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The paper studies how the topology of an automaton constrains its computational behavior, introducing the notions of a medium, its capacity, modeling, and strong modeling. It defines automata as networks of delayed elements and proves limitations on simulating automata embedded in media of higher ca…
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This study investigates the excitation of selected mercury spectral lines by slow, highly monoenergetic electron beams, addressing how improved electron energy resolution reveals fine structure in excitation functions. Using ribbon electron beams with energy spreads as low as about 0.1 eV, the autho…
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This paper examines a proposed variety of anomalous mixed crystals in which coprecipitation under logarithmic distribution depends positively on the concentration of the macrocomponent cation. Using thorium-234 as a tracer, the authors studied the coprecipitation of microquantities of thorium with s…
A. V. VANNIKOV, G. N. DEMIDOVA, L. D. ROZENSHTEIN, N. A. BAKH
This study examines photoconductivity in organic semiconducting materials produced by radiation and thermal treatment of polyethylene, where semiconducting behavior is attributed to the formation of polyconjugated regions. Three differently treated samples were measured in evacuated surface cells un…
Academician B. A. ARBUZOV, O. A. ERASTOV, A. B. REMIZOV
This study examines keto, enol tautomerism in the methyl and ethyl esters of 4-ketotetrahydrothiopyran-3-carboxylic acid, for which chemical determination was hindered by the presence of sulfur. Using infrared and ultraviolet spectroscopy, the authors compare these sulfur-containing esters with anal…
F. P. Kesamanly, S. G. Kroitoru, Yu. V. Rud’,
Reflection spectra of chalcopyrite type semiconductors ZnSnAs2, ZnSiP2, and ZnSiAs2 were studied at 293 K in the 1 to 6 eV region to clarify their relation to the band structures of more familiar group IV and III-V semiconductors. The spectra show two main reflection maxima in each crystal, with a r…
Vikt. I. Spitsyn, I. D. Colli, R. A. Rodionov, T. G. Sevast'yanova
This study examines the electrical conductivity of trifluoroborazane in water, ethyl alcohol, and dimethylformamide to clarify the behavior of its donor acceptor bond in solution. Conductometric measurements, together with pH determinations for aqueous solutions, show that conductivity depends on te…
F. I. FEDOROV
This paper develops a general approximate formula for calculating the Debye temperature of anisotropic crystals from elastic-wave phase velocities. The method compares a given crystal with the nearest isotropic medium on average, expands the velocity eigenvalue problem in terms of anisotropy paramet…
A. F. Dravskikh, Z. V. Dravskikh, V. A. Kolbasov,
This paper reports 1964 radio astronomical observations of the excited hydrogen radio line near 5 cm in the Omega Nebula using a highly stable traveling-wave quantum paramagnetic amplifier cooled to liquid helium temperature. The authors describe the radiometer and radiospectrograph system, includin…
Academician A. A. GRINBERG, M. I. GELF’MAN
This paper addresses the detection, quantitative determination, and separation of cis and trans isomeric diammines of divalent platinum, especially where synthesis yields mixtures. It proposes two procedures for distinguishing thiourea reaction products: sulfate precipitation selectively isolates th…
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This study examines ion exchange sorption of mono-, di-, and trivalent cations from acidic nitrate solutions on silica gels produced by hydrothermal treatment of silicic acid hydrogels. Using radiometric measurements with labeled Na, Rb, Cs, Tl, Ca, Sr, Ba, and Y ions, the authors compare uptake acr…
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This paper studies analytic criteria for positivity of real functions arising in automatic control and circuit synthesis, including Popov-type absolute stability conditions and realizability of positive real network functions. It reformulates positivity in terms of stability of the parameter-depende…
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This paper estimates the contemporary mass change of the central Greenland ice sheet, a region for which direct evidence had previously been lacking. Using continuity relations for a vertical ice column at the ice divide, together with International Glaciological Expedition measurements of surface e…
Academician M. A. Styrikovich, O. I. Martynova, Z. S. Belova
This paper examines the equilibrium distribution of sodium chloride between boiling water and saturated steam at high pressures, addressing the concentration dependence of the apparent distribution coefficient for a strong electrolyte. The authors formulate the distribution in terms of molecular and…
A. B. Mikhailovskii, È. A. Pashitskii
This paper analyzes high-frequency drift instability in a strongly inhomogeneous magnetized plasma, focusing on electronic oscillations whose frequencies exceed ion cyclotron and Langmuir scales so that ion motion can be neglected. Using a geometrical-optics approximation for small-scale potential o…
G. V. Tsitsishvili, T. G. Andronikashvili, T. A. Chumburidze
This study examines the gas chromatographic behavior of type X zeolites in which sodium ions were partially replaced by magnesium cations. Three magnesium-containing NaX samples with different exchange levels were prepared by ion exchange, structurally checked by Debye-Scherrer patterns, and tested …
Academician V. V. VOEVODSKII, R. I. SOLOUKHIN
This paper examines the mechanism of high-temperature oxidation and self-ignition of stoichiometric methane, oxygen mixtures in shock waves, addressing discrepancies in reported ignition-delay activation energies. Using Schlieren streak photography, pressure measurements, and hydroxyl emission photo…
V. M. Gol'dberg, L. K. Obukhova
This paper examines the high reactivity of peroxide radicals toward divalent manganese stearate in oxidation-reduction processes, a reaction relevant to inhibition and termination in hydrocarbon oxidation chains. Using chemiluminescence from quadratic recombination of peroxide radicals, the authors …
N. N. KRASOVSKII
Academician A. I. MAL'TSEV
This paper studies numberings of mathematical objects whose induced equality relation is recursively enumerable, called positive, or whose inequality relation is recursively enumerable, called negative. It develops basic closure and uniqueness properties for computable subnumberings, showing in part…
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This paper reports the synthesis of polymerizable peroxide esters of acrylic and methacrylic acids as potential peroxide monomers for introducing reactive peroxide groups into polymers. The compounds were prepared mainly by reacting acryloyl or methacryloyl chlorides with sodium salts of alkyl, alky…
Ya. V. BYKOV
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This paper analyzes radiation amplification in a nonequilibrium recombining plasma with inverted level populations, emphasizing that the kinetics of a multilevel system must be considered rather than a two- or three-level approximation. For an optically thin hydrogen plasma, the authors formulate po…
O. A. Liskovets
G. M. Trofimova, I. M. Barkalov, S. S. Kuz’mina,
This study examines the radiation-induced solid-phase polymerization of hexamethylcyclotrisiloxane under accelerated electron irradiation, with emphasis on how crystalline modification, temperature, dose, and crystal defectiveness affect kinetics. Experiments over the range from minus 196 degrees to…
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The paper proves a three-cylinder theorem for solutions of a second-order uniformly parabolic equation with bounded sufficiently smooth coefficients, giving a logarithmic convexity type estimate analogous to Hadamard’s three-circle theorem. The proof uses a coordinate transformation, weighted integr…
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The paper generalizes the notion of a Chebyshev set in a normed linear space by studying approximately convex sets, defined through convex-valued metric projections. It develops basic properties of the associated majorization relation, uses fixed point results for multivalued mappings, and proves th…
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This note constructs descent algorithms for minimizing differentiable functionals in Euclidean space whose surfaces may contain saddle points, under qualitative assumptions including coercivity and finitely many stationary points. The principal algorithm combines gradient relaxation with controlled …
O. A. ZHAUTYKOV
N. I. Brish, I. N. Valeshkevich
F. S. Rofe-Beketov
G. S. Denisov, E. V. Ryltsev, D. N. Suglobov
Infrared spectra of trialkylammonium chloride and bromide solutions in inert solvents were studied to identify spectroscopic manifestations of dipolar association. Changes in concentration and temperature produced reversible redistribution between low frequency and high frequency NH stretching bands…
N. N. Vorozhtsov (jr.), V. A. Barkhash, A. T. Prudchenko, T. I. Khomenko
The paper examines reactions of pentafluorobenzoyl chloride with metal enolates of beta-keto esters as a route to polyfluorinated gamma-benzopyrone derivatives. Condensation with sodium or magnesium ethoxyacetoacetic ester unexpectedly gives 2-methyl-3-carbethoxy-5,6,7,8-tetrafluorochromone rather t…
V. I. Minkin, Yu. A. Zhdanov, A. D. Garnovskii, I. D. Sadekov
This study examines intramolecular hydrogen bonding in anils of ortho-hydroxyaldehydes and ortho-hydroxyanils, comparing systems with six-membered and five-membered hydrogen-bonded rings. The authors use experimental dipole moments, additive vector calculations, methyl ether controls, and LCAO molec…
B. I. Sadovnikov
A closed kinetic equation is derived for the lowest order classical Green function of a low density system of particles with short range interactions, retaining terms through the third order in the density parameter. The argument starts from the hierarchy of equations for classical Green functions, …
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This paper examines solid-phase polymerization of crystalline monomers as nucleation and growth of a polymer phase within a monomer crystal. Using a thermodynamic model of a cylindrical polymer nucleus, the authors relate the critical nucleus size to the surface energy, bulk free energy of polymeriz…
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This note extends Hartogs’ theorem to power series over certain complete non-Archimedean normed fields of rank one, especially non-locally compact fields whose value group is dense or whose residue field is infinite. After defining holomorphy by convergent power series on disks and polydisks, the pa…
Ya. S. Ufliand, E. A. Yushkova
The paper develops an exact solution of the Dirichlet problem for a finite cylindrical wedge bounded by two radial planes, two axial planes, and a cylindrical surface. By separating variables, the radial problem is reduced to a singular spectral problem whose admissible eigenfunctions are expressed …
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The paper studies parametric resonance and dynamic instability for Hamiltonian equations in a separable Hilbert space, modeling elastic systems with distributed parameters under periodic perturbations. Using a reduction to spectral properties of associated operators, it derives a first approximation…
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The paper studies irreducible exceptional submanifolds of the first kind on three-dimensional complex-analytic manifolds, extending the surface-theoretic notion of an exceptional curve contractible to a nonsingular point. It proves that such a contraction is inverse to a sigma-process, and gives a c…
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This paper examines the magnetic properties of ultrabasic rocks and challenges the common interpretation that strong magnetic anomalies reliably indicate dunite bodies or that weak anomalies imply their absence. Using magnetometric, petrophysical, and petrographic data from several hyperbasite massi…
G. P. Karev, S. A. Treskov, G. Sh. Fridman
The paper studies the difficulty of recognizing, by a Boolean characteristic function, whether a given set of elementary conjunctions is the reduced disjunctive normal form of some Boolean function in n variables. It represents subsets of elementary conjunctions as vertices of a Boolean cube with 3^…
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The paper studies compactness criteria for spaces of abstract, Banach-valued set functions that generalize Sobolev and Nikolsky type function spaces. It establishes analogues of Arzela’s theorem and derives necessary and sufficient compactness conditions in the space of functions with translation-co…
R. Kh. Burshtein, V. S. Tyurin, A. G. Pshenichnikov
This study examines the chemisorption and electrochemical oxidation of ethane and ethylene on platinized platinum electrodes in acidic and alkaline aqueous electrolytes. Using charging curves and polarization measurements at 20 and 97°C, the authors analyze surface coverage by hydrocarbon residues a…
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This paper analyzes the motion of incompressible elastic-viscous and thixotropic elastic-viscous media in a field with a constant longitudinal velocity gradient, motivated by stretching processes in fiber and film formation. Using rheological equations satisfying Oldroyd’s space-time invariance prin…
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This paper reports structural studies of the newly isolated alkaloids vinerine and vineridine from the aerial parts of Vinca erecta. Elemental analysis, derivative formation, hydrolysis and remethylation, UV, IR, NMR, and mass spectral comparisons with related compounds are used to establish that bo…
N. V. Medvedev
L. A. KHALFIN
This paper refines the quantum theory of cascade decay for unstable elementary particles, starting from the assumption that their properties are independent of their method of preparation. Using the Fock-Krylov representation of decay through conserved energy distribution densities, it reformulates …
M. A. Mestvirishvili
This paper studies the off energy shell two-particle scattering amplitude needed for the diagrammatic treatment of the nonrelativistic three-body problem with pairwise interactions. Using the Lippmann Schwinger equation for a Yukawa potential and the alpha parameter representation of perturbation di…
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The paper studies local Laplace transforms with values in an arbitrary Banach space, especially when the transform is entire or meromorphic, and relates their analytic growth to uniqueness and approximation properties of the original function. After extending the definition of the local Laplace tran…