D. R. ISBELL
This note proposes a natural definition of inductive dimension for proximity spaces, based on sets that free pairs of far sets, in response to Smirnov’s covering definition of proximity dimension. It proves general inequalities relating this invariant to proximity dimension and to classical inductiv…
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This study examines how halogen substitution affects the luminescence spectra and excited-state structure of anthraquinone derivatives. Using Shpolskii frozen solutions of n-paraffins at 77 K under 313 nm excitation, the authors measured fine electronic-vibrational spectra for alpha and beta fluoro,…
A. A. Balandin, O. K. Bogdanova, and A. P. Shcheglova
The study examines catalytic dehydrogenation of cyclohexanol to cyclohexanone over a mixed oxide catalyst previously applied to aliphatic alcohols. Using a flow apparatus, the authors measured hydrogen evolution and cyclohexanone formation across a range of temperatures and feed rates, determined re…
E. M. SHUSTOROVICH and M. E. DYATKINA
The paper calculates molecular orbitals and effective charge distributions for the ferricinium cation and related aromatic metal complexes, extending earlier treatments of metallocenes and dibenzenechromium systems. Using the same approximate self-consistent molecular orbital method, the authors com…
V. P. Karpov and A. S. Sokolik
This paper examines how pressure affects laminar and turbulent burning velocities, using propane-air mixtures as the main experimental case and comparing bomb measurements with prior burner and flow studies. For laminar flames, the authors argue that discrepancies at reduced pressure arise from the …
V. M. KRAVCHENKO and I. S. PASTUKHOVA
This study examines liquid, crystal phase equilibria in binary systems of 3-methylisoquinoline with benzene, naphthalene, 2-methylnaphthalene, and indole, for which little prior phase-diagram information was available. Purified components and mixtures were investigated mainly by thermal analysis wit…
D. F. DAVIDENKO
The paper develops a parameter variation approach for numerically computing determinants of matrices whose entries depend smoothly on a parameter. It derives the differential identity for the determinant, expressing its derivative as the determinant times the trace of the product of the inverse matr…
I. A. SHISHMAREV
This paper proves an a priori maximum estimate for a Dirichlet transmission problem for second order elliptic operators whose coefficients are discontinuous across an interior Lyapunov surface. The solution is assumed continuous across the interface, with a prescribed jump in conormal derivative and…
O. V. SHALAEVSKII
This note studies confidence estimation for prescribed linear functions of unknown parameters in systems of observation equations when the relative accuracies, or weights, of different groups of normally distributed observations are unknown. Using matrix least squares, Wald’s approach to the Behrens…
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This study examines how dispersed solid phases affect the gamma radiolysis of carbon tetrachloride in a water mixture, using chloride ion formation as the measure of decomposition. Mixtures of carbon tetrachloride and water were irradiated with cobalt-60 gamma rays in the presence of varying amounts…
Nitroolefins are of interest from the standpoint of their possible use for the synthesis of various products.
This paper investigates the synthesis of 1-nitropropylene from nitromethane and acetaldehyde via 1-nitropropanol, and compares two routes for converting the alcohol intermediate to the nitroolefin. Dehydration of 1-nitropropanol in the presence of phthalic anhydride gave a substantially higher yield…
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This paper examines the clock paradox for accelerated charged particles within special relativity by modeling an electron moving on the equilibrium orbit of a betatron. Using the relativistically invariant equation of motion in prescribed time-dependent magnetic and induced electric fields, it deriv…
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This study examines the addition of methyldichlorosilane and triethylsilane to acrylonitrile under conditions involving iron pentacarbonyl, nickel chloride, and related reaction media. Experiments in stainless-steel autoclaves and sealed glass ampoules showed that neither nickel chloride alone nor, …
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This note studies Dirichlet problems for several classes of second order quasilinear parabolic equations in two independent variables on curvilinear trapezoidal domains. It first proves a Hölder continuity estimate for sufficiently smooth solutions of a linear parabolic boundary value problem, then …
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This paper investigates reactions of diazomethane with monoketones and alpha-diketones of the furanidine series as a route to tetrahydropyran derivatives. It shows that 2,2,5,5-tetraalkylfuranidinediones-3,4 undergo ring expansion between the two carbonyl groups, followed by enolization and methylat…
Academician of the Academy of Sciences of the BSSR B. I. STEPANOV, A. I. SKRIGAN, A. M. SHISHKO
This paper examines whether cellulose in plant tissue is merely mechanically associated with lignin and other components or is partly chemically bound to them. The authors cooked pine woods of different ages, flax-fiber waste, and cotton cellulose in sodium deuteroxide prepared in heavy water, measu…
I. I. Chernyaev, N. S. Nikolaev, and E. G. Ippolitov
This paper reports improved methods for preparing potassium hexafluoroplatinate using chlorine trifluoride as a fluorinating agent. The authors examine fluorination of platinum with potassium bifluoride and, more effectively, the conversion of potassium hexachloroplatinate by gaseous chlorine triflu…
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The study investigates the heterogeneous isotopic exchange of acetone with water vapor in the gas phase, using tritium-labeled water to measure a reaction much slower than the previously studied exchange with hydrogen bromide. Kinetic experiments in quartz vessels, including variations in reactant p…
Yu. I. SIROTIN
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This study examines the kinetics and stereochemistry of hydrogen bromide addition to dimethyl acetylenedicarboxylate in organic acid solvents, including propionic acid, acetic acid, and an equimolar mixture of monochloroacetic and trichloroacetic acids. Kinetic measurements over varied temperatures …
R. D. Obolentsev and V. I. Dronov
This study examines the kinetics of conversion of several monocyclic sulfides and 2-ethylthiophene over an aluminosilicate catalyst, motivated by the role of organosulfur compounds in catalytic cracking of sulfur-rich petroleum. Flow reactor experiments at atmospheric pressure and elevated temperatu…
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This paper reports adsorption measurements for vapors of polar and nonpolar compounds on two synthetic crystalline molecular sieves prepared at the Grozny Petroleum Research Institute. Using adsorption and desorption isotherms for water, methanol, normal hexane, isooctane, and benzene, the study com…
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This paper examines the mechanism by which ethylene is formed during the thermal cracking of isobutylene, a system complicated by concurrent polymerization and secondary decomposition reactions. To test whether ethylene is a primary product or arises mainly from propylene, the authors cracked isobut…
A Peterson surface, i.e. a surface carrying a conical net, admits the parametrization
This note studies Peterson surfaces, defined as surfaces carrying conical nets and represented by sums of two curves in projective coordinates, with the aim of extending Lie’s theorem on translation surfaces. Using the known classification, up to collineation, of surfaces carrying two-parameter fami…
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This paper addresses the anomalously short osmium to trans chlorine distance reported for the octahedral complex ion [OsNCl5]2-, in contrast to the normal trans water distance in a related nitrido osmium complex. Using group theoretical analysis under C4v symmetry, the authors assign osmium and liga…
I. N. MININ
This paper treats the illumination produced by an isotropic point light source placed in a homogeneous absorbing medium bounded by two parallel, isotropically reflecting planes. Extending Sobolev’s transparent-medium formulation, it sets up coupled integral equations for the surface illuminations, r…
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This study examines how chemisorbed alkyl radicals affect the electrical conductivity of ZnO oxide semiconductor films and develops quantitative relations between radical concentration and conductivity. Methyl radicals produced by acetone photolysis were used to test a surface trapping model in whic…
The general equations of the kinetics of flow reactions are given in work (¹) in the form:
This paper develops a graphical method for analyzing the kinetics of homogeneous and heterogeneous catalytic reactions carried out in flow at constant pressure. By transforming the flow reaction equations, the authors show that reaction rates can be obtained directly from experimental conversion ver…
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The paper develops a method for approximating the coefficient in the Reynolds equation, and related elliptic or hyperbolic equations, so that their solutions can be reduced to solutions of a simpler equation with an effectively solvable boundary-value problem. Using a Darboux-type transformation, it…
V. S. Tsivunin and Gil’m Kamai
This paper examines halogenated derivatives of ethylvinylphosphinic acid, with emphasis on the preparation of ethyl beta-chlorovinylphosphinic acid chloride and its esters. The authors compare bromination and chlorination behavior, finding that the dibromo intermediate readily eliminates hydrogen br…
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This study examines how sulfate and halide anions affect the anodic dissolution of 0.1 M indium amalgam in indium perchlorate and perchloric acid solutions. Using radiochemical measurements combined with polarization methods at constant ionic strength, the authors isolated the true anodic current ne…
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This study examines how sorbent pore structure and surface affinity influence selective adsorption from binary vapor mixtures, including dichloroethane with ethanol, benzene with ethanol, chloroform with dioxane, and ethanol with methanol. Using equilibrium adsorption measurements on mesoporous and …
A. A. SHARSHANOV
The paper studies analytic systems of ordinary differential equations whose right-hand sides depend explicitly and periodically on the independent argument, formulated through the construction of a one-parameter family of transformations interpolating between the identity and a given periodic analyt…
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A parametric treatment is developed for the one-particle spectrum of an ideal Fermi gas in a lattice, starting from orthogonalized localized trial functions and assuming lattice-symmetric matrix elements that decrease exponentially with intersite distance. The secular problem is solved for simple cu…
I. L. KNUNYANTS, N. E. GOLUBEVA, and O. V. KILDISHEVA
This paper addresses the limited specificity and toxicity of existing mutagenic antitumor agents by proposing short peptides as carriers capable of more selective interaction with DNA in cancer cells. The authors synthesize a series of tri- and tetrapeptide derivatives bearing di-(2-chloroethyl)amin…
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This note modifies Lehmer’s variant of the Lobachevsky, Graeffe method for the numerical solution of algebraic equations by replacing Lehmer’s auxiliary symmetric functions with functions that can be computed by the same recurrence program as the transformed coefficients. It derives transformation f…
J. MUSHER and A. A. AKHREM
This paper applies high-resolution nuclear magnetic resonance spectroscopy to determine configurations and preferred conformations of 2-methyl-1-oxycyclohexylethylene oxides and several 1-oxydecalylethylene oxides. The analysis focuses on the proton spin systems of the ethylene oxide ring, distingui…
P. I. LIZORKIN
This paper studies the Dirichlet problem in a half-space for the Beltrami equation with parameter range minus one less than mu less than one, formulated through finite weighted Dirichlet energy. It proves that a solution exists and is unique precisely when the boundary trace belongs to the fractiona…
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This paper examines how initially homogeneous isotropic turbulence in a gas changes under rapid homogeneous deformation, such as passage through shock waves, nozzles, diffusers, or combustion zones. Assuming the deformation time is much shorter than the turbulence decay time, viscosity and inertial …
A. N. NESMEYANOV, A. E. BORISOV, and N. V. NOVIKOVA
This paper addresses the previously undetermined atomic refraction of trivalent and pentavalent antimony in organoantimony compounds. Using newly synthesized liquid stereoisomers of propenyl antimony compounds, the authors calculated molecular refractions by the Lorentz-Lorenz formula and derived at…
L. A. ZHARKOVA, Ya. I. GERASIMOV, T. N. REZUKHINA, and Yu. P. SIMANOV
The study investigates the equilibrium reduction of lead tungstate by hydrogen in order to derive thermodynamic characteristics of lead tungstate. Lead tungstate samples were prepared, reduced in a controlled circulation apparatus, and analyzed by weight change, hydrogen consumption, and X-ray phase…
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This note identifies a new class of linear parabolic systems with time-dependent coefficients for which the Cauchy problem satisfies Petrovskii’s correctness condition. The class is defined by grouping unknowns according to derivative weights, requiring the principal part of the associated matrix to…
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This paper examines the relationship between solar corpuscular streams and sequences of geomagnetic activity termed families of geomagnetic storms, using 1957 to 1959 International Geophysical Year magnetograms from Srednikan, Eskdalemuir, and Little America. It argues that a single stream can produ…
V. V. Goldberg
This paper continues the projective differential-geometric study of conjugate nets whose first or second axis congruences are parabolic. Using a moving projective frame adapted to the net and its Laplace transforms, it derives Pfaffian equations, expresses Darboux invariants, and formulates algebrai…
K. KORDUNYANU
This paper studies the existence of bounded solutions on the half-axis for certain nonlinear differential systems with triangular principal part and perturbation terms. Using Perron-type conditions on comparison functions associated with the diagonal derivatives, it proves uniqueness under Lipschitz…
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This paper examines convective instability in spatially inhomogeneous plasma using hydrodynamic equations rather than the more complicated collisionless kinetic formulation. For an infinitely conducting magnetohydrodynamic fluid with small-scale perturbations, it derives a stability condition involv…
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This paper develops for groups an analogue of the Baer and McCoy radical from associative ring theory, using commutators in place of multiplication. It defines prime normal divisors and prime groups, characterizes the existence of prime normal divisors by nonterminating commutator sequences, and rel…
I. K. KIKOIN and S. D. LAZAREV
This paper examines isotropic and anisotropic components of the even photomagnetic effect in single-crystal germanium, where illumination in a magnetic field produces an emf unchanged by reversal of the field. Using a phenomenological expression for the photomagnetic emf, the authors show that an ev…
M. A. Styrikovich and E. I. Nevstrueva
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This study examines how hydrostatic pressure up to 4000 kg/cm² affects the elastic properties of igneous, sedimentary, and metamorphic rock samples. Ultrasonic pulse measurements of longitudinal-wave velocities in rod and unbounded-medium conditions were used to calculate transverse-wave velocities,…