M. I. YANOVSKII
This study applies pulse chromatographic methods to selective oxidative dehydrogenation of butylenes over bismuth molybdenum and related supported catalysts, using pulsed hydrocarbon or hydrocarbon oxygen mixtures in a helium carrier stream. Experiments compare catalyst behavior, product distributio…
G. N. Yakovlev
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This study examines the long-wavelength infrared absorption spectra of aniline complexes with divalent copper, cobalt, and zinc chlorides and sulfates, motivated by unresolved questions about their structure and bonding. Powdered complexes were pressed with polyethylene and measured in the 500 to 10…
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The paper studies proper vertex colorings of connected loopless graphs of maximum degree three and proves that, except for the tetrahedral graph, such graphs have chromatic number at most three. The argument uses Kempe-chain style components, reductions by contracting two-edge cycles and low-degree …
V. L. Levin
This note continues the study of tensor products and functors in categories of Banach spaces associated with a KB-lineal E, where a Banach space X is sent to the completion of E tensor X under the crossnorm nE. It characterizes when this crossnorm coincides with the projective and injective tensor n…
V. I. Chirkov, È. E. Vainstein
This study examines the chemical bonding in titanium oxides of variable composition, TiO0.85 to TiO1.20, using titanium X-ray K absorption spectra together with previously measured Kβ5β'' emission bands. The spectra are interpreted quantitatively by comparison with calculated band structure data for…
Yu. A. AFANAS’EV, V. B. DURASOV
This study examines the thermochemistry of nitric acid extraction by tributyl phosphate, a system important for actinide and lanthanide extraction chemistry. Heats of mixing for nitric acid and tributyl phosphate were measured calorimetrically over a broad concentration range, and refractive indices…
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This note studies complete regularity for multidimensional stationary processes with discrete time in terms of their spectral matrix density, with attention to rates of decay of the associated mixing coefficient. Using an analytic representation of the coefficient, it gives sufficient and necessary …
M. N. Maksumov, L. S. Marochnik
This paper examines the stability boundary for collisionless self-gravitating systems, seeking an analogue of the Jeans critical wavelength for media described by collective gravitational interactions rather than particle collisions. Using the linearized Boltzmann and Poisson equations in a locally …
A. K. Molodkin, O. M. Ivanova, A. N. Kuchumova
This study examines the interaction of urea with thorium halides, a class of compounds for which prior information was reported to be absent. A series of urea-containing thorium chloride, bromide, and iodide complexes was synthesized in methanolic solution, and their compositions and properties were…
V. I. Kvlividze, V. F. Kiselev, V. V. Serpinskii
This study examines the nuclear magnetic resonance spectra of water protons adsorbed in synthetic NaX zeolite at low temperatures as a function of water loading. Samples containing 0.3 to 17.3 mmol/g of water were measured between 90 and 230 K, and the spectra were analyzed through line shapes, widt…
Yu. E. BOYARINTSEV
This note studies convergence and stability of a family of three level difference schemes for the one dimensional wave equation with variable coefficients and homogeneous boundary conditions. Using a direct algebraic approach, including noncommutative analysis for nonseparable coefficients, it formu…
Corresponding Member of the Academy of Sciences of the USSR N. S. NAMETKIN, V. M. VDOVIN,
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This paper derives spherical aberration formulas for a combined electric and magnetic quadrupole lens whose axial field distribution is approximated by a rectangle. To avoid the singular field derivatives that arise at the sharp lens edges in third-order trajectory equations, the authors use perturb…
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This paper studies nonlinear spinor functions whose arguments and values transform under representations of the full orthogonal group in three-dimensional Euclidean space. It formulates a general invariance principle: the symmetry group of a spinor function is the intersection of the symmetry groups…
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This study investigates the interaction of natural rubber with titanium tetrachloride in order to clarify the intermediate stages preceding titanium tetrachloride induced cyclization. Infrared spectra of rubber films exposed to titanium tetrachloride and electronic spectra of dilute rubber solutions…
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This paper studies the set of all Hausdorff compact extensions of a completely regular space, focusing on its possible cardinalities and its natural partial order. It proves that every infinite cardinal can occur as the cardinality of this system for a suitable space, using constructions involving S…
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This paper studies a linearized potential-flow problem for an incompressible fluid with jet separation past a permeable symmetric wedge, assuming that seepage velocity through the wedge is proportional to the pressure difference and that the permeability coefficient is small. Using a conformal mappi…
V. M. Zhulin, M. G. Gonikberg, V. N. Zagorbinina
This study examines how pressure affects the relative rate constants of chain transfer and chain propagation in the radical polymerization of styrene initiated by azobisisobutyronitrile. Polymerizations were carried out at pressures up to 4000 kg/cm² in the presence of butyraldehyde, isobutyraldehyd…
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This paper establishes convergence results for a projection method for solving linear equations Ax equals y in Banach spaces when A is representable as a function of an isometric operator. Using conditions expressed through the nonvanishing and index of the associated function on the unit circle, th…
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This paper formulates a categorical framework for mathematical statistics in which spaces of probability distributions are objects and Markov kernels are morphisms. It defines categories of families of distributions, interprets statistical equivalence through equality of attainable decision classes,…
A. G. Aslanyan
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This note studies a class of inverse problems for linear differential equations in which unknown coefficients are to be reconstructed in a bounded domain from a parameterized family of solutions known in a disjoint domain. By applying a Laplace transform in auxiliary variables and using a fundamenta…
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This paper analyzes the reflection and refraction of plane one-dimensional plastic waves at the boundary between an elastic-plastic half-space and another medium. Using a uniaxial compression law in Lagrangian coordinates, the authors formulate governing equations for the incident, reflected, and re…
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This paper reassesses radio astronomical and radar observations of Venus in light of the hypothesis that its centimeter and decimeter radio emission is connected with a dense, inhomogeneous ionosphere rather than solely with surface heating. It reviews recent data on polarization, disk brightness di…
F. L. VARPAKHOVSKII
The paper studies realizability for propositional formulas in the sense induced by Kleene realizability of arithmetical substitutions, asking whether a disjunction can be realizable when both disjuncts are unrealizable. It defines refutation of a propositional formula by arithmetical substitutions t…
V. A. SHAMBUROV
This paper analyzes rotation of the plane of polarization in tetragonal electro-optic crystals of the ADP type under an electric field directed along the optical axis. Using the optical indicatrix, it derives relations for the rotation of the indicatrix section, the change in birefringence, and the …
Al. Al. Berlin, I. M. Barkalov,
This paper examines how anisotropic propagation of polymer chains in a crystal lattice affects the kinetics of solid-phase postpolymerization. The authors formulate kinetic schemes for active centers whose growth is limited by direction-dependent rate constants and by defects, considering nonanneala…
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This paper derives relaxation equations for the exchange of energy between rotational and translational degrees of freedom in diatomic molecules colliding with atoms or electrons when rotational transition interactions are too strong for ordinary perturbation theory and the collision is not adiabati…
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This paper studies scattering operators for unitary couplings of two isometric semigroups in the Lax Phillips framework and relates them to characteristic operator functions of contractions. It defines wave and scattering operators for couplings possibly acting in different Hilbert spaces, proves cr…
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This note studies metrizability, normability, and multinormability for constructive uniform and locally convex spaces, using constructive interpretations of equality, entourages, metrics, seminorms, and locally convex topologies. It formulates criteria and counterexamples showing that several classi…
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This paper examines how crystalline inclusions in amorphous selenium affect the predominant sign of dark and photoinduced charge carriers, a question relevant to electrophotography and photoconductive targets. Using controlled ionic surface charging and measurements of dark and light potential relax…
D. A. Slavnov, A. D. Sukhanov
This paper studies the Borchers equivalence class of interpolating fields in a theory of one neutral scalar interacting field under Bogolyubov’s stronger causality condition for the S matrix. Using Medvedev’s quasinormal product and a recurrence definition of the Wick chronological product, the auth…
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This study examines how ionizing radiation affects the structure of electrolytic deposits of cerium crystalline oxide formed on a stainless steel cathode during electrolysis of cerium chloride solution. Deposits produced under fixed electrolysis conditions were compared with those formed after addin…
K. P. Stanyukovich, O. Sharshekeev, V. Ts. Gurovich
This paper examines self-similar, centrally symmetric motions of a relativistic gas in general relativity, using the Einstein equations together with the relativistic equations of gas motion for a spherically symmetric metric. By introducing similarity forms for velocity, pressure, specific volume, …
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This study examines electrophilic nitration of phenylbarene, phenylbarenecarboxylic acid, and phenylneobarene to assess the directing and deactivating influence of barene and neobarene nuclei on the benzene ring. Nitration in mixed acid gave only ring-substituted mononitro products: phenylbarene for…
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The paper examines competing interpretations of anomalously large photovoltages in semiconductor films, contrasting the usual microphotobattery model with the single high-resistance photocell model proposed by Brandhorst and Potter. By reanalyzing the underlying transport and Poisson equations, the …
A. P. Vorob’ev
V. A. Kargin, V. A. Kabanov, K. V. Aliev, E. F. Razvodovskii
This paper examines the unexpected formation of high-molecular-weight polyelectrolytes when 4-vinylpyridine reacts with alkyl halides or strong protonic acids to form salts. Using elemental analysis, viscosity measurements, inhibitor tests, comonomer experiments with styrene, and kinetic observation…
A. Khokhryakov
This chronicle note surveys the development of the Izhevsk mathematical seminar, founded in 1954 at the Izhevsk Mechanical Institute under N. V. Azbelev. It traces the seminar’s shift from integral and differential inequalities, especially Urysohn and Chaplygin type theorems, to applications in exis…
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The paper reports measurements of the angular distribution and differential cross section for the reaction gamma plus proton to pi-plus plus neutron on liquid hydrogen at a photon energy near 230 MeV. Pi-plus mesons were identified with a scintillation counter telescope by range selection and delaye…
A. Ya. Lepin, A. D. Myshkis
Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA
This paper examines the radical addition of chloroform to heptene-1 initiated by iron pentacarbonyl in the presence of tertiary amines, focusing on factors that shift the reaction from C-H bond cleavage to C-Cl bond cleavage. Experiments with aliphatic, aliphatic-aromatic, and heterocyclic amines of…
Academician A. N. NESMEYANOV, N. A. VOL’KENAU, L. S. SHILOVTSEVA
This study examines ligand exchange in substituted ferrocenes, extending earlier work on the conversion of ferrocene with aromatic hydrocarbons into arene cyclopentadienyliron cations. Mono- and disubstituted ferrocenes bearing ethyl, acetyl, cyano, and phenyl groups were reacted with benzene or mes…
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This paper examines the conductivity and photoconductivity of thin amorphous selenium arsenic layers containing oxygen under strong electric fields. Layers prepared by vacuum evaporation were measured at room temperature with different electrode materials, compositions, thicknesses, illumination lev…
B. P. FABRICHNYI, I. F. SHALAVINA, Ya. L. GOLDFARB
This paper reports a modified synthetic route to 2,3,4,5-tetradehydrobiotin from thiophene-fused lactam intermediates obtained through Beckmann rearrangement chemistry developed earlier by the authors. Bromination, nitration in concentrated sulfuric acid with potassium nitrate, copper-mediated debro…
L. D. LIVSHITS, B. I. BERESNEV, Yu. S. GENSAFT, Yu. N. RYABININ
This study examines how polymorphic phase transitions under hydrostatic pressure affect the strength and plastic deformation of ionic crystalline materials. Rubidium chloride, silver nitrate, and lithographic limestone were subjected to axial compression at controlled high pressures, and reduced str…
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This paper reformulates the SU(6) supermultiplet model of strongly interacting particles in quark language, representing the basic sextet as a product of a unitary triplet and a spin doublet. Using this representation, it constructs meson, baryon, and isobar supermultiplets and applies first order s…
V. A. DROZDOV, Sh. D. KURMASHEV, A. L. RVACHEV
This paper reports an optical forming procedure for producing effective rectifying and photosensitive behavior in film heterojunctions of cuprous oxide and indium-doped cadmium sulfide. Samples initially showed nearly ohmic current-voltage characteristics and only weak photovoltaic response, but per…