A. T. Tarabanovskii
The paper describes the design and calculation of conductometric concentration meters for regeneration solutions used in chemical water treatment, based on a flow-through sensor with cylindrical stainless-steel electrodes and an unbalanced alternating-current bridge circuit. Using calibration data f…
V. V. Ivanov, A. V. Furman
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…
A. A. GURCHENOK, A. F. FEDOROV
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…
E. N. Shadrin, G. F. Shilin
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…
E. N. Shadrin, N. A. Popov
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…
E. A. KONKOV, I. K. LEBEDEV
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 …
S. V. Polozhii
This paper reviews the state of research on adiabatic vaporization and argues for its recognition as an independent scientific and technical field, particularly for power engineering applications. It summarizes distinctive features of the process, including conversion of heat drop into kinetic energ…
S. V. Polozhii
This paper examines the low efficiency and high fuel consumption of small industrial condensing and combined heat-and-power plants, especially those operating at low and medium steam pressures. It argues that conventional isobaric steam generation offers limited prospects for such installations, the…
S. V. Polozhii
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 …
S. V. Polozhii
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…
I. N. BUTAKOV
The paper critiques the prevailing Soviet methodology for allocating fuel consumption between heat and electricity at combined heat and power plants, arguing that it incorrectly assigns the benefits of cogeneration entirely to electric consumers. It develops a heat-balance-based allocation in which …
Unknown
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 …
L. A. Khalfin
This paper examines whether arbitrary, mutually independent mass distributions are permissible for two associatively produced unstable particles under energy and momentum conservation from stable initial to stable final states. Using the kinematic relation between the two resonance masses, it formul…
S. V. Semenovskaya, Ya. S. Umanskii, M. Ya. Fishkis
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…
P. L. Pakhomov, I. Ya. Fugol'
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…
A. Iglicov
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…
Unknown
This paper addresses the problem of deriving the observed relations among normalized Sachs electromagnetic form factors of nucleons within a relativistic quark model. It develops the model of quasi-independent quarks, treating baryons as strongly bound three-quark states with effective residual quar…
I. T. Kiguradze
The paper studies the existence of solutions on the half-line for nonlinear ordinary differential equations of order n that satisfy prescribed alternating monotonicity conditions and a limiting value at the singular endpoint t equals 0. It introduces a priori growth conditions for the right-hand sid…
O. V. Shalaevskii
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…
A. A. Arsen'ev
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…
Yu. M. Burdukov, U. Jumaqulov, Yu. I. Ukhanov
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 …
P. Aleksandrov
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…
N. N. Krasovskii
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…
M. L. Rasulov
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…
I. A. Viktorov
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…
A.-K. Yu. Abazaliev
The paper introduces two-dimensional characteristic coefficients for bivariate distribution functions relative to two fixed continuous strictly monotone one-dimensional distribution functions. It derives Fourier-type representations of a bivariate distribution in terms of these coefficients, gives s…
D. P. Shashkin, M. A. Simonov, N. V. Belov
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…
L. I. Ivleva, A. A. Kaminskii, Yu. S. Kuz'minov, V. N. Shpakov
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…
S. S. Sannikov
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…
M. A. Krasnosel'skii
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…
M. A. Rozenblat
This paper examines whether nonlinear direct-current circuits containing reactive elements can generate sustained alternating self-oscillations. Using an energy-balance argument based on Tellegen’s theorem, it analyzes circuits with constant voltage sources, nonlinear inductances, capacitances, and …
Unknown
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…
V. G. Vinokurov, B. Makhkamov
This paper studies when a measure space, in particular the trajectory space of a stochastic process constructed from finite-dimensional distributions, contains a Lebesgue subspace. It introduces dense measurable partitions and proves that the existence of a Lebesgue subspace implies the existence of…
B. I. Stepanov
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…
V. A. Osipova
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…
V. I. Amstislavskii
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…
Yu. V. MNYUKH, N. I. MUSAEV
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 …
Unknown
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…
I. I. Pleshkan
The paper develops a method for studying isochronicity of analytic planar differential systems with a center or focus type singularity at the origin. Using the complex variable formulation and a formal transformation to the linear harmonic oscillator, it derives recursive consistency conditions that…
È. M. Vaisbord, D. B. Yudin
This note studies global minimization of a generally multi-extremal, twice differentiable functional on a separable Hilbert space when only noisy function values are observed. It proposes a search process combining stochastic approximation, based on random directional finite differences, with random…
L. A. Pokrovskii
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…
V. P. Shelest
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…
V. M. Panferov
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 …
E. A. Lyubimova
This paper addresses the nonuniqueness of seismic inverse problems for determining Earth velocity sections and argues that thermal constraints can narrow the range of admissible solutions. Using the dependence of seismic-wave velocities on pressure and temperature, it derives conditions linking velo…
V. I. Rozhkov
This note studies periodic solutions of scalar neutral differential equations with a small deviating argument, continuing earlier work on initial value problems for such equations. For an equation involving a delayed state and delayed derivative, it compares the solution with an omega-periodic solut…
A. M. Brodskii, V. G. Levich, V. V. Tolmachev
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…
Yu. E. Boyarintsev, V. G. Vasil'ev
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…
A. Ya. Lerner, S. A. Malyi
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’…
V. I. Polovinkin
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…
N. H. Ibragimov
This paper studies the Lie group classification of quasilinear second-order differential equations with at least three independent variables, using equivalence transformations and the geometry of the associated Riemannian space. It derives determining equations for admitted infinitesimal transformat…