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The paper examines the structure and solution behavior of the congruently melting complex compound BeCl2·AlCl3·3(C2H5)2O, previously observed in the system of beryllium and aluminum chloride etherates. Using infrared spectroscopy of related beryllium and aluminum halide etherates, chloroaluminates, …
Among the three possible types of substitution reactions at an olefinic carbon atom:
This paper examines the mechanisms and stereochemical outcomes of electrophilic and homolytic substitution at olefinic carbon atoms, using stereoisomeric beta-chlorovinyl and omega-bromostyryl organomercury compounds. Kinetic measurements and stereochemical analyses show that bimolecular electrophil…
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This paper investigates the crystallographic location of silver ions in synthetic zeolite AgX, a material of interest because ion exchange strongly affects zeolite adsorption properties. An NaX zeolite in which 80 percent of sodium ions had been replaced by silver was examined by powder X-ray diffra…
V. P. Zakharov
S. M. BELONOSOV, M. A. ISMAILOV
L. F. Vereshchagin, S. S. Kabalkina, B. M. Shulenin
This paper reports an X-ray study of the compressibility of hexagonal selenium under hydrostatic pressure up to 15 kbar, motivated by the structural similarity between selenium and tellurium. Hexagonal selenium was prepared from amorphous selenium at high pressure and temperature, examined in a bery…
V. K. Saul'ev
The paper studies regular nonuniform finite difference schemes for parabolic equations, focusing on checkerboard arrangements that interlace explicit and implicit formulas on different subsets of grid nodes. It introduces the notion of quasi-stability as a generalization of von Neumann stability for…
L. V. Sabinin
The paper develops a framework for isoinvolutive decompositions of compact real semisimple Lie algebras, defined through triples of subalgebras fixed by commuting involutive automorphisms and related by inner conjugation. It establishes existence results for such decompositions, introduces types I, …
Academician S. L. SOBOLEV
This note studies the error of cubature formulas on a domain in n variables as a linear functional in the Sobolev factor space of functions with square integrable derivatives of order m, under the condition m greater than n/2 and exactness on polynomials of degree below m. It proves a lower bound fo…
N. N. KRASOVSKII
B. M. Levitan, I. S. Sargsyan
This note studies how solutions of a one-dimensional Dirac system on the half-axis can be continued to the negative half-axis when the coefficients are extended there. Using transformation operators, the authors express the values of the continued solution at negative points as integral linear opera…
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This paper investigates whether individual nonionized molecules with masses smaller than those of the condensing vapor can initiate condensation in a metastable supersaturated vapor. Using continuous gas-flow experiments with supersaturated dioctyl sebacate vapor, photochemically generated iron nona…
V. G. VINOKUROV
This paper studies measure spaces of continuum weight, defining their weight, subspaces, maximality, compact and bicompact approximating classes, and weak compactness. It proves that within any fixed metric structure there exists a unique maximal measure space of continuum weight, described in the h…
I. Kh. Khaibullin, N. M. Borisov
This paper reports experimental phase equilibrium diagrams for the sodium chloride, water and potassium chloride, water systems at elevated temperatures and pressures, where sparingly volatile salts dissolve in aqueous vapor and strongly affect system properties. Measurements of vapor and liquid com…
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Experiments were conducted on the condensation of aluminum vapor on glass through diaphragms in vacuum, with deposit density measured photometrically and structure examined by electron microscopy. The authors observed blurred shadow images, delayed deposit formation, reflection of aluminum species f…
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The paper studies pairs of elements in a lattice satisfying additive or multiplicative distributive identities, emphasizing when one property implies the other and when strict examples can occur. It gives criteria for an additively distributive pair to be multiplicatively distributive within a princ…
V. A. CHURIKOV
In the present paper we investigate the asymptotics of the solution of the following boundary-value problem.
This paper studies the asymptotic behavior of solutions to a boundary value problem for a second order uniformly elliptic equation in a cylindrical domain whose height is small compared with its other dimensions. After rescaling the thin coordinate, the solution is constructed as a sum of an interio…
R. G. Grebenshchikov, R. A. Pasynova
This paper reports thermochemical measurements for barium germanates, motivated by the lack of formation enthalpy data for compounds that are crystal-chemical analogs of silicates. Using solution calorimetry at 50 degrees Celsius in a nitric acid and hydrofluoric acid solvent, the authors determined…
L. V. Kirenskii, V. G. Pynko
This paper investigates the magnetic anisotropy of epitaxial cobalt films produced by thermal evaporation on heated NaCl and LiF substrates, using electron diffraction, domain structure observations, hysteresis behavior, and ferromagnetic resonance measurements. Films grown on NaCl contain both cubi…
Unknown
The paper solves an axisymmetric elasticity problem for an elastic half-space containing a point singularity of center type, representing compression or expansion, at a finite distance from a free boundary. Using an image construction to satisfy the shear boundary condition and a Hankel, Laplace tra…
A. V. Bitsadze
This paper discusses normal solvability, Noetherianity, Fredholmness, and index for elliptic boundary value problems, emphasizing the need for criteria that determine when orthogonality conditions to adjoint homogeneous solutions are also sufficient for solvability. It analyzes the Dirichlet problem…
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Negative magnetoresistance was measured in phosphorus-doped n-type silicon in the low-temperature metallic impurity conduction region, for carrier concentrations from 5 x 10^18 to 3 x 10^19 cm^-3. Using a standard potentiometric direct-current method on double-cross samples in magnetic fields up to …
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This study examines the electronic influence of 2-furyl, 2-thienyl, and 2-selenienyl radicals on the basicity of chalcone analogs, addressing contradictory reports on whether these heterocycles act as electron donors or acceptors. The authors measured protolytic equilibrium constants in sulfuric aci…
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This paper studies when metrizability is preserved under quotient mappings from metrizable spaces, using the notion of a regular mapping defined by positive metric separation of inverse images of nested neighborhoods. It proves that every continuous mapping from a metrizable space onto a metrizable …
Unknown
This paper examines the structure of 4 to 6 second microseisms, a persistent disturbance in seismological observations usually interpreted as interfering Rayleigh and Love surface waves. Using records from a temporary seismic station group in Eastern Kazakhstan, the study applies directional recepti…
V. V. BEZRUKIKH, K. I. GRINGAUZ, L. S. MUSATOV,
This paper reports preliminary measurements of solar plasma flows made by charged particle traps aboard the Zond-2 interplanetary station during early December 1964. The authors describe the integral and modulation trap instruments, their energy ranges, and the method used to estimate proton fluxes …
I. F. Bel'skii, S. N. Khar'kov, N. I. Shuykin
This study describes the synthesis of previously little-studied 3-oxa-1,5-keto alcohols through catalytic hydrogenolysis of acetates of monofurfuryl ethers of 1,2-glycols over platinized charcoal. The principal reaction cleaves the furan ring at the 1,5 C-O bond to give acetates of 5-keto-3-oxa-octa…
A. A. Karatsuba
The paper studies upper bounds for the number of integer solutions to equations of the form \(x_1^n+\cdots+x_k^n=y_1^n+\cdots+y_k^n\) with variables bounded by \(P\), a problem connected with estimates used in Waring’s problem. Using a main theorem on the number of solutions of related systems of co…
Table 1
Rare-earth formates of yttrium, lanthanum, and the lanthanoids from praseodymium to holmium, excluding promethium, were synthesized and examined to clarify relationships between composition, structure, solubility, density, and thermal behavior. X-ray analysis showed that the lanthanum to holmium for…
1.** Consider the system of linear algebraic equations
The paper addresses the instability of determining normal solutions of linear algebraic systems, especially singular or nearly singular systems, where small perturbations in the matrix or right hand side can produce widely scattered solutions. It defines the normal solution as the minimum norm solut…
A. N. Genkin, B. I. Boguslavskaya, L. S. Bresler, M. S. Nemtsov
This paper develops a gas liquid chromatographic approach for estimating thermodynamic functions of interaction between solutes and polar solvents, distinguishing solute solvent interaction from solvent self-association. The authors derive relations between chromatographic distribution coefficients,…
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The paper applies the parameter variation method to construct higher accuracy iterative formulas for numerical solutions of nonlinear integral equations. After replacing the integral equation by a finite system using an arbitrary quadrature formula, the residual is treated as a vector parameter, and…
Unknown
This paper analyzes the radiation of an initially excited two-level molecule embedded in a dilute ensemble of identical resonant unexcited molecules, where repeated absorption and emission can alter photon propagation and quench radiation. Using the Hamiltonian for the coupled molecule-field system,…
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This paper examines criteria for assessing polymer compatibility and argues that deviations of mixture properties from additive behavior, especially solution viscosity, are not reliable evidence of incompatibility. Using fractions of the same polyethylene sample as a model compatible system, the aut…
Statement of the problem.** Let
This paper studies an inverse boundary-value problem for pressure filtration: constructing the impervious underground contour of a hydraulic-engineering structure from a prescribed epure of exit velocities, with finite permeable-layer depth, given head, discharge, and filtration coefficient. Using t…
Corresponding Member of the Academy of Sciences of the USSR N. S. Nametkin, V. M. Vdovin,
The study examines the polymerization of 3,4-benzo-1,1-dimethylsilacyclopentane through cleavage of the silicon carbon bond in the heterocycle. Polymerization with aluminum chloride at 50 to 100°C gave viscous low molecular weight oils, while metallic potassium in tetrahydrofuran at about minus 100°…
I. S. Shklovskii
This paper examines whether the 15th magnitude F-type star near the physical center of the Crab Nebula is merely a foreground object or is genetically connected with the Supernova of 1054. Shklovsky argues from positional probability, spectral type, distance considerations, and the star’s unusually …
Corresponding Member of the Academy of Sciences of the USSR N. G. Basov, É. M. Belenov, V. S. Letokhov
This paper examines diffraction synchronization in optical quantum generators, motivated by semiconductor laser configurations with emitting mirrors divided into isolated elements to suppress parasitic in-plane generation. For two adjacent plane-mirror resonators, the authors calculate diffraction c…
R. A. Aleksandryan
This note studies generalized eigenfunctions of the homogeneous Dirichlet problem for the string vibration equation in a domain with piecewise smooth boundary, viewed through the self-adjoint operator associated with the problem. Using boundary automorphisms generated by characteristic directions an…
Unknown
This paper examines the existence and use of a characteristic temperature in suspensions, at which the density and adiabatic compressibility contrasts between suspended particles and the continuous liquid become small and the ultrasonic velocity becomes nearly independent of particle concentration. …

This study examines the photochemical reduction of hydrogenated tetraphenylporphin derivatives, primarily tetraphenylchlorin and tetraphenylbacteriochlorin, in pyridine solutions with hydrazine, and compares the behavior of tetraphenylchlorin with hydrogen sulfide. Visible and infrared absorption sp…
1.** In the present paper the following problem is considered:
This paper studies boundary value problems for two-component second order elliptic systems with constant real matrix coefficients in a bounded simply connected plane domain, under a first order linear boundary condition that may fail the Lopatinskii condition. Using representations of solutions by a…
Academician S. I. VOL’FKOVICH, R. G. AZIEV
This study examines whether calcium phosphate can be thermally dissociated in the presence of silica to obtain phosphorus pentoxide directly, avoiding reduction to elemental phosphorus and subsequent oxidation. The authors combine thermodynamic calculations for several calcium phosphate and apatite …
N. K. Kochetkov, O. S. Chizhov, B. M. Zolotarev
This study examines the electron-impact mass spectra of three methylated methyl deoxyhexosides, bearing deoxy substitution at the 2, 3, or 4 position, in order to clarify fragmentation behavior and assess analytical differentiation of deoxy sugars. The compounds were synthesized, checked for homogen…
Unknown
This paper studies reflexivity in Banach spaces constructed from partially ordered KB-spaces by means of N-functions, extending classical results on reflexive Orlicz spaces. It first establishes characterizations of N-functions whose complementary functions also satisfy the Delta 2 condition, showin…
V. V. Sychev, V. B. Zenkevich, V. V. Andrianov
This paper investigates how the inductance of a superconducting solenoid should be defined and measured when its winding carries direct current and is subject to changing magnetic flux. Experiments on a niobium zirconium solenoid compared small-signal alternating-current measurements, giving a dynam…
Unknown
This study examines how the composition of neodymium-activated silicate and germanate glasses affects their absorption spectra and luminescence lifetimes, with attention to the ratio of glass-forming oxides to alkali modifiers and to neodymium concentration. Simple binary systems based on sodium sil…
B. L. Kashcheev, V. N. Lebedinets, M. F. Lagutin
This paper analyzes the motion of small meteoroid bodies using a year-long radar survey conducted at Kharkov Polytechnic Institute in 1959 to 1960, which yielded 12,500 computed orbits for meteors brighter than about magnitude +7. The authors correct the measured orbital distributions for radar obse…