soxumis saxelmwifo universitetis S r o m e b i VII

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1965 wels daamTavra korcxelis saSualo skola oqrosmedalze, 1969w. ki m. gorkis saxelobis soxumis saxelmwifopedagogiuri institutis fizika-maTematikis fakulteti maTematikisspecialobiT. 1969-1971 wlebSi igi muSaobda zugdidisraionis sofel jixaSkaris I saSualo skolaSi maTematikismaswavleblad, 1971 wlidan ki soxumis pedagogiuri institutis,1979 wlidan afxazeTis saxelmwifo universitetis fizika-maTematikisfakultetis algebra-geometriis kaTedrazemaswavleblis, ufrosi maswavleblis, docentis Tanamdebobebze.1989 wlidan, afxazeTis saxelmwifo universitetidanqarTuli nawilis gamoyofisa da mis bazaze axali sauniversitetocentris – ivane javaxiSvilis sax. Tbilisis saxelmwifouniversitetis soxumis filialis dafuZnebis Semdeg,is iyo am umaRlesi saswavleblis maTematikisa da kompiuterulmecnierebaTa fakultetis dekani.mSobliur institutSi samuSaod dabrunebis dRidanveganisazRvra misi pedagogiuri da samecniero muSaobis mimar-Tuleba, albaTobis Teoria da maTematikuri statistika.revaz absava, rogorc mecnieri, ivane javaxiSvilis saxelobisTbilisis saxelmwifo universitetis albaTobis Teoriisada maTematikuri statistikis kaTedris aRzrdilia.is mecnierebis did da eklian gzaze daakvaliana kaTedrisgamgem profesorma gvanji maniam, gamoCenilma mecnierma damecnierebis brwyinvale organizatorma. amave kaTedris profesoris,elizbar nadaraias xelmZRvanelobiT Sesrulda sakandidatodisertacia Temaze: `mravalganzomilebiani ganawilebissimkvrivisa da regresiis funqciis araparametruligulovani tipis SefasebaTa Sesaxeb~ (spec.: 01.01.05 – albaTobisTeoria da maTematikuri statistika), romelic brwyinvaleddaicva moskovis eleqtronuli manqanaTmSeneblobis institutisspecializirebuli sabWos (К.063.68.05) sxdomaze 1986wlis 10 oqtombers da mas mieniWa fizika-maTematikis mecnierebaTakandidatis samecniero xarisxi. xolo, 1989w. martSiumaRlesma saatestacio komisiam mianiWa docentis wodeba.Semdgom iyo politikuri krizisi afxazeTSi, omi, romelmacSeaferxa ara marto TiToeuli afxazeTelis winsvla...1993 wlidan TbilisSi, miuxedavad didi problemebisa,pedagogiuri da administraciuli muSaobis paralelurad r.absavam ganagrZo samecniero muSaoba (konsultanti: Tsu alba-Tobis Teoriisa da maTematikuri statistikis kaTedris gamge,saqarTvelos mecnierebaTa akademiis wevr-korespondenti, profesorielizbar nadaraia). kvlevis obieqti iyo: ganawilebiskanonis funqcionaluri maxasiaTeblebis zogadi saxis arap-8
arametrul SefasebaTa kvadratuli gadaxris zRvariTi ganawilebismiRebis meTodis SemuSaveba da misi realizeba; ganawilebissimkvrivis da regresiis mrudis Sesaxeb martivi darTuli hipoTezebis Sesamowmebeli kriteriumebis ageba damaTi simZlavris dadgena; klasifikaciis da identifikaciisproblemebTan dakavSirebuli zogierTi sakiTxis gadawyveta.revaz absava 30-ze meti samecniero publikaciis avtoria,maT Soris aris ori meToduri miTiTeba, saxelmZRvaneloalbaTobis TeoriaSi da monografia. revaz absavas mecnierulmakvlevebma dasrulebuli saxe miiRo sadoqtoro disertaciissaxiT: `ganawilebis kanonis funqcionaluri maxasiaTeblebisaraparametruli Sefasebebi da gamoyeneba klasifikaciisda identifikaciis amocanebSi~ (spec.: 01.01.08 – ma-Tematikuri kibernetika). fizika–maTematikis mecnierebaTa doqtorissamecniero xarisxis mosapoveblad disertacia waredginaivane javaxiSvilis sax. Tbilisis saxelmwifo universitetisPh.M.01.08 sadisertacio sabWos. dainiSna dacvis dRe...dacvamde ramdenime dRiT adre, 57 wlis asakSi wavidaCvengan batoni revazi da dagvitova didi gulistkivili.imdenad didi iyo am SemTxvevis rezonansi saqarTvelos samecnierosazogadoebaSi, rom moxda uprecedento SemTxveva maTematikosebsSoris saqarTvelos istoriaSi. daniSnul drosSedga zemoT aRniSnuli sabWos sxdoma, sadac disertantisrolSi iyo konsultanti, batoni elizbar nadaraia.naSromis mecnieruli siaxle mdgomareobs SemdegSi: ganawilebis funqcionaluri maxasiaTeblebis araparametrulSefasebaTa zogadi klasisaTvis Seswavliliaintegraluri kvadratuli gadaxris zRvariTiganawileba. arsebiTad, es klasi moicavsbevr cnobil Sefasebas, rogoricaa, magaliTad, ganawilebissimkvrivis gulovani da proeqciuli tipisSefasebebi, histogramebi, regresiis mrudis gulovaniSefaseba, regresogramebi, riskis funqciisgulovani Sefaseba da a.S. moZebnilia kvadratuli gadaxris zRvariTi gadawilebaTiTqmis yvela zemoT CamoTvlili funqcionalurimaxasiaTeblebis SefasebisaTvis friad zogadpirobebSi, amasTanave pirvelad iqna Seswavlilikvadratuli gadaxris zRvariTi ganawileba regresogramis,`SeSfoTebuli~ regresiis (bernSteinisamocana) da riskis funqciisaTvis.9
Page 1 and 2: soxumis saxelmwifo universitetisoxu
Page 3 and 4: SOKHUMI STATE UNIVERSITYSOKHUMI STA
Page 5 and 6: s a r C e v ielizbar nadaraia, petr
Page 7: soxumis saxelmwifo universitetis Sr
Page 11 and 12: sadisertacio sabWom erTxmad, faruli
Page 13 and 14: F xThe problem consists in estimati
Page 15 and 16: 11,x 0,1 ,1 x u KduF2x 1h h0
Page 17 and 18: Proof. We have 11h 1sup x u1 Kdu
Page 19 and 20: and, by virtue of (9),S2 n 0 as n
Page 21 and 22: 1 F2nn 1O nh uniformly with respect
Page 23 and 24: Tn2 1aang1a2ag1d2 dxN0, ,x FˆxFxu
Page 25 and 26: Analogously,1n 0 as n . (30)Now l
Page 27 and 28: (2) In the conditions of the item (
Page 29 and 30: Tndt W t a11. (39)To prove (39), i
Page 31 and 32: Let be the critical value, G .
Page 33 and 34: soxumis saxelmwifo universitetis Sr
Page 35 and 36: which we will try to overcome by as
Page 37 and 38: wheretaket u2t b a 1p ,
Page 39 and 40: Let us study the expression (6) for
Page 41 and 42: may be negative. This mayhappen in
Page 43 and 44: elizbar nadaraia, mzia facacia,grig
Page 45 and 46: applications from the view-point of
Page 47 and 48: ample, Mankiewicz generator, Baker
Page 49 and 50: ( ii ) (" x)( x О Ў Ґ \ И B Ю
Page 51 and 52: REFERENCES1. L. Kuipers and H. Nied
Page 53 and 54: soxumis saxelmwifo universitetis Sr
Page 55 and 56: Let ,...kw represent the Walsh func
Page 57 and 58: a)measureonb) conjugate Fejйr mean
Page 59 and 60:
1 1 1K m l D m kl1l2 /212/3l2 2k2m
Page 61 and 62:
mes x y I D D x y c2 2/3,2/3m{( , )
Page 63 and 64:
REFERENCES1. A. Garsia. Topic in al
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soxumis saxelmwifo universitetis Sr
Page 67 and 68:
- PR - is an orthogonal cylinder,
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g( ) :[0,2h] [0,2h](4)and if h = 1
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•nGeneralized Möbius Listing's b
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n- n - the “Number or twisting”
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nn n Rcos sin( ) sin cos( );2
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L( , ) = 0;M ( , ) =2N( , ) =nR
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Definition 3. If the “B-line” i
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T TˆTˆB,kB,k Tˆ2k1ˆ , ˆ ˆ
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Let us consider now the general cas
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nTheorem 2. If the GML 2 surface is
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of the components is anGML 2 and th
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the tangential vectors of the new o
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tion of experts which can to wage i
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considers an antagonism case as equ
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3. Model of ignoring of an opposite
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N20 NN2(t)=10 te +2( N N ) t 210
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At t [ 0, ), N3(t ) , when t .
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N220N 10+ N210 N20 t2De N10 N201t1
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Let's really copy (3.5) - (3.7) as
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As to the international organizatio
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2 N0 t ln N2010 N N1020828(4.33
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5. M. Hananashvili. Information str
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Page 115 and 116:
Russia, though with delay, operates
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al organizations (the United Nation
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The third side initially does not s
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3. D = 2 8< 0N230N3(t )=2N10 N202
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2N10 2N30The sign N1(t)at big t def
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1 N10 N20t = Dln N30N 10N20
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whenceN210N 20 1e 2t- A= 0 ,e 2t =
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As in the right part of the last pa
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then, the antagonistic sides under
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1
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t0F .Thus, when,30The lemma is prov
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As for N1(t ), N1(t ) , at t ,
Page 140 and 141:
наукових праць Інс
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1. Let, D x x, x2,,x ,2. The state
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Let h hbe the partial-time mesh o
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148 (1)Let's notice that W 2 -- is
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p 1By t F,where0 0B E R E , y y
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theorem 3.1 it is easily possible t
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hamlet melaZeorSriani faqtorizebuli
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ods used for numerical solution of
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u(1)x1 b2b1 x1( x1) 1 2, (7)b b b
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x b b x b x 1 2 1 1 1 1u( x1) 1
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( N )2 1 ( N )2 2 y 0 , z 0 , (20)(
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21k(1) ( i)z h h f x2andx2b21 N
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z(1) z(1)1 z(1)2b2 xb2b1 bxb(1)22b2
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sadac − wibos sigrZea, xolo f( x
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170 Tavisufali adamianebis raodenob
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momentSi marTvadi adamianebis raode
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(2.9)am SemTxvevaSi, (2.9)-is anali
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, miiswrafvis nulisken (Zlieri zewo
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da sabolood miviRebT tolobasamrigad
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180TEMUR CHILACHAVA, TSIALA DZIDZIG
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ciala ZiZiguri - soxumis saxelmwifo
Page 184 and 185:
Jurnalis TematikaJurnali aqveynebs
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