MOAMBE
1996
volume 154 number 1 Jule-August
Mathematics
T.Akhobadze
On Some Analogies of Riemann-Lebesgue Theorem for
Functions of Multiple Variables -1
Presented by Academician L.Zhizhiashvili,
Abstract. In the present paper the limits
in Pringsheim's sense of the type
(u,v)a (l 1u, l 2v)dudv
for functions f and a from various classes are investigated.
Mathematics
T.Aliashvili
Signature Method for Counting Point in Semi-Algebraic
Subsets
Presented by Corr. Member of the Academy
N.Berikashvili,
ABSTRACT. The theorems on counting root
numbers of real polynomial endomorphism in an arbitrary semi-algebraical set
are given and several cases are considered. The estimate of the computational
complexity of counting root numbers is obtained. The mentioned facts generalize
early results obtained by the author. Particularly the numbers of variables and
equations are unrestricted.
Mathematics
M.Ashordia
On the Correctness of the Multipoint Boundary Value
Problem for the System of Generalized Ordinary Differential Equations
Presented by Academician I.Kiguradze, April 10, 1995
Abstract. The sufficient conditions are
given to guarantee the correctness of the problem
dx(t)=dA(t) × f(t,x(t)),
xi(ti)=j i(x) (i=1,...,n),
where t1,...,tn
Î [a,b],
A:[a,b]® Rn´ n
is a matrix-function with bounded variation components, f:[a,b]´ Rn® Rn is a
vector-function belonging to the Caratheodory class corresponding of A,
and j i(i=1,...,n) are the
continuous functionals from the space of vector-functions of bounded variation
into R.
Mathematics
Corr.
Member of the Academy N.Berikashvili
On the Criterion of the Secondary Cross Section
Presented June 13, 1996
ABSTRACT. New formula for the secondary
obstruction to Serre fibration is given.
Mathematics
M.Bakuridze
Some Properties of Fourier Trigonometric Series of
Even and Odd Functions
Presented by Academician L.Zhizhiashvili, June 20,
1995
ABSTRACT. Problems of continuity of sums
of definite type "cosine" and "sine" series are considered.
The criterion of the sum of "sine" series from the class Hw is established.
MATHEMATICS
N.Inasaridze
Non-Abelian Tensor Products of Finite Groups with
Non-Compatible Actions
Presented by Corr. Member of the Academy H.Inasaridze,
February 20, 1996.
ABSTRACT. Some sufficient conditions for
finiteness of a generalized non-abelian tensor product of groups are
established.
Mathematics
I.Khasaia
Problems of Convergence Multiple Expansions in Complex
Sphere for Polynomial Differential Bundle with Constant Coefficients
Presented by Academician L.Zhizhiashvili, December 20,
1995
Abstract. In case of constant
coefficiental operator of the third order the problem of convergence spectral
expansion has been studied in complex domain. The analogue of Abeli's
well-known theorem about convergence power series has been obtained.
Mathematics
G.Oniani
On Possible Meanings of Upper and Lower Derivatives
Presented by Academician L.Zhizhiashvili, November 27,
1995
ABSTRACT. In the paper there is
investigated the behaviour of upper and lower derivatives of the integrals with
respect to the differentiation bases formed of intervals. The main result
consists in that the analogy of the famous theorem of Besicovich generally is
not true for translation invariant Busemann-Feller differentiation bases formed
of intervals.
Mathematics
S.Saneblidze
Lusternik-Schnirelmann Category of a Weak Formal Space
Presented by Corr. Member of the Academy
N.Berikashvili, December 26, 1994
ABSTRACT. The paper presents the
Lusternik-Schnirelmann category computed for a class of spaces by the integral
cohomology ring.
MatHematics
N.Skhirtladze
Some Properties of Belman's and Loo's Transformations
Presented by Academician L.Zhizhiashvili, May 23, 1996
ABSTRACT. Some properties of Belman's and
Loo's trasformations and invariant classes for this transformations are
studied.
MathematicS
M.Tchumburidze
About Matrices of Singular and Fundamental Solutions
for Equations of the Generalised Couple - Stress Thermoelasticity Plane Theory
Presented by Academician T.Burchuladze, March 26, 1996
ABSTRACT. The matrices of fundamental and
other singular solutions are constructed explicit for the system of stationary equations
of two - dimensional generalised couple - stress thermoelasticity theory and
some of their properties are indicated.
Mathematics
S.Topuria,
N.Chikobava
Summability of the Fourier Series over Generalized
Spherical Functions by the Abel and (C, a ) Methods
Presented by Academician L.Zhizhiashvili, May 2, 1996.
ABSTRACT. Some theorems on Abel and (C,
a )
summability of Fourier series over generalized spherical functions are proved.
MATHEMATICS
M.Usanetashvili
Conjugation Problem for a Second Order Hyperbolic
System with Discontinuous Coefficients
Presented by Academician I.Kiguradze, July 8, 1996
ABSTRACT. The conjugation problem is
considered for a second order degenerated hyperbolic system with discontinuous
coefficients. The uniqueness and existence theorems are proved.
CYBERNETICS
Z.Piranashvili
On the Extension of Kotelnikoff-Shannon Formula
Presented by Academician V.Chavchanidze, June 10,1996.
ABSTRACT. The extension of
Kotelnikoff-Shannon formula which gives the possibility to increase interpolation
step on the discreet points together with process value up to some order
considering derivative value is given in the paper.
Physics
Z.Kachlishvili,
K.Jandieri
Continuous Oscillations in Compensated Semiconductor
under Impure Electric Breakdown
Presented by Corr. Member of the Academy N.Tzintzadze,
June 1, 1996
ABSTRACT. On the basis of mathematical
model describing generation - recombination processes from impurity levels,
dielectric relaxation of electric field and delay of electron temperature Te
relatively to the change of electric field necessary and sufficient condition
of appearing persistant oscillations in compensated semiconductor under impure
electric breakdown is established. This condition is reduced to rather simple
form after a number of transformations. It contains the delay time of electron
temperature t D as an important parameter characterizing the behavior
of the system. The dependence of t D from Te is studied. It is shown
that while regarding the dynamics of the system t D with good
accuracy can be considered constant.
Physics
E.Khutsishvili,
M.Paghava, A.Kuchashvili
Thermal Expansion Coefficient of Gallium Arsenide at
High Temperatures
Presented by Corr. Member of the Academy G.
Tsagareishvili, June 22, 1996
Abstract. Thermal exspansion coefficient
of single and polycrystals gallium arsenide has been investigated at the
temperature range from 300 to 900 K.
Good agreement of gallium arsenide thermal
expansion coefficient temperature dependence with that of heat capacity of
semiconductors was found.
The effect of annealing at 823 and at 873
K of gallium arsenide is expected to be connected with the process of arsenic
impoverishment of the material.
PHYSICS
N.Kekelidze,
R.Charmakadze, R.Alania, D.Kakushadze, A.Berdzenishvili, Z.Tkeshelashvili
Investigation
of the Electroluminescent Properties of Gallium Nitride Structures Implanted
with Zn and Mg Ions
Presented
by Corr. Member of the Academy T.Sanadze, August 6, 1996
ABSTRACT. Epitaxial GaN layers which
always contain a great number of donor type defects were strongly compensated
by doping in the growth process with further Zn and Mg ion implantation.
Electroluminescent structures with new and
important properties were obtained. Intensive light emission was produced in practically
entire range of visible and near-ultraviolet light spectrum. The emission
colour changes with variation in the degree of doping and the voltage applied
to the structure. "Oscillation" of the current-voltage characteristic
not observed in other structures was identified. Strong polarization of the
short-wave band with a maximum at 3.29eV was found.
PHYSICS
A.Rukhadze,
M.Chogovadze, L.Chachkhiani
Radiative Instability in Ideal Liquid with the
Tangential Discontinuity
Presented by Corr. Member of the Academy N.
Tsintsadze, June 27, 1996
ABSTRACT. The nature of the tangential
discontinuity in the ideal liquid has been investigated. New type of
instability - radiative instability stipulated by motion of a light liquid
above the surface of heavy one has been discovered. This radiative instability
should be considered as stimulated Cherenkov sound wave radiation from
discontinuity surface.
Analytical
Chemistry
O.Manjgaladze,
M.Gverdtsiteli
Application of Theory of Graphs in Systemic-Structural
Analysis of Educational Material
Presented by Academician G.Tsintsadze, June 17, 1996
ABSTRACT. The method of systemic analysis
is considered. The mathematical criterion of efficiency of this method,
relative information, is devised in terms of graphs theory.
Organic
Chemistry
M.Gverdtsiteli,
N.Samsonia
Algebraic Investigation of Fisher’s Reaction
Presented by Corr. Member of the Academy
L.M.Khananashvili, June 29, 1995
Abstract. The algebraic method of
recording of organic molecules and reactions in terms of ANB - matrices is
presented. Their diagonal elements are the atomic numbers of chemical elements,
whereas nondiagonal ones - the multipli-cities of chemical bonds. Algebraic
investigation of Fisher’s reaction is given in terms of this method.
Organic
Chemistry
M.Kezherashvili,
N.Lekishvili, L.Asatiani, B.Butskhrikidze, L.Kipiani
The Silicon-Containing New Bisazodyes
Presented by Corr. Member of the Academy
L.Khananashvili, May 20, 1996
ABSTRACT. The silicon-containing new
bisazodyes were synthesized and studied. Some of the synthesized dyes were
investigated for dyeing natural silk fibres. It was established that the
colours of obtained dyes on natural silk is characterized by brightness and
high fastness to different treatment.
organic
chemistry
N.Kobakhidze,
Z.Machaidze, M.Gverdtsiteli
Algebraic Investigation of Thioethers
Presented by Corr. Member of the Academy
L.Khananashvili, June 12, 1996
ABSTRACT. Algebraic investigation of
thioethers was carried out in terms of ANB - matrices method. Their diagonal
elements represent atomic numbers of chemical elements, whereas nondiagonal
ones - the multiplicities of chemical bonds.
Organic
Chemistry
M.Sturua,
T.Vephkhvadze, R.Ziaev, D.Tsakadze, Sh.Samsonia, A.Abdusamatov
Alkaloids of Magnolia (Magnolia obovata Thunb)
Presented by Corr. Member of the Academy
D.Ugrekhelidze, July 21, 1996
ABSTRACT. From magnolia (Magnolia
obovata Thunb) gathered in Batumi Georgia) well-known alkaloids remerin,
anonain, liriodenin and lanuginozin were isolated and identified. By modern
methods the structure of fifth alkaloid was ascertained - N-oxide of
isolaurelin, which is isolated from plants for the first time.
Physical
Chemistry
K.Amirkhanashvili,
L.Rapoport, Academician T.Andronikashvili
Studies of Sorbent-Sorbate Adsorption Interaction
on Capillary Chromatography
Presented September 2, 1996
ABSTRACT. A review is made on the
capillary columns used in gas-liquid chromatographic investigation. The
preference utilization of quartz capillary columns is shown.
Geology
Academician
I.Gamkrelidze, D.Shengelia, G.Chichinadze
Macera Nappe in the Crystalline Core of the Greater
Caucasus and its Geological Significance
Presented August 14, 1996
ABSTRACT. It is indicated that in the
Elbrus subzone of the Main Range zone of the Greater Caucasus are preserved
separate fragments of once indivisible Macera nappe which was overthrusted from
south (from the Pass subzone) during the sudetic phase. Due to this conclusion
division of metamorphic complexes of the Greater Caucasus into series, their
interrelations and questions of its age succession is considered in a new
light.
GEOLOGY
H.Mikadze
Method of Compact Limestones Treatment for
Micropaleontological Investigation
Presented by Academician I.Gamkrelidze, June 06, 1996
ABSTRACT. A new method is applied for
separation of microforaminifers from the Upper Cretaceous compact limestones,
glauconitic sandstones and clay and marlaceous limestones of the Gagra-Djava
zone.
PETROLOGY
A.Okrostsvaridze,
D.Shengelia
New Data on the Formation of Microcline Granites of
Dzirula Salient
Presented by Corr. Member of the Academy G.Zaridze
July 8, 1996
ABSTRACT. Considering structure of Dzirula
salient characteristics of binary granites formation of inner Massif of the
Caucasus it is assumed that during Tournasion-early-middle Visean period the
rocks of sialic profile (the substratum of microcline granitoids) were
overthrust by allochthons of femic profile. The thickening of the crust caused
the change in PT gradient which stimulated the process of selective melting in
sialic rocks and formation of S-type granites. The trace of tectonic transport
of allochton was closed and thus erased by granitoid magma activity (late
Visean-Bashkirian) in major areas.
Metallurgy
A.Sulamanidze
The Way of Boundary Effect Detection at Conductor
Setting
Presented by Academician T.Loladze, June 27, 1996
ABSTRACT. An original way of detection of
thermoelectromotive force originated on the border of solid and liquid phases
of current conducting material is proposed. A simple and accessible scheme is
worked out for registration of the mentioned effect.
Practical application of the method opens
possibilities of quantitative estimation of boundary effect of conductors,
fixing their place in thermoelectric metal series and of consecutive control of
thermal processes in the zone of unipolar current pulse resistance welding and
of crystallization process control.
Hydraulic
Engineering
D.Namgaladze,
V.Nanitashvili
Nonstationary Process Control in Supply Pipelines by
the Finite Control Method
Presented by Academician G.Chogovadze, June 22, 1996.
ABSTRACT. In the paper problem of pressure
control at the beginning and at the end of supply pipeline is considered. The
method of finite control is used. On the basis of differential equations
describing the nonstationary operation regime in the pipeline and using optimal
control theory, the control functions are obtained. They allow to reduce
pressure oscillations to a minimum in the pipeline at transfer from one
stationary regime to another.
Electrotechnics
A.Zerekidze,
T.Natenadze
To the Applied Programmes Packet of DC Traction
Machines Automation Design
Presented by Corr. Member of the Academy I.Jebashvili,
July 4, 1996
ABSTRACT. We report on the necessity of
d.c traction electric machines automation design complex approach. The work
suggests a packet of applied programmes and determines the application of each
programme.
AUTOMATIC
CONTROL AND
COMPUTER ENGINEERING
Z.Babunashvili,
G.Popov
Automatic System for Watching Movement of Stormclouds
Presented by Academician M.Salukvadze, June 21, 1996
ABSTRACT. Proposed system for watching
movement of stormclouds together with the other methods of meteorological
researches enable us to be prepared long before the storm and increase
considerably the efficiency of hailprevention system.
Biochemistry
R.Akhalkatsi,
T.Bolotashvili, R.Solomonia, Corr. Member of the Academy N.Aleksidze
Identification of Concanavalin A Binding Proteins of
Rat Brain Cellular Nuclei By Gel Electrophoresis and Blotting
Presented March 5, 1996
Abstract. The existence of concanavalin
A-binding proteins has been discovered in rat brain cellular nuclei PBS soluble
(180, 150, 125 and 63 kD) and triton X-100 extractable fractions (180, 175,
150, 125, 120, 107, 95, 70, 63, 57 kD) by the method of gel electrophoresis and
blotting. A hypothesis is presented, that rat brain nuclear membrane pores
modulator is concanavalin A lectin like protein.
BIOCHEMISTRY
T.Buachidze,
L.Topuria
Purification and Partial Characterization of Invertase
from Fungal Fusant
Presented by Academician G.Kvesitadze, July 21, 1996
ABSTRACT. Invertase from fungal fusant was
purified by ammonium sulfate fractionation, DEAE-cellulose chromatography and
Sephadex G-100 gel filtration. The purified enzyme appeared homogeneous on disc
electrophoresis. Its molecular weight was estimated to be 76000 by sodium
dodecyl sulfate-polyacrylamide gel electrophoresis and 75000 - by gel
filtration. The carbohydrate content of the enzyme equals to 25%. The optimum
activity of enzyme was observed at about 50° C and it was stable up to 55° C. Although the enzyme was stable between the pH 4.0
and 5.5 the optimum pH for its activity was about 4.6.
Biochemistry
I.Chkhikvishvili,
A.Shalashvili, G.Papunidze, I.Targamadze, T.Meladze
Polymethoxylated Flavones and Flavanones of Citrus
Flowers
Presented by Corr. Member of the Academy N.Nutsubidze,
June 13, 1996
Abstract. Polymethoxylated flavones and
flavanones have been investigated in Citrus flowers. It was revealed that the
flowers of orange, mandarin, lemon and grapefruit contain polymethoxylated
flavones: 5-OH-6, 7, 8, 3', 4' - pentamethoxyflavone, tangeretin,
tetra-O-methylscutelarein, 3, 5, 6, 7, 8, 3', 4' - heptamethoxyflavone, nobiletin,
sinensetin and flavanones: didimin, poncirin, hesperedin, neohesperedin,
narirutin, naringin, eriocitrin and neoeriocitrin.
Ecology
Academician
K.Nadareishvili, H.Grebenchuk
Questions of Linear Forecasting in Ecology and their
Decision by Methods of Decomposition on Double Orthogonal Systems of Functions
Presented October 1, 1996
ABSTRACT. The paper furnishes for linear
forecasting and retrospective analysis of the state of technogenic fields at
the decision of problems of ecodynamics.
Shown, that, an unsoluble situation, as it
were, when the forecast of parameters of technogenic fields cannot give
reliable results, the opportunity of construction of the mathematical theory,
allowing at certain restrictions of the character of temporary series to build
the correct forecasts and to make retrospective analysis. This opportunity is
associated with the methods of decomposition of finite functions on double
orthogonal basis. Thus, if the basis is orthogonal simultaneously on a final
piece and on the whole axis, it is possible to build estimations in past and in
future with any beforehand given error.
Experimental
morphology
G.Gogichadze,
T.Dolidze, T.Gogichadze
Possible Reason for Tumour Cells Appearance in
Hemolytic Anemias of Different Origin
Presented by Academician N.Javakhishvili, June 10,
1996
ABSTRACT. At hemolytic anemias of
different genesis side by side with hemolysis process of somatic cells fusion
may take place with formation of tumour cell. Some agents may induce both
fusion process and destructive effects in somatic cells by induction on plasma
membranes pores of different size.
Experimental
Medicine
E.Pataraia,
Ch.Baumgartner
Clinical Significance of Ictal EEG Patterns in
Patients with Mesial Temporal Lobe Epilepsy
Presented by Corr. Member of the Academy V.Mosidse,
August 22, 1996
Abstract. We analyzed lateralization
accuracy and reliability of EEG seizure patterns in 118 seizures in 24 patients
with mesial temporal lobe epilepsy as documented by hippocampal atrophy on MRI
and unitemporal spikes on interictal EEG. Two blinded electroencephalographers
independently determined morphology, location and time course of ictal EEG
changes. A lateralization was possible in 88.4 to 92.0% of seizures. Lateralization
always corresponded to the side of the interictal spike focus and of
hippocampal atrophy on MRL. Lateralization was never incorrect. Lateralization
at seizure onset was possible in only 30.4 to 33.9% of seizures. A later
significant pattern which allowed lateralization occured in 83.8 to 93.6% of
seizures with a non-lateralized onset and started 12.8 to 13.2 seconds after
EEG seizure onset. Interobserver reliability for lateralization was excellent
with a kappa value of 0.85. Concerning the individual patients, in 19-20
patients all seizures were lateralized, in 4 patients a mixture of lateralized
and non-lateralized seizures occured and in one patient no seizure was
lateralized.
EXPERIMENTAL
MEDICINE
N.Okujava,V.Bakhutashvili (Corr.Member of Academy),
B.Korsantia
THE PHAGOCYTOSIS SYSTEM IN PATIENTS WITH
DESTRUCTIVE ULMONARY TURERCULOSIS AND THE EFFECTIVENESS OF PLAFERON IN
STIMULATING OF PHACOGYTIG ACTIVITY
Presented July,19,1996
ABSTRACT. In patiente with destructive
pulmonary tuberculosis the phogocytosis system was studied.Significant
depression of activity of phagocytosis system in those patients was determined.
The most pronounced shifts of phagocytie indices was noted in patients with
fibro-cavitary tuberculosis. The rise of absorption and intracellular digestion
capacity of neutrophils correlated with the severity of tuberculous process.
The absente of dynamics of phagocytic indices was a significant practical value
and pointed to the necessity of the use of immunomodulators along with
antituberculous chemotherapy.
Plaferon caused the positive dynamics of
phagocytic indices.
Experimental
Medicine
N.Tsintsadze
HLA - Markers During Glaucoma and Cataract Diseases in
Georgian Population
Presented by Corr. Member of the Academy N.Tatishvili,
April 11, 1996
Abstract. Persons of Georgian
nationality were examined: 69 patients having glaucoma disease and 73 patients
with cataract.
It was determined that the genetic markers
of predisposition to the glaucoma disease are antigenes A1; A10; B12; gaplotipes
A1-B35; A1-B5; A10-B35; B5-B12. Antigenes of cataract are HLA A3; B15; B40 and
gaplotipes A11-B15; A2-B40.
Palaeobiology
K.Chochieva,
N.Mamatsashvili
Spore-Pollen Complexes of Chaudian Deposits Bearing
the Decidua of Colchis Redwood Forest
Presented by Academecian L.Gabunia 19.03.1996
ABSTRACT. Recent spectra of layers bearing
the decidua of redwood forest of Colchida are presented. Data of palynological
analysis as well as paleocarpological testify Colchida's antiquity as a
refugium, its connection with tropical and subtropical regions in geological
past and ultimate delayed rate of its organic world transformation through
anthropogene.
history
of science
L.Razmadze,
Corr. Member of the Academy D.Jokhadze
Darwin's Evolutionary Theory and "Kvali"
Presented August 29, 1996
ABSTRACT. The Georgian weakly political,
scientific and literary newspaper "Kvali" (1893 - 1904) was one of
the printed organs in Georgia publishing the most complete scientific articles
on Darvin's evolutionary theory. The material described in this paper gives
chance to the wide sections of population of Georgia to know about new
achievements in different sciences as well as those of biology through
newspapers.
History
of Science
R.Shengelia
Treatment
of Wounds in Georgian Traditional Medicine and New Aspects of Research in
History of Medicine
Presented
by Corr. Member of the Academy V.Mosidze, October 10, 1996
ABSTRACT. Treatment of wounds in Georgian
traditional medicine are discussed in the work. The material of about 500
manuscripts and more than 40 expeditions was analysed.
The material is processed by computer. A
special computer program was created and criteria and coefficient of
reliability were determined. The latter is the basis for
utilization/prohibition of traditional remedies. Strategy and policy of
utilization of traditional remedies have been determined.
History
of Science
Corr.
Member of the Academy T.Sanadze
To the 30th Anniversary of Discrete Saturation Pulsed
EPR Spectroscopy
Presented August 6, 1996
ABSTRACT. History of discovery and
development of the discrete saturation pulsed spectroscopy and examples of its
application are presented. Invited lecture on the XXVII Anniversary Congress
AMPERE, Kazan, 1994 is offered.