MOAMBE

1996

volume 154 number 3 November-December

Mathematics

T.Kadeishvili, S.Saneblidze

On the Iterated Bar Construction

Presented by Corr.Member of the Academy N.Berikashvili, July 12, 1996

ABSTRACT. For one-connected space X the Adams's bar construction B(C*(X)) describes H*(W X) just as graded module and gives no information about the multiplicative structure. Thus it is not possible to iterate the bar construction in order to determine cohomology of iterated loop spaces W iX. In this article for n-connected pointed space X a sequence of A(¥ ) - algebra structures {}, k=1, 2,..., n is constructed, such that for each k£ n there exists an isomorphism of graded algebras

H*(W kX) @ (H(B(...(B(B(C*(X);{mi1});{mi(2)});...);{mi(k-1)}));m2(k)*).

Mathematics

M.Usanetashvili

An Oblique Derivative Problem for a Second Order Elliptic Equation with a Parabolic Degeneration on a Part of Boundary

Presented by Academician I.Kiguradze, July 8, 1996

Abstract. The oblique derivative problem is considered for a second order elliptic differential equation which is degenerated on some part of a boundary. The uniqueness and existence of theorems are proved.

Mathematics

Corr. Member of the Academy N.Berikashvili, D.Makalatia

The Multiplicative Version of Twisted Tensor Product Theorem

Presented December 11, 1995

ABSTRACT. A version of Brown's twisted tensor product theorem is given where the model carries the multiplicative structure.

Mathematics

T.Vepkhvadze

General Theta-Functions with Characteristics and Exact Formulae for Binary Quadratic Forms

Presented by Academician G.Chogoshvili, July 18, 1996

Abstract. The exact formulae for the number of representations of positive integers by the forms + 19, 4 + 2x1x2 + 5 and 4 - 2x1x2 + 5 are obtained.

mathematics

M.Khabazi

Weighted Norm Inequalities for Maximal Functions
in Orlicz Spaces

Presented by Academician L.Zhizhiashvili, August 22, 1996

Abstract. The necessary and sufficient condition is derived to fulfill a strong type weighted inequality in Orlicz classes for Hardy-Littlewood maximal function with respect to a nonnegative, continuous Borel measure.

MATHEMATICS

O.Jokhadze

General Darboux Type Problem for a Third Order Equations with Dominated Lower Terms

Presented by Academician T.Burchuladze, July 23, 1996

ABSTRACT. General Darboux type problem for a third order equation with dominated lower terms is considered in the case of two independent variables. The Banach space , a ³ 0, is introduced, where the problem under consideration is investigated. A real number a 0 is found such that the problem is uniquely solvable for a >a 0 and is normally solvable in the Hausdorff sense for a <a 0. An estimate of the solution of the problem ensuring the solution stability is obtained in the class uniqueness.

 

MAThEMATICS

S.Saneblidze

The Formula Determining an A -Coalgebra Structure on a Free Algebra

Presented by Corr. Member of the Academy N.Berikashvili, July 25, 1996.

ABSTRACT. A formula is obtained for an A -coalgebra structure in a free algebra which is defined by its restriction to multiplicative generators.

 

MATHEMATICS

M.Chkhartishvili

Notes on the Convergence of the Scheme of Increased Accuracy for one Mixed Boundary Value Problem

Presented by Corr. Member of the Academy N.Vakhania, July 18, 1996

ABSTRACT. The paper deals with the estimate of convergence of difference scheme for Poisson equation with mixed boundary value conditions. The estimate of convergence compatible with the smoothness of the exact solution was known for 2 < S £ 4.5. In this paper the indicated estimate is obtained for 4.5£ S £ 5.

Mathematics

A.Meskhi

Two-Weight Inequalities for Potentials on Homogeneous Groups

Presented by Academician L.Zhizhiashvili, March 6, 1996

Abstract. In some special case some necessary and sufficient conditions are found for a pair of weight functions, ensuring the validity of two - weight inequali-ties for potentials defined on homogeneous groups.

Mathematics

Z.Samsonia

On Quasiconformal Mapping of Close Domains

Presented by Academician I.Kiguradze, September 6, 1996

ABSTRACT. The problem of quasiconformal mapping of the following Beltrami equation is set and studied for close domains in a definite sense.

CYBERNETICS

M.Akhobadze, D.Zangurashvili

Optimization Problem for Tare Turnover

Presented by Academician M.Salukvadze, August 8, 1996

Abstract. Mathematical model of the tare turnover is described in the article. The algorithm for the maximal profit is obtained.

PHYSICS

G.Jandieri, Z.Surmanidze, Zh.Diasamidze

`To the Theory of Molecule Motion in a Slowing-Down System

Presented by Academician G.Kharadze, November 21,1996

ABSTRACT. The dynamic of deceleration of a symmetrical top molecule motion in a slowing down annular parabolic system is studied in this paper. Analytical and numerical investigations of parametrical interaction between periodical external electric field and ammonia molecule are considered in detail.

 

PHYSICS

C.Tsiklauri, E.Khutsishvili,, M.Mgaloblishvili

Microstructure and Microhardness of Gallium Arsenide

Presented by Corr.-Member of the Academy G.Tsagareishvili, June 22, 1996

 

ABSTRACT. Microstructure and microhardness of undoped Gallium Arsenide single crystals have been studied at the room Temperature. Dislocation structure of Ga(III) and As(III) faces was investigated. Polarity of microhardness is observed. Experimental data concerning the influemce of annealing on the microhardness are reported.

Geophysics

G.Gunia, Z.Svanidze, L.Svanidze

The Determination of Metals' Microadmixtures in Atmospheric Air

Presented by Academician G.Svanidze, April 28, 1996

ABSTRACT. The study of heavy metals in atmosphere using khelatforming fibrillar sorbents obtained by atomic-absorption method is discussed.

Geophysics

V.Abashidze

Instrumental Studies of Differentiated Movements of the Blocks Underlying the Inguri HPS Dam

Presented by Academician B.Balavadze, September 9, 1996

Abstract. A complex analysis of geophysical instrumental observations has ascertained that there are no differentiated movements of the tectonic fault splitting the right-bank part of the Inguri dam basement into two structural blocks.

 

Organic Chemistry

D.Tugushi, M.Gverdtsiteli

Algebraic Investigation of the Process of Condensation of o, o'- Disubstituted Aromatic Diamines with Chloranhydrides of Aromatic Dicarboxylic Acids

Presented by Corr. Member of the Academy L.M.Khananashvili, June 27, 1996

Abstract. Algebraic investigation of the process of condensation of o, o'- disubstituted aromatic diamines with chloranhydrides of aromatic dicarboxylic acids was carried out in terms of ANB - matrices method.

 

Organic Chemistry

T.Guntsadze, M.Buachidze, M.Gverdtsiteli

Algebraic Investigation of the Process of Interaction of Acetylenic Carbinols with HGe(C2H5)3

Presented by Corr. Member of the Academy D.Ugrekhelidze, June 27, 1996

Abstract. Algebraic investigation of the process of interaction of acetylenic carbinols with HGe(C2H5)3 was carried out in terms of ANB - matrices method. Its diagonal elements represent atomic numbers of chemical elements, whereas nondiagonal ones - the multiplicities of chemical bonds.

ORGANIC CHEMISTRY

M.Gverdtsiteli, G.Chikvinidze, I.Gverdtsiteli

Algebraic Characterization of Thion-Thiol Triad Prototropic Tautomerism

Presented by Corr. Member of the Academy L.Khananashvili, June 3, 1996.

Abstract. The algebraic method of organic compounds notation in the form of square symmetric matrices is considered. Their diagonal elements' represent the ordinal numbers of chemical elements, whereas nondiagonal ones - the multiplicity of chemical bonds (ONB - matrices). Algebraic characterization of the thion - thiol triad prototropic tautomerism is given in terms of this method.

Physical Chemistry

Academician T.Andronikashvili, K.Amirkhanashvili, I.Rapoport

Determination of Discrimination Indices of Capillary Column Applied for Studies on Sorbent-Sorbate Adsorption Interaction

Presented September 2, 1996

ABSTRACT. Discrimination indices of quartz aluminized columns of different diameters for n-alkanes have been studied.

n-dekan peak area is taken for a criterion. It is shown that quartz aluminized column with a diameter of 0.53 mm and 3mm thickness of the film gives good results in the study of physico-chemical interactions of sorbent-sorbate.

ELECTROCHEMISTRY

R.Kvaratskhelia, H.Kvaratskhelia

Voltammetry of Cr (6+) in Acidic Dichromate Solutions at the Solid Electrodes

Presented by Corr. Member of the Academy L.Japaridze, July 7, 1996

abstract. It has been shown that the predominant form of existence of Cr (6+) in the H2Cr2O7 aqueous solutions in neutral (0.1M NaClO4) and acidic (0.1N H2SO4) media is HCr ion. The main kinetic parameters of the Cr (6+) electroreduction were calculated. Nature of the Cr (6+) waves was explained.

Geology

G.Gongadze

Caucasian Echinoids on the Maastrichtian and Danian Boundary

Presented by Academician I.Gamkrelidze, July 18, 1995

ABSTRACT. On the boundary of Maastrichtian and Danian in the Caucasus cutting down of Echinoids is clearly noticeable. It is the result of Mesozoic extinction. This is due to the fact that Danian-Paleocene Echinoids represent the impoverished part of the Upper Cretace complex.

We think it is not right to draw the Cretace-Paleogene boundary between Maastrichtian and Danian by Echinoids. This boundary should be drawn between Danian and Paleocene or between Paleocene and Eocene.

Mineralogy

G.Nasidze

Minal Composition of Pyroxenes and Amphiboles of the Adjara-Trialeti and their Distribution

Presented by Corr. Member of the Academy G.Zaridze, August 12, 1996

Abstract. Dependence of chemical composition of volcanogenic rocks, conditions of mineral formation process and influence of geodynamic regime on distribution of minals in minerals of the region has been considered basing on evaluation in minals of pyroxenes and amphiboles of Eocene volcanogenic rocks of Adjara-Trialeti.

 

Hydraulic Engineering

J.Kilasonia, G.Khelidze

Topical Problems in Predicting Slope Deformations

Presented by Academician Ts.Mirtskhulava, August 6, 1996

Abstract. The critical analysis of the methods of estimation of artificial and natural slopes stability is given, as well as short description of the computer model developed by the authors for predicting the deformations of mountain slopes adjoining reservoirs. The ways of the model further development and prospects of its application for the solution of topical problems are scheduled.

HEAT ENGINEERING

T.Magrakvelidze, N.Bantsadze, N.Lekveishvili

Influence of Artificial Roughness on Heat Transfer to Turbulent Mixed Liquid in a Pool

Presented by Academician M.Salukvadze, July, 29, 1996.

ABSTRACT. Heat transfer from thorus shaped smooth and roughened surfaces to mixing water in a pool has been investigated experimentally. The surface was roughened by means of wire rings, fixed at a constant pitch-to-wire diameter ratio of 10/1. Wire diameter was 0.5 mm. It was shown that artificial roughness increased heat transfer intensity about 1.6 times.

 

Automatic Control and
Computer Engineering

G.Vachiberidze

On Some Aspects of Digital Processing and Improvement on Recognition Parameters of the Earth Surface Radio Location Images

Presented by Academician M.Salukvadze, August 9, 1996

Abstract. The problems of digital processing of radio location images are considered conformably to the devices of air-borne computer complexes operating in real time. In order to process running images of the earth surface, the method of median digital filtration is used, its algorithms being implemented on sorting elements of programmable memory device connected as conveyer sorting circuit. It is shown that median filtration with optimum size two-dimensional window enables to increase digital processing quality and recognition accuracy of radio location images.

 

Automatic Control and
Computer Engineering

M.Karkashadze

Stadial Indices of the Parallel Type CS Reliability and Efficiency

Presented by Academician V.Chichinadze, September 2, 1996

ABSTRACT. In the work there are established the fundamental indices of the redundant joint usage engineering systems with account of the reliability in the stadial mode. The system is considered as the system of the mixed type mass service (with losses and expectations), with a united queue, common resourcess and group service.

AUTOMATIC CONTROL AND
COMPUTER ENGINEERING

I.Mikadze, L.Mirtskulava

On the Realizability of Message Transmission through Unreliable Data-Transmission Channel

Presented by Academician V.Chavchanidze, October 1, 1996

Abstract. In the present article we investigate mathematical model of data-transmission channel (DTC), subjected to distortions (failures). The time between neighbouring failures is distributed according to Erlang ratio. The method of enhance of reliability and efficiency of message transmission through unreliable DTC is suggested.

 

AUTOMATIC CONTROL AND
COMPUTER ENGINEERING

L. Mirtskhulava

On the Data-Transmission Channel Models with Account Information Distortion

Presented by Academician V.Chavchanidze, September 9, 1996

ABSTRACT. On the basis of the queueing theory the problem of determination of the probability characteristic of time of message transmission in data-transmission channel with account information distortion is considered in the paper.

Automatic control and
Computer Engineering

T.Pestvenidze, M.Karkashadze

Fulfilling the Task in the Redundant Engineering Systems

Presented by Academician V.Chichinadze, September 2, 1996.

ABSTRACT. The work considers probabilities of fulfilling the task of the redundant complex joint usage engineering system with a multistate working ability within the given time.

SOIL SCIENCE

V.Lomidze

Peculiarities of Temperature Regime in Brown Soils

Presented by Corr. Member of the Academy T.Urushadze, August 15, 1996

ABSTRACT. This report presents the temperature regime peculiarities in brown soils. The fluctuation of temperature in different periods of the year causing positive or negative actions is considered.

Botany

M.Gachechiladze, L.Kobakhidze

The Formation of Generative Organs and Character of Pollination of Trigonocaryum involucratum (Stev.) Kusn. (Boraginaceae)

Presented by Corr. Member of the Academy G.Nakhutsrishvili, August 22, 1996

Abstract. We studied successive stage of formation of gametophytes, character of pollination and fertilization in embryologically unknown only representatives of genus Trigonocaryum - T.involucratum (2n = 14). Sex pollination and heterostyle were discovered in species. In short-styled flowers self-pollination was observed (kleistogamy, autogamy), in long-styled ones - cross pollination.

Human and animal physiology

D.Lomadze, Z.Nanobashvili, G.Bekaia

On the Peculiarities of Memory in Children with Picnolepsy

Presented by Academician V.Okujava, September 17, 1996

ABSTRACT. Inattentiveness of patients with picnolepsy is considered to be a general reason for intellectual disorders, displayed by subjects in affective emotional state. Intellectual abilities of subjects reached the normal level as soon as the emotional state became more stable.

Biophysics

J.Oniani, V.Yurin, A.Kudriashov,
A.Sokolik, M.Chokhonelidze, V.Demidchik

On the Mechanism of Membranotropic Action of the Heavy Metal Ions on the Plant Cells

Presented by Academician T.Oniani, December 3, 1996

Abstract. The regularities of interaction between the heavy metal ions and plasmalemma, as evidenced by measurments of the bioelectrical reactions of the cell and cyclosis velocity, are described. It is shown that Pb2+, Zn2+, Cd2+, Ni2+ ions in concentration of 10-6 - 10-3 M possess direct membranotropic effect. The copper in concentration above 10-5 M exerts an indirect membranotropic effect in both short - (10-15 min) and long-term (more than 20 min) experiments. In this respect a scheme for the chemical agents' classification is suggested according to the elements of membranotropic effect mechanism and with consideration of the shifts in the ion permeability of membrane.

BIOCHEMISTRY

R.Gakhokidze, Z.Khidesheli, L.Tabatadze

On the Problem of the Increase of Plant Resistance
to Mycoplasmic Diseases

Presented by Academician G.Kvesitadze, September 13, 1996

ABSTRACT. The effect of lucreazine on tomato and pepper resistance to the disease of mycoplasmic etiology-stoolbure was studied. Based on the presented results. It can be assumed that after immunification by lucreazine, plant organism assimilates this compound. Plant growth and development are stimulated, a number of its biochemical, biometrical, ultrastructural and anatomical indices improve. The mycoplasmic infection decreases. Such results may be considered as a demonstration of plant increased stability to infections and unfavourable environmental factors.

BIOCHEMISTRY

M.Abutidze, G.Pruidze, N.Mchedlishvili

Purification and Characterization of b -Glucosidase in Tea Leaves

Presented by Corr. Member of the Academy N.Nutsubidze, June 27, 1996

ABSTRACT. b -glucosidase isolated from tea leaves was purified by ammonium sulphate, by ultrafiltration and ion-exchange chromatography on DEAE cellulose. Purification rate is 11. It was shown that enzyme was active at
pH 6-6.5 370C. The dependence of reaction rate of enzyme on the concentration of p-nitrophenyl-
b -D-glucopiranoside is governed by Michaelis-Menthen equation.

Biochemistry

N.Gabashvili, M.Tsartsidze

Hydrogen Peroxide Production by Cladosporium Herbarum Fungus and Possibility of Its Participation in Degradation of Synthetic Polymers

Presented by Corr. Member of the Academy N.Aleksidse, July 22, 1996

ABSTRACT. The possibility of hydrogen peroxide production in cladosporium herbarum infected cultural medium was studied. The mechanisms of biodegradation of the synthetic polymers with participation of the hydrogen peroxide were disscused.

Biochemistry

G.Lekishvili, T.Lekishvili, M.Porchkhidze

Mathematical Investigation of Some of the Biochemical Transformations

Presented by Corr. Member of the Academy N.Aleksidze, July 15, 1996

ABSTRACT. The use of the new topological indices of the information type is discussed. Some biochemical reactions are studied. The process in connection with the decrease of the information content is substantiated. The directions of the further investigations in this field are outlined. The attempt to ascertain a correlation between structures of molecules and their relative biochemical activities is made.

Biochemistry

T.Mitaishvili, Corr. Member of the Academy D.Ugrekhelidze, Ts.Khoshtaria

Nitrobenzene Metabolism in Plants

Presented July 19, 1996

ABSTRACT. Reduction of nitrogroup into amine group and hydroxylation of aromatic ring of nitrobenzene takes place in maize, pea and kidney bean seedlings. Intermediate products of nitrobenzene metabolism - O-notrophenol and aniline - have been isolated. The studies showed that main metabolic way of nitrobenzene detoxication is conjugation of its intermediates with low-molecular peptides.

biochemistry

G.Pruidze, M.Jincharadze, T.Varazishvili, N.Omiadze

Peptides of Black Tea Dry Concentrate and their Aminoacid Composition

Presented by Corr. Member of the Academy D.Jokhadze, July 18, 1996

Abstract. The crude fraction of lomolecular peptides was isolated from black tea concentrate 9 peptides, differing in qualitative and quantitative composition of aminoacids, were identified by paper chromatography.

Cytology

Kh.Janelidze

Ultrastructural Changes in Retinal Photoreceptors in Hens, Hen Embryos and Newly-Hatched Chickens under Ionizing Radiation

Presented by Corr. Member of the Academy B.Kurashvili, August 8, 1996

ABSTRACT. Ultrastructural changes in retinal photoreceptors have been studied in hens, hen embryos and newly-hatched chickens under the ionizing radiation.

It has been shown that radiation affects the external segments of both rods and cones, causing dezorientation, fragmentation and disappearance of their membrane discs. Changes take place in the internal segments of photoreceptors as well: mitochondrial double membranes and cristas disappear in the ellipsoid, while in the paraboloid the disintegration of glycogen granules and a slight decrease in their number are observed. In the cytoplasm of visual cells polysome complexes break down into separate ribosomes and a slight decrease in the diameter and length of the endoplasmic net elements is noted. In hen embryoes of 12 days the radiation delays the formation of membrane discs.

It has been supposed that under radiation redox processes decrease in photoreceptor cells and the level of protein synthesis also comes down, causing delay in the formation of membrane discs.

Cytology

R.Kapanadze, L.Ninoshvili

Autoimmune Myocardiopathy: Functional, Structural and Biochemical Changes

Presented by Corr. Member of the Academy T.Dekanosidze, August 29, 1996

ABSTRACT. Experimental researches were carried out on male rats. Autoimmune cardiomyopathy resulted from adjuvant Freudni. Heavy changes of structural, ultrastructural, biochemical and functional type were traced down in myocardia. Reomorphology of blood was subjected to changes too. The latter is of great importance for systolic function of myocardia. In order to correct broken metabolism of myocardia and a -Tocopherol and Cytochrome C are effectively used.

PALEOBIOLOGY

V.Chkhikvadze, N.Amiranashvili

History of the Fossil Turtles Studies in the Caucasus

Presented by Academician L.Gabunia, July 8, 1996

ABSTRACT. The history of investigation of the fossil turtles of the Caucasus, region by region, is reviewed. The list of the extinct species is presented as well as their stratigraphical and geological distribution.

LINGUISTiCS

L.Biniashvili

To the Meaning of the Word-Combination
S a r
q e l i a p i r i s a j

Presented by Academician A.Kalandadze, December 10, 1996

ABSTRACT. The paper investigates a word-combination from the "Book of Ezekiel" which wasn't translated from Greek into Georgian in a right way. This erratum in the Greek text itself appears due to the wrong understanding of two Hebrew words being graphically identical but quite different in meanings.

history

I.Menteshashvili

East India Company and the Great Mughals

Presented by Corr. Member of the Academy L.Chilashvili, November 11, 1996

Abstract. This article investigates the attitude of the British East India Company towards the Indians and the Great Mughals in the course of the 17th-19th centuries. Reviewing Company's business affairs, diplomatic relations and warfare we stress the change of English from self-conscious merchants to the haughty rulers and thereby the change of attitude towards natives from the respect to negligence.

 

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