Showing 50 of 25456 papers

On the Inductive Dimension of Proximity Spaces

D. R. ISBELL
1960 SovietRxiv: ru-196001.44902

This note proposes a natural definition of inductive dimension for proximity spaces, based on sets that free pairs of far sets, in response to Smirnov’s covering definition of proximity dimension. It proves general inequalities relating this invariant to proximity dimension and to classical inductiv…

Catalytic Dehydrogenation of Cyclohexanol

A. A. Balandin, O. K. Bogdanova, and A. P. Shcheglova
1960 SovietRxiv: ru-196001.44869

The study examines catalytic dehydrogenation of cyclohexanol to cyclohexanone over a mixed oxide catalyst previously applied to aliphatic alcohols. Using a flow apparatus, the authors measured hydrogen evolution and cyclohexanone formation across a range of temperatures and feed rates, determined re…

Electronic Structure of the Ferricinium Cation and Other Aromatic Metal Complexes

E. M. SHUSTOROVICH and M. E. DYATKINA
1960 SovietRxiv: ru-196001.44793

The paper calculates molecular orbitals and effective charge distributions for the ferricinium cation and related aromatic metal complexes, extending earlier treatments of metallocenes and dibenzenechromium systems. Using the same approximate self-consistent molecular orbital method, the authors com…

On the Effect of Pressure on the Velocity of Laminar and Turbulent Combustion

V. P. Karpov and A. S. Sokolik
1960 SovietRxiv: ru-196001.44762

This paper examines how pressure affects laminar and turbulent burning velocities, using propane-air mixtures as the main experimental case and comparing bomb measurements with prior burner and flow studies. For laminar flames, the authors argue that discrepancies at reduced pressure arise from the …

Systems of $3$ -methylisoquinoline with benzene, naphthalene, $2$ -methylnaphthalene, and indole

V. M. KRAVCHENKO and I. S. PASTUKHOVA
1960 SovietRxiv: ru-196001.44575

This study examines liquid, crystal phase equilibria in binary systems of 3-methylisoquinoline with benzene, naphthalene, 2-methylnaphthalene, and indole, for which little prior phase-diagram information was available. Purified components and mixtures were investigated mainly by thermal analysis wit…

On the Application of the Method of Variation of Parameters to the Computation of Determinants

D. F. DAVIDENKO
1960 SovietRxiv: ru-196001.44544

The paper develops a parameter variation approach for numerically computing determinants of matrices whose entries depend smoothly on a parameter. It derives the differential identity for the determinant, expressing its derivative as the determinant times the trace of the product of the inverse matr…

A Priori Estimate of Solutions to the Dirichlet Problem for an Elliptic Operator with Discontinuous Coefficients

I. A. SHISHMAREV
1960 SovietRxiv: ru-196001.44490

This paper proves an a priori maximum estimate for a Dirichlet transmission problem for second order elliptic operators whose coefficients are discontinuous across an interior Lyapunov surface. The solution is assumed continuous across the interface, with a prescribed jump in conormal derivative and…

Some Remarks on the Observation Equation with Unknown Weights

O. V. SHALAEVSKII
1960 SovietRxiv: ru-196001.44194

This note studies confidence estimation for prescribed linear functions of unknown parameters in systems of observation equations when the relative accuracies, or weights, of different groups of normally distributed observations are unknown. Using matrix least squares, Wald’s approach to the Behrens…

Effect of Solids on the Decomposition of $\mathrm{CCl}_4$ in Aqueous Solution under Gamma Irradiation

Unknown
1960 SovietRxiv: ru-196001.44057

This study examines how dispersed solid phases affect the gamma radiolysis of carbon tetrachloride in a water mixture, using chloride ion formation as the measure of decomposition. Mixtures of carbon tetrachloride and water were irradiated with cobalt-60 gamma rays in the presence of varying amounts…

Synthesis of $1$-Nitropropylene and Evaluation of Its Polymerization Ability

Nitroolefins are of interest from the standpoint of their possible use for the synthesis of various products.
1960 SovietRxiv: ru-196001.43986

This paper investigates the synthesis of 1-nitropropylene from nitromethane and acetaldehyde via 1-nitropropanol, and compares two routes for converting the alcohol intermediate to the nitroolefin. Dehydration of 1-nitropropanol in the presence of phthalic anhydride gave a substantially higher yield…

Interaction of Hydrosilanes with Acrylonitrile in the Presence of Iron Pentacarbonyl and Nickel Chloride

Unknown
1960 SovietRxiv: ru-196001.43959

This study examines the addition of methyldichlorosilane and triethylsilane to acrylonitrile under conditions involving iron pentacarbonyl, nickel chloride, and related reaction media. Experiments in stainless-steel autoclaves and sealed glass ampoules showed that neither nickel chloride alone nor, …

On the Association of Cellulose with Its Accompanying Substances in Plant Tissue

Academician of the Academy of Sciences of the BSSR B. I. STEPANOV, A. I. SKRIGAN, A. M. SHISHKO
1960 SovietRxiv: ru-196001.43847

This paper examines whether cellulose in plant tissue is merely mechanically associated with lignin and other components or is partly chemically bound to them. The authors cooked pine woods of different ages, flax-fiber waste, and cotton cellulose in sodium deuteroxide prepared in heavy water, measu…

New Routes for Obtaining Hexafluoroplatinates. Fluorination with Chlorine Trifluoride

I. I. Chernyaev, N. S. Nikolaev, and E. G. Ippolitov
1960 SovietRxiv: ru-196001.43760

This paper reports improved methods for preparing potassium hexafluoroplatinate using chlorine trifluoride as a fluorinating agent. The authors examine fluorination of platinum with potassium bifluoride and, more effectively, the conversion of potassium hexachloroplatinate by gaseous chlorine triflu…

Stereochemistry and Mechanism of Hydrogen Bromide Addition to Dimethyl Acetylenedicarboxylate in Organic Acids

Unknown
1960 SovietRxiv: ru-196001.43458

This study examines the kinetics and stereochemistry of hydrogen bromide addition to dimethyl acetylenedicarboxylate in organic acid solvents, including propionic acid, acetic acid, and an equimolar mixture of monochloroacetic and trichloroacetic acids. Kinetic measurements over varied temperatures …

Kinetics of the Transformation of Some Monocyclic Sulfides over an Aluminosilicate Catalyst

R. D. Obolentsev and V. I. Dronov
1960 SovietRxiv: ru-196001.43437

This study examines the kinetics of conversion of several monocyclic sulfides and 2-ethylthiophene over an aluminosilicate catalyst, motivated by the role of organosulfur compounds in catalytic cracking of sulfur-rich petroleum. Flow reactor experiments at atmospheric pressure and elevated temperatu…

On Surfaces Carrying \(\infty^2\) Conical Nets

A Peterson surface, i.e. a surface carrying a conical net, admits the parametrization
1960 SovietRxiv: ru-196001.43261

This note studies Peterson surfaces, defined as surfaces carrying conical nets and represented by sums of two curves in projective coordinates, with the aim of extending Lie’s theorem on translation surfaces. Using the known classification, up to collineation, of surfaces carrying two-parameter fami…

Adsorption of alkyl radicals on oxide semiconductors

Unknown
1960 SovietRxiv: ru-196001.42991

This study examines how chemisorbed alkyl radicals affect the electrical conductivity of ZnO oxide semiconductor films and develops quantitative relations between radical concentration and conductivity. Methyl radicals produced by acetone photolysis were used to test a surface trapping model in whic…

A Method for Determining Kinetic Constants and the Regions of Chemical Reactions Carried Out in Flow

The general equations of the kinetics of flow reactions are given in work (¹) in the form:
1960 SovietRxiv: ru-196001.42967

This paper develops a graphical method for analyzing the kinetics of homogeneous and heterogeneous catalytic reactions carried out in flow at constant pressure. By transforming the flow reaction equations, the authors show that reaction rates can be obtained directly from experimental conversion ver…

On the Approximation of the Reynolds Equations

Unknown
1960 SovietRxiv: ru-196001.42870

The paper develops a method for approximating the coefficient in the Reynolds equation, and related elliptic or hyperbolic equations, so that their solutions can be reduced to solutions of a simpler equation with an effectively solvable boundary-value problem. Using a Darboux-type transformation, it…

On esters of ethyl-$\beta$-chlorovinylphosphinic acid

V. S. Tsivunin and Gil’m Kamai
1960 SovietRxiv: ru-196001.42867

This paper examines halogenated derivatives of ethylvinylphosphinic acid, with emphasis on the preparation of ethyl beta-chlorovinylphosphinic acid chloride and its esters. The authors compare bromination and chlorination behavior, finding that the dibromo intermediate readily eliminates hydrogen br…

Effect of Anions on the Anodic Dissolution of Indium Amalgam

Unknown
1960 SovietRxiv: ru-196001.42765

This study examines how sulfate and halide anions affect the anodic dissolution of 0.1 M indium amalgam in indium perchlorate and perchloric acid solutions. Using radiochemical measurements combined with polarization methods at constant ionic strength, the authors isolated the true anodic current ne…

On Systems of Ordinary Differential Equations with Explicit Periodic Dependence on the Argument

A. A. SHARSHANOV
1960 SovietRxiv: ru-196001.42612

The paper studies analytic systems of ordinary differential equations whose right-hand sides depend explicitly and periodically on the independent argument, formulated through the construction of a one-parameter family of transformations interpolating between the identity and a given periodic analyt…

Spectrum of an ideal Fermi gas in a lattice

Unknown
1960 SovietRxiv: ru-196001.42542

A parametric treatment is developed for the one-particle spectrum of an ideal Fermi gas in a lattice, starting from orthogonalized localized trial functions and assuming lattice-symmetric matrix elements that decrease exponentially with intersite distance. The secular problem is solved for simple cu…

Targeted cancerolytic peptides

I. L. KNUNYANTS, N. E. GOLUBEVA, and O. V. KILDISHEVA
1960 SovietRxiv: ru-196001.42541

This paper addresses the limited specificity and toxicity of existing mutagenic antitumor agents by proposing short peptides as carriers capable of more selective interaction with DNA in cancer cells. The authors synthesize a series of tri- and tetrapeptide derivatives bearing di-(2-chloroethyl)amin…

Transformation Formulas for Coefficients in Lehmer's Method for the Numerical Solution of Algebraic Equations

Unknown
1960 SovietRxiv: ru-196001.42403

This note modifies Lehmer’s variant of the Lobachevsky, Graeffe method for the numerical solution of algebraic equations by replacing Lehmer’s auxiliary symmetric functions with functions that can be computed by the same recurrence program as the transformed coefficients. It derives transformation f…

Investigation of the Configuration of Saturated Cyclic Systems by Nuclear Magnetic Resonance. 2-Methyl-1-hydroxycyclohexylethylene Oxides and Some 1-Hydroxydecalylethylene Oxides

J. MUSHER and A. A. AKHREM
1960 SovietRxiv: ru-196001.42390

This paper applies high-resolution nuclear magnetic resonance spectroscopy to determine configurations and preferred conformations of 2-methyl-1-oxycyclohexylethylene oxides and several 1-oxydecalylethylene oxides. The analysis focuses on the proton spin systems of the ethylene oxide ring, distingui…

Dirichlet Principle for the Beltrami Equation in a Half-Space

P. I. LIZORKIN
1960 SovietRxiv: ru-196001.42366

This paper studies the Dirichlet problem in a half-space for the Beltrami equation with parameter range minus one less than mu less than one, formulated through finite weighted Dirichlet energy. It proves that a solution exists and is unique precisely when the boundary trace belongs to the fractiona…

HOMOGENEOUS RAPID DEFORMATION OF TURBULENCE IN A GAS

Unknown
1960 SovietRxiv: ru-196001.42306

This paper examines how initially homogeneous isotropic turbulence in a gas changes under rapid homogeneous deformation, such as passage through shock waves, nozzles, diffusers, or combustion zones. Assuming the deformation time is much shorter than the turbulence decay time, viscosity and inertial …

On the Atomic Refraction of Antimony

A. N. NESMEYANOV, A. E. BORISOV, and N. V. NOVIKOVA
1960 SovietRxiv: ru-196001.42260

This paper addresses the previously undetermined atomic refraction of trivalent and pentavalent antimony in organoantimony compounds. Using newly synthesized liquid stereoisomers of propenyl antimony compounds, the authors calculated molecular refractions by the Lorentz-Lorenz formula and derived at…

Equilibrium of lead tungstate with hydrogen and thermodynamic characteristics of $\mathrm{PbWO}_4$

L. A. ZHARKOVA, Ya. I. GERASIMOV, T. N. REZUKHINA, and Yu. P. SIMANOV
1960 SovietRxiv: ru-196001.42201

The study investigates the equilibrium reduction of lead tungstate by hydrogen in order to derive thermodynamic characteristics of lead tungstate. Lead tungstate samples were prepared, reduced in a controlled circulation apparatus, and analyzed by weight change, hydrogen consumption, and X-ray phase…

On a New Class of Parabolic Systems of Equations

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1960 SovietRxiv: ru-196001.42176

This note identifies a new class of linear parabolic systems with time-dependent coefficients for which the Cauchy problem satisfies Petrovskii’s correctness condition. The class is defined by grouping unknowns according to derivative weights, requiring the principal part of the associated matrix to…

Solar Corpuscular Streams and Families of Geomagnetic Storms

==========
1960 SovietRxiv: ru-196001.42125

This paper examines the relationship between solar corpuscular streams and sequences of geomagnetic activity termed families of geomagnetic storms, using 1957 to 1959 International Geophysical Year magnetograms from Srednikan, Eskdalemuir, and Little America. It argues that a single stream can produ…

Conjugate Nets with Parabolic Congruences of Axes

V. V. Goldberg
1960 SovietRxiv: ru-196001.42120

This paper continues the projective differential-geometric study of conjugate nets whose first or second axis congruences are parabolic. Using a moving projective frame adapted to the net and its Laplace transforms, it derives Pfaffian equations, expresses Darboux invariants, and formulates algebrai…

On the Problem of Convective Instability of Plasma

Unknown
1960 SovietRxiv: ru-196001.42033

This paper examines convective instability in spatially inhomogeneous plasma using hydrodynamic equations rather than the more complicated collisionless kinetic formulation. For an infinitely conducting magnetohydrodynamic fluid with small-scale perturbations, it derives a stability condition involv…

On the $RI^*$-solvable radical of groups

Unknown
1960 SovietRxiv: ru-196001.41971

This paper develops for groups an analogue of the Baer and McCoy radical from associative ring theory, using commutators in place of multiplication. It defines prime normal divisors and prime groups, characterizes the existence of prime normal divisors by nonterminating commutator sequences, and rel…