S. N. L`vov, V. F. Nemchenko, Yu. B. Paderno
This paper reports systematic room-temperature measurements of the thermal conductivity of alkaline-earth and rare-earth metal hexaborides, motivated by the lack of data for these compounds and their practical relevance as thermionic emitter materials. Using a steady-state method on near-stoichiomet…
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This study examines how preliminary proton irradiation affects the subsequent thermal decomposition rate of potassium permanganate, motivated by earlier findings that X-rays and gamma radiation accelerate permanganate decomposition. Potassium permanganate samples were irradiated with 4.5 MeV protons…
A. D. Margolin, P. F. Pokhil
This paper examines how pressure can directly affect processes in the reaction layer of the condensed phase during gunpowder combustion, rather than influencing burning rate only through heat flux from the gas phase. The authors analyze dispersion caused by gaseous decomposition products dissolved i…
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This paper formulates a stationary axisymmetric nonlinear model of a cumulus cloud using dimensionless equations for radial and vertical velocity, temperature deviation, and pressure under simplifying assumptions about turbulent exchange and stratification. After showing that a small parameter permi…
B. A. VOSTRETSOV
This paper studies when a sufficiently smooth function of several real variables can be represented as a finite sum of one variable functions evaluated on prescribed linear forms, equivalently as a sum of plane waves in fixed noncollinear directions. Using homogeneous polynomials vanishing on the co…
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This paper applies a method based on the convergence of solvation energies of isoelectronic cations and anions to separate total solvation energies into contributions from individual ions in a range of aqueous and nonaqueous solvents. Using electromotive force and solubility data of varying reliabil…
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The study examines how prolonged beta, alpha, and gamma irradiation affects the mechanical properties of mercury-coated zinc single crystals. Amalgamated specimens were irradiated for varying durations and then tensile-tested at 20 °C and minus 196 °C without irradiation during deformation. Short be…
F. I. Monakhov
This paper addresses the difficulty of detecting storms in the open North Atlantic from conventional short-period microseism records, which are strongly attenuated and often masked by coastal microseismic background. It argues that frequency-selective recording of long-period microseisms, especially…
I. B. Amirkhanova, A. V. Borisov, I. G. Gverdtsiteli, A. T. Karamyan, R. Ya. Kucherov
This study determines evaporation coefficients for liquid boron trifluoride, boron trichloride, methane, and, for calibration, ethyl alcohol, motivated by their relevance to isotope separation by distillation. The authors use a closed-volume pressure-rise method, deriving coefficients from the linea…
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The paper studies convergence estimates for approximating the Dirichlet problem for an elliptic equation in an arbitrary plane domain by embedding the domain in a rectangle and solving an auxiliary elliptic problem with discontinuous coefficients. It derives bounds for the convergence of the auxilia…
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The paper derives trace formulas for sums of differences between eigenvalues of two self-adjoint operators with common domain, motivated by singular Sturm-Liouville problems under finite perturbations. It establishes inequalities bounding partial sums of eigenvalue differences by diagonal sums of th…
M. B. Balk
This paper studies value distribution for entire bianalytic functions of the form B(z) = phi(z) + conjugate(z) psi(z), contrasting them with the classical Picard theorem for entire analytic functions. Using normal and quasinormal family arguments together with generalized argument principle and Rouc…
A. V. EFIMOV
This paper addresses a question of P. L. Ul'yanov concerning whether a nondecreasing majorant of the Lebesgue functions for a linear summability method can serve as a Weyl multiplier for almost everywhere summability of orthogonal series. It proves negative results for Toeplitz-regular linear method…
I. S. ARSHON, M. A. IGLITSKY
This note proves a Phragmen-Lindelof type uniqueness theorem for harmonic functions of three variables in a half-cylinder with arbitrary planar cross-section. Using a Laplace transform in the axial variable, Fourier integral representations, and estimates for the associated kernel, the authors show …
N. G. BASOV, L. M. LISITSYN, B. D. OSIPOV
This study investigates optical excitation of recombination luminescence in semiconductors at high nonequilibrium carrier concentrations, with relevance to semiconductor quantum generators. A pulsed ruby optical quantum generator at 6934 Å was used to excite germanium, silicon, and gallium arsenide …
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This study examines how micelle formation in dilute aqueous surfactant solutions influences kinetic wetting during impregnation of porous hydrophobic materials. Wetting ability was measured by the time required for hydrophobized cotton fabric or collodion ultrafilters to become saturated, and result…
A. A. Shchepetkin, L. G. Khromykh, V. N. Bogoslovskii, M. G. Zhuravleva, G. I. Chufarov
This study examines equilibrium conditions and phase changes during the reduction of magnesium ferrite by hydrogen at 900°C. Magnesium ferrite prepared from stoichiometric magnesium oxide and ferric oxide was reduced in a closed circulating hydrogen and water vapor system, with equilibrium oxygen pr…
A. F. TIMAN
This note studies best uniform approximation on the half-line of bounded monotone convex functions by functions satisfying a prescribed modulus of continuity condition. For a convex unbounded modulus of continuity, it proves a duality theorem characterizing exactly which functions of the parameter M…
A. I. Titov
This paper examines the ionic nitration of unsaturated compounds, focusing on nitrofluorination as the conjugate addition of nitronium and fluoride ions to olefins and halogen-substituted olefins. It argues that solutions of nitric acid, dinitrogen tetroxide, potassium nitrate, or dinitrogen pentoxi…
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This study investigates solid solutions in the calcium orthosilicate, calcium orthogermanate system, motivated by the crystal chemical analogy between calcium silicates and germanates and their relevance to silicate materials. Twenty three compositions were synthesized and examined by microscopy, X-…
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This paper investigates the mechanism by which excited formaldehyde molecules are formed in chemiluminescent oxidation and cold-flame reactions. Using model radical sources, the authors compare proposed elementary processes involving methoxyl, methyl, and hydroxyl radicals, with emission identified …
B. V. DERYAGIN, M. A. AL’TSHULER
This paper examines how the solubility and diffusion of gases trapped in blind capillaries or fully immersed porous bodies affect capillary impregnation by liquids. Starting from earlier equations for impregnation with insoluble gases, the authors formulate a coupled description of liquid motion and…
A. V. Raevskii, G. B. Manelis
This study examines the thermal decomposition of ammonium perchlorate single crystals, with emphasis on how reaction centers form and grow in relation to crystal structure and temperature. Using microcinematography and gravimetric kinetic measurements, the authors show that below the phase transitio…
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This paper generalizes Timan’s refinement of Jackson’s theorem for approximation of functions on finite intervals by algebraic polynomials. It establishes pointwise estimates for bounded functions in terms of arbitrary moduli of smoothness, first on a single interval and then on a finite union of in…
I. F. Bel’skii, Corresponding Member of the Academy of Sciences of the USSR N. I. Shuikin,
This paper examines the catalytic synthesis of esters of gamma-ketocarboxylic acids through conjugated hydrogenolysis of furan-containing esters. Esters of beta-furylacrylic and beta-furylpropionic acids were prepared from furfural condensation products, selectively hydrogenated where necessary, and…
D. M. Chizhikov, M. E. Volkova, Yu. V. Tsvetkov
This study examines the thermodynamic behavior of tin monoxide in SnO-SiO2 melts, a system relevant to tin losses in pyrometallurgical slags. The authors determined SnO activity by an electromotive force method using a concentration cell without transference, after confirming the stability of liquid…
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The paper studies the spectrum of a non-self-adjoint differential operator of even order on the whole real line with a generally complex exponentially decaying potential. Using the resolvent kernel of the unperturbed operator, Fredholm determinant techniques, analytic continuation, and estimates bas…
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This paper studies uniform coding problems in which the exact statistics of a discrete memoryless channel, or of a source with independent components, are not known, but belong to prescribed consistent classes. It formulates minimax notions of channel capacity with randomized encoding and of epsilon…
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This paper studies linear canonical transformations in second quantization for fermion and Bose commutation relations, with particular attention to transformations that are not implemented by unitary operators in the original Hilbert space. It shows that every linear canonical transformation can be …
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This paper addresses the separation of experimentally measured lattice magnetic susceptibility into diamagnetic and paramagnetic components for ionic and semiconductor compounds. Using X-ray-derived electron-density distributions, with corrections to zero temperature and elimination of vibrational e…
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This paper examines mechanoelectron emission, the emission of fast electrons under mechanical action in high vacuum, during adhesive detachment and deformation of polymer films. The authors describe a vacuum apparatus combining mechanical adhesion measurements with electron detection by secondary el…
E. M. GANAPOL’SKII, A. N. CHERNETS
This paper proposes and analyzes a method for exciting hypersonic waves in quartz using surface slow electromagnetic waves propagating along a periodic structure, motivated by limitations of cavity resonator piezoelectric excitation at very high frequencies. The authors formulate the elastic equatio…
A. D. PETROV, E. B. SOKOLOVA, M. P. SHEBANOVA, N. I. GOLOVINA
This study examines the platinum-catalyzed addition of several silicon hydrides to dimethylallylferrocenylsilane as a route to silicon-containing ferrocene derivatives. Dimethylallylferrocenylsilane was prepared from dimethylallylchlorosilane and ferrocenyl lithium, then reacted with trialkylsilanes…
For Dirichlet series
This paper studies Dirichlet series with complex exponents whose sequence has angular density, extending earlier results on series with positive exponents or exponents asymptotically directed along the real axis. Using a method for determining convergence domains and a generalized Cramér Pólya type …
V. P. PALAMODOV
This note extends the global theory of linear differential equations with constant coefficients from single equations and square systems to arbitrary underdetermined and overdetermined systems in spaces of functions and generalized functions allowing exponential growth. It formulates a solvability c…
A. S. SHVARTS
This note develops a theory of functors on categories of Banach spaces, emphasizing duality, reflexivity, and operator rings. After defining bounded linear functors and natural mappings between them, it introduces dual functors through morphisms into tensor product functors and proves isometric iden…
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This note studies the large time behavior of the solution to a forced Cauchy problem for a homogeneous positive definite elliptic operator with constant coefficients, focusing on the existence of a limiting amplitude. Using the Laplace transform and analytic continuation of the resolvent kernel, it …
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The paper studies whether equimorphisms of hyperbolic spaces extend naturally to mappings of the sphere of infinitely distant points, contrasting this behavior with the failure of such a statement in Euclidean spaces of dimension at least two. It proves that the image of any geodesic ray under an eq…

This study uses electron paramagnetic resonance to examine the formation of alcohol radicals during ultraviolet irradiation of alcohol solutions at 77 K. Pure methanol, ethanol, and isopropanol produced only small radical concentrations under full mercury lamp irradiation, whereas solutions containi…
S. S. Voyutskii, V. G. Raevskii, S. M. Yagnyatinskaya
This study examines how the physical state of polymers during contact formation affects adhesion, using the diffusion theory of adhesion as its interpretive framework. Peel resistance measurements for joints between polyethylene and several elastomers show that adhesion increases with contact time a…
S. L. SOSIN, V. V. KORSHAK, V. P. ALEKSEEVA
This paper examines the preparation of polymers and copolymers containing ferrocene units by the polyrecombination method. Alkyl and cyano derivatives of ferrocene, including isobutylferrocene, diisobutylferrocene, isoamylferrocene, and cyanoferrocene, were reacted with tert-butyl peroxide, and copo…
P. V. Kharlamov
This paper studies the motion of a heavy rigid body with a fixed point and cavities filled with an ideal liquid, including multiply connected cavities with prescribed circulations. Starting from Zhukovskii’s equations and their standard first integrals, it seeks an analogue of the Bobylev-Steklov in…
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The paper studies algorithms for determining a resolving set of an arbitrary monotone Boolean function given by an oracle for its values, representing such algorithms as decision trees whose height measures complexity. It proves a general lower bound for the height of any tree with unique terminal i…
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This paper studies conformal mappings and boundary value problems in planar domains whose boundaries have a corner. Extending Kellogg’s regularity theorem, it establishes conditions under which a conformal map between domains with the same corner angle preserves Hölder smoothness up to the boundary …
M. G. Gonikberg, N. I. Prokhorova, E. F. Litvin
This study examines whether high pressure can alter the structural orientation of the radical phenylation of tert-butylbenzene with benzoyl peroxide, a reaction in which ortho substitution is normally suppressed by steric hindrance. Using gas-liquid chromatography, the authors measured the isomeric …
Yu. I. Neimark
The paper studies whether arbitrary small perturbations of the Poincare point mapping near a fixed point of a closed trajectory can be realized by comparably small perturbations of the right hand sides of the generating system of differential equations. Using coordinates adapted to the periodic orbi…
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This note proves homeomorphism theorems for elliptic operators with general homogeneous boundary conditions in Hilbert scales, including spaces of negative norm. Using an interpolation theorem and coercive estimates, it establishes a complete set of mappings for properly elliptic boundary value prob…
V. M. LENCHENKO
This paper proposes a phenomenological kinetic description of crystallization nucleus formation and growth in glassy selenium under ionizing radiation. It argues that radiation accelerates crystallization by producing ruptures in polymer selenium molecules, creating mobile segments that can aggregat…
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The paper introduces algebraic R-operations on real-valued functions to encode logical relations between inequalities and thereby construct analytic descriptions of geometric objects. It establishes operations corresponding to negation, conjunction, and disjunction of sign conditions, showing that t…
S. A. PAK
This paper studies when the Green’s function for a second order Sturm-Liouville boundary value problem with general separated boundary conditions exists and preserves a fixed sign. It derives necessary and sufficient criteria in terms of auxiliary twice differentiable functions satisfying endpoint a…