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The paper addresses whether a complete orthonormal system of uniformly bounded functions can be a system of convergence, meaning that every square summable coefficient sequence yields an almost everywhere convergent orthogonal series. It constructs such a system on the unit interval by modifying Haa…
V. A. Kargin, S. Kh. Fakirov, N. F. Bakeev
This paper presents a specimen preparation method intended to permit direct electron-microscopic observation of supramolecular structure in polymer solutions without removing the solvent. The method uses a readily vitrifying solvent with a glass-transition temperature above room temperature, so that…
Academician **V. A. KARGIN**, **T. I. SOGOLOVA**, **N. Ya. RAPOPORT-MOLODTSOVA
This paper examines how artificial crystallization nuclei affect crystallization kinetics and mechanical behavior in isotactic polystyrene, a polymer whose melt crystallizes slowly because of limited nucleation and growth rates. Films were prepared from melts at elevated temperatures and crystallize…
N. Ya. KRUPNIK
The paper studies multidimensional singular integral operators, including matrix operators, in spaces of test functions and generalized functions. It introduces a countably normed test function space and its dual, defines extensions of singular operators by adjointness, and proves normal solvability…
S. M. DUBROVINA, V. A. SHIGIN
This paper reports measurements of neutron induced fission cross sections for Pa-231 and Pu-239 using an electrostatic accelerator, with Pa-231 studied over 140 to 1740 keV and Pu-239 over 1.5 to 1250 keV. Motivated by earlier observations that some fissioning nuclei show threshold region irregulari…
Unknown
This note studies the loss of stability of stationary solutions and the emergence of limit cycles in a three-dimensional system modeling a damped rigid body under constant forcing, and in Galerkin approximations of the Navier-Stokes equations satisfying an energy-conservation condition. It gives suf…
L. S. POLAK, Academician of the Academy of Sciences of the Kazakh SSR S. R. RAFIKOV, B. L. TSETLIN
This paper addresses the preparation of mechanically strong organic semiconducting materials by forming composite fibers in which a glass fiber substrate provides strength and a grafted polymer component provides electrical functionality. The authors apply radiation gas-phase graft polymerization of…
E. N. TELESHOV, A. S. TELESHOVA, N. V. DESYATOVA, A. N. PRAVEDNIKOV,
This study examines gas evolution, radical disappearance, and double bond formation during the radiolysis of polyisobutylene over temperatures from liquid nitrogen conditions to elevated temperatures. Using cobalt-60 and electron irradiation, mass spectrometry, chromatography, viscometry, and infrar…
Unknown
This paper reports the synthesis of fibrous and needle-like alkali amphibole, specifically fluorine- and chlorine-bearing magnesian arfvedsonite, from stoichiometric oxide mixtures with sodium fluoride and chloride fluxes. Experiments at 800 to 1000 degrees showed distinct crystallization conditions…
A. L. SUVOROV, S. S. SPASSKII
The study examines the insufficiently characterized reactions of alkyl orthotitanates with anhydrides of dibasic organic acids, using isopropyl and butyl orthotitanates with maleic and phthalic anhydrides in 1:1 and 1:2 molar ratios. The reactions proceed exothermically at room temperature in ether,…
A. A. Sokolov, Yu. P. Ivanov, Yu. G. Pavlenko, B. K. Kerimov
The paper applies damping theory to neutrino and antineutrino scattering on electrons within the four-component neutrino theory with a V minus A weak interaction. By expanding scattering amplitudes in Wigner functions and summing the corresponding chain diagrams with intermediate propagators replace…
Unknown
This paper examines the nature of newly discovered discrete cosmic X-ray sources, especially the possible association of one source with the Crab Nebula. While noting the importance of the hot neutron star interpretation, it develops an alternative model in which X-rays arise as magnetobremsstrahlun…
Unknown
This paper examines the use of the diffraction shadow method for quantitatively determining the intensity of plane shock waves formed at a model in a supersonic flow. The authors derive and analyze formulas relating photographic density in diffraction maxima to optical path difference, including est…
Unknown
The paper studies elliptic boundary value problems with nonhomogeneous boundary conditions for properly elliptic operators on bounded domains. It introduces Sobolev-type spaces with boundary trace norms adapted to low and negative smoothness, and proves a homeomorphism theorem for the operator mappi…
N. P. GAMBARYAN, L. A. SIMONYAN, Academician I. L. KNUNYANTS
This paper examines an unusual mode of addition of diazoacetic ester to highly electrophilic fluorinated ketones, especially hexafluoroacetone and nitroperfluoroacetone. The authors show experimentally that hexafluoroacetone gives ethyl β,β-bis(trifluoromethyl)glycidate, while nitroperfluoroacetone …
B. V. Melent'ev
This paper studies a Hilbert-Poincare boundary-value problem for the Tricomi equation in a domain composed of an elliptic part above the degeneracy line and a hyperbolic part bounded by characteristics below it. The argument reduces the mixed-type problem, using the Tricomi problem and gluing condit…
Unknown
The paper introduces partial topological products, a construction that generalizes Tychonoff products by attaching fibers only over specified open subsets of a base space. It defines the construction, establishes basic preservation and dimension properties, including conditions for compactness, regu…
F. I. Vilesov, V. M. Zaitsev
Gas-phase photoionization of diphenylamine and triphenyl derivatives of Group 5 elements was studied to determine first ionization potentials and assess the nature of the ionization process. Using vacuum ultraviolet radiation with a heated ionization cell for low-volatility compounds, photoionizatio…
G. V. Yukhnevich, A. V. Karyakin
This paper examines how the valence OH vibration frequencies of a water molecule are related to the energies of hydrogen bonds formed with its surroundings. Treating the two OH bonds as coupled harmonic oscillators perturbed by symmetric and asymmetric hydrogen-bond interactions, the authors derive …
Vikt. I. Spitsyn, R. A. D'yachkova, V. P. Khlebnikov
This study examines the chemical state of protactinium in nitric acid solutions, a factor affecting its separation from thorium, uranium, and fission products in nuclear fuel processes. Protactinium-231 and protactinium-233 were extracted with tributyl phosphate in benzene to assess extraction kinet…
Unknown
This paper studies a mixed boundary value problem for a partial differential equation not solved with respect to the highest time derivative, with homogeneous Dirichlet conditions on a bounded planar domain. It introduces an associated spectral problem depending on a complex parameter and, for the c…
A. N. GUZ
The paper develops a method for solving elasticity problems for shallow spherical shells occupying multiply connected domains bounded by circular contours. The stress function is decomposed into harmonic, Helmholtz, and particular parts, with analytic function expansions and cylindrical functions us…
Corresponding Member of the Academy of Sciences of the USSR V. V. VOEVODSKII, R. I. SOLOUKHIN
This paper examines how chain-branching kinetics determine the mechanism and limits of self-ignition and detonation onset in hydrogen-oxygen mixtures compressed by shock waves. Using a kinetic scheme for hydrogen combustion, the authors calculate ignition delay times as functions of pressure and tem…
Unknown
This paper studies when quotient images of metrizable spaces remain metrizable under special classes of mappings, including regular, uniform, bicompact, pseudo-open, monotone, and closed mappings. It introduces \(k_n\)-spaces and gives criteria showing, for example, that a regular quotient image of …
Unknown
The study applies the emanation method to examine structural changes in zinc oxide and nickel oxide modified with small additions of lithium and gallium oxides. Radioactive thorium labeling and temperature-dependent measurements of thoron release were used to assess lattice defectiveness, solid-solu…
Corresponding Member of the USSR Academy of Sciences K. A. KOCHESHKOV
This study examines how lithium halide salts affect the association and reactivity of organolithium compounds in ethereal solution. Using ebullioscopic molecular weight measurements under argon, the authors investigated phenyllithium, alpha-naphthyllithium, methyllithium, n-butyllithium, lithium bro…
Yu. A. ZHDANOV, G. N. DOROFEENKO, V. A. PALCHKOV, G. P. SAFARYAN
The study examines the condensation of 1-methyl-3-phenyl-5,6,7,8-tetrahydroisochromylium perchlorate with several aromatic aldehydes to prepare colored 1-styryl-substituted tetrahydroisochromylium perchlorates. Reactions were carried out in acetic acid, generally with a small amount of acid to suppr…
Unknown
This paper studies a class of differential games in which the state evolves by analytic ordinary differential equations with two controls, and the objective is to reach a prescribed manifold in minimal time under an opposing control. Using Pontryagin-style adjoint variables and extremal trajectories…
Unknown
The paper studies sequences of generalized Appell polynomials defined by the relation that the kth derivative of the nth polynomial equals the polynomial of degree n minus k. It gives necessary and sufficient integral moment conditions for such sequences, derives explicit forms of their generating f…
V. N. SUDAKOV
The paper addresses the Behrens-Fisher problem for two normal samples with unequal variances, focusing on the existence of nonrandomized homogeneous tests similar with respect to nuisance parameters. It proves that, for any prescribed level between 0 and 1 and sample sizes of different parity, there…
E. I. VASIL'EVA, B. I. KEDA, Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA
The study examines the addition of cyanogen chloride to vinyl ethyl ether, a reaction not previously described for unsaturated compounds bearing functional groups, in the presence of radical initiators or ultraviolet irradiation. Experiments using dicyclohexyl peroxydicarbonate, azo-bis-isobutyric a…
Corresponding Member of the Academy of Sciences of the USSR A. V. Bitsadze
Yu. A. ARKHANGELSKII
This paper studies particular periodic solutions of the Euler-Poisson equations for the motion of a heavy rigid body about a fixed point, in the limiting case where the initial rotation about a principal inertia axis is large and the parameter satisfies omega equals one half. It derives additional e…
Pulela Kamesvara Sarma
This study examines heat and mass transfer regimes in once-through steam-generating tubes near the transition from developed boiling to impaired heat transfer, where temperature measurements with pure condensate provide limited insight. The authors introduce a “salt” method using an unsaturated sodi…
Unknown
The paper studies extremal inequalities for moduli of smoothness of periodic functions whose pth derivative is bounded almost everywhere. Using an integral representation of such functions and an analysis of the signs of finite differences of the kernel, it proves that for each natural k not exceedi…
Unknown
The paper studies solvability of the abstract Cauchy problem \(dx(t)/dt=Ax(t)\), \(x(0)=x_0\), for a linear operator in a Banach space. It introduces a local Laplace transform suitable for finite time intervals and for infinite intervals without growth restrictions, proves uniqueness and inversion r…
L. P. VASILEVSKAYA, N. F. BAKEEV, L. G. LAGUN, P. V. KOZLOV,
This study examines how small additions of surface-active substances affect the crystallization structure and mechanical properties of crystalline polyhexamethylene adipamide, using several anthraquinone-based dyes introduced from the melt or solution. Optical microscopy, electron microscopy, dynamo…
Unknown
This paper studies spectral localization for normal operators in Hilbert space and extends earlier perturbation results and lemmas of Glazman. It establishes dimension and codimension criteria relating bounds on the difference of two normal operators to the number of spectral points of one operator …
A. V. EGUNOV, P. I. DOLIN
This study examines the radiation-chemical reduction of potassium ferricyanide in aqueous sulfuric acid solutions saturated with hydrogen, using gamma irradiation and spectrophotometric measurement of ferricyanide loss. The authors use high hydrogen pressures to convert hydroxyl radicals into hydrog…
B. I. Podlovchenko, E. P. Gorgonova
This study examines the nature and composition of species strongly chemisorbed on platinized platinum electrodes in acidic methanol solutions, addressing whether adsorption involves intact methanol molecules or decomposition products. Using charging curves after introducing methanol at controlled el…
M. M. Dubinin, E. G. Zhukovskaya
Equilibrium adsorption of vapors on microporous adsorbents is examined to clarify whether limiting uptake is governed by surface area or by filling of micropore volume. Using gravimetric isotherms for zeolites CaA and NaX, active carbons with differing microporous structures, and silica gel as an op…
M. N. Fokin, V. A. Timonin, A. M. Danilov
This study quantifies the electricity consumed in forming the passive oxide film on titanium during galvanostatic passivation in acidic reducing media, separating this contribution from leakage current associated with active dissolution. Experiments were carried out on titanium in hydrochloric, sulf…
Unknown
This study examines the radical telomerization of vinyl acetate with cyanogen chloride, a pseudohalide whose radical reactions were only partly characterized. Vinyl acetate was reacted with excess cyanogen chloride in the presence of dicyclohexyl peroxydicarbonate at 60°C, giving chloro acetoxy nitr…
L. G. ZASTAVENKO, A. CHILOK
This paper proposes a numerical method based on stationary phase for evaluating solutions of kinetic equations arising in multiple scattering, where direct summation of angular momentum expansions may require many terms and suffer from cancellations. The authors transform the standard series solutio…
Unknown
The paper studies a linear dynamic programming problem, motivated by bottleneck problems, in which admissible controls are defined by polyhedral inequalities depending on the state and the state variables may have a fixed boundary. It formulates an augmented system and an adjoint construction analog…
Unknown
This paper examines errors in transparency measurements of turbid media caused by neglecting light that is scattered directly into the receiver, with particular attention to media containing large particles such as fog droplets. Under a single-scattering approximation, the authors derive correction …
Unknown
The paper develops an algorithm for the finite Chebyshev approximation problem in Hilbert space, where one seeks a vector minimizing the maximum norm of deviations for a system of bounded linear operators. The method constructs successive approximations by identifying nearly maximal deviations, choo…
Unknown
This paper examines low-temperature crystallization in natural rubber using differential thermal analysis, with the aim of identifying crystalline phases on thermograms and following their formation over time. Thermograms of smoked-sheet natural rubber show distinct endothermic effects attributed to…
Unknown
This paper investigates whether neutral saponifiable lipids contain alcohol components other than glycerol, a possibility suggested by earlier anomalies in lipid analyses. Neutral lipid fractions from corn and sunflower seeds, mutton fat, cod liver, and soil yeasts were examined by silica gel and th…
Unknown
The paper proves uniqueness theorems for analytic and meromorphic functions in the unit disk belonging to refined Nevanlinna type classes defined by area growth conditions. Building on results of Carleson and integral representations of Dzhrbashyan, it shows that for functions in the classes \(T_\al…