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This note studies groups in which cyclic subgroups of prime order, restricted to a fixed set of primes, are complemented, called primitively pi-factorizable groups. It introduces pi-primitive groups and elements and proves structural characterizations for periodic such groups, including descriptions…
A. I. SERBINOV, Ya. K. TROSHIN
This paper examines kinetic parameters for benzene oxidation and ignition by comparing new detonation wave measurements with published data on autoignition, shock tube ignition, thermal explosion, and isothermal oxidation in benzene mixtures with oxygen or air. Ignition delays in detonation were est…
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The paper extends a method based on functions conjugate on the contour from stress problems to displacement boundary value problems for an infinite elastic strip. Using Kolosov’s complex-variable equations, it formulates four symmetric and antisymmetric deformation cases and reduces the prescribed b…
I. M. GELFAND, M. I. GRAEV
This note proposes a construction and classification of irreducible representations of Dickson Chevalley simple algebraic groups over a finite field, using representations induced from one dimensional characters of a maximal nilpotent subgroup. It establishes two central results: every irreducible r…
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This note studies the statistical structure of kinetic energy dissipation in locally isotropic turbulence, treating dissipation as a random field determined by velocity gradients. Using Kolmogorov’s theory together with Millionshchikov’s normal fourth moment hypothesis, it derives expressions for th…
I. V. BOCHAROVA
This note studies the large time asymptotic behavior of a one dimensional free boundary problem for the heat equation on a moving interval with prescribed values at both endpoints and prescribed spatial derivative at the free boundary. Assuming the boundary data and flux converge to constants, with …
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This paper examines the formation of sodium bicarbonate in natural waters through sorption of sulfate ions, as an alternative to explanations based solely on anaerobic sulfate-reducing bacteria. Drawing on earlier reactions involving clay minerals and iron hydroxides, the authors report laboratory e…
I. M. ABRAMOVA, A. V. ERMOLINA, L. A. IGONIN, and V. A. KARGIN
This paper examines the morphology of supramolecular structures formed by polyformaldehyde during crystallization from the melt, a topic previously little described despite the polymer’s known crystallinity. Finely dispersed polyformaldehyde was melted, cooled under controlled conditions, and studie…
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This paper studies analytic functions in essentially bounded tube domains and relates their geometry to Fourier transforms and normed convolution rings on convex cones. It proves that maximal ideal spaces of weighted convolution rings are closures of tube domains of holomorphy of prescribed type, an…
Yu. A. Zarifyants, V. F. Kiselev, N. N. Lezhnev, I. S. Novikova
This study examines the formation and identification of oxygen-containing surface complexes produced by room-temperature oxygen chemisorption on freshly cleaved, highly dispersed natural graphite. Using gravimetric adsorption measurements, controlled hydration with water vapor, chemical functional g…
T. V. GATOVSKAYA, G. M. PAVLYUCHENKO, V. A. BERESTNEV, and V. A. KARGIN
This study examines how sorption data can be used to estimate the flexibility of polyethylene chains, particularly under conditions where crystalline regions no longer restrict possible conformations. Sorption isotherms of n-dodecane in high molecular weight polyethylene were measured over a wide te…
Yu. A. RYLOV
The paper addresses the problem of localizing the gravitational field in general relativity without contradicting the equivalence principle. It proposes a two-point construction in which the field at a point is defined relative to a reference point by mapping spacetime to the tangent Euclidean space…
N. V. EFIMOV
Efimov studies complete simply connected two-dimensional Riemannian manifolds of everywhere negative Gaussian curvature and asks when they can be regularly isometrically immersed in three-dimensional Euclidean space. The paper relates this problem to the growth of the reciprocal square root of the a…
S. A. Shchukarev, S. N. Andreev, K. A. Burkov
This study examines complex formation in the NiCl2, HCl, and H2O system, addressing uncertainty in earlier interpretations of the absorption spectra of aqueous nickel(II) halide solutions. Absorption spectra of NiCl2 solutions over varying nickel chloride and hydrochloric acid concentrations were me…
S. Yu. MASLOV
Maslov studies how arbitrary canonical calculi over a given alphabet can be transformed into calculi of restricted forms while preserving derivability of words over the original alphabet. The paper proves that, although an equivalent calculus using only the original alphabet need not exist, one auxi…
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This paper formulates an exact system of field equations for a nonideal Fermi-Dirac system with fourfold interaction, intended to treat one-particle excitations together with two-particle bound states of both particle-particle or hole-hole and particle-hole types. Starting from a relation between on…
S. M. NIKOLSKII
This note studies trace, or boundary value, questions for differentiable functions of several variables whose selected partial derivatives have finite Lp norms, especially in anisotropic classes and in domains more general than coordinate half-spaces. It proves estimates for lower derivatives and es…
Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROV, E. M. KUZNETSOVA
This paper develops a general kinetic treatment of nonequilibrium charge carrier lifetimes in semiconductors containing arbitrary systems of local levels, including recombination and trapping centers with multiple charge states. Starting from balance equations for electrons, holes, charged centers, …
Academician of the Academy of Sciences of the Moldavian SSR V. A. ANDRUNAKIEVICH
This note generalizes Faith’s decomposition theorem for associative rings by treating an arbitrary supernilpotent Kurosh radical rather than only the Jacobson radical. It proves that if the factor ring by such a radical satisfies the minimum condition for principal right ideals, then the ring decomp…
L. I. Kamynin
The paper studies principal boundary value and mixed problems for one dimensional parabolic equations whose coefficients have first kind discontinuities along finitely many moving lines. Using heat potential methods, fundamental solutions constructed by Pogorzelski, and estimates due to Gevrey, the …
In the present paper the first boundary-value problem is considered for the elliptic equation:
The paper studies the first boundary value problem for general elliptic differential equations of order 2m in bounded domains whose boundaries may have angular, conical, or otherwise nonsmooth points. It develops weighted integral inequalities near boundary points satisfying exterior accessibility o…
B. S. DZHELEPOV, M. E. VOIKHANSKII, A. I. MEDVEDEV, I. F. UCHEVATKIN
The paper examines the nature of the 531.8 keV, 3/2+ excited level in Er-167, focusing on why expected E1 transitions to the 207.9 and 265.0 keV negative-parity levels are not observed. The authors compare Weisskopf-Moshkovsky and Nilsson-model estimates with a targeted conversion-electron search us…
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This paper studies the completeness of the positive fragment of Heyting’s intuitionistic propositional calculus under Kolmogorov’s interpretation of formulas as problems. It defines finite problems by finite sets of admissible possibilities and solution subsets, introduces conjunction, implication, …
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This paper proposes a simplified treatment of slow ion neutralization and metastable atom deactivation near metal surfaces by interpreting electron transfer from the metal as a form of cold field emission in the electric field of the approaching particle. Using the Fowler, Nordheim barrier penetrati…
I. N. Vekua
The paper studies fixed singular points of generalized analytic functions satisfying a first order generalized Cauchy-Riemann equation with coefficients regularized by analytic functions that may have poles or essential singularities. It formulates the problem of constructing solutions with a prescr…
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The paper develops an asymptotic method for linear differential equations in Hilbert, and under stated assumptions Banach, spaces whose operator coefficients contain slowly varying terms and rapidly oscillating factors depending on a small parameter. The solution operator is decomposed according to …
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This paper studies global stability of stationary sets for nonlinear discontinuous dynamical systems whose equilibrium position may be nonunique. Using Filippov-type solutions and extending Popov’s frequency-domain method, it considers systems with a stable linear part and a bounded scalar nonlinear…
Corresponding Member of the USSR Academy of Sciences B. B. KADOMTSEV, A. V. TIMOFEEV
The paper analyzes drift instability in an inhomogeneous plasma placed in a strong uniform magnetic field, emphasizing the role of finite ion Larmor radius effects. Using a kinetic treatment and a quasineutrality dispersion relation for longitudinal perturbations propagating across the density gradi…
A. I. VEKSLER
The paper studies the relation between topological completeness and order, or structural, completeness in normed and locally convex partially ordered linear spaces. It proves that Banach lattice-like structures with suitable projection properties are structurally complete, or conditionally sigma-com…
Z. D. TULOVSKAYA, E. E. SEGALOVA, P. A. REBINDER
This study examines the temperature dependence of the metastable solubility of monocalcium aluminate, the principal mineral of aluminous cement, as a factor relevant to cement hardening at elevated temperatures. Suspensions of monocalcium aluminate with different solid phase contents were stirred un…
V. G. Zhuravleva, Z. Ya. Berestneva, V. A. Kargin
This study examines structure formation in isotactic polybutylene, a crystalline polymer with flexible chains, using electron microscopy of specimens prepared from dilute solution and as films under different cooling and solvent evaporation conditions. Rapid evaporation and cooling produced ribbon-l…
Corresponding Member of the USSR Academy of Sciences B. V. Deryagin and S. P. Bakanov
This paper develops a theory of thermomolecular pressure differences and thermoosmosis for gases in wide capillaries, where the capillary diameter is much larger than the molecular mean free path. Using the thermodynamics of irreversible processes and Onsager reciprocity, the authors relate the pres…
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The paper studies one-sided boundary-value problems for analytic and piecewise analytic functions, in which boundary relations involve limiting values taken on only one side of a Lyapunov contour, possibly after an orientation-preserving or orientation-reversing transformation of the contour. It red…
S. K. Chuchmarev, O. A. Esin, A. A. Dobryden
This study examines how direct current polarization affects sulfur removal from molten calcium aluminate slags at the slag, gas interface during air blowing. Experiments measured sulfur burn-off rates and surface tension under anodic and cathodic conditions using graphite, platinum, silicon carbide,…
Academician of the Academy of Sciences of the Kazakh SSR D. V. Sokolsky and N. F. Noskova
This study examines the use of acetylene as an anodic polarizing agent for obtaining charging curves of skeletal nickel, palladium on calcium carbonate, and platinum black, with the aim of estimating adsorbed and occluded hydrogen and approximate catalyst surface areas. Experiments were conducted in…
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This paper analyzes the electrostatic potential distribution near a strongly ionized polymer macromolecule in an electrolyte solution, treating the uncoiled macroion as a long charged cylinder surrounded by counterions and low molecular weight electrolyte ions. The authors formulate the problem with…
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Consider the following problems:
This paper studies two related solvability problems for Hermitian matrix inequalities arising in automatic control, especially in Lyapunov approaches to stability of nonlinear systems. It formulates frequency-domain characteristics for the two problems and proves necessary and sufficient conditions …
I. U. BRONSTEIN
This note proposes a formulation of dynamical systems without uniqueness as semigroups of multivalued mappings of a topological space, motivated by differential equations with multivalued or discontinuous right hand sides and by general topological dynamics. It defines the basic continuity and compo…
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This paper examines the self-diffusion of water molecules in electrolyte solutions containing hydrated ions, focusing on how lithium ions slow water motion. A simplified model is proposed in which water molecules in the first hydration shell move with the ion, while additional neighboring molecules …
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This paper studies the resolvent of the Schrödinger operator for a nonrelativistic three-particle system with pair interactions satisfying decay and Hölder-type regularity assumptions. Developing an integral-equation approach, it represents the full resolvent in terms of two-particle resolvents and …
Yu. S. Sayasov
This paper presents a theoretical study of electron production behind a normal shock wave in air at temperatures of several thousand to about ten thousand Kelvin, where chemical kinetics can be treated separately from ionization because electron concentrations are small. It argues that thermal ioniz…
Unknown
The study examines why hydroxyl hydrogen atoms in tert-butanol show low apparent reactivity toward free methyl radicals, with particular attention to the influence of hydrogen bonding. Using competing reactions with n-heptane, tritium labeling of the alcohol hydroxyl group, and methyl radicals gener…
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This paper studies extremal problems for linear operators mapping continuous periodic functions to trigonometric polynomials while reproducing prescribed lower order polynomials. It characterizes operators of least norm in the classes considered, expresses their norms through a minimizing kernel, an…
L. N. Essen, D. P. Alekseeva
This paper reports the preparation of mixed oxalato-carbonato complex compounds of thorium, a class for which the authors found no prior literature data. Thorium oxalate was reacted in aqueous solution with sodium or potassium carbonates at selected molar ratios, and the resulting complexes were iso…
E. A. AMELINA, E. E. SEGALOVA, P. A. REHBINDER
This paper examines the induction period in hydration and crystallization structure formation during the hardening of suspensions of alpha and beta hemihydrate gypsum. It argues that the duration of this period is governed mainly by supersaturation in the liquid phase, which depends on hemihydrate s…
L. L. GORELIK, N. G. KOVALSKII, I. M. PODGORNYI, V. V. SINITSYN
This paper reports experiments on plasma losses through magnetic slits in the Orekh magnetic trap with fields increasing toward the periphery, comparing quadrupole and octupole coil configurations. Using calorimetry, time resolved bolometry, probes, and spectroscopic temperature measurements, the au…
Consider the equation:
The paper studies a boundary value problem proposed by S. L. Sobolev for a class of linear partial differential equations involving time derivatives of second order spatial operators in a bounded planar domain with smooth positively curved boundary. It constructs solutions satisfying the homogeneous…
Corresponding Member of the Academy of Sciences of the USSR V. V. KORSHAK, D. Ya. TSVANKIN,
This study examines how grafting polystyrene affects the structure and orientation of polyethylene terephthalate films. Polystyrene was grafted onto oriented crystalline films, and the resulting materials were compared with layered packets of separate polyethylene terephthalate and polystyrene films…
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This note constructs, for each integer base g at least 2, a real number alpha whose sequence of fractional parts {alpha g^x} is uniformly distributed with an improved discrepancy estimate. The construction follows Korobov’s method using normal periodic systems, repeating truncated systems a prescrib…