
PROBLEMS OF PHYSICS, MATHEMATICS AND TECHNICS N3 (4) 2010
PHYSICS
Kapshai V.N., Kondratjuk V.V. Scattering of electromagnetic waves on biisotropic sphere in biisotropic medium
The problem of electromagnetic wave scattering on biisotropic sphere in biisotropic medium is solved. Analytical expressions for expansion coefficients of the scattered and inner fields on the complete orthonormal system of spherical vectors are obtained. These coefficients are numerically analyzed depending on the parameters of biisotropic media. It is shown that in the particular case of gyrotropic media our results yield solutions known earlier.
Keywords: biisotropic medium, constitutive relations, Mie theory, spherical vectors, spherical waves.
V.N. Kapshai – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
V.V. Kondratjuk – Department of Automation and Information Systems, P.O. Sukhoi Gomel State Technical University, Gomel, Belarus
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Maksimenko N.V., Kurilin A.S., Podolsky S.V., Andreev V.V., Yuchko A.A., Babich K.S., Stepanenko Yu.Yu. New method for the cuts threshold optimization in the E391 experiment: conception and current implementation
New cut optimization technique with using gene Algorithms is proposed. The main advantage of this method is completely automatic search for cut points. This allows finding cut points without of human intervention. Moreover, precision of cut points obtained by automatic searching is much higher than for those obtained «by hand». Preliminary results of the veto system cut optimization in the E391 [1] experiment is presented. The developed technique is applicable to other experiments.
Keywords: rare decay, KL – meson, gene algorithms, cuts
N.V. Maksimenko – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
A.S. Kurilin – JINR, Dzelepov Laboratory of Nuclear Problems, Leader scientific worker, PhD, Dubna, Moscow region, Russia
S.V. Podolsky – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
V.V. Andreev – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
A.A. Yuchko – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
K.S. Babich – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
Yu.Yu. Stepanenko – JINR, Dzelepov Laboratory of Nuclear Problems, Scientific worker, Dubna, Moscow region, Russia
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Piliptsov D.G., Rogachev A.V., Fedosenko N.N., Bekarevich R.V. Mechanical properties of the copper alloyed carbon coatings deposited from cathodic pulse plasma
In the present paper the copper alloying of singlecomponent and titanium containing diamondlike coatings obtained from cathodic pulse plasma is examined. The pecularities of the influence of the copper alloying of such coatings on their microhardness, internal mechanical stresses and morphology have been defined. It is shown, that coppercontaining carbon coatings have nonuniform structure, they are characterised by lower microhardness and they keep high tribotechnical properties. Microhardness increases after annealing the coatings containing carbon, titanium and copper. Copper implantation into the coating leads to decrease of internal mechanical stresses and changes their character; at high copper concentration they become compressing.
Keywords: carbon coatings, mechanical properties, friction, alloying, copper, titanium, morphology.
D.G. Piliptsov – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
A.V. Rogachev – Rector of F. Skorina Gomel State University, Gomel, Belarus
N.N. Fedosenko – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
R.V. Bekarevich – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
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Piliptsov D.G., Rudenkov A.S., Bekarevich R.V. The morphology of the carbon based composition coatings processed by nitrogen ions
It was determined, that the processing of composition coatings on the basis of carbon and titanium by ions of nitrogen essentially disperses the structure of coating (the size of formation becomes 10 times less). After annealing of coatings the morphology becomes more homogeneous.
Keywords: composition coatings, ion processing, morphology, structure formation.
D.G. Piliptsov – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
A.S. Rudenkov – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
R.V. Bekarevich – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
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Shalupaev S.V., Nikitjuk Y.V. Laser thermosplitting of the glass tubes
Modelling of the process of laser thermosplitting of glass products of the tubular form is executed. Calculations of thermoelastic fields for onebeam and twobeam variants of realisation of technology of laser thermosplitting have been performed. It is shown, that for practical use the application of a twobeam way laser cutting of fragile glass tubes is expedient.
Keywords: laser cutting, duallaserbeam method, glass.
S.V. Shalupaev – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
Y.V. Nikitjuk – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
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MATHEMATICS
Jianhong Huang, Fengyan Xie, Xiaolan Yi. SCpermutably embedded subgroups of finite groups
A subgroup H of a finite group G is said to be s conditionally permutably embedded (or in brevity, sc permutably embedded) in G if for each every Sylow p subgroup of H is a Sylow p subgroup of some s conditionally permutable subgroup of G . In this paper, we use some sc permutably embedded subgroups to study the structure of some groups. Some known results are generalized.
Keywords: finite group, s conditionally permutably embedded subgroup, formation, Sylow subgroup, maximal subgroup.
Jianhong Huang – Department of Mathematics, University of Science and
Technology of China, Hefei, China
Fengyan Xie – Humanistic Management College, Anyang Normal University,
Anyang, China
Xiaolan Yi – Zhejiang of Science and Technology University, Hangzhou, China
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Kazimirov G.N. Equivalent structural characteristic of the given generalized modulus of smoothness
In this paper the equivalence of the kth generalized modulus of smothness determined with the help of the generalized shift operator and Peetres Kfunctional is proved.
Keywords: Jacobi generalized shift operator, generalized modulus of smoothness, Kfunctional.
G.N. Kazimirov – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus
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Kashin Y.A., Zhadan M.I., Kashina R.E. Statics of flexible triangular suspension
The system of the nonlinear equations describing the condition of static balance of the flexible triangular suspension in a plane force field, coplanar to the plane of the constant triangle of kinematic relations is received.
Keywords: flexible triangular suspension, static balance, kinematic relations, not extensible flexible string.
Y.A. Kashin – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus
M.I. Zhadan – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus
R.E. Kashina – Department of Mechanical Engineering, P.O. Sukhoi Gomel State Technical University, Gomel, Belarus
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Skiba A.N. On the intersection of all maximal subgroups of a finite group
Let be a class of groups. A subgroup H of a group G is said to be a maximal subgroup of G if and G has no a subgroup such that . The symbol denotes the intersection of all maximal subgroups of G We study the influence of the subgroup on the structure of G.
Keywords: saturated formation, hereditary formation, minimal subgroup, maximal subgroup, hypercentre, soluble group, supersoluble group, quasinormal subgroup.
A.N. Skiba – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus
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Yufeng Liu, Xiuxian Feng, Jianhong Huang On normal subgroups of finite groups
Let G be a finite group and a formation of finite groups. We say that a subgroup H of G is normal in G if there exists a normal subgroup T of G such that HT is a normal Hall subgroup of G and is contained in the hypercenter of . In this paper, we obtain some results about the normal subgroups and use them to study the structure of finite groups.
Keywords: finite groups, normal subgroup, Sylow subgroup, maximal subgroup, minimal subgroup.
Yufeng Liu – School of Mathematics and Informational Science, Shandong Institute of Business and Technology, Yantai, China
Xiuxian Feng – School of Mathematics, Xuzhou Normal University, Xuzhou, China
Jianhong Huang – Department of Mathematics, University of Science and Technology of China, Hefei, China
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INFORMATION SCIENCE
Demidenko O.M., Liauchuk V.D., Kucharau A.I. Functional capabilities of program tools for the adaptive identification of the corporate network users
The authors propose an adaptive way of protecting computers from unauthorized use. The original scheme of the software implementation is discussed. The advantages of creating and implementing of program tools are considered.
Keywords: authorization, identification, authentication, software system, the corporate network.
V.D. Liauchuk – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
O.M. Demidenko – Prorector of F. Skorina Gomel State University, Gomel, Belarus
A.I. Kucharau – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus
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Eskova O.I., Kikot I.I. Planning of the credit conditions based on simulation of probabilistic net diagram
The problem of the credit repayment term determination is discussed. Investment project is represented as probabilistic net diagram. Analytical and simulation methods of investigation are compared.
Keywords: credit, investment project, probabilistic net diagram, simulation.
O.I. Eskova – Belarusian Trade and Economics University of Consumer Cooperatives, Gomel
I.I. Kikot – Belarusian Trade and Economics University of Consumer Cooperatives, Gomel
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