic tensor product arising from commuting representations on a common Hilbert space. It shows that this norm is the largest \(C^*\)-cross norm with the standard tensor product pr…
K. S. Sibirskii
Corresponding Member of the Academy of Sciences of the USSR N. K. Kochetkov, A. Ya. Khorlin, A. F. Bochkov
This paper examines the application of the orthoester method for forming glycosidic bonds to the synthesis of disaccharides with glycopyranosidic linkages. Sugar orthoacetates were condensed with protected sugar alcohols in boiling nitromethane in the presence of catalytic mercury bromide, giving pr…
V. S. BLINCHEVSKII
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This paper studies mass relations in the SU(3) octet model when physical particles may arise from mixing among a finite number of unitary multiplets. Using tensor-operator transformation properties and a graph-theoretic representation of irreducible multiplets in the hypercharge and isospin plane, i…
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The paper develops a general method of characteristic coefficients for comparing distribution functions relative to a fixed continuous strictly increasing distribution function. By transforming the real line to a finite interval and using Fourier and Chebyshev expansions, it represents the differenc…
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This paper examines the conversion of quaternary salts of beta-alkoxypropenyl heterocyclic bases into beta-alkoxy-substituted polymethine hemicyanine dyes. It describes condensations with orthoformate and amines, isoformanilide, diphenylformamidine, and aldehyde dianils, giving tetramethine and high…
V. A. TABUEVA
Ya. M. Kolotyrkin, L. I. Freiman
This study examines whether iron, like other passivating metals, exhibits a critical activation potential in halide-containing solutions, a question complicated by conflicting earlier results in acidic media. Using mainly nonstationary potentiostatic polarization measurements, with supporting galvan…
N. G. Basov, R. V. Ambartsumyan, V. S. Zuev, P. G. Kryukov, V. S. Letokhov
The paper analyzes the propagation of an intense light pulse through a two-level medium with inverse population, focusing on nonlinear amplification when the pulse energy density is sufficient to deplete the inversion. Using radiation-transfer rate equations, it argues that preferential amplificatio…
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This paper studies the algebraic structure of fields of Siegel modular functions, with emphasis on determining when such fields fail to be rational function fields. The authors use plurigenera as birational invariants, asymptotic dimension formulas for scalar and vector-valued automorphic forms, and…
Yu. M. Ryzhmanov, Yu. V. Yablokov, B. M. Kozyrev, R. O. Matevosyan, L. I. Stashkov
This paper investigates intramolecular exchange interactions between unpaired electrons in hydrazine-series biradicals containing two hydrazyl groups, using electron paramagnetic resonance spectra of oxidized solutions in dioxane. The authors compare experimental hyperfine structures with calculated…
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The paper develops a theoretical treatment of polarization curves for suspension electrodes, in which metal powder particles transfer charge during collisions with a polarized current collector and then consume that charge in electrochemical reactions. Equations are derived for the suspension-carrie…
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This paper studies minimization of a smooth functional on a closed bounded convex subset of a Banach space, deriving first and second order conditions for local minima under convex constraints. It defines stationary points through a variational inequality involving the gradient, proves this conditio…
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This paper examines how nonmagnetic, electric impurities affect the critical temperature of a two-band superconductor, in contrast to the one-band result that such impurities have little influence. Using a Fröhlich Hamiltonian, impurity-averaged Green’s functions, and a weak-coupling treatment of th…
M. S. BARVINOK, I. S. BUKHAREVA
This study examines how the cation and anion in salts affect the state of the coordinated amino group in aniline complexes of cobalt, nickel, copper, and zinc sulfates and halides. Infrared absorption spectra were measured for compounds of the types metal sulfate with two aniline molecules and metal…
K_{n,q}(z)=
The paper studies the arithmetic function K_{n,q}(z), which counts bounded integer solutions of a linear congruence and is connected with the size of certain asymmetric error-correcting codes. Using generating functions, recurrence relations for coefficient sums, and auxiliary inequalities for cycli…
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This paper studies Blaschke’s problem for quasi-translation surfaces in three-dimensional quasi-elliptic space, equivalently two-parameter motions of the Euclidean plane that decompose into products of one-parameter motions in more than one way. Using the notions of quasi-conjugate and Chebyshev net…
V. V. Arsenin
This paper analyzes drift and flute instabilities of a rarefied inhomogeneous plasma in finite magnetic traps that are long for ions but short for electrons, so that electrons respond to the perturbing field averaged along the trap. Using modified charge density expressions and dispersion relations …
A. R. Shakun
This bibliographic notice surveys recently published books and journal articles relevant to differential equations, boundary value problems, mathematical physics, integral equations, numerical methods, and stability theory. It lists monographs, lecture texts, edited proceedings, and research papers …