V. N. VILYUNOV
This paper develops a theoretical treatment of erosive burning, the increase in propellant burning rate caused by turbulent gas flow over a burning surface. Starting from stationary combustion theory, it formulates coupled momentum, heat, and species equations with turbulent transport terms, then de…
S. N. MERGELYAN
The paper develops a general reduction scheme for closed bounded plane sets relative to any regular class defined by monotonicity and finite additivity. It introduces transfinite derived sets and kernels for such classes, proves a decomposition lemma characterizing reducible sets as countable unions…
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This paper addresses the difficulty of applying extraction photometry to colored complexes formed by arsenazo and thoron group reagents, whose water solubility and ionic character had previously limited their use to aqueous photometric determinations. The authors propose extraction systems based on …
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This paper develops several invariants related to the genus of a fibred space or, equivalently, of a space with a topological group action. It introduces the S-genus, dual genus, dual homological genus, and dual S-genus, establishes comparison results with homological genus, and relates dual genus t…
V. L. ANTONOVSKII and B. I. MAKHALETS
This study examines the sequence of side product formation during liquid phase oxidation of cumene to cumene hydroperoxide under conditions close to industrial practice. Cumene was oxidized with air at 115 degrees C in a bubbling reactor, and hydroperoxide, peroxide, acetophenone, and dimethylphenyl…
I. S. GORBAN’ and V. B. TIMOFEEV
This paper reports experimental evidence for complex birefringence in cubic cuprous oxide near the longest wavelength exciton absorption line of the yellow series. Using polarized light, low temperature single crystal plates, and a Fabry Perot interferometer with a prism spectrograph, the authors me…
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This paper examines the structural interpretation of hydrated and anhydrous uranates, arguing against models based on discrete hydroxo-aqua or polynuclear uranate ions when they neglect crystallographic evidence from anhydrous compounds. On the basis of X-ray investigations and comparison with known…
V. I. ARNOLD
This paper studies the stability of an elliptic equilibrium of an analytic, time-periodic Hamiltonian system with one degree of freedom, in the nondegenerate general elliptic case. It proves stability for irrational linear frequencies belonging to a full-measure Diophantine class by establishing the…
Jan MICHALSKI and Anna MARKOWSKA
This communication reports the preparation and reactivity of selenium analogs of previously studied chlorothiophosphoryl compounds, focusing on diethyl-Se-chloroselenophosphate. The compound is generated by chlorination of triethyl selenophosphate with sulfuryl chloride in benzene at low temperature…
Academician of the Academy of Sciences of the Armenian SSR M. M. Dzhrbashian
This paper studies the closure and completion in L2 on the positive half-line of systems of exponential monomials with complex exponents of positive real part, in the case where the Müntz completeness condition fails. Using Blaschke products, Fourier boundary values, orthogonalization, and the analy…
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This study examines whether the tetrahydrofuran ring can be dehydrogenated to a furan ring under conditions where competing isomerization to aliphatic carbonyl compounds is known to dominate on platinum. Using 2-methyltetrahydrofuran as a model substrate, the authors tested rhodium, osmium, iridium,…
I. P. GOLDSTEIN, N. Kh. FAIZI, N. A. SLOVOKHOTOVA, E. N. GURYANOVA,
This study examines complexes formed by asymmetrical diphenylethylene with tin tetrachloride, phenyltin trichloride, and diphenyltin dichloride, motivated by the role of tin halides in cationic polymerization. Electronic spectroscopy, infrared spectroscopy, and dielectric polarization measurements w…
O. V. MANTUROV
This note classifies homogeneous nonsymmetric Riemannian spaces of the form G/H whose connected compact stationary subgroup acts irreducibly on the tangent space, for compact simple motion groups of orthogonal and symplectic types, with comments on exceptional cases. The problem is reduced to determ…
D. P. ZHELOBENKO
This paper gives a construction and classification of all finite-dimensional irreducible representations of an arbitrary connected Lie group, developed in detail for connected semisimple complex Lie groups and then reduced to the general case. Using a global Gauss decomposition with Cartan and nilpo…
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This paper studies the representation of functions on an interval by quasi-power series defined through a prescribed nondecreasing sequence of exponents and associated generalized derivatives. It introduces classes characterized by finite order of uniform convergence and by integral bounds on succes…
D. I. Ryabchikov and E. K. Korchemnaya
This paper examines the products formed when rare-earth element salts react with alkali-metal citrates at a 1:1 metal to citrate ratio, a case previously treated as simple citrate precipitation. Using precipitation tests, pH variation, analytical composition measurements, and tracer experiments with…
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This study examines the hydrolysis of fluorohalobenzenes as a route to fluorophenols, focusing on the relative lability of halogen atoms under catalytic and noncatalytic conditions. Using aqueous alkali-metal fluorides, potassium bifluoride, or potassium acetate in the presence of copper oxide, brom…
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The paper formulates an infinite-dimensional analogue of the linear programming problem in spaces of continuous functions and functions of bounded variation, with inequality and equality constraints expressed by Radon-Stieltjes integrals. It establishes an optimality criterion in terms of nonnegativ…
A. V. Pogorelov
This note studies elastic postcritical deformations of cylindrical shells hinged at the edges under uniformly distributed external pressure, focusing on large deflections beyond the scope of linear theory. The analysis approximates the postcritical shell shape by an isometric surface developed from …
O. B. LUPANOV
This note studies the asymptotic complexity of realizing Boolean functions by formulas of bounded depth over conjunction, disjunction, and negation, using the number of variable occurrences as the complexity measure. It defines nested classes generalizing disjunctive and conjunctive normal forms and…
B. A. SHULYAK
This paper addresses the reconstruction of wave-flow conditions from preserved ripple structures in sandy sediments, a problem important for interpreting depositional environments. It develops a method that combines previously derived relations for ripple spacing and height with additional constrain…
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This note studies centers and cocenters, defined as projective and inductive limits of nuclear Riesz scales of Banach spaces, and relates them to Hilbert scales and Köthe sequence spaces. It proves that centers of nuclear Riesz scales admit Hilbert scale representations, have bases, and are isomorph…
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This study addresses the reproducible synthesis and thermal behavior of zirconium and hafnium oxynitrate dihydrates, compounds for which prior compositional data were incomplete or contradictory. Using zirconium and hafnium octahydrate oxychlorides treated with concentrated nitric acid, the authors …
P. P. Otopkov, Ya. I. Gerasimov, A. M. Evseev
This study examines the thermodynamic properties of cerium-lead, praseodymium-lead, and neodymium-lead alloys, systems for which phase diagrams and alloy thermodynamics were incompletely known. Lead activities were determined from saturated vapor pressure measurements over 700 to 900 °C for alloys i…
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This paper relates connected abstract automata to special partitions of free semigroups with identity. It defines automaton partitions and semigroup partitions, then proves that every automaton partition determines a corresponding connected automaton and that every connected automaton can be recover…
V. P. KONOPLEV
This paper studies asymptotic properties of polynomials orthogonal on a finite interval with weight functions that may vanish or become infinite at specified points, a setting not covered by standard analytic methods. It establishes a differential recurrence equation for such orthogonal polynomials …
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This study measures the angular anisotropy of fission fragments from uranium 233 induced by neutrons with energies from about 100 to 1000 keV, a range in which fission is expected to involve only low angular momentum states. Using neutrons from tritium and lithium proton reactions and a two layer io…
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This note studies ultimate boundedness for several classes of nonlinear third order differential equations with bounded nonautonomous perturbations. It extends a previous boundedness result by formulating three theorems under growth and sign conditions on the nonlinear terms, using changes of variab…
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This study quantitatively compares the acidic properties of the cis and trans isomers of the platinum glycine complex (Pt(glh)2(NH3)2)Cl2. The isomers were prepared, analyzed, and subjected to potentiometric titration with alkali at controlled ionic strength, with successive dissociation constants c…
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This paper studies the geodesic flow on the space of line elements of a compact two-dimensional Riemannian surface of negative curvature, extending Hopf’s ergodicity result to questions of spectrum and mixing. Using horocycles on variable negative curvature surfaces, estimates for their contraction …
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The study examines how fluorescence quenchers affect solvent-dependent fluorescence spectra of 2-acetylanthracene and selected phthalimide derivatives in hydrocarbon solutions containing small amounts of active solvents such as alcohols or pyridine. Using spectral measurements with quenchers includi…
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Electron paramagnetic resonance spectra were measured at 9375 Mc/s for chloroform solutions of several copper complexes of oxyazo compounds, with additional observations in other solvents, frozen solutions, polycrystalline samples, and acetylacetone. The spectra show four principal hyperfine lines f…
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This paper studies solvability and index properties for general elliptic boundary value problems with one unknown function in a smooth bounded domain of Euclidean space. It formulates ellipticity through the Lopatinskii condition for the differential operator and boundary operators, proves equivalen…
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Proton magnetic resonance was used to study a polycrystalline sample of selenourea over the temperature range from 77 K to room temperature, with emphasis on the temperature dependence of the second moment of the proton resonance absorption line. The low temperature second moment was used to estimat…
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This paper studies a degenerate variational problem whose Euler equation is the elliptic Monge-Ampère equation, with convexity replacing the missing second boundary condition. The functional is extended from smooth functions to nonnegative continuous functions with prescribed boundary values by usin…
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The paper examines the in plane stability of a rectangular elastic strip compressed by uniform pressure on two opposite sides, addressing earlier treatments in which higher order effects were retained in boundary conditions but neglected in equilibrium equations. Using Novozhilov’s equilibrium equat…
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This study experimentally examines the acid, base filtration effect proposed to explain hydrothermal differentiation, focusing on whether anions and cations move at different rates through fine-pored media. More than 100 filtration experiments were conducted with 0.1 to 0.001 N copper and iron chlor…
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The paper reports an X-ray crystallographic determination of the room-temperature gamma modification of rubidium di(meta)-fluoroberyllate, RbBe2F5, a fluoroberyllate considered as a structural model for silicates. From goniometric data, Patterson methods, difference syntheses, and electron-density r…
V. V. KAZAKEVICH and A. P. YURKEVICH
This paper examines extremal control of inertial objects under low-frequency and strong external disturbances, focusing on cases where ordinary extremal regulators require reduced search speeds and therefore lose disturbance immunity. For a first-order object, the authors analyze transient processes…
N. I. GORBAN’, V. V. AZATYAN, and A. B. NALBANDYAN
This paper determines the heterogeneous recombination coefficient of oxygen atoms on a quartz surface coated with potassium tetraborate, a parameter important for chain oxidation and combustion reactions. The authors use first ignition limits of carbon monoxide and oxygen mixtures with small hydroge…
A. N. FRUMKIN, R. I. KAGANOVICH, and E. S. BIT-POPOVA
This paper examines adsorption of polar aromatic compounds and their hydroaromatic analogs at the mercury, solution interface, with comparison to adsorption at the solution, air interface. Electrocapillary curves measured with a Gouy electrometer, together with surface tension measurements, are used…
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The study determines the standard oxidation-reduction potential of the U3+/U4+ system in an equimolar molten NaCl-KCl mixture at 690 to 810°C, addressing discrepancies in earlier measurements made in other chloride melts with different reference electrodes. Potentiometric titration of UCl4 with meta…
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This paper studies propagation of smoothness for generalized solutions of linear partial differential equations with constant coefficients. It gives conditions under which a solution that is infinitely differentiable near part of the boundary of a domain, or outside a closed convex set, is in fact i…
V. N. Bogoslovskii, N. M. Stafeeva
The study examines the kinetics and phase transformations involved in reducing rhombohedral monovalent copper ferrite, CuFeO2, with graphite under vacuum at 900 to 1050 degrees Celsius. Single-phase ferrite prepared from cuprous oxide and ferric oxide was reduced while reaction progress was measured…
M. M. EGOROV
This paper examines the hydrated surface of catalytically active alumina, especially gamma aluminum oxide, and relates surface hydroxyl structure to adsorption and possible catalytic behavior. Using crystallographic models for hydrargillite, corundum, and defective spinel gamma alumina, it estimates…
Ya. B. ZELDOVICH
This paper examines how molecular symmetry can influence the melting temperature of molecular crystals, using isomeric organic compounds as illustrative cases. It argues that, under simplifying assumptions, molecular symmetry lowers the rotational entropy of the liquid by a term involving the molecu…
V. F. EVDOKIMOV, I. Ya. PODDUBNYI, and I. A. KUZIN
This study examines titanium tetrachloride and tin tetrachloride as radical acceptors in the gamma radiolysis of hydrocarbon and organosilicon media. Solutions of these tetrachlorides in n-octane, benzene, and octamethylcyclotetrasiloxane were irradiated with cobalt-60, and reduction products were a…
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This note studies the complexity of Boolean formulas over the basis of disjunction, conjunction, and negation, where complexity is measured by the number of variable occurrences, equivalently the number of contacts in a series parallel contact circuit. Focusing on linear Boolean functions of the for…
Academician of the Academy of Sciences of the BSSR A. N. Sevchenko and I. P. Zyatkov
This study examines the infrared spectra of unsymmetrical diacyl peroxides in order to clarify spectral features associated with peroxide formation, since prior assignments of O-O vibrations were inconsistent. Spectra were recorded for acetyl-p-chlorobenzoyl, acetyl-m-chlorobenzoyl, acetyl-o-chlorob…