Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.3
/ Publications / Scientific Journals
Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.3

DOKLADY OF THE ACADEMY OF SCIENCES OF BELARUS
(Doklady Akademii Nauk Belarusi)Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus

CONTENTS
MATHEMATICS
BenyashKrivets V.V., Chernousov V.I.
On the varieties of twodimensional representations of the fundamental groups of surfaces. pp. 59
Summary: For the fundamental group Ã_{g} of the compact nonorientable surface of genus g the structure of the two dimensional representation variety is described.
Bernik V.I., Dodson M.
The exact order of zero approximation by values of integral polynomials of complex variable. pp. 1013
Summary: For the curve G=(z^{m}, z^{n}), z Î C, n£m, the complete analogy of the famous theorem of A.Khinchine in the metric theory of diophantine approximations is proved.
Kovalevskaya E.I.
Simultaneous approximation and the effective estimate for the measures of the sets with the given diophantine properties. pp. 1417
Summary: The effective estimate for Lebesgue measure of the points on the smooth manifolds simultaneously well approximated by rational numbers is obtained.
Metelsky N.N., Martynchik V.N.
The cone of convexity directions for closed sets in R^{n}. pp. 1820
Summary: Vector n Î R^{n} is called a direction of convexity for a set X Ì R^{n} if for any point x_{o} the intersection of line x = x_{o} + l n, l Î R, and X is empty or connected. The cone of convexity directions for a closed set in R^{n} is described. A relation of the cone of convexity directions for a polygonal region to the structure of its border is under research. Complexity bounds for computing the cone are obtained.
Lepin V.V.
Complexity of nondeterministic algorithms for front constrained problems. pp. 2125
Summary: Frontwidth constraints on problems: 3SATISFIABILITY, HAMILTONIAL CIRCUIT and PEBBLE are considered. We show that 3SATISFIABILITY, when restricted to nclause collections of frontwidth f(n), is in the complexity class NTISP(poly, f(n)); HAMILTONIAL CIRCUIT for nvertex graphs of frontwidth f(n) is in the class NTISP(poly, f(n) log f(n)); and PEBBLE for nvertex graphs of frontwidth f(n) is in the class NSPACE(f(n) log^{2}n).
Metelsky Yu.M., Tyshkevich R.I.
Line graphs of linear 3uniform hypergraphs. pp. 2630
Summary: In the paper it is proved that there is a finite list A of graphs such that any graph G with minimum degree at least 19 is the line graph of a linear 3uniform hypergraph if and only if none of the members of A is an induced subgraph of G.
Zverovich E.I.
On the problem of the linear conjugation for analytic functions in a bidisk. pp. 3135
Summary: The problem of finding two functions j(z) and y(w) analytic on the discs z<1 and w<1 respectively which satisfy the functional equation is considered: a(z) j(z) + b(w) y(w) = c(z, w), (z, w) Î W, where W is a Riemann surface defined by the nonreducible algebraic correspondence A(z,w)= 0. For the investigation of this problem is proposed a method based on the global uniformization of the correspondence A(z,w) = 0.
Marchenko V.M., Yakimenko A.A.
On the distribution of quasipolynomial roots. pp. 3641
Summary: The situation of the roots of the quasipolynomial l + a_{1} + a_{2} e^{ lh} + a_{3} l e^{ lh} with respect to its coefficients is studied.
Rovba Je.A.
Quadrature formulae of interpolationrational type. pp. 4246
Summary: Quadrature formulae of Gaussian type are introduced with the help of interpolated rational functions. Remainder estimates have been obtained in the class of continuons functions.
PHYSICS
Bogush A.A., Otchik V.S.
On the motion of a charged particle in the field of two remote coulomb centres. 4751
Summary: For the two Coulomb centres problem with large intercentre separation, a new relation between solutions of the Schroedinger equation is found as a limit of the corresponding relation for the similar problem in the Lobachevsky space. As an application, the expression for the term splitting at a pseudocrossing is obtained.
Kudryashov V.V.
Quasiharmonic approximation for solution of the twodimensional Schroedinger equation. pp. 5255
Summary: The method for obtaining the approximate solutions of the twodimensional Schroedinger equation with an arbitrary smooth potential which does not allow separation of variables is proposed. The approximation is constructed with the employment of a new procedure of a transition from known solutions in the neighbourhood of a fixed point to solutions in the whole twodimensional space.
Olekhnovich N.M., Pushkarev A.V.
Birefringence and depolarization phenomena of Xray manywave scattering in Laue case for highly distorted crystals. pp. 5660
Summary: The birefringence and depolarization effects of the transmitted beam in Laue case manywave Xray diffraction for highly distorted crystals were revealed. The characteristics of these effects were found to depend on the turn angle of the polarization vector of the incident beam.
Virchenko V.A., Kuzmin V.S., Tkachenko T.M., Shablovsky A.V.
Temperature dependence of quadrupole splitting of ^{57}Fe Moessbauer spectra in high temperature superconductor. pp. 6165
Summary: Direct experimental proof of adequacy of the unharmonically unstable oxygen atom's sublattice model in the YBa_{2}Cu_{3x}Fe_{x}O_{7y} base high temperature superconductor was received on the bases of temperature dependence of Quadrupole Splitting of Moessbauer spectra.
Ryzhkovsky V.M., Dymont V.P., Yerofeenko Z.L., Nekrashevich E.M.
The magnetic ordering in the solid solutions Mn_{2x}Fe_{x}Sb (0.05 £ x £ 0.7). pp. 6669
Summary: The solid solutions of the Mn_{2x}Fe_{x}Sb (0.05 £ x £ 0.7) system with the Cu_{2}Sbtype crystal structure have been obtained. The specific magnetization vs temperature has been investigated. The model of magnetic ordering Fe and Mn in this system is proposed.
Dailyudenko V.F., Krot A.M.
The localtopological method of determining the minimal embedding dimension of the chaotic attractor. pp. 7075
Summary: The new topological method for determination of minimal embedding dimension of the chaotic attractor is proposed. It is shown that the suggested method makes it possible to reduce by an order the quantity of the required experimental data. to spare essentially computer resources and provides a good convergence of the calculation process and reliable definition of the minimal embedding dimension value.
CHEMISTRY
Krutko N.P., Opanasenko O.N., Ovseenko L.V., Starostina O.I.
The regulation of colloidchemical properties of cationic surfactants. pp. 7680
Summary: The colloidchemical properties of the aqueous solution of longchain aliphatic amines and their oxyethylene derivatives have been investigated by the tensiometric and viscosimetric methods. The correlation between the structure of surfactant molecules and their behavior in solution has been established that makes it possible to predict the possibility of application of different surfactants for emulsification of various hydrocarbons changing their hydrophiliclypophilic balance by regulation of the polyoxyethylene chain length.
Potkin V.I., Zapolsky V.A., Nechai N.I., Kaberdin R.V.
Synthesis of polyfunctional heterocyclic derivatives of nitrohalogenbutadienes. pp. 8185
Summary: Synthesis of different nitrogencontaining polyheterocyclic systems occurred by use of 2nitroperhalogenbutadiene derivatives.
BIOLOGY
Konoplya E.F., Bagel I.M., Shafranovskaya E.V.
The influence of lowdose ionizing radiation on Ca^{2+}ATPase activity of sarcoplasmatic reticulum membrane of skeletal muscle. pp. 8689
Summary: An external gammairradiation with doses of 0.25 and 0.5 Gy results in an increase in Ca^{2+}ATPase activity in SR of skeletal muscle, while 1 Gy exposure at early terms increases enzyme activity, but later on decreases it. The alterations revealed indicate disturbances of structural and metabolic processes in SR membranes which are redoubled with dose load increase.
Chirkin A.A., Pristavko V.T., Chirkina A.A.
Integral characteristic of blood plasma lipid transport system in radiationinduced dyslipoproteinemia development. pp. 9093
Summary: Mathematical characteristics of blood plasma lipid transport system (LTS) of rats exposed to 0.25  5.0 Gy radiation are given. Radiationinduced transitory dyslipoproteinemia is described by means of integral indices of direct and reverse cholesterol transport and integral index of LTS. Mathematical apparatus for calculating integral indices is worked out.
EARTH SCIENCES
Bulkin Yu.S., Makhnach A.S.
Metallogenic specialization of granitoids from the Mostovsky and Vygodsky massives of Belarus. pp. 9497
Summary: On the basis of geochemical study it is shown that rare metal orebodies, particularly the molybdenite ones, can he found within the Mostovsky and Vygodsky granitoid massives of Belarus. Areas for ore prospecting are suggested.
Kruchek S.A., Obukhovskaya T.G., Golubtsov V.K.
New evidence for the Upper Devonian Rechitsa deposits in the Belarus area. pp. 98103
Summary: The Rechitsa horizon deposits of the Frasnian stage of the Devonian are represented by three section types: normalsedimantary showing a wide occurrence; volcanogenicsedimentary confined to volcanic pipe calderas (diatremes); volcanogenic associated with volcanic pipes without calderalike depressions. The above deposits were formed under continental and marine conditions.
Kiselev P.A.
The assessment of the underground fresh water zone capacity in waterbearing complexes of various tectonic structures. pp. 104107
Summary: The equations for revealing the existence of interaction between fresh and mineralized underground waters were proposed. Evaluation of this interaction was fulfilled in the central part of Belarus.
Pap A.M.
On granitization of the Okolovo series rocks. pp. 108111
Summary: Granitization of the Okolovo series rocks displayed in less degree and at later stage than in the Shchuchin gneisses that gives the possibility to recognize the primary origin of the Okolovo series rocks.
TECHNICAL SCIENCES
Boiko B.B., Zubovich G.K., Uvarova N.N., Shipilo V.B.
Disposal of graphite from synthetic diamond powders by pulse laser radiation. pp. 112114
Summary: The possibility of selective disposal of graphite from the diamondgraphite mixer by the action of IRlaser radiation pulses has been proved experimentally.
Veinik A.I., Komlik S.F.
The influence of crown discharge on the cast crystallization process. pp. 115116
Summary: Structure and mechanical properties of metal at hardening of cast near crown discharge are shown to change.
Soika A.K., Vashkevich I.M.
Forming pulses of strong magnetic fields in discharge vibratory circuits. pp. 117121
Summary: The paper describes a new method for forming pulses of strong magnetic fields in discharge oscillator circuits distinguished from the known ones by its exceptional engineering simplicity, universal character and reliability.
/ Publications / Scientific Journals / Back to Top of Page
Designed and maintained by Dr. Nikolai N. Kostyukovich. Last updated: January 30, 1999
Created with assistance of Dr. Ignatii I. Korsak
Copyright © 19971999 The National Academy of Sciences of Belarus
Copyright © 1996 The Belaruskaya Navuka Publishing House