Unknown
This paper examines how adsorption modification of dispersed quartz by octadecylamine affects structure formation in quartz suspensions and rubber solutions. Adsorption from p-xylene was measured directly by interferometric and colorimetric methods and compared with the limiting shear stress of conc…
Unknown
Unknown
This paper examines how the crystalline, helical structure of isotactic polymethyl methacrylate is reflected in its infrared absorption spectrum. Films prepared from chloroform solution were crystallized by swelling in 4-heptanone, characterized by X-ray diffraction, and compared with amorphous, hea…
A. F. GAMETSKII
This paper studies lattice coverings of Euclidean space by balls centered at lattice points, focusing on lattices of the first type in Voronoi’s classification. It proves that Voronoi’s principal lattice of the first type, constructed from a regular Selling frame, gives the least covering density am…
L. V. MIKHAILOVSKAYA, A. B. MIKHAILOVSKII
This paper examines how Suydam instability in a plasma confined by a helical magnetic field is modified when the finite ion Larmor radius is included beyond the magnetohydrodynamic approximation. Starting from the collisionless kinetic equation, the authors calculate the wave induced plasma currents…
Unknown
High-resolution proton magnetic resonance was used to examine how ortho alkyl substitution affects hydrogen bonding of sterically hindered phenols, including 2,6-xylenol, 2,6-diisopropylphenol, and ionol, in carbon tetrachloride and donor solvents. Concentration-dependent shifts of the hydroxyl prot…
S. L. SOBOLEV
This note gives a direct proof that finite functions are dense in the homogeneous Sobolev-type space \(L_p^{(m)}(E_n)\) for \(p>1\), whose norm is defined by the \(L_p\) integral of all derivatives of order \(m\). The argument reduces the problem to smooth representatives with controlled behavior at…
Unknown
This paper examines the relation between the “true” canonical formulation of an interacting Bose system, in which zero-momentum creation and annihilation operators are retained, and the modified formulation, in which they are replaced by the c-number square root of the condensate occupation. It argu…
Unknown
This paper examines microscopic structural evidence for the presence and decomposition of lower-valence metal oxides in slags formed during metallothermic ferroalloy production with deficient reductant. Using observations of industrial and laboratory slags from chromium, titanium, and molybdenum sme…
=====================================
This paper studies how nonerasing Turing machines can compute operators on infinite input sequences when part of the tape is reserved for intermediate information that is not counted as output. It defines universal scratchpads for such computations and characterizes them, for recursive sets with inf…
B. A. Arbuzov, Yu. Yu. Samitov, Z. G. Isaeva
This study examines the relationship between proton NMR spectra and the conformation of the two stereoisomeric oxides of delta 3 carene, alpha 3,4 epoxycarane and beta 3,4 epoxycarane. The authors compare high resolution proton NMR spectra, assign methyl, cyclohexane, and cyclopropane proton signals…
I. I. IBRAGIMOV, A. S. JAFAROV
The paper studies sharp norm estimates for differential operators acting on entire functions of exponential type at most ν that belong to L2 on the real axis. Using integral representations for such functions and their L2 conjugates, together with the Cauchy, Bunyakovsky inequality and Parseval iden…
Unknown
This paper derives a thermodynamic criterion for the applicability of Polanyi’s potential theory of adsorption without assuming that the adsorbed phase is a normal liquid. From the requirement of a temperature independent characteristic curve, the authors show that a necessary condition is a negativ…
G. E. KUZMAK, V. K. ISAEV, B. Kh. DAVIDSON
This paper studies optimal control for the motion of a variable mass point in a homogeneous central gravitational field under bounded reactive thrust. Using Pontryagin’s maximum principle, the authors derive adjoint equations and exploit their explicit solution in the approximating field model, wher…
Unknown
This paper examines the analogy between hypersonic flow past thin bodies with blunt leading parts and the flow produced by a strong cylindrical explosion. It reviews how the analogy supports similarity laws and integral methods for predicting pressure and drag, including the differing effects of blu…
Unknown
This study examines the protonation and acid dissociation equilibria of 8-mercaptoquinoline in aqueous solution, information needed for quantitative characterization of metal thiooxinate formation and extraction. Absorption spectra were measured over pH 0 to 11 at constant ionic strength and 20 ± 1 …
Unknown
The paper examines how the temperature coefficient of the burning rate of explosives and propellants depends on pressure, with particular attention to nitroglycerin propellants and a potassium perchlorate, bitumen model mixture. Using experimental comparisons and Zel’dovich’s combustion theory, the …
A. A. GRINBERG, M. I. GELF’MAN
This paper examines the stability of divalent platinum complex compounds in the monoammine and triammine members of the Werner-Miolati transition series, complementing earlier work on platinate, diammine, and tetrammine complexes. Potassium Cossa salt and Cleve chloride were synthesized, analyzed, a…
Unknown
This paper investigates carbonium polymerization of several polyester acrylates, including MGF-9, TMGF-11, and MDF-2, using titanium tetrachloride as catalyst, with attention to the formation and properties of soluble beta-polymers and three-dimensional polymers. The authors characterize the product…
Unknown
This paper studies cohomological dimension functions of finite-dimensional compacta with respect to the Bockstein system of coefficient groups and their relation to Urysohn dimension. It proves a partial realization theorem for dimension functions, constructs corresponding test spaces, and shows how…
E. A. CHERNYSHEV, E. F. BUGERENKO,
A series of triethylsilyl-substituted alkylphosphinic acid esters with varying methylene chain length was synthesized by Arbuzov-type reaction of chlorosilanes with triethyl phosphite or by radical addition of diethyl phosphite to silicon-containing olefins. Hydrolysis of these esters with hydrochlo…
Unknown
This paper examines the local structure of magnetic field lines near periodic lines in a previously studied potential magnetic field, using a mapping plane representation of field-line returns. By numerically tracing field lines launched near rational points and constructing the corresponding linear…
T. A. KUDRYAVTSEVA, N. M. CHIRKOV, N. K. KOCHETKOV
This study examines how para substituents in the aromatic ring affect nucleophilic substitution of the β-vinylic chlorine atom in aryl-β-chlorovinyl ketones. The authors measured the kinetics of reaction with sodium ethoxide in absolute ethanol between minus 5 and minus 30 °C, following halide ion f…
G. K. Nikonov, R. K. Veremei
This study investigates the neutral lactone constituents of the bark of Sakhalin cork tree, Phellodendron sacchalinense, a medicinal plant whose chemistry had been little examined beyond known alkaloids. Alcoholic and acid-alcoholic extraction, crystallization, solvent partitioning, elemental analys…
Academician A. N. NESMEYANOV, A. E. BORISOV, N. V. NOVIKOVA,
This study reexamines the infrared absorption spectra of cis- and trans-propenyllithium in response to discrepancies arising from earlier measurements in ether solution, where some observed bands were attributable to ether. The authors prepared both stereoisomers under argon and recorded spectra for…
Unknown
The paper studies algebraic invariants of the linear representation induced on the coefficient space of a polynomial planar differential system by rotations of the phase plane. By passing to complex coordinates and diagonalizing the representation, it gives a constructive finite integral rational ba…
Corresponding Member of the Academy of Sciences of the USSR A. P. TERENT'EV, R. A. GRACHEVA, L. F. TITOVA,
This study examines the relationship between structure and optical activity in Schiff bases derived from optically active furan-series amines. Two series of Schiff bases from alpha-furylethylamine and alpha-(5-methylfuryl)ethylamine with substituted benzaldehydes, as well as furfural derivatives, we…
Ya. G. BERKOVICH
This note studies characterizations of finite groups by the structure and number of classes of noninvariant solvable subgroups, especially classes defined by isoordinality or isomorphism and by restrictions on prime divisors. It introduces quasinilpotent groups through a condition on pairs of subgro…
Unknown
This paper studies a boundary value problem for a linear odd order evolution equation on a finite strip, with homogeneous initial data and asymmetric boundary conditions for derivatives at the two endpoints. The argument establishes a priori estimates for finite expansions in the eigenfunctions and …
Unknown
The paper studies the nonlinear self-similar problem of a wedge penetrating an ideal incompressible weightless liquid at constant velocity, focusing on the previously unresolved contact between the liquid free surface and the solid wedge boundary. The flow is formulated through a conformal mapping f…
Academician of the Academy of Sciences of the BSSR B. I. STEPANOV
This paper analyzes the stability of stationary states in quantum generators with resonators of arbitrary form. It formulates gain and loss balance along ray paths, includes losses from scattering, absorption, coatings, and radiation escape, and uses a nonlinear saturation model to derive conditions…
---
P. V. SCHASTNEV, G. M. ZHIDOMIROV
This paper examines semiempirical relations used to interpret isotropic hyperfine splitting in the EPR spectra of free radicals, especially the extension of the Karplus and Fraenkel formula to bonds formed by nonequivalent atoms or orbitals. By considering pi and sigma configurational interaction fo…
Unknown
This paper examines progressive internal waves in a continuously stratified ocean with a density profile consisting of an upper homogeneous layer and an exponentially varying main thermocline. Starting from the linear stream-function equation for two-dimensional harmonic waves, the author derives an…
Unknown
This paper estimates the intensity of vertical water transfer between the sea surface and near-bottom layers in a real ocean basin, motivated by questions about the possible deep-ocean disposal of radioactive decay products. Using a quasi-stationary dynamical model of ocean circulation, the analysis…
Unknown
This paper extends Postnikov’s asymptotic result on the distribution of exponential rational trigonometric sums by treating denominators of the special form \(g^\tau - 1\). Using the method of moments, it removes the earlier restriction on the summation length for this case and proves that the norma…
Unknown
This paper studies the first boundary-value problem for a coupled diffusion system consisting of a quasilinear parabolic equation for one unknown and an evolution equation for another, with applications suggested in reactor theory and heat processes in solidifying solutions. Under monotonicity, Lips…
A. N. NESMEYANOV, V. A. SAZONOVA, V. I. ROMANENKO
This paper examines the previously undescribed alkylation of ferrocenylamine and related stability questions arising from photochemical cleavage of substituted ferrocene systems. Ferrocenylamine was treated without solvent with triethyloxonium borofluoride to give ethylferrocenylamine in 77% yield, …
GIL’M KAMAI, B. D. CHERNOKAL’SKII
This paper extends the bond refraction method for calculating molecular refraction to organoarsenic compounds, where previous calculations relied on class specific atomic refractions for arsenic. Using published density and refractive index data and the Lorentz Lorenz formula for the sodium D line, …
Unknown
This paper estimates the expected soft X-ray radiation of bright stars at wavelengths below 100 Å, motivated by the increasing feasibility of rocket observations and by strong interstellar absorption at longer extreme-ultraviolet wavelengths. Using coronal emission measures from earlier stellar atmo…

This study examines how radioactivity affects the structure of precipitated calcium, strontium, and barium sulfates, focusing on specific surface area and crystal size distribution. Radioactive precipitates were prepared under controlled conditions with varying amounts of sulfur-35 or calcium-45, th…
Unknown
The paper studies lower bounds for the complexity of contact circuits realizing the Boolean function that is true when at least two of its n variables are true. It develops structural lemmas showing that a minimal series-parallel realization can be represented by a special monotone formula built fro…
M. K. VOLKOV, T. VERESH
This paper extends a superfluid nuclear model of alpha decay to transitions from even-even parent nuclei into collective vibrational states of deformed daughter nuclei. Using a Hamiltonian with pairing and quadrupole-quadrupole interactions, the authors apply the Bogolyubov canonical transformation …
Unknown
This paper examines how the rate of deformation affects ultimate strength and maximum strain in oriented glass-reinforced plastics under uniaxial compression or tension. Using a viscoelastic model based on elastic and highly elastic deformation components and Maxwell-Gurevich type equations, the aut…
Unknown
This note studies finite-dimensional Lie algebras admitting regular automorphisms, with emphasis on positive characteristic, where the problem is related to degenerate simple Lie algebras. The authors prove that a Lie algebra over a field of characteristic p greater than 0 with a regular automorphis…
Kh. I. Amirkhanov, A. M. Kerimov
This paper reports high-resolution adiabatic calorimetric measurements of the constant-volume heat capacity of water and water vapor near the liquid-vapor boundary curve, including the critical region. By reducing temperature and specific-volume steps and improving the calorimeter, the authors measu…
D. G. KNORRE, T. N. SHUBINA
This paper proposes an aqueous peptide synthesis strategy using water-soluble carbodiimides, emphasizing separation of neutral peptide products from ionic reactants and by-products by ion-exchange resins. The authors examine cyclohexyl beta-N-(N-methylmorpholinium)ethylcarbodiimide p-toluenesulfonat…
L. R. VOLEVICH
This paper extends the theory of normal solvability for general elliptic boundary value problems to Douglis and Nirenberg elliptic systems, including Petrovskii systems. It formulates ellipticity through the principal parts of the differential and boundary operators together with the Lopatinskii con…
The transformation
This paper examines how hydrostatic pressure affects the graphite and cementite phase equilibrium in the iron carbon system, where graphite is stable at atmospheric pressure but cementite may become stable under compression. Using thermodynamic calculations for alpha iron and gamma iron regions, wit…
Unknown
This paper addresses Neuwirth’s question whether every knot group can be expressed as the free product of two free groups of equal rank with an amalgamated subgroup of rank one less than twice that rank. Using Heegaard splittings, canonical cuts on handlebody boundaries, van Kampen’s theorem, and a …