Unknown
This study examines charge-transfer complex formation between ferrocene as an electron donor and trinitrobenzene derivatives, including sym-trinitrobenzene, picric acid, and picryl chloride, as acceptors. Spectrophotometric measurements in 1,2-dichloroethane and chloroform, analyzed by Job’s method …
§ 1. In Nevanlinna theory the growth of entire functions is characterized by the quantity
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…
Unknown
This paper studies a nonstationary problem in relativistic gas dynamics and magnetogasdynamics with two cyclic coordinates. By deriving symmetry integrals, it reduces the governing Maxwell, continuity, and motion equations to two quasilinear scalar equations for density and longitudinal velocity, th…
D. Doichinov
The paper proposes a general framework intended to unify ordinary topological spaces, proximity spaces, and uniform spaces through families of set-valued mappings defined relative to specified collections of subsets. It formulates axioms for a “topology in the broad sense,” defines bases, comparison…
T. A. Mastryukova, A. E. Shipov, V. V. Abalueva, E. M. Popov,
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…
Unknown
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…
Corresponding Member of the Academy of Sciences of the USSR A. P. Terent’ev, E. G. Rukhadze, G. V. Panova
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…
Unknown
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…
G. S. YAKOVLEVA, A. Ya. APIN, R. Kh. KURBANGALINA, L. N. STESIK
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…
E. S. BALENKOVA, N. A. KHAFIZOVA, M. L. FRANK, S. I. KHROMOV,
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…
Yu. I. Tarasevich, Academician of the Academy of Sciences of the Ukrainian SSR F. D. Ovcharenko,
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…
Academician A. N. Nesmeyanov, K. N. Anisimov, N. E. Kolobova,
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…
Unknown
This note studies internal extensions of incomplete Archimedean planes and spaces satisfying selected Hilbert axioms, focusing on relations between real and ideal elements without increasing dimension. It establishes properties of real and ideal circles and spheres, including the nonexistence of rea…
Unknown
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…
B. I. Vainshtein
The paper proposes a method for calculating the integral absorbed power and energy efficiency of gamma radiation in macrosystems of arbitrary configuration. Starting from energy balance relations for primary, scattered, and incident radiation, it derives expressions for a centrally irradiated absorb…
G. K.-I. MAGOMEDOV
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 …
V. N. Gridnev, V. N. Minakov, V. I. Trefilov
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…
Unknown
The paper develops estimates for the spectral radius of bounded linear operators, motivated by the difficulty of computing the spectral radius from powers of the operator and by the crudeness of norm estimates. Using an order-theoretic theorem for positive operators dominated with respect to normal …
In the present article we study the equation
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…
Unknown
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…
A. A. BELYUSTIN, A. M. PISAREVSKII, M. M. SHULTS,
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…
V. N. SUDAKOV, L. A. KHALFIN
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 …
G. B. Elyakov, L. I. Strigina, Corresponding Member of the Academy of Sciences of the USSR N. K. Kochetkov
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…
Unknown
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…
Unknown
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…
S. V. ZAKHAROVA, R. A. KARAKHANOV, I. IBRAKHIMOV
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…
Unknown
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…
Academician of the Academy of Sciences of the Kazakh SSR D. V. SOKOLSKII
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…
Consider the following system of equations describing one-dimensional unsteady flows in the hydraulic approximation:
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…
G. A. Bross
This paper examines the low-temperature properties of an isotropic ferromagnetic dielectric with arbitrary spin, focusing on magnetization and spin-wave excitations. Using two-time temperature Green’s functions, the author introduces a perturbative decoupling scheme with a small parameter and derive…
Unknown
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…
Unknown
This study examines how modifications of the uracil nucleus in uridine diphosphate glucose analogs affect their participation in oxidation by UDPG dehydrogenase. Using a purified calf liver enzyme preparation, the authors measured NAD reduction, glucuronic acid formation, reaction rates at saturatin…
L. V. SUMIN, M. V. GUR’EV
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…
V. F. Balakirev, M. I. Simonova, G. I. Chufarov
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…
S. A. TERSENOV
The paper studies a modified Riemann-Hilbert boundary value problem for a first-order elliptic system that degenerates on a segment of the boundary. Rewriting the system in complex form, it derives solvability and uniqueness results according to the parameter governing the degeneration, the index of…
Unknown
This study examines adsorption layers formed by selected group III and V metals on molten germanium, motivated by the role of surface-active dopants in semiconductor properties. Surface tension measurements for germanium alloys containing gallium, indium, thallium, antimony, and bismuth were made by…
Yu. K. ZEMTSOV, V. D. PISMENNYI, and I. M. PODGORNYI
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…
I. A. Grushevenko
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…
Academician V. S. KULEBAKIN, Zh. B. LINKOVSKII
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 …
V. I. Kvalvasser, Ya. F. Rutner
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…
Unknown
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…
L. A. LEITES, T. K. GAR, V. F. MIRONOV
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…
Corresponding Member of the Academy of Sciences of the USSR **I. E. Starik**, F. L. Ginzburg,
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…
Unknown
This study examines how grafting polystyrene onto capron fibers affects their surface properties, especially wettability by polyester and epoxy resins and adhesion after resin curing. Polystyrene was grafted from styrene vapor onto gamma-irradiated fibers, with radical decay monitored by EPR and wei…
Unknown
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…
Unknown
This paper generalizes P. S. Alexandrov’s theorem on one-point bicompactification to non-bicompact T1 spaces using the notion of a noncontractible bicompact extension. It constructs a space by adjoining a single point and defining neighborhoods of that point as complements of closed bicompact subset…
V. O. Reikhsfel'd, K. L. Makovetskii
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…
Corresponding Member of the Academy of Sciences of the USSR V. V. Struminskii
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 …
Unknown
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…
S. L. SOSIN, Corresponding Member of the Academy of Sciences of the USSR V. V. KORSHAK, D. G. VALKOVSKII
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…