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The study examines the thermal decomposition of diazomethane highly diluted in a nitrogen stream as a source of methylene radicals under conditions minimizing explosive and secondary reactions. Diazomethane was generated, carried by purified nitrogen through a heated reaction zone, and quantified fr…
V. P. MIKHAILOV
This note studies the local analytic Goursat problem for a first order system of differential equations in two variables, with each unknown prescribed on a line, and also indicates the analogous formulation for analytic curves through the origin. The system is reduced to integral equations along cha…
Unknown
This note extends Kuhn’s theorem on the equivalence of mixed and behavior strategies in games in generalized form to a broader class of recall structures. It introduces auxiliary notions describing relevant preceding information sets, proves two general results about possible positions and relevance…
O. K. YANAT’EVA
This study examines the solubility polytherm of the reciprocal aqueous system involving calcium carbonate, magnesium sulfate, calcium sulfate, and magnesium carbonate, with emphasis on the stability field of dolomite. Using prolonged isothermal dissolution of prepared dolomite and salt mixtures unde…
N. F. ORLOV
A series of previously undescribed trialkylsiloxyaluminum dihalides of the type R3SiOAlX2, where X is chlorine or bromine, was prepared and characterized. The compounds were synthesized by heating equimolar hexaalkyldisiloxanes with aluminum halides while distilling off the corresponding trialkylhal…
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This paper analyzes the evolution of small nonstationary discontinuities in a one-dimensional relaxing medium, where relaxation processes introduce distinct low-frequency and high-frequency sound speeds. Using linearized hydrodynamic equations with a single relaxation time, the authors solve the pis…
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The paper treats homing of guided projectiles as a technical cybernetics problem, arguing that kinematic criteria such as line of sight angular velocity, normal acceleration, or overload are insufficient when projectile rigid body dynamics and rudder limits are considered. It derives equations for i…
A. B. DRAPKIN
This paper studies the asymptotic behavior of eigenvalues and eigenfunctions for a class of second order elliptic systems with matrix coefficients in a bounded domain with Lyapunov boundary, under Dirichlet boundary conditions and positivity assumptions. Using Carleman’s method together with Lopatin…
A. F. Postovskaya, M. A. Salimov, and A. S. Kuzminskii
This study examines how ultraviolet irradiation changes the degree of sulfidity of sulfur cross-link structures in sodium-butadiene rubber vulcanizates prepared by polysulfide and thiuram curing systems. Because chemical and infrared methods were considered insufficiently reliable for distinguishing…
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This study examines the chromatographic separation of aromatic hydrocarbons from mixtures containing organosulfur compounds typical of higher boiling petroleum fractions. Using frontal chromatography, the authors measured specific adsorption of selected aromatic and sulfur compounds from isooctane s…
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This study examines the interaction of metallic cerium with hydrogen and the compositions of the hydrides formed under varying temperature and pressure conditions. Using purified cerium and hydrogen, the authors measured hydrogen uptake by pressure decrease, sample weight gain, and hydrogen evolutio…
Unknown
The paper addresses the design of combined automatic control systems that include additional connections for disturbing actions in order to reduce their effect on the controlled output. It proposes a frequency-domain assessment method based on plotting Mikhailov curves for the system and disturbance…
I. A. KVASNIKOV
This paper applies Bogolyubov’s variational principle to the Ising model of an antiferromagnet and discusses its relevance to order-disorder phenomena in binary alloys, adsorbed monolayers, and lattice gases. By dividing the lattice into two sublattices and introducing variational parameters, the au…
V. M. FRIDKIN, N. T. KASHUKEEV, and I. S. ZHELUDЕV
This paper develops a kinetic theory for the formation of the photoelectret state in sulfur, treating the stored charge as proportional to the concentration of electrons fixed at trapping levels below the conduction band. Using rate equations for optical excitation, trapping, recombination, and, whe…
G. A. FEDORUS, and M. K. SHEINKMAN
The paper investigates why the photoconductivity of CdS single crystals decreases in the short-wavelength region of the intrinsic absorption band. Using stationary spectral photocurrent measurements, transient decay measurements of carrier lifetime, pulsed-light determinations of photocurrent yield,…
B. A. Mirtov, V. G. Istomin
The study of the ionic composition of the ionosphere may also help solve the problem of the formation and existence of ionized layers at different altitudes. This will become possible by examining changes in the ionic composition over the course of a day (from day to night), as well as changes in th…
M. I. Kabachnik and E. N. Tsvetkov
A general preparative route is described for esters of alkylphosphinous and arylphosphinous acids, compounds that were previously difficult to obtain because conventional syntheses required alkyldichlorophosphines. The method treats dialkyl chlorophosphites with alkyl or aryl Grignard reagents in et…

This study examines the thermal transformations of alumina and their bearing on whether dehydrated kaolin forms free oxides or a definite amorphous compound, metakaolinite. Using thermographic and X-ray methods, the authors compare alumina produced from hydrargillite, aluminum nitrate, and aluminum …
A differential equation is considered
The paper studies the one-dimensional non-self-adjoint differential operator Ly equals minus y double prime plus p(x)y in L2 on the real line, where p has real and imaginary parts satisfying local boundedness and summability assumptions. It gives sufficient conditions for the resolvent to be complet…
Unknown
This paper studies coefficient bounds for the subclass of normalized typically real functions in the unit disk that remain typically real under rotation by a factor of i, a class consisting of odd functions with real coefficients. Using an associated Carathéodory function with positive real part, de…
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This paper analyzes the deposition of aerosol particles on an infinite circular cylinder in a transverse flow under attractive electrostatic and molecular forces, with gravity, inertia, and Brownian motion neglected. Using the particle equations of motion and a stream-function formulation, it derive…
Unknown
This note studies decompositions of infinitely divisible probability laws into independent components, focusing on laws with positive finite or countable Poisson spectrum and a Gaussian component. It characterizes, in the rational bounded-spectrum case, when such a law belongs to the class of laws w…
K. I. ROZGACHEV and V. A. FABRIKANT
This paper reports a direct experimental study of stepwise excitation of mercury atoms by electron impact, motivated by the expected importance of such processes in gas discharges. Using a tube with an electron gun, controlled slow electron energies, and spectrographic and photomultiplier detection,…
Unknown
The paper establishes an a priori \(L_p\) estimate for generalized solutions of elliptic systems of order \(2m\) in a smooth bounded domain, subject to homogeneous boundary conditions up to order \(m-1\). The argument extends interior estimates to the boundary by proving a local constant coefficient…
Unknown
This paper studies projective differential geometry of n-dimensional surfaces in projective N-space that possess p-dimensional plane generators along which the tangent plane remains constant, a class generalizing developable surfaces and related to bending problems. Using moving projective frames an…
Unknown
This note studies regularity conditions for discrete-time probability processes on an abstract state space, formulated through sigma-fields generated by past, present, and future observations and through the associated Hilbert space of square-integrable functions. Using a projection lemma for decrea…
Unknown
The paper identifies a connection between Fermi field operators and spinor representations of an infinite-dimensional Euclidean space. Starting from the anticommutation relations for electron and positron creation and annihilation operators, it constructs Clifford-type generators and shows that fiel…
A. L. Liberman, T. V. Vasina, and B. A. Kazanskii
This study examines the platinum-catalyzed cyclization of 3-ethylpentane as a less highly branched paraffin expected to yield a single cyclopentane product, ethylcyclopentane. Purified 3-ethylpentane was passed over platinized charcoal at 310°C, and the resulting catalyzates were analyzed by chromat…
Unknown
This paper derives asymptotic formulas for generalized Legendre functions and Gegenbauer functions for large degree and fixed order, with attention to ranges of the argument where existing expansions are less accurate, especially near zero. The method represents solutions of the generalized Legendre…
Unknown
This paper examines the nature of catalytic action in the polymerization of vinyl compounds by complex catalysts formed from transition metal halides and metal alkyls, addressing competing interpretations as stepwise organometallic, anionic, or radical processes. The authors use copolymer compositio…
Unknown
This paper reports a determination of the nuclear spin and magnetic moment of the 5.3 year radioactive isotope europium 152 from the hyperfine structure of paramagnetic resonance in powdered strontium sulfide phosphor activated with neutron irradiated europium. The authors measured the resonance spe…
Unknown
This paper studies a special three-dimensional nonlinear differential system of Aizerman type, reducible to equations involving a scalar nonlinearity satisfying generalized Hurwitz conditions. It develops qualitative results on trajectories, intersections with the plane x = 0, boundedness, limit set…
R. M. FLID and V. A. MIRONOV
The study examines the liquid-phase hydrobromination of acetylene with hydrogen bromide in hydrobromic acid solutions of mercuric bromide, under continuous-flow stationary conditions. By varying reagent ratio, contact time, and mercuric bromide concentration, the authors determine that the reaction …
Unknown
The study examines the primary mechanism of thermal decomposition of chloroform and deuterochloroform, considering whether decomposition proceeds by radical cleavage or by molecular elimination of hydrogen chloride with formation of dichlorocarbene-like species. Experiments in a jet vacuum apparatus…
V. I. KASATOCHKIN and Z. S. SMUTKINA
This study examines the kinetics of thermal decomposition and accompanying structural changes in fossil coals, comparing vitrinitized Donets coals of different metamorphic rank with Estonian combustible shale and Olenek boghead coal. Decomposition was measured by mass loss in a nitrogen stream under…
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This note studies convergence of solutions of difference equations to solutions of corresponding differential equations in spaces of entire functions and in associated spaces of generalized functions. It develops an operator framework for constant shift-commuting operators, using characteristic func…
E. N. KARAULOVA, D. Sh. MEILANOVA, and G. D. GALPERN
This study reexamines whether allyl aryl sulfides undergo a Claisen rearrangement analogous to that of allyl aryl ethers. Allyl phenyl, allyl ortho-tolyl, and allyl para-tolyl sulfides were heated under nitrogen, and the products were characterized by distillation, elemental analysis, oxidation to s…
Unknown
This paper examines the mechanism of catalytic hydrogen oxidation on metallic palladium, focusing on whether hydrogen atoms participate directly in the surface reaction. The authors derive relationships between equilibrium and steady-state surface concentrations of adsorbed hydrogen for radical, mol…
Unknown
This note studies the distribution of completely critical cyclic fields of degree l^h, where l is a prime and h is positive, ordered by the size of their discriminants. Using group theoretic considerations, the Kronecker-Weber theorem, and properties of Dirichlet L-functions, it first describes the …
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This study examines the kinetics of physical adsorption of ethylene from mixtures with hydrogen, nitrogen, methane, and argon on industrial AG-2 activated carbon, motivated by adsorption separation of dilute hydrocarbon gases. A differential experimental method and special low-dead-volume adsorption…
N. A. Adrova, M. M. Koton, Yu. N. Panov, and F. S. Florinskii
This study examines how the chemical structure of carbo- and heterocyclic organic compounds affects their scintillation activity when incorporated into polystyrene plastics. Sixty substituted anthracenes, polyphenyls, aryl dienes, oxazole and oxadiazole derivatives, and related heterocycles were pol…
V. B. SOLLOGUB, P. Ya. GALUSHKO, A. A. VOPILKIN, and A. M. PATIOKHA
This paper examines how static load from overlying strata affects the velocity of longitudinal elastic waves in sedimentary rocks, a factor relevant to interpreting seismic measurements in boreholes. Laboratory experiments measured ultrasonic wave velocities in sandstone and limestone samples under …
Unknown
This study examines the catalytic polymerization of isobutylene using monofluorophosphoric acid, difluorophosphoric acid, and molecular compounds of fluorophosphoric or orthophosphoric acids with boron fluoride. Experiments varied catalyst composition, support material, temperature, and operating du…
G. V. SHTEINBERG and V. S. BAGOtsKII
This study examines partial passivation during cathodic reduction of chromic acid on carbon electrodes, a phenomenon relevant to stepped discharge behavior in chromic acid cells. Using potential-time measurements on rotating carbon electrodes, the authors evaluate the effects of bichromate and hydro…
S. M. Skuratov, A. A. Strepikheev, and M. P. Kozina
This study examines why five-membered oxygen-containing heterocycles and carbohydrate rings are often more reactive than corresponding six-membered compounds, using enthalpy of cyclization as a thermodynamic indicator. Heats of combustion were measured calorimetrically for tetrahydrofuran, tetrahydr…
Unknown
The paper formulates a generalized geometric extremal problem for determining the extreme intersection point of an axis with a convex polyhedron represented as a Minkowski sum of convex hulls of finite point sets. It argues that this formulation preserves the structure of applied problems better tha…
Unknown
This paper extends dispersion-relation methods in local quantum field theory to virtual vertex parts, focusing on the photoproduction block with an off-shell photon. It formulates the anti-Hermitian part of the virtual photoproduction amplitude, analyzes its energy regions under the assumption of no…
Unknown
A method is proposed for detecting compensatory downdrafts associated with developing cumulus clouds by recording temperature fluctuations and aircraft accelerations during horizontal flight near and through clouds. The argument rests on the expectation that descending compensatory currents, origina…