R. A. Gavar, Ya. P. Stradyn’, Academician of the Academy of Sciences of the Latvian SSR S. A. Giller
This study investigates the electrochemical formation of radical anions in 5-nitrofuran and several substituted 5-nitrofuran derivatives, proposed as primary products of polarographic reduction. The authors generated these short-lived species by microelectrolysis in aqueous neutral or slightly alkal…
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This study investigates the direct reaction of di-, tri-, and tetrachloromethanes with metallic lithium as an alternative route to chlorocarbenes that avoids the competing reactions associated with organolithium reagents. Experiments in tetrahydrofuran showed that dichloromethane, chloroform, carbon…
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The paper formulates a linear programming model for distributing multiple product types from enterprises to consumers through intermediate points with limited processing capacities, covering operations such as transshipment, storage, sorting, packaging, assembly, or further production. It gives nece…
A. A. BOKSERMAN, Yu. P. ZHELTOV, A. A. KOCHESHKOV
This paper formulates a continuum description of immiscible oil and water motion in a hydrophilic fractured porous medium during water injection. The authors combine a balance equation for capillary imbibition of water into porous blocks with two phase filtration equations in the fracture system, us…
S. N. Lvov, V. F. Nemchenko, T. Ya. Kosolapova, G. V. Samsonov
This study examines the physical properties of titanium carbide across its homogeneity range, focusing on discrepancies in reported temperature dependences of electrical resistivity. Titanium carbide specimens with varying carbon deficiency were prepared by reaction with titanium and hot pressing, t…
A. L. SHMELKIN
The paper studies products of varieties of groups through a generalized wreath product construction based on verbal products. It defines the verbal wreath product associated with a system of identities, records its basic functorial and structural properties, and proves an embedding theorem for quoti…
A. A. Nikitin, O. A. Yakubovskii
This paper examines forbidden quadrupole spectral lines associated with the first excited configurations 2s2p2 and 3s3p2 in isoelectronic coronal sequences relevant to solar and stellar plasma diagnostics. Using LS coupling formulas for quadrupole line strengths, the authors derive matrix elements f…
Yu. A. KLYUEV
This study examines how pressures up to 25,000 kg/cm² affect the near infrared absorption spectrum of benzene in the 4300 to 6000 cm⁻¹ region. Measurements of benzene compressed in alkali halide pressure media show that liquid benzene bands shift to lower frequencies with increasing pressure, while …
A study of this type was carried out for the extraction system
This paper examines the extraction behavior of the system lanthanum nitrate, nitric acid, water, and tributyl phosphate at 25 degrees Celsius across a broad concentration range. Using isothermal equilibration, complexometric determination of lanthanum, Fischer water analysis, acid titration, and gra…
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The paper develops a general local method for studying the Noether property of bounded linear operators of local type on vector-valued spaces over finite-dimensional compact Hausdorff measure spaces. It introduces local left and right regularizers, equivalence and quasi-equivalence at a point, and e…
A. E. Ezheleva
A gas chromatographic method is described for quantitative analysis of mixtures of volatile inorganic hydrides of elements from groups IV to VI, a class of compounds requiring exclusion of oxygen and moisture. The apparatus used highly purified nitrogen as carrier gas, a sealed column system with se…
V. V. ZELENTSOV, V. T. KALINNIKOV
The study examines anomalous magnetic behavior in vanadyl compounds with carboxylic acids, motivated by earlier observations that ligand structure strongly affects the susceptibility of vanadyl inner-complex compounds. Magnetic susceptibilities of vanadyl formate, benzoate, and o-iodobenzoate were m…
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This paper studies when infinite products of nonatomic Lebesgue measure spaces are isomorphic, as measure spaces, to the corresponding direct product. Using notions of metric weight, homogeneity, Lebesgue sub-sigma-algebras, independent sigma-algebras, and measurable partitions, it proves that any p…
V. G. SPRINDZHUK
This paper addresses Mahler’s hypothesis on the metric approximation of transcendental complex numbers by values of integral polynomials of bounded degree, formulated in terms of the exponents eta_n. It outlines a proof of the upper bound eta_n <= 1/2, complementing the known lower bound, by estimat…
Yu. V. DUBASOV
This study reexamines the magnetic susceptibility of radium chloride and extends measurements to radium bromide, addressing earlier reports that radium chloride is weakly paramagnetic despite the closed-shell electronic structure of radium. Using the Faraday method on purified sealed samples at diff…
N. F. Marcun
The paper studies interference phenomena for entire functions of finite degree in the class defined by bounded values on a uniform real lattice and a mild sublinear condition at infinity, a class broader than functions bounded on the real axis. It determines when finite sums of shifted values, espec…
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This paper examines anomalous features of ultrahigh energy cosmic ray jets, especially double maxima in angular distributions, unequal populations of narrow and diffuse cones, energetically isolated pions, and the weak correlation of distribution parameters. It argues that the existing fireball mode…
Z. N. PARNES, G. D. MUR, Corresponding Member of the Academy of Sciences of the USSR D. N. KURSANOV
This study examines whether the tropylium ion, previously shown to react with alcohols by hydride transfer pathways, can also react with simple ethers. Experiments with diisopropyl ether and, in detail, ethylene oxide showed formation of cycloheptatriene, while the ethylene oxide reaction also yield…
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This note gives an example of instability in a nearly integrable Hamiltonian system with a five-dimensional extended phase space, showing that the existence of many conditionally periodic motions does not imply global stability in this dimension. It introduces whiskered tori, screening sets, and tra…
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This paper studies axisymmetric transonic flow through the speed of sound in circular Laval nozzles, using von Kármán’s equations with prescribed power-law velocity behavior on the nozzle axis. By reducing the self-similar Cauchy problem to an ordinary differential equation in a phase plane, the aut…
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This paper examines polymorphism in aluminum phosphates of composition Al2O3·3P2O5 and the reaction of the A modification, Al4(P4O12)3, with molten potassium chloride. Products obtained by heating alumina in phosphoric acid were characterized by X-ray diffraction, infrared spectroscopy, optical micr…
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This note studies the spectrum of a singular second order non-self-adjoint boundary-value problem on the half-line with complex coefficients and a complex weight, formulated as a pair of operators \((L_\theta,Q)\) in \(L^2(0,\infty)\). Under growth and regularity assumptions on \(p\) and \(q\), asym…
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This paper examines thermodiffusion in dilute polymer solutions, with emphasis on how chain flexibility affects the dependence of the thermodiffusion coefficient on molecular parameters. Using a bead-and-spring model for a freely draining macromolecule and a Fokker-Planck description of segmental Br…
1.** Let the control process be described by the equations
This paper studies optimization problems for linear control systems with convex bounded controls, where constraints are imposed on a convex control functional, endpoint deviations, and deviations of selected trajectory components from a prescribed curve at specified times. The authors transform the …
A. G. SAMOILOVICH, I. V. GVOZDOVSKII
The paper addresses electron scattering by optical lattice vibrations in polar semiconductors, especially at low temperatures where previous treatments relied on uncertain assumptions or numerical kinetic-equation solutions. Starting from an integral equation for the nonequilibrium distribution func…
Corresponding Member of the Academy of Sciences of the USSR **V. I. GOL’DANSKII, E. F. MAKAROV,
This study applies Mössbauer spectroscopy to soluble and insoluble ferrocene copolymers in order to relate their iron electronic states to polymer structure. Measurements of chemical shifts, quadrupole splittings, and resonant absorption at room and liquid nitrogen temperatures show that soluble cop…
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This study examines electrophilic additions of thionyl chloride and sulfuryl chloride to ethylene in the presence of aluminum chloride, comparing chlorosulfinylchlorination with chlorosulfonylchlorination. The authors argue that thionyl chloride forms a more reactive chlorothionyl cation complex, le…
N. A. SLOVOHOTOVA, Corresponding Member of the Academy of Sciences of the USSR K. A. KOCHESHKOV
The study examines the nature and structure of Sn-O bonds in organotin alkoxides, acylates, and distannoxanes using dipole moment measurements, cryoscopic molecular weight determinations, and infrared spectra. The data indicate that alkoxytrialkyltin compounds, alkyltin acylates, and hexaalkyldistan…
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The paper examines the nonstationary establishment of a steady melting and mass removal regime for viscous glasslike materials, such as quartz glass, exposed to high temperature gas flow near a stagnation point. Using numerical calculations over varied thermophysical parameters and flow conditions, …
B. P. PEREGUD, K. B. ABRAMOVA
This paper reports time-resolved experiments on the electrical explosion of copper wires in air, focusing on the energy threshold for explosive behavior and on the accompanying optical and infrared radiation. Using capacitor-discharge circuits, oscillographic measurements of current, wire voltage, a…
S. A. KHARLAMOV
This paper examines heteroparametric excitation of a mathematical pendulum with a vertical axis of rotation when the suspension point undergoes quasiperiodic linear oscillations. Starting from the pendulum equation with viscous damping, the analysis transforms to a uniformly rotating reference frame…
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This paper calculates the two lowest excited states with K pi equals 2 plus in even even deformed nuclei for the mass regions 150 less than A less than 190 and 228 less than or equal to A less than or equal to 254. Within the superfluid nuclear model with quadrupole interactions, the analysis solves…
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This study examines the free-radical addition of N-ethylacetamide to unsaturated compounds in order to assess the polar character of the radical formed by hydrogen abstraction at the carbon adjacent to nitrogen. Reactions with heptene-1, allyl alcohol, methyl acrylate, and dimethyl maleate were init…
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The paper studies the asymptotic behavior of dynamic programming recurrence relations for deterministic finite-state control processes in which transitions have both rewards and positive durations. It represents controls as arcs of a directed graph and shows that, as the time horizon grows, the opti…
A. N. Kamenskii, N. M. Fodiman, S. S. Voyutskii
This study examines interdiffusion in welded polymer pairs using electron microscopy of ultrathin cross sections cut perpendicular to the contact plane. Polymethyl methacrylate, polybutyl methacrylate, and polyvinyl chloride were hot-air welded at selected temperatures, and the resulting interphase …
M. G. Dzhavadov
This note studies completeness for a selected part of the eigenfunctions of a non-self-adjoint second order differential operator whose coefficients depend on a spectral parameter, with constant boundary conditions and the assumption that the relevant characteristic roots are complex. For the bounda…
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This note studies the oblique derivative problem for harmonic functions in a multidimensional domain when the boundary vector field has polynomial coefficients. The problem is reduced to a polyharmonic Dirichlet problem and then to a first-order linear partial differential equation associated with t…
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The paper investigates anomalies in the galvanomagnetic properties of gadolinium, whose magnetic structure shows temperature-dependent behavior not captured by a simple ferromagnetic description. Electrical resistivity and longitudinal magnetoresistance were measured on gadolinium samples of varying…
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This note studies when a complete Boolean algebra equipped with a group of automorphisms admits a countably additive probability measure invariant under the whole group. Vladimirov formulates several conditions on the richness, continuity, and non-paradoxical behavior of the automorphism group, incl…
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This paper addresses a discrepancy between theoretical predictions and experimental measurements of the configurational dimensions and excluded volume of polyelectrolyte molecules in salt solutions. It argues that Debye-Hückel calculations applied to individual charged monomer units are physically i…
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This note studies arbitrary, possibly uncountable, inverse and direct spectra of locally convex spaces whose bonding maps are weakly completely continuous. It defines spaces of types W and W′ as projective and inductive limits of such spectra, proves completeness, semireflexivity, Banach spectrum re…
N. S. Vyazankin, Corresponding Member of the Academy of Sciences of the USSR G. A. Razuvaev,
The paper examines homolytic reactions and decomposition pathways of organosilicon and organogermanium mercury compounds, focusing on products formed from triethylsilane with diethylmercury and on the behavior of bis(triethylsilyl)mercury and bis(triethylgermyl)mercury. Experimental photolysis, oxid…
We consider the incidence of a stationary plane longitudinal wave with potential
The paper studies diffraction of a stationary plane longitudinal elastic wave by a stress-free circular cylindrical cavity in the high-frequency case where the longitudinal and transverse wave numbers times the cylinder radius are large. Starting from the standard series solution for longitudinal an…
A. G. SIGALOV
The paper develops an algorithm for perturbation theory of self-adjoint operators with simple continuous spectrum. It introduces a diagonally singular matrix representation of an operator relative to a spectral resolution, separating off-diagonal and diagonal parts through Radon-Nikodym derivatives …
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This paper examines how different branches of the proton proton cycle in the solar interior determine the spectrum and intensity of solar neutrinos relevant to early neutrino astrophysics. Assuming dynamic equilibrium among successive reactions and adopting representative central solar composition a…
V. N. DROZD, V. A. SAZONOVA, Academician A. N. NESMEYANOV
This study examines whether ferrocenyl sulfones can undergo a Smiles rearrangement, a reaction thought to require an intramolecular nucleophilic substitution mechanism involving a quinoid-like transition state. Phenylferrocenyl, diferrocenyl, and mesitylferrocenyl sulfones were prepared by reactions…
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This study examines how solvents affect the optical rotatory dispersion of acylated amino acid esters, motivated by earlier observations that monomeric amides can show solvent-dependent ORD changes not attributable to polypeptide helicity. The authors measured ORD curves for benzoyl and acetyl deriv…
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This paper examines the proposed epitaxial transformation of uranium oxide in nasturan from initially deposited U3O8 to UO2+x, possibly through intermediate phases such as U4O9, U3O7, or U2O5. Using crystallographic comparison of uranium atom nets, lattice parameters, and orientations, together with…
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This paper studies flat infinitesimal connections in principal bundles over smooth manifolds and relates their holonomy homomorphisms to one-dimensional nonabelian cohomology, extending de Rham’s theorem on closed forms and prescribed periods. It defines an action of bundle automorphisms on the set …