Showing 50 of 25357 papers

GROWTH OF A MEROMORPHIC FUNCTION ALONG A RAY

§ 1. In Nevanlinna theory the growth of entire functions is characterized by the quantity
1964 SovietRxiv: ru-196401.41679

This paper studies the relation between Nevanlinna growth and the growth of a meromorphic function on a fixed ray, extending earlier inequalities for entire functions. Using a Green function representation in a sector and integral estimates for boundary values and poles, it proves that if a meromorp…

$\mathrm{O}$- and $\mathrm{S}$-Alkylation of the Dialkyl Thiophosphate Anion with Triethyloxonium Tetrafluoroborate

T. A. Mastryukova, A. E. Shipov, V. V. Abalueva, E. M. Popov,
1964 SovietRxiv: ru-196401.41490

This paper examines the ambident reactivity of the sodium diethyl thiophosphate anion toward the strong electrophilic alkylating agent triethyloxonium borofluoride, in contrast to the usual sulfur alkylation observed with alkyl halides and related reagents. Alkylation in chloroform was followed by t…

On the approximation of solutions to boundary value problems for parabolic and hyperbolic equations using solutions of the Cauchy problem

Unknown
1964 SovietRxiv: ru-196401.41466

The paper studies the approximation of mixed boundary-value problems for second-order parabolic and hyperbolic equations by Cauchy problems posed in the whole space with coefficients depending on a small parameter. The coefficients are extended outside the original domain with prescribed powers of t…

On the Question of Four-Coordinate Chelates with Unsym

Corresponding Member of the Academy of Sciences of the USSR A. P. Terent’ev, E. G. Rukhadze, G. V. Panova
1964 SovietRxiv: ru-196401.41402

This study examines whether four-coordinate intracomplex chelates of salicylaldimine type can be obtained with two different ligands bound to the same metal center. Attempts using Schiff bases with chemically different amine residues gave X-ray evidence for mechanical mixtures of chelates containing…

Singular Integral Equations in Lipschitz Spaces

Unknown
1964 SovietRxiv: ru-196401.41398

This note develops a theory of singular integral operators and equations on closed Lyapunov manifolds in Lipschitz spaces, extending earlier multidimensional results obtained under stronger smoothness assumptions. It defines singular operators on manifolds via local coordinate representations, intro…

On the Detonation Velocity of Liquid Hydrazoic Acid

G. S. YAKOVLEVA, A. Ya. APIN, R. Kh. KURBANGALINA, L. N. STESIK
1964 SovietRxiv: ru-196401.41392

This paper reports measurements of the detonation velocity of liquid hydrazoic acid and selected aqueous solutions, motivated by the value of hydrazoic acid as a comparatively simple explosive system for studies of high pressure detonation products. The authors prepared hydrazoic acid from sodium az…

Transformations of Methylcyclononane in the Presence of an Iron–Platinum Catalyst

E. S. BALENKOVA, N. A. KHAFIZOVA, M. L. FRANK, S. I. KHROMOV,
1964 SovietRxiv: ru-196401.41363

Methylcyclononane was studied under dehydrogenation catalysis to determine how a methyl substituent affects transformations of the nine-membered cyclane ring. The hydrocarbon was synthesized and passed over an iron, platinum on carbon catalyst at 310° C, and the liquid products were separated and id…

Nuclear Magnetic Resonance of Protons in Water Adsorbed on Montmorillonite

Yu. I. Tarasevich, Academician of the Academy of Sciences of the Ukrainian SSR F. D. Ovcharenko,
1964 SovietRxiv: ru-196401.41331

This study investigates the state and mobility of water adsorbed on cation-substituted montmorillonite using proton nuclear magnetic resonance. Water vapor adsorption was measured for Ca-, Li-, and K-montmorillonite, and NMR line widths and relaxation times were determined as functions of water cont…

Reaction of cyclopentadienylmanganese tricarbonyl ketones with Normant's reagent

Academician A. N. Nesmeyanov, K. N. Anisimov, N. E. Kolobova,
1964 SovietRxiv: ru-196401.41320

The study examines reactions of acetyl, benzoyl, and p-toluyl derivatives of cyclopentadienylmanganese tricarbonyl with Normant’s reagent, vinylmagnesium bromide, in tetrahydrofuran. The reactions afforded the corresponding vinyl-substituted tertiary alcohols in moderate to high yields, with product…

Coercivity inequalities for abstract parabolic equations

Unknown
1964 SovietRxiv: ru-196401.41201

This paper studies coercivity estimates for abstract parabolic Cauchy problems in Banach spaces generated by strongly continuous semigroups. It proves that, in weighted Hölder-type spaces and their higher-order analogues, such coercivity is equivalent to strong positivity of the operator, characteri…

Isomerization of 2-hydroxypent-4-yn-2-ylcyclopentadienylmanganese tricarbonyl and 2-hydroxy-2-phenyl(methyl)pent-4-yne into the corresponding enones

G. K.-I. MAGOMEDOV
1964 SovietRxiv: ru-196401.41008

The paper examines acid-promoted isomerization of tertiary beta-acetylenic alcohols into the corresponding alpha,beta-unsaturated ketones, with emphasis on 2-hydroxypent-4-yn-2-yl-2-cyclopentadienylmanganese tricarbonyl. Heating with potassium bisulfate gives a crystalline enone complex assigned as …

On the Mechanism of Austenite Formation during Rapid Heating of Carbon Steels

V. N. Gridnev, V. N. Minakov, V. I. Trefilov
1964 SovietRxiv: ru-196401.40962

This paper examines whether austenite formation in carbon steels during rapid heating follows a diffusional mechanism consistent with the Fe, Fe3C equilibrium diagram or a proposed diffusionless metastable transformation. The authors developed a special X-ray apparatus to record alpha and gamma phas…

Investigation of a Class of Nonlinear Singular Equations with Hilbert Kernel

In the present article we study the equation
1964 SovietRxiv: ru-196401.40911

This paper studies a nonlinear singular integral equation with Hilbert kernel in the generalized Hölder-type space \(H_k(\varphi)\). It establishes auxiliary compactness, convergence, and boundedness properties for this function space and for the associated singular integral operator, then proves th…

Interaction of Polychloroprene with Thiobenzoic Acid

Unknown
1964 SovietRxiv: ru-196401.40814

This study examines the addition of thiobenzoic acid to polychloroprene in order to assess how the electronegative chlorine atom affects the reactivity of double bonds in diene polymers. Kinetic experiments were conducted in benzene, xylene, and chlorobenzene under argon, with varying temperature, r…

Glass Electrode Sensitive to Changes in the Oxidation Potential of a Solution

A. A. BELYUSTIN, A. M. PISAREVSKII, M. M. SHULTS,
1964 SovietRxiv: ru-196401.40777

This paper investigates whether glass electrodes made from sodium silicate glasses containing iron oxides can respond to the oxidation potential of a solution, unlike ordinary glass electrodes with purely ionic conductivity. The authors compare glasses melted under oxidizing conditions with low-resi…

A Statistical Approach to the Well-Posedness of Problems in Mathematical Physics

V. N. SUDAKOV, L. A. KHALFIN
1964 SovietRxiv: ru-196401.40548

The paper proposes a statistical formulation of well-posedness for problems of mathematical physics whose initial or boundary data are obtained with experimental error and are treated as realizations of random processes. Focusing on the Cauchy problem for the Laplace equation in a strip, it derives …

On the structure of the aglycone of panaxoside $\mathrm{A}$

G. B. Elyakov, L. I. Strigina, Corresponding Member of the Academy of Sciences of the USSR N. K. Kochetkov
1964 SovietRxiv: ru-196401.40524

This study examines the aglycone formed from panaxoside A, a glycoside isolated from ginseng roots, and compares its hydrolysis behavior with that of related panaxosides. Acid hydrolysis, chromatographic separation, elemental and functional group analyses, infrared, ultraviolet, nuclear magnetic res…

ON THE FOUNDATIONS OF GEOMETRY

Unknown
1964 SovietRxiv: ru-196401.40474

This paper develops a unified axiomatic foundation for geometries with free mobility whose metric may be positive definite, alternating, or degenerate, using points, lines, order, incidence, motion, and a distinguished class of postulated lines. It introduces variable postulates governing homogeneit…

On Integral Transforms in the Complex Domain

Unknown
1964 SovietRxiv: ru-196401.40453

The paper studies integral transformations in the complex plane with kernels built from Mittag-Leffler type functions, extending Fourier-Plancherel and Paley-Wiener theory to sets formed by finitely many nonoverlapping rays and angular domains with a common vertex. It defines weighted square-integra…

Synthesis of Aldehyde and Keto Alcohols of the Furan Series

S. V. ZAKHAROVA, R. A. KARAKHANOV, I. IBRAKHIMOV
1964 SovietRxiv: ru-196401.40425

The study examines acid-catalyzed reactions of furan alcohols bearing hydroxyl groups in the gamma and epsilon positions relative to the furan ring with alpha,beta-unsaturated aldehydes and ketones, particularly substrates containing alkyl substituents at the double bond. Primary and secondary furyl…

On Some Properties of Analytic Functions of the Class $H'_p$

Unknown
1964 SovietRxiv: ru-196401.40402

This paper studies analytic functions in the unit disk belonging to the area integral class H′p and compares this class with the classical Hardy classes Hp. It proves several inclusion and noninclusion results involving derivatives, including conditions under which f′ in H′1 implies f in H1, when me…

Effect of pH on Hydrogen Adsorption by Platinized Platinum

Academician of the Academy of Sciences of the Kazakh SSR D. V. SOKOLSKII
1964 SovietRxiv: ru-196401.40393

This study examines how solution pH affects hydrogen adsorption on platinized platinum, a question relevant to the kinetics and mechanism of liquid phase hydrogenation. Using the charging curve method, experiments were conducted in sulfate solutions with constant sulfate ion concentration and in Bri…

GROUP CLASSIFICATION OF EQUATIONS DESCRIBING ONE-DIMENSIONAL UNSTEADY GAS FLOWS

Consider the following system of equations describing one-dimensional unsteady flows in the hydraulic approximation:
1964 SovietRxiv: ru-196401.40318

This paper gives a group classification of the equations for one-dimensional unsteady adiabatic gas flow in the hydraulic approximation, allowing an arbitrary dependence of the flow-tube cross section on position and an arbitrary thermodynamic function. By deriving and analyzing the determining equa…

Correlation Equations for Some Catalytic Reactions

Unknown
1964 SovietRxiv: ru-196401.40089

This paper examines quantitative correlations between reaction rates and conjugation-related properties for catalytic hydrogenation and related hydrogen-transfer reactions. By comparing published kinetic data, the authors argue that many heterogeneous hydrogenations of aromatic, conjugated, and quin…

On the Dissociation of Molecular Ions

L. V. SUMIN, M. V. GUR’EV
1964 SovietRxiv: ru-196401.40073

This paper examines whether dissociation of large molecular ions formed by electron impact proceeds by a rapid local mechanism or by a slower statistical redistribution of excitation. The authors develop a mass-spectrometric method based on measuring anisotropy in the angular, or velocity-projection…

Equilibrium Conditions and Mechanism of Hydrogen Reduction of Solid Solutions in the $\mathrm{Fe}$ – $\mathrm{Cr}$ – $\mathrm{O}$ System

V. F. Balakirev, M. I. Simonova, G. I. Chufarov
1964 SovietRxiv: ru-196401.40042

This study examines equilibrium conditions and hydrogen reduction mechanisms for spinel solid solutions in the Fe, Cr, O system at 1000 C over the composition range FeCr2-xFexO4. Solid solutions were prepared by ceramic synthesis and reduction, then characterized by X-ray diffraction, while gas phas…

On the Issue of Electron Temperature in a High-Power Pulsed Discharge

Yu. K. ZEMTSOV, V. D. PISMENNYI, and I. M. PODGORNYI
1964 SovietRxiv: ru-196401.39790

This paper examines why spectroscopic measurements in a powerful pulsed discharge indicate electron temperatures much lower than ion temperatures during maximum plasma compression. The authors model electron and ion temperature relaxation at electron density about 10^17 cm^-3, including Coulomb ener…

On the Possibility of Synthesizing Organosilicon Compounds Containing a Three-Membered Ethylenimine Heterocycle in the Hydrocarbon Radical

I. A. Grushevenko
1964 SovietRxiv: ru-196401.39730

The paper examines the addition of ethylenimine and, for comparison, diethylamine to alkenylsilanes as a route to organosilicon compounds containing an ethylenimine heterocycle in the hydrocarbon radical. A series of vinyl, allyl, butenyl, styryl, and hydrocarbon analog substrates was tested with so…

On the Optimal Linearization of a Nonlinear Controlled Plant with Unknown Parameters by a Linear System with Constant Parameters in the Absence of Disturbances

Academician V. S. KULEBAKIN, Zh. B. LINKOVSKII
1964 SovietRxiv: ru-196401.39658

The paper addresses optimal linearization of a nonlinear single input, single output control object with unknown parameters in the absence of disturbances, using observed deterministic input and output signals. It formulates the replacement of the object by an initially unexcited linear system with …

Method for Finding Green's Functions of Boundary Value Problems for the Heat Equation on a Line Segment with Uniformly Moving Boundaries

V. I. Kvalvasser, Ya. F. Rutner
1964 SovietRxiv: ru-196401.39637

The paper develops a method for determining Green’s functions for boundary-value problems of the heat-conduction equation on a line segment whose endpoints move uniformly. By transforming to a coordinate system moving with one boundary, applying Laplace transforms and the Riemann-Mellin inversion fo…

On the Stability of Certain Computational Processes

Unknown
1964 SovietRxiv: ru-196401.39613

This paper studies stability of sequences of linear computational problems in Banach spaces under perturbations of both the operator and the right hand side. It gives necessary and sufficient conditions for stability in terms of uniform boundedness of the inverse operators and of the quantities obta…

Manifestation of $\sigma$ , $\pi$ -conjugation in the spectra of $\beta$ -alkenylgermanes as a function of steric factors

L. A. LEITES, T. K. GAR, V. F. MIRONOV
1964 SovietRxiv: ru-196401.39466

This study examines the so-called beta effect in beta-alkenylgermanes by measuring Raman intensities of the carbon-carbon double-bond vibration as a function of molecular geometry. Several alkenylgermanes were synthesized, including beta-(trichlorogermyl)cyclopentene and bis(germyl)-substituted bute…

Study of the State of Radioactive Isotopes in Extremely Dilute Solutions by the Diffusion Method

Corresponding Member of the Academy of Sciences of the USSR **I. E. Starik**, F. L. Ginzburg,
1964 SovietRxiv: ru-196401.39443

This study applies diffusion measurements to determine the state of radioactive isotopes in extremely dilute aqueous solutions, where diffusing particles can be treated as moving independently and complications from concentrated solutions are reduced. Using open capillary and related methods with co…

Synthesis of Alkaloid-Peptide Compounds

Unknown
1964 SovietRxiv: ru-196401.39359

This paper describes the synthesis of alkaloid, amino acid, peptide, and heterocyclic acid derivatives intended as possible complexes of medicinal compounds with modified pharmacological properties. Using mixed anhydride methods with carbobenzoxy protecting groups, the authors prepared a series of c…

On the Mechanism of Cyclic Trimerization of Acetylenes on Complex Organometallic Catalysts

V. O. Reikhsfel'd, K. L. Makovetskii
1964 SovietRxiv: ru-196401.39222

This paper examines the mechanism of acetylene cyclotrimerization on Ziegler-type organometallic catalysts, focusing on systems based on titanium compounds and aluminum alkyls. Experimental comparisons of substituted acetylenes, mixed trimerizations, solvent effects, electron-donor additives, and va…

On a Method for Solving the Boltzmann Kinetic Equation

Corresponding Member of the Academy of Sciences of the USSR V. V. Struminskii
1964 SovietRxiv: ru-196401.39081

This paper proposes a modified small-parameter method for solving the Boltzmann kinetic equation, motivated by Poincaré’s treatment of auxiliary variables in asymptotic expansions. The distribution function is expanded while its dependence on density, velocity, pressure, and a rescaled time is used …

Generalized Normal Waves in Chain Structures

Unknown
1964 SovietRxiv: ru-196401.39080

This paper develops a theory of generalized normal waves in chains of nonidentical linear cells, such as transmission lines, cables, and waveguides, where ordinary normal waves generally need not exist. It defines waves by rank according to invariant subspaces of the cell transformation matrices, di…

Reactivity of Hydrocarbons and Their Derivatives in the Polyrecombination Reaction

S. L. SOSIN, Corresponding Member of the Academy of Sciences of the USSR V. V. KORSHAK, D. G. VALKOVSKII
1964 SovietRxiv: ru-196401.39041

This study examines the reactivity of hydrocarbons and related compounds in the initial hydrogen abstraction step of polymer formation by polyrecombination. Reactivity toward tert-butoxy radicals was estimated from tert-butyl alcohol and acetone ratios formed during decomposition of tert-butyl perox…