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The paper studies decompositions of infinitely divisible probability laws without a Gaussian component, focusing on whether membership in the class of laws whose components are all infinitely divisible requires a finite or countable Poisson spectrum. It gives a negative answer by identifying two cla…
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This paper examines how nickel hydrides can initiate stereospecific polymerization of butadiene and proposes their conversion into soluble pi-allyl, specifically crotyl, nickel complexes as a key stage in active-center formation. Nickel hydrides prepared from anhydrous nickel chloride, ethylmagnesiu…
V. A. Katulin
This paper reports preliminary experimental studies of stimulated emission and laser generation in single-crystal gallium arsenide under optical excitation by a Q-switched ruby laser. A GaAs sample with cleaved plane-parallel reflecting faces was cooled or operated at room temperature, and its emiss…
M. L. GERVER, V. M. MARKUSHEVICH
This paper studies the inverse problem of determining a depth-dependent seismic wave velocity from a travel-time hodograph, using an idealized geometrical optics model reduced from a spherical Earth to a planar ray problem. The authors analyze the functions describing ray depth, horizontal distance,…
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This paper studies the stability of grid, or net, methods for elliptic boundary value problems under small perturbations of the discrete operator, rather than only perturbations of the right-hand side. Using a variational construction of the discrete Dirichlet problem, Friedrichs extension, and Kant…
Unknown
This paper examines self-ignition in systems where unbranched chain reactions proceed under nonisothermal, adiabatic conditions, focusing on chain-thermal explosions rather than purely thermal or isothermal chain ignition. Using model halogenation schemes for hydrogen, especially hydrogen chlorine a…
T. D. Takenov, V. F. Balakirev,
This study examines the hydrogen reduction at 1000 degrees C of manganese ferrochromite, MnCr0.25Fe1.75O4, and the phase equilibria of related MnCrxFe2-xO4 spinel solid solutions. Samples prepared by ceramic synthesis were analyzed by X-ray diffraction, gas phase equilibrium measurements, weight los…
V. L. ZAGUSKIN, V. E. KONDRASHOV
The paper proposes a domain-splitting variant of the sweep method for implicit finite-difference solution of one-dimensional heat-conduction and gas-dynamics problems when a full multidimensional time layer cannot conveniently be held in operative memory. The method transmits different interface dat…
Ya. V. Bykov
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This note studies completeness of systems of eigen and associated elements for polynomial operator pencils built from a completely continuous operator in a Hilbert space. It derives explicit resolvent expansions for an operator with a Riesz type basis of root elements and uses estimates on rays avoi…
Unknown
The paper studies a nonlinear free boundary problem for a harmonic function in a doubly connected domain inside the unit disk, with prescribed constant boundary values and prescribed gradient magnitude on the unknown inner boundary. Using conformal mapping to an annulus, the problem is reformulated …
A. P. RUDAKOV, M. I. BESSONOV, Corresponding Member of the Academy of Sciences of the USSR M. M. KOTON,
This paper examines high-temperature transformations in polyimide films prepared from several tetracarboxylic dianhydrides and diamines through polyamic acid intermediates. By monitoring weight loss, dielectric loss, infrared spectra, and mechanical properties during staged heat treatment, the autho…
L. A. Elyakova, A. K. Dzizenko, G. B. Elyakov
This study investigates the structures of two aromatic glycosides, acanthosides B and D, isolated from the roots of Acanthopanax sessiliflorum, a physiologically active plant of the Araliaceae family. Using elemental analysis, acetylation, acid, alkaline, and enzymatic hydrolysis, methylation, chrom…
B. I. Shapiro, V. M. Kazakova, Ya. K. Syrkin
The interaction of 4,4′-dinitrodiphenylmethane, 4,4′-dinitrodibenzyl, and trans-4,4′-dinitrostilbene with tetra-n-butylammonium hydroxide in dimethylformamide and acetonitrile was studied by electron paramagnetic resonance. The spectra and supporting low-potential electrolysis experiments indicate t…
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This note outlines a mathematically rigorous proof of phase transition for the two-dimensional and three-dimensional Ising models at low temperature and intermediate density, expressed through an explicit sufficient condition involving a function Q(T). The argument replaces analytic methods with a q…
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The paper formulates the Cauchy problem for the linearized Boltzmann equation in an \(L_2\) framework, using the Fourier transform in spatial variables and treating the resulting equation as an abstract Cauchy problem with a dissipative collision operator. Under stated spectral, compactness, and reg…
A. A. LORENTS
This note studies coefficient-free equations in free groups, defined as equations in which each unknown or its inverse occurs and no coefficients from the ambient group are used. It proves that every solution of a normal coefficient-free equation in n unknowns over a free group of rank at least n is…
Unknown
The paper studies functors on categories of Banach spaces generated by KB-lineals. It defines a natural crossnorm on the tensor product of a KB-lineal E with a Banach space X, forming a functor Phi_E, and shows that this construction includes previously studied functors associated with minimal norme…
I. F. Krasichkov
This paper studies lower estimates for entire functions of refined finite order whose zeros lie in an angle and approach the positive real axis. It gives a necessary and sufficient condition, expressed through an averaged local counting function for zeros, for the normalized lower limit of the logar…
M. A. Porai-Koshits
This paper examines why the stretching vibrational frequencies of thiocyanate and selenocyanate groups change when these ions form coordination bonds through nitrogen, through sulfur or selenium, or as bridging groups. Using approximate normal-coordinate calculations for linear and selected nonlinea…
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The paper examines the stability of equilibrium states in nonholonomic mechanical systems with linear velocity constraints. It argues that such equilibria are generally not isolated points but form a manifold whose dimension equals the number of nonholonomic constraint equations, explaining the occu…
M. A. Rutman
The paper studies finite and infinite Markov systems and their relation to Chebyshev systems, focusing on extension problems for such function systems and on continuation beyond an interval. It proves that, after suitable normalization and triangular linear transformation, every right-continuous Mar…
Z. O. MELNIK
The paper studies general mixed initial boundary value problems in a straight cylinder for multidimensional hyperbolic integro-differential equations of arbitrary order with analytic coefficients. It formulates a decomposition of the lateral boundary according to the signs of the characteristic root…
S. I. Lobov, V. A. Tsukerman
This paper examines the use of radioactive isotopes emitting characteristic X-ray radiation, especially iron-55 and vanadium-49, as alternatives to conventional X-ray tubes in structural studies of crystals and polycrystalline materials. The authors estimate the source activity required for recordin…
1°.** In this note we consider the uniformly elliptic linear equation of second order
This note studies Phragmen Lindelof type growth estimates and uniqueness classes for solutions of uniformly elliptic second order linear equations in unbounded domains, with zero boundary values. Replacing earlier volume based conditions by conditions expressed through capacity, it derives lower bou…
The main result of the present note is the following.
This note proves that any bundle of locally finite semigroups is locally finite. The argument develops structural lemmas for commutative and matrix bundles, formulates closure conditions for abstract semigroup properties, and then verifies the needed conditions for local finiteness using results on …
I. F. BEL’SKII, S. N. KHAR’KOV, Corresponding Member of the Academy of Sciences of the USSR N. I. SHUIKIN
This study examines catalytic routes to homologs of 1,4-dioxene and 1,4-dioxane, compounds for which earlier syntheses were limited or low yielding. Monofurfuryl ethers of 1,2-glycols were prepared and hydrogenated in the vapor phase over platinized carbon at 140, 180, and 220°C, with products ident…
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The paper presents a geometric construction of infinitely many Fedorov groups in three-dimensional Lobachevsky space, avoiding the arithmetic methods commonly used for such examples. Starting from regular partitions of a Lobachevsky plane into regular n-gons with 3, 4, or 5 polygons at each vertex, …
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Infrared absorption spectra were measured for freshly prepared methylates and ethylates of beryllium, magnesium, calcium, strontium, and barium to examine how metal electronegativity and the ionicity of the metal, oxygen bond affect alkoxyl-group vibrations. Comparison with the corresponding alcohol…
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This paper systematizes experimental initial heats of chemisorption on comparatively clean metal surfaces and relates them to the structure of surface chemical compounds. It proposes that the initial heat of adsorption is approximately proportional to the number of metal atoms involved in the surfac…
Unknown
This note establishes Lyapunov type regularity theorems for heat potentials associated with time dependent surfaces in parabolic potential theory. It formulates anisotropic Hölder smoothness conditions on the boundary surface and on the density under which the heat potential of a simple layer, the h…
Unknown
This note studies infinite order differential operators built from Gel’fond and Leont’ev generalized derivatives associated with an entire function of finite order and nonzero finite type, extending Sikkema’s operator with ordinary derivatives. It gives necessary and sufficient conditions for such a…
Unknown
This study examines the electron-acceptor character and microstructure of the sulfofluoride group through ultraviolet spectra of substituted benzenesulfonyl fluorides. By comparing K-band maxima and intensities with those of related sulfonamide, sulfone, carboxyl, acetyl, and nitro derivatives, and …
Unknown
The paper studies extremal problems for conformal mappings of finitely connected planar domains onto multi-sheeted Riemann surfaces with rectilinear slits, allowing prescribed pole and logarithmic singularities. It constructs uniquely determined auxiliary functions satisfying mixed boundary conditio…
I. V. STANKEVICH
The paper studies the large-time behavior of solutions to the nonstationary Schrödinger equation in a Hilbert space when the Hamiltonian is a non-self-adjoint perturbation of a self-adjoint operator. It introduces linear similarity to an unperturbed Hamiltonian and gives sufficient conditions, inclu…
G. L. GAL’CHENKO, D. A. GËDAKYAN, B. I. TIMOFEEV, S. M. SKURATOV
This study determines standard heats of formation for crystalline zirconium tetrachloride and hafnium tetrachloride, thermodynamic quantities relevant to purification and separation of zirconium and hafnium metals. High purity iodide zirconium and hafnium samples were directly chlorinated at about 4…
Unknown
This paper studies Poincare polynomials of compact homogeneous spaces using invariant polynomial algebras of compact Lie groups and their Weyl groups. It first identifies generators for the invariant polynomial algebras of exceptional simple Lie algebras in terms of sums of powers of weights of the …
Unknown
This paper concerns the evaluation of mexamine as a radioprotective agent within the field of biophysics. Based on the available translated text, the study is presented as an estimation of the compound’s protective efficiency against radiation, but no details of experimental design, measurements, or…
T. A. Fadeeva, Z. P. Pasheva
This study examines the phase composition of thin amorphous films formed by vacuum condensation of vapors produced from a heated mixture of silicon dioxide and silicon, materials commonly identified as silicon monoxide from their diffuse electron diffraction halo. Films 300 to 700 Å thick were prepa…
Corresponding Member of the Academy of Sciences of the USSR N. K. Kochetkov, A. Ya. Khorlin,
The paper addresses the limited availability of stereochemically defined O-furanosides and examines whether sugar orthoesters can serve as general glycosylating reagents for furanoside synthesis, as previously shown for pyranosides. As a test case, the authors prepare the previously unknown 3,5,6-tr…
Unknown
This study examines the mechanism of nitrogen fixation in the reacting system formed from biscyclopentadienyltitanium dichloride and ethylmagnesium bromide in ether. Using gas analysis, infrared spectroscopy, hydrolysis experiments, and deuterium labeling with deuterated ethylmagnesium bromide and e…
Unknown
This paper introduces and studies a class of differentiable functions on n-dimensional Euclidean space whose generalized derivatives up to prescribed orders have finite mixed Lebesgue norms and whose higher derivatives satisfy mixed norm multiple Hölder conditions. It defines the space with a norm f…
M. I. Elinson, V. B. Sandomirskiĭ
This paper develops a one-dimensional theory of the static current-voltage characteristic of a thin-film field-effect triode, emphasizing the role of deep, homogeneously distributed traps in the film. For an electron-enrichment regime with monoenergetic traps, the authors derive the carrier concentr…
A. G. Boldyrev, N. A. Adrova, M. I. Bessonov,
This study uses electron paramagnetic resonance to examine stable free radicals formed in polyimides during heating of polyamic acids and related model compounds. Three radical types are distinguished by their spectra, temperature ranges, concentrations, and stability: an initial broad singlet attri…
A. N. Nesmeyanov, V. A. Dubovitskii, O. V. Nogina, V. N. Bochkarev
This study examines the mass spectra of monocyclopentadienyl titanium derivatives of the series C5H5Ti(OC2H5)3-nCln, with n = 0, 1, 2, and 3, in relation to the character of the titanium to cyclopentadienyl bond. The spectra show molecular ions and characteristic fragment ions formed by loss of chlo…
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This note studies the removability of level sets for solutions of second order uniformly elliptic equations in the plane with Hölder continuous coefficients. It proves first that a continuously differentiable function that is harmonic near every point where it is nonzero must be harmonic throughout …
N. M. POPOV, D. B. SANDULOV
Filamentous single crystals of beryllium oxide were produced by high-temperature oxidation of metallic beryllium in argon and examined with a 400 kV ultra-high-voltage electron microscope. Electron diffraction confirmed BeO unit-cell parameters and showed that crystal diameters ranged from hundredth…
I. P. BELETSKAYA, L. A. FEDOROV, Academician O. A. REUTOV
This study examines the acid cleavage of dibenzylmercury by hydrogen chloride in several solvents as a possible example of electrophilic substitution at saturated carbon by a unimolecular mechanism. Kinetic measurements based on chloride ion consumption showed first-order behavior in dimethyl sulfox…
Unknown
This paper extends an additive treatment of activated-complex energy from radical reactions to reactions of saturated and unsaturated hydrocarbons. It proposes a generalized expression in which activation energy equals the sum of energies of bonds broken minus the sum of corresponding activated-bond…
Unknown
This paper studies sufficient conditions for absolute convergence of Fourier series of periodic functions in terms of symmetric finite differences and related integral moduli of smoothness. It proves coefficient tail estimates for \(0<m\leq 2\), bounding sums of powers of Fourier coefficients by qua…