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The paper studies the equivalence between rectifiability of webs and nomographic representability of functions of several variables by nomograms of aligned points. It formulates a web through an equation z equals phi of n variables and gives necessary and sufficient conditions for rectifiability in …
Let us consider the motion of a piston that moves according to the law
The paper analyzes gas motion behind a slightly asymmetric cylindrical or axisymmetric piston moving with constant speed in a gas initially at rest. It reformulates the gas-dynamic equations in coordinates adapted to the piston shape, introduces similarity variables, and treats the asymmetry as a sm…
E. E. NIKITIN
This paper develops a theoretical description of bimolecular preassociation in polyatomic molecules, emphasizing the role of intramolecular vibrational energy redistribution after formation of a transient quasimolecular complex. Using nonstationary perturbation theory, the decay probability of an in…
Unknown
This paper extends the notion of Rozet nets from three-dimensional projective space to generalized conjugate nets in projective N-space and studies the Laplace sequences generated by them. Using a moving projective frame, Pfaffian systems, exterior differentiation, and prolongation, it derives the c…
Unknown
This study examines whether mineral formation during firing in the CaO, Al2O3, SiO2 system can be deliberately redirected to favor the more active cement clinker phases C5A3 and C3S instead of C3A and C2S. The authors fired synthesized mineral mixtures and raw mixes with and without fluorine contain…
E. B. Yanovskaya
This paper studies infinite antagonistic games on the unit square with payoff kernels that may be unbounded, addressing conditions under which the upper and lower values over distribution strategies coincide. It introduces quasi-invariance of a kernel with respect to families of transformations of t…
A. K. LAVRUKHINA, G. M. KOLESOV
This paper reports a radiochemical study of neutron-deficient rare-earth isotopes of the cerium group produced by irradiation of high-purity praseodymium oxide with 660 MeV protons. Rare-earth fractions were separated chromatographically, cerium was further purified by nitrate extraction, and activi…
P. K. RASHEVSKII
Rashevskii introduces the associative superenvelope of a complex Lie algebra as a completion of its universal associative envelope with respect to a countable system of norms on symmetrized formal series. The paper establishes multiplication estimates ensuring that this completion is a countably nor…
Corresponding Member of the Academy of Sciences of the USSR E. F. GROSS, N. S. KOCHEVA,
This paper reports low-temperature absorption, luminescence, and reflection studies of GaP crystals aimed at distinguishing free and bound exciton features and their coupling to lattice phonons. The authors identify step-like structures in the absorption spectrum at 77.3 K as indirect transitions to…
Unknown
The paper studies nonlinear differential and functional equations using variational methods in Banach spaces, focusing on convex functionals, potential monotone operators, and associated minimization principles. It proves that an increasing potential operator yields uniqueness of solutions to P(u) =…
N. K. KOCHETKOV, B. A. DMITRIEV
This paper examines the use of the Wittig reaction as a synthetic route for extending monosaccharide carbon chains and preparing 2,3-dehydro-2,3-dideoxy-aldonic acid derivatives. The authors show that unprotected reducing sugars, including arabinose, ribose, glucose, galactose, a heptose, and N-acet…
M. B. KNASTER, M. I. TEMKIN
This paper investigates the ionization rate of hydrogen on partially immersed smooth nickel and platinum electrodes in concentrated potassium hydroxide solutions under conditions where activation polarization is negligible. Using conical electrodes to vary separately the immersed surface area and th…
Unknown
The paper studies convergence criteria for sequences of linear operators that map continuous functions on [-1,1] to algebraic polynomials of bounded degree, focusing on alternatives to the usual uniform boundedness of operator norms. Using the correspondence with even periodic functions and a Faber,…
Unknown
The paper studies decompositions of infinitely divisible probability laws in Linnik’s class with an unbounded Poisson spectrum, focusing on whether a weakened decay condition on the spectral coefficients ensures that all components are infinitely divisible. It proves that if such a law satisfies sup…
A. I. MOROZOV, L. S. SOLOV’EV
The paper derives a symmetric formulation for stationary flows of an ideally conducting compressible fluid in a magnetic field under helical symmetry. Starting from the nondissipative magnetohydrodynamic equations, it introduces stream, magnetic, vorticity, and current functions, obtains integrals o…
V. S. Zavgorodnii, A. A. Petrov
The study examines free radical addition to 1,3-enyne organotin hydrocarbons as part of an effort to assess how tin affects the reactivity of conjugated enyne systems. Triphenylmethyl radicals, generated mainly from hexaphenylethane in benzene, were added to triethyltin vinylacetylene and triethylti…
Yu. N. Sheinker, E. M. Peresleni, A. I. Kol’tsov, N. M. Bazhenov,
This study examines the tautomeric structure of 2-aminothiazoline, a nonaromatic heterocyclic amine for which amino and imino forms had been considered possible. Infrared spectra, including deuteration experiments and dilution studies, were compared with nuclear magnetic resonance spectra in chlorof…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, A. I. GRAEVSKII,
This paper investigates the oxidation of triethylaluminum and related organoaluminum compounds in heptane solution, a process important both as an impurity-forming reaction in aluminum alkyl synthesis and as a route to alcohol precursors. Using oxygen absorption measurements, conductivity monitoring…
N. N. Sirota
This paper proposes a way to estimate the paramagnetic component of the magnetic susceptibility of semiconductor and covalent crystals from experimentally determined electron-density distributions. Building on the Van Vleck expression for susceptibility, it argues that nonspherical ion clouds and bo…
Unknown
This study reexamines the acid-catalyzed reactions of delta-3-carene oxide with alcohols, addressing discrepancies in earlier reports on whether isomerization gives aldehydic or ketonic products. Using sulfuric acid in methyl, isopropyl, and tert-butyl alcohols, the authors isolate and characterize …
Table 1
This paper proposes “oligosides” as a class of plant glycosides containing more than four or five monosaccharide residues, based chiefly on systematic studies of triterpene saponins from several plant species. It summarizes methods for isolating and characterizing these compounds, including mild ext…
Unknown
The paper addresses the discrepancy in some galaxies, especially M82, between strong Balmer absorption lines suggesting an early-type stellar population and colors indicating a later-type population. It develops a radiative transfer argument in which Balmer absorption may arise in interstellar hydro…
Unknown
This note develops a general framework connecting representations of automorphism groups of universal algebras with Ω-semigroups, Ω-rings, and their representations. It defines Ω-semigroups via left distributivity over a system of operations, studies distributive and strictly distributive elements, …
N. A. BORZUNOV, N. Ya. KUZMINA, I. Kh. NEVYAZHSKII, S. M. OSOVETS,
This paper reports experimental studies of hydrogen plasma in a toroidal apparatus driven by a high-frequency three-phase traveling electromagnetic wave at 2.5 MHz, intended to examine plasma confinement and wave-plasma interaction. Measurements of azimuthal drift current, electron density and tempe…

This paper examines how crystalline morphology affects the mechanical behavior of isotactic polypropylene films. Films with different spherulitic and elongated intergrowth structures were produced by controlled cooling from the melt, then tested in tension and examined optically after deformation. S…
Unknown
This paper examines the stability of emulsions with particular attention to the distinction between reversible droplet coagulation and irreversible coalescence, arguing that emulsion destruction depends on the latter rather than on aggregation alone. The authors measured streaming potentials in high…
V. F. Demichev, V. D. Matyukhin
Experiments are reported on fast plasma clots produced by a coaxial electrodynamic injector using hydrogen, deuterium, and helium, with injector voltage, gas amount, and discharge timing varied. Magnetic probes, displaced-flux measurements, calorimetry, thermal probes, ballistic momentum measurement…
Unknown
This paper derives a general expression for the differential cross section of the double Compton effect on an electron in the first nonvanishing order of perturbation theory. Using Feynman notation, the calculation includes the six photon-line permutations contributing to the matrix element, followe…
N. I. IONOV, M. A. MITTSEV
This paper examines the use of surface ionization as a method for studying catalytic reactions occurring in adsorbed layers on metallic surfaces. Experiments with a heated tungsten filament and magnetic-sector mass spectrometer measured ion emission during joint adsorption of barium atoms with lithi…
Unknown
This paper defines a formal notion of an algorithm scheme in which operators, logical conditions, arrows, brackets, and parameters may vary over ordered sets during execution. It introduces order and alphabetic products, parameterized systems, ranks of expressions, execution semantics, and equivalen…
E. S. MASHKOVA, V. A. MOLCHANOV, D. D. ODINTSOV
This paper investigates the angular anisotropy of ion induced electron emission from the (100) face of copper single crystals irradiated by singly charged argon ions at 20 and 30 keV. The authors measure the emission coefficient as a function of ion incidence angle and compare the results with polyc…
I. A. Tutorskii, I. Ya. Slonim, Ya. G. Urman, E. P. Kudryavtseva,
Natural rubber cyclization in phenol media, catalyzed by phosphorus pentoxide, was investigated by nuclear magnetic resonance over 77 to 400 K, with residual unsaturation measured chemically and phase state checked by X-ray diffraction. The NMR line width changes little at early cyclization stages, …
I. A. Smirnov, N. M. Morozov, M. I. Temkin
This paper examines the kinetics of ammonia synthesis on promoted iron catalysts in the presence of water vapor, addressing limitations of earlier poisoning equations that fail to reduce to the standard synthesis rate law when water is absent. A kinetic expression is derived by treating adsorbed nit…
Unknown
The study examines the reaction of Delta3-carene oxide with methyl alcohol in the presence of sodium methylate, motivated by earlier evidence that acid catalysis gives mainly the anomalous addition product. The reaction mixture was heated in sealed tubes, fractionated, and analyzed by elemental anal…
Unknown
This paper investigates how grafted polyacrylic acid is distributed within synthetic polymer fibers and addresses the low electron-microscopic contrast between grafted and ungrafted polymer regions. Polyethylene, isotactic polypropylene, and capron fibers prepared by radiation gas-phase graft polyme…
Unknown
This paper studies the interpretation of formulas of Heyting propositional calculus as finite Kolmogorov-type problems and compares the resulting notion of general validity with Kleene and Rosser realizability. It proves that, for formulas omitting disjunction or implication, general validity implie…
B. D. ROMM
This paper studies the restriction to the real Lorentz group of unitary irreducible representations in the principal series of the proper Lorentz group, formulated via the locally isomorphic group of complex unimodular two by two matrices. Using the Plancherel formula for the real subgroup, it const…
Unknown
This paper develops a kinetic theory for the stationary distribution of a fully ionized near-Earth plasma in the terrestrial electric and magnetic fields, treating the radiation belts as a possible single statistical formation. Using ellipsoidal velocity distribution functions, the authors derive co…
S. A. Semiletov, I. P. Voronina
This paper investigates the preparation of single-crystal lead selenide films by vacuum sublimation and epitaxial growth, with attention to how substrate material and temperature affect structure and electrical properties. PbSe was evaporated onto NaCl, LiF, and glass substrates, and the resulting f…
R. A. KARAKHANOV
This paper reports a selective route to tetrahydrofuran ketones from furfurylideneacetone and their conversion into gamma diketones. Hydrogenation in the liquid phase over a skeletal palladium aluminum catalyst is shown to reduce first the side chain double bond and then the furan ring while largely…
Unknown
The paper introduces two classes of regular functions of two complex variables, defined by requiring their one variable restrictions on analytic plane sections to generate starlike univalent or convex univalent mappings. For functions regular in a bounded complete bicircular domain and normalized by…
A system of singular integral equations is considered:
This paper studies the index of systems of multidimensional singular integral equations on a smooth manifold bounding a ball, under the standard ellipticity condition that the determinant of the associated symbol is nonzero on the tangent unit bundle. It defines a topological integer associated with…
S. S. KABALKINA, Z. V. TROITSKAYA
Cadmium sulfide was examined at room temperature under pressures up to 90 kbar to determine directly the structure of its high-pressure phase, previously inferred from optical changes and recovered samples. Using a calibrated high-pressure x-ray diffraction chamber, the authors recorded diffraction …
Unknown
The paper analyzes resonant vibrational relaxation in a closed system of interacting harmonic oscillators when first order perturbation theory may fail because transition probabilities can become large. Using the adiabatic approximation and a slow beat condition, it derives transition probabilities …
Unknown
The paper studies special integrable cases of the equations of motion for a heavy gyrostat fixed at one point, with a flywheel contributing constant angular momentum components in body axes. It first extends the Goryachev-Chaplygin case under the conditions that two flywheel momentum components vani…
V. A. Khramchenkov
This paper examines the radiation-initiated bulk polymerization of several fluoroolefins under cobalt-60 gamma irradiation at room temperature, with attention to how fluorine and hydrogen substitution affects chain growth. Polymerization rates, radiation-chemical yields, molecular weights, conversio…
Unknown
This paper develops an invariant differential geometry for an m-dimensional manifold whose elements are nondegenerate even-order algebraic hypersurfaces contained in hyperplanes of projective space. Using the moving-frame method, it derives the differential equations of the manifold, identifies an i…
Unknown
Yu. V. ZEIFMAN, N. P. GAMBARYAN, I. L. KNUNYANTS
This paper reports methods for preparing imines of hexafluoroacetone, compounds previously difficult to obtain by conventional dehydration or ketal routes. The authors describe a catalytic synthesis of the anil from phenyl isocyanate and hexafluoroacetone in the presence of triphenylphosphine oxide,…
Unknown
This paper generalizes the Vietoris-Begle theorem for closed mappings of paracompact Hausdorff spaces by allowing non-acyclic point preimages, provided the exceptional sets have sufficiently small relative dimension. Using sheaf cohomology and Leray spectral sequences, it gives conditions under whic…