Corresponding Member of the Academy of Sciences of the USSR A. P. TERENT’EV, V. V. RODÉ,
This paper addresses the difficulty of determining the molecular weight of chelate polymers, which are typically insoluble, infusible solids, by exploiting labeled terminal bromide groups introduced during synthesis with copper bromide containing bromine-82. The authors calculate number-average mole…
L. N. IVANOVSKAYA, and N. A. SHURMOVSKAYA
This study examines how to compare nickel catalysts by the catalytic activity of a unit surface area of nickel rather than by total catalyst surface. The authors apply low-pressure oxygen chemisorption at room temperature to determine nickel surface area in unsupported and supported catalysts, and r…
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V. F. KUCHEROV, B. G. KOVALEV, G. A. KOGAN, and L. A. YANOVSKAYA
This paper describes a synthetic route to diethyl esters of dodecapentaene and hexadecaheptaene dicarboxylic acids, compounds related to naturally occurring polyene pigments and potential biologically active metabolites. Starting from tetraethyl acetal of maleic dialdehyde, the authors combine chain…
1. In the present note we study Ito’s stochastic equation
This note studies existence and uniqueness for multidimensional Itô stochastic integral equations with bounded coefficients that may be discontinuous on specified admissible sets, under nondegeneracy conditions on the diffusion near those sets. Using estimates on the occupation time of one-dimension…
Yu. A. Gol'fand
This paper proposes a relativistic generalization of the Schrödinger equation for two spinless particles that retains three independent variables, in contrast to the Bethe-Salpeter approach. Working in a velocity representation, it treats velocity space as a three-dimensional Lobachevsky space and d…
N. D. BALYASNYI, R. M. KOGAN, M. V. NIKIFOROV, O. S. RENNE, and Sh. D. FRIDMAN
This paper examines the use of gamma ray energy spectra measured in the near surface atmosphere for in situ radioisotope analysis of rocks and soils. Using scintillation gamma spectrometry at ground level and from aircraft, the authors derive concentrations of potassium-40, thorium decay products, a…
N. D. TOMASHOV, R. M. AL’TOVSKII, and M. Ya. KUSHNEREV
This study examines the composition and structure of passive oxide films formed on titanium during self-passivation in several room-temperature solutions and during anodic oxidation in sulfuric acid, conditions for which prior structural data were lacking. Oxide films were separated chemically and a…
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This paper develops a theory for small-amplitude oscillations in solid bodies that seeks to explain the observed weak dependence of the logarithmic damping decrement on frequency across many materials. It models non-Hookean reversible deformation as arising from thermally activated microscopic rearr…
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This note studies when the norm in an Orlicz space on a bounded set satisfies a growth property requiring the modular integral divided by the norm to tend to infinity as the norm tends to infinity. A necessary condition is derived in terms of the complementary function and its inverse, showing in pa…
A. A. GRINBERG and Yu. N. KUKUSHKIN
This study reexamines the reaction of trans-dichlorobis(ethylenediamine)platinum(IV) chloride with alkali, prompted by earlier kinetic interpretations that treated the process as hydrolysis. Using titrimetric measurements of alkali consumption, chloride ion formation, and reduced platinum at 25 degr…
S. A. Shchukarev and G. A. Semenov
This study investigates the high-temperature vapor composition and volatility of rare-earth oxides, excluding thulium, using mass spectrometry with an iridium ribbon evaporator and calibrated thermocouple. The authors estimate ion appearance potentials and correct ion-current ratios to better distin…
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This paper examines deviations from normal geothermal gradients in oil- and gas-bearing regions, arguing that lithological, tectonic, hydrogeological, and relief factors are insufficient to explain many observed thermal anomalies. Using thermal logging data from exploratory and reference wells in th…
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This paper formulates a boundary value solution for radio wave propagation around a spherical Earth modeled as three layers: a conducting Earth, an ideal atmosphere, and an ionospheric plasma in a vertical geomagnetic field. Using Maxwell’s equations and a normal wave expansion, it derives coupled r…
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This study examines how the electrical conductivity and activation energy of chelate polymers depend on atomic structure, metal ion, ligand type, and polymer-chain geometry. Forty-eight polychelates of seven structural types were synthesized mainly from metal acetates and tetrafunctional organic com…
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This note addresses the classification and analysis of unitary representations of connected nilpotent Lie groups. It constructs irreducible representations from linear functionals on the Lie algebra by inducing one-dimensional representations from maximal subordinate subalgebras, and identifies equi…

The paper examines how small stationary random disturbances affect periodic regimes in relay automatic control systems, including regimes due to forced oscillations or self-oscillation. By linearizing the relay action near the switching instants, the deviation from the periodic motion is reduced to …
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This paper develops a theoretical treatment of gamma emission and absorption by impurity nuclei in a crystal lattice, allowing the equilibrium positions and normal vibration frequencies of the lattice to depend on the nuclear state. Using an adiabatic description of the coupled nucleus, lattice, and…
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The paper studies the number of prime pairs \(p, p+2k\) lying below \(x\), with \(k\) varying up to \(x(\ln x)^{-C}\). Using I. M. Vinogradov’s method of trigonometric sums, in a form related to Chudakov’s work, it strengthens earlier almost-all results by obtaining the Hardy-Littlewood type asympto…
A. P. HVAN
This paper examines whether Shuleikin’s deep-water law for the increase of wind-wave length can be applied to shallow seas and lakes when forecasting wave development. Using the theorem of angular momentum, the author derives expressions for the averaged angular momentum and energy balance of wind w…
B. B. DAMASKIN, E. SHVARTS, and A. N. FRUMKIN
This paper examines differential capacitance curves at a dropping mercury electrode in potassium ferrocyanide solutions of varying concentration, with attention to the effect of the multicharged ferrocyanide anion on the electrical double layer. Measurements at 25 degrees C are compared with curves …
P. E. Dyubyuk
The paper studies the enumeration of subgroups of prescribed order in finite abelian p-groups, using invariant sequences describing the numbers of basis elements of each minimum order. Building on previously established formulas for the number of subgroups of a given type, it derives exact counts fo…
Kh. S. Bagdasar'yan, N. S. Izrailevich, V. A. Krongauz
This study examines whether the protective effect of phenyl groups in the radiolysis of alkylbenzenes arises from intramolecular energy migration or from intermolecular energy transfer. Radical yields were measured in gamma radiolysis of several alkylbenzenes, benzene, alkanes, and an equimolar benz…
E. FISHER and A. D. PETROV
This paper investigates high-temperature reactions of triarylsilanes with allyl chloride, chlorobenzene, and dichlorobenzene as a possible route to forming silicon carbon bonds and synthesizing tetraarylsilanes. Using reactions in a nitrogen-filled quartz tube at about 580 to 630 degrees Celsius, th…
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This study examines the comparative acidity and relative dissociation of hydroxyl groups in D-glucose, alpha- and beta-methyl glucosides, maltose, and cellobiose, addressing a lack of data on individual carbohydrate hydroxyl reactivity. The authors use electrometric nonaqueous titration in ethylened…
Corresponding Member of the USSR Academy of Sciences O. A. REUTOV and A. N. LOVTSOVA
This paper describes a synthetic method for trichloromethyl organomercury compounds based on insertion of dichlorocarbene, generated from chloroform and potassium tert-butoxide, into mercury-chlorine bonds. The reaction was applied to mercuric chloride and several aryl, naphthyl, and chlorovinyl mer…
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This note studies how far the complexity of an arbitrary irredundant disjunctive normal form can exceed that of a minimal disjunctive normal form for the same Boolean function. Using recursive constructions of Boolean functions and associated pairs of irredundant forms, it establishes lower and uppe…
A. I. Bykhovskii
This paper examines the initial nucleation of gray tin centers in white tin when particles of CdTe, InSb, Si, and Ge are introduced into the surface layer. The study uses the surface diffusion of mercury, measured through the rise of an amalgam film at low temperatures, as an indicator of the early …
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This study investigates the origin of the green band emission observed in boron-containing flames and the composition of boron combustion products near 3100 K. The authors measured absorption in the 5470 Å band during explosions of CO, oxygen, hydrogen, and argon mixtures with small diborane additio…
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The study examines the vapor phase interaction of cyclohexene with highly concentrated nitric acid at atmospheric pressure, using conditions calculated for complete oxidation and short contact times. Reaction products were condensed, separated into oil and aqueous fractions, and identified by fracti…
Zh. S. Takibaev, E. V. Shalagina, G. R. Tsadikova
This paper investigates the emission of unusually high energy helium fragments in nuclear disintegrations, a phenomenon not readily explained by evaporation, fission, or existing cascade and fluctuation models. Photographic emulsion stacks irradiated with 9 GeV protons at the Dubna synchrophasotron …
L. M. LYAMSHEV
This paper develops an approximate treatment of sound radiation from subsonic turbulent flow in the presence of aerodynamically thin elastic bodies, using the equation of sound propagation in a steady turbulent medium rather than only a generation equation. By introducing an adjoint acoustic diffrac…
Ya. S. SMETANICH
The paper studies constructive propositional calculi extended by a single-valued unary logical operation, with consistency defined by conservativity over the underlying pure propositional calculus. It introduces matrix models, exact models, submodels, and the natural model formed from equivalence cl…
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This paper studies locally finite groups under the Pi-minimality condition and related classes of locally extremal and layerwise extremal groups. It gives necessary and sufficient conditions for such groups, when countable quasifull subgroups are solvable or locally nilpotent, to satisfy Pi-minimali…
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This paper reexamines transverse propagation of high-frequency waves in a homogeneous magnetoactive plasma, focusing on narrow forbidden frequency zones predicted by nonrelativistic kinetic theory near electron gyrofrequency harmonics. By incorporating the relativistic dependence of electron mass on…
N. S. GARIF’YANOV and E. I. SEMENOVA
This note reports electron paramagnetic resonance measurements on aqueous Ti3+ complexes formed from TiF3, TiI3, and TiBr3, addressing why resonance is observed in some hydrated complexes but not in others. Solutions at two concentrations were examined at 9430 MHz and 295 K, with line widths and g f…
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This study examines thermal transformations in natural and synthetic rubbers using automatically recorded thermomechanical, or thermopenetration, curves under constant load during uniform heating. The authors describe an apparatus for recording temperature and deformation directly, then apply it to …
Unknown
This study investigates changes in the electrical resistance of several metals and Wood’s alloy under very high pressures up to 250,000 kg/cm², with the aim of identifying possible polymorphic transformations marked by abrupt resistance changes. Measurements were made at room temperature on wire spe…
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This paper investigates whether detonation in condensed liquid explosives has a nonuniform front analogous to that observed in gaseous detonations. Using end-face photographic recording, the authors examine detonation propagation in transparent nitromethane and nitromethane-acetone mixtures of varyi…
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The paper studies stability of solutions to a nonlinear integral equation in a Banach space generated by a strongly continuous evolution family. It develops auxiliary results on bounded solution subspaces, closed complements, and estimates for associated inhomogeneous linear equations, then applies …
a) the captions to Figs. 1B and 1A should be interchanged;
M. P. KOZINA, M. Yu. LUKINA, N. D. ZUBAREVA, I. L. SAFONOVA, S. M. SKURATOV, and B. A. KAZANSKII
This paper examines whether heats of combustion can provide thermochemical evidence for conjugation between a cyclopropane ring and phenyl substituents, a question relevant to debates over the bonding and anomalous properties of cyclopropane derivatives. Using bomb calorimetry, the authors determine…
V. M. KRAVCHENKO and I. S. PASTUKHOVA
This study examines phase equilibria in binary systems of thionaphthene with indene, indole, isoquinoline, 2-methylnaphthalene, 3-methylisoquinoline, and 2,6-dimethylnaphthalene, substances relevant to coal and petroleum refining products. Purified components and prepared mixtures were investigated …
Academician A. A. Grinberg and M. I. Gel’fman
This study examines the thermodynamic stability of divalent platinum tetrammine type complex ions containing ammonia, methylamine, ethylamine, or ethylenediamine ligands. Overall concentration instability constants were determined potentiometrically at constant ionic strength from platinum electrode…
M. L. Khidekel, A. L. Buchachenko,
The study examines the oxidation of beta-naphthol and selected dinaphthol derivatives by peroxide compounds, addressing uncertainty about radical intermediates in phenol and naphthol oxidation. Using electron paramagnetic resonance in organic solutions, the authors compare radicals formed from beta-…
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This paper examines possible cosmic fluxes of neutrinos and antineutrinos in free space and their implications for cosmology. It estimates contributions from primordial neutron decay, stellar nuclear reactions, and cosmic-ray interactions in galaxies, arguing that such fluxes could preserve informat…
E. I. GRINSHTEIN, A. B. BRUKER, and L. Z. SOBOROVSKII
This paper examines the oxymethylation of phosphine and methyl-substituted phosphines with paraformaldehyde under conditions that do not require hydrochloric acid or salts. The authors show that phosphine, methylphosphine, and dimethylphosphine react directly with paraformaldehyde to form trivalent …
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Thin-layer chromatography on silica gel and gypsum plates is evaluated as a rapid micromethod for identifying and separating steroid intermediates used in the synthesis of corticosteroid analogs. The study tests cyclohexane and ethyl acetate solvent systems in varying ratios and compares visualizati…
A. A. BERLIN, L. I. BOGUSLAVSKII, R. Kh. BURShTEIN, N. G. MATVEEVA, A. I. SHERLE, and N. A. SHURMOVSKAYA
This paper investigates the electrophysical properties of thin polymeric chelate films formed by reacting tetracyanoethylene vapor with metal surfaces, chiefly iron and copper, under vacuum at elevated temperatures. The films, firmly bound to the metal substrate, were characterized by microanalysis,…