V. F. LAVRUSHIN and N. N. VERKHOVOD
This study examines the halochromism of phenyl and cyclohexyl substituted carbinols by comparing their absorption spectra in concentrated sulfuric acid and, where relevant, in alcoholic solution. Triphenylcarbinol, cyclohexyldiphenylcarbinol, and dicyclohexylphenylcarbinol gave complex spectra with …
V. F. ABROSENKOVA, G. I. LOGINOV, and P. A. REBINDER
This study examines whether lime can bind with silica to form calcium hydrosilicate under ordinary conditions, contrary to the view that appreciable formation requires hydrothermal autoclave treatment. Using calcium-45 labeled calcium hydroxide, the authors measured calcium binding by sands of diffe…
V. G. Koritskii, V. V. Nalimov, V. V. Nedler, S. M. Raiskii, A. K. Rusanov, L. N. Filimonov
A. N. NESMEYANOV, R. Kh. FREIDLINA, and F. K. VELICHKO
This study investigates the synthesis and reactivity of organomercury compounds containing trichloromethyl and omega,omega-dichloroallyl groups, classes for which few or no prior examples were available. The authors prepare several mercury halides by reactions of halogenated methanes and dichloroall…
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This paper extends results of Hardy, Ingham, and Pólya on mean moduli of analytic functions in a finite strip, removing the assumption of boundary continuity. It studies classes defined by harmonic majorants of subharmonic functions and by bounded integral means, proves boundary value and factorizat…
O. V. PRUDKOVSKAYA and M. F. SHIROKOV
This paper develops a diffusion-based theory of standing striations in the positive column of a gas discharge, addressing limitations of earlier treatments that mainly yielded traveling periodicities or relied on restrictive assumptions about radial ambipolar diffusion and thermodiffusion. Starting …
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This paper defines and studies spaces of symmetric almost symplectic connection on even dimensional differentiable manifolds equipped with a nondegenerate skew-symmetric tensor. It derives the affine connection from the tensor together with a symmetric geometric object satisfying a specified transfo…
K. V. TOPCHIEVA, A. M. RAMBAEVA, and G. OPITs
This study examines aluminum oxide as a mercury-free catalyst for producing vinyl chloride by gas-phase hydrochlorination of acetylene in a flow reactor. Using purified and dried acetylene and hydrogen chloride, the authors tested the effects of hydrogen chloride pretreatment of the catalyst, reacta…
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This note proves asymptotic uniformity for the distribution of integral points on the four-dimensional sphere defined by a sum of four squares equal to an odd integer. Building on Jacobi’s formula and a refinement of Kloosterman’s method, it estimates exponential sums over the sphere and uses Fourie…
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This study examines how copper sulfate concentration affects exchange sorption by crystals of lauric, myristic, palmitic, and stearic acids, measured through pH changes associated with hydrogen ion liberation. Experiments across a broad concentration range show that, for small acid charges, hydrogen…
G. D. TANTSYREV and V. L. TAL’ROZE
This study examines how gas temperature affects the relative intensities of fragment ion lines in the molecular mass spectrum of n-heptane, especially at electron energies near fragment appearance potentials. Using an MS-1a mass spectrometer with controlled ion-source temperature, the authors measur…
V. F. PISARENKO
This paper reports experiments on single-crystal KBr subjected to strong electric fields at 300 to 450 degrees, where conductivity was found to increase sharply by factors of 100 to 1000 without the coloration or dendrite formation typical of related electrolysis phenomena. Using heated specimens wi…
M. P. Ravdel and Ya. P. Selisskii
This study examines how additions of Mn, Si, Cu, Mo, Cr, V, and W affect ordering transformations in ternary solid solutions based on Ni3Fe. Using electrical resistivity measurements, thermal expansion curves, and thermomagnetic heating and cooling data after quenching and prolonged stepwise heat tr…
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This note proves a local limit theorem for sums of integer-valued variables forming a nonhomogeneous Markov chain with countably many possible states. Under a uniform minorization condition, linear growth of the variance, bounded moments of order at least three, and an aperiodicity condition express…
K. V. TAGANTSEV and A. N. TERENIN
This study examines how adsorption of gases and vapors affects the greenish-yellow luminescence of zinc oxide. Luminescence intensity was measured under brief and continuous ultraviolet illumination in order to distinguish dark adsorption effects from light-induced changes of the surface. Water vapo…
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This paper derives an integral-form solution for a mixed initial-boundary value problem for a coupled system of two parabolic differential equations arising in heat and mass transfer. The method extends the unknown functions evenly across the coordinate axes, applies a double Fourier transform on a …
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This note estimates the coefficient for electron capture by neutral hydrogen atoms in triple collisions with hydrogen molecules, a process relevant to ionization in combustion, gas discharges, and the ionosphere. Using detailed balance, the capture coefficient for the reaction involving an electron,…
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This paper treats the linearized problem of a point explosion in a perfect gas when the initial back pressure is retained and the undisturbed density varies as a power of radius. Using Sedov’s self-similar zero-pressure solution for a special relation between the density exponent and the adiabatic i…
G. M. Panchenkov, V. D. Moiseev, and A. V. Makarov
This paper investigates the separation of boron isotopes by chemical exchange between gaseous boron trifluoride and its liquid complex with anisole. The authors test the proposed isotope-exchange reaction through a stepwise experiment and determine an equilibrium constant of about 1.013, with boron-…
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This note establishes local limit theorems for large deviations of sums of independent random variables, where the normalized deviation tends to infinity but remains \(o(\sqrt n)\). Using a systematic saddle point argument, it derives asymptotic formulas for densities in the non-identically distribu…
V. A. ANDRUNAKIEVICH
This paper develops the axiomatic theory of radicals of associative rings in the framework of Kurosh and Amitsur. It studies radicals whose radical rings are closed under ideals, introduces complementary and dual radicals, and characterizes special classes of rings that define upper radicals, includ…
A. M. KHALETSKII, V. G. PESIN, and ZHOU QIN
This study examines the oxidative behavior of piazthiole and several derivatives in order to clarify the balance of aromatic and unsaturated character in these heterocycles. Oxidation with peracetic acid mainly caused destruction of the organic molecule, whereas potassium permanganate oxidation of p…
At the present time, on the basis of the system of differential equations
The paper studies a Riemann type boundary value problem for first order elliptic systems reducible to the generalized analytic equation involving the conjugate derivative of a complex function. Using Vekua’s correspondence between regular solutions and analytic functions, together with an analogue o…
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This paper develops number-theoretic quadrature formulas for approximating multiple integrals of periodic functions over the unit cube. It constructs deterministic sampling points from fractional parts of polynomial residues modulo primes or prime squares, and proves error bounds using estimates for…
I. N. NAZAROV, S. M. MAKIN, and B. K. KRUPTSOV
This paper reports the first developed synthesis of ethoxyisoprene, 1-ethoxy-3-methylbutadiene-1,3, an alkoxydiene of interest as a potential intermediate for isoprenoid compounds. The authors prepare acetone diethyl ketal from acetone and tetraethoxysilane using phosphoric acid, condense it with vi…
G. E. Grinenko and V. I. Maksimov
This paper reports a stereochemically directed synthesis of trans-Delta4,9-steradienone-3 from a substituted cyclopentenone acetic acid precursor. The route uses selective hydrogenation, Clemmensen reduction, intramolecular acylation, reduction and hydrogenolysis of an aromatic ring, acid-catalyzed …
L. A. SAKHNOVICH
This paper studies spectral properties of Volterra integral operators and their role in inverse problems for differential equations. It gives sufficient smoothness and nondegeneracy conditions on a Volterra kernel under which the corresponding operator is linearly equivalent to the double integratio…
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This paper investigates the conformations of cis- and trans-2-methyl-1-ethylcyclohexanols, a problem not readily resolved by chemical transformations alone. Using Raman, or combinational light scattering, spectra of the pure liquids and carbon tetrachloride solutions, the authors compare hydroxyl, r…
M. M. Sushchinskiĭ, P. A. Bazhulin
The purpose of this article is to provide a summary of the principal results obtained in the works of G. S. Landsberg, his students, and his colleagues in the study of the composition and structure of matter by the method of Raman scattering of light. The review by no means claims to offer complete …
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This paper investigates the reaction of delta-2-cyclopentenyl chloride with the Iotsich reagent as a route to cyclopentane hydrocarbons, especially precursors of 1,2-dicyclopentylethane. The authors show that the reaction gives di-delta-2-cyclopentenylacetylene in 20 to 36 percent yield, together wi…
I. A. MUKHTAROV
This study investigates the microwave rotational spectrum of 1,2-fluorochloroethane, a molecule of interest because it can exist in different isomeric configurations. The spectrum was calculated in the rigid asymmetric-top approximation for varying relative orientations of the carbon-fluorine and ca…
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This paper develops a perturbation method for approximate elastoplastic solutions in ideal plasticity, expanding stresses and unknown boundaries in powers of a small parameter. For plane strain and plane stress, it derives successive conditions from the Mises and Saint-Venant yield criteria, lineari…
B. N. Gershman, V. L. Ginzburg, N. G. Denisov
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This paper reexamines the calculation of nuclear electric quadrupole moments within the shell model, using nuclear wave functions written as linear combinations of Slater determinants built from one-nucleon states with strong spin-orbit coupling. From conservation of angular momentum and isotopic sp…
M. A. Gerovich, R. I. Kaganovich, V. A. Vergelesov, and L. N. Gorokhov
This study uses an oxygen isotope tracer method to examine the mechanism of anodic oxygen evolution on platinum in concentrated perchloric acid at different anodic overvoltages. Perchloric acid labeled with oxygen-18 was electrolyzed, and the isotopic composition of evolved oxygen was measured mass …
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This paper develops a kinetic interpretation of gelation in dilute sols and suspensions by treating gels as quasicrystalline lattices of colloidal particles fixed at finite separations by molecular attraction and ionic-electrostatic repulsion. It relates shear elasticity to changes in free energy un…
L. A. Goncharskii
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This study examines how chemical bonding affects the fine structure of titanium K beta x-ray emission lines in titanium dioxide, simple and complex carbides, nitride, and hydride. The authors prepared or obtained these compounds, verified their structures by x-ray methods, and recorded spectra with …
E. N. YAKOVLEV
This paper calculates the low-temperature magnetization of a uniaxial ferrite modeled as two ferromagnetic sublattices with strong intersublattice exchange and weak anisotropic magnetic interaction. Using the Bogolyubov, Tyablikov approximate second-quantization method, the Hamiltonian is reduced to…
V. G. Fridman
One of the main objectives of the present work is to show that Newton in fact gave a different definition of mass. Although Newton was an adherent of the atomistic doctrine of the ancient Greeks and himself often expressed the view (both in his Principia and especially in his Opticks) that all bodie…
P. E. SOBOLEVSKII
This paper studies convergence of approximate methods for differential equations in Banach spaces with unbounded linear operators and bounded nonlinear terms. It establishes conditions under which solutions of equations with bounded approximating operators converge uniformly to the corresponding sol…
S. F. PASHKOVSKII
This note studies the location of extremal error, or alternation, points for polynomials of best uniform approximation to a continuous function on the interval [-1,1]. Motivated by the computational efficiency of the mesh version of the Remez method, it derives bounds for these points under the assu…
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The paper studies two classes of infinite systems of linear algebraic equations with convolution-type coefficients, drawing an analogy with integral equations on the whole line and half-line. It introduces Laurent and generalized transforms for two-sided sequences, proves convolution and analytic-co…
B. M. Krasovitskii, P. V. Moryganov, N. I. Titarenko, and
This study examines how the molecular structure of direct azo dyes affects their affinity for cellulosic cotton fiber, focusing on benzidine derivatives and corresponding para-terphenyl derivatives. The authors synthesized and purified selected dyes, measured affinity under equilibrium dyeing condit…
Kh. M. Mushtari
This paper formulates inverse boundary-value problems for the nonlinear theory of thin shallow shells. Starting from the governing equations for deflection and stress function, it distinguishes problems in which the initial shell form is sought for a prescribed final shape and loading, and problems …
S. MARKUS
This note studies uniqueness properties of real functions of several variables that are continuous in each variable, in connection with the Sierpiński and Tolstov theorem that such functions of two variables are determined by their values on an everywhere dense set. It shows by example that an analo…
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This paper develops an algebraic method for synthesizing a contact network treated as a one input, multiple output terminal network with prescribed total conductances from the input to each output. Using characteristic functions of multi-terminal networks and a system of inequalities on the variable…
I. S. Shapiro, E. I. Dolinsky, and L. D. Blokhintsev
This paper examines how measurements of negative muon capture by protons could help identify the weak non-electromagnetic interaction between muons and nucleons. Assuming polarized muons in muonic hydrogen and allowing for parity nonconservation, it derives the neutron angular distribution for the r…
I. M. Yatsunsky
Some estimates are presented below of the currently attainable accuracy in accounting for the influence of geophysical factors on the motion of a satellite, and preliminary considerations are also given concerning refinement of the field of these forces from measurements of its orbit. In calculating…
N. K. BARAMBOIM
This paper examines the kinetics of mechanical destruction of high polymers, focusing on macromolecular chain rupture under controlled mechanical action and the stabilization of resulting macroradicals in active media. Using ball-mill experiments and other apparatus under specified atmospheres and t…