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The paper studies the construction of topologically reflexive KB-spaces within the framework of semi-ordered spaces, starting from an arbitrary KB-space and its maximal extension. It defines spaces \(X_p\) by requiring the p-th power of the modulus to belong to the original space, proves that these …
Unknown
This paper reports an experimental investigation of the stability of plane shock waves in condensed media and compares the development of imposed sinusoidal front perturbations with linear calculations for an ideal fluid. Using profiled disks, wedges, and optical streak recording, the authors measur…
Academician A. N. NESMEYANOV, K. N. ANISIMOV, N. E. KOLOBOVA,
This paper reports the synthesis and characterization of mixed bimetallic organometallic derivatives of rhenium carbonyl prepared by reacting sodium rheniumpentacarbonyl with organotin, organolead, organobismuth, and cyclopentadienylirondicarbonyl chlorides. The resulting crystalline compounds were …
G. PASCAL
This paper develops a method for determining the hydrodynamic friction coefficient in gas main pipelines without interrupting pipeline operation. Starting from previously derived transient pressure relations for valve closure, it shows that, under constant terminal flow rate and constant supply pres…
Unknown
The paper studies limit functions of uniformly convergent sequences of linear aggregates built from an entire function and its generalized derivative structure, extending earlier results for exponential systems and related functions. For entire functions defined by coefficients involving an auxiliar…
Unknown
The paper studies the distribution of values of an irreducible monic polynomial with integer rational coefficients whose prime divisors are all at most a parameter z. It reduces the problem to factorization of linear factors in the normal algebraic number field generated by the polynomial and combin…
M. E. CHUMAKIN
The paper studies spectral functions and generalized resolvents of closed isometric operators in Hilbert space, extending ideas previously developed for symmetric and Hermitian operators. It gives intrinsic necessary and sufficient conditions for a family of bounded operators to be the generalized r…
Unknown
This study examines how temperature affects the long-term adhesive strength and failure kinetics of low-density polyethylene bonded to steel. Using a thermostated apparatus that tested multiple specimens under different loads and temperatures, the authors measured time to adhesive failure for stabil…
A. M. BRODSKII, K. P. LAVROVSKII, V. B. TITOV, A. Kh. EGLIT
Radiation thermal transformations of liquid normal alkanes were investigated using n-tetratriacontane irradiated in a reactor at 150 to 380 degrees Celsius, with gas chromatographic and spectroscopic analysis of gaseous, liquid, and polymeric products. The study measures radiation chemical yields of…
Unknown
The paper investigates photoconductivity in high-resistivity p-type silicon under large light fluxes, where recombination beyond the Shockley-Read trap mechanism may become significant. It develops and applies a piecewise description of the dependence of photoconductivity on light intensity, combini…
I. V. Ryabchikov, M. S. Khrushchev, Yu. S. Maksimov, A. V. Gorokh,
This study examines the conditions under which silicon forms during the carbothermic reduction of silica, addressing contradictory interpretations based largely on indirect evidence. Mixtures of chemically pure silica and graphite at several silica to carbon ratios were heated in graphite crucibles …
L. V. ZHIZHIASHVILI
This note studies conjugate functions of two variables and the summability behavior of the corresponding double conjugate trigonometric series. It addresses whether one dimensional results of Riesz, Zygmund, Kinukawa, Turán, and Marcinkiewicz and Zygmund extend to multiple Fourier series, using coun…
G. M. BARTENEV, Yu. V. ZELENEV
This paper examines low-temperature relaxation processes in rubber-like polymers and relates mechanical and dielectric loss maxima to molecular mobility, polymer polarity, cross-linking, and supramolecular ordering. Natural and synthetic rubbers and their sulfur, thermal, and radiation vulcanizates …
Unknown
This paper studies properties of tau-polynomials, defined as functionals on a space of piecewise continuous trajectories whose sufficiently high tau-derivative vanishes. It develops a decomposition of polynomial densities into simple and degenerate parts relative to a fixed trajectory, leading to a …
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This study examines the composition and chemical nature of sapropelic acids isolated from the Olera sapropel deposit after removal of higher plant fragments. The authors fractionated sapropelic and fulvic acids using acid extraction, solvents, alkali, ion exchange, hydrolysis, chromatography, oxidat…
S. D. SOKOLOV, N. K. KOCHETKOV
This paper reports a new reaction of the isoxazole nucleus discovered during chlorination with hydrochloric acid and hydrogen peroxide in acetic acid. Whereas equimolar reagent amounts give ordinary 4-chloroisoxazoles, excess reagent leads to addition of the elements of hypochlorous acid to substitu…
F. I. Fedorov
This paper develops a general approximate method for determining plane elastic waves in homogeneous crystals, where the exact problem normally requires solving a full cubic characteristic equation for each propagation direction. The method represents the elastic wave tensor as an isotropic part plus…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, V. N. LATYAEVA,
This paper examines whether replacing aryl groups with alkyl groups changes the decomposition behavior of bis(cyclopentadienyl)titanium derivatives. Thermal decomposition of bis(cyclopentadienyl)diphenyltitanium and bis(cyclopentadienyl)dimethyltitanium was studied in n-hexane and tetrahydrofuran, u…
G. V. Davydova, N. N. Shorygina
This paper examines the conversion of trimethyl ethers of 1,6-anhydro-D-aldohexoses into phenolic products under the action of metallic sodium in liquid ammonia, a reaction previously observed for several stereoisomeric sugars. The authors compare the behavior of levoglucosan ethers, quantify methan…
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The paper studies the growth and asymptotic distribution of eigenvalues of a linear integral equation on the unit interval under different regularity assumptions on the kernel. For kernels analytic in the second variable in a domain touching the endpoints and satisfying prescribed endpoint growth bo…
Unknown
This paper examines the frequent asymmetry of mutual limiting solubility in binary metallic systems, especially those involving transition metals and more electronegative elements such as aluminum, tin, beryllium, and metalloids. Using published phase diagram data, it compares solubilities at the so…
Unknown
The study determines the solubility of lithium sulfate in water between 248 and 388°C at pressures up to about 1000 kg/cm², extending prior measurements near saturated vapor pressures to higher pressure conditions. Using a mercury autoclave method based on pressure decrease during dissolution of cry…
S. I. GARAN, V. I. MAIMIND, Full Member of the USSR Academy of Medical Sciences S. R. MARDASHEV
This paper reports the synthesis and characterization of N-carbamylhomoserine derivatives considered as structural analogs of N-carbamylaspartic acid, an early metabolite in pyrimidine base biosynthesis. The sodium salt of carbamylhomoserine was obtained in high yield by reacting homoserine with sod…
Unknown
This paper studies homotopy groups of spaces of smooth embeddings of the circle into spheres and Euclidean balls, extending the usual classification problem from path components to higher homotopy groups. Using fibrations defined by fixing a tangent vector, polygonal models for embedded arcs, spectr…
Corresponding Member of the Academy of Sciences of the USSR I. M. GELFAND, M. I. GRAEV,
This paper studies unitary representations of adele groups associated with linear algebraic groups over number fields, with particular emphasis on the action of an adele group on functions on the quotient by the principal adele subgroup. It constructs irreducible representations as restricted tensor…
G. G. DVORYANTSEVA, Yu. N. SHEINKER, L. P. YUR’EVA,
V. V. PETROV
V. F. Grishchenko
Electrolysis of an equimolar lithium and potassium carbonate melt was investigated at 580 to 600 °C using platinum and gold electrodes to clarify cathodic and anodic processes in molten carbonates. The experiments showed that the only cathodic product was a dense powdery carbon deposit with a curren…
Unknown
This paper reports the synthesis of 1,3-disubstituted 5,6,7,8-tetrahydroisochromylium salts from beta,gamma-unsaturated ketones obtained by crotonic condensation of cyclohexanone with acetone, acetophenone, 2-acetothienone, and 2-methyl-5-acetylfuran. Acylation with acid anhydrides in the presence o…
Unknown
The paper applies Krein’s method of directing functionals to pairs consisting of a closed symmetric operator with a finite system of directing functionals and a bounded operator that precommutes with it. It proves the existence of a self-adjoint extension of the symmetric operator and a norm-preserv…
Unknown
The paper studies the geometric and spectral structure of the closed one-dimensional Schrödinger operator on the line with continuous complex-valued periodic potential. Using the family of operators with quasiperiodic boundary conditions on one period, it identifies the spectrum as the union of thei…
Unknown
The paper develops a theory for electromagnetic coupling between two cavities through a narrow slot when the slot is not assumed exponentially narrow, retaining both logarithmic and order-one terms in the kernel of the slot integral equation. It reduces the vector integral equation to a one-dimensio…
Unknown
This paper reports early direct measurements of deep turbulent exchange in the Atlantic Ocean using an autonomous deep-water turbulimeter developed to record fluctuations of current velocity and temperature without a cable connection to the ship. Observations made during the 11th cruise of the resea…
B. A. ARBUZOV, A. O. VIZEL’
This paper reports the addition of phosphorus trihalides, especially phosphorus tribromide, to conjugated dienes as a route to cyclic trihalophosphoranes, a class of organophosphorus compounds previously difficult to isolate. The authors describe moisture-excluding procedures, including gradual solv…
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This paper examines whether part of the anhydroglucose residues in cellulose can exist with pyranose rings opened at the 1,5 bond, a possibility suggested by the presence of oxidized groups and by prior observations on carbohydrate reactions in acidic media. Hydrate cellulose samples were acid treat…
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This paper examines emulsion polycondensation as a distinct mode of polymer synthesis in which the polymer-forming reaction occurs within the bulk of one emulsion phase rather than at the phase boundary. Using the synthesis of poly-metaphenylene isophthalamide from metaphenylenediamine and isophthal…
V. A. KARGIN, T. I. SOGOLOVA, T. K. SHAPOSHNIKOVA
This paper examines whether the supramolecular structure of crystallizing polymers can be regulated by introducing artificial crystallization nuclei. Using polypropylene as the main example, small amounts of high melting, insoluble organic substances or crystalline polymers were dispersed in the pol…
Unknown
The paper studies commutative Banach algebras with one-dimensional radical annihilated by the whole algebra, focusing on the classification of algebraically decomposable cases with a prescribed semisimple quotient algebra. It introduces functionals on a space generated by products in the quotient al…
A. V. Nikolaev
The paper examines regularities of component separation in liquid extraction systems by analyzing extraction rays and proposing separation diagrams based on the separation coefficient rather than only distribution coefficients. Using data from nine studied systems, chiefly nitrate systems with tribu…
V. I. Berezin
This paper examines whether vibrational influence coefficients, derived from semiempirical force constants, can be correlated with electronic structure and aromaticity in benzene, cyclohexane, pyridine, and related six-membered azacycles. By inverting published force-constant matrices, the study com…
Unknown
This note examines Kleene’s notion of realizability for logico-arithmetical formulas from a mathematical rather than semantic standpoint, focusing on how realizations are recorded. It defines a parallel notion of completion, structurally identical to realizability except that every completion has th…
Unknown
This paper examines how dielectric permittivity and the chemical nature of solvents influence the thermodynamic properties of sodium iodide solutions. Integral heats of solution at 25 degrees C are compared for water, methanol, acetone, and dioxane, water mixtures adjusted to match the dielectric pe…
Unknown
Low-temperature luminescence spectra of certain GaP crystals are examined, with attention to a previously undescribed set of regularly converging narrow lines superposed on known bound-exciton and edge-emission features. The authors analyze the temperature behavior, doublet structure, absence of cor…
Unknown
The paper studies the complexity of local algorithms for deciding extremal properties of elements in finite sets, with examples from reduced disjunctive normal forms of Boolean functions and paths in graphs. It formalizes two parameters for such algorithms, an index measuring the order of the neighb…
G. K. BORESKOV, V. B. KAZANSKII, Yu. A. MISHCHENKO, G. B. PARIISKII
This study examines the active centers responsible for hydrogen adsorption and isotopic hydrogen exchange on gamma irradiated silica gel. Silica gels with varying impurity contents were irradiated and analyzed by catalytic measurements, hydrogen adsorption, optical absorption, and EPR spectroscopy. …
K. I. Gringauz, Sh. Sh. Dolginov, V. V. Bezrukikh, E. G. Eroshenko, L. N. Zhuzgov, L. S. Musatov, E. K. Solomatina, U. V. Fastovskii
This paper reports preliminary Elektron-2 satellite observations comparing magnetic-field measurements, charged-particle trap currents, and ground-based geomagnetic activity indices at distances of about 6 to 11.6 Earth radii within the magnetosphere. The authors analyze intervals of quiet, disturbe…
Unknown
This paper develops a semi-momentless formulation for determining the thickness and internal forces of orthotropic cylindrical plastic shells under prescribed loading. By neglecting longitudinal bending and twisting moments, the yield condition is expressed in terms of longitudinal force, shear forc…
A. N. FRUMKIN, V. A. KUZNETSOV, R. I. KAGANOVICH
This study compares the adsorption of trifluoroacetic, perfluoropropionic, and perfluorobutyric acids at solution, air and solution, mercury interfaces. Electrocapillary curves, surface tension measurements, and potential difference measurements were used to evaluate interfacial activity, shifts of …
B. G. Dzantiyev, A. P. Shvedchikov, B. V. Borshchagovskii
This communication investigates whether excited ethyl radicals are formed when hot hydrogen atoms add to ethylene and how their reactivity differs from that of thermal ethyl radicals. Hydrogen iodide, ethylene mixtures were photolyzed under ultraviolet irradiation to generate nonequilibrium hydrogen…
Unknown
This paper examines the long-standing distinction between two gelatin modifications, alpha and beta, interpreted in terms of molecular conformation. Using films prepared from photographic gelatin under different drying temperatures, the author compares swelling kinetics, density, dimensional changes…