Showing 50 of 25456 papers

On the Question of Supercharging Carburetor Engines

A. M. Bakaleinik
1957 SovietRxiv: ru-195701.08460

This paper examines the use of supercharging as a means of increasing the power of carburetor automobile engines when further gains from compression ratio become limited. Using a theoretical ideal cycle with forced ignition, it calculates cycle temperatures, pressures, filling coefficients, mean ind…

On the determination of hysteresis energy losses in shafts

V. K. Nechaev, A. T. Bolgov
1957 SovietRxiv: ru-195701.08459

This article addresses the difficulty of estimating hysteresis energy losses in steel shafts used in torsional vibration calculations when material-specific damping data are unavailable. It describes an experimental apparatus in which a vertically suspended shaft with a flywheel is excited into reso…

On the Dependence of the Characteristics of Damping Forces in Motor Installations on the Moment of Inertia of the Flywheel

A. T. BOLGOV
1957 SovietRxiv: ru-195701.08457

This article examines how estimated damping characteristics for torsional vibrations in motor installations with reciprocating internal-combustion engines depend on the moment of inertia of a flywheel and on the order of resonance. Experiments were conducted on a laboratory installation consisting o…

On the relationships between the damping characteristics of torsional vibrations and certain parameters of a motor installation

V. K. Nechaev
1957 SovietRxiv: ru-195701.08455

This paper examines how generalized damping coefficients for torsional vibrations in piston-engine powerplants depend on design and vibration parameters, including shaft stiffness, moments of inertia, vibration-node position, natural frequency, and installation scale. Using previously derived relati…

Hydrogenolysis of Furan Homologs on a Platinum Catalyst

N. I. SHUIKIN and I. F. BEL’SKII
1957 SovietRxiv: ru-195701.08360

This study examines the vapor phase hydrogenolysis of alpha-substituted furan homologues over a platinized charcoal catalyst, with attention to how the length of the alkyl side chain affects ring cleavage. A series of alpha-alkylfurans from methyl to n-amyl derivatives was prepared and hydrogenated …

Thermal Decomposition of Cellulose and Its Structure

Unknown
1957 SovietRxiv: ru-195701.08324

This study examines the thermal decomposition of cotton cellulose at 300°C in vacuum, focusing on changes in degree of polymerization and levoglucosan formation. Cellulose samples of different initial polymerization degrees were heated for controlled intervals, after which decomposition products and…

MEASUREMENT OF PRESSURE IN THE UPPER ATMOSPHERE

V. V. Mikhnevich
1957 SovietRxiv: ru-195701.08200

The use of a container makes it possible to significantly reduce the disturbing effect of the body on the medium (gas release, disturbance of the ambient air temperature, etc.). This paper describes the instrumentation and the results of pressure measurements in the upper layers of the atmosphere (5…

Approximate Dispersion Relations for Nucleon-Nucleon Scattering

V. Z. BLANK** and **P. S. ISAEV
1957 SovietRxiv: ru-195701.08145

This paper develops approximate dispersion relations for nucleon nucleon scattering intended to avoid unobservable antinucleon nucleon amplitudes appearing in exact formulations. Starting from a standard dispersion relation, the authors neglect antinucleon contributions, include the deuteron interme…

Study of the Properties of $\mathrm{O}$-Peptides of $\beta$-Hydroxy Amino Acids. On the Enzymatic Synthesis of Peptides from $\mathrm{O}$

M. M. Botvinnik and S. M. Abaeva
1957 SovietRxiv: ru-195701.08017

This study examines whether O-peptides of beta-hydroxyamino acids can act as amino acid residue carriers in enzymatic peptide synthesis. N-benzoyl derivatives of O-benzoylphenylalanyl serine, O-benzoylphenylalanyl threonine, and O-hippuryl serine were reacted with ethyl glycinate, with comparisons a…

ON OPERATORS REALIZABLE IN LOGICAL NETWORKS

Unknown
1957 SovietRxiv: ru-195701.07697

This paper studies operators without anticipation on finite input and output alphabets, with special attention to those realizable by logical networks with feedback and delay. It formalizes the weight of such an operator as the minimal size of its auxiliary alphabet, interprets its logarithm as memo…

Synthesis of methylheptenone and methylheptadienone

Academician I. N. Nazarov, L. A. Yanovskaya, B. P. Gusev, S. S. Yufit,
1957 SovietRxiv: ru-195701.07685

This paper examines preparative routes to methylheptenone and methylheptadienone, intermediates used in the synthesis of isoprenoid fragrance compounds. The authors compare condensation of prenyl halides with acetoacetic ester, direct reaction of dimethylvinylcarbinol with acetoacetic ester, and pyr…

THE THEORY OF INFORMATION TRANSMISSION THROUGH STOCHASTIC COMMUNICATION CHANNELS

We shall denote the channel specified by these elements by
1957 SovietRxiv: ru-195701.07683

This paper develops a measure theoretic formulation of information transmission through stochastic communication channels fed by stochastic sources. It defines channels with and without anticipation, finite memory, channel entropy relative to an input source, regular sources and channels, and regula…

Quadrature-Free Nomography

Let, for the given equation,
1957 SovietRxiv: ru-195701.07590

This paper addresses the construction and recognition of quadrature-free nomograms for equations of the form \(z = F(x,y)\), using Massau determinants for aligned-point nomograms. It derives algebraic procedures for determining the scale functions by comparing derivatives of the original equation wi…

On a boundary value problem with conditions on the entire boundary for a hyperbolic system equivalent to the string vibration equation

N. N. VAKHANIYA
1957 SovietRxiv: ru-195701.07477

This paper studies a boundary value problem in a rectangle for a first order hyperbolic system equivalent to the vibrating string equation, with a linear boundary condition prescribed on the entire boundary. For rational side ratio, Sobolev’s method is extended by using closed reflected characterist…

Study of the interaction of phosphorous acid esters with alkyl halides by methods of physicochemical analysis

B. A. ARBUZOV and A. V. FUZHENKOVA
1957 SovietRxiv: ru-195701.07430

This study examines the mechanism of the A. E. Arbuzov rearrangement, focusing on whether aliphatic phosphites form intermediate phosphonium-type addition products during reaction with alkyl halides. Using physicochemical composition, property diagrams, the authors measured refractive index, density…

Synthesis of Analogs of Methylheptenone and Methylheptadienone

Academician I. N. Nazarov, S. M. Makin, V. B. Mochalin, D. V. Nazarova,
1957 SovietRxiv: ru-195701.07266

This paper reports syntheses of analogs of methylheptenone and methylheptadienone as intermediates for preparing analogs of natural isoprenoid compounds such as linalool, geraniol, citral, farnesol, and ionone. The authors prepare tertiary vinyl and acetylenic alcohols and convert them by several ro…

Effect of Perchlorate Salts on the Polymerization of Styrene

Unknown
1957 SovietRxiv: ru-195701.07209

This study examines the influence of potassium, ammonium, barium, and magnesium perchlorates on styrene polymerization over a range of temperatures, prompted by the observation that styrene stored over anhydrous magnesium perchlorate formed polystyrene. Using sealed ampoules and stirred inert-gas re…

On strongly minimal surfaces of a Riemannian space

D. V. BEKLEMISHEV
1957 SovietRxiv: ru-195701.07199

This note introduces strongly minimal surfaces, a class of even-dimensional minimal submanifolds of a Riemannian space defined by special relations between the second fundamental object and the metric tensor. It derives necessary tensorial conditions involving odd mean curvatures, observes that ordi…

Application of Chaplygin's Method to Solving the Characteristic Cauchy Problem for a Second-Order Hyperbolic Partial Differential Equation

G. A. ARTEMOV
1957 SovietRxiv: ru-195701.07179

This note extends a Chaplygin-type differential inequality theorem to the characteristic Cauchy problem for the hyperbolic equation \(u_{xy}=f(x,y,u,p,q)\), where data for \(u\) are prescribed on the intersecting characteristics \(x=x_0\) and \(y=y_0\). Under continuity, differentiability, and monot…

On the Theory of Optimal Processes in Linear Systems

R. V. GAMKRELIDZE
1957 SovietRxiv: ru-195701.07176

This note studies minimum-time control for a finite-dimensional linear differential system with one scalar control bounded in absolute value by one. Under a nondegeneracy condition excluding reduction to a lower-dimensional invariant subspace, it derives necessary equations for optimal controls and …

Estimation of the Number of Signals in Error-Correcting Codes

R. R. VARSHAMOV
1957 SovietRxiv: ru-195701.07174

This paper studies binary error-correcting codes as subsets of the vector space over the field with two elements, with Hamming distance used to characterize correction of a fixed number of errors. It improves a known sufficient condition for constructing \(2^m\) codewords of length \(n=m+k\) and min…

Some Reactions of 1,4-Dichlorobutanone-2

Unknown
1957 SovietRxiv: ru-195701.06959

The study examines the reaction of 1,4-dichlorobutanone-2 with potassium acetate in acetic acid and clarifies the pathway leading to 1-chloro-4-acetoxybutanone-2. Through trapping experiments with cyclopentadiene and 1,1′-dicyclohexenyl, as well as independent addition reactions of acids to chlorome…

On the Combinatorial Invariance of Pontryagin Classes

V. A. ROKHLIN and A. S. SHVARTS
1957 SovietRxiv: ru-195701.06846

This paper proves the combinatorial invariance of the reduced Pontryagin classes of smooth closed manifolds under homeomorphisms induced by isomorphisms of their \(C^1\)-triangulations, and derives equality of Pontryagin numbers for orientable manifolds with such triangulations. The proof reduces th…

A Generalization of M. G. Krein's Theorem

I. V. OSTROVSKII
1957 SovietRxiv: ru-195701.06823

This note generalizes a theorem of M. G. Krein on the growth of meromorphic functions representable as sums of simple fractions with prescribed summability conditions on poles and residues. Removing Krein’s assumption that the function has no zeros, it proves an asymptotic estimate for the Nevanlinn…

On the Mechanism of Ion Exchange

V. I. GORSHKOV and G. M. PANCHENKOV
1957 SovietRxiv: ru-195701.06752

This paper proposes a mechanism for cation exchange in ion exchange resins based on ion association between fixed anionic groups and exchangeable cations, treating the process as an equilibrium between associated ion pairs and dissociated ions. The authors derive an expression for the exchange const…

On the problem of analytic continuation of principal solutions of a hyperbolic-type equation with singular coefficients

M. B. KAPILEVICH
1957 SovietRxiv: ru-195701.06731

This paper studies analytic continuation of principal solutions for a hyperbolic equation with a regular singular line and coefficients expandable in odd powers of the distance to that line. Using majorant principal solutions from a previously solved special case, it establishes existence, uniquenes…

A New Reaction for the Replacement of an Alcoholic Hydroxyl with Fluorine and Its Application

A. I. TITOV, G. N. VEREMEEV, V. V. SMIRNOV, and O. D. SHAPILOV
1957 SovietRxiv: ru-195701.06654

This paper reports a one-stage method for replacing alcoholic hydroxyl groups with fluorine by treating alcohols with a sulfonyl fluoride and potassium fluoride. The authors propose and support a mechanism involving alcoholate formation, acylation to an alkyl sulfonate, and subsequent alkylation of …

ON THE APPLICATION OF THE METHOD OF MOMENTS AND THE “MIXED” METHOD TO THE APPROXIMATE SOLUTION OF SINGULAR INTEGRAL EQUATIONS

Thus, let the equation be given
1957 SovietRxiv: ru-195701.06647

This paper justifies two approximation procedures, the method of moments and a mixed collocation type method, for singular integral equations on the unit circle. It first treats the characteristic equation in Hilbert and related function spaces, using polynomial approximations and associated algebra…

The First Boundary Value Problem for a Nonlinear Second-Order Elliptic Equation in a Bounded Domain with Degenerate Boundary

Unknown
1957 SovietRxiv: ru-195701.06414

This note studies the first boundary-value problem for quasilinear elliptic equations arising as Euler-Lagrange equations of variational functionals on bounded domains whose boundary may include lower-dimensional manifolds and points. Using Sobolev embedding for \(p>n\), lower semicontinuity, and un…

Polymerization of Unsaturated Organogermanium Compounds

Corresponding Member of the USSR Academy of Sciences V. V. Korshak, A. M. Polyakova,
1957 SovietRxiv: ru-195701.06269

This study examines the polymerization behavior of unsaturated organogermanium compounds, a class for which prior synthesis and polymerization data were lacking. Mono-, di-, and tri-allylgermanes, as well as methallyl derivatives, were polymerized or copolymerized with methyl methacrylate under high…

Metallochemical Table of the Chemical Elements

I. I. KORNILOV
1957 SovietRxiv: ru-195701.06205

This paper proposes a metallochemical table of the chemical elements for classifying interactions between metals and between metals and metalloids in alloy formation. Using the periodic position, electronic structure, atomic and ionic radii, and structural similarity of elements, it distinguishes fa…