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ec ecoo ayoo epa, . 1 (22), 2004 POEM MAHOCTPOEH 621.9 METO HTEPBAHX PACETOB PAMEPHX EE .M. Xe (1), C.. eco (2), .. Mae (3) email: khikevich@mail.ru (1), pestov@zbsusu.ru (2), mpg@susu.ac.ru (3) opac ocyapce yepce, . ec, Pocc Ca ocya 20 apa 2004 .

pee ocpyopcoexooecx aa aocpoe poo pe- c eo, ocoae a eop paepx ee. cooae ooe epao aea [1] paceax paepx ee [2] ooe peca apaep ee e ope ca, a x oo ae, pae epaa (aaoa). p o yaec eopeee xapaep ee paepo e a oyco opeoce, o oae aeoc ocoepoc paceo, o cpae c pao eoa acyy epooc, ocoeo p pacee ocx pocpacex paepx ee.

B ocoy eoo epax paceo paepx ee ooeo pecaee ex, yox paepo, x oyco ooe, a ae opeoce e epax apaepo oeppoae c cooae oepa epao aea. Hapep, paep A cocaeo eoo yooo ea paepo e poyoo paoe epaoo eeceoo ca oo aca a A = a, a, e a < a p o paa a epaa opeee ae, a epx[ ] paa a ao paep cocaeo ea A. pa epaa dA = a -a ye oca oyc TA a paep A ea paepo e.

Meo epaoo pacea paepx ee p aae ooc oepa pae acpo cao c p opaoe oepc pee cooeceo paoax [3, 4].

Oao x paoax paccopeo oo peee opao (poepoo) aa pacea paepx ee c cooae caapx oepa poyoo pao epaoo ca.

pee px (poex) aa pacea paepx ee caapx epax oepa eocaoo. Hapep, axoe eecoo cocaeo ea eoxo cee oepa, yeae py epaa. B x cyax peoeyec ocooac ecaap epa oepa, ee C.M. Mapo [5]. poyox epao ecaape epae oepa a (), ee (/), coe (+) yoe () pee a. 1.

Hecaape epae oepa oaa coca A A = 0; A / A =(-) ( ) c x oo oo pea pe aa pacea paepx ee, aoap coooe:

X + A = B, X = B A; X A = B, X = B / A;

(-) ( ) X - A = B, X = B + A; X / A = B, X = B A.

( ) ( ) 108 .M. Xueu, C.. ecmo,.. Maeu Taua Hecaape epae oepa poyox epao Oepa Coooe - b, a - b}, max {a - b, a - b};

A B = Bae (-) min{a min{a / b, a / b}, max{a / b, a / b}, A, B > 0;

min{a / b, a / b}, max{a / b, a / b}, A, B < 0;

A / B = eee ( ) 1 b A, O A, B > 0;

( ) 1 b A, O A, B < 0;

( ) A + B = A ;

) Coee ( ) (-)(-B A B = A / 1 B.

oee ( ) ( )( ) Ta opao, peee caapx ecaapx oepa c poyo epaa ocaoo eoe cpeco pee ox px opax aa paepoo aaa.

oee ao, o cpae c poyoo, ec pyoa paoa epaoo ca, ocaea cepeo epaa payco eo opecoc, o ec ooo p epaa [1]. B cooec c ao paoo, apep, paep A pecaec e pya (pc. 1), e A = a0, r. B o cyae cpeee aee a0 = a + a / 2, p yco( ) , o a payc r pae ooe oyca a paep, o ec. r = 0,5TA = 0,5 a -a.

( ) Pc. 1. epaoe pecaee paepo pyoo paoe yc a b cpee ae paepo, a r1 r2 payc ( ooa oyca) cooecyeo paepa. Toa caape ecaape epae oepa pyox epao oy opeee cooec c [1] coooe, pee a. 2.

a. 2 o, o pyoa paoa epaoo ca oycae peee ecaapx oepa oo coe a, o opaae peee pyox epao pee px aa pacea paepx ee. poe oo, caape epae oepa yoe ee pyoo paoe po oee po epaa, e cooecye oepa poyoo paoe, oopa ee o coo eopeooeceoe oocoae. Oao, ec oyc aeo ee oax paepo, o coco pyox epao e pecaec a y o eocao, a oepa peaa oepa pyox epao ecoo poe. Ho pee ox px aa, e e ooc e ecaapx oepa pee aa c oe peoa aeoc pacea ceye ce e cooa oepa poyox epao.

Memo umepax pacemo paepx ee Taua epae oepa pyox epao Caape oepa Hecaape oepa a, r1 + b, r2 = a + b, r1 + r2 a, r1 + b, r2 = a + b, r1 + r( ) a, r1 - b, r2 = a - b, r1 - r2 a, r1 b, r2 = a - b, r1 - r(-) a, r1 b, r2 = a b, a r2 + b r1 + r1 r1 b r=, 2 b, r2 b2 - r2 b2 - ra, r= a, rb, r2 b, r poyoe pyoe epa oocc aco epaa.

Oepa pyox epao peca ee oooc pee oepex epao. Opac a. 3, oopo cee eope oppeooo aaa [6] o cyax poeex aeaecx oa M cepc D eacx cyax e. Ec p a oa paep eo aeaecoe oae M(x), a a ooy p oepeoo epaa / 2 = 3(x) = 3 D(x), o oo peo oepa oepex epao (a. 4), aaoe oepa ox pyox epao. oee oo, coooex epax oepa oepex epao (c. a. 4) oepa yoe acoo pao opaae cyoc eope o cepc poee eacx cyax e (c. a. 3).

Taua Teope oppeooo aaa Cy poee M x y = M x M y M x + y = M x + M y ( ) ( ) ( ) ( ) ( ) ( ) D x + y = D x + D y ( ) ( ) ( ) D x y = D x D y + M2 x D y + M2 y D x ( ) ( ) ( ) ( ) ( ) ( ) ( ) Taua epae oepa oepex epao Caape oepa Hecaape oepa a, r1 (+) b, r2 = a + b, r12 - r2, a, r1 + b, r2 = a + b, r12 + r2, a,r1 (-) b, r2 = a - b, r12 - ra, r1 - b, r2 = a - b, r12 + r2, 2 a, r1 b, r2 = a b, a2r2 + b2r12 + r12r2, 1 b r=,, 2 b, r2 b2 - r2 b2 - ra, r= a, rb, r2 b, r110 .M. Xueu, C.. ecmo,.. Maeu Hecop a eooc opeee opao e epaa (cepea cpeee aee epaa e coaa, o ec opaa ea pacpeeea ecepo), oepa oepex epao oo cooa p pacee x paepx ee, oopx ao pacpeee aaeo ea oo ca opa.

oepa peaa oepa oepex ocaoo poca, a pa aaeo epaa peo cyaec a ce ce aoepox coea.

Ta opao, epa pace paepx ee eoa poyox pyox epao oo oec eoy acy y, a epa pace eoo oepex epao epoocoy.

pep. ococo copoo paepo e, pecaeo a pc. 2 [7], peyec opee oa paep oyc aaeo ea A. Peee o paepo e eoa acyy epooc peeo paoe [7].

Pc. 2. Cxea copoo paepo e [7] epae eo pacea oc c cooae aoapoao cce epa [8] p cxox ax pao [7], epeeex epa . Peya epax paceo eoa poyox, pyox oepex epao p poepoa paepo e a coe apaee aaeo ea pee a. 5. coe oaoe yooe ooee aaeo ea paoe 65 ooceo oc X (a e yo 30 a o yaao paoe [7]) o aeo ye ocpoe yoo epaa, opeeeo ooee oa eopa aaeo ea.

Aop ocpoe yoo epaa pee paoax [2, 3, 4].

Taua Peya paceo aaeo ea Hee Bepxee Pace epe ooee, ooee, apaep aaeo ea oyc T, paep A A, A, Meo acyy 3,56 5,24 1,68 4,360,Bepooc eo 3,99 4,73 0,74 4,360,Meo 4,52 6,25 1,73 5,380,poyox epao Meo pyox 4,53 6,25 1,72 5,380, epao Meo oepex 5,08 5,70 0,62 5,380,epao Aa peyao (c. a. 5) oaae, o apaep aaeo ea, paccae o cyecy eoa acyy epooc, oe o epax, e oo epe ya opeoc yox paepo. ooy coaco epa pacea epe paep aaeo ea eoxoo ye pepo eo epae Memo umepax pacemo paepx ee a 1 xo oyc aaeo ea a p pacee eoa poyox pyox epao, a eoo acyy o oao (0,86 0,84).

B eo, pecaee paepo e ope ca, a x oo ae, pae epaa c yeo oyco opeoce, aee cee ox epao c cooae caapx ecaapx epax oepa oo oee peao oeo ya aoece ex yox paepo ee paepo e p pee px opax aa paepoo aaa.

aee Papaoae eo epaoo pacea paepx ee c cooae poyox, pyox oepex epao oo oee oocoao, o cpae c cyecy eoa, pea ocpyopcoexooece aa aocpoe.

Cco epayp 1. Aee ., Xepepep . Beee epae ce. M.:Mp, 1987. 360 c.

2. epae eo pacea eeppoax opeoce aocpoe / ape C.., Xe .M., eco C.., acaa E.H. ec: T,1991.109 c. .3. op. 4 a. Pyoc e. BHT 30.01.92. 316B92.

3. ape C.., eco C.. Moepoae ooc oepa pae oepc // Bec aocpoe, 2000. 7. C. 25 27.

4. eco C.., Mae .. Moepoae ooc pacooe oce oepc a caax c p acpoe // ec ecoo ayoo epa pO PAH. 2003, 2(19), C. 3236.

http://csc.ac.ru/news/2003_2/2003_2_6_1.pdf 5. ao C.A. p. Meo epaoo aaa. Hoocpc: Haya. 1986, 221 c.

6. Bee E.C. Teop epooce. M.: Haya. 1964, 576 c.

7. Coo .C., Coo C.. Pace copox exooecx paepx ee. M.: Maocpoee. 1980, 110 c.

8. eco C.. Aoapoaa ccea epa. Ceeco 2000610835 o oao pecpa popa BM o 04.09.2000. Peecp popa BM Pocccoo aeca POCATEHT.




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