AKA,1lEMIDIHAYK cccp. HAYK rpccp. A.KA.JIEIDm. IIH'l'ffii ME1lOIYHAPO.llElill C 1MII03J1YM. mfrofmamm .I{ORJIA,I(OB

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Transcription:

AKA,1lEMIDIHAYK cccp A.KA.JIEIDm HAYK rpccp IIH'l'ffii ME1lOIYHAPO.llElill C 1MII03J1YM ITO TEOPmi mfrofmamm TIDMCU.I{ORJIA,I(OB THE FIFTH INTERNATIONAL SYWiPOSIUM ON :l~ormation THEORY ABSTRACTS OlP' PAPERS K-JI MOCKBA - TBHJmCH 1979

PE1llET~ATI:lE CHCTEW C llokaibhimi SAllPFrill A.Jl~ToolI (COCP) YOToAlllBOOTH~~ BBO~HTCftI IOOXe~eTCS KOHWHrypa~. nohstbe Ha qe~ BepoSTHOCTHOI cxehbbx pemetkax. d Ka~as TOllKa a -lispuoa qexollhcxi')hhoi pello!u Z npilhlliaot COOTOSHBg IS HenyoToro KOHO'lH01'OIIHoaeCTBa ~o 01.tBH8.KOBOl'O1.tIDiBcex!OlfSK. nojiylfae!roh npootpaho!rbox = Xa d KOIl\PJlrypaqJ11 Ha BcsA pellietke. Ka~OJl!r01fKe VE Z 000ge!C!l'- Bye! C1.tJlr pe.otkh sa BeK!Op \I B l~qhpobahbhi C1.tJRr '-V npoctpahc!:ea X nycn S8Jt8.H HenycToA KOHO'fwl Ha60p {C~,..., em} codcf BOHHUXqIJrlH~pHlIeCKIX no~hoaectb)( HaSOBell sanpetalli Bee TpaHCIDiTIlIUiOZeC!B C{,, em,a IIHoaee!BO J!COX sanpe!01 H8.S0Ball ahcall6xeli [ zd IdTaK, S8JtaHa OROTelia ([, )() HaSOBOIIKOHtHrypaqJ1ll cornacobahhol, eojrl OHa nphh8jtxeahtboell sanpetall. nyo!il M - OOllOKynHOCT:r.llepOHTHOOTHHX&lep H8. X llu Ka~Ol'O qlom C E[D ; f] onpe~eull no;ltmhoaeotbome c M Mepa ju BXO;zl;H!B ME., eou ;zl;mibclikoi'oh8.typajiihoro k )I BCBKHX k pasjrl1jhhx sanpe!ob Ai.', A j( BWnOJ!BjJe!CJiCJl&- ;zl;yjlil\eo: J[xs JIJ:l6oit KOH~Hl'ypaqm14 X II!O'lK. V 060SHalJIUI lfepes Nv ex) oollokynhoci':r. KOH(PRl'ypaqml, OTJrlqallll\HXCs O!l' X as!coo- HOlfHOIiYHO~eOTlle TOlfe., BKXIlqall~ell V HSSOllell OOl'naOOBaHnyIl ROH(pHl'ypaqHll X YOTOitORllol, eou 11-2 112 165

eim SUP fid Nv (x)) = D E-O )lie ME VEZd Ses no!epa OO~HOC!H MOZEO C~HTaTD. qto ahvamond ~ nopo~eb aaoopom {C1} COCTOH~HM HS O~Horo MHozeCTBa. PesYnDTaTli: I. B Ka~oi o~homephoi CHCTeMa He oo~ee o~oi YOTO~VHBOi KOB~HrypaqwH. TOqHee. cor~cosahhah KOH~lrypaqHH B O~HOMepHOa CHOTeMe YOToiqHBa, ec~h I TOnDKO ec~h OHa - e~hhctbehhah cor~ COBaHHaH KOHWHrypaqHHB ato! CHCTeMe. ITOCKOnDKy ~erko ykasatd anrophtm, no~hootdm onhclibammhi cor~cobahhlie ROHWHrypa~HH BO Boex O~HOMepHliX clotemax. TO I YCToiqUBlie KOHWHrypaqHH B O~HOMep HliX CHCTe.llaxnO~HOCTDD OnRlCWlaIlIrCH. 2. HanpoTHB, B Heo~HoMepHliX ohoteuax YCToiqlBlie ROH~rypa ~HH MorYT OliTD Hee~HHcTBeHlili. n~h ~m6oro ROHeqHOrO Ha60pa nepho~hqeckhx ROH~HrypaqHit B npootpahotlle X sa Heo~HouepHoi pemetke OTpOHTOH OHCTeMa ([, X ),B KOTOpOit Boe KOHWHrypaqHH IS ~ahho 1'0 aaoopa H IX TpaHC~Tli,YCTOiqHBli, a Bce npoqhe ROHWHrypa~RlH HeCOrJIaCOllaHli. norasahli HeRoToplie ~OCTaTOqHlie YC~OBHH YCTOittJHBOCTH. BBe ~em ooossaqehhh. HyEslie, qtooli IX cwopuy~pobatd' ITYCTD HMeeT OR d -liepaah CHCTelle (. X) H 1l HeA ROH<PHrypa~HH ':J MHOzeCTBO Vc Zd HaSOBeM rapahtom ~~ Y,ec~ ~~ BCRROA TOqRH V HaA~eTCH TaRoe KosetJHoe ceueictbo sanpetob {Aj,Az,... AK}C E qto {X :Xv -:t.yv ; Xv+v == Yv+v-} najfla2fl,.. nak = J2f Kpo!le Toro, norpysh!i Z d B ebk~~obo npoctpahctbo. Rd C Tell ze Haqa~OJl Koop~HHaT O. ToqKH Rd OTOZ~eOTlI~e!l 0 BeltTopa!lH. BeBTOpa e~hhqhoi ~~Hli HaSliBaellm npab~ehh1l!lh. MHOllteCTBOrOtIeR Zd, 06paSYDIIIHXorpHIlaTenDHlie CRa~pHlie npohsbe~ehhh 0 HanpaB- ~ehj!ejlw,o60shallae!l TT (w) HaSOBeJi HanpaBlleHHe W Rol'apaHTHHII,eo~ IT (w) ectd rapaht. S. IIYCTD ~aha CHCTeMa (, X) I B Hei nepho~heqcrah cor~co BaHRaH KOH~J!l'ypaIlHH!f IIycTD H!leeTCH TaROK Ha60p HanpaB~eHHit 166

a) CYlIleCTBYIOT TaIU!e nojioxhtenase Po, A,..., Pn, 'lito Po Wo -+ p~w~ -1- -I- Pn Wn =0 6) 1T (Wo) ntt(wk) OT r ~O n ect!> rapahi' jtmry npm llohlwli k Tor~a Y YCTO~lIHBa. 4. ECnM B ~BYMepHo~ CHCTeue NHoaeCTBO KorapaHTHHX HanpaB JleHHH,VIII nepllo~hellckotl COrJIaCOBaHHO~,l{Qs:lJlHrypa~HHy c:o~epo EHT ~yry, COCTaB~lOlIlyIO 60Jlee nojlobhhs OHPYEHOCTH, TO HOHWHrypa UHH Y YCToUlIHBa. OlleBH~HO, uehhoctb YTBepE~eHHH 06 YCTOHlIHBOCTH ROH~HrypaUHU 06YCJIOBJleHa 6oraTcTBoN MHoseCTB t1c TIoaTOYY CTpoHTca nphbeps Mep J' E Me HaH60Jlee ectectbehhbj6 nph.lieps OTHOCHTOfi R TOBy cnyq8.il, Ror~a CHCT6.l1a OmWbl.l:laeT wyhri.1hohhpobahhe (d -1) - ileps:ol O~HOpO~HO~ ceth HOHellHSX abtomatob B ~HCRpeTHOM BpeileHH, r~e RaZ~H abtonat BSlIHCJlHeT CBoe COCTOflHHe B RaE~a»OileHT Bpe.ll6HH RaR ~YHRUHIO OT COCTOflHHH coce~eu B ero ROHellHO! ORpeCTHOCTH B HeCROnDRO npe~~yiilhx NOMeHTDB BpeNeHH H nph atoy cnyllaiho omh6ae~ Cil C BepOilTHOCT!>1l e,nphlien Bce OlliH6I<HH6aaBilOHYS ~Pyr OT ~PY'" ra. KOH~HrypanHfl - ato peanmaanhfl pa60ts Boex abtoyatob sa Bce BpeYfl OT - 00 ~O +oo OHa COrJIaOOBaHa, ecnm He npoilaollijlohh O~HOH OlliH6RH. OHa YOTotlllilBa, eojlh OTRJIOHeHHfl OT Hee, 06YOJlOBJIeH Rble Olliil6RaMH, HaRanJIHBalOTOH nmmi> ~O BeJlilQilHH, CTpeYilmeftcfl R Hy- JIllBNeOTe 0 K OOlltalleHlm, B jrphnehehhh R abtomatmu, CHOTe NaN HamH OCHOBHbJe peayntatbj 3 H '4 npabpamaiotoh B ~lltehabect- Hble peayjli>tats pa60t [r] H [2]. Ho 0YlIleoTBYJlT H 601lee CJlOll:- H51e rrpl1uepbj liep JU E Me, ~~ ROTOpsx HamH peayjibi'ats flbjieidtcilhobwnh. YTBepllt~eHHe I OqeBH~HO H rrphbe~eho ~1lH HCHOCTM. Yi'Bep~eHHe 2 ~ORaabJBaeTCH HaBeCTHblN ROHTYPHblY lieto~oil ITaJepJIea B ero OTaH ~aptho~ Wopue. YTBepll:~eHHH 3 H 4 ~ORaaSBaJlTCH ~OBOJlI>HO rpoyoa~.ilnh BapHaHTauH storo lieto~at noxollthnh Ha Te, lito ony6jlhrobaas B [I, 2]

I. A.I~!o Harpyao.aue liaol'ollephhe CHCTellY abtolla~ob. np06j:ellll nepe.llau IHtQP.IaltJII, 10, a, 70-79, 1974 2.A~J.T801l. 1o~oIqHBHe II nphi'lil'oallll!he Tpae~oplilH 11 IIHOl'OKO~ JJOBeJl!JIHX Cllc~eJI8X. C60PllllK "MHoroKollnoHeH~HHe cxy.aitiise cllo~elllltl, 288-308. "HaYKa; II., 1978.