Showing 50 of 25456 papers

Primitive $\pi$-Factorizable Groups

Unknown
1962 SovietRxiv: ru-196201.74873

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…

Kinetic Parameters of the Processes of Detonation, Autoignition, and Isothermal Oxidation of Benzene

A. I. SERBINOV, Ya. K. TROSHIN
1962 SovietRxiv: ru-196201.74784

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…

Construction of irreducible representations of simple algebraic groups over a finite field

I. M. GELFAND, M. I. GRAEV
1962 SovietRxiv: ru-196201.74683

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…

Soda Formation Due to Sorption of the Sulfate Ion

Unknown
1962 SovietRxiv: ru-196201.74501

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…

Morphology of the Supramolecular Structure of Polyformaldehyde

I. M. ABRAMOVA, A. V. ERMOLINA, L. A. IGONIN, and V. A. KARGIN
1962 SovietRxiv: ru-196201.74390

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…

Analytic Functions in Tube Domains

Unknown
1962 SovietRxiv: ru-196201.74306

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…

Synthesis and Functional Analysis of Oxygen Complexes on the Surface of Freshly Cleaved Graphite

Yu. A. Zarifyants, V. F. Kiselev, N. N. Lezhnev, I. S. Novikova
1962 SovietRxiv: ru-196201.74277

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…

Evaluation of the Flexibility of Polyethylene Chains from Sorption Data

T. V. GATOVSKAYA, G. M. PAVLYUCHENKO, V. A. BERESTNEV, and V. A. KARGIN
1962 SovietRxiv: ru-196201.74208

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…

On the Relative Localization of the Gravitational Field

Yu. A. RYLOV
1962 SovietRxiv: ru-196201.74136

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…

Impossibility of Isometric Immersion into Three-Dimensional Euclidean Space of Certain Manifolds with Negative Gaussian Curvature

N. V. EFIMOV
1962 SovietRxiv: ru-196201.74017

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…

Complex formation in the $\mathrm{NiCl}_2$ – $\mathrm{HCl}$ – $\mathrm{H}_2\mathrm{O}$ system

S. A. Shchukarev, S. N. Andreev, K. A. Burkov
1962 SovietRxiv: ru-196201.73976

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…

A SYSTEM OF FIELD EQUATIONS FOR A NONIDEAL FERMI–DIRAC SYSTEM EXPLICITLY TAKING INTO ACCOUNT TWO-PARTICLE BOUND STATES

Unknown
1962 SovietRxiv: ru-196201.73942

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…

Lifetime of Nonequilibrium Charge Carriers in Semiconductors with Local Levels

Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROV, E. M. KUZNETSOVA
1962 SovietRxiv: ru-196201.73908

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, …

Radicals and Decomposition of a Ring

Academician of the Academy of Sciences of the Moldavian SSR V. A. ANDRUNAKIEVICH
1962 SovietRxiv: ru-196201.73773

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…

Estimates of Derivatives of Solutions to Elliptic Equations Near the Boundary

In the present paper the first boundary-value problem is considered for the elliptic equation:
1962 SovietRxiv: ru-196201.73654

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…

On the Nature of the 531.8 keV Level of $\mathrm{Er}^{167}$

B. S. DZHELEPOV, M. E. VOIKHANSKII, A. I. MEDVEDEV, I. F. UCHEVATKIN
1962 SovietRxiv: ru-196201.73635

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…

Finitary Problems

Unknown
1962 SovietRxiv: ru-196201.73579

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, …

Fixed Singular Points of Generalized Analytic Functions

I. N. Vekua
1962 SovietRxiv: ru-196201.73254

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…

Drift instability of an inhomogeneous plasma in a magnetic field

Corresponding Member of the USSR Academy of Sciences B. B. KADOMTSEV, A. V. TIMOFEEV
1962 SovietRxiv: ru-196201.73209

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…

Temperature Dependence of the Metastable Solubility of Monocalcium Aluminate

Z. D. TULOVSKAYA, E. E. SEGALOVA, P. A. REBINDER
1962 SovietRxiv: ru-196201.72961

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…

Electron microscopic study of the structure of isotactic polybutylene

V. G. Zhuravleva, Z. Ya. Berestneva, V. A. Kargin
1962 SovietRxiv: ru-196201.72921

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…

Theory of Thermomolecular Pressure Difference and Thermoosmosis of Gases in Wide Capillaries

Corresponding Member of the USSR Academy of Sciences B. V. Deryagin and S. P. Bakanov
1962 SovietRxiv: ru-196201.72914

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…

On the Influence of Electrode Polarization on the Properties of the Electrolyte–Gas Interface

S. K. Chuchmarev, O. A. Esin, A. A. Dobryden
1962 SovietRxiv: ru-196201.72722

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,…

Charging curves of skeletal $\mathrm{Ni}$, $\mathrm{Pd}/\mathrm{CaCO}_3$, and $\mathrm{Pt}$ black during anodic polarization with acetylene

Academician of the Academy of Sciences of the Kazakh SSR D. V. Sokolsky and N. F. Noskova
1962 SovietRxiv: ru-196201.72492

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…

Potential distribution at the surface of a strongly ionized polymer macromolecule in an electrolyte solution

Unknown
1962 SovietRxiv: ru-196201.72366

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…

SOLUTION OF CERTAIN MATRIX INEQUALITIES OCCURRING IN THE THEORY OF AUTOMATIC CONTROL

Consider the following problems:
1962 SovietRxiv: ru-196201.72136

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 …

On Dynamical Systems without Uniqueness as Semigroups of Multivalued Mappings of a Topological Space

I. U. BRONSTEIN
1962 SovietRxiv: ru-196201.72046

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…

Structure of the Resolvent of the Schrödinger Operator for a Three-Particle System and the Scattering Problem

Unknown
1962 SovietRxiv: ru-196201.71863

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 …

Interaction of Free Methyl Radicals with Hydroxyl Hydrogen Atoms of tert-Butyl Alcohol: The Role of Hydrogen Bonds

Unknown
1962 SovietRxiv: ru-196201.71842

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…

Linear polynomial operations

Unknown
1962 SovietRxiv: ru-196201.71803

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…

On the Induction Period of Structure Formation during the Hardening of Gypsum Hemihydrate

E. A. AMELINA, E. E. SEGALOVA, P. A. REHBINDER
1962 SovietRxiv: ru-196201.71751

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…

Study of plasma escape through magnetic slits of traps with a field increasing toward the periphery

L. L. GORELIK, N. G. KOVALSKII, I. M. PODGORNYI, V. V. SINITSYN
1962 SovietRxiv: ru-196201.71577

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…

On a Problem of L. S. Sobolev

Consider the equation:
1962 SovietRxiv: ru-196201.71344

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…

Study of Polyethylene Terephthalate (Lavsan) Films Grafted with Polystyrene

Corresponding Member of the Academy of Sciences of the USSR V. V. KORSHAK, D. Ya. TSVANKIN,
1962 SovietRxiv: ru-196201.71222

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…

CONSTRUCTION OF A NUMBER \(\alpha\) FOR WHICH THE FRACTIONAL PARTS \(\{\alpha g^x\}\) ARE RAPIDLY UNIFORMLY DISTRIBUTED

Unknown
1962 SovietRxiv: ru-196201.71215

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…