N. N. GRYAZEV, L. N. SOLYANOVA
This study examines adsorption and chemisorption of vapors of methanol, ethanol, diethyl ether, acetone, acetaldehyde, and acetic acid on KSK silica gel and alumina gel, with relevance to porous-body surface chemistry, catalysis, and purification processes. Adsorption and desorption isotherms were m…
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This paper studies sharp covering and extremal problems for functions regular and univalent in the unit disk that omit two prescribed values, with separate treatment of general and starlike subclasses. It derives exact upper bounds for the initial coefficient in these classes, identifies the corresp…
B. V. Deryagin, M. V. Talaev, N. N. Fedyakin
This paper investigates the formation of anomalous liquid columns during vapor condensation in quartz capillaries, addressing whether their reduced vapor pressure and increased viscosity can be attributed to leaching from glass walls. Using a controlled chamber with adjustable air pressure, vapor sa…
A. A. BUKHSHTAB
This paper improves known sieve-theoretic approximations to the Goldbach and twin prime problems by reducing the required number of prime factors in the almost-prime term from four to three. Using Brun’s sieve together with distribution estimates for primes in arithmetic progressions due to Barban, …
A. V. Chernavskii
This note studies topological embeddings of compact polyhedra in Euclidean space under a codimension range expressed by dim Q less than two thirds of n minus 1. It outlines a proof that an embedding locally flat on the open simplices of a triangulation can be made piecewise linear, relative to the c…
PHYTOPATOLOGY
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The paper introduces almost metrizable topological groups, defined by the presence of a compact subset of countable character, and develops their basic structure. It proves that such groups can be represented via compact subgroups of countable character with metrizable quotient spaces and perfect op…
A. F. ANDREEV
K. P. Stanyukovich
This paper examines Maxwell electrodynamics in Riemannian space, especially in Friedmann cosmological models, and derives wave equations for the electromagnetic four-potential including curvature terms through the Ricci tensor. It argues that spatial components of electromagnetic quanta acquire an e…
Corresponding Member of the Academy of Sciences of the USSR N. G. BASOV, V. N. MOROZOV, A. N. ORAEVSKII
This paper investigates regular undamped intensity pulsations in optical quantum generators by modeling a laser resonator with two oscillation modes. Starting from field, polarization, and population equations, the authors derive coupled multimode equations and reduced rate equations for cases of we…
Academician of the Academy of Sciences of the Moldavian SSR V. A. ANDRUNAKIEVICH, Yu. M. RYABUKHIN
This note introduces the notion of a ring element linked with zero, a special case of a zero divisor defined through annihilators of the principal ideal it generates, and studies rings in which every element has this property. It establishes structural results relating linked rings to Baer radical r…
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This paper extends results of Levin and Pfluger on completely regular growth from entire functions of noninteger order to functions analytic in a half-plane. It introduces a notion of order and indicator for functions in an angle, defines complete regularity in open and closed half-planes, and devel…
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The paper studies direct and inverse embedding theorems for weighted anisotropic function spaces on products of positive Euclidean orthants. It defines weighted Lebesgue, Sobolev-type, and Besov-type spaces with mixed groups of variables and establishes conditions under which boundary traces of deri…
G. B. Elyakov, N. I. Uvarova, R. P. Gorshkova,
This study investigates the carbohydrate chains of the ginseng triterpene glycosides panaxosides D, E, and F, using the proposed native genin structure as the basis for analytical calculations. Complete methylation followed by hydrolysis, chromatographic identification of methylated sugars, periodat…
R. S. Minasyan
A. A. Medzhidov, A. L. Buchachenko, M. B. Neiman
This paper examines whether acid,base catalysis can accelerate liquid phase radical reactions that normally require high activation energies, using reactions of stable nitroxide radicals with substituted p-phenylenediamines as a model system. Experiments in acetic acid,acetone mixtures, monitored by…
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This paper investigates the repulsive interaction potentials of noble gas atoms using elastic scattering of fast neutral beams in gas targets. Assuming a power-law form for the repulsive potential, the authors derive potential parameters from the energy dependence of small-angle scattering cross sec…
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This paper studies derivability and decidability for restricted classes of sequents in classical, constructive, minimal, and positive predicate calculi without function symbols. It proves that absolute sequents derivable classically are derivable in the positive calculus, identifies a reduction clas…
I. A. BONDAR’, T. F. TENISHEVA, Yu. F. SHEPELEV,
Single crystals of a new potassium europium diorthosilicate, K3Eu(Si2O7), were synthesized from solution in a KF melt by slow programmed cooling and examined by optical, goniometric, infrared spectroscopic, chemical, and X-ray methods. The crystals are hexagonal, optically positive and uniaxial, wit…
A. V. Nikolaev, I. N. Gribanova, N. I. Yakovleva, V. B. Durasov, I. D. Khol'kina, Z. N. Mironova, E. N. Tsvetkov, M. I. Kabachnik
This paper examines quantitative relationships between the structure of neutral organophosphorus extractants and their ability to extract actinide nitrates, using substituent sigma constants at the phosphorus atom as electronic parameters. Effective extraction constants for uranyl nitrate in benzene…
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The paper generalizes the notion of monotone nonlinear operators in Banach spaces by introducing B-monotonicity for operators whose values need not lie in the conjugate space of their domain. It establishes several equivalent criteria for B-monotonicity, including conditions in terms of Gâteaux deri…
N. S. Dombrovskaya, V. I. Posypaiko, E. A. Alekseeva, N. V. Khakhlova
This paper examines the classification of stable geometric elements, or singular stars, in septenary reciprocal salt systems and their use in predicting eutectic parageneses and exchange reaction directions. Using index tables and singular star schemes, the authors compare known type 16C systems wit…
The aim of the present work is to prove the theorem:
This note proves the topological invariance of rational, equivalently real, Pontryagin classes for smooth or PL manifolds under a homeomorphism, with the proof outlined for the simply connected smooth case and reduction indicated for the general case. The argument centers on a basic lemma asserting …
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The paper investigates acid protolysis of cis- and trans-beta-chlorovinylmercury chlorides by HCl and DCl in absolute dioxane and dimethyl sulfoxide, focusing on reaction mechanism, isotope effects, and stereochemical course. Kinetic measurements show second-order behavior in dioxane, consistent wit…
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The paper studies continuous representations of locally bicompact groups in the indefinite inner product space Pi_1 that are unitary with respect to that product. Using a maximal commutative algebra of bounded operators commuting with the representation and its canonical realization, the analysis re…
A. M. Stakhi
This note studies periodicity in partially ordered dynamical systems, where the acting parameter group is an arbitrary partially ordered group rather than the real line or a topological group. It defines periods of a point as group elements fixing that point, analyzes the resulting period subgroup u…
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This note develops a constructive version of Lebesgue integration for everywhere defined constructive functions on the unit segment, using approximation by polygonal skeletons and associated primitives. It defines Lebesgue integrability through pointwise convergence together with an integral Cauchy …
V. A. Tartakovsky, A. A. Onitchenko, I. E. Chlenov, S. S. Novikov
The study examines 1,3-dipolar cycloaddition reactions of 3-nitroisoxazoline N-oxides with alkenes and identifies the resulting bicyclic nitroisoxazolidizine products. Reaction of the parent N-oxide with ethylene afforded 8-nitroisoxazolidizine in high yield, with structural assignment supported by …
P. E. Krasnushkin
The paper introduces evolutionary graphs, directed graphs with black and white vertices governed by linear transformation, summation, and branching rules, as a representation of systems of linear operator equations. It establishes a correspondence between such graphs and linear systems, gives condit…
M. K. SHEINKMAN
The paper investigates infrared quenching of the photocurrent in cadmium sulfide crystals and proposes that the kinetics produced by short infrared pulses can be used to determine recombination-center parameters. Using a two-center model with slow r-centers and fast s-centers, the authors analyze ph…
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This note treats the elastic bending equilibrium of an isotropic plane plate resting on a doubly periodic system of point supports under an arbitrary doubly periodic transverse load. Using complex-variable formulations of plate theory, the authors construct a Green’s function in the fundamental peri…
V. M. DUBROVIN, M. D. KISLIK, B. I. KUZNETSOV, T. M. PETROV,
This paper reports Soviet radar observations of Venus conducted from 11 to 30 June 1964 at a wavelength of about 40 cm, using frequency keying and periodic linear frequency modulation to measure distance, radial velocity, reflected signal spectra, and surface reflection properties. Increased frequen…
A. V. ASTAKHOV
This paper examines the Brownian coagulation rate of aerosol particles when the mean Brownian free path is small but not negligible relative to particle radius, a regime where the classical Smoluchowski diffusion treatment requires correction. The coagulation problem is reformulated as stationary ab…
V. S. Livshits, O. V. Krylov, E. I. Klabunovskii
This paper examines how the stereochemical heterogeneity of a heterogeneous catalyst affects the polymerization rates and optical properties of propylene oxide enantiomers and racemic mixtures. The authors develop three limiting mechanistic cases for stereospecific chain growth, then test them by po…
Let an automatic control system be described by the equations
The paper introduces the concept of double invariance in automatic control systems, defined as the case where conditions ensuring invariance of a controlled coordinate with respect to specified external actions also make the system operator independent of plant parameters. Starting from a general sy…
H. A. Efendiev, F. I. Aliev
This study examines the formation and growth kinetics of InSb in thin double films of indium and antimony using fast electron diffraction, with emphasis on direct observation rather than indirect electrical measurements. Successively deposited In and Sb layers were annealed at 200, 240, and 250 degr…
V. L. Ermolaev, V. G. Aleshin, E. A. Saenko
A method is presented for determining nonradiative ligand to rare-earth energy-transfer rate constants in chelate complexes, using competition between intramolecular transfer to the rare-earth ion and intermolecular triplet-triplet quenching by added organic acceptors. Measurements in toluene soluti…
Ya. Kh. Grinberg, Z. S. Medvedeva, A. A. Eliseev, É. G. Zhukov
This paper examines the gas phase preparation of boron phosphide single crystals using reversible chemical transport with group VI carrier elements. Experiments varied the temperature gradient between source and crystallization zones and the crystallization temperature, showing that smaller gradient…
K. K. BABIEVSKII, V. M. BELIKOV, N. A. TIKHONOVA
The study examines the preparation of ethyl alpha-nitroacrylate from ethyl nitroacetate and formaldehyde, a route of interest for alpha-amino acid synthesis but previously hindered by resin formation and instability of intermediates. By carrying out the condensation at low temperature with aqueous f…
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The paper reports a single-crystal X-ray determination of the crystal structure of gamma-Rb2BeF4, motivated by uncertainty over structural analogies between alkali orthofluoroberyllates and related silicates or sulfates. Using goniometric layer-line photographs, Patterson projections, and heavy-atom…
I. S. Izrailevich, S. N. Novikov
This paper investigates gas flow through fine porous media in the transition pressure range, where the Knudsen number is near unity and the relation between permeability and mean pressure is theoretically uncertain. Using compacted highly dispersed powders with varied porosity, the authors measured …
D. A. Goganov, E. A. Porai-Koshits
This paper examines how heat treatment changes the supramolecular structure of sodium silicate glass containing 14 mol.% Na2O. Using small angle X-ray scattering on samples heated in a gradient furnace from 570 to 790 degrees C, the authors estimate the radii of inhomogeneous regions, interfacial su…
A. N. Erugin
L. Kh. FREIDLIN, N. V. BORUNOVA, L. I. GVINTER
This paper examines the selective hydrogenation of the dienone group in 6-methylheptadien-3,5-one-2 over nickel and cobalt catalysts, focusing on how catalyst modification changes the direction of hydrogen addition. Experiments with supported nickel catalysts, pyridine as a displacing additive, and …
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This paper studies non-self-adjoint second order ordinary differential operators of the form l(y) = -y'' + q(x)y in L2(a,b), where the interval endpoints are arbitrary and the complex potential has prescribed limiting imaginary parts at the endpoints. Using Weyl limit point and limit circle methods,…
N. P. SOKOLOV
The paper develops a generalized multiplication for multidimensional matrices over real or complex fields, extending earlier contracted products by allowing both summed and connecting index sets in accordance with Cayley and Scott type rules. It defines the resulting contracted product, discusses as…
R. GABASOV, F. M. KIRILLOVA
This paper studies an optimal control problem for a linear system in a normed finite-dimensional phase space when the terminal quantity to be minimized is the expected norm of the final state over finitely many random realizations. Using duality for the corresponding deterministic terminal minimizat…
O. V. Besov
The paper studies anisotropic classes of differentiable functions defined by integral norms of finite differences of generalized derivatives on domains stable under positive coordinate shifts. It constructs integral representations for functions in these quotient spaces, derives estimates using Hard…
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This paper addresses the dependence of radioactive fallout fractionation on particle size for products of nuclear explosions, especially large spherical particles formed in surface bursts. It develops a method for estimating fractionation coefficients by separating activity into volume and surface c…
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This paper studies the asymptotic behavior of trajectories in linear dynamic models of expanding economies with discrete time, with particular attention to dynamic linear programming and closed Gale or von Neumann type models. It formalizes dynamic linear programming problems, constructs equivalent …