Showing 50 of 25456 papers

Structure of Multinuclear Doubly Charged Uranium-Oxygen Complexes and Their Arrangement in the Structure of an Aqueous Solution

Unknown
1958 SovietRxiv: ru-195801.37658

This paper proposes structural models for polynuclear uranium, oxygen complexes formed by hydrolysis of uranyl salts in aqueous solution, especially the doubly charged cations U2O5 and U3O8 and related anionic uranate complexes. Using prior evidence on uranyl coordination, hydrolysis equilibria, sol…

Stability of an orthotropic cylindrical shell under torsion with internal pressure

V. M. DAREVSKII and S. N. KUKUDZHANOV
1958 SovietRxiv: ru-195801.37642

The paper analyzes the stability of a thin orthotropic cylindrical shell of medium length subjected to torsion in the presence of internal pressure, extending earlier results for isotropic shells. Starting from shell equilibrium equations with orthotropic elastic constants, the authors derive a Donn…

Preparation of halomethyl derivatives of aluminum by the diazoaliphatic method

L. Almashi, I. Felmeri, and A. Gants
1958 SovietRxiv: ru-195801.37536

The study examines the extension of the diazoaliphatic method to aluminum halides for preparing previously undescribed halomethyl derivatives of aluminum. Diazomethane was reacted with anhydrous aluminum fluoride, chloride, and bromide under nitrogen in ether at low temperature, and the products wer…

Catalytic Cracking of Some Unsymmetrical Diarylethanes

V. D. RYABOV and V. L. VAISER
1958 SovietRxiv: ru-195801.37533

This paper examines the catalytic cracking of several unsymmetrical diarylethanes as a route to vinylaromatic compounds. 1,1-(4,4′-diethyl)-diphenylethane, 1,1-(3,3′,4,4′-tetramethyl)-diphenylethane, and 1,1-di-(2-naphthyl)-ethane were cracked over an aluminosilicate catalyst at about 550°C in the p…

Mass spectrometric study of germanium dioxide sublimation

S. A. SHUKAREV and G. A. SEMENOV
1958 SovietRxiv: ru-195801.37367

This study investigates the sublimation of germanium dioxide by mass spectrometry, motivated by the importance of germanium surface oxides for semiconductor properties and by limited thermodynamic data. Using MS-1 and MS-4 instruments with electron-impact ionization, the authors measured mass spectr…

Development of a Method for Determining the Relaxation Time of an Excited Vibrational State of Molecules Using a Spectrophone

Unknown
1958 SovietRxiv: ru-195801.37154

This paper develops a spectrophone method for selectively determining the relaxation time of excited molecular vibrational states from measured phase shifts in an optico-acoustic receiver. It derives a direct functional relation between the phase shift and relaxation time over the full range of valu…

Study of EPR spectra of some polymers irradiated at $77^\circ$ K

Yu. D. Tsvetkov, N. N. Bubnov, M. A. Makul’skii,
1958 SovietRxiv: ru-195801.37046

This study uses electron paramagnetic resonance to examine free radicals formed in several polymers irradiated at 77 K, including polyethylene, polyvinyl chloride, Teflon, polysiloxane, methacrylates, polystyrene, polyisobutylene, and natural rubber. Comparison of spectra before and after thawing su…

Influence of Electronegative Elements on the Catalytic Action of Silver in the Oxidation of Ethylene

A. I. KURILENKO, N. V. KULKOVA, V. E. OSTROVSKII, and M. I. TEMKIN
1958 SovietRxiv: ru-195801.36978

This study examines how small amounts of electronegative additives, especially sulfur and chlorine species, affect the catalytic oxidation of ethylene over silver at 218°C. Using flow-circulation kinetic measurements and sulfur-35 labeling, the authors measured catalyst activity, selectivity toward …

Effect of Silica Gel Surface Dehydration on the Adsorption of Benzene and Hexane Vapors

L. D. BELYAKOVA and A. V. KISELEV
1958 SovietRxiv: ru-195801.36840

This study examines how thermal dehydration of macroporous KSK-2 silica gel affects adsorption of benzene and hexane vapors. Silica gel samples were calcined in vacuum at 200 to 1020 degrees, with water evolution, surface area, pore volume, hydroxyl concentration, and vapor adsorption isotherms meas…

On the Formation and Electrochemical Properties of Crystalline Modifications of Lead Dioxide

I. G. KISELEVA and B. N. KABANOV
1958 SovietRxiv: ru-195801.36704

This study examines how the alpha and beta crystalline modifications of lead dioxide form and how they differ electrochemically in sulfuric acid media. Using radiochemical adsorption measurements, X-ray diffraction, and overvoltage and discharge curves, the authors compare PbO2 deposits prepared fro…

Inverse Lie theorems for generalized shift operators

B. M. Levitan
1958 SovietRxiv: ru-195801.36651

This note proves partial converse results to earlier Lie-type direct theorems for operators of generalized translation on analytic manifolds. For two classes of infinitesimal differential operators, it gives commutation conditions under which the associated overdetermined Cauchy problems are compati…

On the Number of Solutions of a Homogeneous Singular Integral Equation with Continuous Coefficients

I. Ts. GOKHBERG
1958 SovietRxiv: ru-195801.36619

The paper studies homogeneous singular integral equations in L2 on a finite system of smooth closed contours with continuous coefficients satisfying a nonvanishing condition. Extending a result previously known for Hölder coefficients, it proves that the number of linearly independent solutions is d…

Study of the Catalytic Dehydrogenation of Hydrocarbons and Alcohols over Metallic Rhenium

A. A. BALANDIN, E. I. KARPEISKAYA, and A. A. TOLSTOPYATOVA
1958 SovietRxiv: ru-195801.36378

This study examines metallic rhenium on activated carbon as a catalyst for dehydrogenation reactions, motivated by predictions from the multiplet theory of catalysis. Rhenium catalysts prepared by impregnation with ammonium perrhenate or a rhenium oxide dioxane complex were tested with cyclohexane h…

EXTREMAL PROBLEMS IN THE CLASS OF TRIGONOMETRIC POLYNOMIALS

Unknown
1958 SovietRxiv: ru-195801.36367

The paper studies extremal inequalities for trigonometric polynomials of several variables, motivated by problems in approximation theory and by earlier results of Bernstein, Bari, and Nikol’skii. It establishes a general bound for linear functionals defined by integration against an arbitrary integ…

On the Two-Dimensional Thirring Model

M. E. MAYER and D. V. SHIRKOV
1958 SovietRxiv: ru-195801.36278

This paper analyzes two-particle scattering in the two-dimensional massless Thirring model with a nonlinear spinor self-interaction. The authors compute the second-order perturbative contribution to the scattering vertex, note the absence of ultraviolet divergences, and apply the renormalization-gro…

The Maximum Principle in the Theory of Optimal Processes

V. G. Boltyanskii
1958 SovietRxiv: ru-195801.36175

This note proves Pontryagin’s maximum principle as a necessary condition for time-optimal control of a dynamical system whose control parameter ranges over an arbitrary topological space. Using needle variations of a piecewise continuous control, the paper constructs a convex cone of attainability a…

Catalytic Curing of Polydimethylsiloxane at Room Temperature

N. B. BARANOVSKAYA, M. Z. ZAKHAROVA, A. I. MIZIKIN, and A. A. BERLIN
1958 SovietRxiv: ru-195801.36112

This paper investigates room temperature curing of liquid and rubber-like polydimethylsiloxanes, a process previously limited by the need for prolonged heating at high temperatures. The authors study crosslinking through reactions between hydroxyl-terminated polymers and polyfunctional organosilicon…

AN EXAMPLE OF A COMPLETELY REGULAR SPACE WITH A ZERO-DIMENSIONAL\* ČECH REMAINDER, NOT HAVING THE PROPERTY OF SEMIBICOMPACTNESS

A. *A zero-dimensional space remains zero-dimensional after the adjunction of one point.
1958 SovietRxiv: ru-195801.36102

The paper addresses Freudenthal’s proposed necessity of semibicompactness for spaces admitting compactifications with zero-dimensional remainders, identifying a flaw in the assertion that adjoining one point preserves zero-dimensionality in general. Using Dowker’s normal zero-dimensional space with …

A Criterion for the Existence of Certain Classes of Solutions of a Nonlinear Differential Equation and Some Estimates in the Small Parameter Method

A. E. GEL'MAN
1958 SovietRxiv: ru-195801.36077

The paper gives criteria for the existence of bounded, periodic, quasiperiodic, and almost-periodic solutions of nonlinear differential equations with constant-coefficient linear part. It first proves a lemma on the unique bounded solution of a linear inhomogeneous equation on the whole real axis, i…

On the Negative Part of the Spectrum of One-Dimensional and Multidimensional Differential Operators on Vector-Valued Functions

I. M. GLAZMAN
1958 SovietRxiv: ru-195801.36045

This note extends earlier results on the negative spectrum of self-adjoint differential operators acting on vector-valued functions, especially higher-order one-dimensional operators with Hermitian matrix potentials. Using quadratic form estimates expressed through the smallest and largest eigenvalu…

Production of Isoprene by Catalytic Dehydrogenation of Isopentenes

A. A. BALANDIN, O. K. BOGDANOVA, and A. P. SHCHEGLOVA
1958 SovietRxiv: ru-195801.35611

This study examines the catalytic dehydrogenation of isopentenes to isoprene as a route to synthetic rubber feedstocks from petroleum-derived hydrocarbons. Using a flow reactor, the authors varied temperature, isopentene space velocity, and steam dilution, and analyzed liquid and gaseous products to…

Creep of Zinc Single Crystals in Low-Melting Metal Melts

V. A. LABZIN and V. I. LIKHTMAN
1958 SovietRxiv: ru-195801.35478

This paper examines how low-melting metallic coatings affect the creep of zinc single crystals under constant tensile stress. Zinc single-crystal wires were coated electrolytically with thin films of tin, lead, or tin-lead alloys, and steady-state creep rates were measured from room temperature to a…

Synthesis of $n$-trialkylsilyl- and $n$-trialkylsilylalkylstyrenes

A. D. Petrov, E. A. Chernyshev, N. G. Tolstikova
1958 SovietRxiv: ru-195801.35436

This study develops synthetic routes to para ring substituted silicon containing styrenes, a class for which earlier reports gave limited preparative and property data. The authors prepared secondary and tertiary alcohol intermediates by Grignard reactions of brominated trialkylsilylphenyl, trialkyl…

INTERACTION OF TWO BODIES “EMITTING” GAS FLOWS

Unknown
1958 SovietRxiv: ru-195801.35360

This paper analyzes the interaction of two stationary spherical bodies that emit ultrarelativistic gas flows, using an equation of state with adiabatic index 4/3 and treating the mutual pressure balance of the outflows at large separations. It derives the geometry of the interaction surface, estimat…

On Implicit Operators

Unknown
1958 SovietRxiv: ru-195801.35291

This note studies implicit operators between Banach spaces, focusing on the convergence domain of the power series defining an analytic implicit solution and on estimates for its remainder. Under standard hypotheses of analyticity, a zero condition, and invertibility of the partial derivative with r…

Critical current for superconducting films

Unknown
1958 SovietRxiv: ru-195801.35206

The paper calculates the critical current at which superconductivity disappears in thin superconducting films deposited on cylindrical substrates, using the Ginzburg-Landau macroscopic theory in which current and magnetic field enter on comparable terms. Treating sufficiently thin films as plane lay…

FOSS SURFACES IN \(E_4\)

Unknown
1958 SovietRxiv: ru-195801.35089

This note extends the theory of Foss surfaces from three-dimensional Euclidean space to two-dimensional surfaces in four-dimensional Euclidean space, defined by a conjugate net whose two families are geodesics. Using moving frames and exterior differential systems, it derives the structural equation…

Synthesis of Logic Networks Whose Operators Are Described by Means of the Monadic Predicate Calculus

Unknown
1958 SovietRxiv: ru-195801.34937

This paper studies the synthesis of logical networks with memory when the desired operator is specified not by finite tables but by formulas of an extended calculus of unary predicates. It defines a class of time-controlled formulas over input predicates and proves that these formulas characterize e…

Application of Organozinc Compounds to the Synthesis of Carbon-Carbon Derivatives of Sugars

Yu. A. ZHDANOV, G. N. DOROFEENKO, and G. V. BOGDANOVA
1958 SovietRxiv: ru-195801.34521

This paper examines the use of organozinc reagents as an alternative to Grignard reagents for synthesizing carbon carbon derivatives of carbohydrates from acetohalogenoses. The authors reacted acetochloroglucose and acetochloroarabinose with phenylzinc chloride, p-anisylzinc chloride, and diphenylzi…

ON THE SYNTHESIS OF CONTACT CIRCUITS

Unknown
1958 SovietRxiv: ru-195801.34510

The paper studies the synthesis complexity of contact circuits realizing Boolean functions of n variables, focusing on the asymptotic number of contacts sufficient and necessary in the worst case. It develops a synthesis method based on decomposing Boolean function tables, partitioning binary tuples…

Analytic Continuation of Power Series and Faber Polynomials

V. P. KHAVIN
1958 SovietRxiv: ru-195801.34468

The paper studies criteria for analytic continuation of a power series initially convergent near infinity into a simply connected exterior domain whose complement is a compact set. Using Faber polynomials associated with the conformal map of the domain and Köthe’s description of continuous linear fu…

Effect of the atomic concentration of chromium, molybdenum, and tungsten on the properties of nickel solid solutions

Unknown
1958 SovietRxiv: ru-195801.34364

This study examines how atomic concentrations of chromium, molybdenum, and tungsten affect the properties of nickel solid solutions. Using physicochemical analysis, the authors measured lattice parameters, electrical resistivity, hardness at room and elevated temperatures, and heat resistance under …

Asymptotics of Integrals of Some Perturbed Systems

Unknown
1958 SovietRxiv: ru-195801.34351

This paper studies perturbed planar systems whose unperturbed motions form a family of periodic trajectories depending on slowly varying parameters. Using a change to variables given by an integral of the unperturbed system, the parameters, and the oscillation phase, the author applies averaging ove…

On the Principle of Reduction

V. I. ZUBOV
1958 SovietRxiv: ru-195801.33925

This paper develops a reduction method for studying stability of the zero solution of a system of ordinary differential equations split into two groups of variables. It formulates notions of strong stability for the reduced subsystem and gives Lyapunov-type sufficient conditions under which stabilit…

Scattering of Sound Waves in Irregular Waveguides

Unknown
1958 SovietRxiv: ru-195801.33604

This paper examines scattering of sound waves by irregularities in a rectangular waveguide, extending earlier small perturbation treatments to cases where the scattered field need not be small relative to the incident field. Using a modified Rytov method applied to normal wave propagation, it derive…

On the representation of large numbers by positive ternary quadratic forms with odd coprime invariants

Unknown
1958 SovietRxiv: ru-195801.33528

The paper studies representation of large integers by integral primitive positive ternary quadratic forms with odd relatively prime invariants. It proves lower and upper bounds, in terms of class numbers of positive binary quadratic forms, for the number of primitive representations satisfying local…

Theoretical Scheme of Air Circulation over Antarctica

Unknown
1958 SovietRxiv: ru-195801.33491

The paper proposes a theoretical scheme for atmospheric circulation over Antarctica, treating it as a two-layer system produced by thermal contrast between the cold ice surface and surrounding warmer oceans. Using Kochin’s theory of oscillations along an inclined interface between fluids, together w…