Showing 50 of 25357 papers

Temperature Regime of Parts of Electrotechnical Devices Cooled by Radiation

V. V. Ivanov, A. V. Furman
1968 SovietRxiv: ru-196801.09312

This paper addresses the nonstationary temperature field in electrotechnical components whose heat is removed predominantly by radiation, a case complicated by the nonlinear Stefan-Boltzmann boundary condition. Using a solid circular coil with internal Joule heating as the model problem, it proposes…

On the Problem of Heat Transfer Through Straight Fins Under Conditions of Intensive Heat Exchange

A. A. GURCHENOK, A. F. FEDOROV
1968 SovietRxiv: ru-196801.09310

This paper examines heat transfer through straight rectangular fins under intensive heat exchange, where conventional one-dimensional fin formulas may become inaccurate because temperature varies across the fin and along the smooth base surface. The authors formulate a two-dimensional temperature-fi…

Determination of the Cooling Ratio in Steam Turbine Installations During the Design of Thermal Power Plants

E. N. Shadrin, G. F. Shilin
1968 SovietRxiv: ru-196801.09309

This paper develops a techno-economic method for selecting the cooling ratio of steam turbine condenser installations during thermal power plant design. It formulates the optimum as the cooling ratio that minimizes the variable annual production costs, including fuel use, electricity for circulating…

Selection of the Optimal Heat Carrier Velocity in Water Heating Networks

E. N. Shadrin, N. A. Popov
1968 SovietRxiv: ru-196801.09308

The paper addresses the selection of economically optimal heat carrier velocity in water heat networks, criticizing the use of standardized or average specific head losses that may lead to excessive pipeline capital costs or pumping expenses. It develops a techno economic calculation in which annual…

On the Determination of the Reaction Properties of Solid Fuels in a Pulverized Fuel-Air Flow at Different Stages of Burnout

E. A. KONKOV, I. K. LEBEDEV
1968 SovietRxiv: ru-196801.09307

This paper examines how the reactive properties of solid fuels change during pulverized fuel combustion, with emphasis on brown coals from the Kansk-Achinsk basin. The authors use a vertically oriented tubular furnace with a thermally stabilized, ballast-diluted pulverized coal-air stream to obtain …

Evaporator-Generators of Steam Power Plants with Adiabatic Vaporization

S. V. Polozhii
1968 SovietRxiv: ru-196801.09304

This paper examines evaporator-generators as the defining component of steam power plants using adiabatic vaporization, emphasizing their potential economic and thermodynamic advantages over conventional high-pressure boiler and turbine systems. Drawing on theoretical analysis, prior experiments on …

Steam-power cycles with adiabatic vaporization

S. V. Polozhii
1968 SovietRxiv: ru-196801.09303

The paper argues that further improvement of conventional steam power plants through very high and supercritical steam parameters faces technical and economic limits, while low pressure installations remain inefficient despite their operational simplicity. It proposes steam power cycles with adiabat…

ON MINIMAL HAUSDORFF SPACES AND \(T_1\)-BICOMPACTS

Unknown
1968 SovietRxiv: ru-196801.09286

This note studies conditions under which Hausdorff spaces can be strengthened to minimal Hausdorff spaces and examines related properties of non-Hausdorff T1-bicompact spaces. It proves that a Hausdorff space which is a countable union of nowhere dense bicompact subsets and is densely embedded in a …

CERTAIN ANOMALIES IN THE TEMPERATURE DEPENDENCE OF THE THERMAL DIFFUSE SCATTERING OF X-RAYS BY NICKEL

S. V. Semenovskaya, Ya. S. Umanskii, M. Ya. Fishkis
1968 SovietRxiv: ru-196801.09218

Diffuse X-ray scattering by a nickel single crystal was measured over a temperature range including the ferromagnetic Curie point to examine lattice-deformation effects associated with magnetization fluctuations and magnetostriction. Intensities were recorded near reciprocal-lattice node 220 along t…

DIFFUSION AND TRANSFER OF EXCITATION

P. L. Pakhomov, I. Ya. Fugol'
1968 SovietRxiv: ru-196801.09213

This paper examines diffusion and excitation transfer in collisions between metastable and normal helium-3 atoms, focusing on the role of long-range interaction potentials whose theoretical forms were uncertain. Empirical symmetric and antisymmetric potential-energy curves were constructed to fit av…

ON AXISYMMETRIC FLOWS WITH A FREE BOUNDARY

A. Iglicov
1968 SovietRxiv: ru-196801.09212

This paper studies an axisymmetric ideal incompressible flow with a free boundary in the upper half-plane, where the velocity field satisfies a generalized analytic equation, has a prescribed simple pole, is tangent to the boundary, and has constant modulus on the boundary. The problem is reduced by…

MINIMAXITY OF HOTELLING’S \(T^2\)-TEST

O. V. Shalaevskii
1968 SovietRxiv: ru-196801.08755

This paper studies the minimaxity of Hotelling’s \(T^2\)-test for testing a zero mean vector in a multivariate normal population with unknown covariance matrix, against alternatives specified by a fixed or lower-bounded noncentrality parameter. The argument reduces the minimax problem, within an inv…

SCATTERING OF A PLANE WAVE BY A SINGULAR POTENTIAL

A. A. Arsen'ev
1968 SovietRxiv: ru-196801.08667

This paper studies stationary quantum scattering of a plane wave in Euclidean space of dimension at least three by a nonnegative potential that may be infinite on a set of positive measure, a case not covered by standard Lippmann-Schwinger methods for integrable potentials. The approach replaces the…

STUDIES OF THE STRUCTURE OF THE VALENCE BAND OF INDIUM ARSENIDE

Yu. M. Burdukov, U. Jumaqulov, Yu. I. Ukhanov
1968 SovietRxiv: ru-196801.08623

The study examines the valence-band structure of p-type indium arsenide using infrared reflection and absorption spectra for zinc-doped single crystals with hole concentrations from 1.6 x 10^17 to 4.9 x 10^19 cm^-3 at 300 and 100 K. Plasma minima in reflection spectra were used to estimate averaged …

ON THE FUNDAMENTAL THEOREM OF HOMOLOGICAL DIMENSION THEORY

P. Aleksandrov
1968 SovietRxiv: ru-196801.08457

This note proves a fundamental theorem of homological dimension theory for bicompact spaces, and hence for normal spaces via the maximal bicompact extension. The argument gives a simplified formulation using only cycles and homology on finite simplicial complexes, avoiding inverse limits, and relies…

ON THE GAME ENCOUNTER OF MOTIONS

N. N. Krasovskii
1968 SovietRxiv: ru-196801.08455

The paper studies a linear differential game of pursuit and evasion in which two motions have identical dynamics, bounded controls with the pursuer’s bound larger than the evader’s, and encounter is defined by equality of prescribed coordinates. It formulates an extremal aiming control for the pursu…

THE FUNDAMENTAL MATRIX OF SOLUTIONS OF A SYSTEM OF THE SPECTRAL PROBLEM OF HEAT AND MASS TRANSFER

M. L. Rasulov
1968 SovietRxiv: ru-196801.08443

This note studies the spectral system associated with a three-component parabolic heat and mass transfer equation with constant coefficient matrix. It constructs the fundamental matrix of solutions for the system A Delta u minus lambda squared u equals 0 under the parabolicity assumption, expressing…

RAYLEIGH WAVES IN CADMIUM SULFIDE CRYSTALS

I. A. Viktorov
1968 SovietRxiv: ru-196801.08396

This paper develops a theoretical treatment of plane harmonic Rayleigh waves propagating along the surface of a cadmium sulfide crystal bordering vacuum, with piezoelectric coupling, finite conductivity, and electron diffusion included. Starting from the elastic, piezoelectric, Poisson, current, and…

CRYSTAL STRUCTURE OF THE NEW NATURAL BORATE VIMSITE Ca[B₂O₂(OH)₄]

D. P. Shashkin, M. A. Simonov, N. V. Belov
1968 SovietRxiv: ru-196801.07969

The paper determines the crystal structure of the newly identified natural calcium borate vimsite, using single-crystal X-ray diffraction, Patterson and Fourier syntheses, and least-squares refinement in the monoclinic space group C2/c. The refined model gives the formula Ca[B2O2(OH)4], with calcium…

ABSORPTION, LUMINESCENCE, AND INDUCED EMISSION OF $\mathrm{LiNbO_3}$—$\mathrm{Nd^{3+}}$ CRYSTALS

L. I. Ivleva, A. A. Kaminskii, Yu. S. Kuz'minov, V. N. Shpakov
1968 SovietRxiv: ru-196801.07815

This paper examines the spectroscopic and laser properties of Nd3+ activated LiNbO3 crystals, a nonlinear optical material considered as a potential host for optical quantum generators. Using absorption, luminescence, and stimulated emission measurements at 77 K and 300 K on Czochralski-grown polydo…

SPACES OF TEST AND GENERALIZED FUNCTIONS OF EXPONENTIAL TYPE

S. S. Sannikov
1968 SovietRxiv: ru-196801.07801

The paper introduces spaces of test and generalized functions of exponential type, motivated by applications to infinite-dimensional representations of compact Lie groups and to operators of the form with exponential spectral weights. It defines these spaces through countable Hilbert norms on sequen…

ON A POSTERIORI ERROR ESTIMATES

M. A. Krasnosel'skii
1968 SovietRxiv: ru-196801.07445

The paper develops a posteriori error estimates for approximate solutions of nonlinear operator equations in Banach spaces, interpreting an error bound as an existence result for an exact solution in a ball around the approximation. It first recalls standard estimates based on invertibility of the l…

Diffusion of Tensors

Unknown
1968 SovietRxiv: ru-196801.07083

Dynkin studies how a diffusion process on a smooth manifold with an affine connection induces a diffusion process on the bundle of tensors of arbitrary valence. The paper defines stochastic parallel transport along sample paths using Itô stochastic differential equations, derives the associated tens…

SOURCES OF LOSSES IN QUANTUM GENERATORS BASED ON ORGANIC DYES

B. I. Stepanov
1968 SovietRxiv: ru-196801.06955

This paper analyzes energy losses in quantum generators based on organic dye solutions, extending earlier calculations for monochromatic pumping by including absorption from excited states to higher electron-vibrational levels. A rate-based model is developed for a transverse generator to estimate p…

ON THE IDENTITY PROBLEM FOR FINITELY PRESENTED SEMIGROUPS

V. A. Osipova
1968 SovietRxiv: ru-196801.06722

The paper studies the identity problem for finitely presented semigroups whose defining words satisfy a half-overlap restriction, formulated as the class K_{1/2}. It introduces normal decompositions of words and uses a sequence of lemmas to prove that, in this class, every word is equal in the semig…

EXTENSION OF RECURSIVE HIERARCHIES AND \(R\)-OPERATIONS

V. I. Amstislavskii
1968 SovietRxiv: ru-196801.06360

This paper studies extensions of recursive hierarchies beyond the constructive second class of ordinal notations using Kolmogorov type R-operations. It defines iterated bases and associated classes of sets of natural numbers, proves closure and separation properties for these classes, and shows that…

ON THE MECHANISM OF THE POLYMORPHIC TRANSITION FROM THE CRYSTALLINE STATE TO THE ROTATION-CRYSTALLINE STATE

Yu. V. MNYUKH, N. I. MUSAEV
1968 SovietRxiv: ru-196801.05957

This paper investigates the mechanism of polymorphic transitions from an ordered crystal to a rotational crystalline, or plastic crystal, state, using carbon tetrabromide and hexachloroethane as model substances. Through microscopic observation and measurements of transition temperature delays, the …

ON DIRECTIONAL DIFFERENTIATION OF A MAXIMIN FUNCTION

Unknown
1968 SovietRxiv: ru-196801.05726

This paper studies directional differentiability of maximin functions of the form defined by maximizing over one variable after minimizing over another, with dependence on a parameter. In finite-dimensional settings, it gives formulas for the one-sided directional derivative with respect to the para…

APPLICATION OF THE NONEQUILIBRIUM STATISTICAL OPERATOR IN THE THEORY OF ENERGY EXCHANGE BETWEEN TWO SUBSYSTEMS

L. A. Pokrovskii
1968 SovietRxiv: ru-196801.05102

This paper examines whether the nonequilibrium statistical operator method can describe nonlinear relaxation processes far from equilibrium, using energy exchange between two dilute gases at substantially different temperatures as a test case. A stationary nonequilibrium statistical operator is cons…

ALGEBRA OF MESON CURRENTS

V. P. Shelest
1968 SovietRxiv: ru-196801.05099

This paper examines whether meson current algebra can be derived within a definite composite-particle model rather than assumed as a postulate. Using the model of free effective quarks, it constructs nonrelativistic and relativistic matrix elements of internal meson currents, applies Markov-Yukawa c…

THEORY OF ELASTICITY AND THE DEFORMATION THEORY OF PLASTICITY FOR SOLIDS WITH DIFFERENT PROPERTIES IN COMPRESSION, TENSION, AND TORSION

V. M. Panferov
1968 SovietRxiv: ru-196801.05025

This paper formulates elasticity and deformation plasticity relations for homogeneous isotropic solids whose mechanical properties differ in uniaxial compression, uniaxial tension, and torsion, while allowing small elastoplastic strains and temperature dependence. Constitutive laws are proposed for …

SCATTERING AMPLITUDES WITH REARRANGEMENT AT LOW ENERGIES

A. M. Brodskii, V. G. Levich, V. V. Tolmachev
1968 SovietRxiv: ru-196801.04812

This paper develops a quantum mechanical formulation for low energy scattering processes with rearrangement, where the kinetic energy of outgoing fragments is small relative to excitation energies of higher internal states. Using projection operators onto a finite set of bound internal states, the a…

ON THE THEORY OF CONVERGENCE OF APPROXIMATE SOLUTIONS OF AN OPERATOR EQUATION

Yu. E. Boyarintsev, V. G. Vasil'ev
1968 SovietRxiv: ru-196801.04416

The paper studies convergence of approximate solutions to a linear self-adjoint operator equation in a Hilbert space, with attention to ill-posed cases and perturbations of both the operator and the right-hand side. Under assumptions controlling approximation errors, components along null eigenvecto…

MINIMIZATION OF OXIDATION

A. Ya. Lerner, S. A. Malyi
1968 SovietRxiv: ru-196801.04050

This paper considers the optimal control problem of minimizing oxidation or decarburization of a metal surface during heating while satisfying prescribed initial and final mass-average temperatures. It represents several empirical oxidation laws in a general differential form and applies Pontryagin’…

WEIGHTED CUBATURE FORMULAS

V. I. Polovinkin
1968 SovietRxiv: ru-196801.03931

This note extends Sobolev’s results on asymptotically optimal cubature formulas from constant weights to weight functions square integrable on a bounded domain. It defines uniformly distributed interpolation operators on regular lattices and proves an error estimate in the dual Sobolev space, showin…