# Доклады Национальной академии наук Беларуси, 1999, Том 43, No.5

/ Издания академии / Научные журналы

Доклады Национальной академии наук Беларуси, 1999, Том 43, No.5

## СОДЕРЖАНИЕ

**МАТЕМАТИКА**

*Zakrevskii A.D.*
**Solving systems of logical equations by the method of local reduction.** pp. 5--8

*Summary:* The problem of finding roots in large systems of logical equations each of which includes restricted number of variables is considered. A new method based on vector representation of regarded Boolean functions and their local reduction is suggested for its solution. The proposed method was applied to one cryptanalytical problem reduced to solving a system with 131 unknowns, and the result witnessed its very high efficiency.

*Gabasov R.F., Kirillova F.M., Ruzhitskaya E.A.*

**Extinguishing of oscillations of a string.** pp. 9--12

*Summary:* The method of construction of the bounded feedback controls for extinguishing oscillations of a string, based on the solution of auxiliary problems of optimal control is stated. The results are illustrated by examples.

*Minchenko L.I., Sirotko S.I.*

**To sufficient conditions of local controllability for discrete systems.** pp. 13--16

*Summary:* Sufficient conditions for the local controllability of discrete inclusions are established.

*Demidenko V.M.*

**Conic characterization of certain domains of a strong decision of the symmetric traveling salesman problem.** pp. 17--21

*Summary:* There are obtained the minimal description and enumerated abviocely the minimal proper surfaces of the cone of symmetrical Supnick's matrix, for which the strong solvable of traveling salesman problem are guaranted.

*Mukhin V.V.*

**Modular functions of locally compact topological semigroups and unimodular semigroups.** pp. 22--24

*Summary:* The concept of modular function of a locally compact topological semigroup with the open translation mappings, which have a nonzero left invariant measure and a nonzero right invariant measure is give. The relations between left invariant measures and right invariant measures on such semigroups are establish. The unimodular semigroups which are algebraically embedded in groups are described.

*Jovanovich B.S., Matus P.P., Shchehlik V.S.*

**Finite difference schemes for nonlinear parabolic equations with weak solutions.** pp. 25--29

*Summary:* In the present paper the convergence explicit difference schemes for the first initial boundary problem for one-dimensional quasilinear heat equation with the unlimited nonlinearity is studied. The coordinated estimates of the convergence's speed in discrete *L*_{2} -- norm for the weak solutions from *W*^{2,1}_{2} are obtained.

*Guletskii V.I., Yanchevskii V.I.*

**Number points on real varieties.** pp. 30--33

*Summary:* Independence of point degree parity on variety defined over number field embedded in the field of real numbers from a real topology of this variety was proved in the paper.

*Kovalevskaya E.I.*

**Metric theorem on exact order of approximation to zero in ***Q*_{p} by the values of polynomials with integer coefficients. pp. 34--36

*Summary:* We prove Baker's conjecture on the exact order of approximation to zero in *Q*_{p} by the values of polynomials with integral coefficients.

*Benediktovich V.I., Sarvanov V.I.*

**Constructing subpolyhedron bounding volume in the regular polyhedron in ****R**^{3}. pp. 37--40

*Summary:* We call the polyhedron *P* whose every simplex is incident to 2-simplex the regular polyhedron. It has been proved, that for a regular polyhedron *P* the smallest bodies can be constructed in *O*(*n*) time with *O*(*n* • log *n*) time of the preliminary processing, if after removing all 2-simpleces non-bounding volumes the received polyhedron is strongly connected. In general case the smallest bodies can be constructed in *O*(*nr*) time, where *n* -- the number of 2-simpleces of *P*, and *r* -- the number of the strongly connected components of *P* which are the borders of the smallest bodies.

**ФИЗИКА**

*Zhestkov S.V., Kuvshinov V.I.*
**On generalization of Hirota method on multidimensional nonlinear Shroedinger equation.** pp. 41--43

*Summary:* The mathematical variant of Hirota method generalization on multidimensional nonlinear Shroedinger equation is suggested.

*Sinitsyn G.V., Khodasevich M.A., Yasyukevich A.S.*

**Electronic communication channel in the model of free degenerate Fermi gas.** pp. 44--47

*Summary:* On the base of the negentropy principle the influence of quantum statistics of information carriers on the information rate limit of an electronic communication channel is investigated.
It is shown that in the model of free degenerate Fermi gas the quantum-statistical properties of electrons begin to influence the capacity of one-dimensional channel at information transmission rates of the order of 10^{16} bit/s and perhaps even at lower rates. Quantum communication channels with two- and three-dimensional distributions of electrons are energetically less favourable for information transmission in comparison with one-dimensional channels. This is caused by degeneration of power levels of two- and three-dimensional channels.

*Voitikova M.V.*

**Cellular automaton model for evolution of complex systems.** pp. 48--51

*Summary:* The stochastic discrete space-time model of an immune response on tumor spreading in a two-dimensional square lattice has been developed. The immunity-tumor interactions are described at the cellular level and then transferred into the setting of cellular automata (CA). The multistate CA mode] for the system, in which all states of lattice sites, composing of both immune and tumor cells populations, are the functions of the states of the 12 nearest neighbors. The CA model incorporates the essential features of the immunity-tumor system. Three regimes of neoplastic evolution including metastatic tumor growth and screen effect by inactive immune cells surrounding a tumor have been predicted. Time series generated by the model follows the empirical Hursts law and demonstrates the strictly persistent character of the tumor growth with low noise level.

*Margolin A.E.*

**Topological quantum field theories and probabilistic interpretation in quantum gravitation.** pp. 52--54

*Summary:* It is shown that if quantum gravity is topological quantum field theory (TQFT), then waveflinction of the Universe has explicit probability interpretation.

**ХИМИЯ**

*Starobinets G.L., Rakhmanko E.M., Borshchenskaya T.I.*
**Determination the concentration bonders of microscopical demixture of two-component solutions water-organic nonelectrolyte on the basis of solvophobic effect.** pp. 55--57

*Summary:* It has been shown that the solvophobic effect stady from dependence of the composition of two-component solution water-organic nonelectrolytie allow prediction the concentration borders of his microscopical demixture, which coincide with the prediction of the traditional physical methods.

*Dikhtievskaya L.V., Mozheiko F.F.*

**The influence of inorganic electrolytes on composition of adsorption layer and foaming power of higher aliphatic amine salts.** pp. 58--61

*Summary:* The frothing properties of aliphatic amine salts (C_{12}--C_{18}) solutions as the function of the composition of their adsorption layers at the solution-air interface depending on inorganic electrolytes concentration have been investigated.

*Losev Yu.P., Amadyan M.G., Oganesyan N.M., Fedulov A.S., Abramyan A.K., Shagoyan A.G., Khachkavanktsyan A.S.*

**Inhibition of lipid peroxidation initiated by radiation.** pp. 62--65

*Summary:* Inhibition of lipid peroxidation initiated by g-radiation has ben studied. Gallic polydisulfide, previously reported as an effective antioxidant, has been used as the inhibitor. It has been demonstrated that gallic dislilfide exhibited high inhibiting efficiency in conditions of the radiation-initiated lipid peroxidation owing to the effect of intramolecular synergism.

**БИОЛОГИЯ**

*Kaminskaya L.N., Koren L.V., Khotyljova L.V.*
**The influence of genetic background of D/R wheat substituted lines of Cv. Thatcher on expression of dominant gene Vrn 1.** pp. 66--69

*Summary:* Expression of the dominant gene Vrn 1 defining a spring type of developing common wheat variety Thatcher was revealed to be inhibited by a genetic background of D/R substituted lines of the given variety. The manifestation degree of the gene studied depends on substitution in a certain chromosome of D-genome. 2D/2R and 6D/6R substitution exerts the heaviest inhibiting effect.

*Soklakov V.I., Finin V.S., Savchenko N.E., Belskaya E.L.*

**Estimation of the effectiveness of hemodialysis by spin marked zonds.** pp. 70--72

*Summary:* Spin label method is used as an effective test for the estimation of the degree of blood cleaning from endogen intoxication products in the process of extracorporal dialysis.

*Gourine V.N., Sidorenko A.V., Tsaryuk V.V.*

**The bioelectric brain activity of the cheerful and narcotized animals infuenced by microwaves.** pp. 73--75

*Summary:* The bioelectric brain activity was investigated by spectral correlation method and nonlinear dynamics method. It was created that the cheerful animals influenced by microwaves are felt nonspecific reaction of syncronization and may be depression in the brain activity systems. It was noted in arizing the desyncronization elements through the increasing of spectral components in a- and b-ranges of electroencephalograms. It was probably consequence the brain crust of cerebral hemispheres influenced by the activated brain systems.

*Gorbunova N.B., Kalyunov V.N.*

**Effect of choline bioking agents on the nerve growth factor concentration in blood of mice under zoosocial stress.** pp. 76--78

*Summary:* Abolition of the central muscarinic and peripheral nicotinic cholinoreactive structures by the selektive antagonists (amyzil 30 mg/kg, ganglerone 30 mg/kg) was found to substantially limit an increase in serum nerve growth factor (b-NGF) during zoosocial interplay but did not affect the level in isolated animals. Hence, the b-NGF level in blood serum in early forming community is controlled by the brain muscarinic and gangliar nicotinic receptors.

*Yeliseeva K.G., Ogurtsova S.E., Trusova V.D.*

**Metabolic cyclophophosphamide activation under induction of [Ah] gene battery expression.** pp. 79--81

*Summary:* Induction of [Ah] gene battery expression by bifunctional b-naphthoflavone inducer was shown to result in increasing mutagenic effect of cyclophosphamide in bone marrow cells of "Ah-inducible" mice C57BI/6J. There was no such an increase in "Ah-noninducible" mice DBA/2. The findings point to involving the enzyme group encoded by [Ah] gene battery in metabolic activation of cyclophosphamide.

*Shalygo N.V.*

**The superoxide dismutase activity in greening barley leaves at porphyrinogenesis induced with Cs**^{+} cations. pp. 82--85

*Summary:* Change of the superoxide dismutase activity (SOD) an enzyme scavenged of superoxide radicals (O^{• -}_{2}) in greening barley leaves accumulating uroporphyrinogen III (UROgen), uroporphyrin III (URO) and the inactive protochlorophyllide (Pchlide) have been investigated. The Cs^{+} cations were used as inducers of porphyrinogenesis. The SOD-activity not changed in leaves accumulating UROgen. At that time the SOD-activity especially their chloroplastic isoforms were activated in leaves containing URO and Pchlide. Peculiarities of O^{• -}_{2} accumulation and change the SOD-activity in leaves accumulating porphyrins are discussed.

**НАУКИ О ЗЕМЛЕ**

*Kapora M.S., Kudelsky A.V.*
**New type of mineral waters within territory of Belarus.** pp. 86--89

*Summary:* The new tupe of the mineral waters has been discovered in Belarus in the section of the jurassic deposits of the Pripyat trough. About 240--289 of mg/dm^{3} humic compounds is in the water composition. Water chemistry is characterized. The problems of the origin, spread and perspective of mineral water use are discussed.

*Petukhova N.N., Kuznetsov V.A.*

**Regional clarkes of chemical elements in holocene soils of river valleys of Belarus.** pp. 90--93

*Summary:* The regional darks of the Holocene flood-plain soils of main river valleis in Belarus territory are calculated and discussed.

*Levykh N.N., Bulkin Yu.S., Abramenko V.I.*

**Peculiarities of the behaviour of trase elements in the precambrian weathering crusts developed over the basic magmatic rocks of Belarus.** pp. 94--97

*Summary:* Data of the trace elements migration in Pre-Mid-Riphean weathering crusts developed from gabbrous with a due account for the redox conditions have been obtained. Data of minerals-concentrators of individual trace elements are cited.

*Simakova G.I., Pavlova I.D.*

**Peculiarities of palaeogeography of the Kryvina mire vicinity in the Late Glacial and Holocene.** pp. 98--101

*Summary:* In the result of complex investigations of deposits composition and pollen spectra it was stated, that Krivina mire, situated in the Belarusian Poozerje, has originated ~ 7800 BP on the place of a palaeolake. Several regression levels are recognized in the development of the palaeolake. Stages of the vegetation forming in the study area are described. Three phases of the human impact on the environment are revealed.

*Kiselev P.A.*

**The prognosis of depth lie of boundary division fresh and mineralized underground water in conditions of contact.** pp. 102--105

*Summary:* The equations are proposed for definition of the depth of the lie of boundary of the division fresh and mineralized underground waters. The evaluation of depth of this boundary is fulfilled in one point Byelorussia.

*Yelovicheva Ya.K., Bogdasarov M.A.*

**To the question about the age and conditions of the accumulation of the sediments of the Gatcha deposit in Belarus.** pp. 106--110

*Summary:* Palynological data found the old of the different horizonts of the lake-alluvial and bog sediments from the middle Pleistocene on the Holocene from the seven sections what it is the meaning with the decision of the Questins about the genesis of the amber and the old of the stratum with the amber.

**ТЕХНИЧЕСКИЕ НАУКИ**

*Stepanenko A.V., Karpitsky Yu.V., Smirnova L.A.*
**Kinematic and power parameters of rolling with critical inequality of periphiral speeds of rolls.** pp. 111--113

*Summary:* Optimal kinematic parameters for asymmetric rolling that ensure maximal reduction of normal contact stresses in comparison with usual rolling are designed.

*Pleskachevsky Yu.M., Shilko S.V., Stelmakh S.V.*

**Evolution and structural levels of materials: adaptive composites.** pp. 114--118

*Summary:* The systematic analysis of the problem permitted the authors to trace the evolution of structural organisation and demands to artificial materials, reveal the mechanisms of their adaptivity to external action and disclose the structure influence on the formation of adverse effect. With scale levels of the structure (molecular, meso-, macroscopic and polycomponental) changes of the differentiation of material functions are observed. For the illustration of conception numerical model is developed when adaptive reaction simulated by controlling moving boundary inherent to adaptive composites.

*Struk V.A., Skaskevich A.A., Revyako M.M.*

**The ultra dispersiblis clasters of sintetic carbon as active modifier of polymeric materials.** pp. 119--121

*Summary:* The properties of polimeric materials, that was modificated a small additive of ultra dispersion carbon clusters, are reseached. The ultra dispersion clusters of carbon was made by explogne technology. The effect of complex changes of physical-technical, rheological and adhesive qualities of modificated thermoplasts and thermoelasticplasts is determined.

/ Издания академии / Научные журналы / К началу страницы

Разработана и поддерживается Николаем Н. Костюковичем. Последнее обновление: *6 сентября 2008 г.*

Создана при участии Игнатия И. Корсака

Копирайт © 1999-2008 Национальная академия наук Беларуси

Копирайт © 1999 Издательство "Беларуская навука"