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The paper studies analytic domains for the pion nucleon vertex function and pion scattering amplitudes in finite order perturbation theory, taking account of the pseudoscalar character of pions and excluding unphysical primitive diagrams with three meson lines at a vertex. Using the majorization met…
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This paper examines how mechanically induced particle orientation affects the structural and mechanical properties of aqueous palygorskite pastes. Using rolling to align fibrous mineral particles from the Cherkassy deposit, the authors compare elastic, plastic, and viscous constants for unoriented s…
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The paper presents a general stochastic simulation algorithm for queuing theory problems when analytic determination of system characteristics is impractical. It formulates a queuing system in terms of active and passive elements, models only the moments at which system state changes, and orders the…
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This paper studies decompositions of Lie algebras \(G = G' + G''\) in which the algebras involved are semisimple, relating them to locally transitive actions of Lie groups on homogeneous spaces. It proves that for reductive complex groups, and analogously for connected real semisimple groups, local …
A. N. BASHKIROV, E. M. SHAIKHUTDINOV, L. A. GILYAROVSKAYA
This study examines how a tertiary carbon atom affects the liquid phase oxidation of monomethyl substituted paraffin hydrocarbons in the presence of boric acid. Synthesized 2-methyldodecane and 8-methylpentadecane were oxidized with a dilute oxygen containing gas at 165 to 170°C, and the resulting p…
Yu. A. Zhdanov, G. N. Dorofeenko, S. V. Zelenskaya
This paper examines thin layer chromatography on calcium sulfate as a rapid method for determining and separating carbohydrates and related polyhydroxy compounds. Plates coated with gypsum were tested with chloroform and methanol solvent systems for monosaccharides, disaccharides, and polyhydric alc…
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This note studies dimension-theoretic characterizations of spaces by essential and zero-dimensional type mappings into cubes. Building on the theorems of Aleksandrov and Hurewicz, it proves that every compactum of dimension k admits a single mapping into the k-dimensional cube that is both essential…
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This paper examines how molecular oxygen affects scission of the main chain in polydimethylsiloxane rubber during high-temperature oxidation. The authors use chemical stress relaxation of preoxidized, structured rubber samples heated in oxygen, nitrogen, or argon to compare rates of network rupture …
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The paper examines the passage of direct current through a symmetric binary 1-1 electrolyte, focusing on the distribution of electric field and ion concentrations near a charged electrode where one ion species is discharged. It proposes a boundary-layer approximation for the diffusion-kinetic equati…
Academician of the Academy of Sciences of the Ukrainian SSR A. G. GOLDMAN, A. I. PROSKURA
This paper reexamines the nature of the Goodden-Pohl effect, the flash produced when an electric field is applied to a previously excited phosphor, using experiments on ZnS:Cu,Sn phosphor cells. The authors compare the flash spectrum with phosphorescence, study repeated excitation and field applicat…
V. PONOMAREV
This paper studies the absolute of a topological space, extending earlier constructions from paracompact spaces to arbitrary Hausdorff spaces through inverse spectra formed from finite decompositions. It defines the absolute as the set of marked points in the limit of a spectrum of finite discrete s…
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This paper studies the realization of Boolean matrices by valve circuits and estimates Shannon functions for circuit complexity under restrictions on circuit depth. Using decompositions of matrices into products and disjunctions of simpler matrices, it proves an asymptotic bound for depth two circui…
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This paper studies the first boundary value problem for a general second order nonlinear parabolic equation in a bounded cylindrical domain. Under Hölder smoothness, parabolicity, boundary regularity, and compatibility assumptions, but without imposing growth conditions on the nonlinear function in …
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This paper examines the stability of higher irreducible correlation functions in a spatially homogeneous, fully ionized plasma without a magnetic field. Starting from the Bogolyubov hierarchy, the authors reformulate the equations for irreducible distribution functions and, for small plasma paramete…
E. K. KELER, E. I. KOZLOVSKAYA
This study examines how crystallization affects the elastic, plastic, and strength properties of photosensitive glass systems that form glass-crystalline materials. Using deformation-temperature measurements, thermograms, quenching experiments, microstructural analysis, high-temperature microscopy, …
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This paper develops a universal coefficient theorem for spectral cohomology groups of differential abelian groups. It defines spectral cohomology as an inverse limit over finitely generated differential subgroups, proves that this functor commutes with direct limits of differential groups, and relat…
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This paper proposes a general method for formalizing and simulating a mechanized production section with conveyors, intermediate bins, and multiple identical machines subject to random failures and repairs. The method models the system by simultaneous scanning of all units at small time intervals an…
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The paper introduces the spaces M0(alpha), defined as a closed subspace of Lorentz type spaces M(alpha) by a vanishing small measure condition, and studies their relation to the spaces Lambda(alpha). It proves that M0(alpha) is the closure of bounded functions in M(alpha), that its dual is isometric…
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The paper studies uniqueness and existence for the Cauchy problem for second order parabolic equations in several spatial variables, including equations that degenerate or have coefficients growing at infinity. It introduces function classes defined by integral growth conditions involving the ellipt…
Academician of the Academy of Sciences of the Uzbek SSR E. I. ADIROVICH
This paper develops a theory of the Dember effect in semiconductors that allows for an anomalous sign of the photodiffusion emf, contrary to the usual result that the sign is fixed by the less mobile carriers. By solving the kinetic equations with boundary layers near the illuminated and shadow surf…
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This note develops an approximate theory for the transition between volumetric thermal ignition and ignition initiated near heated vessel walls in an exothermic reacting substance. Starting from the stationary theory of ignition by a heated surface, it estimates the induction period by solving the t…
Corresponding Member of the USSR Academy of Sciences V. I. Gol’danskii, T. A. Solonenko,
This study examines how selected aqueous ions and organic additives affect positronium annihilation, distinguishing between quenching, observed as a decrease in the long-lived lifetime component, and inhibition of positronium formation, observed as a decrease in its intensity. Time distributions of …
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This paper examines thermal rearrangements of allylic and propargylic esters of phosphorous acid as reactions analogous to Claisen rearrangements. The authors compare substituted allyl and propargyl phosphites using product properties and infrared spectra, showing that allylic esters rearrange on he…
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This study examines why titanium electrodeposition from aqueous acidic and alkaline salt solutions is limited and strongly dependent on cathode material. Polarization measurements, gasometric and gravimetric current efficiency determinations, microscopy, chemical and spectral analyses, diffusion exp…
Academician V. A. KOTELNIKOV, V. M. DUBROVIN, B. A. DUBINSKY,
This paper reports Soviet radar observations of Venus conducted in 1962 with an upgraded installation whose sensitivity and Doppler compensation were improved relative to 1961. The authors analyze spectra of reflected signals, reflection coefficients, broadband components, and frequency modulated re…
L. Ya. KOBELEV
This paper proposes a quantum-theoretical model for rapid low-temperature polymerization in solid monomers, addressing anomalously high rates, weak or negative activation energies, and rate jumps near phase transitions. The model treats polymerization as collective ordering of quasiparticles, such a…
Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROVICH
This paper examines whether semiconductor photoelectric generators can be assigned a definite electromotive force equal to their open-circuit voltage. It argues from Maxwell’s current equation and semiconductor transport relations that the circulation of extraneous forces may depend not only on illu…
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This paper studies best approximation of periodic functions of several variables in the spaces Lp by trigonometric polynomials, comparing complete approximation in all variables with partial approximation in selected variables. It introduces a restricted form of partial best approximation whose coef…
Corresponding Member of the Academy of Sciences of the USSR M. F. Shostakovskii, G. G. Skvortsova,
This study examines the formation of complexes between tin tetrachloride and vinylaromatic ethers during the initial stages of cationic polymerization, focusing on vinyl ethers of phenol and o-aminophenol, with comparison to aniline. The authors isolated unstable crystalline complexes, characterized…
K. A. Andrianov, V. I. Pakhomov, N. E. Laptieva
This paper examines intramolecular transesterification reactions of substituted esters of gamma-hydroxypropylalkoxysilanes prepared by platinum-catalyzed addition of hydridoalkoxy and hydridoalkylalkoxysilanes to allyloxysilanes. It reports the synthesis and characterization of several new siloxypro…
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This note announces a proof of a function field analogue of Mordell’s conjecture for algebraic curves of genus at least two over a finitely generated extension of a relatively algebraically closed field of constants of characteristic zero. The argument develops additive differential algebraic functi…
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This paper studies the Cauchy problem for nonlinear parabolic equations and systems in the sense of Petrovskii, with emphasis on local solvability and continuation of solutions. Using uniqueness results for linear systems, interior estimates, and refined estimates for approximating linear problems, …
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This paper examines how hydrogen bonds in quasiaromatic rings of pi-electron molecules behave upon electronic excitation, addressing conflicting interpretations that such rings either persist or rupture. The authors develop an energy argument in which excitation weakens the chromophoric multiple bon…
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The paper studies Lebesgue functions for a class of linear approximation processes applied to continuous biperiodic functions of two variables, using trigonometric polynomials whose coefficients are obtained from values at equally spaced interpolation nodes. Under monotonicity and sign conditions on…
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The paper studies the linear Verigin free-boundary problem for a one-dimensional parabolic equation with variable coefficients, motivated by fluid displacement in porous media. It formulates the problem with first, second, or third kind boundary conditions and general conjugation conditions across a…
N. J. Bagaeva, N. N. Moiseev
This note proposes a numerical method for time-optimal control problems for systems of ordinary differential equations with possible phase and control constraints. The method assumes an initial approximate trajectory and constructs local near-optimal transfers between neighboring phase points by an …
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This paper studies extremal inequalities for polynomials and rational functions whose zeros are excluded from prescribed disks, refining classical bounds for maximum moduli and related results of Ankeny, Rivlin, Ibragimov, Mamedov, and Walsh. It establishes sharpened pointwise and maximum modulus es…
L. A. DUDINA, Al. Al. BERLIN, L. V. KARMILOVA, N. S. ENIKOLOPYAN
This paper examines changes in the molecular weight of polyformaldehyde during oxidative destruction, motivated by earlier evidence that oxygen initiates depolymerization rather than causing ordinary oxidative degradation. The authors develop a kinetic treatment for random oxygen-initiated chain sci…
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The paper studies a modified Tricomi-type boundary value problem for the Lavrent’ev-Bitsadze equation \(u_{xx}+\operatorname{sign} y\,u_{yy}=0\) in a mixed elliptic-hyperbolic domain with prescribed data on selected boundary arcs and characteristics, allowing certain constants to be determined as pa…
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This paper develops a theoretical explanation of the compensation effect observed in self-diffusion in solids, where the Arrhenius pre-exponential factor increases strongly with activation energy. The authors model the elementary diffusion act as a collective fluctuation in which energy is randomly …
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This paper develops a general representation for nonlinear invariant tensor relations in anisotropic continua whose defining parameters may include vectors, symmetric and antisymmetric second-rank tensors, and antisymmetric third-rank tensors. The argument expresses an arbitrary tensor function thro…
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This paper studies cardinal invariants and metrizability questions for bicompact spaces arising as continuous images of generalized Sigma-products and products of bicompacts. It proves bounds on the weight of such images in terms of the support cardinal, the weights of the factors, and the supremum …
V. F. SHUVALOV, R. F. VASIL’EV, L. M. POSTNIKOV, V. Ya. SHLYAPINTOKH
This paper investigates the chemical origin of chemiluminescence observed during the low-temperature gas-phase oxidation of acetaldehyde, a reaction in which emission had been detected well below the usual cold-flame temperature range. The authors recorded the chemiluminescence spectrum at 182 degre…
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The paper proposes a resonance description of chemical reaction rates involving hot atoms, ions, radicals, and molecules at translational energies where the equilibrium complex method and direct knock-out models appear inadequate. Using concepts from scattering theory, including analytic properties …
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This study examines how neutron irradiation and the subsequent radioactive radiation of activated sodium tungstate and sodium sulfate affect their polymorphic transformations and melting behavior. Purified samples were irradiated in a reactor, characterized by beta and gamma spectroscopy and activit…
A. A. BALANDIN, A. A. TOLSTOPYATOVA, V. A. NAUMOV
This paper examines whether organogenic atoms in reacting molecules bind primarily to metal atoms or oxygen atoms on oxide catalyst surfaces, a question important for applying multiplet theory and kinetic methods to catalyst selection. Using previously determined kinetic bond energies for hydrogen, …
M. L. TSETLIN, V. Yu. KRYLOV
This paper introduces games of finite automata in which players lack prior knowledge of the game conditions and adapt their pure strategies over repeated plays using only win or loss feedback. After defining such games and illustrating deterministic cases that lead to cycles or stable points, the au…
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This note studies metric properties of Mahler’s classification of transcendental numbers in the field of Hensel p-adic numbers, focusing on the exponent governing lower bounds for values of integral polynomials at a p-adic number. Building on earlier work of Lock, Kasch, and Volkmann, it argues that…
S. P. Gabuda, G. M. Mikhailov, K. S. Aleksandrov
This paper investigates the behavior of zeolitic water in harmotome and its relation to the crystal’s symmetry, particularly the apparent tension between an almost centrosymmetric structural model and observed piezoelectricity. Using proton nuclear magnetic resonance on an oriented single crystal ov…