Showing 50 of 25456 papers

On Some Transformations of Quaternary Salts of 2- $\beta$ -chloropropenyl Derivatives of Heterocyclic Bases

Unknown
1963 SovietRxiv: ru-196301.17899

This paper examines condensations of quaternary salts of 2-beta-chloropropenylbenzthiazole and benzselenazole with benzthiazole derivatives bearing alkylmercapto, sulfo, or phenoxy groups. Instead of the anticipated meso-chlorocarbocyanines, the reactions gave carbocyanine dyes in which the meso chl…

On the Mean Value Theorem

Unknown
1963 SovietRxiv: ru-196301.17877

This note gives a new proof of Vinogradov’s mean value theorem for the number of solutions of systems equating sums of like powers, with the aim of improving the dependence on the degree parameter in the resulting estimates. The argument introduces a congruence lemma for variables distinct modulo a …

On the Texture of Electrodeposited Tin

N. PANGAROV, V. MIKHAILOVA
1963 SovietRxiv: ru-196301.17835

This study examines how overvoltage affects the preferred orientation of electrodeposited tin, a metal with a body-centered tetragonal lattice. Using the theory of two-dimensional nucleus formation developed by Stranski and Kaishev, the authors compare calculated formation works for the (100), (110)…

On the Influence of Electromagnetic Retardation of Molecular Attraction on the Coagulating Concentrations of Electrolytes

Unknown
1963 SovietRxiv: ru-196301.17783

This paper examines how electromagnetic retardation in molecular attraction modifies the theoretical dependence of electrolyte coagulating concentration on ion valency. Starting from the Derjaguin and Landau treatment of coagulation, it replaces the usual nonretarded van der Waals plate interaction …

On tensor fields on the $n$-dimensional sphere

Unknown
1963 SovietRxiv: ru-196301.17765

This paper studies tensor fields on the n-dimensional sphere in Euclidean space and seeks invariant irreducible spaces under the full orthogonal group whose finite sums uniformly approximate arbitrary continuous tensor fields. It introduces tensor fields induced from tensors in the ambient Euclidean…

TWO-TERMINAL DIODE NETWORKS

Unknown
1963 SovietRxiv: ru-196301.17725

The paper examines two-terminal diode networks for relay and control structures as an alternative to previously studied single-terminal diode networks. It defines complete elementary two-terminal networks, states restrictions on their construction through lemmas and theorems concerning structural fo…

Effect of Adsorption of Free Radicals on the Contact Potential of $n$-Type Semiconductors

E. E. GUTMAN, I. A. MYASNIKOV
1963 SovietRxiv: ru-196301.17584

This study examines how chemisorption of methyl free radicals affects the contact potential difference, and hence the electron work function, of n-type zinc oxide films. Using a vibrating-electrode contact potential apparatus, methyl radicals were generated by photolysis of acetone vapor and their a…

Development of an Electric Discharge in Aqueous Electrolytes

N. P. MELNIKOV, G. A. OSTROUMOV, M. Yu. STOYAK
1963 SovietRxiv: ru-196301.17576

This study experimentally examines the development of high-voltage electric discharges in aqueous sodium chloride electrolytes over a wide range of low-voltage specific conductivities. Using photographed incomplete discharges together with synchronized voltage and current oscillograms, the authors d…

Decomposition into irreducible representations of the tensor product of two irreducible representations of the real unimodular group of the second order (the case of two discrete series)

Unknown
1963 SovietRxiv: ru-196301.17573

This paper studies the tensor product of two irreducible discrete series representations of the real unimodular group of second order, realized through its isomorphic action on analytic functions in the unit disk. Using explicit Hilbert space models and strongly convergent operator kernels, it const…

ON ALGORITHMIC PROBLEMS IN PARTIALLY ORDERED GROUPS

Unknown
1963 SovietRxiv: ru-196301.16768

This paper studies algorithmic questions for partially ordered groups, both for finitely presented groups equipped with positive invariant subsemigroups and for groups specified by finitely many generators and defining inequalities. It relates effective partial orderability to decidability of member…

On the Comparative Reactivity of Hydrocarbons of the Cyclopropane Series

O. A. NESMEYANOVA, M. Yu. LUKINA, B. A. KAZANSKII
1963 SovietRxiv: ru-196301.16637

This study examines how substituents affect the reactivity of cyclopropane hydrocarbons toward electrophilic ring opening. To avoid catalyst-specific effects, the authors developed a quantitative titrimetric method based on the reaction of cyclopropane derivatives with mercuric acetate in anhydrous …

Homogeneous and Heterogeneous Crystallization of Carbon

V. I. KASATOCHKIN, G. B. FINKELSHTEIN
1963 SovietRxiv: ru-196301.16615

This paper examines homogeneous and heterogeneous crystallization of carbon during high-temperature treatment of carbonaceous substances, with particular attention to sugar coke as a nongraphitizing material. Using X-ray analysis, the authors compare products obtained from different masses of sugar …

On the Possibility of Detecting and Studying Radiation Belts at Large Distances Using Radio Astronomy Methods

Unknown
1963 SovietRxiv: ru-196301.16584

The paper examines whether distant radiation belts or other regions with regular magnetic fields can be detected and characterized through their synchrotron or cyclotron emission using radio-astronomical methods. For a dipole magnetic field and a specified electron distribution, expressions are deri…

The photoisomerization of $\alpha,\alpha'$ -difluorostilbene

V. N. VASIL’EVA, Corresponding Member of the USSR Academy of Sciences K. A. KOCHESHKOV
1963 SovietRxiv: ru-196301.16360

This study examines the light-induced stereoisomerization of alpha,alpha-prime-difluorostilbene, using dielectric measurements and ultraviolet spectroscopy to distinguish geometric isomers. Solutions of purified material were irradiated in sunlight for varying periods, and changes in dielectric cons…

Application of the Least Squares Method to Eigenvalue Problems

Let it be required to find the eigenvalues of the equation
1963 SovietRxiv: ru-196301.16064

The paper develops a least squares approach for approximating eigenvalues of operator equations depending on a complex parameter in Hilbert spaces. It defines a nonnegative functional measuring the minimal residual norm and shows that, for an appropriate complete trial system, the local minima of fi…

A Problem in the Spectral Theory of Differential Operators

Unknown
1963 SovietRxiv: ru-196301.15984

This paper studies asymptotic questions for the Dirichlet Laplacian on the unit square, whose eigenvalues reduce to counting lattice points satisfying a quadratic inequality. Using a known estimate for lattice points in a circle, it gives an asymptotic formula for the eigenvalue counting function wi…

TWO TYPES OF TERMINATION OF TRAJECTORIES OF A MARKOV PROCESS

L. V. SEREGIN
1963 SovietRxiv: ru-196301.15971

This note studies standard Markov processes whose trajectories are killed at a random time and distinguishes two modes of termination. It defines sigma trajectories, for which termination can in suitable settings be associated with a limiting point of the path, and delta trajectories, characterized …

Integral Equation for the Aperture Field in the Electromagnetic Coupling of Two Volumes

I. B. LEVINSON, S. S. FEL, P. Sh. FRIDBERG
1963 SovietRxiv: ru-196301.15954

This paper formulates a general vector integral equation for the electric field at an aperture coupling two electromagnetic volumes, such as waveguides or resonators, without imposing small-aperture or special-geometry restrictions. Using affine Green functions for the two uncoupled, metallized volu…

Semiheaps with Minimal Left Ideals

Unknown
1963 SovietRxiv: ru-196301.15767

This note develops an analogue for semiheaps of the Sushkevich, Rees, and Clifford structure theory for completely simple semigroups. It defines left, right, lateral, and two-sided ideals in semiheaps, constructs semiheaps from groups with zero, inverse automorphisms, and sandwich matrices, and prov…

Synthesis of Symmetric 3,4-Bis(dialkylaminomethyl)furans

=========
1963 SovietRxiv: ru-196301.15638

This paper reports the synthesis of symmetrical 3,4-bis(dialkylaminomethyl)furans as positional isomers of previously studied 2,5-bis(dialkylaminomethyl)furans whose diiodomethylates showed ganglion-blocking activity. The authors developed a route from 3,4-bis(oxymethyl)furan through 3,4-bis(chlorom…

Incommensurability of the Minimal Linear Measure with the Length of a Set

A. G. VITUSHKIN, L. D. IVANOV, M. S. MELNIKOV
1963 SovietRxiv: ru-196301.15597

The paper addresses Kolmogorov’s question whether the Hausdorff length of every planar set of finite positive length is bounded by an absolute constant times its minimal linear measure. It constructs, by an iterative splitting and displacement of horizontal intervals with carefully chosen parameters…

On the length of a cycle in the $n$-dimensional unit cube

Unknown
1963 SovietRxiv: ru-196301.15537

The paper studies the maximum possible length of a cycle in the graph of the n-dimensional Boolean cube, a problem motivated by algorithms for simplifying disjunctive normal forms and related coding questions. It formulates lower bounds for this maximum length, including an explicit construction for…

On the bending of a surface with boundary

Unknown
1963 SovietRxiv: ru-196301.15389

This paper studies restrictions on the behavior of the boundary of a simply connected surface of positive Gaussian curvature under isometric bending. Using Vekua’s theory of generalized analytic functions, it formulates a nonlinear boundary value problem for the complex function of the bending and p…

On the divergence of Fourier series of continuous functions with respect to a rearranged trigonometric system

Unknown
1963 SovietRxiv: ru-196301.15226

This paper strengthens Olevskii’s result on the divergence of Fourier series after rearrangement for complete orthonormal systems, focusing on the trigonometric system. It proves, using auxiliary lemmas on unbounded divergence of continuous functional series and on modified trigonometric polynomials…

On the construction of the $S$-matrix

B. M. STEPANOV
1963 SovietRxiv: ru-196301.15128

The paper addresses the perturbative construction of the S-matrix in quantum field theory, focusing on how to define the symmetric operator coefficients without introducing preliminary propagator regularization. Using mathematical induction, the causality condition is reformulated as a statement abo…

Generalization of Friedmann Models of the Universe

Unknown
1963 SovietRxiv: ru-196301.15068

The paper develops a generalized Friedmann cosmological model in which the gravitational coupling is allowed to vary with the scale factor, and includes additional energy momentum terms for massless particles and the gravitational field. For isotropic spaces of positive, zero, and negative curvature…

Synthesis of New Mixed Organogermanium Compounds of the Types $(\mathrm{C}_6\mathrm{H}_5)_3\mathrm{GeR}$ and $(\mathrm{C}_6\mathrm{H}_5)_3\mathrm{Ge}$ – $\mathrm{C}_6\mathrm{H}_4\mathrm{X}$

Unknown
1963 SovietRxiv: ru-196301.15030

This paper reports the synthesis and characterization of new mixed organogermanium compounds of the types triphenylgermyl alkyl or cycloalkyl derivatives and substituted aryl triphenylgermanes. Using germanium tetrachloride as the starting material, the authors prepared tetraphenylgermane, optimized…

Analysis and synthesis of rings of type $C$

K. DE LEEUW, H. MIRKIL (K. DE LEEUW, H. MIRKIL)
1963 SovietRxiv: ru-196301.14939

This note examines Shilov’s analysis and synthesis of homogeneous regular normed rings of continuous functions of type C on compact groups, focusing on whether synthesis from a local ring recovers the same local ring under subsequent analysis. For strict type C rings on a torus, the authors reformul…

Optical method for determining the melting temperature of graphite as a function of pressure up to 3000 atm

N. S. Fateeva, L. F. Vereshchagin, V. S. Kolotygin
1963 SovietRxiv: ru-196301.14854

This paper describes an optical method for measuring the melting temperature of graphite under argon pressure up to 3000 atm, addressing limitations of earlier studies that identified melting qualitatively and relied on visual pyrometry. The apparatus combines a high pressure vessel, electrically he…

On the mechanism of extraction of cerium(IV) nitrate from nitric acid solutions by tributyl phosphate (TBP)

Corresponding Member of the USSR Academy of Sciences A. V. Nikolaev, A. I. Ryabinin,
1963 SovietRxiv: ru-196301.14662

This study examines the mechanism of cerium(IV) nitrate extraction from nitric acid solutions by tributyl phosphate in the quaternary system cerium(IV) nitrate, nitric acid, water, and TBP at 25 degrees C. Using the course of extraction rays, equilibrium phase compositions, and distribution coeffici…

On the oxidative degradation of polyformaldehyde

Unknown
1963 SovietRxiv: ru-196301.14546

This paper examines the thermo-oxidative destruction of polyformaldehyde with hydroxyl and acetyl end groups at 180 to 185 °C, where oxidation competes with depolymerization because of the polymer’s low ceiling temperature. Decomposition products were collected during oxygen circulation through the …

ON A GENERALIZED CAUCHY FORMULA FOR AN ELLIPTIC SYSTEM OF FIRST ORDER

1. Let a certain elliptic system of first order in the plane be written in the form of a single complex equation
1963 SovietRxiv: ru-196301.14530

The paper studies a first order elliptic system in the plane, reduced to the generalized analytic equation with a nonzero constant complex coefficient. Using its connection with the modified Helmholtz type equation, the author constructs two fundamental kernels in terms of Hankel functions and verif…