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Meoa pacea oax acpoe peyopo eoo PAX aaoa. o oa acpoa ao eoe oa acpo peyopa, oeceae aay cee oeaeoc ma poecca peypoa p ye epaoo apaoo pep J. B c c pace acpoex apaepo peyopa pacaaec a a aa: opeeee acpoe, oeceax aa aac ycooc aay cee oeaeoc, opeeee acpoe, oeceax aeco peypoa, oeaeoe o epaoy apaoy pep.

ep a opoo oca paee 7. Pace peyopo c o acpoe apaepo (- -peyop) oec o (ep) a. peyopo c y acpoe apaepa a epo ae paccaec pao cee oeaeoc ococ apaepo acpoe S0, S1. Ha opo ae eoxoo pa oo oy apy acpoe S0o, S1o, cooecyy aoy ae epaoo apaoo pep aeca. Pace oo pep pax poecco peypoa oaae, o eo yy -peyopa cooecye oa a po pao cee oeaeoc, pacooea ecoo paee ep (pc. 9.1, a). Tao oo ec oa 3. Pa oa a po pao cee oeaeoc cooecy pae poecc peypoa (pc. 9.1, ).

Pc. 9.1 Bop oax acpoe -peyopa:

a - pa pao cee oeaeoc; - pa epexox poecco peypoa pax acpoe peyopa B oe 1 ocycye poopoaa cocaa, peyop paoae a epa, ocoeoc oopoo ec aoa aeca oa. Boax 2 3 peyop paoae a -peyop, pe cpae x yx poecco o, o c o pe aaoo aeca peypoa epexo poecc oe ye, e oe 2. Ta a p e o po pao cee oeaeoc poopoaa cocaa opacae, opacae paoa acoa, ceoaeo, yeaec aeca oa peypoa, o c eoopoo oea (oa 2) aae yeac ea acpo epao cocae S0, oopa opeee copoc ycpae caeco o. e ee ea S0, e eeee paec caeca oa, .e. aaec aae "xoca" epexooo poecca (oa 4). B oe 5 ocycye epaa cocaa, peyop paoae a poopoa, eo ocoeoc ec ae caeco o peypoa.

Oae acpo peyopa paccac o yy J. x opa eoxoo pacca pep J cex ap acpoe peyopa o po pao cee oeaeoc. a poeypa pyoea a pae pea eepo eoe opeee ecoaxoe o 3. Paoa acoa opeeec, cxo coooe p = 1,2 0 p 0,8 , e 0 - acoa, cooecya epe po m = ma; - acoa, cooecya poopoaoy aoy pey-poa. oce oo o opya (7.18) paccac,.

poeypa pacea oax apaepo acpoe -pey-opa aaoa pacey -peyopa. B ococ apaepo S1 S2 cpoc pa aao cee oeaeoc (pc. 9.2, a). p e o po pao yeaec epeo-aa cocaa S2 acoa. Ceoaeo, e oe S2, e ee aeca oa peypoa. Bea acpo, poopoaa cocae S1, caaa yeaec, a ae yeaec, pe, e oe S2, e ee caeca oa. Becaaoe xopoo cppyec paa poecco pey-poa pax acpoe peyopo, opaex a pc. 9.2, .

Pc. 9.2 Bop oax acpoe -peyopa:

a - pao cee oeaeoc; - pa poecco peypoa pax acpoe -peyopa Oae acpo S1*, S2* opeec yco ya J, oopoy a po pao cee oeaeoc cooecye oa, pacooea a ee epe.

9.4 PAOAHATEC METO CHTEA CCTEM Paccapae eo oocc pye paoaaecx eoo, papaoax B. . Poae, ocoy oopoo aoe ceye ooe.

Bo-epx, caec, o ccea peypoa oaae eoxo aaco ycooc, ec ee oaae oeaeoc e peae e M = 1,1 1,6, .e. o pepe oaoc ec oeceee aaoo oaae oeaeoc Ma.

Bo-opx, ey ccey peypoa oo paccapa a coeopa aco p, epe oop poxo cocae apo xox oec.

B acoc o aecx coc ACP apo c pa acoa peepea pae ee, .e. aya aa xooo caa yy pye, e a xoe.

eao cceo peypoa caec ccea, oaaa aco py coca. Ayo-acoa xapaepca ao cce ooceo oyax oec paa y o ce aaoe aco o 0, a ooceo ypaeo oec oa paa 1, .e. M() = 0; My() = 1.

aaa opa oax apaepo acpoe cce aaec o, o aoe cee p AX peao cce AX eao cce. Ta a peax cceax paec eooo oc, o ooc ycoe M() = 0, o apaep acpo o pac a opao, o ccea aoee eco poaa "oace" apo. Ta a poocee oe c oaco po, o eecoopao pa ao eo, oop apapoa ayee pee acox xapaepc cce opecoc o c yeo acoo. pee peao cce eao ocyecec ye paoe p Teopa. coe oaoc oo aca e:

- ooceo oyaeo oec M(0) = 0; ; (9.6) - ooceo ypaeo oec My(0) = 1;. (9.7) pae (9.6), (9.7) cya opeee oax apaepo acpoe cce. Pace pooc ceye ope.

1 B npocmpacme napaempo acmpoe peymopa onpeeemc paua oacmu, omopo cucmea oaaem ocmamo anaco ycmouocmu.

2 B mo oacmu onpeeemc moa, yoemopa uuyy omoeu acmomx xapamepucmu peao cucme om xapamepucmu ueao.

cxou au mc acmome xapamepucmuu oema, acmocmu, anumyo-aoa.

nocmpoeu pau aaoo anaca ycmouocmu ucnoyemc ceyu noxo. a uecmo, anac ycmouocmu oem onpeemc y ucou euuau: anaco ycmouocmu no oy u anaco ycmouocmu no ae, xapamepuyuu cmene yaeu AX paoymo cucme om "onaco" mou (-1, i0). Ho oaaemc, mo cmene yaeu AX paoymo cucme om mou (-1, i0) oem m onpeeea no euue acuya anumyo-acmomo xapamepucmuu aymo cucme (c. 7.3.2).

Ta opao, peoae, o acy AX ayo cce e pea eoopo apaee aao e, coc peoa, o AX paoyo cce e axoa yp oac, opaeo payco r c epo a pacco R o aaa oopa, pacooeo a opaeo eeceo oyoc.

oce opeee oac aaoo aaca ycooc pooc opeeee o o oac, cooecye oa acpoa peyopa.

9.4.1 -peymop epeaoa y -peyopa acaec e W(s) = kp.

Ayo-aoa xapaepca paoyo cce c -peyopo:

Wp.c.(i) = kp Wo (i).

Opeeee oao acpo kp* pooc ceye ope.

Pc. 9.3 opeee ae oea epea -peyopa Cpoc AX paoyo cce p kp = 1, o cooecye W(i) = Wo(i), .e.ocpoe AX peypyeoo oea (pc. 9.3). aee, aaa oopa pooc y o yo (9.8) opaeo eeceo oyoc.

Bepaec opyoc c epo a eeceo opaeo oyoc, acaac oopeeo AX oea oo ya:

(9.9) B oce cyae pace cce aoaecoo peypoa pooc a oeceee oaae oeaeoc M = 1,62, o apapye aac ycooc o oy d = 0,38 o ae = 36o, a cee ayxa epexooo poecca oeaeo ee M.c(0) = 1: = 0,9. B cooec c opy (9.8) (9.9) pa (9.10) Haeoe aee oea epea ec oa aee.

9.4.2 Ȗpeymop epeaoa y -peyopa:

.

Ayo-aoa xapaepca paoyo cce:

Pc. 9.4 Opeeee peeoo oea epea -peyopa Pace -peyopa pooc a aa:

1 o AX peypyeoo oea cpoc AX paoyo cce kp = 1 eoopoo ae ocoo pee Tp, ea oopo paec o, yoo ocpoe xapaepc:

oce yoo cpo, oopaa a eop AX oea a yo 90 o acoo cpee yea eo y Tp pa (pc. 9.4).

2 pooc o yo opaeo eeceo oyoc epaec opyoc c epo, pacooe a o oc, acaac oopeeo ocpoeo AX Wp.c1(i). Bea oea epea kp, oeceaa aay ey acya AX ayo cce (aa oaae oeaeoc Ma opeeec o opye (9.9)), , ceoaeo, ea peeoo oea epea -peyopa, oopa ec eo oa aee, opeeec a. (9.11) Ec, o ; (9.12) 9.4.3 Ȗpeymop epeaoa y -peyopa:

Ayo-aoa xapaepca paoyo cce:

.

Pace -peyopa pooc ceye ope:

1 Cpoc ceeco AX paoyo cce p kp = 1 eoopx pax aex pee opoa Tl (l = 1, 2, 3,...), paex pooo, o c o pe yoca ocpoe:

Pc. 9.5 opeee oeo epea -peyopa pax Tl opeee pa oac ycooc -peyopa epoaao epaec AX oea W(i), oopy ocaoo e peeax III apaa oeco ococ W (pc. 9.5).

Ha o xapaepce pac o A1, A2, A3,... c acoa 1, 2, 3,..., oope coec c aao oopa opea OA1, OA2, OA3,.... opea oax A1, A2, A3,... occaaac epeyp. aee opeec ooe oe Bj AX paoyo cce. C o e a occaoex epeypax oaac OAj ope AjBj, opeeee, a Aj B =. Coe o Bj c peee opoa Tl j Tl j ao po, oya AX paoyo cce. Aao opao cpoc AX paoyo cce pyx ae Tl.

2 pooumc uu no yo eecmeo ompuameo noyocu u cmpomc opyocmu c empo a mo ocu, acauec AX paoymo cucme paux Tul u mo npo. aoo aeu Tul onpeeemc npeeoe aeue ouuema nepeau ecu M = 1,62, o = 38, kpl =.

a r l 3 B nococmu napaempo acmpoe kp Tu cmpoumc paua oacmu, omopo acuy AX aymo cucme omocumeo ynpaeo oecmu e npeaem aao euu. C mo e ucnoymc noyee ae kpl, Tul (puc.

9.6).

Pc. 9.6 Opeeee oao acpo -peyopa Oa acpoa peyopa cooecye oa, oopo ooee ye acao, a a eo e oec ycoe (9.7). Tao oo ec oa aca acaeo pae oac oycoo aaca ycooc, poeeo epe aao oopa. eceo, a pya pa, xoa aaa oopa c o ooee, oopoe opeee yoo oe, e ye poxo epe oac oycoo aaca ycooc, ooy oy oy ey ooe ao ccee eooo e yee ee ycooc e eoxoo e.

9.5 TPEHPOBOHE AAH 1 Bae ao poepoa ocpypoa cce ec ce, oa eoxoo opee aopecy yoay cpyypy. Ec cpyypa eca, o ce coc opeee apaepo acpoe peyopo. Bce eo pacea ocex opaec a oe, o pyoee poce, o pee.

Haoee pacpocpae c eo eayxax oea, eo PAX paoaaec eo.

A Be aaec ce yoao cpyyp B ae eo pacea apaepo acpoe peyopo oocc o eoa C a aaec ce, aac pacee apaepo acpoe peyopo 2 O ox eoo pacea apaepo acpoe peyopo ec eo PAX, ocoa a aaoe pep Haca. Pace pacaaec a a aa:

opeeee acpoe, oeceax aa aac ycooc, opeeee acpoe, oeceax aeco peypoa.

A ae apaep acpoe peyopo aac oa coaco eoy PAX B a oaaee oeaec aeco peypoa eoe PAX C a pac oae acpo eoe PAX peyopo c y acpoe apaepa 3 Bop o eoo pacea oax acpoe peyopa ec paoaaec eo, ocoa a cooa AX peypyeoo oea.

A a oaaee oeaec aac ycooc paoaaeco eoe B a paoaaeco eoe oeaec aeco peypoa C a opee oae acpo -peyopa 9.6 TECT 1 Bop aopeco cpyyp cce aoaecoo peypoa aaec ope A yoax eeo x xapaepc.

B Cpyyp cce aoaecoo peypoa.

C apaepo acpoe ox peyopo.

2 Bop oax acpoe peyopo eoo eayxax oea ooc A To eoa.

B Cya eoa.

C pe eoa.

3 p ope oax acpoe -peyopa paoa acoa opeeec a A p = 0,8 .

B p = .

C p = 1,2 , e acoa, cooecya poopoaoy aoy peypoa.

4 Toa, cooecya oa acpoa -peyopa, pacooea a po aao cee oeaeoc ococ apaepo acpo peyopa S2 S1:

A Cea o acya.

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