EIo.TIJIETEHb - nsc.ru · 2016-05-31 · .\TIAJENII{.fl HAyt( CCCP Cr{EI4PCI(OE OTAEJTEHITE...

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Transcript of EIo.TIJIETEHb - nsc.ru · 2016-05-31 · .\TIAJENII{.fl HAyt( CCCP Cr{EI4PCI(OE OTAEJTEHITE...

Page 1: EIo.TIJIETEHb - nsc.ru · 2016-05-31 · .\TIAJENII{.fl HAyt( CCCP Cr{EI4PCI(OE OTAEJTEHITE CIIEIIPCT(OE MATEMATI{IIECKOE OEIUECTBO EIo.TIJIETEHb CIIBHPCKOTO MATEMATHIIECKOTO OEIIIBCTBA

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OeeBepoe Bace,qame Clffi coetofi.trocr 23 @apa.rn 1990 t'.C gonnqgou "fiurerpa.mxan reoueryrfi u penegf,e Batraq asa"msa"Bucryrxn qn(leceop C.I,h@ (!docnsa).

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6) Itpyrmre pesy.lbraru no roHeqHo-aftet{oMarrrsr{pyeilil ieopraaunoJrlnrsp; )bnSou, ll.I.Ilepe"srbrt,ttsn n B.H.3u.nrdepou.

s) Cne,qyer oruerfiTb Eporpece B nsJrqeHrlr re!&f,bHe Kareroplr-qrr[ reopilfi . (B.l{.3ra.rb6ep, l.9ep:tmr, Jl.Xapponrrron, A.Jlaxnas),

r) B noelre,qxee Bpeua trHTeHer{BHo saxnuanlca sa py6eron rtpo-6.lleua^uu Boora u naxrana o qne.re cqerHlrx uoge.ref, no.lxofi ?eopur{

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,4oHiAru IiA 3A0flXAril4ffi C[{0^Ft_--.rT_-*:tr

(.u.ue.qaxr n,JlaxJlaH, Jt AeppHl{r 'FoH, $aHfiaB, ui,{ .raH} .

g1 llpogoJrxaer pasnnBa?uen odaactt, cBflsaHltag e usyr{eHueMognopoJ{}Ilfx lotogexefi (C.llle.nax, A.Jlax.ran, l.QeplsH, It,S.K3rgaf;dep-

renos) "e) ilnenetawrsrr3Tcfi nepeneHTHBHHMr4 r4eCI.Ee"qoBeHfifi eneKTpa.[b-

mrx Synrqnfi no*rux reopnfi s 6eeroHeqr$Dc flgut{an. I{s ruenq}rxofis,qecb pe3ynbTaroE orMerH!,{ peeyJlbrarbr C.lileaaxa u E.A.lIanFTi{Ha"

x) B HacTosulee BpeME ilMeroTes KpyHHI{e pesyxbraru H& etuftereCIpl4!{ laogenelt 14 yru:Bepca"nrsofi zurredlx (&.JI,Epon, E,A"[Ia-iloEI4H,C.fusaut, Bappuc, Har}(eneu, Fzutpynn, B.A.lspSynog) "

n. Teoperuxo-MogenbFrafl arlre6pa.Han6onee ynTepecnue pesynbrart noJrJruellx B eJle,rurnqnc pag-

Eenax .qanHoro HanpaBJIeH$.a" Otu pasgenr eoxpanffor rax?re nepcner-TnBy AanrHefiuero paBBI{TI,tg.

a) OaeraeHrapHHe reopvu rlorefr (F"JI.Epmoa, Ban-g.n-9n"..,A.Marunrafip).

6) ipynru c paHrou Mopar,r (8.!i,3ulr6ep, I"I{epluH, A.Bopo-

enn, A.llarrxtafip, Jlaerap, B"ilyaoa).n) Sneuexrapr{'Ie reopi4tl 'il.owner (Bayp, Iapasar"rnR, Ilunnep).

r) Teopran a6e.nenmr npynn s 6eenoxeqlfiD( ffsbrrax (C.lllelax,

Sraeep, i{eplep, E.A.llanotrn) .Baxr*un npr,rroneHueu MerogoB Teopriru uogerefi fBngaTcs nprade-

rreHue Meroga Hectal{gaprl{Hx Mogerefi' s paonnqHrD( pasgeJlafr Mareua-rrrra ( "Ileetaqqaprrufi u dy.neroeHaqrufi aHarus", A,f'.Kyepaen), H€-eraHlaprlrue MeroAI{ B Teopnx Bepof,Trlocrefi , Merogg ynbrpalrponeBe-geHufi n Hacbrqe!ffibDc Mofienefi B aJtredpe " lleclegoBaHus reopert4ro-MotrenbHDtx egofietn noJlefi c grcnoHemofi TecHo DBailMoeBfiBaHH c I4e-eJregonanllaMr,r B o d.nacru .qr,rQ{epenr{HzurbrrbDc ypanHenufi .

Baxmn'r npe4craBJrf,ercfi r,rslruexl{e esgeefi Teopl4r,t KoHcrpyKTr4B-H[rn Mollenefi e nerJlacc?rqec8r,tMl4 JIor!4KaM!{.

HElgtacca{Eclfltr n0nIKI,l }1 TEoPIff ICITASATEIIbCTB

I{enrpa.nrffi{Mr4 npodre.rauu B eTr4x ilecJle.q,oBal{r{flx gBJIRmTcfi npo.-6.rerr,cr ceMaHTnK!{ !{ anropuTMrfltecnrrx cBoftcrB pasnr,IttHbD( $opuaarnuxcr{creM, paopa6orfta MerogoB gnf, nocrpoelir,rg $opuamsaqrfi paaar4q-I{bD( noHgltlil rnna ttnpo6reMattr "peueHne"r t'Bqgaua"r ",q,ofta3&TeJlb-erBo", "gora3yeMot', ttncrrlHHo" H T.4. Baxnoe Mecro B 'rx peuleHnr,tnprHqgneilrlr Hccre[oBaHr!fiM no npo6reM&M paspa6olnu neuueaenufr

IO

I ]

nOIffAJFI iiA. 3ACF,nAHI4tr C1,{0Btteoxrtx flopfigroB, reque.Eenrfi e deexeHeqrmrn {rop4yx&Mn r,t odo6-qeHroilH ffBaHTopaMH, atrop't?MnqeeftHx csofiets xop*r( rc lfi( enssofic reopnefi uHor.oo6pagufir u KBasrlrtoroo6pasx*, e rcopr+ef; Konerpyn-TtrBr{tf)c uo4e.nefi , nogrpoenxm ?eopnfi Mogetrefi gxn fiHtyfiqnoxxereftoroI4ctrltcreHun, npo6JIeM $.raeeusraraqrn. IfuEeneuts!{He rteeJregopenflE Borofi o6lacrr4 npoBogfirsf, B Haerosqee BpeMF B OCCP, CMn lhxqrle,OPf, l*ryluu, HngepJraqqax, iDrxanngun, I'lra"rrur, Ilo.nsme, Bexrpru,Bomapuu, flnonun, Aserpni{, Ho3oaenagilEa fi spyrnx 6rIiggag,

Ocod$c poJlb cpeAr4 MHoroqnc.[err&rJ( HerJlaccnqeenrx rornfi r{r-pae? r4HTyr4l{honr{erexafi Jrorr4xa. Ha 6ase eroft RorHEn Eoc?poerc{ r4H-TyHIIT{OHi,{CTefie^E MATerlraTuI(a H KoHerpyfiTt4BH&fi MaTeMA?Hfia. B nOC-Jregl{r4e rogbl SHaqr4TeJIbHo BoSpoc trHTepee K MogaJrrnofr aornne BBn-

"qy BHaBr4sneficg eBfi3r4 erofr xorur$n e Jlot.I,rrrecKrrMu oeHoBa^r{i4 IIpo-rparlMnpoBanr,rg. Dra csggr odycaon.rrBaer rirr4potr{e nepcneKTHBH npu-MeHeHilfi MeTo.q,oB il PeeyluragoB Mo,Ezuttnoft JIorHfir B paggi,ttr4ri Teo-pr4r4 nporpaMMnponanrla, lfanprauep, Er.rpono r4oBecrnea guHamr,rqecxa^E

.rorrfta Xapena (CIllAl Moiler paccMarpr{Earbca xax ododq€H}ie McAaJrb-nofi roruxn, a pagJlr"flrHne cucreun Mo.qeJlrnoft aorltrlt * xar fparrrleH-Tu Al,tnauilqecmofi Jlorr4rr,r" Cncremr atlrop!{TMrrrecnofi norvlt*l nocfpoe-IrH i,t r4ccne&ynTeg [oJrbcr]rMr,r Jrornra^Mn (Pacenofi, Ca.nrnnqr[M). B

Hacroflqee Bpelufi reorpa4pua uccnegoBaxufi no grxaMlrrecft!{t{ 14 &rrro-pI,ITMIFI9CKHM JIOWIKaJd OrIeHb IIIHpOKA.

B nocre,qHee AecfiTl{.tterrae a$THBFro Beryrcg rrccJreAogaHn.g rtoMOEaJrbrt'M JrornftaM, cB83&Hlrhre c AofiagyeHocTr{ofi uxrepnperaquefiMogaJlbHosrefi , Ilepenenrr{B}rocrb }rec.[egoBalrnft 6uta BbrfiEJreH& Cono-

aeeu (l{sparm),,qora$&Entr4M no.nx{ory Hegoro[E{x MogaJrb}&m cncreM,o?Hocr{TeJluno ranofi uHrepnpera!.{Hu. Padoru ts g?oM HanpatsJrefli,u{npoBoEf,Tcs n Moertre, HrruuHsss, V*anuu, ffllfL.

Salteren pocr lrnrepeca r Her(raccrqecnr{M .[orr{Kau rarof,e B Br4-

Ay rfi [pr{MeneHufi n reopu}i MHo[ecrB r,r Hecrargaprnou aHaJruse,Ifueeres B BxEy MeroA BHHJnueHm (Oopcnrr) Hosxa, np neHernrfi n

AOKASa?etIbCtBaX HeBaB}|eHUOCTt{ B TeOpHH rrt}to'feCtB. 0XasaJlgeb, rfTo

oH ocxoBalr Ha rofi ne 4Ee€, q?o fi peJrf,qfioltHan ceuanly4.a l[punre

.qrf, r{Ifrsfnqronncrcroil .norgxn. fugsagHs cBtsb uHty}rqxonuclcnoil lo-rrrH n TeopHlr TonoeoB.

Pc.nrrFomraf, ceragllfi(a r.o.qaJrbHofi n rxrynqroHxcrcxofi lorur,nocrpoenr&r llpunxe r.r Xnmnxro'fi raJra ro.[rrot r pa$Brrr]rD Teopnnuoge.rel Heruracerqecrrx rorrr 0rrsrxr, 8oaeH, Ikttrrtnuqnc, fad-,

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TOiffiATH HA sACI[A}II4tr( 6MOt.q"*

""*"*B.Tn.re" Padatamt ng grofi npo6aemarxre o*rerbg[re HceJre,qonareJrsu a CCCP: Mccrsa, A"nua-Ara, Ilepeae.ran,nr-Saaeeer[fi, Bnrbriloe,lloaocu6upcx.

Ha nm BsrJIqg, cenonHtfe HeeJrenoBan!{n B MareMaruqeeroil ro-ruffe [p]tMeHi4TeJIbHo ft nporpeJdur,{poBar.r}rn gon:ixu dusr eocpesoroqeHbrHA CJre$mqrx nF'o6.EeMax:

I, Pagpadorxa HoBu:( ruogeaeft Bs.rnsrr,rMocrr,r! Moryqrnr eocra-Br,rrb Halrqlryic ocnony Ka$ flepcnenruBisrx crcreM cnequSuxaquu ilnporpauMltponaHnfi , ?a$ i4 Ew"iueJrr{TeJrb}rrift ycrpollcrn Horru( rroroJre-til fr"

P. Paapatlorra fisbrKoB cnerinsnraqufr ua daae reopnra $opualtr-noro Hepapxurrecroro fisnr{a, BKirroqanqero s ce6fl ner Eectpnnrnr-mile 14 HMneparr4BHble, f&K H Aer{napaTnBHhre KoHcTpyKLIr{?r.

3. ilayuegre aJlropurMwrecxofi cJlomHocrlr B ftorixpell'l$f{ cHCT€-Max Ha 6aae reopfirl aJrropr{TMoB. Pagpa6otra o6qnx cnocodos BHAe-Jrenr{s Hs KJIaccoB ce{creM nogr(Jlaccos c dscrpo padorercqraur,{ aJrro-pI4TMAMI,I H 8r{JtCIqtrlriu$,tMr4 B Ce6s SCe CfiCTeMU r43 npaKT}Trree$}r r4HTe-pecHoro lorB,eca cHc?eM,

4. HccaegoBanr4e coorBBTcrBuE Mer,.qy enequft:araquefi noncrpyn*rtrulA ,r ca^uor,l $onerpynr;nefi (rtrefrAr eseqr,nlnxariraefi n nponpa"lruofi,orificaHilelrt ,t MogeJlbn) . Paspa6orra na dage Teopr{r,t nOBuTHB}IHX rlKoI{crpyrcTt4Etthtx uo;1elefi , Mercr.qrf,B adcrpartnhDc Ttrnon [aHH$x.

5" Paapadcrxa np!,rrna,qHoft .noruxia KaK Mero4oror?Frecrofi oc-Hosir COBpeMeHHHX MeTOIIOB MA?eMaTifileCKOrO MogeJrr4potsafir4fi .

6" Congaxxe $opr'ra.irbl{brx cncreM .qJr.fi 6as}ren6E noncrpyr(ttufr uMeroEcB MareMarnxr4 u usyqeriue o6qnx csofierts or!{x xonctpyr4raff.PaspaCo'rita *drylrx Merogots padoru c Mareuartlqecxr4Mtr MogeJrfll,{r4 14rdccJie"qoBa.Hr{e }!x BesraMogefi crgufi .

L+

HEPEIIETHHE gAIAIITT gOBPHE[ffiofi UAInIATUKI{

[.ll.Cmpxon

Hml'oo5pAg{fi a.[IEEp r{ yc.[omfi f,A;[buEBA

l[nonoodlnear arnedp xorfi 6mr rolsocrbD BlacG@poBB-Er tro Ex rooprf, Xamgesa (rparro S -seolns),

S -Eeoprr rnoroodllasrfi 1]- coc?orr Es orpounx ycronuilIta.rrqega, Brlrorgmf,r. B stfr moroodpagm" l(alEoe garoo ycrogreEpqgcras.Erel co6ofi roaeqsm ronbunp lneercrra

(M) p.= Q,,& . . . &, pr, = g.x ,n n o r o l n f ; P ' , , Q 1 , . . . , P x ' Q x - f e l 5 ?cooTaBrBEue Epx !flog K8g.r-rtr6o fyswoBafiDB[.r cuD€rfoB

1 r , . . . , 1 * E n e P 6 l l a E E x S , , . . - ' 0 r u

crlnnoe ycronno (M) cqr?aeton nrrqgffienfl p xuoroodpamU , eetrr sstnrrcs ratse reprr l, ,. .- , i *

of Cr,..., f ru , odlnaogaEEte o! ocECIEEbIx oaepaqgt n1$ , qro &[s Bcsr a.m6p rs U B€I]nn toE[goBEsEEre coorro-

NEITf,

( t ' , . . . , r " ) = q , ( c , , . . 6 , c r r ) . , L : ' ! , . . . , K ,P 'rtrE pi , Q i tro{yrrartsf, ooorEerorsonno re pt, q I 88-

rcaot rasoro Ereor& $,, Ea T, .Coaoryunocu 5 -reopil yolpodpaarl o?Eocrns,Ebro BEID-

qerlfi.rrD.[8erca tomol penerrot II j , Eofol[f'Is m o&enaqn q8-pot A . S?a uaoc&awoFfifi lreEcrra tnree? trIodsoe IrfiH'IrctGErf qpcno"arrcEne I a j , Ep! norcu soropore aprro. ro-easuuaGtea Gs mmryarErocrr" Opaxs, or1netrre Beuarxf, Arcra Eo Dnacreao, IlpegotarrrDr rnrsl)oc c.f,erytlga Egrltocr.

Bo,spqc"J, Eyrer rr pororrs A reryrqnol ?BoEoosT. Ifiosr I lrsrerra A

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tllg n coloDst olrclEoggfi troe!fl, rmopil slrretcs !or.-6 S -ceoprcl r ooorort rl oqprrr yo.mfr rarrqF'a, pslollb

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HEPEIIEHH{E zuAqg COATNHMOfi XATflAIUKI{

uunr B moroodpasrnr Ilocra decroseqsoro uolngja).Boueoc 9. Iiari orrf,carb Eoseture trorpeueru penErru A ?,[pa rsorco6lnsrn a.medp rporcBonbunx cxrsarT(p Haaf,Bamo.E

S -arBuEa.[eHTuHm, ocJrr onx uilenr o.ury f, ry re S -Teo-pm.

Bonqgc 4. Itarona rorytocrb ugorecrBa r.lmccoD S -anBgla-.[eHrItHx uoroo6lngd a) xwtrE, 6) roleq (acaorrarrnuux, Jrue-sux) ?

Borroog 5. Bcsras .rn S -reollrfi T. e A od.Ea,uger HoeB-BEcuilff da3ltrcoi{, r.e. ralqot nesaBtrcEdx ilEofecrBou

iM ,, , Mr,,.. . ] crporux ycaouf, Ha"rrqesa, qro

Itpmep S -f€optrxr od.ra.qaref negassccubrlr 6agucom,y r € s a r B [ g ] .

Kosesrur s.m 6ecroneqxa^E (cqerna^E) rgssmsrufi M,,V M.V...

crporarycaoaafrUa.urqeBa Mi , sroropot ML a,rerecMr'

r,rra Bcex [=1,L,... Ea$rBaerclt qpocro ycJlolf,eu Marr"qeBa.Caa6ur ycloBger Ma.mqeaa aaanBaerc.E cqersa.fr sousmnrtrs

c ,4c .& . . . ysoa l i l l l aJ [Bsesa c i ,n ro to1n i l c i B re -g e r C i * , - t r u i r . B c e . x L = 1 , L , . . . . , ^

nj&i tl - uuonooopaaue a.rre6p u Corr t) - srracc pene-tor ltourltyaurtnfi a"medp sa $ , BE3g u llq,c.m .qo*asaJl[,trror.rrrecruoroodp"r* [U/ Corrl ]p g

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rs Boxrpyen{rn alre6B roroplx ytroBnerBopffr}? gam{o(y peueroq-Borry ror[ecrgy t , oqpe,qe.Euu cnadru ycroBEeu Ma.xsqetra,

Bosglc--l0' (cx. ta ] ). orye,qe.ilux JIn KJIacc

{U/Coru U F SJ ycJrotsEelr Maasuesa npu mdox t ?

JI,nn nenoropux t , Haqpmep, r,lrfl ToryectBa lucrprdyrsg-,trocrutdist'l rrJrg Toffiecraa MoryJrqpxocrx ( rnocl ) , or-Ber ygoBlergopgreJrbr[rfi. B [5 ] ,qoxaBago, Eso zuracc uuoroodpa-sstt

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[U/ Con 1] F €, & rnod I

oqpe.[erw yc.[onlgt l{amqena &rn decroselluort ffiorecrBa Sgaqe-rBfi t, . IIo I qenou Borpoc 6 otxpur.

.[4n peuerotrrtsr xDggtrorlecra o6cylgarca cxo.wrt

Eg!pgg-?, (om Ia Jl . ItE Bcffsoro S pene'noqnorq tna8f,ro-q[ecrla 0

' rlacc ruomoo1naril 11] / Coru 1] F t t

oqperalrx oaadm yoJlolrer ta.[bqeEa ?

nrteprypaI. CrapnoB I.N. Ictorrs Ha.urqosa f, qpetrcraauocll rgor!-

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sAr- 1984.- T. 23, I 3.- C. 296-.304.3. CnrpnoB l,f,. ffaaccu lla.raqeaa e Barausu cgofrctail//

A.me6Ba x torrua.- I9B?.- T. 26, f 2.- C. 204-219.

4. Jorussoru B. Conqr"u&ruc,e, vo.p,rtLws ll /,laehro"U , rwveps . rg80 . - Vo { I r o ' No 5 . - P . 3 r r :7q4

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HEPEIIEHHHE 8AIAqil COBTAffiMgCft HATffiATTIKTT

A.f .lLacumoB, B. H, PexecJIeEEEroB,JIOfl{IU IOHEqHHI 1TIIIOB B TM}H}I THYIIN

llsyrenne alre6parqecrnx o6rerros rgopertro.rofle.EDru[retorgltx BEIIBTJIo Eeroorars oduuofi .Eorng rlepBoro trollg$a,odyc.ronnentrse ee caadofi nupaaurearuot cuot. B csasr G 9!rro6ocHogana not[mna ltt)lafierafb r,Efi xgyqemfi a,,medparqecEfx cxc-rex 6oaee c&rrDHue rorf,F[. f,elare.lono, qrodu B Ettx 6um cqpaBe-&ltf,8H ocHoBuf,e ntraccEqecrue reopsxE, .m6o rg alraJ[orB. c 447m1cropoEr' IlasyrEo rpe6oaatr Butro.unegxs ycnoarfi, odecueunaryrroporlf,e "rpnr,na,que" raqecrga g4Jlaxgofi nomrcn lrBgtleurse.lbgo Ia.rre6pe. Taras "alre6lnxlecnaff rolu&ar, tto-BqlE[or{r, Ao.[Ga3a) ooleprarr oduuryl Jomsy trepsoro tropqs8; 6) .qoryoBarl rpa-JWoHHHe lFrrrrnue a.nre$parqecge trOc1,1,oegrsi g) Esparalb Bactoil 89Hre sar60ree ynorpe6rre.[EEEe aaredparqectce troEsnra;r) lorycretD rolD& @gyn (ucraanana), orseqarye pasF-tnr{ rlp6oBarf,fir ai$emrauocrr; .q) colpagmr areresrapqyl erEE-BalerrEoctr o6rearoB qpl ocuoautrr aare6lnrrecm Boscrf,IyryEx;e) nogBoJflrb yro6ryT Elacc@a@ cxcrer tro f,x rorrqecuucaotcrgau B ectectBeEgEr a.uredparqecsr rfiaccax; r) ne ErxoF F8a paxrf, rorru

CBeIl tarlttrfiasog Ea no,rtodnre i[orng B Ealter clfrae nardo-qrd xmepec qpercmBnfier coadas rorxra BoEeqEEr trtroB ( cu.[t ] I r B Eeroro1xfi c.qFra.Ex, HanpueB, Epr myqenr cgodoJEr

rxXfiulogux roxctpyr@, tu -trorxna.Gryqecrryrl JFa rctrIolB n f,ccre,[onaan a.[re6lnnreorot crc-

mrur U[ B pacn{pemol trorExe. IIln uepaor lorrore f,syqaDt ca-ry cf,oterqy UL ; Fo qpx eror, Ipoue i[oplya Jortn neltBono tro-palra (yl,l[) rorycrapt do.rree c.louue BHctraBHEaEs. TaB B J[orrraB arcraguBaarf, o crctere o Erorfir Eafy?a.[Exue qfc.Ea, 8 Bc.ra6ot rorrre rouelrglr rrtroB ( H F -aorue) gorycem 6ec-ronetrue tDoprym ctreua.,rbsono rxtra (cu. I e ] aamal r', ).

IIBI &yror rotrlole, paBaocrrrDnor treplorry, rono ilectocgcterr A xgyrlatr se pacupenre-Ea;[crpof,ry saf U , Bosaro JrIs cperctBarl yllu. c arot losl speufa, roropa.E nar 6oaeetrI06ra' crclen U[ B U -norrre cyqectByet lqfrcc'o'-rafi tD -rcIe"rl ( Ut , ll\

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oo.rpouo H F ( W) r. p{po.r,srfrer&E cJleryw o61neon. .ll4r

qpofaBoJlbnoro MltorocrBa M odosuaqut qopet F (M ) ntso*e-

ce3o Bcex EoEeqHEx IIoIp1HoreorB M' B nycrb A - ocgoB-

EOe uotecrBo cugTemr (J[ . Ilonoma

Ao=F(A),A,, ' :F(A uA*) - , F (A.) :u A,n' € u.)

Torra HF (UL) - rsy:rocuoguas uone.rb Brra

HF(tt l ) :<ut,HF(At, a ) ,rre ) - gpeltrsa? qpu'arresoorx sa A u H-F.(A )'

i{e reopm lorycrtrffix upoleotrB sgBecrso I g ] , III9 MoEeJIb

H F(0) tro3goffIes qopra.rsgo3al6 {ruugune Paccyryesus' [psqeg

nalggfi Sogryaa figufia arofi HoIe.E eFHEtr o6lnaox sepegcuBaeT-

cfi B uerorollfr na([$erruruyn" iFln4figt frEHI€Lr.r l2 J . IH-

IlasEreJIbEe Boglrornocrtr Hole.m H F (0 ) raxae gocraroqEo uu-

pog: Eaqp5;rcp, .n6aa rogorl):rs1uBsa^fr 8.me6pa c roqgoc1bn Ao

rcouol1p63xa orpegeJlfierca ogofi Sofnrylof, H F -Jorf,sgi csofi-

erna 6rnE aoseqno tropol[exnof, aredpofi, cBo6o.qgofi aredlnfi xo-

neqgoro DaIEa, qprun&1e3agb xopolllo lamryotqy mOroodtrngnl] H-

InSUtt a i-i , -IO3EEg. Tanu o6p,aaou, i--i l- -;1ortrra B;1OICS

yIoB.[eTBoI]Eer ycJonxsr 8), d) t j), r), r) Ha "a.medlnuqecsyD

310169r'. Eyger goBaBaIIo, qro H F -JIorEna ecrscfBemo Boggtrraer

qpr xBytroxE onodo$Ux noncqrypogil B rxtynnax. Peneme @rnv-

.If,DOEaEHIrI EIIe Salgq trorK):lE? Elffe8f,Tb BOSIoEOCTI fi ' -.nOIl!-

s B "oopo.at

fl F -nnacc{@ary a.me6parqecxu cf,creu.I . @ . [ Y c r r A I b - x ? Y s m "

Ilrre 6ynn paccratpraarbca gTggrqge roEcluFss: cro6o6a.a

T -l"lp"iop'a^n i*-"f (X, A ) c 6asot X ; orodq*oeqllglsBeleme IIXyIIE fix b ' qllE()e c[rsleExe IPytrEAZb .

qeroqxclemoe ITIFInoBoe rornqp Z A . 06sqg8^fl IorEBa mBg6-

ro troltqfa. E;oxl rp6pgooo6lem IEI 1rytrog111 oBofoprx Bogcs-

gyt@, Ioc3grl[Eao e6 cIpIc?BaIr BeEq1tg3trc eaIO [oEf,rle "OBO-

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!ffiEflffiME SAJIAIM COBPnIEMOfi HATANTT,IKU

6oJFo. tgorse seoperrro.rrotroJrbnHe Borlrocs o eBo6olptx Roac!-pruflx oT{purE Io err trop.

Peueme cJrerurryr Borr;ncoB ttorcre? yacfif,Tl, Hecso[bnoH F *rro.rsroa yIo6E3 trptr E3yqeHqr crodoEx roxorpSrrc@. Iora-

B a l r o B I s ] , m o F ( X n ) n L A a 6 c o . r m c s o ( r . e . 6 e a n u o -nF Korcrasr) oqpererogrr B HF (A) r snasrHF -anBrEarrerFrHocrb A Fo A r nrerrel H F -ssBrB&EGsrsoc$F(X,A);F(X,A)

RZA=7L 4 , ,

I l p o d r r e u a I . I l y c u A = A . t r b F b n ,Bepuo .rn, qro rorra HF

a) f l *B

d) f fz Bs) uo.qo6co a), so rrfi H NN -IlacrnrFesnt u csodoJutrrx

lporgBe.Ielrnfi B trolxotrnry,r @pry.mpoarax ?06Baryafi rsrnrrsarys &4r a) se Bepna, nocnoJrbsy oIEa n ra.

re rTIfIua f,orer 6um paaruwpun cnocodcm llasnorena s_cBo6oJ-noe rponnre.qer{Ee. Iiarpnrep, F. * F. = F. * L" ,

"o l-,,f lr;

0,qnosuaqaocrb IlasJIoteHEf trofiBJnrercs' ecilE otrsroBpeuemo C' qpJru-nof, lnccxarpf,Barb E FyHxsSn Inruu sa sefi. Taxofi Eo,u,xo.q - trprB-relerne trynrqru lrmil{ n^cgpaprp{ - d$, Ipg{ngffH B 13,4,6 .| .B LS l toraeaso, l t ro ug t - \H.D / -nrh- , \ t , LJ i cne.rger

A ,. B,F C : D. ( sse* P (n., b ) -Eoru)yrm, oqperere'treroro lnf l " i lu , B[B] ) .

Korcrlryxrgn tr$mroro cnterentrs rrpym x r1eJroqf,c.[ennoro notrbFqa ue coxl)arlflrn oneuoHrapsyD aEBxBa.[eE8Eoc8s B. norxrye tref,]Eorouops.{tra. Haqpnrep, Herlxrrgo.qoragar5, qro Az A # AL B

nT-A+- [ - b , " r , A -dec ronoq 'a .EErs raqec t " " ,bEpnras cyrola 6ecrouepuof, rwtmqecrofi u a.qgrf,Buofi rpynmr palso-Ea.[bBHx tmceJ, A = D tro reopexe B.llhteaeDofl.

C.neryWe qndlreur - trotrtrTra @lnrynrpoBarb Ba flBHre HF -.[orrm rcpurepuf, arerenrapuofi anrBarexrnocrx cnrerelgfi .

HEPSilEHTE 3AIAqil COBFAIEHIOft IIATEI{AII,IKTI

H F

H F

A.*b, .?

A, , B, , ?

Ilpqdaexa ?. Iortasastr, tno A t B -: C zQ (na saureyrfi) corm u ro.m*o rorra, Korra A - C (sa sasre YIIII) u

b ,=A (HF - ro tuce) .Ilpodaema 3. IlorodRa r1lodseua 2, roarso yc.lroBf,eB

=1110

saueuur saob CI -usorcolgnaD "(sosarne tr -trBo-uo1@nra cu. B tr. 2).

[rs opsesrqpoBm qpn Bcuentrf, Eanx,4n6ueu qpmelor rsBec-rnre dgngru,e Degy.[bfa$r.

I l y c r r G - ^ : . m 6 o F ( X . , A ) , . m d o f t * b . K a s o r yaaereuly Q € tt o,I6oggaqno cotroctagxfiBtlcs Earypar'Eoe tmc$o

lgl -"$srsa g . He peayrurratoB p.Jlrnlogs L zJ cuery-er, gfo nan cgodopte rTlruIru, !8K u cgodo.qge EInmBetreEgS{|trtrtr aBclraslllecu x;8pa$[epx8vmc8 B nfiaece Bosx I'I]yEtr meH-Ro salrlmextffingmnruurll: 6 -lN e oqperereuxsru esofi-crBailx. Cae4oqaro.4rgo, E orolr c.ryqae {J - rm4e.[b

G, = (G,lN; l l ) Bostrrraer ecrec?Beff io u l lo cyEecrry.Ilogo-dnu odpasox g,m.qe.rorrf,c.lemoao r]TlrruroBoro romqa Z A{rmqsrms |ltLA + [\ oqpe.qerserossoifoprryre

l r v r a l + . . . * r u s c L r l : S r r n r e o i * e j e f , , 0 * r u , e ] L

! LAr:(V-A,N,[ ; l l )

blrner mBoprr6, trro rypasrrenEure EoaHorsocrx cEcret U,n X ooBsa.Eapr (onos.mqeclsf, & in X, ), ecrn 0L n Xa6comtso (!.e. 6es sorory f,oucram) onpeaem oga E gly-rof,.

B Ia.ursef,nex IrE trIrocroln ippry.mlnror dygen ctrtrarb,qror l rynt raA decroseqsarb+1 3 G - r rxrs l roBa^EBoscrlXtrcgs orloro ra rpar orueqemu rsu6 rrnoE. Ilepnaa ryys-m pesyrbrarol rroraarnae!, tno tro upaaurealsoil crnc;nodaBtrG-me i[@ erer n noccrllru G ennEa.remso H F -Eare.-rpotxe rorolForp ame6parqesrono odrerra, f,s rc?olnl! cararoEcrUFcFF G ranonqeexr crporrcs a a.me61n, A nra@, E

20

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HEPtrIEHHHD SAIAqI4 COBPE[ffiMfi liATATAfi[fiII

I s ] oo*tr"oF(X.A) , !od,HF(A),

(qpuycsosu lx l ( ru )

B rsqecrge crelorBrs tror}rqen rBurepufi EmEaaresrnocru a (l)

Jrorme .qasux loscrlrypEfi c Fymrret nml B cf,rgat5lpe.HF (G ) r G ur roBorbgo doarme sa.qcrBohs os G o

Bropan tptIna pegy.EbraroB yragugaet 'lmmalblue* qgcro cnrga-

cyqectryes *€ Ff .,.* rarot, qto ? qpoloJ[raet I ue€&o** ,$e [ *g (ueqd"ong x [ *g . -

odtacrr oqptineaenrn f, suaiest g ).Iloodaerqa 4. Haf;m ycroEue ( i,rp ) na cucrerm L[ E X,

norodroe (I), raroe qm 0L = HF X rorra r rorDpo lorra,sorua tJL u X' ynoammopmr ( * nr ). Konrpe$srpy-er trpodaery'4.

Pacoronlmr yoaogre ( ;t * ), do.lee cr.[bgoe, tIff ( r, ):V*€ [\ oJrrpcfEyet troe.f,etrolars.[baoorr Fr,rui..., F**

Eeryoltrx morectB xoxeqnx qacrrtm'r lamo$uuor na Ut BX' ra*rx , . t r ro t rJr f i .udoro $ € F i r r r .L am u,mduxroEeq-

r i l r r X cA , Y_ b c rec lEyer *€ FL* r , * , rB -nof,, tro ? qpororraer I r Xe darru?.,\ fe tnu2Crcleu, ygoB[etBop@e ycaorun ( * * ), Easunamcs tDrsml$m.

Spodaem S.Bepso 1trtr, qlo W = HF X .:, 0Lraorcgna X ?

3. Sataroprqgoorb.

[ycrs L - Esrotopa.E trorlra. Eyler roBolrmb, qro cf,crs-na U, cqetxo Bareropxtlra D .[orlre L , e.m (f,. oqorua tr.u,ur .m6ol oqelaof, orereru X, rB L -grBrEa.EcE nogpr

(fl = t f- o.E6$rer reouolsnar (JL * X .Eylex ncgoprtrE, lrf,o orcrexa W oqpereroga L -@p-

ryaol, ees (I Gtrernaa E cyqecrsye? $otrryra tl aorma Lrasafi, qro .utrfi .m6ofr cqersofi crcrou X, m X F tp GEe-rye! 0t

- X, , llgsecrsas reoBrya l.cxorra ltg J yrBeIMa-

€r, IIro Ddas oqerfas otrcrem ogpegeelxa L o . ul -'So1rytot.fioucqno-gopor8eua.E ano6paneceaa cucrexa UL oEperoruaH F -qopry.ro! lors E BonDco rsrrg, rorra 1laxpma &

EeEEo oqBererena D apgerne i e r .Iluodren 6. Omcarr dterue r1ryrrm (a.uredBaresotse cro?e-

n), orlnge.rue H l- -@1ryaof,.Ilpodtrsn ?.. 0noau oqolno H F -ra?errprrrme r14rrrn

( a.uedlnrreclre cloren) .B Lg J rorsssno r !t!o torsqxo-Bolronerue rgfru arrf,Dtca

rttcrlol,rruE B H F -Drrrg.

A .b , a o&

LA^HF(P(A,B)),

*o .d . H F(A)

Typuue pacuupeuxf, G , go Balnsrra[bsot ouae Ee yctytraryeG , , , r H F ( G r ) . A m r e s t r o . r J l f l . r , , \ € G t r oG,; HF(G,)G, r HF (Gr ) . .Amres t ro . r J t n . r , , J€ G t r o -

ro rm , . t r , - ) = l r , l = l J l _ ' t r q t c rb ' . [ , [ f , upoc ro tg 'l b l>a . ro r rc tcu . - [ s ] ) Gr=o ,d . (G. ' - )

n B csny uepaofi rTyT[H BeaynbraroB tro.qo6nre srstrBaneuruocrscrrpa.EerJrxBrr u I,m l-ll- -Harcrpoer. Sarerm, qro IIoIIHTEg EBy-qestrflruore.nefi ( G,- ) B crysae org6oprxrTlrruncso6o.umxqporcBeremfi Aeaa.ruct pauBrrr I ro-rz ] , s qacruocru, 6uaa tro-&asana Eepaopeunocrl reopru Tb (( G; - ) ) . ^. Tetrepb,B cuny tro.ryqexmu pesyJrbraroB, Mo&o or Mo.qeaefi ( b ;

'., )

trepexogrs s coorBercrBJr@t H F -- Ea,[crpofirau, a BIIaqtrtBcflonbsoaarb Fce 6orarcrgo ffsusa H l- -JIorBt(u, Haxo&[ermer,,E'-oEr.l,lrilrx cnlrnarylturr pacruperyfi, atrEuBa.[eurnlx H Fnqgorpfire, FJfi Esgecrtsux sraccoa a.me6patrqeclmx cfcreu gpe.rcratsJrf,etca trocraro\rgo lrprBnenareabuofi ga,qgqefi.

2, Aua.nor uxptr 9pe$of,.xra.

Ilagornrq, sto Hole.m LLHH rortra E rorrbro sorlg, Ji(}rla,qo'are[E'oer' Ft *,..., F**qacrurrffi nawolSnarrcs ug 0Lycaoam (X):E m . d o r o t € l - i * , 1 ( D . ,

u X aJreuearapuo ergtrBarreur-V * € lN

- oyqecrgyer llocre-

Hegc?Ex lrHofecTB KoseqHH.x

B d\/ ' yIOBIOTBOIIfiilFE

u r ,Es .Dof l x e€A,8 .8

u)-

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HEFEiIEHHHE gAlAqil COBPWEHIOfi MATEIATI4KU

4. H F -rraccgfrEags.

C reopermoanoreJrEuofi roqrcn BpeIIEE sando[ee usyqeneunfin.fisrecs adeaenr qBylrnu u ro.[fi, I{urepeouo rnaccf,{ryposartsru ooserrs g H F -Jtorf,Bo.

Ilnodrreua g. H F -nuacc@rrgrporag a6e.reBu rpy[m.B 6o.nee yBHr rs[acoax a6e.uesnx rl,ytrtr rpodaeqy nracc@ma-

lwr uoe{o c{optqyJffipoBarb rollgee.Ilpod.eeua 9, Ilycpr A ^a b - peryItrponasulre a6enesu

p -r?xlElr. Tortra A = uF b rortrB r torgao rortrg, IorEa

xaBapragrs rarra y A u, b m6o noseqmr r paEHH, mdo oA-aoBpeuermo 6eeronews Lrfi Bcex peryBcunnux oBtrWaJIoB.

Jlmepaqrpa

1, Eaprafic .[. Bsereme B .[oru4f treproro nopswa//urpaB.rlo uareu.Jlor. Teopnr moreaefi.- M.: Ilayxar 1983.- 4.I.

2. 6e.[fleB B.fl,,Tafiqre U.A. 06 orefegraprurx csofictBaxargucreurgaJbno Barlcqyrux cucr.en/ /Yctrexr xatetr'salm.- 1979.-T. 34.- BB. 2. C. 39-94.

3, M.scrxlson A'.f. rPerecaerffioo B.H. S.reuentapnan gEE[Ba-Jlemsocrs cao60trIux oseparopsEr rpyntr c synsgefi IJIIlry r roEe-qno-tropolgemofi rXryruo8 otrepalop,os/ /Wwc;l6relbcne trxnaptrgulrrB Teopttr a.medlnrrecgx of,otor.- Honooudrpofi.- I98?.- Q. 3-T2.

4. lLrcmeoB A.T. rPexee,gerrrqoB B.H, Saeuenrapuas anBrBS-negrnocrr cso6orux EporsBeletuf;.- Horocr6rpcr, I98?.- 20 o.-(Ilperprrr/Af, CGtP. Cr6. o,rr-ntr€. Buwc.rrnre.mmrt EeHsF, s 7I8).

5" tlgcgrroB A.f. rPexecAennrrroB B,H. Teopermo-notre.uuueEOtrIlOcu reopltr rwrin//Togpocu anre6pu.- BHII. 4.- llmcr: f,m-Eellcuretcroe.- 1989,- C. 16-22,

6. Mgcg*toB A.I.,PexecreffioB B.H. ,lorycrnnle urofiecrnaB reoprr tyn// f,oroctdrlnr, 1988.- c. 3-25.-(Uperpmt/AliCCfiP. Cr6. otg.-sss. Buqlc.Earearnrf, qo[TP, n 803).

?.JIraIos P, rilXs II. Iioudnuaropga.E teopxa rpytrIl.- M.3Urp.- 1980.

8. Crormmo J[. Teopun IUrur E rpe.rrepsse Mlloroo$Basss//A.me6pr rotro.rrcmn. Baegetmg.- H.: Urp.- lW?.

HEPEIIEHHHE SAIAI&T COBPWEIIION MATWATI,IKI,I

9, Barwise J. Admlssible Sets and Struetures.

Berl in: Springer.-1975.1O. Ilyber-Dyson V. The und.ecid.ability of theory of

free groups with a length fr:nct lon// I lniv. Calgary, Math.Res.,- 197+. -N 221. -P.1-26.

11. llyber-Dyson V. Talki-ng about free groups in natu-

ral1y enriched- languages,// Couununs algebra. - 19?7. - Vo1.l .

P. 1163-1191.

12" l ibo lo. The -theory for free groups is und.eci-

d ,ab le / / J .Synb .1og . - 19?3 . - Vo l . 48 rN3 . - P . ' / oO- ' /O3 .

13. Scott D. T,ogic with denumerable long formulas and

finite stri-ng quantiters// ln the theory of Mod.els. -

Ansterd.am: North-Holland..-1965 .-P. 329-3+1 .

?I

t

(-+ 4 C

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l

HEPEIIEHHHE 3A[,AIM COBPETEIIMI ilATUIAIIIM

C.C.K;rtarerarge

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prnotn - rft)leret reolnrr rnorectB ,4[8 rocreloBaEtfi Eo8{perEtxrareratElrecnx o06eBsoD I trpodrer. Taloe reros mrytllm oy[F-crBeEgoe IreBBf,trG B rrocre@e rpllEatl .[er tr @IryJuDoaarf,clcefiqac B tectolrao Earpal.Eernl. Iaaanu xg EEr IaFo Eauoaona-gs rnfimiltegua.lEHtil aEart8 r 6ypao8Haq8rfr aEaJltS.

Ileproe ts EasBaEffi Beqpgarcrilt Eorel Ba oEo ocf,oDouotror-Errfl A.Po6rncotril qacto EaBEBaD! Eqpagrte.lru ro?g r Eeoro.ErrBo soyleqnu telrruon - recraqnalnrol aEaJms (reueBr qaqe ro-Boprr ruaccrtlecrril uu lndracoxogcxril seoraqlalnnfi nFaFrB).llSmrresua.trEndl af,agg,rapamepxgyorcs qpom rc&rtgogaru-er .{aBuo fSDecEEr I qpaBtrre eoSecrBoSEaErE, Eo sSEIreqeEErxloirnoe EpsE E rarenrrre 20 Beaa, BoEqgEIrl, cBfisansxr c gpe-.{craarenf,m o6 arrya.urrot 6eoroseqgo 6o.c@r I anya.[bno 6ec-roEErtEo xa^lnl Ea[IlItEajI. Podlucogoacrril geeSaqlap8Eld 8raFr86y?uo paslfBaetca x yre Baoc rartttarBns nreErf, B eroreqfodqerarrerrqsorcr qpelcrarrcnt. IlpeIEe Eoeno, ero ogasanoc tetrr qlo B uer qp€&m&ao aoBoe EoFlqalrre s'rrtleSuialEHlrxresoloB Eelelror, Eoqlol8!trr r rry60rot &nnnoc8t, tr ocnqecr-Blel cl8leg Eoltrolol r U(!([epeFr(tarlgory r Eterpa.[bgory rc-lltqlgrrr, qBc!f,orogErx er! ocroBo[o.lorrtrr4rn]. B gartr IE ta-{nmesma.urns aEaJrf,s FaxofErpoBoo pacEpocspaseme x qpom-Baer Eo Bce paq1eur conpereuol xaremrrrg. Haudoabue tsuene-nrn cef,qac rl)of,lolFr g grofi cangx B gerlalsori agairrge, B reo-prr Eepontrocret r teoBxr reBE, B ralrecrseurof, reoptf, lpl{&e-petqrsFErr ypaDEgnrfi r B raterarI|lecrofi EtrogflEtre.

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congsot so$epen{r ro reoterprr E nqalrf,BJr, EpryI}olego$ n60-aerm D.r.Pegetgtra, ert reEro ltlrxlerctloBa.rr anaroxrtu4..[,.aaeroaq&pg, f.t.naBpeg?beg r .qurlue ralem?f,ru ug IEaErrlpemoe)s clpaEt. 16 aoadpa 1989 r. $pffi rpnopreDfEa cen[elrEotrog4laBrrr qrerr llpaa.reur CI0, noreaanue ery lo6pono slopo-BfE X EOTHX TEOBqoCEI yOIeIOB.

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IIKONH, KOHffiPEIIUil}T, CETIHAPH

BCECoIBHA.E T0HOEPEHTI{fi vCJI0BIn-K0PPEKTIIHE 3A[,AqtlHATEnTmmIt0fi A[{3IilC{ .A.ne-Ara, 24 orra6lrn Ig89 r.

Opransaropr ro$epenry - Hncrnyr rarerarru C0 AIICCCP' SI C0 AH CCCP (r, Klncuorgen), llxcrrryr arexarnts E ue-ranrrf, III Kag.CCt. Coqpe,[ce.ugrear oprrotrEtera - anarem f.ll..[aapextreB, araleurn Afl Kas,CCP y.H"Cy.[raxragml sail.qpe.qce.[aFTe&s - r.(p,-H.8. B.fl.Apcegun, {JI.-ft. A}I CCCP B.l.PotaEoB,tr.S.-H.8. A,bt.(Sorotron; WBHHe gexpetaBr - B.Q.-{.u. H.lll.Hpre-rXrnoB, R.([,{. I. C.H.Kg6amxfr.

Fadoram 5 cen@; odna.a teopxg Eesoppexrrnx gatrav; odpa-rnse sa.qaqf, &fifi ypaBserilrfi mseuarugecrofi (pusffir; qpanue s o6-pamue satraqr feopur trepenoca f,sJryqerns; ilareuarf,lecxEe rpod-Ieuu reo{uswi,g&fiepeiryarlbgue JpaaseEra rateuar5rlecrofi [r-

:fKE.

Eg.m sacryEgmt Sa [Jreuapg$x ,{oem1a:I.il.Cyataxraam dMetoIH trecaeAoBagnfl r llf,cneggoro pene-

gnt! ypaBrours Eorbryana".!t. M. JlaupegrbeB "Ba,qaw rlgr erpanbnot reoxerlm BonbT eppo-

BcBoro tuEan,Bmagm yqacrnmog E rocrefi ronlepeFqrp 6urc upeloran)Ie-

uo I34 aesuEogHux roemra. Telatruta AoK[anpB otrEargna Bce ilaE-6o.ree BafiffHe HaIIIlaB,Iegxfl IIftBBtrTss Heltoppeetmrx tr o6parmrx sa-g&s ts do.aouoe lincno cuen{Hx e suw tpod,rem. 3a 3 rom, gpoues-

ma co BpessEE qpelH'l$rqe$ no$epeuro, troJryqesg cJrqecrBeEIIBepesyebTaTs B ucceegoBal{|nr BoqpocoB lloccl]oeFEfi peryrqplqrlnrrxq orrsrf,aarxnx alropx!ffon; quc.ltesuxJr uofogoB penegf,fi o6lnrurxBanaqi salaq Exlerpatlbgofi res[erpxs, Teopffi llepegoca; Ior€lga-trlr EoBHe B{ugue reopeuu o pagpeglmocrn l}fig& o6lnrmrx saAaq I,rfl

@Sepemga"arxx.x yrlnaxeulf, .0rogo rpefn IoE[anoB 6x.no uocarqeno peI[eErD qpru.[a.u$rx

Ba,uBq, Bognuaarylx s re@gf,xe r gotrcBe llofiegunx xcnosaexgx'roxorp$m f, suenrpocsotttrx, tetrEouaccotrepenocer alemlrcnnofiolruae, ff[epnofr 0uslre u sa lu]ymx EaqpaaregtrEx. B doauumct-Bg Aor.lnjqpB ocuoBgoe Bsnlalfle 6sno ylenetto qpamutlecaCIry trpu-

34

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leEeuD IpoBe.ueEl[u trCCTeIOBaEX[.Itoufieperrre orqpaauJra qprBercrBennre reJerpatm ocgoBo-

lloroeusax Seopm yc.[oDBo-roppearEHx ga.[aq ararerEry A,H.T[-xogogy f, !IJr.-r. AII CCCP B.K.llBatroBy.

Peuexo a 1990 D, trB.qatr cdopm rs6pamtrx .Eoxua.uoB Bor$([epemt*.

IIIKOff , IOHOEPEIIqI{I{, CE'I{I{AFHIIIKOIIH, KOHONPEHIryM, CEM}I}IAPH

Jt)

BCECOreHAfl ITOHOEPEHIII'I IIO IEOMHf?HN I4 AHADTry

Bcecongnan rcu{epenq5s tro roouerpu f, aBaJIf,By, opralmso-BatrHaE l,lucrnryrox mareuartrKf, C0 AII CCCP, qpoxolEra n Hosocndrp-cror{ Anageu.opo$e c 14 so 16 rordpr 1989 r. Kosfepengs dtuatrprypoqena E ndu.ren araleuf,tra S.I.Pene[Eflaa (26 cesrsdpn OpunIluropreguqy Eclronnrurocr 60 .uel) u na uefi odcyr[a.mcb cogpeuen-uue uaq1n&resnfi reo[.erprr E Teoprf, fyltrsuil, trpxxuxarye rrpodneuarme, paapadarugaexofi D.I.PeuefIrsEoM, ero yqeun€rd[ trcorpy${uxaxtr. 0co6oe Bsnrantre yIeJIaJIocb cuerrlbltr Botrpocax aua-rsga E reo[rerprtr, Ir[8Jro qpelcTaBleEHull Ba coDEHux tarexaltrqec-agx coBe@Hu8x.

B padore rou{epenuu trptrHfiJrtr yqarue oroJ[o I50 qeroaex, BTon llucne 88 ugonopolrux. Salrso$ Ba yqacrue du.ro tto,[ano EotITf,B.qDoe dqmme (orono I70) u oprrcouf,Ter, BoarJraBJrserurfi axa.uetm-rou A..l[.A.reKcaIr{poBHM, 6trr sHEya[eH uHorBM uareMarrr€lu ltocu-Jlars Bex.rluBge orxagu. Ilpuvuua rpa.@$ogsa.fl - HexBarxa Mecr BrOCTtrfltrITE.

14 non6p.fi, sa oriq)Hrutr ttou$epemum, ICErs flnopreBuqa ren-no qpxBercrnogaJrn axaAeutrKtr A,.ll.A.retccall4)oB, M.M.JIaapaHTbeB f,

$)yrf,e MaTeMatalg x3 IlaSEux pemonoB crIxlHH.Haywmn lrporpamla nonQeperrqm Bn.lmqa^fia 8 nrexapmrx reru[d

(.renropu: atr. 0.I.PelrerIIffK, aK. A.,[.Are&caHIFoB, .q,Q.{.8.Jl"A.Afigendepr, .q.([.d[.H. M.3.Co.[oMffB, A.O.{.H. B.A.3opf,!I,

r.O,-lt. H. B.ll.KygbD[f,BoB, r.(F.{t. g. J[.B.Ca6xEmr r.(p.-tr.H.B,ll.Fypeuros) u 95 .qor,[q[oB Ea c.leNrnnEx ceKrEEx:I. Ieouerpf,s .trEc{persnx r1rym rpeodpasoBaffi. Krasmou@1xue

otodpareEsa r cf,ef,Hge Boqpocu. (pyttosoFmeJfib - .q,.0.-{.8.C.Jl.Kpyruna,.ul).

2. Oy:uugoxaJ.bsue rl)ocrpanctBa f, cHeaHHe Boqpocg. (Pyrosogte.frb

,[.S.-fl.B, B.]l.F;penro f, ,q.([,{.H. B,M.foJ6IBref,n).3. IlF6epegrtraJrbxaa reouetpxll B ge.Eort. (Pyrogogre.D .[.(p.-M.H.

B.A.Totrogoroa),

4. Ieorerprn trorplrlomn'r Mnoroodpaaut. Teopun BtqrrJfx 8e.[.

37

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IIIKOJIH, I(oEONPEMIM, CEIIIHAPH

Ilonepnocrx B Eo t.mrn'x npocr?arcrra)r. (pyroro;ryr,rurrA.t[.{.a. A.A.5optrcemo) .

5. reqerprr EceBlolluagoDux qpoorllancra. xlnnoreoxerpns, (pr-BoBoStetD I.([.-r. E. l.B.Iesfqelj].

K gaqary pa6org rosepeng rsxer{ resncr uerrerpE [r] ,E BOfOIrre BrrnqeEB re8reE coo6qed tex, r3!o Ee cuor trBEErrEyqacrre a pa6ore ro$rpenp. Hega.{o,rno .qo BatIEJa pa6ots nopQepeng (e orrn6pe 1989 r. ) rs leEa?r Brrer I4-t ?ou rlrJrtropItxcruryra rareratrrr C0 AII CCCP LZl , B sorolpf, cotrepraroc od-Sopgre ctatDf tro tentf,ne ro{epemqm. 9rru ee rlnd.reuau Eocan-qcl I 5 Cr6rpcroro rypuara f3] .

Ko$epeqr{ra nlraBa.[a 6oasnot EE epec coBorcrqx mtgnrxeos,BrEof,e e6 peror6rwnrTrfi colelt3tref, troIsIaEIe q16so.In*[E coBeq'-ErE [o orelsry Botrpocar aH8.[f,84 r leorer]Er ne IFIO' qer pag B.qDa-tll[ DOIa.

.[rreBarypaI. BceooDgnaa ro{epernpr 11o reoxetpga x agarf,By: Tegucu

IouaIoD. Itronocr6rpen, noadpr I98g r.- Honoer6rpcr, Iggg,-I(X) c.

2. co4lerergf,s EBodreu Feorerllg r axaJrxaa.- Honoor6rpcrrHrgrra. Cr6. oll-se, I$9.- 2& c.

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HE coeTonxeeb z?-3OEEff Ig89 x$na. Opramearopalf, uEoJlH OIL'm

}faetuqry la3esafxm C0 Ali CCCP n Sosocudrpcxd rccyrxBelntter.

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mB.So$epranqrn tFogog.Eaob B ayEEropltx Hoaocr6rlreroso Doc-

y653epof,Eera. "[,us frecrf,fi a no@pexlru ro peseltrD Oprumre-

ra ouJro roqrqego 1I3 noxxagoB, so Ffi{f lrprrun (doress' oacyl-

crgfg anuadnnaton s *.9) duao cleraro 97 goxaagoB. Il8 qxcra

EI,sHsEsx 0grmoulretox tron[g3on ss Homcrdqrcxa 6s.tro 25 .[Ortla-

.uon, Es Kyf;6rmena - I5, us Tanxsma - I0, ns Asadqxa - ?, ug

Bolnrera - ?, ug Jlempala - 7, ,g.|;m-Aru - 5, ls Yaas-yls- 4, ns Mocxau, Klncxoqlcra, &lgasde, fiqytcra, I(aaam - tro 3rgs ltuega, Kyaada, Eyranu, Ila.nrwa, Bnasgocto3a - 11o 2 , agy{H, Xadal}oEora Toasffllr, llarqrgua, ,[ouesa, Keneposo, oua,

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re$aTunot saJBEeEHntx gosra,qoB 6nu pagleeegn sa tpn cexrE:

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f 3 - *Hetraccngeolge ypaBHeEEf, xaleuargqecrofi gSglu r nt'

trpr.,[grsEnfl" {IryxosogfteJlb trnen-xoBpecsogqesr AII CCCP D.[l.ll$

Km) .Boe gon"ua$ trpoeJE Ha BITOOEOU Eryqgofi JrpOBBe. B lnaylsr+

re o6eyqgeguf, BE tcurmAob ueodxolproctD Isnbreluet Boop@Istl

tregref,bgog5u pagXttstlx Eryqtrx Uertpor (HOaOer6rpc8,, Tamem,

neror'lru T T"A,) - t,e. neO6xOIproCTE qpoBe.lelx.E trolo6mtx

IEO[, rcn$epernd, !3lgstrg Co316aCtEg c{OpnnoB' rcHorX]a4tnl'

odrega ra88opauf,.ao

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UIKOJIH, TOHOEPEIiUH}I, CEMHHAPH

0 pa6ore UI Cn6rpcrofi uro.u "A.me6pa r Asarus| Hprryrcr,30 anrycra - 4 ceura6pn 1989 r. (osepo Eafira"r, dyxra IJecsanar)

Ha 6ase llprcyrcroro rocylgpcrBeguoro yr{f,BepcErera c 30aBrycra no 4 ceurfi6pa c,r. rponna lll crdupcKa.E rrrKoJr€l "A.xre6pau Axa.Era". Ilprrat,[are.[eu Oprnomrrera ru(onu 6ua axagem( H.r.Peuerssr. B pa6ore lllno.nr qpugfiJro yqacrf,e r30 seltosen ( r0 nsllpxyrcra, ocraJrbnge - Euoroporuue). BH.m qpercrag[erur llosocn-dupcrc (crnne 30 senoaer), MocKBa (I5), Iesrurrpa,q (I0), 0ilcn,EapHayl, Keuep,oao, Toxcn, Kpacuorpcr, Mnuctr, T6r.mcu, Tapry,flpoc.uaanr, CgeBl.trogctr, lltrra, Xa6aponcr, Tamext, A"mla-Ara E4>. Kpoue roro, 6um 8 ruocrparulea xs tmcra yqacrnmoa Meq6r-Eallogcof, xor$epeqn ro amedpe traufirf, A.H.Ma"tbrIeBa, FoseeI00 yvacrxf,roB uroJrH - IoBTopa f, EaHJEIBtu HaJrK.

Padora lllronr 6ura opralrnsoBalra anre.uy@t o61nsor. ,l[o ods-Ia qxr€urf,cs rpx 60-unryruue .Eertg, trocre o6eIa - g-4 4b-lu-qytnux ,[on[aIa, Bevepaur npoxo$Jn xe$opaarrsnre odcyqnegrr Ha.cyxuux npodrteu rarenartrsecnot tgsFro EsJs cocraBJrsga [ tlpng I-ra Jleruapar$s o uareuaruqecrtofi aceowar$f, Cosercxoro Consa(aapranr [Iefi Bceconasoro Marexarrsecxoro odqecrga).

IUrota rpa.ulryolrgo rueer Ire ocxongue Ba,qarm. ilepaan *ograxoxf,tl ylracrllxlton [rgo.rrH c xonefuu gocrrte1lrgffi uSTeMST&-secrofi Eayrq. .Mg eroro B EaqecrBe fierTopoB trpurJ[afilarTcfl Be-Sr@e xareuarrru }locruH, Jlempala x gl. Bropax - Iarb EoB-uotcocrb rronol]or xaHgIa?alr, B oeodemocrr, er6rpcrw, coo6-xFlE o cBoxx Be3yrDtarax' tro4fqeflBlrx trocJle saWrH raq[.,qEccelFTarryd, r r8rcf,x o6pasox tro[oqr xx la"llluefineqy Eayqsoqf pocry.CvrtaeurtlTo gnrrtaqr l[sona Butro.,lufler.

IlPorpaua asrtFfi :A.H.Iproroa (Orcr). doly.maaa a.me61n .[r.A.H.Bapvexno (toonsa), .[nnorapusru Aonoro r a.me6lnrrec-

xa.E K -Teopf,fi.

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IIIKOJIH, ITOHOEPF;HI.UilU, CEMI{HAPH

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u JmeBHx cyuepa.nredp.A.A,Kupu.rnos (MocKBa)

" Bse,ueuue B qporyamry Hepetruta.S.E.Bmdepr (Mocxra), 0 BeKoTopEx somryTarrBuux trorall-

redpax yumepca.tlruofi odepruBaf,qefi amedpx.A.I.XogaHcxId (Mocnsa). PaBSocSs ntsqyxJlrx Hgororpauuf,Iton

E :ilxTerpaJl tro afi.re1naofi .xapaxTepncrnte.A.H.llapwn (Mocnna), Ieouerpun apnsretuqecxax noBepxlloc*

fefi.B.A.Hepernr (MocKsa), Itraccusuxantrs trpeActasreld xare-

ropfif i A, B . C,'f) .P.H.lprropqyt( (Mocxsa). 0 c?etrenax pocta rpytrtr x qpuo-

ffegs.flx E aga$3y.B.Ji.llofion (Moctcsa] " ArrornopQunol IcoJraIIa ffioroqJlenoB.M . 3.Katrosus ( Xadapoacr) , YunSopmussffi Tpe.ruepgtrx rnrorood-

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B. Kayr (Tn6sures) " Or,paxusenHxe cshslerpf,qecr(f,e o6.nacru

u f;opganonu a.rre61x.l.H*0$ilraucrufi (Mocrsa). .[,.Boftcrneg]iocrb Epayspa - Befi.rx

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BarFrI na 3BM"Fu.rrn, gacrymaHE taEJte ,qoK.EA.{H :M,Xasecu:a(e.m (furcreplaxi . lteaf,tosue rpyrillu.

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Jrocrx f, qpl.noteEtrfl.A,II.haxOs (Kpacsofipslc). Mxorouepgue Bsilerx tr trpf,Jlotertrfi.

40

--.

4I

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IIrK0.[H, K0HoEPEHIUU, CIUt{HAPht

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B cagsr c atrf duzo dr qereooodBaano trpsrarb errur molauoraryo MeffifHapo[nnx.

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