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This study investigates nitric oxide formation during strong adiabatic compression of nitrogen oxygen mixtures containing methane, hydrogen, or carbon monoxide, using added fuel combustion to raise the reaction temperature beyond that attainable by compressing air alone. Experiments in a single stro…
Unknown
This paper applies Bogolyubov’s variational principle to binary alloy and Ising model problems by choosing a trial Hamiltonian that includes interactions within pairs of neighboring lattice sites, while treating interactions between pairs variationally. For a 50 percent binary alloy, the method yiel…
Yu. I. YANOV
This paper develops a formal theory of matrix schemes, which represent the order of execution of operators controlled by logical variables and by specified sets of variables whose values may change after each operator. It defines admissible sequences, determinacy of a matrix scheme, equivalence of s…
Unknown
This study examines isotopic exchange between several organomercury salts and metallic mercury labeled with Hg-203, with emphasis on alpha-mercurated oxo compounds. Reactions were conducted under standardized heterogeneous conditions in benzene or dioxane, and exchange was measured by isolating and …
A. I. MUKHIN, I. V. POPOVA, and G. N. TENTYUKOVA
This paper analyzes phase shifts in elastic scattering of positive pi mesons by protons in the energy range up to about 310 MeV, where contributions beyond S and P waves may begin to matter. Experimental angular distributions are fitted by least squares, and electronic-computer searches are used to …
Unknown
The paper addresses the three-dimensional inverse problem for the Newtonian potential: determining a finite simply connected domain of constant density from its prescribed exterior potential. Using Cauchy-type integral formulas for potential-harmonic vector functions and their boundary limiting valu…
Unknown
This paper investigates the mechanism of fast photoproton production from nickel and aluminum under irradiation by bremsstrahlung gamma quanta with a maximum energy of 85 ± 5 MeV. Using a scintillation telescope with calibrated CsI(Tl) and NaI(Tl) counters, the authors measured energy distributions …
G. G. Shlyonskii
This paper studies extremal problems for differentiable functionals on classes of univalent functions, distinguishing extremal functions that optimize a real functional from boundary functions for vector-valued ranges of variation. It defines classes of weakly differentiable real and complex functio…
Unknown
This paper studies equivalence of linear systems of partial differential equations with constant coefficients after reduction to first order in one distinguished variable. It defines equivalence by the existence of a nonsingular matrix differential operator transforming solutions of one system into …
T. A. Germogenova
This paper develops approximation methods for solving the transport equation in a finite plane layer when scattering is strongly anisotropic and standard spherical harmonic or small-angle methods are inadequate, especially at large angles. The solution is factored by a weight function chosen to capt…
Unknown
This paper examines how dissolved gases, especially oxygen, affect the flotation of the nonsulfide minerals fluorite and barite, and relates these effects to differences in crystal structure and surface fields. Flotation experiments on purified mineral fractions under controlled oxygen, nitrogen, an…
A. F. Ioffe
Unknown
This study examines how polymerization conditions affect the microstructure and spatial configuration of polyisoprene molecular chains, comparing catalytically polymerized SKI rubbers with emulsion polyisoprenes produced by free radical polymerization. Infrared absorption spectra in the 800 to 1000 …
and T’IEN SIN-HUA
This study examines the vapor phase hydrogenolysis of alpha-methyl-alpha-prime-ethylfuran on platinized carbon, addressing how two alkyl substituents of different chain length influence cleavage of furan C, O bonds. The substrate was synthesized from sylvan through acetylation, hydrazone formation, …
The equations of motion of an aerosol particle in a flow, for Stokes’ law of resistance of the medium, have the form
This paper examines the critical Stokes number for inertial deposition of aerosol particles in viscous flow around a cylinder and a sphere, emphasizing that a formula valid for potential flow cannot be applied to viscous flow because the no-slip boundary condition makes the relevant velocity gradien…
N. P. Shusherina, M. Yu. Lur’e, and R. Ya. Levina
This paper describes a preparative conversion of gamma-bromo-delta-keto acids into butyrolactones acylated at position 5 using saturated aqueous sodium acetate under cold conditions. The method was applied to several aliphatic and cyclic substrates, affording 5-acetylbutyrolactone, 5-acetyl-5-methyl…
Unknown
This paper extends Kolmogorov’s theory of extrapolation for stationary processes to multidimensional homogeneous random fields with discrete and continuous arguments. It introduces direction-independent notions of regularity, nonsingularity, and singularity, proves decomposition and moving-average t…
Unknown
This paper reports the synthesis of salts of 4-alkyl-1-azadehydroquinolizinium, an aza analog of the dehydroquinolizinium system whose chemistry had been little studied. The authors condense alpha-aminopyridine with beta-ketoacetals to form 2-acylacetylaminopyridines, then cyclize aliphatic derivati…
Unknown
This paper describes a synthetic route from 2,4-dimethylpentadiene-1,3 to paraffinic hydrocarbons containing two quaternary carbon atoms separated by a methylene group, termed ditertiaryalkylmethanes. The method proceeds through hydrochlorination of the diene, reaction with alkylmagnesium bromides t…
A. V. TOPCHIEV and V. N. ANDRONOV
This paper examines the alkylation of benzene with ethylene at room temperature using molecular compounds of orthophosphoric, monofluorophosphoric, and difluorophosphoric acids with boron fluoride as catalysts. The authors describe batch experiments measuring ethylene conversion and alkylate composi…
A. F. TIMAN and M. F. TIMAN
This paper studies relations between moduli of smoothness of different orders for measurable functions on the whole real axis in the spaces Lp, 1 ≤ p ≤ ∞. The authors prove an integral inequality estimating a lower order modulus of smoothness in terms of a higher order modulus, derive consequences f…
Unknown
This paper proposes using nuclear magnetic resonance absorption, under rapid passage conditions, as an indirect means of detecting free radicals through their effect on spin lattice relaxation time. The authors test the idea with benzene solutions containing diphenylpicrylhydrazyl, with increased vi…
Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV, R. I. BASHIROV,
This paper examines how phonon drag affects thermomagnetic phenomena in polycrystalline bismuth selenide. Measurements of electrical conductivity, Hall effect, thermopower, and transverse and longitudinal Nernst-Ettingshausen effects were performed on several specimens between 120 and 700 K, with bo…
Unknown
This note extends the idea of conjugate problems from plane elasticity to the theory of thin shells. Under simplifying assumptions for a homogeneous shell with boundary along a line of curvature and zero Poisson coefficient, it introduces complex combinations of displacements, stresses, moments, and…
S. I. Syrovatsky
Although magnetohydrodynamics is a young, rapidly developing field of physics, a number of important results have already been obtained in it that make it possible to identify the characteristic features of the range of phenomena under consideration. The main results are presented in the present rev…
Unknown
This paper studies pulsations of a plasma pinch in ideal magnetohydrodynamics for one-dimensional axisymmetric motion with circular magnetic field lines. It derives a class of exact homogeneous-deformation solutions in Lagrangian coordinates, expressing density, pressure, and magnetic field through …
Unknown
The paper extends a statistical theory of crystallization based on Bogolyubov’s method from one-component systems to multicomponent systems with short-range interactions. It derives functional equations for generating functionals and correlation functions, expresses distribution functions through si…
Unknown
This paper develops a method for estimating maximum shear stresses in the bending of prismatic cantilever bars whose cross sections are symmetric with respect to the axis of loading. Using a complex bending function and properties of subharmonic functions, it derives integral relations for tangentia…
Unknown
This paper examines allene, acetylene isomeric transformations in organosilicon compounds, extending Favorskii-type rearrangements to systems in which the unsaturated group is separated from silicon by carbon atoms. The authors synthesize beta, gamma-organosilicon allenic hydrocarbons by condensing …
A. V. MARTYNOV
This paper develops a local form of infinite divisibility for general stochastic processes, especially Markov processes that may be inhomogeneous in space and time. It defines right and left differentiability of families of distribution functions through local limits of characteristic functions and …
Unknown
This paper studies existence and uniqueness questions for the nonlinear theory of elastic shells in a general setting, extending earlier results for shells close to plates under transverse loading. The shell equations are formulated with clamped boundary conditions and interpreted through generalize…
V. S. Vavilov, V. M. Malovetskaya, G. N. Galkin, A. P. Landsman
Unknown
This paper examines whether seismic wave velocities can be used to infer zones of relative extension within the Earth’s shell despite the lack of direct density data at depth. Using published longitudinal and transverse wave velocities, it derives the ratio of bulk modulus to rigidity modulus and re…
Unknown
This study examines the crystallographic and crystal optical properties of acid sulfates of monovalent thallium formed from thallium sulfate in sulfuric acid solutions. Using immersion refractometry, goniometric measurements, and optical microscopy, the authors characterize Tl3H(SO4)2, TlHSO4, and T…
N. F. MOROZOV
This paper studies the existence of solutions for the nonlinear bending problem of thin plates governed by the Kármán equations under clamped and related boundary conditions. The differential system is transformed into an integro-differential equation using the biharmonic Green function, and the Sch…
Unknown
The paper studies analytic continuation and convergence properties of series in Faber polynomials associated with a bounded simply connected domain and its exterior conformal mapping. It establishes a correspondence between such Faber series and ordinary power series with the same coefficients, usin…
Unknown
The study constructs the phase diagram of the previously unexamined RbF and BeF2 system as a fluoride model for comparison with BaO and SiO2. Using differential thermal analysis, X-ray phase analysis, and crystal optical examination of synthesized rubidium fluoroberyllates, the work identifies three…
A. V. TOPCHIEV, N. S. NAMETKIN, and F. F. MACHUS
This paper reports the preparation and characterization of several silicon hydrocarbons in the disilanemethane and disilaneethane series bearing varied alkyl substituents. The compounds were synthesized through reactions of organolithium reagents with alkylchloro and dialkylchloro disilanemethane de…
Unknown
This note characterizes when two prescribed subsets of the real line can occur as the exact sets where the derivative of a finite real function is respectively equal to positive and negative infinity. It proves that this is necessary and sufficient precisely when both sets have measure zero and are …
M. Markov
Unknown
This study examines how the propylene to oxygen ratio affects formation of carbonyl compounds during propylene oxidation over a 1.5% copper oxide catalyst on silicon carbide at 350°C. Using product derivatization, hydroxylamine titration, gas analysis, and ultraviolet spectrophotometry, the authors …
Yu. A. ROZANOV
This note studies linear interpolation for stationary processes with discrete time, extending Kolmogorov’s interpolability condition and related one-dimensional results to multidimensional and infinite-dimensional settings. It first formulates stationary processes in a coordinate-free Hilbert space …
Unknown
This study examines the reactions of dibromides of unsaturated delta lactones with water and ethyl alcohol as routes to bromine substituted delta keto acids and their esters. The authors show that hydrolysis proceeds with lactone ring opening and loss of hydrogen bromide to give gamma or epsilon bro…
G. V. SPIVAK, T. N. DOMBROVSKAYA, and N. N. SEDOV
This paper presents an electron-optical method for observing ferromagnetic domain structure using photoelectrons focused by magnetic optics. The authors describe a photoelectron emission microscope in which an antimony, cesium photocathode is formed on a cobalt specimen, allowing local magnetic micr…
Unknown
This paper examines manganese-activated zinc-borate phosphors and the factors controlling their luminescence color. Using X-ray powder diffraction, luminescence spectra, thermoluminescence measurements, and thermal analysis, it identifies two individual phosphor phases, ZnO·B2O3(Mn) with green emiss…
I. I. Moiseev and Ya. K. Syrkin
This paper examines the mechanism of olefin hydration in aqueous strong acid solutions, focusing on whether observed Hammett acidity correlations justify a stepwise pathway through a pi-complex or carbonium ion. Using thermochemical estimates, molecular orbital considerations, solvation energies, an…
Unknown
The paper develops a method for reconstructing particle distribution functions in electron-photon cascade showers from a finite number of known moments, with particular attention to the singular behavior of the spatial distribution near the shower axis. The authors approximate the regularized distri…
Unknown
The note proves a decomposition theorem for a random variable represented as the sum of independent Gaussian and Poisson components, generalizing results of Cramér and Raikov. It shows that any decomposition of such a law into two independent summands must itself split into corresponding Gaussian an…
A. K. BONETSKAYA and K. G. KRASILNIKOV
This study examines the adsorption of normal aliphatic alcohols from carbon tetrachloride solutions on two hydrophilic silica adsorbents with similar hydrated surfaces but different structures: porous silica gel and practically nonporous white soot. Adsorption isotherms and limiting adsorption value…
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