T. A. Shchegoleva, V. D. Sheludyakov, B. M. Mikhailov
This study examines the nature of coordination compounds formed by boron halides, organoboron chlorides, chloroborane, and diborane in ether or tetrahydrofuran solutions. Molecular weight determinations and electrical conductivity measurements over broad concentration ranges are used to infer equili…
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This study examines how solid oxide additives of semiconductor character affect the low-temperature gamma-radiation polymerization of acrylonitrile and methyl methacrylate. Experiments with several oxides show that n-type additives such as zinc oxide, titanium oxide, and chromium oxide do not accele…
A. M. TABER, B. D. POLKOVNIKOV, N. N. MALTSEVA, V. I. MIKHEEVA,
This study examines the chemical nature and properties of platinum, palladium, and rhodium catalysts prepared by reducing aqueous metal chloride solutions with sodium borohydride. The authors analyze the resulting black precipitates for metal, boron, and hydrogen content, measure hydrogen evolution …
K. V. TOPCHIEVA, B. V. ROMANOVSKII, HO-SHI THOANG
This study examines cumene cracking over calcium-form zeolite 10X as a model reaction for comparing crystalline zeolite catalysts with amorphous aluminosilicate cracking catalysts. Using integral and differential kinetic methods over approximately 475-550 °C, the authors measured conversion, product…
I. B. GOLOVANOV, A. P. SIMONOV, A. K. PISKUNOV, T. V. TALALAEVA, G. V. TSAREVA, K. A. KOCHESHKOV
This study examines the association and bonding of lithium alkoxides, principally tert-butoxylithium and n-butoxylithium, using ebullioscopy and proton and lithium-7 NMR spectroscopy. Ebullioscopic measurements indicate that tert-butoxylithium is strongly associated in cyclohexane and benzene, consi…
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This study compares the dipole moment of the diphenyl nitroxide radical with that of the corresponding molecule, diphenylhydroxylamine, as a way to probe charge distribution associated with an unpaired electron. The compounds were synthesized by a literature method, and their dipole moments were mea…
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This note studies how the growth of an entire function along a fixed ray compares with its Nevanlinna characteristic. Building on examples showing that the corresponding upper limit may be infinite, it proves a sharp upper bound for the lower limit of the ratio of the logarithm of the function on th…
M. G. KREIN, G. K. LANGER
This note develops an analogue of the spectral projector function for self-adjoint operators with real spectrum in a Pontryagin space with indefinite metric. It defines spectral functions with finitely many critical points, introduces the index, order, and associated subspaces of such points, and pr…
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The paper studies irreducible B-spaces, Riemannian spaces with a covariantly constant symmetric affinor, in the case where the affinor has a single real eigenvalue and equal Jordan block sizes. Using canonical coordinates and differential relations among the metric and powers of the affinor, it show…
O. V. ALT’SHULER, O. M. VINOGRADOVA,
This paper examines a preparative gas-liquid chromatographic method that separates mixtures without an inert carrier gas, using an undiluted, readily soluble compound as a pseudodisplacer. Experiments with hydrocarbon mixtures on polar and nonpolar stationary liquids show that components can leave t…
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This paper develops an approximate method for determining the velocity and displacement of quasi-transverse elastic waves in an arbitrary crystal. The approach replaces the crystal, for a given propagation direction and chosen symmetry axis, by the closest transversely isotropic medium in a least-sq…
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This paper examines the role of free-radical processes in the curing mechanism of resol phenol-formaldehyde resins. The authors test whether radicals formed during curing can initiate polymerization of triethylene glycol dimethacrylate, using infrared spectroscopy to compare double-bond consumption …
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This paper extends necessary optimality conditions for control problems from finite-dimensional settings to systems evolving in Banach spaces. For equations with measurable controls and endpoint constraints, including fixed endpoints, terminal manifolds, and terminal convex bodies, it formulates ass…
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The paper analyzes anomalous transverse diffusion observed in currentless glow discharges in a magnetic field and proposes drift dissipative instability as a possible mechanism. Using a kinetic treatment for electrons in the drift approximation, hydrodynamic ion equations with ion inertia, and quasi…
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This paper studies integral representations of continuous linear functionals on spaces of functions harmonic or analytic in the interior of a Jordan curve and continuous on its closure. It relates representing measures in the domain to boundary measures via harmonic measure, gives criteria for when …
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The paper examines the compensation effect in chemical kinetics as a consequence of measured activation parameters arising from the superposition of independent reaction pathways, such as spontaneous and catalyzed processes. It derives relations showing how effective Arrhenius activation energy and …
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This paper proposes a generalized variational formulation of general relativity based on varying the scalar curvature density while retaining variations with respect to second derivatives of the metric and not imposing vanishing variations of the connection on the boundary. The argument derives the …
V. D. POKHODENKO, L. N. GANYUK, E. A. YAKOVLEVA, A. I. SHATENSHTEIN, A. I. BRODSKII
This study examines the radical formed during oxidation of deuterium labeled 2,6-di-tert-butyl-4-methylphenol, using ionol labeled in the para methyl group to test a proposed phenoxyl to benzyl radical rearrangement. Ionol-CD3 was prepared by isotopic exchange with potassium amide in liquid deuterat…
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This paper examines the differing reactivity of geometrical isomers of tetravalent platinum complexes of the composition [Pt(NH3)2Cl4], with the aim of providing a rapid means of distinguishing cis and trans forms. The authors test the action of excess potassium iodide on aqueous suspensions or solu…
Ya. A. ROITBERG, Z. G. SHEFTEL
This note proves energy inequalities with boundary norms for elliptic differential operators whose coefficients may be discontinuous across an interior interface. The authors formulate general boundary conditions on the exterior boundary and conjugation conditions on the discontinuity surface, intro…
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This paper examines how reaction mixtures can change the state and activity of catalysts under operating catalytic conditions, rather than merely under equilibrium exposure to reactants. It proposes a general kinetic classification of catalyst, reaction mixture systems according to whether catalyst …
B. I. KORENBLUM
This note studies Weierstrass-type approximation in Banach spaces of infinitely differentiable functions whose derivatives are controlled by a logarithmically convex sequence. It proves that, under the stated growth assumptions, the closure of entire functions of exponential type, and in the periodi…
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The paper studies the rigidity and unique determination of ovaloids with cuts under boundary conditions weaker than the usual gluing conditions on curvature and torsion increments along the cut. Using Vekua’s theory of generalized analytic functions, it formulates the equations for the complex bendi…
A. I. NEPOMNYASHCHII, V. I. MUROMTSEV, Kh. S. BAGDASAR’YAN
This study examines ion radical formation during gamma irradiation of frozen tetrahydrofuran and styrene solutions in tetrahydrofuran at minus 196 degrees C using electron paramagnetic resonance spectroscopy. Irradiated tetrahydrofuran produced a five component hyperfine spectrum attributed to a tet…
Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV, R. I. BASHIROV,
This paper reports measurements of longitudinal and transverse magnetoresistance in n-type InSb single crystals of different carrier concentrations at 20 to 77 K in pulsed magnetic fields up to 400 kOe. The experiments observe Shubnikov de Haas oscillations quasiperiodic in inverse magnetic field, t…
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This paper examines the stereochemistry in solution of intracomplex copper(II) compounds formed with aromatic Schiff bases from ortho-hydroxyaldehydes, a question left ambiguous by magnetic and polarization data. The authors synthesize a series of substituted Cu(Lig)2 complexes and measure magnetic …
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This paper examines whether free energies of activation in gas-phase free-radical substitution reactions can be represented as additive sums of independent molecular and radical increments. Using published kinetic data, especially for reactions of methyl and trifluoromethyl radicals with hydrocarbon…
I. D. KOCHUBIEVSKII, G. M. ULANOV
This paper formulates information-theoretic conditions for invariance in linear automatic control systems subject to input signals and disturbances. Treating the control system as an information transmission system, it relates absolute invariance to equality of input and output entropies and to cons…
B. P. Vol'fson
This paper develops a general analytical formulation for the spatial behavior of composite structures made of several connected elements with elastic, compliant joints distributed along their seams. Using assumed displacement functions across the transverse section, Hooke’s law, and Lagrange’s princ…
Academician of the Academy of Sciences of the Latvian SSR L. LEPIN’, A. LUKENBAKH
This paper examines how native oxide protective films affect the early and later oxidation of iron and steel in water and potassium chloride solutions in the presence of air. Using colorimetric, volumetric, and later gravimetric measurements over temperatures from 0 to 90 degrees Celsius, the author…
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This paper develops a calculation of the stationary value of reversible orientational photodichroism in viscous dye solutions under polarized illumination. Using a model in which absorbing dye molecules, treated as classical oscillators in a viscous medium, reorient with a given probability and mean…
F. O. PORPER
The paper studies long-time stabilization for bounded solutions of the Cauchy problem for a uniformly parabolic divergence-form equation with variable coefficients in the whole space. Using Nash estimates for the fundamental solution and its modulus of continuity, it proves that if the bounded initi…
S. N. Ushakov, E. F. Panarin
This communication describes the covalent attachment of benzylpenicillin and phenoxymethylpenicillin to water-soluble polymer chains as part of a broader effort to modify medicinal compounds by incorporation into polymers. Copolymers of vinylamine with vinyl alcohol and of acrylic acid hydrazide wit…
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This note studies fundamental solutions for uniformly elliptic second order operators in the whole Euclidean space with coefficients that become constant outside a bounded domain, and with a complex spectral parameter. Using Levi’s parametrix method, an integral equation for the correction kernel, L…
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This note studies when the norm of a mixed partial derivative of a smooth function of several variables can be estimated by a finite sum of norms of other partial derivatives. It formulates sufficient structural conditions on the multiindices of the derivatives, first for inequalities in the same Lp…
A. I. Agatova, L. S. Vartanyan, Corresponding Member of the Academy of Sciences of the USSR
This study examines how radical intermediates formed during oxidation of the radical-process inhibitor propyl gallate affect sulfhydryl groups in rabbit muscle lactate dehydrogenase. Using amperometric titration, polarographic monitoring of propyl gallate oxidation, and enzyme activity assays, the a…
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Academician A. N. NESMEYANOV, N. S. KOCHETKOVA, P. V. PETROVSKII,
This paper reexamines a ferrocene reaction product previously assigned the structure pentaethanodiferrocene, formed under the action of aluminum chloride. Using elemental analysis, molecular weight determination, infrared spectroscopy, proton magnetic resonance spectra, acetylation behavior, and com…
V. P. OREVKOV
The paper develops a constructive theory of mappings between locally finite simplicial complexes, using standard geometric realizations as constructive metric spaces. It defines constructive complexes, their points and bodies, and proves that any constructive operator between complexes, where define…
A. P. Terent’ev, A. M. Turkel’taub, E. A. Bondarevskaya, L. A. Domochkina
A gas chromatographic method is proposed for the simultaneous determination of nitrogen and oxygen in organic compounds from a single micro sample. The procedure decomposes 5 to 10 mg of substance by pyrolysis at 900°C in a rarefied stationary helium atmosphere over nickelized carbon black, converti…
Lai Duc Thinh
This paper studies divisor sums for integers in real quadratic fields, ordered by absolute norm and restricted by the logarithmic argument determined by the fundamental unit. Using analytic continuation and functional equations for associated Dirichlet series, together with contour integration and F…
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This paper studies a class of projective R-nets in three-dimensional space whose congruences of first and second axes are foliated by the corresponding axis congruences of their Laplace transforms. Using moving frames and exterior differential systems, it gives intrinsic characterizations of the net…
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The paper studies superconstructive propositional calculi obtained by adding finitely many axioms to Heyting’s intuitionistic calculus, with modus ponens and substitution as rules. Using finite implicative structures, including Jaśkowski structures and related families constructed by cardinal produc…
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This study examines the transition of polymer melts from highly elastic deformation to steady viscous flow, with particular attention to shear strength and possible structural changes during deformation. Using a rotational cone and plate elastoviscometer under vacuum, the authors measured shear stre…
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The paper examines the thermodynamics of molten lanthanum chlorides, including the unstable dichloride whose independent existence was uncertain, using electrochemical measurements in equilibrium LaCl2, LaCl3 melts in contact with liquid lanthanum. The authors measure the emf of a cell with lanthanu…
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This paper studies spectral properties of the Schrödinger operator in planar domains with infinite boundary under Dirichlet boundary conditions and decay assumptions on the potential and geometry. It establishes growth and uniqueness results for solutions at positive energy, constructs the limiting …
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This paper analyzes capillary equilibrium and gas penetration in a porous body whose intersecting pores have variable cross section, extending earlier treatments that assumed constant pore radius. The porous structure is modeled probabilistically: supercritical pore branching and pore “death,” where…
M. G. DZHAVADOV
This note studies a mixed initial boundary value problem for a second order hyperbolic equation in a cylinder, where a small parameter multiplies the highest derivatives and the limiting equation is first order. It constructs an asymptotic expansion of the solution by combining an outer iterative so…
O. D. DMITRIEVSKII, A. N. TERENIN
This study investigates intermolecular electron transfer in binary molecular solutions during pulsed photoexcitation, using perylene as an electron acceptor or donor because its radical ion spectra are accessible. A high speed photoelectric spectrometer was used to record transient absorption spectr…
E. G. DYAKONOV
The paper studies economical finite difference schemes with splitting operators for multidimensional hyperbolic equations with variable coefficients under initial and boundary conditions. It constructs a discrete analogue of the problem, establishes second order approximation under smoothness assump…