B. D. SUMM, Yu. V. GORYUNOV, N. V. PERTSOV, E. D. SHCHUKIN
This paper investigates crack initiation and growth in bent technical zinc plates under local application of small mercury droplets, as a case of strength loss caused by a liquid surface-active metal. Experiments measured crack length and growth kinetics for varying mercury mass, plate thickness, an…
V. G. SOLOV'EV
This paper examines beta decay in strongly deformed nuclei within the superconducting, or superfluid, nuclear model based on quasiparticle pairing correlations. It formulates general rules for calculating rearrangement corrections to beta-transition probabilities when the superconducting properties …
Yu. G. MAMEDALIEV and R. S. ALIMARDANOV
This study examines the alkylation of para-dichlorobenzene, para-chlorobromobenzene, and para-dibromobenzene with propylene in the presence of sulfuric acid, focusing on orientation and substituent effects in para-disubstituted benzene rings. The authors compare reaction conditions and yields for mo…
Yu. P. EGOROV and E. D. LUBUZH
This study examines the use of infrared absorption in the C-H stretching region, 2800 to 3000 cm-1, for determining the numbers of methyl and methylene groups in alkanes and in hydrocarbons or derivatives containing aromatic rings, silicon, oxygen, carbonyl groups, or halogens. Spectra of dilute car…
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The paper constructs and analyzes an iterative method for solving finite-difference systems that approximate self-adjoint elliptic boundary value problems of order 2m on a square. It first establishes that the chosen difference approximation preserves self-adjointness and positivity, then compares t…
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This note studies spectral densities of stationary Gaussian processes under two dependence weakening conditions: strong mixing and a stronger conditional probability condition. It shows that the latter condition is equivalent to eventual independence of the past and future sigma algebras, yielding a…
Yu. A. Brudnyi and I. E. Gopengauz
The paper studies how smoothness classes defined by moduli of smoothness can be characterized through local piecewise-polynomial approximation, addressing gaps between direct and inverse theorems for global algebraic or trigonometric approximation. It constructs linear local interpolation processes …
L. I. RONKIN
This note characterizes continuous linear functionals on the space of functions analytic in a complete semicircular domain in two complex variables. Using Hartogs expansions and a reduction to finitely many bicylinders, it shows that any such functional can be represented as a series of contour inte…
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The paper studies nonstationary wave propagation in an inhomogeneous half-space with depth-dependent velocity, focusing on the formation of a geometrical shadow region and the behavior of the sliding wave front. Using the method of separating the nonanalytic part, the solution is represented by inte…
V. L. ERMOLAEV
This study examines the quenching spheres associated with nonradiative transfer of electronic excitation energy between triplet levels in sensitized phosphorescence of organic compounds in frozen solid solutions. Luminescence intensities and spectra were measured for numerous donor and acceptor pair…
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This study examines how the phase state of ammonia affects hydrazine formation under cobalt-60 gamma irradiation, with particular attention to differences between liquid and solid ammonia at nearby temperatures. Hydrazine yields were measured colorimetrically over varied temperatures, doses, and rad…
G. I. YURZHENKO and M. A. DIKII
This study examines the liquid phase autoxidation of alkyl and halogen derivatives of 1,1-diphenylethane and isopropylbenzene, with attention to how aryl, alkyl, and halogen substituents affect hydroperoxide formation. The authors synthesized and purified selected hydrocarbons and para-substituted d…
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This paper compares experimental profiles of the hydrogen H-alpha and H-beta lines in arc plasma and shock-tube plasmas with theoretical contours calculated by the Griem, Kolb, and Shen theory, which includes combined ion and electron broadening. The authors use line profiles recorded in a carbon ar…
R. B. GOLUBTSOVA
This study examines the intermetallic compound formed in titanium silicon alloys containing 0.25 to 7.5 wt.% silicon, with the aim of isolating and identifying titanium silicide phases in low silicon titanium alloys. The work uses anodic dissolution in methanol based sulfuric acid electrolytes conta…
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This note treats the remaining binary case in the additive problem of representing integers as sums of squares of prime numbers. Using a sieve argument together with the prime number theorem in arithmetic progressions, it derives an asymptotic formula for the number of integers up to x representable…
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This paper develops the method of indexials for studying subgroups of finite groups, extending earlier existence theorems in this area. It introduces regular indexials, extensions of indexials, and a measure of solvability, then relates these notions to the structure and solvability measure of corre…
A. V. FOKIN, A. A. SKLADNEV, and I. L. KNUNYANTS
This study examines the addition of hydrogen sulfide to fluoroolefins, motivated by the expected radical reactivity of electron-deficient fluorinated double bonds. Tetrafluoroethylene and trifluorochloroethylene were reacted with hydrogen sulfide under ultraviolet irradiation, with acetone as sensit…
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This note studies Chebyshev sets in Banach spaces, focusing on when uniqueness of nearest points implies stronger geometric structure. Using a fixed point argument based on Schauder’s principle, it proves that every boundedly compact Chebyshev set in an arbitrary Banach space is a sun. It then shows…
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The paper estimates the velocity, mass, and energy of the Tunguska body by comparing meteor-physics trajectory calculations with inferred blast destruction energy of about 10^23 ergs. It argues that the initial mass likely lay near 10^6 to 10^7 tons, with a probable final velocity near 30 km/s and f…
V. G. Maz'ya
This note develops criteria for embedding first order Sobolev type spaces on arbitrary open subsets of Euclidean space into spaces of continuous functions, using the notion of p-conductivity and p-capacity of conductors. After defining conductivity and establishing basic variational, monotonicity, a…
P. V. Kozlov, O. P. Kozmina, Wang Nai-chan,
This study examines whether cellulose tribenzoate, unlike cellulose in the condensed phase, can satisfy the structural and mobility conditions required for polymer crystallization. High molecular cellulose tribenzoate was synthesized by benzoylation of purified cotton linters, characterized chemical…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, G. G. PETUKHOV,
The study examines the photochemical and thermal decomposition of diphenylmercury in the nonaromatic solvents cyclohexane and cyclohexene, comparing the products formed under vacuum and in air. Product analysis by infrared spectroscopy and isotope dilution, including experiments with carbon 14 label…
A. D. TALANTSEV
The paper develops an algebraic framework for potential-pulse objects, understood as two-state logical objects whose time behavior includes stable potentials, impulses, and transitions. It defines a six-symbol alphabet for potential-pulse logical variables, formulates local temporal rules, and intro…
B. N. VASIL’EV, Yu. K. VORON’KO, S. L. MANDEL’SHTAM,
This paper reports preliminary measurements of solar X-radiation at wavelengths shorter than 10 angstrom using instruments flown on geophysical rockets in 1959 and on the second and third Soviet spacecraft in 1960. Geiger photon counters with mica or beryllium windows, control counters, magnetic shi…
A. N. Rodionov, T. V. Talalaeva, D. N. Shigorin
This study examines the structure of complexes formed between organolithium compounds and simple ethers using infrared absorption spectroscopy in the 2000 to 650 cm-1 region. By comparing spectra of several aliphatic and aromatic organolithium compounds in different ethers, the authors assign charac…
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This paper examines the penetration of a prescribed, axially symmetric surface pressure into a compressible liquid under an isentropic polytropic equation of state. Treating the resulting elementary disturbances as approximate Riemann waves for moderate pressures, it derives envelope equations for c…
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This study reexamines the aluminum-boron phase diagram, addressing contradictions in earlier reports on eutectic behavior, peritectic reactions, and the stability of aluminum boride phases. Alloys prepared from high-purity aluminum and boron were investigated by high-temperature contactless thermal …
P. I. SANIN, V. V. SHER, L. F. CHERNYAVSKAYA, and N. V. MELENT’EVA
This study examines metal dialkyldithiophosphates as antioxidant additives for hydrocarbons in lubricating oils, comparing barium and zinc salts with varied alkyl radical structures. The authors synthesized several additives and evaluated their effect on oxidation of paraffin-naphthenic hydrocarbons…
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The paper formulates new minimax extremal problems motivated by mathematical cartography, where one seeks boundary or initial conditions for partial differential equations that make a selected unknown function deviate as little as possible from zero in a prescribed domain. After contrasting variatio…
D. L. BERMAN
This note studies extremal norm problems for linear polynomial operators on the space of continuous periodic functions, especially operators that reproduce derivatives or prescribed convolutions on trigonometric polynomials of bounded order. It determines the exact minimal norm for operators reprodu…
V. K. KUSKOV and G. F. BEBIKH
A method is described for preparing oxyarylphosphinic acids by phosphorylating phenyl and cresyl esters of silicic or boric acid with phosphorus pentasulfide, followed by hydrolysis. The approach is presented as an alternative to substitution routes from amino, halo, or methoxy arylphosphinic acids,…
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This study examines the addition of thiourea, and in selected cases selenourea, to unsaturated electrophilic reagents under acidic conditions, a reaction area previously uncertain for thiourea. Thiourea was reacted with acrylic, methacrylic, maleic, fumaric, and propiolic acid derivatives, and selen…
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This note studies separatrices of plane dynamical systems with continuous right hand sides, uniqueness of solutions, and isolated finite singular points, using the one point compactification of the plane. It reformulates Markus’s notion of a separatrix in terms of nonordinary semitrajectories, orbit…
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This paper generalizes spectral line growth curves from homogeneous absorbing layers to inhomogeneous high-temperature plasmas described by the Bartels and Cowan-Dieke source models. It formulates reabsorption and deviation functions for Voigt line profiles, presents numerical values for the Cowan-D…
A. A. GOL'DBERG
This paper studies value distribution of meromorphic functions whose zeros and poles are separated by angular sectors, using Nevanlinna-theoretic quantities measuring the combined deficiency of zeros and poles. It proves that such angular separation forces a positive lower bound for the deficiency u…
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This paper investigates spontaneous triple fission of curium-242, specifically events accompanied by emission of a long-range alpha particle, and compares the phenomenon with previously studied neutron-induced fission of uranium and plutonium isotopes. The authors used a photographic-plate method wi…
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This paper studies bases of Boolean functions under Post’s completeness criterion, focusing on “simple bases,” in which no member can be replaced after identification of variables by functions of fewer variables while preserving completeness. It first observes that the total number of bases is infin…
S. A. SAFAROV, M. A. PROSKURNIN, and B. F. BOGATIKOV
This paper investigates the radiation chemical synthesis of new heterocyclic derivatives in dilute aqueous systems, focusing on thiophene and furan under cobalt 60 gamma irradiation. The authors irradiate nitrogen purged thiophene water and furan water mixtures, measure precipitate formation, hydrog…
S. A. SAFAROV, A. I. CHERNOVA, and M. A. PROSKURNIN
This study examines the gamma radiolysis of oxygen-saturated aqueous thiophene solutions as a possible route to oxythiophene compounds that are difficult to obtain by conventional oxidation. Using colorimetric coupling reactions and ultraviolet spectrophotometry, the authors identify thienol as a pr…
G. V. ISAGULYANTS, A. A. BALANDIN, and E. I. POPOV
This paper examines the determination of relative adsorption coefficients for mixtures by applying an isotope dilution method to ethyl alcohol and ether adsorbed on active aluminum oxide. In flow experiments at 120 degrees C, mixtures containing carbon 14 labeled components were passed over the cata…
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This paper addresses the synthesis of previously undescribed 1-aminoindanone-3 derivatives, focusing on compounds expected to be more stable when disubstituted at the 2 position. The authors reduce hydrochlorides of 2,2-disubstituted 1-iminoindanones-3 with zinc in acetic acid to obtain 1-amino-2-me…
M. G. SHUR
This paper extends Volkonskii’s correspondence between homogeneous additive functionals of Markov processes and excessive functions. For a standard homogeneous Markov process, it introduces a regularity condition on bounded measurable excessive functions, formulated through convergence along monoton…
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This paper reports measurements of neutron induced two neutron emission cross sections for carbon 12, nitrogen 14, oxygen 16, and fluorine 19 in the approximate energy range 10 to 35 MeV, motivated by the limited data for light nuclei and their use as threshold neutron detectors. Neutrons were produ…
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This study examines the composition and structure of the intermetallic compound formed in titanium, chromium alloys, addressing conflicting reports that assigned it either TiCr2 or Ti2Cr3. Alloys containing 1.0 to 80 wt.% chromium were prepared, heat treated, and subjected to directed anodic dissolu…
Academician of the Academy of Sciences of the Armenian SSR M. M. DZHRBASHYAN
The paper introduces the notion of a unitary pair of bounded linear operators in a Hilbert space as a generalization of a unitary operator, characterized by relations involving one operator, its adjoint, and a completing second operator. It establishes elementary structural properties of such pairs,…
V. N. Kublanovskaya
This paper presents several iterative algorithms for the complete eigenvalue problem for real nonsingular matrices with eigenvalues of distinct moduli. The methods construct sequences of triangular matrices by multiplying auxiliary matrices by orthogonal transformations, yielding convergence estimat…
Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA, E. M. BRAJNINA,
This paper describes the synthesis of mixed chelate-like cyclopentadienyl compounds of zirconium, a class not previously reported for zirconium compounds containing a single cyclopentadienyl group together with chelating ligands. The authors prepare monochloro diacetylacetonatocyclopentadienylzircon…
F. A. KUZNETSOV, V. I. BELYI, T. N. REZUKHINA
The study determines thermodynamic properties of cerium oxides across the composition range CeO2 to CeO1.5 in order to characterize the cerium oxygen system more completely. Electromotive force measurements with a solid electrolyte were combined with hydrogen reduction equilibrium measurements to ca…
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This paper analyzes the error behavior of a three-dimensional inertial navigation system using three accelerometers on a gyroscopic stabilizer and three channels for autocompensation of gravitational acceleration. It derives the system equations in an inertial ecliptic coordinate frame, linearizes t…
E. P. KAPLAN, Z. I. KAZAKOVA, and A. D. PETROV
The study examines the position at which lithium adds to biphenyl, a question relevant to assigning structures of alkylated dihydrobiphenyl derivatives obtained from dilithium dihydrobiphenyl. Two experimental approaches were tested: oxidation of dihydrobiphenyl with selenium dioxide and reaction of…