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peoea aopo oa eoa peax ap coco ceye: oppyec epee (eop c ooea i, i=1,2,,n) epee y eo ypo y eo ypo epapx yoao oe, pax oece ocee ee pep.

aaa cepo coco opeee peyao, aocx ay (poee 5) ee aij- o oaae, oaa ooceoe aee n y oepa i e oepa j ( = 1).

aij i=ee ij- o oea aeca y i oce e j, 0 ij 1, cae oeo peoeyec cooa peey ay aecex oeo (c. ay 18 [77],poee 5). oe ocaooc opaaox ee aeceoo oe cex y a pep (ooo, ceye oa ac o eoopx opaaox ee) aopo oc ooe ee - oea , 0 1. cae oeo peoeyec cooa ay aecex oeo (c. ay 18).

peoea oa eoa peax ap ooe oy acoc, xapaepyy a y pep ocee ee ceye e:

n i = ij, (3.2.1) a j ij j = e - oea ocaooc ce cy y oce ee pep;

n -cya oaaee, oaaa ooceoe aee yaij j =j oce ee pep;

ij - oea aeca y i oce e j;

- oea ooceo aoc ee eo ypo ocej oe e pep.

peea acoc ae oopaee oeca y pep a oeco eo ee.

man 3. Ha ao ae pooc eapa epecee opaee, oeo, coee, peayx pe pepe y. Opaaoe e epapxec yopoac pypyc a o o ocoa. yaoo pecae epapxecoo epe opaaox ee ae coy cpyype cxe.

Cee cooec opaaox ee y pep c o pe aoee oo x peaa ccepaoo paoe ycaaaec o peoeo aopo oa eoa peax ap: oppyec epee (eopa c ooea i, i=1, 2n) epee opaaox ee pep. aaa cepo coco opeee aa opaaox ee oee y pep (ooo, ceye ac o eoopx opaaox ee). Peya oo cceoa pecac ae (c. ay 19, poee 5).

oe ocaooc opaaox ee aeceoo oe cex y a pep (ooo, ceye oa ac o eoopx opaaox ee) aopo oc ooe ee - oea , 0 1. cae oeo peoeyec cooa ay aecex oeo (c. ay 18).

ee aij- o oaae, oaa ooce a con eoo ea oepa i oee y j ( = 1).

aij i=ee ij- o oea aeca pao coeoo ea i oe y j, 0 ij 1. cae oeo ij peoeyec cooa ay aecex oeo (c. ay 18).

peoea oa eoa peax ap ooe oy acoc, xapaepyy a opaaox ee oee y pep ceye e:

n i = ij, (3.2.2) a j ij j=e - oea ocaooc opaaox ee aeceoo oe cex y pep;

n - cya oaaee, oaaa ooce a aij j=opaaox ee oee y pep;

ij - oea aeca pao opaaooo ea i oe y j;

- oea aa y ocee ee pep.

j man 4. Ha o ae opeeec oea cooec opaaoo cpyyp cpae pep. oo aopo peaaec ocyecee ao cepa eopa :

n C =, (3.2.3) i i =e i oea aa opaaox ee oee y pep.

oye aecex oeo peaaec cooae peeo a aecex oeo (c. ay 18).

Papaoaa ccepaoo paoe oa paeapa opaaoa cpyypa ypae cpoe pepe a oeea o peoeo aopo eoe oe cooec opaaoo cpyyp cpae pep. oe o po ceyee:

- oa cpae pep poyoo- poa cpae;

- e eo ypo:

a) oppoa cpae oeayp poy;

) peee ox exoo pooca poy, ee e xapaepc opaec a o e e aye cceoa;

) eee accopea poy;

- y pep:

a) pooco pao o ycy poy;

) ape;

) caee;

) papaoa ox exoo;

) aa acooo ooe pep;

- opaaoe e, peaee pee peex ee:

a) oae yac;

) ooe pooceo- exec oe;

) oe aepao-execoo cae;

) yxaep.

Pace pooc c oo epox a Excel (c. ay 20, poee 5). oye peya C = 0,648875, o cooecye o ae aecex xapaepc oaae xopoa.

peee papaoao aopo eo oe opaaoo cpyyp pep ooe oy oe a ceye opoc:

1. B ao epe cyecya opaaoa cpyypa cooecye (cococye eae) peaa cpae;

2. Ha ae ypo a ae e opaaoo cpyype oo ooeo peee opeeex aa y poecce peaa cpae;

3. ae ee eoxoo poec opaaoo cpyype pep p ee ee cpae.

Ho opaaoy cpyypy oea e oo c o pe cooec cpae, ee coepeco paaec ae pooeoc aece pya paoo cce ypae, oeo oe opaaxc a oex peyaax eeoc pep [4]. Aopo peaac oxo ocpoe cepe oecoo pep aeca opaaoo cpyyp ypae [52].

o acoeo pee e papaoao eoo y oaaee oex peyao (oea yca, p, peaeoc ..) o apaepo cce ypae. ooy oea paoaoc cpyyp cce ypae ocyecec o ee "apxeyp" apaepa (co ypoe epapx, aao pyooca), o o apaa a eo coepae (o apaoo a co paoo).

oe apaepo opaaoo cpyyp a oee peya pooca eoxoo ycaoee x oeco c epe ccey poeyox oaaee apa.

oea o xapaepe oec ex x apaepo opaaoo cpyyp a eoc pooca oe poepea cacec. Oao paec pyo coppoa oopo acc ax o oo pep. ooy oee paoa ec ocpoee oecoo pep aeca opaaoo cpyyp c oceye ee oeo cep ye, a ocoe eco oe oeco oe [50, 58].

pep aeca opaaoo cpyyp oe oece coocaoc ee apao o py pooooo apaex oaaee eoc. Toa ccea paceo opaaoo cpyyp pep oe ocoaa a ceyx eex yx:

- oo peex apa a ypaee p aax opaex o pecypca cce ypae;

- aca ypaeecoo oeaa cce ypae a oooc pee cox epe e aa;

- oeceee coao popeccoc cpyyp - ee eopaoc peocae paoa opaa oooc peaa coeo opecoo oeaa.

peocaec eecoopa a epo ypoe eaa oecoo pep aeca opaaoo cpyyp peycope ceye oe ee eoc:

- oooc (apa eopeee eye);

- ypaeec oea (ayo-execa popeccoc);

- coaa popeccoc.

aee aoe apaee opaeec a e pooooo opepoae py oaaee. B cooece co cpyypo oecoo pep aeca opaaoo cpyyp yopoac pae opee oaae (c. pc.41, poee 5). Ha ceo e o a aopo [12, 58] aoee oo pecae oaae apa a coae oeceee yopoa cce ypae. Haeee papaoa ae oaae coao popeccoc, a eoc a opao opa, copoc p pee x oaoc.

ocpoee eocpecex ocex oeo x oaaee ooo ocpeco aoe ax o ecyx opaaox cpyypax.

Moe eoxox oaaee o coe ppoe e oac opaa, apep, yceoc aeoc ypaeecoo oeaa, pye e e cooca py c pyo, apep, copoc p pee yace pyxc ypae [8].

ooy cep oaaee oec pep peaaec cooae poeyp eeoo oecoo oa [38], ae ceye a:

1. oooa a oe oaaee eo ypo. B aece a oo cooa cpeeopacee ae oaaee o peoy ecoaxoe p.

2. oppoae aecex a oe oaaee aoo ypo. aa oeo opex oaaee aeca opaaoo cpyyp poeyox yaopo oe a ceye paa: "ooe- xopoee- yoeopeoe- eyoeopeoe".

Myaop o apepoa oaae, ee a ae oaaee oee oo ypo. ocpoee yaopa eoxoo pee poe cep ooo oeca oaaee o ecoo. Cyecye a a yaopo: cyee, oope acpaac opeoo pep, caape, coye paape cep oaaee.

3. opaa oca aeca oaaee eo ypo c oo cecx epeex. ocpoe y paeoc peac cep [37]. ceca epeea xapaepyec aopo apaepo, T, X, G, M, e - aeoae ceco epeeo; T oeco ee ae (ep-oeco); G caeca poeypa, ooa oeppoa eea ep-oeca; X oac opeee; M caeca poeypa, ooa pepa aoe ooe aee ceco epeeo, opayeoe poeypo G ooe aee.

4. Papaoa eex peax pa oa oaaee poeyox apeao - oaaee yaopo cpeeo ypo oecoo apeaa - aeca opaaoo cpyyp pep.

cepa oppyc eee peae paa, ycaaae cooece paa a poeyox apeao oecoo apeaa.

5. Ocyec oo, .e. coppoa oo eeoe ooeco epeeo oa - oeco oe opaaoo cpyyp peopaoa eo eoe co (apep, epo eoo), oopoe pae epay [0, 1] xapaepye aeco opaaoo cpyyp. cooa ay aecex oeo (c. ay 18), oo oy aecey oey oecoo pep aeca opaaoo cpyyp pep.

peoee eoa oe cooec opaaoo cpyyp cpae pep oec pep aeca opaaoo cpyyp oo oe cocoe cpyyp pep "a ec" "a yo", apa poee pecpyypa oae o oo e. Ta opao, cpaaec ceya eoa poepoa pecpyypa opaaoo cpyyp:

epapxeca oe cpaeecx ee epapxeca oe y epapxeca oe opaaox ee aa peeoc opaaoo cpyyp oopee (p eoxooc) a poepoa (pecpyypa).

AEHE epexo poo ooe ca c coepecoae pooceo eeoc pep, o ce cpoeoo oeca. Cpe poe, cax c po peopaoa, ocoy ayaoc popeae coepecoae ypae opaa. o peye epexoa o opaao cpyypa. a oaae apye o opaaoa cpyypa cpoex p ec oe eeo, ocoo aapye coaeo ee c e oce aoe caeoc, oooc peyaoc cpoeoo pooca.

B ycox ocoo eec ooeco cya caa ecoo aoc coepecoa opaaoo cpyyp cpoeoo pep ac o oppoa cpaeeco oe. ooy ee ee opa ocpoe cpyyp pep acoc o ex ooecx yco oae ee po ee pecpyypa pep.

poeee cceoa o opoca eop pa ocpoe opaaoo cpyyp cpoeoo pep oo cea ceye o:

1. cceoa pooceo-xoceo eeoc cpoex pep ycox poo oo oaa eoxooc coepecoa cyecye eo-yoao opaaoo cpyyp ypae. B ccepaoo paoe peoe o eo oppoa opaaoo cpyyp ypae cpoex pep, oop oe o cyecyx eoo ocpoe opaaox cpyyp ypae ooe ocpypoa oee e cpyyp, aapoae ec ooec yco.

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