volume 154 number 2 September-October
E.Nadaraya, R.Absava, L.Nadaraya, M.Vezirishvili
Testing the Equality of Two Regression Curves
Presented by Academician G.Chogoshvili,
ABSTRACT. Criteria for checking the hypothesis about the equality of regression function have been constructed from two nonparametric models.
On Some Analogies of Riemann-Lebesgue Theorem for Functions of Multiple Variables-2
Presented by Academician L.Zhizhiashvili,
Abstract. The present paper studies the limits in the restricted sense of the type
for functions f and d from various classes.
Some Properties of Cesaro Means of Conjugate
Presented by Academician L.Zhizhiashvili,
ABSTRACT. Some results concerning the approximation properties of Cesaro means of conjugate trigonometric Fourier series of continuous functions are stated.
On Divergence of Multiple Fourier-Haar Series of Bounded Function of Several Variables on Zero Measure Set
Presented by Academician L.Zhizhiashvili,
ABSTARCT. For arbitrary zero measure subset E of h-dimensional cube [0,1]n there exists a bounded measurable function f of [0,1]n so that for each point of E and arbitrary number l >1 the n-fold Fourier-Haar series of f function diverges on the l .
About Uniform Convergence and Summability of Fourier-Walsh-Paley Series
Presented by Academician L.Zhizhiashvili,
ABSTRACT. The theorems about the uniform convergence and summability by negative order Cesaro method for multiple Fourier-Walsh-Paley series convergence defining in Pringshein sense and final assertions in some classes of functions have been determined.
The First Mixed Problem for Pseudoparabolic Equations
on a Plane
Presented by Academician T.Burchuladze, July 23, 1996
ABSTRACT. The first mixed problem for the third order equations with dominated lower terms is considered in case of two independent variables. Several sufficient conditions and also one necessary and sufficient condition for the unique solvability of the considered problem are obtained. The example is constructed, which shows that if one of these sufficient conditions are not valid, then uniqueness of the problem solution can in general fail.
Some Questions of Convergency of Spectral Expansions
Presented by Academician L.Zhizhiashvili, April 11, 1996
ABSTRACT. For differential polynomial bundle with irregular disintegration boundary conditions, necessary conditions of uniform convergence of n-fold spectral expansions are accepted.
Multiple Fourier Series with Nonnegative Coefficients
Presented by Academician L.Zhizhiashvili, June 10, 1996
ABSTRACT. The theorem with generalized results of M. and Sh. Izumi and of Boas for functions of several variables is stated.
On the Extension of Selfadjoint Operators from Hilbert Spaces to Frechet-Hilbert Ones
Presented by Corr. Member of the Academy N.Vakhania, July 18,1996
ABSTRACT. The paper deals with symmetric and selfadjoint operators in Hilbert and Frechet-Hilbert spaces. Sufficient condition for such operations defined on Hilbert spaces to be extendible as operation of the same kind to Frechet-Hilbert spaces is given. Moreover the domains of the operators definition are essentially extended. In some cases the obtained operators are continuous although they were unbounded in the initial Hilbert spaces.
Fuzzy-Conceptual Method of Knowledge Presentation and Acquisition in the Medical Intelligence System
Presented by Academician V.Chavchanidze, July 18, 1996
ABSTRACT. Formalism of conceptual systems and general theory of management becomes a basis of conceptual idea of knowledge presentation. Different methods of concept formation are also based on this idea, i.e. analytic-heuristic method, analytic-filtration method, etc. It must be mentioned, that this approach completely describes the problems of medical diagnostics and prognostics. Simultaneously together with the theory of conceptual systems the theory of fuzzy sets is based on the concept of "linguistic variable". This theory enables us to describe those processes, about which we have no complete information, or this information is not exact. At present this theory is under the development.
The method, described in the article is based on the principles of these two theories and at certain step their linkage is made. This algorithm makes a modelling of decision-making by expert and provides the acquisition of machine knowledge in given problem field. At each step decision is made on the basis of early experience. It must be also mentioned, that the described system needs minimal volume of machine memory for acquisition the experience.
G.Jandieri, Zh.Diasamidze, V.Glonti
To the Theory of Particles Diffusion in a Turbulent Stream
Presented by Academician J.Lominadze, October 22, 1996
ABSTRACT. This paper is devoted to the calculation of statistical state characteristics of scattered particles in a turbulent stream. The condition of probe particles is described by modifying Forkker-Planck equation and stochastic equation for a slowly moving spherical particle. Turbulent diffusion coefficient is calculated in the approximation of "free turbulence" in a pure spatial case for Gaussian temporal correlation function.
Hopf Bifurcation and the Possibility of Dynamic Chaos in Semiconductors under Impure Breakdown
Presented by Academician L.Buishvili, July 8, 1996
Abstract. On the bases of analysis of continuous oscillations appearing because of Hopf bifurcation in compensated semiconductor under impure electric breakdown condition it has been established that they appear in definite interval of basic impure concentration change under rather high compensations. Optic affect on the sample greatly expands the part of electric field changing which corresponds to continuous oscillations. There has been built the bifurcation diagram of the system on which the range of equilibrium dots of saddle-focus type where continuous as well as chaotic oscillations can appear is singled out. These last ones can have different character depending on whether random fluctuation of parameters or dynamic variables of the system or else the influence on them by some other periodic components will be taken into account or not.
V.Kashia, P.Kervalishvili, Academician R.Salukvadze
Study of Characteristics of the High-Temperature Thermo-Emissive Converters with Tungsten Electrodes
Presented June 21, 1996
ABSTRACT. Experimental results of study of heat-energetic characteristics of the cylindrical cesium-plasma thermo-emissive converter (TEC) are presented. A tungsten layer with (110) preferable orientation served as an emitter. The role of collector was performed by polycrystalline or prepared by emitter's technology tungsten layer. The emitter's temperature under TEC generating conditions was TE=2000-2200 K, and the collector temperature - TC=1000-1300 K.
Classification of Resonance Processes on Nonlinear Paramagnetic Systems
Presented by Corr. Member of Academy T.Sanadze, August 6, 1996
Abstract. NMR is studied in magnetics for low temperatures when a dynamic shift of the resonance frequency occurs. Nonlinear NMR resonance are classified and the limits of their realization are established.
T.Chelidze, T.Berikashvili, T.Peradze, I.Stamateli, L.Chachkhiani
Influence of Plastic Deformation on the Grain
Presented by Academician G.Tsintsadze, May 14, 1996
Abstract. Influence of plastic deformation on quenching-induced phase transformation and inner crystal structure of Ti-Ta alloys has been studied by means of electronic microscopy and microdiffraction methods.
The role of these transformations and structures in form memory effect has been fixed.
T.Adeishvili, A.Gabeshia, I.Khwedelidze, I.Kopaliani
Shoemaker-Levi Comet Collision with Jupiter Planet and its Influence on the Earth Geomagnetic Field
Presented by Academician J.Lominadze, October 28, 1996
Abstract. The processes of Shoemaker-Levi comet and Jupiter collision have been observed. Hypothesis supposition is that these processes are caused by the flow of power particles (electrons and protons) from Jupiter radiation zones. Having reached the Earth magnetosphere they disturb its geomagnetic field.
Complex Molecules Algebraic Models Study
by Modernized ANB-Matrices
Presented by Corr. Member of the Academy D. Ugrekhelidze, May 20, 1996
ABSTRACT. Modelling of complex organic molecules and their study by modernized ANB - matrices method is considered. Diagonal elements of ANB - matrices represent atomic number of chemical elements, whereas nondiagonal ones - multiplicities of chemical bands.
Algebraic Characterization of the Reactions of Aminosilanes with Tertiary Acetylene Carbinols
Presented by Corr. Member of the Academy L.Khananashvili, 29 May, 1996
ABSTRACT. The reactions of aminosilanes with tertiary acetylene carbonols are characterized in terms of ANB-matrix method; diagonal elements of ANB matrices represent atomic numbers of chemical elements, whereas nondiagonal ones-multiplicities of chemical bonds.
Algebraic Investigation of Cycloalkanes
Presented by Corr. Member of the Academy D.Ugrekhelidze, 14 January, 1995
ABSTRACT. Modifications of contiguity matrices of molecular graphs - ANB- and EP- matrices were used for algebraic investigation of cycloalkanes. In terms of this method "structure-property" correlation was found.
I.Fiolia, L.Asatiani, M.Pochkhidze
The Regio and Stereodirection of n-Butanethiol's Nucleophilic Addition to Ferrocenylacetylene
Presented by Corr. Member of the Academy G.Chivadze, July 6, 1995)
Abstract. The reaction of nucleophilic addition of n-butanethiols to Ferrocenylacetylene in DMFA medium has been studied.
It has been established that reaction goes nonregiospecifically but stereospecifically. The product of a - and b -additions has been obtained. However, the product of b -additions has been mainly only with cis-configuration obtained (» 75%).
E.Gelashvili, N.Iashvili, S.Kiladze
Synthesis of Some Bromosubstituted Acetylenic Epoxides
Presented by Corr. Member of the Academy D.Ugrekhelidze, June 21, 1996
ABSTRACT. On the base of acetylenic carbinoles some bromosubstituted acetylenic epoxides were obtained. The structure of these compounds were determined by physico–chemical methods.
K.Amirkhanashvili, I.Rapoport, Academician T.Andronikashvili
Preparation of Capillary Columns for Studies of Sorbent-Sorbate Adsorption Interaction
Presented September 2, 1996
ABSTRACT. Two types of quartz aluminized capillary columns are described. Testing data of "classical" and so-called "wide" capillary columns are given. Test chromatograms are also presented.
M.Gabunia, N.Kedrina, A.Berlin
Demonstration of Ideal Mixing Conditions in the Continuous Reactor by Realization of Formaldehyde’s Polymerization
Presented by Corr. Member of the Academy L.Khananashvili, June 19, 1996
ABSTRACT. The indicator method showed, that in the continuous reactor at the polymerization (and without it) of gaseous formaldehyde the reactor response corresponds to the regime of ideal mixing in the wide range of concentration of polyformaldehyde. In the various series of trials the monomer (when polymerization did not proceed) and polymer (at the polymerization performance) served as indicators.
R. Kvaratskhelia, H. Kvaratskhelia
Behavior of I(5+) and I(7+) in the Solutions
of Ammonium Salts
Presented by Corr. Member of the Academy L. Japaridze, July 15, 1996
ABSTRACT. It has been shown that electrochemical behavior of oxyacids of I(5+) and I(7+) in the solutions of ammonium salts is characterized by the peculiarities due to appreciable proton-donor ability of NH4+ ions and the buffer properties of these solutions. The joint proton-donor action of NH4+ ions and H2O molecules in the processes of anions electroreduction has been first described.
Main Lithofacies Types of Paleocene Deposits of Georgia
Presented by Academician I.Gamkrelidze, July 15, 1996
Abstract. On the territory of Georgia Paleogene deposits have been represented by three different facies: flysch, volcanogene-sedimentary and epicontinental-marine. Flysch deposits are distributed on the Southern Slope of the Greater Caucasus (Paleocene-Eocene) and in the Adjara-Trialetian zone (Paleocene-Lower Eocene), volcanogene-sedimentary - in the Adjara-Trialeti (Middle-Eocene and partlially Upper Eocene) and Locki-Karabakh (Middle Eocene) zones, as for the epicontinental-marine - mostly within the limits of Georgian Block (Paleocene-Oligocene).
N.Tatrishvili, G.Zaridze, Corr. Member of the Academy
Three Problems _ Three Stereotypes
Presented March 18, 1996
Abstract. Three problems, accepted in geology and petrology according to confidently established stereotype have been considered in the article. The first one is the relation of magmatic processes with tectonics, i.e. caused by the tectonics following them, so the primacy is attributed to tectonics, while in reality the vice-versa processes take place. The second problem, considered in the article is the relation of orogenic volcanism with the process of compression, i.e. with the phase of tectogenesis. The material given in the article proves that in orogenic areas volcanism is related with a short term (from the geologic point of view) pause of tension during the process of continuous-discontinuous phases (compression).
The third problem concerns the classification of magmatic rocks which comprise a number of allometamorphic rocks. In this relation a unique classification of all the rocks of orogenic origin is suggested.The first attempts have been made by the authors and suggest such a classification that needs to be overworked and completed.
Chromium Boride Aluminium Oxide and Double Boride (Titanium - Chromium) - Aluminium Oxide Composites Preparation and Study
Presented by Academician G.Gvelesiani, June 15, 1996
Abstract. The present paper deals with elaboration of new, highly efficient technological process of preparation of composites CrB2-Al2O3 and (TiCr)B2-2Al2O3 by alumothermal reduction of chromium chloride and boron anhydride mix or chromium chloride, titanium chloride, titanium and boron anhydride mix.
Thermodynamics was studied. The mechanism of composites C2B2-Al2O3 and (TiCr)B2-2Al2O3 was investigated. Optimal technological parameters of the process were determined.
It is shown that the use of the tungsten layer of (110) preferable orientation as a collector in the TEC with tungsten emitter is highly promissing but it requires high level of manufacturing - exploitation of converter units to prevent degradation and maintaining long-term stability of the device initial energetic parameters which at an average by 25 % prevail over parameters of the converter with polycrystalline tungsten collector.
Deformation Effectiveness Determination Method for the Case of an Oval Strip Rolling In a Vertical Oval Pass
Presented by Academician I.Jordania, July, 15, 1996.
ABSTRACT. New expressions for displaced area reduction real degree of filling of pass and effectiveness during the oval strip in a vertical oval pass of deformation are derived. These expressions can be used in designing effective roll grooving of small section and rod mills.
MACHINE BUILDING SCIENCE
Study of Technological Possibilities of New Parameters of Electric Resistance Welding
Presented by Academician T. Loladze, June 27, 1996
ABSTRACT. Here are presented the investigation results of the effect of new parameters such as: interaxial distance of intershifted electrodes and the second compressive force in one of near-electrode contacts on resistance welding quality, which makes the method of resistance welding proposed by the author more original.
It is stated that shifting of electrodes brings about the useful power redistribution in separate sections of interelectrode area and regulates welding location point.
Statistical Description of Turbulent Motion in Bed Flows
Presented by Academician O.Natishvili, November 1, 1996
ABSTRACT. This work reports the description of turbulent motion in bed flows and turbulent processes in rivers. Such properties as distribution of averaged velocities, tensor of Reinolds stress, law of distribution of pulsation velocities, willer and Lagrange integral scales relation are considered.
Determination of Free Surface Slope in Bed Flows Taking Filtration into Account
Presented by Academician O. Natishvili, November 1, 1996
ABSTRACT. Description of hydraulic processes directly in some thinlayers is a complicated problem. To draw up a logical scheme and obtain some conditional properties in microarea with the subsequent interpolation we must study the boundary conditions.
Time-Characteristics Analysis of the Queueing System with Cumulative Faults and General Erlang Arrivals
Presented by Academician V.Chichinadze, October 10, 1996
Abstract. A queueing system where service medium is a subsystem with many operating states has been studied. Probabilistic characteristics of the response time and the sojourn-time for the transient state are obtained.
About New Kinds of Adjaria Microflora
Presented by Corr.-Member of the Academy G.Nakhutsrishvili, October 21, 1996.
ABSTRACT. Systematic characteristics of 6 kinds of fungi new for science found in microflora of Adjaria are presented.
Human and Animal Physiology
M.Chikvaidze, Z.Nanobashvili, G.Bekaia
Effect of Repeated Afferent Stimulations on Responsive Reactions of Neocortical Polymodal Neurons
Presented by Corr. Member of the Academy V.Mosidze, August 6, 1996
ABSTRACT. The influence of various peripheral repetitive stimulation of neurons in the dorsal suprasylvain gyrus was studied in adult cats immobilized by myorelaxants. Habituation of responses of polymodal neurons in the dorsal suprasylvian gyrus was found to be selective. Selective habituation of responses in the dorsal suprasylvian gyres indicates the occurrence of diverse functional changes in the convergent afferent pathways.
The Study of Complex of Albumin with Bilirubin in the Presence of Mn2+ Ions
Presented by Academician M.Zaalishvili, May 14, 1996
ABSTRACT. The concentration of free bilirubin in plasma and its increase causes hepatitis.
The dependence of the stability of triple complex of human serum albumin with bilirubin and Mn2+ ions on pH of solution using electronic paramagnit resonance (EPR) and the electronic spectroscopic method is studied.
Some Physicochemical and Enzymatic Properties of Fungal Fusant Invertase
Presented by Academician G. Kvesitadze, June 21, 1996
ABSTRACT. The isoelectric point (pH 4.9) of the invertase from fungal fusant and Km value for sucrose (Km=58 mM) was determined. The enzyme rapidly hydrolyzes sucrose, but showed little activity of raffinose and was inactive on the other tested disaccharides Cu2+, Ag+ and Hg2+ cations inhibited the enzyme. The predominant amino acid residues of the enzyme protein were Serine, Glutamic acid and Threonine.
E.Davitashvili, Corr. Member of the Academy N.Aleksidze, G.Alexidze
Lectin-Binding Glycoconjugates and Ca2+ -ATPase Activity in White Rat Intestine Cells
Presented June 3, 1996
Abstract. Galactose-content glycoconjugates dissolved in water-methanol mixture and binding galactoside-specific CS-Gal lectin from Coriandrum sativum have been revealed in white rat's intestine epithelium. The protein fraction of intestine cell tritone-extract with MM 35 kD is characterized by higher Ca2+-ATPase activity and CS-Gal lectin binding. Then it inhibits tritone-extract Ca2+ -ATPase activity and thus suggests the existence of close link between lectin-binding mechanism and that of rat intestine cell Ca2+-ATPase activity.
N.Gabashvili, M.Tsartsidze, A.Gujabidze
On Some Trends in Structural Changes of Various Polymers in the Process of their Damage
Presented by Corr. Member of the Academy D. Jokhadze, February 15, 1996
ABSTRACT. Some methods of IR-spectroscopic analysis were used to study the structural changes of the polymers in the process of biodegradation of polymeric materials (polyethylene, polytetrafluoroethylene, vinylidenfluoride and hexafluorpropylene copolymer, cellulose, aromatic polyimide, polyethilene-terephthalate and polyvinylchloride) caused by mold fungi. Study of IR-specra of various polymers showed that on one hand the mold fungi depletes the covalent bonds in the existing basing groups (decrease of the respective absorption bands in the IR-spectrum), and on the other - it forms the terminal carboxyl groups the amount of which is increased with the increase of the biodegradation degree. Since this is characteristic of all polymers, the above fact can be used to determine the biodegradation degree for any polymer.
R.Goguadze, N.Mikiashvili, M.Chipashvili, Corr.Member of the Academy N.Aleksidze
Comparative Analysis of Biogenic Amines Distribution in White Rat Brain at Different Forms of Aggression
Presented February 15, 1996
Abstract. The distribution of biogenic amines in different parts of white rat brain after pilocarpine and spontaneous aggression have been investigated.
The mouse-killing rat formation has been demonstrated on the ground of pilocarpine-induced aggression (12.5, 25mg/kg/day).
Pilocarpine-induced mouse-killing activity of rats appeared to be a form of behavioral pathology that differed from the species - specific predatory response. Significant differences have been discovered in the biogenic amines distribution at the different forms of pharmacological and spontaneous aggressions.
Shape of Genital Setae-A Taxonomic Character of the Genus Eisenia (Oligochaeta: Lumbricidae)
Presented by Corr.Member of the Academy B.Kurashvili, June 21,1996
ABSTRACT. By the scanning electron microscopy genital and locomotor setae of 25 species of earthworms have been studied. It is established that species of the Eisenia genus are equipped with a trihedral genital setae and the sculpture of locomotor setae is quite definite and different for various species.
Sh.Gogishvili, G.Lursmanashvili, K.Vacharadze
Influence of He-Ne Laser on Cytological Changes in Bronchial Stump After Pulmonectomy in Patients With Fibrocavitary Tuberculosis
Presented by Academician T.Dekanosidze, October 22, 1996
Abstract. Correlation has been determined between recovering process in bronchial stump (BS) after operation and cytological picture of bronchoalveolar lavage (BAL) specimens. Parameters have been found out that can be used for early diagnostic of postoperation complications. Effectiveness of Low Energetic Infrared Laser has been confirmed during scar formation in bronchial stump. Guideline has been worked out of insertion in treatment of this procedure and clinical investigations that will significantly decrease frequency of such dangerous complications as bronchopleural fistula (BPF).
The Routes of Genital Infections Distribution in Girls
Presented by Corr. Member of the Academy T.Decanosidze, May 27, 1996
ABSTRACT. The goal of present investigation was finding the routes of genital infectious distribution in sexually inactive (virgine) girls and adolescents.
The study involved 116 female patients aged 2-18 with vulvovaginitis. Their mothers were examined also.
The results of bacteriological investigation showed that etiologic factor of genital infection was identical in 81.2 % (age group I), 53.6 % (age group II) and 56.2% (age group III).
N.Chichinadze, M.Bzishvili, M.Kakabadze
Autoradiographic Indicator of Androgen Distribution
in the Heart Muscle
Presented by Academician N.Javakhishvili, November 28, 1996
ABSTRACT. With the use of autoradiographic method, it was observed less intensive concentration of 3H Methyltrienolon in all parts of cardiomyocyte nuclei of intact male and female rats. In myocyte nuclei of heart muscle of castrated male rats the intensive turn on of 3H-MTR was noticable.
In control castrated animals, first injected with unmarked, then with marked 3H-MTR less concentration of radioactive particles in cardiomyocyte nuclei was noted. Fusion of pituitrin and adrenaline with castration was provoking not only intensive accumulation of radioactivity, but also formulation of focal necroses in myocardium.
The Structure of Consonant Clusters in the Didoian Languages
Presented by Academician T.Gamkrelidze, November 11, 1996
Abstract. The paper deals with the structure of consonant clusters in languages of the Didoian subgroup.
Consonant clusters occur mainly in the inlaut, the majority being two membered. The consonant clusters of the Cezian languages can be subdivided into two classes:
1. With a resonant consonant as its first member; 2. With noisy consonant in the initial position. The second member of a two-consonant cluster in both classes in root morphemes is always a nonlateral, nonpharyngeal, nonlaryngeal noisy consonant.
The British Conquest of India as the Process of Contiguity of Western and Eastern Civilizations
Presented by Corr. Member of the Academy L.Chilashvili, November 11, 1996
Abstract. This article reviews the conquest of India by the British East India Company. Here the referential points are: the regularity and irreversibility of history and also civilization approach to history. The evolution of consciousness is taken as the driving force of the historical process. Proceeding from the above mentioned this research considers the process of conquest not only the example of deviation from the guideline of historical process, but also as the only and natural way of bringing Western and Eastern civilizations into closer ties.
From the History of Struggle between Feudal Families in the Second Half of the XII Century
Presented by Academician M.Lortkipanidze, August 19, 1996
Abstract. In the second half of the XII
century the opposition arose between the Orbels and Kvirikians, the inspirator
of which was the Georgian King David V. With the purpose to weaken Orbel's
family David V, being in conflict with them, took away Amirspasalar's post and
gave it to Abuletisdze family. As to Kvirike, he promised him to restore
Tashir-Dzoraget Kingdom. The restoration of Kvirikians power in Kvemo Kartli
meant leaving the Orbels without lands.
David V's politics was dangerous for the Orbels family. That was why they connected with George III and according to Armenian sources (Vardan, Mkhitar Gosh) killed King David. As to Kvirikians, they relieved the tension by dynasty marriage. Submit Orbel's son Ivane married Kvirike III's daughter Rusudan (mentioned Rusugan in Armenian inscriptions) and got political rights to their former property.