Showing 50 of 25357 papers

On a Proper Three-Coloring

Unknown
1965 SovietRxiv: ru-196501.68367

The paper studies proper vertex colorings of connected loopless graphs of maximum degree three and proves that, except for the tetrahedral graph, such graphs have chromatic number at most three. The argument uses Kempe-chain style components, reductions by contracting two-edge cycles and low-degree …

ON SOME RESULTS OF AN X-RAY SPECTRAL INVESTIGATION OF THE CHEMICAL BOND IN TITANIUM OXIDES OF VARIABLE COMPOSITION \((\mathrm{TiO}_{0.85}—\mathrm{TiO}_{1.20})\)

V. I. Chirkov, È. E. Vainstein
1965 SovietRxiv: ru-196501.67957

This study examines the chemical bonding in titanium oxides of variable composition, TiO0.85 to TiO1.20, using titanium X-ray K absorption spectra together with previously measured Kβ5β'' emission bands. The spectra are interpreted quantitatively by comparison with calculated band structure data for…

CRITICAL WAVELENGTH

M. N. Maksumov, L. S. Marochnik
1965 SovietRxiv: ru-196501.67917

This paper examines the stability boundary for collisionless self-gravitating systems, seeking an analogue of the Jeans critical wavelength for media described by collective gravitational interactions rather than particle collisions. Using the linearized Boltzmann and Poisson equations in a locally …

On Some Urea-Containing Complex Thorium Halides

A. K. Molodkin, O. M. Ivanova, A. N. Kuchumova
1965 SovietRxiv: ru-196501.67910

This study examines the interaction of urea with thorium halides, a class of compounds for which prior information was reported to be absent. A series of urea-containing thorium chloride, bromide, and iodide complexes was synthesized in methanolic solution, and their compositions and properties were…

STUDY OF THE N.M.R. OF WATER PROTONS IN ZEOLITES AT LOW TEMPERATURES

V. I. Kvlividze, V. F. Kiselev, V. V. Serpinskii
1965 SovietRxiv: ru-196501.67886

This study examines the nuclear magnetic resonance spectra of water protons adsorbed in synthetic NaX zeolite at low temperatures as a function of water loading. Samples containing 0.3 to 17.3 mmol/g of water were measured between 90 and 230 K, and the spectra were analyzed through line shapes, widt…

ON THE CONVERGENCE OF DIFFERENCE SCHEMES FOR THE WAVE EQUATION WITH VARIABLE COEFFICIENTS

Yu. E. BOYARINTSEV
1965 SovietRxiv: ru-196501.67806

This note studies convergence and stability of a family of three level difference schemes for the one dimensional wave equation with variable coefficients and homogeneous boundary conditions. Using a direct algebraic approach, including noncommutative analysis for nonseparable coefficients, it formu…

NONLINEAR SPINOR FUNCTIONS

Unknown
1965 SovietRxiv: ru-196501.67762

This paper studies nonlinear spinor functions whose arguments and values transform under representations of the full orthogonal group in three-dimensional Euclidean space. It formulates a general invariance principle: the symmetry group of a spinor function is the intersection of the symmetry groups…

Cardinality and structure of the structure of all bicompact extensions of a completely regular space

Unknown
1965 SovietRxiv: ru-196501.67484

This paper studies the set of all Hausdorff compact extensions of a completely regular space, focusing on its possible cardinalities and its natural partial order. It proves that every infinite cardinal can occur as the cardinality of this system for a suitable space, using constructions involving S…

Linearized Problem of the Flow of an Incompressible Fluid Past a Permeable Wedge with Jet Separation

Unknown
1965 SovietRxiv: ru-196501.67381

This paper studies a linearized potential-flow problem for an incompressible fluid with jet separation past a permeable symmetric wedge, assuming that seepage velocity through the wedge is proportional to the pressure difference and that the permeability coefficient is small. Using a conformal mappi…

Effect of Pressure on the Rate Constants of Certain Chain Transfer Reactions in the Radical Polymerization of Styrene

V. M. Zhulin, M. G. Gonikberg, V. N. Zagorbinina
1965 SovietRxiv: ru-196501.67337

This study examines how pressure affects the relative rate constants of chain transfer and chain propagation in the radical polymerization of styrene initiated by azobisisobutyronitrile. Polymerizations were carried out at pressures up to 4000 kg/cm² in the presence of butyraldehyde, isobutyraldehyd…

Categories of Mathematical Statistics

Unknown
1965 SovietRxiv: ru-196501.67159

This paper formulates a categorical framework for mathematical statistics in which spaces of probability distributions are objects and Markov kernels are morphisms. It defines categories of families of distributions, interprets statistical equivalence through equality of attainable decision classes,…

On a Class of Inverse Problems for Differential Equations

Unknown
1965 SovietRxiv: ru-196501.67065

This note studies a class of inverse problems for linear differential equations in which unknown coefficients are to be reconstructed in a bounded domain from a parameterized family of solutions known in a disjoint domain. By applying a Laplace transform in auxiliary variables and using a fundamenta…

REFLECTION AND REFRACTION OF PLANE PLASTIC WAVES

Unknown
1965 SovietRxiv: ru-196501.67015

This paper analyzes the reflection and refraction of plane one-dimensional plastic waves at the boundary between an elastic-plastic half-space and another medium. Using a uniaxial compression law in Lagrangian coordinates, the authors formulate governing equations for the incident, reflected, and re…

Radio Astronomical Studies and the Ionosphere of Venus

Unknown
1965 SovietRxiv: ru-196501.66971

This paper reassesses radio astronomical and radar observations of Venus in light of the hypothesis that its centimeter and decimeter radio emission is connected with a dense, inhomogeneous ionosphere rather than solely with surface heating. It reviews recent data on polarization, disk brightness di…

On the Unrealizability of the Disjunction of Unrealizable Formulas of Propositional Logic

F. L. VARPAKHOVSKII
1965 SovietRxiv: ru-196501.66943

The paper studies realizability for propositional formulas in the sense induced by Kleene realizability of arithmetical substitutions, asking whether a disjunction can be realizable when both disjuncts are unrealizable. It defines refutation of a propositional formula by arithmetical substitutions t…

Rotation of the Plane of Polarization of Light by Crystals under the Action of an Electric Field

V. A. SHAMBUROV
1965 SovietRxiv: ru-196501.66884

This paper analyzes rotation of the plane of polarization in tetragonal electro-optic crystals of the ADP type under an electric field directed along the optical axis. Using the optical indicatrix, it derives relations for the rotation of the indicatrix section, the change in birefringence, and the …

Kinetic Features of Anisotropic Polymerization in the Solid Phase

Al. Al. Berlin, I. M. Barkalov,
1965 SovietRxiv: ru-196501.66856

This paper examines how anisotropic propagation of polymer chains in a crystal lattice affects the kinetics of solid-phase postpolymerization. The authors formulate kinetic schemes for active centers whose growth is limited by direction-dependent rate constants and by defects, considering nonanneala…

Rotational Relaxation of Diatomic Molecules

Unknown
1965 SovietRxiv: ru-196501.66849

This paper derives relaxation equations for the exchange of energy between rotational and translational degrees of freedom in diatomic molecules colliding with atoms or electrons when rotational transition interactions are too strong for ordinary perturbation theory and the collision is not adiabati…

The influence of the crystalline phase in amorphous selenium on the sign of dark and light charge carriers

Unknown
1965 SovietRxiv: ru-196501.66688

This paper examines how crystalline inclusions in amorphous selenium affect the predominant sign of dark and photoinduced charge carriers, a question relevant to electrophotography and photoconductive targets. Using controlled ionic surface charging and measurements of dark and light potential relax…

ON THE BORCHERS CLASS FOR INTERACTING FIELDS

D. A. Slavnov, A. D. Sukhanov
1965 SovietRxiv: ru-196501.66582

This paper studies the Borchers equivalence class of interpolating fields in a theory of one neutral scalar interacting field under Bogolyubov’s stronger causality condition for the S matrix. Using Medvedev’s quasinormal product and a recurrence definition of the Wick chronological product, the auth…

Self-Similar Motions of a Relativistic Gas in General Relativity in the Case of Point Symmetry

K. P. Stanyukovich, O. Sharshekeev, V. Ts. Gurovich
1965 SovietRxiv: ru-196501.66387

This paper examines self-similar, centrally symmetric motions of a relativistic gas in general relativity, using the Einstein equations together with the relativistic equations of gas motion for a spherically symmetric metric. By introducing similarity forms for velocity, pressure, specific volume, …

Microphotobattery or Photocell

Unknown
1965 SovietRxiv: ru-196501.66294

The paper examines competing interpretations of anomalously large photovoltages in semiconductor films, contrasting the usual microphotobattery model with the single high-resistance photocell model proposed by Brandhorst and Potter. By reanalyzing the underlying transport and Poisson equations, the …

Specific Polymerization of $4$-Vinylpyridine Salts

V. A. Kargin, V. A. Kabanov, K. V. Aliev, E. F. Razvodovskii
1965 SovietRxiv: ru-196501.66147

This paper examines the unexpected formation of high-molecular-weight polyelectrolytes when 4-vinylpyridine reacts with alkyl halides or strong protonic acids to form salts. Using elemental analysis, viscosity measurements, inhibitor tests, comonomer experiments with styrene, and kinetic observation…

Information about the Izhevsk Seminar

A. Khokhryakov
1965 SovietRxiv: ru-196501.66072

This chronicle note surveys the development of the Izhevsk mathematical seminar, founded in 1954 at the Izhevsk Mechanical Institute under N. V. Azbelev. It traces the seminar’s shift from integral and differential inequalities, especially Urysohn and Chaplygin type theorems, to applications in exis…

Photoproduction of $\pi^+$ -mesons on hydrogen

Unknown
1965 SovietRxiv: ru-196501.66010

The paper reports measurements of the angular distribution and differential cross section for the reaction gamma plus proton to pi-plus plus neutron on liquid hydrogen at a photon energy near 230 MeV. Pi-plus mesons were identified with a scintillation counter telescope by range selection and delaye…

Reaction of Chloroform with 1-Heptene Initiated by Iron Pentacarbonyl in Combination with Amines

Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA
1965 SovietRxiv: ru-196501.65930

This paper examines the radical addition of chloroform to heptene-1 initiated by iron pentacarbonyl in the presence of tertiary amines, focusing on factors that shift the reaction from C-H bond cleavage to C-Cl bond cleavage. Experiments with aliphatic, aliphatic-aromatic, and heterocyclic amines of…

Ligand exchange in substituted ferrocenes

Academician A. N. NESMEYANOV, N. A. VOL’KENAU, L. S. SHILOVTSEVA
1965 SovietRxiv: ru-196501.65926

This study examines ligand exchange in substituted ferrocenes, extending earlier work on the conversion of ferrocene with aromatic hydrocarbons into arene cyclopentadienyliron cations. Mono- and disubstituted ferrocenes bearing ethyl, acetyl, cyano, and phenyl groups were reacted with benzene or mes…

Features of Conductivity and Photoconductivity of Thin Layers of the $\mathrm{Se}$ – $\mathrm{As}$ System in the Region of Strong Electric Fields

Unknown
1965 SovietRxiv: ru-196501.65897

This paper examines the conductivity and photoconductivity of thin amorphous selenium arsenic layers containing oxygen under strong electric fields. Layers prepared by vacuum evaporation were measured at room temperature with different electrode materials, compositions, thicknesses, illumination lev…

A New Synthesis of 2,3,4,5-Tetradehydrobiotin

B. P. FABRICHNYI, I. F. SHALAVINA, Ya. L. GOLDFARB
1965 SovietRxiv: ru-196501.65896

This paper reports a modified synthetic route to 2,3,4,5-tetradehydrobiotin from thiophene-fused lactam intermediates obtained through Beckmann rearrangement chemistry developed earlier by the authors. Bromination, nitration in concentrated sulfuric acid with potassium nitrate, copper-mediated debro…

Changes in the Strength of Some Substances in the Region of Polymorphic Transitions under Pressure

L. D. LIVSHITS, B. I. BERESNEV, Yu. S. GENSAFT, Yu. N. RYABININ
1965 SovietRxiv: ru-196501.65825

This study examines how polymorphic phase transitions under hydrostatic pressure affect the strength and plastic deformation of ionic crystalline materials. Rubidium chloride, silver nitrate, and lithographic limestone were subjected to axial compression at controlled high pressures, and reduced str…

Mass formulas in the supermultiplet model

Unknown
1965 SovietRxiv: ru-196501.65707

This paper reformulates the SU(6) supermultiplet model of strongly interacting particles in quark language, representing the basic sextet as a product of a unitary triplet and a spin doublet. Using this representation, it constructs meson, baryon, and isobar supermultiplets and applies first order s…

Optical method for forming a $p$ – $n$ junction

V. A. DROZDOV, Sh. D. KURMASHEV, A. L. RVACHEV
1965 SovietRxiv: ru-196501.65695

This paper reports an optical forming procedure for producing effective rectifying and photosensitive behavior in film heterojunctions of cuprous oxide and indium-doped cadmium sulfide. Samples initially showed nearly ohmic current-voltage characteristics and only weak photovoltaic response, but per…