Doklady of the Academy of Sciences of Belarus, 1997, Vol.41, No.2
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Doklady of the Academy of Sciences of Belarus, 1997, Vol.41, No.2

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
Gaishun I.V.
Axiomatic approach to the notion of fuzzy vector space. pp. 59
Summary: The system of axioms that single out the class of Fspaces, is suggested. The Fspace has the set O of unit elements. The set O is equipped by the structure of partial order which consistent with the algebraic structure. The interconnection of Fspace with the fuzzy vector spaces in the conception of L. Zadeh is established and the properties of Fspace are investigated.
Glaeske H.J., Kilbas A.A., Saigo M., Shlapakov S.A.
L_{v,r}theory of integral transforms with Hfunction as kernels. pp. 1015
Summary: Integral transforms (Hf)(x) = Int{ H^{m,n}_{p,q}[xt]f(t)dt} (x>0) involving Hfunction as the kernel are studied in the spaces L_{v,r} of functions f such that Int{t^{vr1} f(t)^{r}dt} < inf (1 <= r < inf, v ª R). Results are given on the boundedness and onetoone correspondence, various representations and ranges of the transforms H.
Vignoli A., Zabrejko P.P., Moroz V.B.
Critical values of bounded from below functionals and Hammerstein equations. pp. 1621
Summary: A new variant of The Three Critical Points theorem is obtained. The authors prove that (under suitable quite simple hypotheses) either the functional in question has at least three distinct critical values or, its set of minimum points is noncontractible in itself. As application, the problem of nontrivial solutions of nonlinear integral Hammerstein equations with lack of compactness is considered.
Yegorov A.D.
L_{2}isomorphic Gaussian models for a class of functional integrals with respect to nonGaussian quasimeasures. pp. 2226
Summary: Isomorphism between a subspace of square integrated functionals with respect to nongaussian quasimeasure defined by characteristic functional and the subspace of square integrated functionals w.r.t. corresponding gaussian measure is established.
Belko I.V.
Transversal continuations of foliated Lie groupoids. pp. 2729
Summary: The author introduces the notion of a foliated Lie groupoid and its transversal continuation of the k order. He constructs the transversal continuations of the action of a foliated Lie groupoid on a bundle. The transversal connections of k order are the examples of transversal structure. For the foliated Lie groupoid continued the Sh. Ehresmann theorem about its Lie algebroid is proved.
Tretiakova N.N.
Fourier type multidimensional integral transforms. pp. 3036
Summary: The paper studies the Fourier type integral transforms, connected with the representations of Euclidean rotation group SO(n) and motion group M(n). The theorems about a convergence of these transforms are proved here. These theorems generalize some known results of analysis to the fields of arbitrary qualities (scalar, vector, tensor, spinor and others) in Euclidean space E_{n}.
Alekhno A.G.
On solvability of the homogeneous Riemann's boundary value problem with infinite index. pp. 3744
Summary: A discussion of basic results concerning the theory of homogeneous Riemann's boundary value problem with infinite index of arbitrary power order in the case of multilateral vorticity is given.
PHYSICS
Sirota N.N., Soshnina T.M.
Density distribution of electron kinetic and exchange energy in interatomic bond range according to the atomic statistical model. pp. 4549
Summary: Density distribution of electron kinetic and exchange energy in the range of interatomic bond which is formed by additive superposition of electronic density of two neutral atoms in a ground state is calculated according to the atomic statistical theory.
Gurinovich V.A., Kononyuk I.F., Korshunov F.P., Makarenko L.P.
The influence of vacuum annealing on properties of Bi(Pb)2223 superconductor after gammairradiation. pp. 5054
Summary: Preliminary gammaray irradiation has been found to enhance oxygen outdiffusion and degradation of Bi_{2}Sr_{2}Ca_{2}Cu_{3}O_{y} ceramic superconductor under vacuum annealing. Recovery of initial characteristics of this material takes place by annealing at 400°C in air. It is suggested that degradation of Bi_{2}Sr_{2}Ca_{2}Cu_{3}O_{y} ceramic superconductor under gammaray irradiation is due to the radiation enhancement of gas change with environment.
Makovetsky G.I., Smolik Ch.K.
Determination of intensities and positions of overlapping peaks by the extrapolation method. I. pp. 5559
Summary: The technique for separation of the intensities of the overlapping diffraction peaks by the extrapolation method algorithms with the high order of precision has been presented. The optimum conditions for carrying out the diffraction experiment have been reported for separation of the intensities of the peaks.
Novikov V.P., Dymont V.P.
Synthesis of diamondlike carbon at low temperature. pp. 6063
Summary: A new method of carbon synthesis has been suggested and realized using acetylene solution in liquid ammonia through acetylene oxidation by transitive metal ions. The conclusion was made that the substance obtained was a new diamondlike carbon modification.
CHEMISTRY
Matusevich V.V., Khirsanova I.F., Lukashevich L.I., Soldatov V.S.
The influence of acidity and nutrient solution concentration on biozones of ionite substrates. pp. 6467
Summary: The biozones of anion and cation exchange components of fibrous nutrient substrate BIONAF for growing plants have been obtained. There have been derived 4 biozones of anion exchanger FIBAN AK221 at two total nutrient solution concentrations 0.017N and 0.00425N and at two pH values 6.5 and 5.5. The biozone of fibrous cation exchanger FIBAN K1 has been obtained at the total nutrient solution concentration 0.017N and pH = 6.5.
Krut'ko N.P., Ovseenko L.V., Starostina O.I.
Interactions in mixed solutions of ionogen surfactants. pp. 6872
Summary: The interaction of even homologs of primary aliphatic amines having the length of the C_{12}  C_{18} hydrophobic radical with anionic and ampholitic surfactants have been investigated by the conductometric method. According to summary length of the surfactant hydrophobic radical the equimolar complexes are shown to be formed in solution the existence of which are confirmed by IRspectroscopy.
Makarevich N.A.
Average mass and average numerical characteristics of surfactant associative solutions. pp. 7378
Summary: Critical analysis of known definitions for aggregation degree a, aggregation number n in solutions of nonionic surfactants and binding degree of counter ions by associative complexes beta in solutions of ionic surfactants was carried out on the basis of the laws of mass action and conservation of mass and charge. When studying colligative properties of surfactant solutions and the properties dependent on surfactant aggregate sizes in solution, differentiation of definitions for a, b and n between numerical a, n and b, and mass a_{w}, n_{w} and b_{w} values was given. There are represented expressions for equilibrium constants of quasichemical reaction K_{asw} and K_{a s} and ratios between a, n, K_{as}, and a_{w}, n_{w} and K_{asw} with the methods for determining these characteristics shown. Definitions for a_{i}, n_{i}, b, b_{w}, a_{iw}, n_{iw}, for ionic surfactant solutions are given. Corrections taking account of molecule association in an adsorption layer in terms of a and electrolyte effect in terms of isotonic coefficient L_{s} = v / (v  1 + b), where v  ion number into which surfactant dissociates are shown to be required for ionic surfactant solutions in Gibbs and Van der Waals' equations of state, adsorption isotherms of Gibbs, Hill  de Boor, Frumkin  Guggenheim  Fauler etc.
Polikarpov A.P., Valendo A.Ya.
Thermomechanical properties of irradiated ultrahigh molecular polyethylene. pp. 7983
Summary: Thermomechanical properties of ultrahigh molecularweight polyethylene films gammairradiated in air and in argon were studied. Irradiation in the medium of argon causes significant increase in heat stability due to creating of covalent bonds.
BIOLOGY
Titok V.V., Yurenkova S.I., Tsebrikov Yu.V., Khotyljova L.V.
Comparative estimation of bioenergetic process activity in fiber flax seedlings. pp. 8487
Summary: Comparative analysis of the peculiarities of biomass accumulation and of bioenergetic processes in fiber flax seedlings with the differences in economically valuable traits was carried out. High positive correlation between potential capacity of bioenergetic processes in cotyledons of etiolated seedlings and productivity traits in different varieties was revealed.
Melnikova A.M., Matus V.K., Konev S.V.
Formation of respiratory activitystimulating factor by yeast ozonization. pp. 8891
Summary: Low doses of ozone were shown to stimulate the respiratory activity of yeasts at the stationary growth phase. This is caused by the accumulation in the medium of low molecular thermostable factor(s) capable of biological activity. No formation of substances with similar physicochemical properties and biological activity was observed under other conditions of incubation, without O_{3} treatment. This indicates an important role of oxidative stress in the induction of the factor. A cooperative decrease in the plasma membrane permeability for endogenous metabolites of low molecular mass (nucleotides) as well as a rise in the cell sedimentation rate were observed at the concentrations of the factor stimulating bioenergetic processes. Therefore, the biological effect of the factor is probably mediated by its membranemodifying action. This effect is not speciesspecific because the stimulation of respiration by the yeast factor was discovered in other cells (bacteria).
Gorbunova N.B., Kalyunov V.N.
Effect of psychosocial stress on concentration of nerve growth factor (betaNGF) in blood serum. pp. 9295
Summary: Using the bicentral radioimmunoassay it was found that a psychosocial stressinduced elevation of the nerve growth factor level was prolonged and determined by the duration of preceding isolation and stress interaction and showed a long dynamics of recovery in the poststress period.
Domansky V.P., Shantarovich A.M., Fradkin L.I.
Induction of active photosystem 2 formation in barley etiolated leaves without light participation. pp. 9699
Summary: The influence of exogenous chlorophyllide (Chlide) and NADPH on the ability of etiolated leaves to emit delayed luminescence (DL) of photosystem 2 (PS2) was examined. Infiltration of Chlide into 6dayold etiolated leaves of barley and subsequent dark incubation for an hour promotes an increase in DL under illumination. Infiltration of etiolated leaves with acetone extract from green leaves deprived of lipids and pigments, or with Chlide and 3 mM NADPH resulted in the appearance of DL just at the beginning of illumination in contrast to normal etiolated leaves where PS2 DL was detectable after about 10 min of continuous light. It is concluded that Chlide infiltration into etiolated leaves promotes PS2 light formation and infiltration of Chlide jointly with NADPH, furthermore induces dark formation of functionally active PS2 in etiolated leaves.
Maslova I.V., Vismont F.I.
Cholinergic activity in rat brain structures under animal immobilizationinduced stress. pp. 100103
Summary: ACh metabolism in rat brain has been studied under conditions of emotional stress caused by the immobilization of animals. Reciprocal changes in ACh metabolism have been observed in cortex and subcortex brain structures. The changes are characterized by the decrease in cholinergic activity in cortex and the increase of this activity in brain stem and hypothalamus. Changes in striatum bear the phase effect. Initially, there occurs transmitter release. Later, transmitter content is decreasing against the background of weaker ACh synthesis.
EARTH SCIENCES
Arkhipova A.A.
Average contents of macro and microelements in the main rock types of gneissicmigmatite complexes of Belarus crystalline basement. pp. 104108
Summary: The average macro and microelements contents (regional clarkes) of intermediate and acidic rocks from gneissic and migmatitic complexes of Belarus crystalline basement are presented. The distinctions in geochemical specialization of rocks from different structural zones of the region basement have been revealed.
Kozhemyakina N.A.
Admixture elements in potassium feldspars from Precambrian granitoids of Belarus. pp. 109113
Summary: The distribution of admixture elements in potassium feldspars from granitoids of Belarus has been discussed. It is suggested to use these elements as additional indicators when revealing the genetic nature of granitoids.
Makhnach N.A., Gulis L.F.
Special distribution of the ground water saturation index by calcite in Belarus. pp. 114118
Summary: Schematic map of the saturation index of ground waters by calcite is given and analysed in the paper. Correlation between the saturation index value and geomorphological, lithological, landscape peculiarities and technogenic effect was revealed.
TECHNICAL SCIENCES
Vantsevich V.V., Vysotsky M.S., Kharitonchik S.V.
Combination of rolling regimes for elastic wheel. pp. 119122
Summary: The new problem was formulated and solved  control of tractive and power characteristics of wheel by combining rolling regimes and, correspondingly, by changing purposefully its force, kinematic and power parameters. The carried out research is basic for developing a new theory for mobile vehicles motion aimed at solving problems for controlling their service properties.
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Created with assistance of Dr. Ignatii I. Korsak
Copyright © 19972002 The National Academy of Sciences of Belarus
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