UO1!CC 12 1AGU 10 IIJC 20fU.CC

b9i.bp2a U19A pc dnoicq M!IIJOIII Cxbflcil bcLun22!ou bLoiqqcq 1P91 fIJj CLcqu rncjriq1u ©© p? A9CIUC VJ.119P91W VII L1JJ12 LC2CLAC(f 2JJOLj 2CCOII2 O1CX 17O1 O CXCCCq IMO

O 1C J49P0119J J3flW1fl O ECOIIOUJFC IC2C9LCIJLc2cmCp bLOL9UJ i'J V22f JI4C!1J VuA obnj!ou2 ccbLca2Cq ipo o rpc 911OL uq uor ffJO2CECII0M2Pb2 12 92O L91CIJ1 9CcUotAjcqcq CLLOL2 VLC UJ!1JC JJJ!2 b9bcL !2 bvz. o

MJJ9LIOU uq A9JC jOL COUJIJJCIJIZ h!U9UC!VI afibbOLl GLOW COjC b0!XiPU!dflC 911q wnq1Cp19I? LAIU. 4OLIJJMC2IQU? Lj1JCC10IJ WU0L J0flJOfl2C flr'B' 192IJ!IJOU flU!ACL2!lb91.pcjbgiua 91 BCL1C1C BL!1!2P C0i111JJP' C9UJC1CCJJ01Je QJJCVO COIIIIDP!V H91J91.cr 2EKOPW2OU 1LC .CCLC2 jcq 10 COU2qCL9pJC IUJbLOACUJCUI o flJC b9bcL i flJ9ZJ 2cunu9IL2 H9IJ2CU O2ç 2CIJCWtCIIJ9IJ DC! 2POOCJC OL 2f1C 0U2 JJJC COUJIJJCUj2 OLØ1CJTJ o wA 9CJAT20L2 ICLLA H9n2w9ua VULCM r'o uq 4MJ1!WC J4CMC? 92 MCfl 92 IOPU coxJjfl2 b9bcL bsi. oj, wA bPD 22CLW1OU Vj IJJC 1AHJ DCb9LLUJCUI Oj C0U0UflC2

MOACWPCL JÔ?cwpq i"iv on

JO?O 922ffCfl2CU2 yACIJi1CI4VJJOI4VI' BflIEVfl Oh ECOI4OWIC KE2EVKCH

jOLJUU b1bCL

A9CIIJC VJJ-2IJ!

KVIE DEBTAVJJAE 2ECfIKLLIE214OVihVKVNE1KIC bKICli4O Oh ILEKE21

14BEK 1iiOKKI4O bVbEI 2EB1E2

uq EKCP!CO ir QOQ3TJOT EL ?8flhJiAeL2! 0j CP!°QLflC 2CPOOI 0j Bfl2!UGAcU vi-ei

OL pouqa uq pouq oblou2

qcLcuwj cdii ou ojjoeq p? we poI4 cuij U1CLC2 L1C uq cowbruc ijoubimiicp.c bucc

A0JI!(A flIJC1OU LC OLCC o w qcuc oj w bLoce je cwc we ocpcou LebJc!u wc couluflon-uwc uioqcj p? ouic qicz.eic bbLoxiumpoIr ucq w qL uq

uoubucp.cjjA ouj? qici.cie qw i.c ncq pm we cujou bLoccqm.e 2!jj qoe uoI LeJ?

o we nuqeLJAu bLocc Ne jee we AoJvJuA jjnJc1ou JTuLewccq 9uq e21uJ9ie

BGCii2 buce2 o qcuA AC ccm.ue qebeuq cLnc!vIA ou e oi.uj oj, we !umiwueon2 AOJVtff

je bLoboae g uoubwcpjc egiumpou bLoccqm.e joL Coupunotl2-pwc oqrn2pc woqcj2

VB2IXVCI

I�VJE DEKLAVJJAE 2ECfIJfldJE2MOMbVIVVIEJJflC bIflCIW3 Oh II'tLEBE21

14OACWPL JÔÔ4BEB /AOLJc1U bbCL

I

noiuboitnI .1

iLiorn noqu bnqb 11o'q oaoflw mthL3 in3nflno3 iiima viiJwii3U oIdii-Ivno3 bnod 1ctiII& bnod ioofl qiw miu1 noiiqo A3oi .11oq

ivo iliod bbE1i L3biw 5I iiiiu vi1viiU .(IOiE3 ith olni fun ll. noi1qo bnod imI rl3um i bbiii mu1ov di ion nJ3di nflo iom bni n&f3x no bnii iinuo ii1

.fn3fIi nuiu i&Ii niIibnu 3di nidi 3iiFIu3 viiEvnb di io1

omi1-uouniino3 no \ILIiifl3 !15I f1i3i1q 'iflU33 vii13vh3b lo 'iodi dT -iiltiu1 A .-iqEq (VQI) 1off3 bnB tiI gniinoiq 3(11 ni2 in3rnug113 fiiithE

3(11 ni ovi11vh3b gni3iq ((OQQI EVQI) nofl3M notl3M lo how di d b3iE11nom3b

s ni --ini13 1Iw -- 31df3i3Jii iom ibum Lth13n i iuiinii1 nJ3nfl 11n131o3f11

1T .noiiBmixrnqqi 3i313ib ibo o Iimonid f1uo1fli ri&1i *iow3mBil 3mi1-uouni1no3

ol id1 1iiq'i i II .iiu bowollol ion &1 l3voworI 31ui113ii1 gni3i-xq noilqo 1iiiiqmo .2l3bom ni3nq 3viiEvn3b niiimii ndw 1oi113 L3bom 3rnii-2uounilno3 3r11 nobn1dE

noi1ui1no 1J33i131o311i di ni b3u l3bom Iui3E di i&nii 01 Iooi qoI3v3b iqiq iffT .(3mii-3i313ib ni 3Th rI3illw) 3LdLisvE i1ib 1i 'Ino niu 'd (3mii-uounu1no3 ni i ibiilw)

bni3 thnod iiq L1n3updu b1u3 oq 3ii ii3ini ff131 iiod fli 311mui nii1 Iliw W .noiiqo bnod

oh 3di 'd boin3Iq3i noiuThb i {o � i, iI31ni 10 zo1q gni'L13bnu 3rlT

:noiiJup3 hiin313T1ib MiEf13o1

,Wb(1i)+1b(i)ii=ib (1.1)

m (.) bni (.)i noiinu1 3dT .noilom nsinwoiH bmbnsi i i {o � i, 1w} 313(1w

(33nii11v uo3n1inini io) noiu11ib 3r11 bni (nsm uo3nIirnini io) iIhb odi 13viizq1 r1i lo no iir1i 3-Iuif13ii! 33nsnil 31i1 ni bxinoi nd no! srI ii .oo1q di lo noii3nu1

3(11 lo noi1s3i1i33q 3111 i niiiq ii1u33 3viivi13b ioI (I 1) lo 31ui131 inlthoqmi iom .(.)o noii3nul

h313ini iq oT .Iino3 (.)o 1i33q oh b3ili ufI l3bom (I3V3 33fl3U3O3 £ iin ioq 3(11 lo ii1ihi1ov uo3ninsini 3111 t11 3i1i33q (VVI) I33iV 3viiI3vi13b 31131

ff131 ffi lo I3bom (131113313111 SlID) (d8QI) oM-IIo13nI-xoD 311T .in131noD i ?3zoiq ioq 3(11 lo 13v31 3(11 lo noilDnul 1133ni1 13 i 33fl13i113V U03fl13if1f3if1i 3(11 i1i ffU13 31uiZ)u11

3111 ,ii al3bom 131110 fl13ffl 3113 313dT .ioo1-o113up i i noiiiivb b1Ebn13i 3(11 o i 31131

1J313fIO lii ni3d 1113 ohiri 1313in! ff131 flock 3111 lo 33fl1$flI3v 2uo3n131n1312ni r1J iol 5luJfnoJiI

ni1qobE iol 3ll3noifl3l 1133115103(11 ni lo 33n3d13 3(11 nI .(1 3LdET 33) 3viu13x3 '1li3u1um

d iimi1Lu ium noiioup 3th iodioni vo noi2ullib r1i lo noiii33fli3oq 1f1u3irIf3q 000 .iib odi ol Jobom orli niAii d bobi3ob

biooi omui-uouniino3 £ iol oflii1qo1qq1 borIiom niE1no3 oiuiinoiil 1&iiiiBi oriT

nobV1 .((EQQI) uo n-n5IoLI (O81) o-!irq bni BwsH .o) noiiEv1odo lo li3vloini gniLqmi oiii noiiEmixo1qqI 3i5I3ib lo loivErlod niiimit oiii oibui (OQQ I)

iodiio i nokullib orfi nodw ilFth oifi lo noiiimii, odi bonimixo (8V!) noniEE .o1o oi oo -mumixim no boREd rIco1qqB ni iEb 0i313ib iliiW .noiiDnul nwofDl £ 10 insJno3 i

o1iupo1 iovowoil borfiom ir1T .(88f) oJ ol oub i oiomimq ouli lo noiiimiio boorhloAil

booufilolil-mumixBm lzo iol '1lE3hornun bov1o od noiilwpo IEiinolollib lSui1q u lErli

(QI) nu bni 00q oo :\1ii3i1qxo nwoaA i ii oiorlw w1 oth iii iqoxo-- noiinoii lo borliom i oaoqoiq (EQQ!) noio1ni bni i11uU .Iobom MID orli ol noiiE3iLqqB ni lol

iriomorn orfi bni outhv loiomhriEq novi iol boiElumi oii flifq olqmi oiodw inomom olsrn imi1o io miu .((Q1) ilunoM burn JiolnoM xuoiiiuoD oglE oo) boiuqmo3

fliEq oIqmi won i&lr 5llU31 idT .inomom lqmi oil oi ooLo inomom boii1umi oil (.)Ml° noiiii1Jorrrnrnq lBluiJrnq ioI .boii4bi orn 1oJomInfq oil omil iovo boiiLumi od

noniH .(1.!) molt bofllumi rIisq oLqmi illiw boilqqs od bluo3 boiliom irli bni oil nhsnoiMnBflD noiiibno inornom IBoiloloodi ovnob (QQ1) nimAnioulo bnf3

.o2o3o1q voiuiM lo 1o1Eiono 1Bmioiinj1ni

bnE (•)i nisniominEq iwiil iii 212i2no3 (1.1) 3iEmui0 ol bodiom bou lnommoD A

olqmuxo iol niu wIoiom131q orb ol&nulo 01 iobio iii lobom oil I niiio13ib foul )o -noiJ1siio13iU .((Q?I) .li Jo n&ID .o) inomoM lo thoiiioM linonoD '(8QI) nonEH

boiioq boxil £ flO £ifb inoupoil oiom niorn Eifb OlOffi i&li omuai liiDi1qmi thothom bod lIiziqi ow :oIqrni orli 01 bobbs oi iith won 'w orli oubism 'Ibrnrl udT .noiisviodo lo I '(IEUfIE1 110 01131 15I3lfli Mq E oil ion o!qm oil lo bno oil li 01131 lo1oint "boi bbl$

510W £if$b rbu Ii nov3 .o1qms oili ni noii13v1odo nilixo sbEo1lE owl noowiod ni QQl oil bEo1q k13-bid oil au &u moldoiq o1ul3m1-oi3irn iofrnm lEdi loliL i ii o!dJ31ifwB

[Eviolni niLqm b-1$1ini oull lo '1flB1U3TIi orb boB boviodo o3i1q oil I lo onoloiib 10 'liEb 01 bomqmo3 BiBb 3noupo11 rlii1 Io il13ns oil 1dI31obi2no olB3ilqmo3 bluow

boxil 13 no oldioqmi llB1ono i flub oil lo noii&iliinobi oiomiorIiiuI .EJBb 'bbow fbi$olqql$ irll 01 i1inoo 01 .Ljwioini nu1qms2 oil 1113m2 woul ioiiBm on boiioq gniIqmi

1UO •iol 2oitloqolq 3ilolqm'E nii3ldo 01 Aniiuk Ii3vioIni gnilqmii oil lEil oiiupoi ion iliw ow

.1ol13mulo

noiu11ib oil 1o miol oioiq oil laii9 .aolulEol 3iinoi3i3ll3fl3 ooiuli i3i quio2 iuO oil d boiE1inomob noiiqo 0)fl ol 113i3u1z) i 0301 01131 loioIni oil lo noil3nul

1113 miol 01 blBul i ii bnozo .noii&)iui)oq J3oTIo3 13 oluIqE3 01 gni'(il OluIBioliI ov'inolxo

lo 'ii1i1iIov r1i noi13nu1 noiuThb ii1 lo rrnol hnoiiznu1 rIi lo £bi floilq 1iri i5I1ni Joq no LIEb '1iib lo oi-mii no1 biiiLT .bvido ion i Ii3i3nBnui

iionq B lo Ac1 noiiB3fliq rIi lo &nrioqrrIi 13dioi inm1 1fli dT .IdiLiJ$vI3 m 131iq 3d1 31uiiino3 M1fb di lo '1i1idI1iBvB bnJ3 noi1Boi1i33q 1&!i gnibmi noiiJ3mloIni

rI1 i idT .Lhi1imE1Bqnon fIoiiOnliI 'iiIi11$1ov JOfIB1nB1fli offi OiJ3fflu13 01 'i1 01 quJ bnB flub uorninBini ffi :nifI3i&n-iinb cf b3v3id3s i II .qEq irIi lo 3viio3ldo

b3v-tdo rIi dliw 1n312ino3 3d 01 b3vri3b ooiq 31i1 tiork d1 1o noii3nu1 noiu11ib

.EIBb 3i31ib di lo noi1udiiiib

bnl3 noilBoililn3bi di nimix lmq iii1 3dT .wollo1 bsinBg1o i qiq i1T noi1 .33o1q 3mii-uoLJniino3 B b noi13nu1 noiu11ib bni 1mb oilI lo noiiBmuJ noii .noil3nuI ilhb 3111 no noii3h11 B n3vi noiu11ib o111 I1B3i113mBlBqnon fliin3bi

r1i lo rIBq bno3 311T .ait13qo1q 1i diiob bnB 1o1Bmi13 IBUI3E 3111 i3u1ino3 nodi

1ix t3131ni io1 33fl noilqo 3rIl3mBlEqnon 3vhth 01 1ifl di lo i1ui di iqiq inuocib io1 13vi33u hq 3od1 iuqmo3 noi1 .(1 noii3) iihu 3vi1Evil3b

bnB noi1qmuB IB3ind33T .buIono3 noi13 .abnod 1nuo3ib no noi1qo bnE thnod . xibnqqA lii 1R 1ooiq olidw f-I xibn3qqA ni ou IiB13b

fIoiinu'I noiijTIiU di lo noil1i1hn8bI M1i3mWI1qfIoM . gnifbIBM-1in9U jiiv noiiwnlitn3bl I .

3111 IBril ((08Q1) nolioM IIB3i1!qm3 nwonI i Ii MAD 3111 gnh1I3mui3 n3fLW

i boiiq noi1Bv1do 3f11 n3rlw noiiz1q wol 3vBfl ol bn31 rnu131 b31qx3 lo 31Bmui3 liwl3Ini gnhIqmB 3111 n3rlw 'bio31q i3V b31Emii 3d n noiaillib 3111 rlguodi 3V3 1ini1

Wbr + Ibti = X\1Xb wollol 01 3i3 33fl boi B iBfIl oqqu 31qmBx3 ioI .I1Bm i n33w13d noi1Bv13do molt 14 lb 3iEmu13 boorlil3Ail-mumixBm 3111 .inJ12no3 bni 14 diiw

rnH .(1X)nJ 0(n\1) = i an1ui31-goI 3111 lo 3E13VB OfLI i t lBVl3lfli lB n briE I 33Bb

3d lonnB3 briE t 1Bvl3ini nuIqmE 3111 10 in3bn3q3bni i ri\((1X)nJ_(X)nJ)=I4

3mi1-tJounuino3 3111 lo 14 fiFib odi 1i1n3bi 01 3qofl 1no 311T .n b3xil lol OE—/ B 1n31ino3 31ob13f11 Iliw 3W .3B31)fli n boiiq 31qmE 3111 gnuli3I flu 1ino3 BIEb 3d1 molt 3oo-1q

.11u231 noiiBmui3 bris noilB3ililn3bi 3vn3b 01 n niB5I3ni no 15I

molt noiionuj1 noiu11ib briE hub 3111 diod noi1i1i31 iuodiiw nr1i1n3bI

B 4ntEll2noD l3dflul tuodhiw l1$I(J3ihBq nI .IElon3g flu 3Idi22oqmi i BlEb b31qm132 13irn3Ib illiw E 1nE1no flE i61 (tB14B) molt b3d2iunuiib 3d loncIE3 (z14) no!13nu1 lo iiq

3101313111 3W 3r11 '1Iul '1i1n3bi oT .IEWi3lfli b3xfl B lB b31qm I31313ib BlEb

noiañlib 1i vo1 n w iirIi o noii3nul iliib 3r11 lo rniol di no n0ii3rIi31 i oqmi d ionn& noibnul ithb di i ii1 o gnidion ni .bioiiiinu noii3flul

ono ii oi1ioqo noii3i1io1 odi bioinI .ou1iv ioi3mIruq omo gnixil d 1qmi b3i3iioi bnE noiinu1 fiFib boi3hlo1nu '13io1qmo3 oiwior1io ni ohi II .ii1inono lo lovol s-iixo .b ziiiomniq i '1omn noiinu1 lo 13 io11m £ oi no1od ii o1im

iobinoD .noiiBupo 1iinoi&11ib 3il&13oi lo floqo1q 1Biinoo n ou noffI 111w oW

au 'd bosi1oi311&f 3 '1oiiino 1auoivdo ai noiiudhJaib all .oIdEFuw mobni-r 1&rnon o1oiaib £

ai li31on3 ni (1.1) ni i aaooiq omii-uouniino3 ouT .ooniFuw bnE nom ainomom owl iaiI ii jithaauiD oiu alnomoi3ni nEinwolH oiii oauEaod iovowoH .boiudiiiaib '11Em-Ion ion

3ila&bola iol blofi Iliw 'tIoqrnq auoo1ni n anoiiibno3 'iiis1uoi iobnu i&Ii iuo aniuJ

(aoiiianob LEnoiiianini bni liniurn) aaooiq oiil 10 anoiiudiilaib orli :anoiiwpo IJ3iinOlOThb

bnB 1mb oiii oiorl aaooiq oi1i lo alnomom owl iaifl ouli 'd boi i3fI&13 1oiiino o-i lo ba ono 1no lobiano3 oi aO3ilIiJa ii iioqoIq vohi$M odi 'H .anoii3nul noiaullib

10110ff a orfi ni1E1oii d boviiob od aw!E nio noiiianE1i iono1 ;aaoooIq orfi 10 anoiiiarum

.anoiiiafucll

'1qmi oluiJ3loiil orli ni boJqobi (i4) 1o anoiiEsi11omJq inioj odi 1E1u3itmq nI

ni o1qmJ3xo ioT .aao3olq odi lo aoiiianob EEnoiiian11i bni liiriigmm orli iol amiol ofliooqa bni$ 1unoiiianE11 niaauJ3D aoisiono 1Wb ' + lb (

1 — = ,ib aaoooiq J3odnoIiiU-niolanlO

i ab1ois Wb5ç + lb(? — ?b noiiupo !isiinoiollib 3ila&I3ola ouT .aoiiianob 1uniiim

£mm1O £ ai 'iianob 1EniIJm orli oliriw noi)udiilaib 1inoiiianiii bothupa-iul3 liriinoo-non

nood al3d olin iaoioini boqa odi iol noi1xi1bomin1q iomiol ofiT .(( I Q I) io11oI) noiiudiiiaib

muiidiliupo 1inono £ ni boviiob nood a&I ioiii1 odi oliriw (VVQI) )IO31aJV d boau

odi 1o am-iol hnoi13nu1 ofiT .(R8QI i81) aao5l-l1oaionI-xo cJ *zowominl

owl oaodb moil inoiollib 11th1noaao anoii&ñlkooqa 01 gnibnoqao-tlo3 aoiiianob 1inoi1ianini

:om 'odi oiorlw anoiiioi'tiooqa 1no odi othfin1rnua (iQI) snoW) '1ii3i1qxo nwornl ion OlE

.(o oiiElbEup bns 14 lEonil

ni aoiiianob bni3 (zi4) noowbod o3noIsviupo oil) no aoiloi fI3Eolqqs noilsmiiao wO bnE firib orli aoviiiwiiob ooiiq oT .(rJ4) 01 A3Ed aoibianob odi moil :noib3olib iorlbo odi

ion OlE odb iua .boiimiio od 01 boon aoooiq olin iaoioini mi3i tioda offi lo noiaullib

od niz aaoooiq orli lo aoiiianob off I iovowoH .1i3o1ib boiBrniiao off 'or!b ff63 ion bovioado

lo bl3oiani oioloiodT .ofln mioi iiouk off) no 611th moil boiBmiiao '1biswiouirIiinia lovoi6dw nuiqoo3B noili bn6 anoiionul noiaullib bni3 fiñb odi iIiod '116on1om1nsq ni'1iooqa

3nbomE-16q auoilJ3v odi as-- aooiod3 oaodi 'd boilqmi 316 aoiiianob Iinoiiiantni bnJ3 1iniism

ow noilT .aoilianob or!1 lo aobBmulao oillomlnEqnon duiw ril3ia ow --ob anoibl$Dili3oqa

3d nidznm 'd oiq 3mui-uounhino3 3r13 lo noiu11ib brn3 illib f1I 3uiJnooi .ni3nq 3vilIwil3b iol u mul ni n w rbiffw iiin3b

.gniwollol ffJ i iiinb 3d1 r131Jm iliw i1i (TzJ4) iiq d3 10 no!33In1no3 iuO

- IA noi1qmu1 l3bnu (I I) wo1Io1 {o � i. i} ooiq 31ii ioiini ioq r1i I&1I 3muA

no-i1 B lo 3n3upinu bns n3ix3 3113 33EIB1BU noiJqmuf 3dT I xibn3qqA ni A nI .vi1ioq m 3ii i3ini IBnimon ni (ooO)=U no ( 1.1) 03 noilu1o iinoiIj3

3111 (ooO) ni 13v31 331n 15Iolni 'nE moil ni3mi l&1l 'iilidioq r1l iuo 3Iui r11 lBLLJ3itthq

2bn3qob (0 .) i flub dT .ni1 b3izqx3 3iinfl ni b3nisiiB od bLuo3 00 = baB 0 = i 2i3irmd

311 1 .nOii3nuI nwonAnu n i (•) o noiu11ib ff1 3Iiffw 9 ioJo3v iol3msmq fiWOlDinhi n no k3iBb 3131ib b33iq Iliup3 11$ b31qmJ oiq r1i lo noi3EiIt31 lo 1ino3 s3ib 3IdE1i1v1

i 311th ni1qmi ri33 n33w33d noi1iwido lo bIo3i uouni1no3 311T

rn iol b3vii3b 3m ooE—ri ioiimi1 3113 lo 3iii3qoiq 3i1oJqmai 3flT .31dEviadonu

omi1 lo boil3q 13no1 £ 13V0 b3v13do i 3&i 123131ni 3111 .3.i boii3q ni1qmi nibnEqx3 3ff) d (.)t 1&I I=A li b3xil i IBvl3ini ni1qm 3rIT .'!in3up3i1 iom ni1qmi d Ion

n33w33d noil3nul Iin3b noi1inB1J 3111 (i I 4.,i 4 )q bnii fli Ioq 3111 lo 'Oin3b IEniIErn

.noi3Ev-13do 3V1 3)3U owl

313 (18QI) io1'T bni nilmA .o) noilsup3 bmwiol voioomIoA 3113 i3bi2noD

:(Q1

(( I +)q (A+3i)) i 1i4)q (O+)J4) 6 =

(i +4)q6 (1)

01 (1 .) 3J 3W oiq dJ lo 3i1in3b 3111 moil o lo 1oIBm!i3 n13 J3ui1no3 01 l3bio nI

'IimnoiIBl d Isril 3loM .noiI3nul noiu11ib 3111 3s!13131315f13

oJ Isup3 3m13 03 i33q3i illiw 3v!Isvn3b lsitu3q s s11 = ?b (i)t (1i I ÷,i4)q 1.

bns (?)v Iin3b 1sniism fI d (I .) noiisup3 bmwiol 3111 3io13i3113 Iqi11uM .ois 311 3 nisldo 03 ji 3IdsrIsv ninoi1ibno3 d3 03 133q3i illiw noiIsup3 3ff 3 duoirIi 3Is13Int

:noiisup3 IBiin3l3Ilth isnibio

b ((1)]t(01)J4) — = ((i)v(i) O)j— ib ib

.(ooO) oi boqqo l3 (oo+oo-) no b1udniib gnid o iiu1i1 1dB1ibnu r1i siI bbom AiV iIT

tn1 r1i ii bn (ooO) ni 1 Inioq 'nE i bi1iii d ium noflEup idT .jI=1 5If1w

won O=(O)t noiiibno3 'uthnuod 3f11 diiw 3iw () niitginI .0 3u1Ev 1ifns1Eq

ub (u)]t(0u)J.1 1•1 = (i)o (E.)

0 (1)t

1i bi1i1nbi nd ir1 0 io1v 1imIq JIilb di no i&1J work noi1Bup idT noiiii1inbi 1T .(.)t noiiudiiib 1Enimm moil bi1i1n3bi d n noii3nul noiarllib

i ilnb no noi13i1iai ni'1i1nbi nA .noiudiiiib 1EnoiiinE11 1i no b3d 3d 111w 0 b

3f11 11iii1U3H .'(3O)9 (,i —

(O1)J4 noiiE3i1i3q nitI3v5I-nI3m lE3n!1 3f11

21 2idT .ibq b33q2 B D 3uIBv murld!1!up3 211 ol b13E111B 11B3i12B13 2i 31131 123131fli

ni 2!3bom 31131 toq2 l2om ni bu 11no12i2no3 fihb 3(1110 noil 1113m q odI (111w 1n31212no3

2iai2no3 q312 12111 1T .o1dioq 2bbom 3di 1111w 2no2i-u3qmo3 {13m 111w boB 51u31313111 3(11

:gnivn3b ni

(x— ,i) 3+3=[1I i]a (i) voioom!o)I bl6wA3&1 di lo noilulo2 3111 3d (i i)r 33! bIor1 i2um 2idl dw oT

blJ$w131$d 31i1 21 A 313(1W ,i = (0 i)€i noilibno3 IBilini 1111w (i i)rA = iG\(i i)ft6 noii6up3 l3bfIU

. i6\(ii)&6 (1)(\I) + i6\(ii)&6 (0i)J4 (1i)cA :lolmn3qo voioom1o)i

noiluIo2 3upinu 3(11 213(1 noilBup3 1613f1313111b IBillBq 2ir11 A-!A 2noilqmu226 .(01€ iq (18Q1) 1o1'6T boB nihjsA .3) Blumlol niAnU 'd [i = il = (ii)ft

3(11 23i12i362 o216 (x —

1) + n (i i) noii3nul 11 1&11 1iiib 1i13v ol '263 2111 woVl

avi t=i 36 \nIsup3 3113 nii6u16vd . = udT .noilBup3 li3ilini 3(0132 3(11 (111w noilBup3

(4. ) 3(13 00 2fIOLbfll23l lE3nhlnOn lo 32 d1 13V03 o1 b3bn1x3 3d (163 31ub3z)olq 2idT

3d 01 26ff 113111 51ub33o1q noil6mil2.3 bns noiiE3lIiin3bi f1i lo 116q '1no di 3263 i&1i nI .

ilnb b3ggulq 3d n b3i1iin3bi 3300 21313mB1Jsq 1mb 31IT . xibn3qqA :(.k) 21 b3ilibom

'1i1n3bi 01 (4) 32U WOO 3W .noil3nul finb 3133 B iol biIBv 2n16m51 &idw () o1ni

bnE y 21313ffl6Thq 3111 23iliJn3bi 11113 (JO) U$UP2 i21! '(u3niblO .0 1o133v 1313fn1$1J3q 3(11

21 '3n3iDfl13 10 noi22u32ib A . boB X '1135ubni 3101313111 bn6 ,

31 +y = [i I

— 3 ni ö

boililnobi '13i3!qmo3 3d 063 noilonul noi2ullib 11 '11ni! .noi1o ix3n di ni b3bivolq

3flT .(F.)-() r1uoir11 (.)t boB (.I..)q 200LI3flul ii2n3b Isni16m boB 10101 3(13 moil 2b13P 'J12n3b lBniglBm 3(11 lliib odi novi boa nim !snoiiibno3 3(11 moil b3iliin3bi 21 hub

:noil3nul noi2uluib 3111

V

I-U -t&J :1 M35IOJHT \i oiq ii oci (c 1t 1WW ttt iitiSI toq 9111 10 9uItV I1Rm bns 91&I io1 noiuThU

ion i I mio3f1T d n3vig noii3nuI noiuThb 3r{i lo oo+ f— 1 iol loivEdod odT

3fIT .oi 01 thod bn3i (E.g) oiiin di to loiIlflrnon3b 3d1 bnf$ loflri3mun 3d1 oni 3ithb3mrni

:a13 31u51 'LEiiqôH'J d bxh3i3fthd3 3d 3L3rLtI3v3n n 11b niiIui (i)(I)\(1)nQ OO+4_,(1)

.t1o 3viii3vhb iii1 di i (')t bilE I = (1)q\(1)4 mu mm (i)p ( 513r1w

lo bq2 th d b3nim1i3b i noiinu1 noi2ullib 3111 10 bn3li 3iioiqmJ3 31IT

131li3m2 3111 ol oog 'ii2n3b 3r11 13i1 di :oi ol (t ii2n3b 1i3ni113m cr11 lo iib 3ffT 'i dir1 31131 ioq2 2'boi i&11 oqqu .noibnul noi2uThb nibnoqnoo odi

iol \I3)Ii1mJ (I3v 2! ii 113111 ' \1I1$1in3223 2233O1 3th lo noiiudiiiaib odi no Efl$b (If$noiiEi2

1n3m31)ni dT .woTiomol 13v31 31131 ioq2 3r11 won l3bi2nOD .did 02 3d ol 31131 loq2 3r11

(cOji) bo1 b3d31331 i 13v31 3u$L i II .(I .1) d nvig 21 woriomol bnl$ 'boi nowi3d

22O301 3r11 3v11b bilE (O<) 3vi1i3n Ih3i1nsi2du2 3d 111w m131 ilnb ni113v31-nE3m di 13VOW0fI 11 .flOii3Olib idgii 3di Lii og th)idw Q= ) bv1 l3woI bilIwol )bI3d

3d1 ln3rn3l3ni nl$inwolH 3111 to 2noii&iIB31 novig 101 n3di 1El '13v 3d 01 2n3qqJlrI (cO) lEiJru$12du2 riliw iInb nifl3v31-nE3m oii2inim1313b 3111 31132n3qmo3 Irigim frrI3i 3i1213r13o12

3IdilEqmo3ni 3d bluow 113111w 31131 roq2 3(1110 13v31 rIgid 13 311313fl3g bluow 2ifIT .ii1idEdo1q

3vodl3 O13 01 32o13 \(13V flliw

in3biv3 3bEm od 11133 noii3nul noi2ullib 3111 lo 3q131i2 bilE ii2n3b n33w13d ?lnuI 3dT

ni3 iidiiix ihidw 23i1i2n3b 1o 1imE1 3n13m13wq 3111 at () 't3vi2233Du2 gni'Iqq1$ d :( 0< w briE I <v) 013S ol 32133133b lo 31131 biqsi 'Igni213313n1

(& $IID 3(11) 1(o)\]) (1)t) 23i1313fl3g O)3 "1 (i)t (à.) (32133 nsiuED 3111) (co\fI) (t 2311313n3g (t (d.) .(sE33b ioiasl) (i\I)(w\) (i)t, 2311313n3g 1(1)3 I_V1 (t (ô.)

31u51 2'IEIiqôH'J d nvig o2113 21 noii3nhiI noi2ullib 3(11 lo O13 113311 loivi$fl3d 3fIT

:3v13r1 3w 23i1i2fl3b 1113 iol o2 +(1) .(I < i' I_v +041(i)t) 013S flu 1EimonIoq 2oiii2nob 3)IIIT .(I—v)\1D

311T .rlloom2 bnE 013 113 O13 3d i2um t 331112 231112113b IEiln3ioq l2om 2322J3fflO3fl3 2ifIT

(c jo gop!u2ou (T) OL c f/Ao-wc cirib) jo onL IJOMjCC fCLC CXif 2 IJO

1p12 bLocCqnLc tionjq icpcIc ip 2cunbauJcWc cjjcicucA ponuq o CPIJJPCLJfU (i gx)

E[Ef i = y jpc iucw i. q iici.c rnqcbcuqcu( ruq iqcuicjA qrLJpncqLC 1C1.G22!0U — L = X + i.c JCLGOLC couquioujjA nucoucjicq i:2o iu bn4JcnJn. E[L i LI]= I jC LC2iqrnq2 +v — ( +( + 9)L) L0UJ2CU1J coajuou qThmcu 12 ucqq lu yuA qJpn2!ou biocc i ircoi bLocc1pJC cucuqicq JC dnnc (Ior2) c2r!wiou o uq ipn (c) OfC 110

LG2JqnrJ2 LOW IJJC 1CLG22TOIJ () JAC C0IJ2LfJC fpC McipJu WfLX OL JJG ccouq 2Cbiu p!2 qqjp2iou C2f!mfoL c'u p nq io coiicci IOL pCrCLo2JcCq12flcrA lu ipc

jouu uoub,unJJCfuc o a(O['2 C2iUJOL oj ciu uo p bjncq qou MII 1pc (CL11CJ c2fiurnjoL r() !U1o () oi.uoujjgiou pou CUC2 o O2): sx = —A\9 ¶ruq = —r'u(J+2)\7 lpcojjoiiu bLocGqnL MC OLUJ IjJC IJI2 2fCb Qj C2f!uJfoL o =(c) pA ou-to-oucf pCItCL qLJJ1 C2tiUJUOL tJJ1U OT fl2Cflj IJ1CL tIpCu bLJcJu qcuAftiAc2 C0IJ2JqCL tJJG

111 IJJC CUOUMUOL MJJJ OLCC IJJC COUACLCIJCC o Q) 10 pc 2IOMCL 10 OPWIU UCACLtCJC22

C2tiWOL O 9 M! UO UJUCL OL Q ( pcin iij couici i thcq Loot-u MpJJC )o iuc e coutcutJAe ouC cu iwbjA n or 'u (t) lPc ci.UcJcucA o tG

Ipc qin2Jou jpuctrou 2C pc mc J2AuJbtofic bLobcWcqcu2!tA !u21qC tpC iuuj Lcbjcccq pA iu cwbiucq qCu2ItA jp tMo LC2nJtiu c2t!uJuoL2 o

qCuowJuroL o () f2 iuiqc tpc jutcIq1 OL oujA iu tpc CUOUflUtOL MJfjJ tpC

(V22nuJbtJou y) LC iicu !u bbCuqix j jpc 2UJOOt c2tiuJuoL t() CIJ pc ricq iuqGbGuqcucG 'u pC q (V22nwbtiou tpc j(CLUC (y22nwbtiou y) wq pcuqMiqtp

C21!UJffT0u flJq C0ft (J5) 0L UJOLC qCflj2) J{CffjflJfA COUqifiOU2 011 JJC IJWC-2CLJC2

c() rnq puqM!qtp p" C 21JACLUJU (JQ) 0L 1U !111L0flCflOU 10 J(CLUCI qGU2JIA

fC 2UJOOi qcutA C2tiw1t0L (L) (J\upu)'I K((L — pcq ou JCCLUCJ jjiuciiou

C2tJUJ1C o a(') 21JLfJU MJIJJ MC fl2C fpC !IUGLC2I UIIC qr {i i = j"u} to owc bi.oboc 10 LCbj1CG 9 uq t() IU () pA C0112!2fCLJf C2111JJUOL2 o opriu u

j,oDbJLw6Lic Em0u Oj W DUifl0U

onjq ICUq o pc buccq coLLCcqA pA tpc cnwoqcj MJJCU !utCLC2t UUC2 LC joti

CdfI1U0U 0L IUtCLC2I Lf1C qCuA1LAc 2CCflL!tiC2 p i 21LOU jOCJj CpJLCtCV tJJC2C 2CCOL!1!C2

W021 pC f LC2OUJjC ibbLoxJu1f!ou 0L 2UJjJ jCACJ2 0 JJC 2bOf L1C BCCff12C IJJC bL1c1u

2IWC J!UGL CflLAfI1LC IJC1L CL0 2 fpC 2dflLC-L00t bLOCC22 IPfl2 tPC Cfl b1LUJCtLiJ1!0U

12 tIJCIJ tpcf CACLA qCu2itA bojAuoun U SCLO M1JJ Aicjq f qujjiiou 51UC11OU M!Ip IJJC

8

3i1oiqmE d1 1is1b 1Luoi gniwollol dT 1nbnqb iol bnuod ni3fib nwonl

:loJEmui23 noiuY1ib d1 lo ifl3qo1q

: M3SIO3HT

't ithioc (.) ¶VY tI) (i).y o)i ( ' {(i)t_(i)b}'" .(1)n\(1)t {:_l}

= (i)

tü w (i) c\t

.()\() {:l} = (i) i

('i) (i) oo) i\ft

-bu1q ain3mb idi irIT .niwollo1 rI1 i 11ui d1 bnifbd noiliulni dT .1oflnurnon3b orli ni (.)t bnE 1tini I1 bi2ni (.)*

, 0 :() lo 3bi bniii irIii 3f13 olni

nigIvno3 ffni i iJ$13no biirfi di IirIw rr131 n-iooi iol Idinoqi owl iwifl iiT b3xil a b5I3bino3 d n& frn31 l1 3liT .n-iooi omiJ dibiwbnid-1ooi bq iwo1 3d1 fl

lo (iii) .flim Iliw miJ IwoL 1i 'InO .noi1udii1ib 3i1oiqm'E 3f11 gniJuqmo nfLw

o 1u1u i bni ((E8QI) nonido5I 1o1Emi1 I3rnI 32iwinioq lo !1iqi i m3lo3di di iJo1qm iw1nioq 3rD lo io1imi1 1n1ino3 rfT .3oqIuq 33n5131n1 ioI worrA

niflido i311 io Liwrini n3bi1no3 iwinioq 13uflno3 01 31dioq Ii AEm nthiiw (.)D iol 11r131ni 33n3bimno3 1ido1D .iiq iiw 3viiEvh3b lo niiitv 3rD 10 3ifmi13

.((4QQ1) £iIsrf-IIA) iqq bo1iLi £ ni ni1a1 noifl3 ioq iol bou bru b3vil3b ii

9iti1u3 9tiR(i19U-3tSJ1-31tflI nbiiq .1

nI-gulq i1)9ma11qno 1.4

i1rI3oJ i 'd b3dho3b {o � i ? } 31s1 123131ni ioq ni'h3bnu 3f11 n3viD

iii 3IqmIx3 iol ) 1n3mum 13iiith bbnB1 ( 1.1) 3qi 3d1 lo noilrnip3 1EiJn3i311ib

3viJEvi13b-31E1-i3131ni lo (ii)U hq 3f11 3nirnl3l3b ( noii33 (VVQ1) )133!IV (i) JI. 31f1 15I31ni ioq 3f13 i 1 n3dw T 3ib ihu1Em bnl3 I '1huiim-o1-3fnuI diiw 'Ihu33 lol 3d1 3d Ium rbidw-- kii 31E1 113Ini lo 33fl i3*um o io1i1 mu rniq jkii r!i 3d

rD (i) bni 3miI lo linu -iq 'Ii1u3 3d1 'd biEq 31131 wofl f1 3f11 (11)3 --3i1nu3o 1113

01

IJ3iilJ3q gniwollol oth i1iii (1i)U .'iiiuiim ii Vi1u 3viflvnob th lo i1oEq

:noinwp3 IRiin5IThb

(1i)o— = (ii)UJ (1A)

:1oisqo 1Jiin311ib 3i1odInJq di i J 31dw

Ui —

(i6\U6){(i)o(i)A —

(O)ii} + (i6\U%){\(i)r} + I6\U6— UJ

uouni1no3 i1T .(i)=(0j)U noiiibno3 Ithiini thiw rn3ldoiq IIOUD i i iiiT 3r11 no bnqb ()noiibno 'iibnuod Ibw a '1huiim i (.) 11o'q dt iin 1nmsq

ihi1ui aoqmi E xibn3qqA ni 8A-A noiiqmuA .b3i3bi2no3 'JflJJ33 iLUMi1Eq

ii niiuflm bnE 001 ol LEupo 3uIEv zn1 thiw bnocl inuo3!b i iii1 ibinoD .2noilibno3

irtT .1 i o1ci 1i31ni 1oq 31ft ndw (i-T) olEb JE iiq au d (TJi)8(1i)U iJ .T iib :oJ bnoqno3 &

0 = (i i)U 1mi1 (noiiibno IRiiini) 0�i 11i io1 001 = (i) (noquo3-o1) 0=(1i)3 (E.4.)

.(noilibno3 iibnuod) 0�i 1113 iol

T oiiib ii 1iqx noiiqo 11i i1T .bnod inuo3ib 13 no noiiqo l1& Jxn ibinoD

nb ti 25luiEfn bnod 1nuo3ib ni'1ibnu 3111 bnE X 33fl (3Ai11 io) i313X3 n if1 ioq ff1 n3dw I Jnufl3m-o1-3mI1 113 i1q 1th3 sf11 3d iJ .�T 13f1W

:n3fIT .1 i 31131 ii1ni 1113 iol 0 = (i i)U mu 0�i 1113 101 (x

— ( T

— i)H 0) xim = (i)

, 0=(1i)3 (4.1)

(U) ol 1f$oiln3bi 3d bluow bnod noquo A .111$1imi b311i1 3d ni 31qrn13x3 13f110

ff3 12nh13s 1 lo 13W2 31131 123131fli ciA .1113 b3vi3331 olsi noquo 3111 n3fIl isfil Iq3x3 13 I (ioofl .qi) qs A .'1-1=3 31131 is gnisq l3inlno3 s s b3w3iv d nso '1 31131 uongox ii ;(i .q31) 1 1vo1 3mo2 nsth (3iom .q231) 1 3d 01 b331ns1su i IsrIl 3151 3ldsnlw Is flJ$oL

3111 ai g 3r1i 1113 ci! .(( 1)xsm=D .q31) (1 1)nim=3 thiw 3viisvil3b s s 3d ff33

bns 0=3 sr1 X Is A3tJ1i noiiqo 11133 3V1U3 b13i A .13511no3 3di lo 3u15v 33131 Jns1no3

i lo I 3113b is 'Jnuism-o1-b13!' 3di i (in-i-Tn)Y 31311w (X-(iri+Tn)Y0)xsm=(i) noiiqo b13i q-l3woq A .(X�(in+Tn)Y)1=(i)g bns 0=3 21311 noiiqo b13i isnid A .bnod

o ,noquo on 'Q3q bnod ni1rnbnu 3d1 I1& niimA n 'Iu3 2i31x of hmiiqo ivn i ii .uliw mi Ii vsii bnod inuo3ib no 2tI nqomEI bni niimA

II

bnl3 O=D &1 noiiqo 11& qo1 V1U3 bbi A .(n+Tn)Y=(i) bnh3 O= af3fI

.m<n mo iol (X-(m-n)\((im+Tm)Y-(1rI+Tn)Y)fO)xim=(1)g

vf (.4)-(1.f) bru (.)-(!J) nJJno3 =(ii)A bnE =(I) nrIW

= (i)r niIW .(1vi3q1 (Q8I) nEibickms1 bni (VVQ!) A3iV) noiiu1o nwom!

-xoD) noi1uLo nwonA 3v&L o2th (.)-(I..) bni (E.4)-(I.) o\iA = (1i) bnE

rnui 11i noiiu1o2 m1o1-boI3 di 13ihI b3IJ3ib w th .((d8Q1) o5I-lloioriI ni .iin i131rIi ioq gnih3bnu r11 lo m13i noiu11ib f1i b noiJ&ifl3m1mq lBlu3irthq f b5mqmo3 (OQQ!) 3iirIW bnB huH .i&flib atLumio1 rnriq 3d1 in3i311ib noi1qmu 3ili

-3rnii bni £lBb IEu1 moil b3iimii ion) 13i8mq odi lo uljv 'ui1idu lo 1 i iol m3di

.(I 31dIT -1i3111 cI at rburn d i3IIib n hJrfrIo1 di i&hi bnuol bnE (in3bn3q3b

iiliw noiiup3 E1iin313Thb hiiiq nbhq 3di gniv1o 'd hq 3viiJwnb 3iEmii3 3W

d (.) noiinu1 nwonAnu 3d1 bnE bni ô iimii di 'd b1dq31 13rn11J3q IIi-IB 3r11

i1q 13*rnm 3f11 iidi '1i33q 3W .E rIoii33 ni b3di13b (.)ô ioiimiio 3ni3mB1Lqnon ai anoiiEiv3b b5uup 3d1 gnisiminim c1 ii 3iImii briE inE1rIo3 i kh 31E1 1iini 1o

3rLi iol noii1$3i1iiu1 '1no 3rIT .bbom rli d b3ilqmi iith bni onuz b13i' n3vi nwi3d MID briE I33iV 3r!i lii IDo\ = (ii) io = (ir) ol nibiiI noiiqmuaf

lo iork 3vii3q1 li3rli n3V1 noiiu1o2 ii3ilqx3 b13i' rhi i&hi i \13vi133q31 I3bom .bu 3d bluo3 Aii lo oiiq i3A1Jm 3r11 iol noiiDnul ifio iH .noiu11ib briE hub

93j1q hI9mwIEqno lo nohudiiIiU 9itoiqmA 9dT

b33q i1i3rnJiiiq Liiuu 3r11 iE ogivno h1ii U 33hq ovilfivilob Iidi ix3rl wof1 3W

briE 1h1ii1l3mInJ3q-non b3iEmii3 i no!i3nul O iii figuoffi nv b1oii irLT .n-Jooi .wo11o1 ai i1u5I 3rIi o1 noiiiuini 3dT .( m3lo3fIT n-iooi nEdi iowoL 313VflO3

noiiibnoD Lthiini fihiw (i)U (i)r = ib\(i)Ub :noiiEup3 IEiin3l3IIib 'cuinibio 3r11 I3bi2noD

rhJ huh won oqqu .(xb(x)t i,)qx3 0U = (i)U :'1qmi i noiiu1o iI .0U=(O)U

b3iEmii3 bnB nwonAnu 313W noiilwp3 IEiin3l3Ilib di lo (.) rloil3nul 1n3i3i113o3

d (.)U noiiu1o f1i 3ifumu13 .%1n 31E1 hE (.)ô d '11sni3fnE1Eqnon

briE ,

n 31E1 hE 3gI3Vfl03 Ihiw xb(x)6 IElg3ini 3(11 woVI .(xb(x)o i)qx3

0U = (1)U

bn3q3b U 33fl 3VilEVil3b 3(11 3VEII bluow oIqmJux3 uu1imi A .(1)U 1o1Emu13 3(11 hhiw o

lo 2noil -2O13 no tiib iiupi bluow kii lo iiq i*mm Ii lo noiiE3fli3q2 Ii Juod iom ninm&I nifli1 d 1Iw IEhmfi1qnon bi&nui d 11thlnroq bhio3 Aii to i1q Amm fT .viiBvi1b

.viiviib 31n1 lo13lni no 1uJB1oliI "3r1-gshiid1' 1i to ni! r1i noI V1U3 3i1q

3flrl li gnigr3vno3) noiintñ noi)udiilib ovilBIumu3 3f!I 10 o111mil3 3i113mu3qnon noqu ( 'iL" ft l1i )i ni813vno3) 1in3b d) ol boqqo ( 1n

'kuoivdo i .iiq 3vi1iviI3b 'd b3i1i11a (I .4) noiIEup3 Ithlrl5IolIib Lsituq 311T

l3v3woH .3voctE noilEup3 IEiinol3Tlib sunibo 31qmi 3111 n&11 x3lqmo3 iom 11silnjidu o1i i noiJu1o 3ff) 1iiT .3IqmEx3 113f11 lo lr1girii nuim owl 3f11 iud Ii

'I1i3Iimi anoil3nul 1n3K)1113o3 3111 bnoz .noi13nLñ Jn3ii113oD 3d) ivo ling3lni ni l3mElEq di 11i iol 'n) 13l11 io ( noilonul noiu1uib 3111) r1n 31E1 IE b3IimiJ3

10 noilEln35Iq31 s niildo 01 i looiq 3d) 10 q3l 1ifl 3d) noi1iulni id1 f13V10 .(A bni li1n3mBbnu1 3111 13bino3 oW .io1smi1o noi2ullib Od) iovo lElgolni ni o3nq ovilJlvnob

moldoiq 'd3u off) lo (ooO) ni boxil x iol noi1u!o offi i idT .( I A) lo (x :1 i)7 noifliloa gniwollol orIT .(x lJ lnioq m £) (1)()6 = (x;Oi)1 noilibrioD Iii)ini dliw 0 = (x;i)'1J

noiludii1ib 3i1oiqmaE odl niEldo 01 boboon noiJfthol3E1sd3 li3lgolni 3111 obivcnq Iliw £mfnol

:o3rIq oviiiwiiob on) lo oi ig\j :1 AMIvIHJ

.'tx(' x)( i' + 0 =

? % II 10 t ? mti\ tV'V

)X .(x)t \o

oii ni boliElob i (x)r no (x;1i)1 noi)u1o 1i1nom1$bn1J1 3111 lo o3nobnoqob odT

nIoiI3nu1 lo 1E1go1ni cfguoidi '1no o no bnoqob Iliw (1i)U 1Luoi £ A .1 immoJ lo looiq orli lo OXtOg-IOVnO3 lo booq on) 5IOI5lonIT •n olE-I 113 oglovno3 doinlw xb(x)o lo .t) 1o io1smiIo 3i-IJomElEqnon £ lo ou odi d nwob bowo1 od Ion iliw oriq oviJf3vnob

1o arrriol ni 1th1nE)du od nio t lo o1srnu1o i11omnJ3qnon 13 gniu moil 2)florlod oniT

on 113 bovoiI1313 i on1ijdoi ni niig idT .o3i1q ovilf3vnob 3d) 1o noi1ii1ioqaim gnibiovll

:33flq od) ioI booq O3flO13VfI03 1o rrnoJ nIl )o nc ot it\3 :E M5IO3HT

i\%iTh 1W

th i (i I +1iEx)q diriI lo thviini iini1 ivo oiq rIi 1o inb noiii2nfihJ 3f11 fqrnx ioI rn di .1) UA +i6\U6— ioiiqo voioom1oA bmwA3fd i1i oJ nibrtoqno3 '1 noi1uIo IEirl3mEbnu)

'cJ bimii d bIuo3 i1mmq di nrII (1.!) ni bsii1rnsrsq rw r bn 1411 .(O riliw lud (J) ni J ai noiiinii rIJ niido 01 noiiup Ifiuin1&flib Iimq 2irli 1 ml \Ih33nmun v1o :boodiIAit-mumixsm .noii3nul boorlib!it dI vig irIi flqo1q 'oAmM Hi v,8 .I3born di lo 'Oirib

((i)\t o)v . (ö.')

(-') () ) to + (() 1))A\1 = ( i)\I iiw twy (+i) ,x

io1mi1 inino3 i lo noilibbi di bn 3110 33ii3B1q iii E m3lo3dT in3m3lqmi oT (i)V bni b3iiIqmo 1 i61 noi31qx3 di ni .(li)V niimv 3iiolqm\B 3r11 lo

qiiiiood rI1 ElJb 3Jin it3lni di lo 31ubu1i rIoiiEI3no3 Liii 51i103 3th noqu thn3qob

ir1J iii (1i)V lo iomil qniatood rft lo iibithv 3dT .3oiis1q iii bu 3d n 3upinfb3i :qi 3Lqmi owl ni 1inoD 1olBmui3 ifT .(QQI) £i1&li-iIA ni b3volq i lx3lno3

31ubo1q ni1qm31 3dT .EJb fli iilni loq lEnigilo dl mm? wb3M (1)

niiix3 noi!no li3ii 3d1 3'ri31q oi 2noiirndo uouiino lo I3oLd mm? wnboi .(Q1) f1ni bnE uid bn (Q8QI) dnUA d buboflni £3bi ns lEb liniFio iii ni

ii w3n irLi diiw b31io2 noil3nu? noiilflib bnE flub 3d1 3imiJ, ix*I () bnod nii1ui orli oiuqmoD bcu3 Aii lo 33hq ihim di ol1$mi1o ndi bn noiic flu

3dJ lo nth-u3v 3LqmE 3r11 i (li)V lo (i1)*V 1oiBmii qEiiiood 3fLT .(ii)U 23MIq .(ii)U —(ii)tU i1q bnod?o 33n3131?ib

'd b3luqrno3 nod 3v&L bluoo iiq 3viiivhb e( I .4) niv1o ?o btoini Llini1 oiq Jiiiun-Aeii 3d3 lo diBq 3IqmE 3111 lo noi1BLumi2 o11ED-inoM

bnE i-T i11b 11 i JE nitthi I1i d1Eq o1qm 311T ,Wb ( ,i)o + lb {( io( i) —

(0, i)14} = 'd b3Di1q31 nokullib bns 1mb thliu3n-1th 3(11 diiw b3iElumi2 3d bluow T 3113b 11$ nirkini?

-1th 3111 l3bntJ noi1Elqx3 1&Ioiiibno3 3{-nmns&T 3(11 E () nuiflw3$I .imi1 iif1 :33rIq 3± 3imhnb hnlu3n

= I_Ti 'b(1)3{ubi _}qx3'

+ {ubi l_}qx3(Ti)]

= (ii)U (V.p)

1Enoilibno) r1i lo ln3m1J1 3111 nii3vB d b3imii3 3d n3lil n1 (ii)U 33i1q 3rIT

.f1isq 3IqmE2 b31EIumi sf11 ivo noini33qx3

.iimiI-fit-uounuirio-ifIgi5I = fbiD rIi 1no 1iup31 iori bisbni qiniiood rI1 lo noiiiuqmo3 3rli ,nufnm1oIq i1uqrno Io mi ii!

gnilqrrl ' rft iol qool i lo noiiibbi$

gnbiiq noliqO bnofl bns bnofl inuoiU 2

aaQ 911T 12

moil nioqbim A-bid iBi 1ioqb iiilloboiud 'b-n3v r1i i bu 1i 1oq rIT 1i1nI .Q1 'iiinc!&T ol EVQI

, 1 onul moil liib 31E ElEb fT .iiimA lo Ani

11iiq'1 11iH-T io iqq LEi31mfnoD ff3u lJil3nEnfl m1-tIofL id1o no biiq 1ii 31uiI ni bbivoiq i 1b di lo ioIq 23Fi2-mii A .1iil ii3IIobolu3 di ilhiw 'baoL3 vom io11 ni'Eibnu --udLoboiuJ b-nov d1 rI3u-- iirr 'b-n3v3 i ni2oofLD .1

rn niAih L1Ehi1 (i) :nwhd imoiqmo £ i viflviib ni3r1q iol ah11o o1ulu1l2oMm 2uoiiuq rIi lo no nibiovB (ii) bni 31E1 "uoOnE1nE1fIi"

ni 1D3113 Jnrn11J3 iibnbW bnoD 1i 1qmnix3 io9 .hii 1riirnvo dhiw bhsioi3 01 3vIrI bhiow hEfil iflib bnuT 1E1bI win fli ni 3Aiq s iiic 1Amm 2bnuL 1E13bT r!1

.b3r1ioom c1

oh bnno1nE11 iw 'dT .bIi' in1Eviup3-bnod '1hniho ii b1oup iin flT 1n3m1n1ni ofli lo H iiq JnTIu3 3f11 gnivnth hhuJEm-o1-bbi b3bnuoqmo3-kuouni1no3

b3bnuoqmo3 '1uouni1no rI1 ni1uqmo3 nfL1 bni ((i —

T)\à)(H\(H —001)) = i moi!

1311 b 121fl ofD noAJ3h i 'iibnoM .((1 —

T) y—)qx3 001 = H moil 'ihuiim-o1-bbi

3IrI1 hq I3oh iol 'bvi2n1x b3ln3mu3ob nd vEf1 1u13 bnA3w i13rIW .biiI v!1qn3eU .hnfnfr11ni ih13m 'nom ni 1113 bnA33w viuL3no3 i cI oh m Ion ob

'B3b 1v& 311n 1i1ni sf11 lo noiiE1 no3o1uJ d1 o3n! . 3LdJ3T ni b3bivolq 5U i1ihi1 .Ii 1hirnoiiinon iL1uT-biU bin3muB im lo i1ui ri1 thoq5l o1s 31d1T LwoL wol v&f oh nwonA i ii dT .bvL 0Q d1 1i b11i i i3flioqf! '1Fmnoiflbnon rIT

.1AiI i 23ii rI1 lo 'h?mnoiiB1 iIi noi1j ir!i12 £ nv o iwoq

b niudoi 3r11 hdD oh bu n33d o2IE 3vErI ii 1E1 i51ini '1iEb rI1o woT r1Jnom-no 311) bno3 .(hinbT :3ouo) 3m 2bnuI lin3bT hr1ifr13vo 3111 1iiI .h1ui 3111

bnE £3n3mA lo AIIEH :iuo A-bid 5IOHIJ 3inov1) 3m mioq3b lEIloboluH nobnoJ b13i mn3thviup3-bnocl b3bnuoqmo3-kuounumno3 fllnom-351111 bnI3 no 3111 biiflT .(131u35I

-nm lo 1n3ii113o3 3111 11n3n3 nI .(E3i1,mA lo AnEH :31uo) 11id IuE31T no 31131 hoq2 3111 iol 'xo1q 'hi1ub13rn-13gno1 £ no b3113mi)3 n3fIw l3wol i noi13v31

oIA .(bnuI 11313b&1 .v l13Ilobolu3 13b-nov3 .v 11iH-T flbnom-35111h no b3bEmiJ3

113Iu-ni I3vih13hi113up 3znJbolq 3F13 3viI 1113 j11313V0 .3liii3Iov 31 3113 ixoiq 'hi1uiEm 13no1

.t iol oq13ff

noiMmiia noiuTtiU i1I9mar1BqnoVI 2 noiiuniiI fluiU 1.

iliiU 2J0 'd brie x aln3i3iiI3o3 lInb 3d1 ni1Emii fli iiflO3 q312 12111 dT fT .3i1 loq2 bsi1EunnE rI1 lo niIqmi '1iEb iol E 1dBT iii brIoq31 51J 2JEmi12o

I nviD .1o1imi1 noi2ullib 3i1i3m1qnon LI J3u11no3 01 bu d 111w mi1 m 1mb 3d1 lo 1Emi1 JD9 3ifl3m I1qim q31-brIo3o d1 io1imi1 noi2ullib

.wol2 i noiivi nm lo bq2 di i&ni1 flub lo 2J12 diod io .boluqmo3

3d1 lo 21Emi12o (MTvID) 2ln3mom lo bocftm bxi1in oqiuq no2ill$qmo3 1o1

di iol t) bni o lo 1Brni1 MMD odT . 1dBT hI 2I3bom MID bns )b3I2EV

I =t) 2noilibno3 1nmom mol niwo11o1 r1i moil bnisido 1bom MID bnJ3 b3iV :('b

[3.i([,ii +3]d— ÷3)[1I +3}3_ ÷,3] (O)1 (1.)

diod ioI (11_x)(_1)=[iI ii— i}d riliw [ii(i— +?)]H—(?— ÷1)E 5If1W

rftno1 lo thv131ni omil iovo nsth OIE1 1oioini lo orIth1I3v Ifrnoilibno3 1xo oiIT .2bbom :[iI +i1V=[31i ,+3]3 'dnOvi2iL

(o —

I)(\o) = I : Ao3i21V1

n — + — o)(o) = I :

5HDf

ol 1301du2 Ion om bnfl i dignol b 2noi1i2nII 01 bnoqonoo 2lnomom oorIT noiioIii orb bolrigiow ow boi1iInobhovo om amo12' MMD oorb oni .id noi1isiioib

Ion ob 2lnomom owl 12111 orb noi1s3iiInobhovo lo 02u&oH .((8Q1) no2n1H oo2) llJ1miIqo

.E o1cJiT hi JO ol oIJbo1

noihimita tifI9U IRfIi1RM

odT . oiugil hi bolioqoi i Iinob orb lo io1miio bnioA 3nlomslBqnon oriT

orb 2tloqol o2113 oiugiI .1 xibnoqqA ni bodil32ob om dlbiwbnrld lEmiiqo bim Iorno.A

orb gni2tJ) 20220D0iq MID bnhl oiV orb 01 gnthnoq25no3 2oiii2rIob £rnrnED bim nEi22uED

3illocrrnmqnon orfi lo 2owIsol o1do3iioM .(2loiomsmq liorli lo 2oiEmuI2o MMD oviI3oq2ol

2Tho' ow) orb ni bobioaoi oiow 2noilEvio2do rigid i2om) liBi 1111 211 obul3ni loiBmiI2o '1i2n3b

orfl hlofiW boIBulno33E o1 i oiuiio1 2irIT .(3i1oq '(IBionom orb lo noixoilni QVQI oril 131113

\1o113mi1Iu bluorf2 bohoqdu2 2idi lorbodW .oIqm132 orb ni bobuk)ni Ion 21 8-8OQ1 bohoqdu2

rigid IBril boodulolil orb gniblEgol woiv 2'OflO noqu 2bnoqob 01qm132 orb ni bobuIni od

id1 oiq 1ii 1oq r1i b i1Inoi1I31 ibnU .iu1u1 3111 flu nuig13 iuo fln 15i31ni

.3111 3oq 3d1 01 n3qq1ii 1lii1nioq ni 1&lw no noiiimioThi 3IcJEub3v bivoiq boi13qdu bo13binoo od idim mii 31131 1131ni 3IqiIIum iol gniwollE L3bom 13 L3vi1EnI1A

.113i1qo1qqJ3

ni i&Ii 1I31 3111 01 311b 3vod13 oi 01 '33b l1 i3V 13 1ididx3 oth$ 'iin3b 311T

3mi1x3 r11 I&II bnl3 nn ir1i 3biiuo b3b1o331 5113 13v31 31131 15131ni wol '(13V 31qmf3 3111

01 b3oqqo a13) no 11El bnE i1I13m 3iu1odE 3111 ol lx3n b31312u13 sn noit1w13do bnJ3 A33iV 3111 01 b3mqmoD .(iioqqu '1i2n3b 3111 lo bn3 rliod no bisiq 1wo1 gni3d

i lo noilBnidmo3 brn noiflumv siom iidir1x3 'li2nth 3ill3mslllqnon 3rD i1in3b MID

233n31311ib 3dT .31131 1srnIni orIl lo uh1$v 113L iol 33b lo o1ii 1iJ31 i bru Lu1 13no1

iol bru3d n3bi1no3 iw1nioq QQ A .noii3nul noiu111b 3± fil b3133fl31 3d \CIIlrlUflln Iliw

noi1udii1ib 3i1o1qm' 1&iE13 3111 fl!U 31uiI flu b3flolq i 1in3b 3nl3rnlru3qnon 3111

3111 3fl3mu13 01 31dioq Ii A1$m xi 31qmii 1131 3rIT .1o113rnu13 1in3b 13n1A di lo .biiq 13V 1in3b

noitmiiI noiuTHU 2 b3J3In12noD 'bEsi1s 1o1Efnui3 '1in3b 3hi3mu$qnon bn13 i3i3ms113q 1mb 3± n3viD

noi13nu1 noiaillib 3111 lo 1o1Bmu13 31113rn13l13qnon 3111 2b13i' noi133 lo borll3rn 3111

ni \11f3do1 i r, I&11 i r1q131 3111 lo 133q213 drIow31on 1ii1 311T . 31uiI ni b3noq3l 33n3b513 vi thlT bn13 0 fl33w13d 31131 isio1ni 3111 lo 13v31 311110 noii3nul fl!J35I3fli

)25131n1 wol nEfli iom \(IEv b1uor1 o1131 15131ni f1if1 113111 11usi b3133qx3 'I3biw 3(11 01

.3133133b n3th bris no11sfl noil3nul noi2ullib 3(11 iovowod vodA .31131

3± bmwol b13d 33O1 3(13 [1uq (1 .) 2233o1q 11 Jii hub 3(11 231131 125131fli rigirl IA

oqEfI2 2iriI rIJiw noil3nul noi2ullib 13 01111 2311312111311 hi2n3b 3(1111311113131 3fIT .cQ=x lo 13v31

31qrn13x3 io .hlrib 3(11 111133113 (IO!213V31 flE3ffi 311110 f11gf13112 DiIio3q2 3(11 noqu thn3q3b

lnsrlu3 3rD lo 13W0 'n13 213 i13u2 h1iib gniti3vsl-n133m l3gnolJ2 13 lo noilE3ili33q2 3(11

'31d13 5lOffl" 2233 3111 3A13m bluow , i\x + Io + 11X) + o (0,1)14 ,.g.3 ,noils3iui33q2

lo 33fl3231 3111 ri fl3V3 bv3I dgirl £ moil Q bmwol 31131 loq2 3(11 )1313d LLuq oh

bluow (i 1o 213v31 rIgid 113 23u113v 3vibEg3n 3g1131 gniAEI) hub 13gn0112 A .331113i113v

1131 3(11 b-lI3wol Ii2n3b b3noihi2nEli 3111 liii bnJl noih13hBv IBilfI3hoq l3rlgirI hErb iol 31132n3qmo3

oh 2133 21 II .noi2ullib wol 13 b3nidmo3 (11331111 ,.g.3) ililb rlIgn3lh2-muib3m 13 23ob 213

.q251) 13gn0112 £ lo 2133113 gni3nBlsd 3± 3 oh noiI33 flu noi22u32ib 3111 bn3Ix3

.noi2ullib (l3wol .q251) l3fIgifI hlhb gniti3vsi-nE3m (131133w

ob ar (x) —

(0,i)i hub mnif gni'1i33q2 110 21212111 L3bOffl £ Ii ,31131 'fl13 IA

orli ilhiw 3LdihI3qmo3 noii3nul noi2ullib 3111 (33111 ,2l3bom 13(110 J2om briE MID ,A331213V 3rD

VI

noi1EDfli33qirn lo ii lEmlol A .iEfl lon ni1 diin a?!ooL bnE . iuiT 'd fl3vi i iiib 3di iol noin iq iini1 A .(IQ1) £i1ErIs-iIA ni bnuol d ni noii nimEmq 3fLi lo ooi ion i IfLT .cQ ol 0 no 1no noiflmixo1qqE boos 13viiE11 E i (5IID) noiu11ib

bluow ois ni 1Eimon'1oq 'iinb 'nj i&Ii noii3 ni bvoiq w ii 3fl! ni2nq1LJ rIT .i-i iiini ,ii lo uL13v 11Em iol iini1 noii3nul noiu11ib i ol h vi di lo uLiw muib3rn iol 1 nEdi 1311 131ani fIOii3flUI b3iImii IL&i1i3m11iqnon

511D r1T .(cV! vodi) 11ob ndi (VI 01 N) niflil1 oi Q) ii i5I31ni .110 noii3nuI iniI 13 'libEi E713ni biini noi2ullib

noiu11ib 3i1im13113qnon iii iol 11$v1ini o3n3bi1no iwinioq i1oqo1

orli 113d1 51u11331 d1 atd m31odT d nvi noiiudiflib 3iioiqm1$ 2idT .1oi13fnui3

.noii 31Ji i5I3ini b3iIlLuqoq 1rfid ni !3i331q iom bii nii i noii3nul noiu11ib

3viJ1$131 3r11 gnii33fl3l c4I vod 3I$313ni oi bn3i bnEd n3bi1noD 3f11 113vnoD rliiw !qmii 3di lo boi13qdu O1313 31d13i 3113 o lo 1iimii 3dT .iiib orli lo ii31I33

8-O8QI 21E3\ 31131 i13in! rIirf 3rIi 3buI3ni ion ob didw thoi13qdu il3di noiiq3)x3 ofil

3f11 ol t 10 dqiig orli flick rnui ni doifiw Jthi idgii b311$3nuli £ duiw t lo 11$rnii ouboiq .'ViIiiJ3lov 10 1v1 LIt13vo l3woL i vid bnl$ i13I

9t13L k9191111 10 91Ub1J1 ITII9T 9fIT 2 10 mu ciii 8niiminim d 1bom 13133 iol b3i1$mii i kii lo 3Dilq iO)lll3m 3rIT

2bI3i' tii bnl$ 3V1U3 b!3i i11$1 novi J now13d 3ii11uiJ3fn O1DE noiI1$iv3b bo11$up

3d1 1ii w flU3 b13i' 1gis1 3i1iII1 i niido oT .I3bom 3vi133q31 odi 'd b33ubolq

sil3b 1o1u3$I ffinom-Io-bn3 3fIi moll b3niBido boil3q 31qmi$ 3f11 1OVO 3V1U3 b13i 31313VB

di niu d 3'flU3 b13i' irnJo3ib 13 01 b3rn1o1runi ai thnod noquo 101 3V1UO bI& 3dT

ir1i i11i w no won moil .ni1q Isimon1oq 13b10-blifli niiiil lo oupind33i b1EbnEi

.boxfl as 3'riu3 bbi

(It 311$ 3i1$rniia3 )kn lo &ilq i3h13M . mgiI ni boiiolq i viuo bI3i iogii3i 3IiT

bnE AiasV MID 3r11 l3bnu b3iuqmo3 33fl bnod di LiEiob 1diT .4 IctsT ni b3l133ibni bviib 33fl 3n13m511$qnon 1i lol 1OTI3 blsbnEi .13bom oni3fnl3u3qnon

bnE MID 3r11 3'flu3 bI3i nommo i niiii1 lo i1u5I A .b3Jloq3l o1it 311$ noi133 '8 .oriq 3r113m1$mqnon di lo noilBiv3b b1Ebnsi 3no nifiliw 1li313n3 3113 33fl AiasV

O3I1q noilqo ni 33n31&11ib bnod ni'h3bnu di lo 33i1q di cii 33n313Thb nui13nimiI3

3r11 i thiriw bnod ni'113bnu di lo ii1iiE1ov 3r11 cii 33n313Thb 01 b3iudilfl13 3d fll$3

.1013131 ninIffl13i3b

81

jj1q noiiqO bnofl I 3nl3mi3lEqnon Li bni bnod inuo3ib m- no oiiq noiiqo 11i noqoi

3rD lo Jn3mom bno 3r1i ni 3on31311ib flom ifl31 3Di1q noitqO .iori bibni hq 3rIi &nrnoJ 'ôiI 'H .bo3nuonolq oiom oi 1oborn oi o3no1o11ib oioiiw o1ii 1oq

IJ3liLJon-)12n orb noriw Xb{H\(i6\H6)(-i)o} + thi = \Hb 2woIIoI ohq bnod Iinuuon-ii oiii!iii1ov orfi r1oqo1 V 5huiI b(i)t + —

(i)i} = xb :irnEnb d oiii ioq orb ou! woH .i lovol oil$i ioq 0±10 noi1ruu1 ai oonq bnod uo'- i lo H\(i6\a6)(-i)o

lo obuuinm oviiJ3Iol orli iol noiiiuini omo obivoiq lobom d3o iobnu i 'ii1ii13Iov bnod . oLdiT fli 33flq 331f11 3(11

1AoiEV orli moiI ii1iiii1ov oiiq bnocl orb i13rb oo ow c i 03131 ioq orb noriW

rbiio ol oo13 3113 thirlw !obom 3hiomlnfiqnon bnii MID orli moil huh niurli iouuL i Lobom

'1in1ini bniu owi iotho odi n&1i io8iuuL 5u3 ooiiq noiiqo Ao3iiuV orb 4huoi th .iorllo

iol oLdiiv oiom i bollo irfi nithqiu ioM .oiiq 3iiiomluiuuqnon odi moil inoiollib noiiqo Jiuiijum ioiiork bilE ) oldiuT lo nrnuloo ifIi1 odi) noiiqo onom-or1i-1o-uuo-qoob

ii oiom orb noiiqo 0(13 ioriork odi 1oviiuuinI .( olcfiuT lo flEq diod ni woi ioqqu orb)

orb lo oulEv in5nu3 orb oi oo1 bo)iuuhuvo ioiomirIEq orb lo ouliuv orb no thnoqob oorq oil) moil 'hiLiiE1ov othq bnod oil c4I i oli iiorI orb noriW 'liuu1imi2 .i ohiui Joq2

ofiT .ooiiuV niurli iorlgirl i mu) iii doiriw 5IID mud) iorIirI i 2OD01 ioq2 DfliOfflhuluuqnon

ao3i•lq MID bn13 Ao3iV orb rIioH .'1nibio33E boilibom i ooiiq noilqo orb lo nriobio .o3nq hiormumqnon orb lo noii13ivob b1sbnEi OlOffl 10 OflO obiuuo IIsI nodi

fIOiiJbfIOD .ô

niv1ooiq olidw Lobom 3iiErI3cfl 0)i3fni)o ol ouuboooiq iu booqoiq d ioqsq idT oiow noi1Bupo !siinoiollib 3iirIooi lo oi1ioqoi .5hubouiie ofmi-uounUno3 iid lio±

1o ooiq orb lo noii3nul noiaillib bnE iIiib orb o1Bmuio bnE '1iinobi 03 boiiolqxo

bolEfrIii2o 3d n noiiDnul noiu11ib oiuino oil 113(1) nwod iuw ii iE1u3ih1Eq nI .ioioini gnud3JBm-Jinob oriT .bolqobiu i iliib or!) lo nOiiEXrlbomEiluq 13 oono \111uz)iiiomEmqnon

od how ru bhuo3 rkirlw) oooiq oil lo oiiinob odi lo oiiumiio moil iiJsi2 ohubo3oiq

diiw 3notino3 om iiudi noi13nu1 noiu11ib 3± bmu iIiib odi iovooi nodi bnE (oiiiornlriIuq

lo noiinu1 noiuu1ib or!) iol boiuqmoo om 2noiuudhiib 3iioiqmA .2oi6mu)o 'Jinob orb

orb d8uorb nov3 .oithu30 oviliuvnob orb lo o3i1q or!) ioI bniu oooiq ioiu ni'1iobnu orb

orb n-iooi niurb 1oW01 313VflO3 0101013(1) bilE 1IE3i1iom1u1I3qn0n boismiio i noiu11ib

.boihiunoq ion i 2ooiiq oviiuuvnob orb lo onoiovno lo booq

3biw £ at b3iIqqJ3 3d 'll1iin31oq bLuo3 do1qqf$ 8n!d33Em-\1!n3b If13n3g 3dT

3r11 13i31q 1i1n3bi oi Jn.6tloqmi i Ii ndw 33funu1 bni irnonoz3 ni 3223DO1 lo 3fl1W 3mii-uouni1no fLi gnisii313ib luodiiw i1sb 3i313ib gniu 33flf$fl1W LJo3nJinEifti

jn3ldrnq i dcu I32i331q aiw 3iinu332 3vi1vn3b 3i1i-i313ini lo gni3ilq 3dT .233o1q r1i lo noiinu1 noiu11ib 3di lo 3qBd 1E1u3ir1q 3rii no bn3qob 33i noiiqo ni 3di lo 1om ritiw 1n3ino3 11iib nifl3v5I-nim iini1 i dJiW .3ii31 i13ini oq gnih3bnu

11Bi1rIonoqx3 n3th 11i3ni1 gniiini 3d oi bnuol w noii3nul noiu11ib rli 3m1In31iL

lo niDi1q 3di -iol noiiE3i1qrni 3VBII oi nwod w iifT .nt3133b bni nin3flJ3fl 51o13d

311T .3lulul ni b3I3bino3 3d flE) n0iiE3i1qq 1f1EV3131 13f!JO .23ithu33 3ViiEVfl3b

noiJ13up3 IJillfl3l3llib ii rkoi LEnoin3mib-ii1um 13V03 oi b3bn3x3 3d 1iE3 n both3m

noiiqo 3rh flu 3ig31E1i gnib3H .31u1DIni m131 3fh lo 13bom loi3El-iilum 31o1313d3 bim

noiflmii3 iiilimi A 3iTt3mthqf1on 3rIi lo ql3fL 3fL1 rhiw b3322f 3d fll3 t3)LThffl

b3woIlol 33oIq 3111 3Jlfnhi3 at b3ln3m3lqmi 3d b1uo noiu11ib bni hub 3111 iol doiqq 3111 1iJn3bi io noiiqo noriuo ngi3lol 33i1q oh fli 3gn&1x3 io n1uJ31 'd

.bnid 3flO i3gThi lo 23Zfl3U3fl03

ii? sk?. o ixic\3 ' -öö SI 2QQI Lu1 b3iv3$I .QQ! 'Lu1

iTt9mwrnqno 9fIi iol noitibfloD ,)i11Iu9il :1 xibn9qqA noiu11iU 9f1i lo noitsmiit

:IA MOITIMU2A (ooO) no vinwiib uouniino3 v&I noinu1 noiuT1ib bn flnb dT (i)

(°°eO) no O<D (ii)

bq Li {Ub[(OeU)D\(OU)14] 3_}qx3 ((Ov)\I) (v)m lo LB1jni 3r!T (iii) .(ooO) b imbnuod iftod lB givno iuom

iuim Ii$ ii 3}qx (v) lo hilni 1T (vi) (ocO) lo iubnuod iiiod l 13vib

IA l3bnU .inBv!5rH i 3310f!3 1B1u3ifltq ai bnB (ooO) ni b3xil i (vi)-(iii)1A nI

fl3dl iofrI .noiiuIo noii 3UpinU i Jimbi (1.1) noilBup IBiJn51flib il rkoi di (ii)-(i)

:noilibno3 dlwoi8 bni iirbqiJ 1&o1 dl ai1qmi (i)IA mior1l u1iv-nim r!l d 31oi11 O<M J51 5I\II A firlol 3d1 lo (ooO)=U 10 tdu bEqmo3 rL3B ioI (OJJ)

:A iii ' bni x 11i iol lli d3u2 D bni3 1D JnsJno3 lix

{IxH-1} D� (x)r + (x)J I

boB iliib rii no boqmi 1LBtmu ii noiiibnoo i1iwoi bnE xiir13qiJ lEdolO

odi ol noiiuIo noii i lo onoupinu bilE noiixo ooinE1Eu 01 8noiJ3nu1 noiu11ib

'n&n iol boi1ifl oci 01 Iii1 noilibno3 !13doI oodT .(1.I) noilEupo Ithlnoiollib MJEd3o1

iol lnoi3ffiu i noilibnoo siidoqiJ 113301 orli i&Li nwonA i II .oiod loio1ni 10 Iobom ( I QQ 1) ovoid boB ssiB1EA .o oo rnoioorfT ô1I) noilu1o oiIi lo oooupinu oiwd1Bq

oo) noiiu1o h$ow i lo o3nolixo orli ooinsu3u (ii)-(i)IA woVl .(V8 ogq moioodT

3111 Io (I niEfnob 3liin3 311i no bikv 3d i2um ) bni 1D in1Jno3 3B 3111 i&fi 31311 flB3ffl IdotD 8 [1I 1bn3aI noiiibnoz IBdo1 illiw i!u31 Lil3 ôiI 1o 13m31Bi ioI .noiu11ib 3dEnJfiW-Bbff1EY iliw 3111 n3v3 .V8 giq m3lo3dT [1QQI] 3v31rf bn afiim) 10 m3lo3dT

imono gni3-i1ni io1 b3iki1E 3d 01 Iif (1 giq ,[11] 3v31r1 bns &ifi1sA noilibno3 (1.1)01 noiiu1o gno11 fib a3n3upinu bnfi niix3 1qmi bluow diofi .13bo1n

rioio1qx3 fiB 01 1dioq qu (IE m3ioIT (1QQ1) 3v5If1 bilE x1i31i){ Iqmi 3n3upinu iwthi3q dliw b3rlidmo3 noiiuLo biw B lo no1ix3 3th ndT .3mii

bnE is1iii)I m5Io3dT 3dI3nBIEW bilE 13b1$mIY oili 01 n11o1o3 B) n31ix3 no1 (1.1) IBiD 1qmi (ii)-(i)IA oio131dT .(OIE-QOE iq noi1ioqoi 1(IQQ!) 3v5IfI

.3mi1 noioLqx3 fiB ol 1dioq qu noi1u1o nofl 3upinu B 1imbB

bilE mi1 b3133qx3 olinil ni noio!qx3 Iuo 31u1 01 (vi)-(iii)IA lo 3Ioi ifT -3miI thiw oiq vo*u3M i i noi1u1o 3rIT .33o1q 3f11 10 '1i1Bnoi1E1 331nE11u

(xJ;s)q 1i&iob 'ii1ididoiq noiiinB11 iir1i r13u .i) iiinob noi1inii1 2uon3omor1 l3rItIul (vi)IA .(131EiBq bnJ3 I no Ion -i no 1no thn3q3b 3m11 Is ' oil 3miI lB X moil

3(11 ,(ooO)=U 3)B2 3iBI 3(13 lo IoFI3Ini 3111 ilk inioq 'ni moil gni11E1 iir1l

3rD oniI3b b33bnI .ofnii b3133qx3 3iiniI ni b3nisflB 3d ionnsz 00+ = bns 0 = i1Bbnuod

Ii 31B1 1oq rf1 d 3mii 3iiniI ni b3niBIlf d 1onn oi .vb(v)31 31U133ffl 31s

3LdET bnl$ Bmm&I (18Q1) io1T bns nihsA 00+=(33)03mi1 .00+ = (5I) miI :li 31(111 3linfl iii b3nisliB 3d ionnB3 \1ini1nI ) noi1nu1 vonuqB'J lo m131 ni b3islurrnol 3d nBo noilibno3 3vilBnl3IIs nA

3ldsiIn3l3llib kuouniino3 3oiwi B iix3 313111 iBID 3muA :((08Q1) iiAnimsH lol I— � x6\(x)&6 (x)o(\1) + x6\(x)&6 (Ox)i i&1i fbua U no r noi1nu1 3viiBonnon

o1A .0<$I [5I,5I\1] D miol 3111 1o lBvl3Ini I3Bqrno3 B 3biiuo (oo+O)=U ni x LIE

13AB3w 3(11 3i1qmi noilibno3 ith 0�& 33ni •°o = (x)ft mi1 = (x)& 0rniI isrli

(nB IDSI ni) mo iol (x)ft3 � x6\(x)c6 (x)o(\I) + x6\(x)6 (8x)14 :1iLBup3ni

vo*tEM B niBido 01 31U 3d 'Ino fiE3 3W 1i1Eup3ni 13)153W 2ifD l3bfIU .0�o Jnsino3 I kill m3lo3dT (08QI) ithnimBH) 3i1i2n3b noiiiansfl Wofl3gomofl-3m11 (11kw noiiu1o

:'(IBnoilB1 3d 01 331 3(11 lol 1n3i3i11U Ion lud '(1E333fl i idT .(L4.HI *ism3M bns lud (nEiuBD) 3i1in3b noilinsii uon3omof1-3rnii sf1 noilom nBinWo1H B 3lqmsx3 iol 1i b33n OW )h0W 01 o1B11 noiIsmi1o iuo ioI .33o1q 1snoi1si B Ion '12uoivdo ai

13gno1I 3(11 (iii)IA ni ooqmi 3101313(11 bns -isnoiiB1 od 01(1.1) 01 noi1u1o 233O1 bns I..III moloorIT 3u) 1— � lsth InofnoliupOl

lo 3Dnolixo ofli oi1qmi noilibno3 if11 iBfLi '11331ib oo io (08Q 1) ibknirnsH ni Q olonlool

wo1IoI norli II .(noil3nu1 noiu11ib bns hub novi iol () 01 ]t noiiu1o 31dB13Ini fiB

ak bris (noil3tniano3 c1 3(10 01 aolB13ini bns) alaixo t '1ianob 1sniism 1Bnoi1sI orD iBfll

.�2 131)10 01 qu (I no oIds!ln5IoIIib 'Iauounu1no3

3(11 bns (ooO) no oviliaoq 'Ii3i11a ak 3t 'lianob '(Il3noiIsIa ouT :A T4OITIMU22A

as boiudniaib ai i 3ldBrIEv mobnBl Isiflni

bni (E.) d noii3nul noiuThb 31i1 sh1in&b 01 31diaoq ii AEm A IA bnU .noiiqx i&Li no bBd ioiimi1 zth13mqnon 3r11 13u1inoD I1n3updu

molt woI1o1 oiq lo 'Oi11noiiE12 .iix3 (.) noiiudFiiib '(unoifl1 31Ebibn3 3± ol b3liupol noiiqrnu 1im won 3W .1Iii noi1udii1ib 'IEnoiiEi2 3± rliiw Ii nii1Eiiini E bni m31o3dT lo 1ooiq 3111 ni b3au 3d ol m5Io3rIT limij Ifflin3D 3r11 113s11 331rnrIEu

.thlorl

1iii1 £ = 1 i} nup £isb b3v1do 3fIT :€A 4OIT1MU?2A .1 <8 b3xil rno lol 0 ( A :gni'1i1J3 33fl3U3 nixirn- 1Jnoi1E12

ir11 luoffliW .fl3Up 3r11 iii bowollE n3bn3q3b lo Inuoms 3f11 13i111 EA

i 33fl3Uf3 3r11 O ( s noI th .lisl ns m3lo3dT iirnij lslin3D 3f11 noi1qmus 01 {i � i

, oiq bov-ido 'I3i513ib 3r11 iol -ithio nI .1s1u3I 'I31uIods 3d 01 bis 3mi1-uounhino3 13no11 13

1n3v ol sff {o � I oiq 3i1sff3o1 r11 EA '1iIs noiu11ib bns Ililb 3d1 no noilibno3 A .((V8QI) 01351 sslsiq ) noiiibno3 nixim

:niwoHo1 3111 i A '1i1s 111w noi1s'rndo 3i313ib 3111 IsfIl 31UfIi 01 1n3ioi11u

:'FA MOITNMU?2A

•0o> {(1'()r—(O-}\(1)oI ml! bits 0=(1)rI)z mu —ioO—i

nsfn)1ni3r13 bits n3nsH 'fA l3bnu bbnI .'EA molt wo11o1 1iiboi3 3fl13m030

3± 1 A io1si3n3 1smi3flni1nx 3r11 Isdi fbu) T 1oJsqo liIa3ini 3111 113111 3volq (QQ I) noi1 3± molt woILo1 II .i3d b3u 3d ns iiiT .noil3fnlno3 f!0112 13 i (T lo 3v1113vn3b

bns 1 31ds1us3m f13i iol ls± i1u ,

I > S > 0 S gI2ix3 313111 1sr11 T lo 't13qo1q noil3sllnoc

3111 nisldo ol 1 = bns Al = I lols3ibni 3rD ol id.I 'IqqA A5 f 11111 � [(A+)( )i] bns 4) X) 31311w) \A5 � � 4) � :sisb 3i313ib 3111101 thnuod nixim

lo r13qo1q nixim 13no1i £ 'Lisb i irIT .(1n3i3i113o3 fl1X1ffI I53iE13 JJ011SV 3rD 3113

lx3n 3rLT .113333ff i EA 1nO .FA 'd b3liup3l I13i11 i lsdw nsrli sisb 3131Dib 3111

:noi1nu1 13ni31 s no b3oqmi noilibno3 'ihs1u31 bisbrts1 3111 i noi1qmus3

:4A I4OITIMU?A

no i l3blo 01 qu 31d1311r1313Thb Iuouniino3 noi1onu1 3V3 ns i (.))1 bmA 311T (i)

.1 = xb(x))I bns(51)J ol noI3d �1� dliw 51

:bns I = 1 0 = xb(x)A txl :i l3bloIo i ()){ (ii)

oo>xbl(x)AIhlxIl Ocxb(x)A1x1

3di noii3tJb31 thd iol i l3blo lo 13in3! £ 13vii3113 u ol l3blo iii fliii oioT4

1i i1i (i) IA ni in3m3liup3l 3di 33n3H .viivh3b nsm lEfli i2s31 iJ$ 3vEfI ium )t 'JifI3b

i 11 .�i� lo A ni ioth 3rIi n3rli bn viiBvh3b 3vJ3f1 2n0!13nU1 noi2uThb bni iliib

3loM .(i)IA ni b3iiup3l 3d n 3viivi13b Ino n3di bou 2i =i 13bio lo 13rn3)I

noiu11ib 3(11 lo ngivno lo 3iiI 1imi1qo 3di iix3 t lo vi1Evh3b nr1w Ili13n ol i r1ibiwbnid riliw (r13v3) =i ibio lo 13n13A i 'd b3v3i&s i II

. i io1smi1

diiw b3niflE 3d 1no ni r bilE t iol nivnoo lo oiii limi1qo 3dT .( +21n)O = (1

ion bluow m5Io3r!T 10 noiiudiiiib 3iloiqms r11 i&11 8niw3m) rnl3i id nirkinjv-non :(ii)-(i)A iiupi 3w 31u1E31 3Ld1ciibnu idi biovE oT .(0 IE bin 3d

:(3oiodD dibiwbrnH 31difrnbA) A MOIT'IMU2A :bnE 0*— rl oo —

r1n bni 0÷— 'r1'n :t3ismi13oT(i)

— ii'n bns 0 — 'r1n :o 31Emii3 oT (ii)

.0 *- d'n :U 33nq 3viiEvrI3b 31Emu13 oT (iii)

ol 131do 3111 noqu gnibn3q3b 3Diod3 flibiwbnEd lo 3nEI 31diifnbE 3r11 3V! A i 3mI 3mood n 0 ol rlibiwbnEd fli lo 3E3133b lo b33q 3fIT .b3iJ3mii3 3d

sf11 (i)A nI .I31fd b3u3aib i 3E1 31diffflbE 3vI133q31 r11 nidhiw tiIJ3mi1qO .b313h1231

'1IE3i1o1qm'E i io1Emi13 '1in3b b3siIEmIon 3111 ni id r11 i&1i 31ufl1 noiiibno iii1 bio lo i rl3irlw 1o1Efnhi3 3111 lo 33flSIfiV 3(11 i&li 5IUn1 noi1ibno bno33 311T .3ldigi[g3n

1WII1 3111 113V1[) .3oq1uq 3fflE 3(11 3V13 noilibno3 Jail 3111 (ii)A flu .Oi3 01 23O f11n

ai iolEfflhla3 noiaullib 3(11 lo noiiudFiiaib iioiqma1 3(11 lEfil 25IU2fI1 noilibno3 bno3a 3(11

3(11 Iii m131 i3bn!5m31 3(11 .3.i) noianl3qx3 ioI'sT au ni ff131 iE3nhl 3du 'd fl3vI b33bni

awollol ii oo f— r1n lo 3fl3UflO3 £ aA .(3ldiiI3n 'I1s3iio1qma1$ oals ai noiafIsqx3 r1n l3blo lo oats ai fI3irIW ioll$m!123 3111 1o fl13i113v 3(11 3io1313r11 bns 00 *- 113111

alism ol 1n313i11u2 ai bns 3Id!giIgon asid 3(11 3J1sm noiiibno3 3(11 (iii)A nI .oi 01 23O .O13 01 O fIoiaflfiqX3 ioET 3di ni m131 i3bflll$fn5I 3(11

(- bni E- 3iuiT) aioiBmuia3 noiaullib bilE '1ian3b 3(11 iol 211u231 1133rnqm3 3rIT

Lno 3W 02 =1 13b10 lo U—)qx3 = (u)A I3fn3A nf$iaatJi3O i riuiw b3flul3ldO 3m

3111 ni) 33io113 dibiwbnEd lsrniiqo 3rIT . lo a3vilsvn3b £=a lo 33113121x3 3d1 3Lfl 0225 01 bo3n

(ii)A io (i)A 13111i3 d b31i33q2 3fl131 3(11 niilliw (32n32 10113 b3lsupa flE3m b3islg3lni

l3blo aifli is rfibiwbnsd 3(11 niaoodD •(Iff 01 3Idiaaoq 213 320k) 213 flu1i3g 231iup31

3rIi i io13111i 3W .1Ii3iioiqm1i rkinEv ion ob fbidw ff133 thd i 33ubolq bluow

03 nork 3nIno3 cr13 diiw (n)oI\3 = r1w n = = d ai dibiwbni$d

noiu11ib dT .ioiimii noiu11ib 3111 lo ions 1iup nim b31sIini 3113 simirnm dibiwbn&1 odi O=n si 31qm liw13 3r11 ioI .1ii3i1qx3 b3iE1u311 od f3 loiEmui23

.-OI EEOÔ.I =

rtliw (4=i 13bIo) (\u—)qx3(E\u — = (u))I I3rrI3A bio 13dir1 311T

bns Jibiouni thiifI3noqx3 113w , 'n = = dibiwbnEd IEmiiqo

3111 03 iudoi bviii1ithup 5iJ i1ui i1T .11ui iiLimi 33ubolq 13rn3)I vo)linfia3fthqH

hrniiqo 3111 bnuom i3mIni3q i1ibiwbnd di ni n1sf13 11fm2 bnE 13m3)1 3111 b 33io113

33ubo1q o1i noiisbi1Iw-o13 lo mio1 uohBv 131110 'd dibiwbnsd 311110 noii33I3 .3uIIv

!ii1 3111 '1Ith1ni2du2 vlibom ion 23ob l3nloA 3111 lo loivBd3d IiEi 3dT .23iEmi123 liilimi2

Joq odi lo ouliw ou1 odi) bolobi2rIo3 lirioini 3111 ni 1oJIlmui2o noi2ullib 3111 lo loiv&Iod

hiis1 boi6mui2o i 'iinob 3111 lo ioiv&1ct li.i odl o oLqrni 3111 ilk io11iooi b31312u13 31f

ol qu \131E1U3Di

boni1do orm (V otuiI bnB 2OIdBT) 233i1q oviiBvhob 0th i61 231u231 1ihiqmo oriT

11133ff b3iE131ni 3111 cil 3310113 thbiwbnj$d I13miiqo 3111 iud jonlo)1 nthu13[) 3111132 3111 111kw

11112 2i 1013131 11111$32 01ff .1013131 ni1J$32 £ 21 3 31011W 'fl 3 = d won 2i 32fl32 10113 011$U2

3r13 lo o3iorI3 32i331q oriT .1o113mu123 odi lo 10113 3IBUp2 niom bo1E1oini 3111 3iminim 01302

Ii) 233fl oviliivnob 10 03fl313Vfl03 10 31131 odl 1ibom Ion 23ob 32133 2i111 cii dibiwbnIld

21$ no1 213 o3noH .(1o113 boiiwp2 11133ff b3iB13ini odi ill miol iobio ior1ir1 2133111$ 1no n&11 rlibiwbn&l 11$milqo odi 01 32013 od 01 inithoqmi o1 '1113iinBi2du2 2i ii boiTki1i 2i (iii)A

riodw o3iodD rlibiwbnsd lilmiiqo 3111 113111 31on '1113niq .t) 10 flOii13fflui2O O2iWIfIioq 101

gnuillmuI2O fIOdw Idiimbs 2k n&l1 (nidioom2 o1) 131J$1 21 o2iwIrnoq t n1i13ml123

ci! .232133 owl 3111 ci 2cn103 2thd 3111 lo 2312 3Vii33q231 3111 01 oub 21 2idT .233i1q oVi1EVflob

moii boiuqmo3 313W 'oi1i Ii boid 3d bluow 233i1q 0v1113v113b lo 3i1$m1120 3111 lELIJ3itil$q

3W .((i)A) 3310113 rlibiwbn13d o2iwin!oq 23i 113 boiuqmo3 lo 3113m1123 oth cii niu1q :ni 3310113 dlbiwbnl3d 113u131$ odl 3SU3ffffflU2

:(o3iodD rlibiwbn13H lBu1oA) tA MO1TIMUA

= 111kw n = = r! :t bni t 31131111123 oT (1)

= rl :U o3riq ovthlvnob 0113m1323 oT (ii)

b3iE-1oJni 3i1oiqm\2i3 orIi osiminim 01132 21 3 1013131 ciu1s32 orIl 232E3 cliod ci! (iii)

.101131111123 3113 lo 10110 boisup2 11130ff

frI3lo3ffT d fl3V1 noiiudniib 3i1oJqrn 3d1 i&Ii 2wofL 33nobiv3 ohfD-3tnoM

3mf3 3111 n3vi 1oi1$miJ noiuT1ib d1 lo noiiudiiiib If3ui3i 11i iol noiiEmixolqqE boo i nodw 8.O 3vodi 1in3iino3 xi i1i1iddoiq dT .J £ib 3111 a 3Iqmf3

1J iol rIoi13nu1 woq uoiiiv 5IID) noi3i3fliD3q uoimv rhiw £isb gnu11!umi .io1mu1 noiiit1ib r1i nu1uqmo3 bni ('i = (i) o :noiuThb

floi1j9msI1q i19n9D £ fhiw noiwi1hn9bI : xibn9qqA fihU 9th to

1&Ii 3111 flOii3i1i51 f1OiiJ311i1fI3bi 3rlT .iIiib 311110 noii1rI13m1mq d (0 ')'i i&I

xibn3qqA idT (0 i)i i ffiib 3u13 3113 i&fi fbu 0 ioiv 13J3mJmq 3upinu i atix 31f1i

•

ub(ti)t(0u)J4 (i)r i&I .iini1 1FI13o3n ion i 14 n3rlw (1.) '1ibom 01 won wonf

:i1qmi 1 = (Oi)ft noilibno3 h3ilini rhiw (ii)ftA = i\(ii)ft6 noi11up3 3113 nonlT

i6\ft% (i)v(i)r(\1) + x6\ft6 ()(0i)ii = {6\ft%}(i)r + {i6\ft6}{i6\ji6} =

nijii i1umio1 'nb1n'U 'H .[i6\&6 (i)ii]{i6\6} = i6\ft6 (i)v v1o ft 31o131n1T

•

[' = 6' = (ii)ft d n3vig noiiu1o 3upinu ii atn1 noiiup3 llthn3i3IIib liiiiiq idi iiI iini1non sd 11n3iino3 b33imii 3d flf 0 n3dT .ft b13i noiiEup3 in1i niv1o

•(.k) lo noi1i1i3n3 ir1i illiw irnip

noiirwp3 nbh1 th io1 noiIibnoD 'thfdu9$I :F xibn9qqA

33fl 3vifl3vn3b 3h13mEqnon nii3do 01 b33uboI1ni noiiqmua niwo11o1 3ffT

nioilonul noiuThb 3111 31Emi1a ol b3b33n ion 3f1T .noiiudh1ib Diio3qin' li3nll bnE

.1I3ii

lin1u3n-ArI odi lo no!i3nIJ1 iin3b bn noiuThb iIhb 3nIT A MOITIMU?2A

-IA ni noiiibno3 3111 '1ifl ,Wb(I)o+ib{(1)(1)_(0i)14} = ib oiq iin ioq

11o'q Ii3ni1 bnJ3 31Ji in3mq 2uounulno3 3vilEvn3b dT .VA MOI'NMU2A :[TO)x(ooO) ni (1i) iol 'I2i1 bnE 2noilonul 1imu1-l131-2tiounuino3-idi

.0d'Lv orno iol (1v)qx3 M � I(')I bni (iv)qxo 'i �

IEiin3noqxo ,di i1iii (11)U 33hq 3viiEvil3b dT :8A VIOITIMUA

.0d mo iol 00> lb ib l(ii)u :noilibno 2nb3bnuod

3liT .8A ni12i1 2noi1nu1 b 2i13 3111 ni oupinu '1no i (Ii) ol noiiulo2 1T 'd b11q31 i 8A ii 1E13n ni 3upinu 3d ol 21ii1 noilulo2 3111 q11rf2 i bnuod

.((VQI) nEmb3hI 0<3 mo ioI 00> lb ibI(1i)UI ll

l3I3mlnBq i no bnqob 'kii 311r1 1131ni lo hq 13*mm 3rIT :QA MOINMUA J bxi1 i nw13d 2noilthv3b b3113up2 lo mu d1 niiminim 'ccI b3iJmi1 i bni

.233nq 3-lJ3rnE-thqnon nibnoqno3 di bnf3 233i1q 3villwil3b

1ta Itmu iit,q gni9i1 9dt nivIo :I xibn3qqA

b3v1o2 3d Iliw n3rIi bnE (A) diiw (1A) noiiBup3 IsiIn3l3IIib thi1iiq dT 3111 iol 3m3rb li3ilqmi n lo noilEnidmoD i dliw ni3n3111ib-31ini1 fli2u 11E3h3mun i noi1u1o 1&il3mun 3111 ni i6\U% ff131 noi2ullib 1i bnl3 i6\U6 ff131 3vil33vbJ

31d13n13v lo 3n&13 3111 3Aim 3W 13 l3qmo3 £ no 1no 313VflO3 01 b3olnmni3ug

2iv31 3111 123101ni in31q31-13vo 01 f1uon3 1EI 2i lnEl2no3 r1i idw (i + 1)\i 3 2

13J .3ub3Do1q Icl3h3mun di lo 'iiuo di iini 2irlT bn 0 n33w13d (th\2b)(26\V6) = i6\U6 (16\V6) = i6\U6 :(1A) ni 33B1q31 ni w o (1i)U (1)V

(I .4) 01 ru3q131nuo3 b3i1o132ib 311T (1b\2b) (M\V6) + (1b\2b) ( a6\v%) i6\1J% bni

:2i

(v+ v— 'v)÷(1v+ v— 1v) + it,

I-rn m (I-rn F-rn \( m m I m

V + V / I_c' — _V — 11V 0=1 J.2)1I3+ 2)1— " I / I

15I31ni 1oq briE 3mii d1 lo u1iv bi1313ib rii iii bnui 1 bnE ,

( 1i, )v v i3fIw

lo gnirb b3ilovni 111 i () .M...J=m bnE I-L...=1 31duii1Iv b3m1o1nE11 31B1

1fi1n31311ib 3111 bni (1A) moil b3nisldo 3d LiE3 n p bns q 1n3kiTho3 311T .31dthiiv

noinwp3 3111 2LJfll bru o i noil3nul noiu11ib 3111 0 01 nibrIoq3no .1 = io1 .3vods ((L-rn

— — — i= &i .0 = (m10)b +1 I 1 + ' :mod ) 1L v bns v

, v moil 11i3iIqx3 b3nil$ldo

1ii1qx3 '11u1 i riliw 'l1E3 3lom b3v1o 3d bluo3 noilEiJp3 3(11 1uoivdO 01 nworDl i 2noilEup3 3iIodElEq 10 13r1313111b-3linfl JioilqX3 I3v3woH .floiJE1n331q5i

noiJup 3111 lo noi1u1o 31n1 11 01 3I3Vfl03 '1h13D3n Ion ob IEIII 3JEfflu13 b13i bodl3in 3111 b3iqobll 3v13r1 3W .(i1JnE 1i1idsi nnhlmu3Vl nov ii iol (VVQI) a3mA

l3blo bno33 3r11 lo noi1Ei13iDib li3ilqmi lIE lo nu1inoo (VVQ I) 3rnA 'd b3bn3mmo33i

i bor11m ir1T .3vi11vi13b 13bio iii1 3± lo noi1Eii313ib li3iLqx3 ni bni 3viiEvn3b bituq

i Of-IA bns 0—xA E noiIuio 3(1101 33fl313Vfl0D .3ffl3r13 fl0103iVI-)I1IE1D 3111 ai nwonA

ni lo noiIu1o 3(11 E {i. .

.i = i 'u} (I .V) . = 1\ u} ri3vi ioI .b331nhl11u

odi moil '1i3oüb bovriob i {i. .

.j = i u} 1 lEnfl oriT .moI ii1uniii1 oIdI3vloa 'I!?i$3

odI norlT .nii1q noilqo bnod i61 (1A) 131J11 bru3 nbiiq bnod iol (f.4) noilibno3 lEflil

iol {i . . . = \ u} 1o odI 1oviao33u oviiob 01 b113wAoEd '1oviwIu331 bou i noilBupo

.I=m 01 qu 31o -M J-M=m

nu1sqmo3 bnE lobom MID oril l3brnJ noi1qo bnod bru 2bnod grnonq 1liiuios noiiW

'(IOV od 01 bnuol w ouboooq idI E1um1o1 mio1-boo1o 3(11 01 noiIu1o IJ3orI3mun 3111

3111 ni2E313ob 11311W b3lnEw at doum au Anhl12 01 1OTIO noiIumixolqqu 3111 bnu oiuiu33u

.3Si qoi

'tooiq : xibn9qqA

-lIA lo I1uoi ullob IErioilonul odI 23U Iooiq orIT : M35IOHT io ioowi Iniol odi lo hinoilonul E E bowoiv i () noi1nu1 noiif11ib odT .(QQ1) i1r1

.(÷j11) 11Equ ub 1=A b31qmE no!1Ev132do lo I noilonul noi1udii1ib oviIuIufnIJ3

:() mrnT 3 moil uws noiu11ib 3111 lo noi2nEqx3 iobio-iwifl u oluqmoD

ub (u)[H + ([H + flOu)i4 I (x)[H+ = (x)[H +

8

i i (.)O .o.i boq2 3ntom1mq 3di i b3iEmii 5u 13i3mIiq hub dT hirIi d3u 'D InoiiDnu1 iini1 £ i2ix3 ith i i&IT .Linoiionu1

gE!b& 10 !i i 1 .((IIIHlI)o + vb ub(v u)rf(v u)(1)eloi + [1]e = [H + I]e

.ii viiiwiib 21i boB H to1 mion mumiqu oili lo mu rLi i (hoo)J rn-ton r1T .noii3nu1 ob ni-u!q IniA i lo biini noiiudriiib 1iiiiqrn r1i 113 biEuli$v i (.)8 i&Ii i1 r1T

.noiiudi-iiib 3iio1qm'a13 orli 3nBf13 ion

iin3b lsnigll3rn 3r11 iol noiniqx i1T .x 1J3 b3tin& rn 3fmU 13 3bon3b ()? iJ :rn131 gnuJ33IloD .((,IHII)o + vbub(vu)d(u)(x)ll + (x)[]t = (x)[H + TJJt :i ( H )o + vbub(v

u)d{((x)N]H + (v + (x)[] = (x)[H +

noiiudiiiib Di1oiqrn' r1i n3uflni ion aob rkidw D iii LEnoi1nu1 i i ()(T)H rhiw 31d13iini&I1ib-(1oo)J i (x)[.]o i&1i woI1o1 ii .b3iliin3bi od ion bn 51o1313d3 brll3

(.) IJ$noii3nul 3111 113111 rbu (..)(1)q noiiudhiib £ iix3 3131(1 i tir1T .T oh 133q231

H 11)0 + vbub(vJJ)d(vu)[1}l°i + (x)[1Jo = (x)[H +

D / D (x)8 +(vu)()6 = (vu)[1]q i (.)t isnozi3nul 3111 lo 3v111$vrt3b L (x)[9] j

1iiib wo11o1 noi1udiiiib iioiqrn' hI .noiinilI £113b 313-tiU lo 33f$ 3fli i D 3miw .bodi3rn £113b IJsnoii3nul 3f11 rnoil

O<3 b3xfl iol (3\.1 3)=3A i l3sqrno3 di 13binoD :1 AMM3J io ioosiq i II .(16\U%)3 + Ui U 3J 5Idw O = 1 3J noii&1p3 di lobi2noD .3)1 ru x xii boB

i J auth O=(O) iud O<i 1113 lol 0 < (i)t uBc1 '1idi1 J 3lEdmiioq oh \(t13333n i 3J ôA l3bnU .[TO)x(ooO) niBmob 3liifl3 di lo b1331ni [T0)x(oo0) no zilodEu$q

lo r1ioqd di '1i1B noiionu1 in3i3iTbo3 ii boB [TO)x3A no 3ilodin13q '1rnio1inu

31 noiiu1o lBin3rnEbnul 31(1 i3u1ino3 31o1313r11 ni 3W .I.I noib (Q 1) nsrnb3h1 bluo3 31 13viiBrn3h1A .bodi3rn xhi3rnirlBq 3rD niu d 3J 1011313q0 3111 oh r1ibnoq3no3

flu 13 [T0)x3A no 3J 1(11w b3iaboB noi13nu1 03510 3111 lo hirnil di ati b3niBido 3d

.(81) nu1bi3-t1 o2113 ;1.121 &nrn&I VQ1) nEfnb3r11

[T ,

0) x 3)1 nI (L1) iol noibu1o xnbornl$mq 1(1 rniol

b33ubollni 3V1311 3w 31311w 2bb(x;2)3cI(;2 —

+(x;J1) = (x;bi)31

(x;)q(3i) (x;)3cI bn13 {(x)r i \(x —

1)—}qx3 ((x)\\1) (x;i i)X

bn J = 1(J) :'d '1ovi1u31 b3nilth i q(• 3i) 1oiIqo 1Eiin5rThb uIT

njmbiiq ni 8.! m31o31IT H . — = (x;)1÷q(3J)

.bonflb-1L3w i noi1u1o xi1lornIq r1i bni 1VflO3 3I ni ii 3linumni oiii (IQI)

no (1 .4k) lo noifljIo 11n3mibnu1 i i noiiqx xi1lm1uq 3fb lEfIl mb i Ii xoT4

:1iiW .[TO)x3A

— I i) "l'1,.}3 + (x;1i)3J = (x;l i)3I3J

2bb(x;)3cI( —

i i)Jl1 +(x;1i)3ct —

(x;ii)3J =

:noiIEUp3 Ltini ETI1LoV fLI 'liIE i2um 3I noiItfIo 1EinmEbnu1 £ d ol 31 iol ur!T ETIOIIoV 3th noil3ull2noz 'H

. bb(x; )34( —i i)J "1'1

+ (x;i i)J = (x;i i)b .(x:ii)q(3J) 'd b3fli1i i noiiEup

O13 01 3 1&1l niEldo w (VQI) nJmb3i1I ni .f 21 rn5IodT ni nfIT -x viiEvi1b-1 owl Iwiil oiil fIliw idioi ,(x;1i)1 lirnil 01 W13vno3 (x;1i)1

.[T0) ni j briE (oo0) ni x bni 1 lIE iol Im3o1inu 3vi1Evi1b-1 lii1 ifi bni viif$vi13b ni .l21 '1EI1o1oD ni a [T0)x(oo0) no (1A) i1iIi (x;Ii)1 lirnul I1 o1om111l1uL

((x)J(x)txi1)s' = (x;i1)T miol rIi ati1 aoiiuIo IEin3ml3bnuI dT .(VQ1) nJmb3i11

xlT .(crnol xhJ3mfuq 3r11 in3mu1E au lo ff31 ni ldEilno1311ib luounitnoz '(' riliw iIodf31iq di 1&I1 i (VQ1) nEmbi1I ni 1 131q&ID ni auIui fi riiiw il 3n311ib Ino

3fI1 lIEni1 .lE3iinbi iw1d1o i loolq 3riT .(TJi-) mi1 rIi niE1no3 J loIEl3qo

.(8A noiiqmu2E) noi1u1o 3vioIqx3-non lo El3 f!1 ni upinu i noi1ulo IsJnmEbnu1

owl 'nA .[T0)x3A no upinu 31 0<3 fI3E iOl (4Q1) nEmbi3I ni f.I m1ofIT H .[T0)x3A no 3bi3nio3 01 3vEri bluow [T0)x(oo0) no noi1u1o2

lo nq IhJ3m if I 5IfIw rI1 ibino Iaiil W :E MH5IO3HT io Toosii IEiIn5l&llib di lo ln3i3flho3 di nrIT .0_A 'Ii1iin lo A3EI luodliw 10 nwornf i )1r1

lolBl3qo 1Ei1n33Thb d1 o (÷izi) ElEb di lo I 1b3 iniol 3d1 10 Isnoii3nu1 J 1o1E1qo

bnE 1 01 b1EioE 33fl viiEvn3b fIi 'd b3woIlol noi1Eup3 3r11 13b!no3 n31IT .

[1]J i bnE (1)[q] = (Oi)[I]U noiiibno3 lEilini ifliw (1i)b— = (I,i)[T]U [IIJ :13vil33qi H+1 3flT .(i)[H + = (Oi)[H + 11U :noilibno3 IJ3iIiIli fIliw (Ii)b— = (Ii)[H + 1}U [H + flJ

'kuoiviq 3vilEvi1b £ 10 iiq 3111 3d bluo3 ii 3uE)3d T no bn3q3b (.) 11oq Isnil .noilqo bnod £ niu1sv n3dw bnod nPI13br1u 11I lo i1q 3rD 3Iqmsx3 101 :b3iuqmoD

OF-:

miol 3r1J flu 'TI nohu1o !fin3m1bnu1 31i 3sii313mrf 3 1 £mm3J .1nmuii 21i lo d3i ni 31dEi1ni1TIib 'kuouniino3 'ç rliiw ((x)J (x)rx1i)'ç = (x;ii)1

noiu11ib bnB ilnb rfi lo noinqx (H ni mni1) 3d3 bni noiiiicnnsrb ith moiI d1 iimbE NIU

— [H + flU [H1]UA i&fi wo11o1 ii miodT ni thnoii3nu1

:(H iol rrnon mumiqu bIJ3bnJ di i (Ooo)J) noinsqx

— xb(x)[H + I](x;Oi)[H + T]'T1 (Li)[HT]UL

bxb(x)b(x;i){[I}'T —

[H + +

((O)II HI )o + =

ai (.) IIoq lEnul rIi noiiici3bino3 i3bnu vivi13b orli iol iirIi oqqu .((A-iO)x&n=g :nohqo iii ii3ini ni io .1 = iioidw iol bnod i I lo rnbnqbni

31dJiini311ib-(1oo)J i [TO)x(ooO) flu (ii) b3xil idI (ii)[I]U f—i I 1&Ioii3ntJl 3d) n3rIT

i (.)u 3viJfvii3b L&Ioii3nul iI .3vii1vh3b !snoiiznul uounuino3 i rliiw 'I ol 133q5I iiiiw (.)o bnE (•)i lo noiiEnE3nuL f1i moil mi3) nu)3311o3 moil cj (Th3 s uounu1no3

((x)i(x)rx1-x)i lo aviivi13b Ithtisq 3d) bni ( m5IodT flu b3iuqmo3 313W Ll3irIw)

fLJJo1ffi Iliiqi ,I no thn3q3b g I1o'q viisvii3b 3di won II .i bn oi J33q231 rhiw (.)g lo noinsqx 3111 ndi viiivi13b 3vilimriq 3lom i lo iiq b3iuqmo3 'kuoiv3iq 3rD

mumixim 3111 i (I) 31311w noilqo 11& bnod 1$ i noiiEu1i irf I Tb 3IqmEx3 nA .213flf$fn o2113

H .iiq 1iiJ r1i lo in (I no In3bn3q3b) bnod gni'h3bnu 3rD 1 33iiq rfJ bnl3 oi lo '-D ru 3viIiviiob diuw i ni noi2nl3qx3 i3b1o-ii1 i 1imbi 33i1q bnod 3111 3b3oiq 1611w

oth3 3viIf3vii3b 3111 iol 11osq Iirnil cr11 VA l3bnU .(I lo ln3bn3q3bni 2k 11oq 23k 33ni2)

rbirlw ami,1 h3noitibb13 2&1 nodi (.)u 3viivi13b IEnoil3nuI r1T .ln3m5liup3l 2ifD 23i12iJ1

no 3On3bn3q3b !13noiiibbl3 21111 133115!

r1i vlibom ion ob A2i1 lo nq h13m r1i lo noii3ubolini rI1 i&11 worl2 Ix3n 3W b3113rnk1 2k A 113111 b3bivolq thlorl 2idT .(33n13h13v 3i)oiqm'26 3111 1no) 33fl313VflO3 lo 33131

A lo 1o36mu123 3111 (1311w ll3luDuIlJsq ni lo 1idi 213 12131 213 12631 36 2u lErD b33q2 13 313

lo 33u1q 11thm 3113 n3rlw 16iq2 1311iIul i blorl 11kw 2urIT .n-iooi b33q2 113 23i3VflO3

• (L... I =i

, { U }) 23vii6vii3b lo no11332-22o13 s 233fl 3111 nirf31Em d b3i6mi123 i )12n

b316up2 3113 niiminim 'd 1 A l3bnu bo3bnI

rIi ,D/FD ni iw viiviib ii lo i&Ii niuth bq iwo1 s i b3flumii iw ivworI 11 ' •ri-ooi bq2 IE givno ino1 on bluow [.,.]U nrIi (Em iiU lo viiEvi1b iii1 fo

(i i) U) 1bom iii d b3i3ib5lq or!i bn ({ 1U }) 3oi1q viiEvi1b di no3wJd nohiv3b .(A ii biButhv

achq vi1vi13b lo io bxfl £ niil3Jfm ii w i1i mu w QA bnu 1iiii ioM I1iM .°1bthJim gnid hq lo JiIicIiimv 3d1 iol JnuoDI oi 3v&1 ion ob 51o11di bni

fIi lo noiiEi1i3B1&13 f1i iomif1ti&T .A-J4 d b3B1q1 i uI AU noiiu1o th JEdi

1dEiin111ib 1uouniJnoy filiw ((x)J (x)rxie1)'( = (x;it)'1 ii1 noiiuto liin3rrmbnu1

i (.)A bni A ni 3IdBiJn3111ib 'kuounuiflo3 i (1i i)U io151dT .inmum ii lo d31 Iii

If3noibnul iii1qmi oiIi 'd 'O iii 3viiIvi13b diiw I lo thnoibnul B 1dthirii11ib-( I oo)J :noiiibno bio iii1 iii lo noiiuIo ii3ilqmi cII 2E A wiv :miorIi

ii tvno3 A uiluituq idi onoupno A .0 = {1u

— (t 1)AU}{A6\( .i i)U6}

ib1o-i21i1 orli ni 2mioi u33ni1 odi Ith 130!LoD .n-iooi I ogiovno3 o1E U briE n-iooi booq oJoIqmo3 A .U lo (obooiq 1&Iw 'd 'D ni) ovilEvilOb orli od (j1)U iol briE U lo noinqxo

)iioiqmE odi oni boboon ion i lud 1ii3iLqxo boiuqmo3 od n (j)U iol noiao1qxo .qBniood orli d boniBido oct ILiw o3nq orli 10 O)riEi1EV

sb isIuinsq s no iuiuiia nii rIi as rkwa aoiiq viisviib lo ia mobnsi s nidism IW w II 01

.brIoism gnid aiiq rIi lo Th3 iniol Ii O no oats lud ! no Ino ion bnqb bluow a3oilq avitsviib nrIi tsmioI A .i i a3iiiluism bxi1 rIi is ai1q bnod inuo3aib 10 Th inio di d bluow 0 3tqrnsx3 ioI

.iqsq aidi lo qooa 3di bnod ao as isdi ni looiq

aasiaia Ion-i){ DhimEmqnoM iol boiLiM qiniiooH bnl$ I113U 3dT" :(Q1) .Y AIJAHA-TIA

.iiuni1 omiM TIM "linoh3nuI "i5I 1iinI ioq2 rf1 lo 1boM rniT-uouniinoD ni1T" :(QQI) - V1 fli (Ii rI!rnoDf1i1oi zirnbJ33A \iü \iM :(VVQI) .1.W MA

.A10Y-w3VI 1q .w .I.% .. ",2301q noiu11iU io1 noi1B3i1iinbI 3in3mBiJ3qnoT4" : (8VQ 1) .0 J4014AH

.?.E-08E I oihcO \oio o \wuo\. io\ iX \i% :(08Q1) OA51-AA)IA5N ..J.H UMA .V.I AWAAH

•1q 3fffl3bJ3A :*ioY wM sci oZ iioqioD bnJ3 noiJqO lo niiiI edT" :(VQI) 1JOHD .M UPIA I )IDAJH

C cuo k\o \tco\. "i1ilidthJ 3dJ ol i1oiqqA 3miT-uouniinoD A ,(QVQI) T5IAWHD 2.3 UMA .LM MAVWI35IH

.1-F2E1 .IoV tx \co\. bnoH lo fli3fl41 xoD Ii lo noiiiiLqmI li3hiqm3 3dT" :(8?I) DIVHYU .H.T UMA . j'iwosia

I 4 tVk o \io\. "oi5I iiinI lo 31ui3mi rrnT dJ lo 'iorIT o51 j1o2gnI .0-vi linoiiibnoD dliw noi1imui3 ni nii113 iioiqm'A" :(V8I) .0 J4IAJSIHHMAHD

e4 1to\o \cno\.. noii3hi5I n3moM nA" :(QQ1) 51JUMA .H.A UMA HAT0MOJ .A)1 JYJO5IAA .A.0 f.D.A MAHD

wc\. "fl5I i13inI miT-tioii Ii lo IthoM vi1snii1A lo noiiiqmoD h3i1iqm3 .V1-QOI E V1 iiinI lo 1ui3tr1i frn3T lEnimoM 3di lo vIo3rfT A" :(QI) .M.0 3UIMITMATMOD t \k \o "iB5I o \cc\. "2bnoH o1-11uB1oU no nobqO lo ni*iT edT" :(8QI) .0 4OUATMUOD

.001 -V I V1 i\I vi "noiu11iU lo 'ii3iJI3 1ru1noD :1 nj3j1q noiiqO no ioW :(VQI) .11. XOD dmiq oomiM 'OivinU bo1nii

33fi51 IdEi11V lo i1inA nA' :(08Q1) 2O5I .A2 U4A JJO5130VII .3.1.. .D.I ,XOD E \wno\.. ",iiJnoD nEoJ muiidiIiup3 liin0 thioqmtiinI nA" :(i8Q1)

",3j1q iA lo 1boM lo 1ui3u1i mi3T dJ lo 1o3dT A" :(R81)

.V01-8E 1ct "i51 iiinI \'ko \io\.. ",1i5I ii1nI 10 51ui3tr1i lm3T c1i nO" :(8V1) .U.J J4AHTOU , b1o1nEi "ii51 1oionI lo 1boM 10i3EI bIiY A" :(EQQI) VIA){ .51 UI'IA .U 3PHUU

.o3miM iii3vinU vo*uiM lo noi113mi13 2in3moM b3if1umi" :(F1) MOT3J0R .)1 UMA .U ,JFHUU

,1 imoio "3j1q iA lo I3boM ,4 ",m3IdoIq noiu11iU isIijni owT" :(RQI) .W 5IJJJ31

.8I-VI 113iU moil Jn&3i11oD noiui1iU di niimii23 nO" :(EQQI) .U LJO51IM-fr1J51OJ1

.108-0QV 0€ jiIicJ6drnq b3ilqqA 10 Iiniuo1 ",noiiiridO oThi1 \iü ik oi1 n'k :(8QI) .M J4IJUI3SH •1q 'iiivinU not3nn :.U4 noi3fInq ,01 i,dmuM 3ibui iiEmrIi1M lo IinnA boow1n3 oik oX iX \ik :(1QI) .A MAMU3I5H

.1IH-in5Iq :.1J'l JliID

j JoY tu \iü ioZ :(VQ1) - •1q 3imbE3A :iioY w*I .IoV ,cqA t i'1 :(ÔVQI) - •q zifnb13A :AioY w*1

bni ILowtnI xoD di lo iT A!! :(EQQI) YMAWAMA5I .)I UVIA .5LM MOflIO \tI\o "oiuioui1 mi3T di lo 1boM oM 'ninI 13511bn1" :(QI) TJUAMJ5I .3 UMA T$1O1MOM .A .D XUO5I3IMUOO .8II-8 8 .!oV ioo1 I'o \io\. 1nmoM 10 bodiM bi1Jnon3O lo iflqoi 31qmi i&It' :(8Q1) q•j T43T4AH

.O1-c?O! ioo '2ioiimi13 gnuJ131nD :5Iuluq i oi AosH" :(QQ1) MAM)IMI3HD .Ai UMA •q•j J'IJVIAH

ni nimorhio1 "oi1 vo*iEM 3miT 2uounulnoD iol noiiii!qmI 1nrnoM

TIM iiT :AM bi1dmED fnoiiibd bnoo3 \otti :(QQ1) .D.A YJV51AH

nii nr1q1A \iü \o i& :(08Q1) ..51 JI)VIIMAH .1ilduq iIodbiooVI bnB 11o±Li :bnthrIiM 3dT n1i51 n3b

viiEvit3U-3iEM-5IinI nihT :(OQQI) 3TIHW .A UMA .1. JJUH \sI 3cn31311iU 3Jini1 ii3iIqx3 di niU iiii1J3 viJsviioU gniul&J" :(OQQI)

.OOI-V8 j ' \k \io\.. VV 'borliM j \wnio\. "1umio1 noilqO bnoH ioExH nA' :(Q8I) .1 ,MAIUIHMA

:(IQI) JV351H .32 UMA .1 ATA5IA)I .FiV-iniiq :*ioY w*I noiiib3 bno3 iko% ü cZ I :(18Q1) SIOJYAT .M.H UMA 2 MIJ5IA){ •1q 3ffflb3A :*roY wM 1Enoii1 1Bn3D io1 qiniJooH di bn 1in±131. edT" :(Q8QI) 5I.H HDT4U)1

.1 4I-VII "noiflvidO iu1q qziioo bni 1inA3f1 aA3oIH nivoM" :(QQ1) HDMI .A UMA .Y.51 UIJ \o %1o\c b3 ,.Y bii11ia bnE .51 q3j ni ' 3n3bnqU 1iW

.IiW :*roY w3M iooX dliw 01q oil bi1inD lo noii&niiE1 booiliIAiJ mumixiM" :(88Q1) .W.A OJ

iiU b1qm 13i13iU i5I i31JnI iol 3233o1q 3ii6fboi" :(F81) UJ3YIT43O51 .51.3 UMA .A.T H5IAM , 8E V%\o Sxco\. ",3j1q bnoa muhdiliupd bni .11wA3E18 :AM ,bhdmiD :(OQQI) .D.5l MOT5IJM

nA :iAiiM di no nmi5I bi33qx3 3rIi niiimiiH nO" :(08Q1) 1-EE 8 \%\o wo\. "1I0!i!123VfII vIoiBloIqxJ \\ " nihq noiiqO linoiii51 lo iodT" :(VQI)

.E8l-141 ,4 ¶ "2noiismixoiqqA noiu11iU at 1boM HDSIA" :(OQI) .H.Q ,4OJB4 .8E-V ,\I

:1ioY wi4 noiiib3 biidT :(Q1) .fl JAUVIJ){Ø .hV-inFiq

ni iinU IirnoiiibnoD di niiio1qx3" :(tQ1) MU 2-.T UMA .U.H ,4O51A3q ",I3boM o51 bnE ,lloinI ,xoD di ol noiis3iLqqA nA :31ui3u11 m-iT rh ni1irnii3 ic1 "ioo51 linU i diiw noi31M ii 3miT" :(V8QI) .a.aq qijjjHq

.O1E-VV IEDinfbT ",E1dg1A— lo woH iol nixiM nO" :(V8QI) 2.J.H OA51-AA)IA51q

.ivBU Eirno1iIBD lo iiivinU .oM rioq51

w(V \o \io\. "h emiT io1 1oiEmii3 oithminsqnoW :(E8f) .M.I j4OT4I8O5I .VO-81

lo iii noiiBfnii3 1ni3i113 1113!o1qmvA' :(V8QI) - .I8-V8 i1?t ff11OI nwon!nU lo i3iib3koiH -vi5I1oiuA ni iooM JinU io1 niiT" :(.P8Qf) Y3ADIU .A.U UMA UIA

I V "13b1O nwonAnU lo IboM invA nivoM yX cioVY ciü :(QI) .W.Q TTOD .IiW :)hoY w*I

thü wü :(8QI) .W.H VIAM5IJVJI .L1sH-nimq&LD :nobnoj

\cw\. "iu13tni rrnT rLi lo noiJEsi-iiinf3rID muiidi!iup3 nA" :(VVQI) .0 ,AJDRAV .881-VVI , \iVk ",oiq vwhEM unoiiEi lo iID £ lo noi1ziriJnoD rIT" :(IQI) .3 ,0140W

lo nib3oIq .IVX .LoV biIqqA ni Bkoqm

0 QL oco-IuoII-Io (I ago)

cox(T)0 Q L 140 D0P1U (J8)

a o jci.rou(j)X + L + ). L5 a + ) L A (io)XL_(J_2) + bL Q AC p-ffouI,cJq (jg3)

— r'u(L)) a L Ac uuu-cp1Mn.1 (j) [ouG-1coL]

x-L) J\a+iL A DflUJC-}C11 (T)

Ix-L) Q A CPIJ G J• (J5)b(x-L) QL Ac on!.qou(Jg3)

x-L) a i(j

BL0MUDAPA! U ô8Q)

(ip)(a-L) a AC A!C(J)

IT(L)

Lfl1JCI!OU

DLHJ

Q(L)

LflIJCIJOU

DIW1!OU iL!011L IGLGLGUCG

qL(L)q +bLOCCLUJPIG j: VIr6LWJP.G bGcWcJl1ou o IJJG 2bo IHtLC Ic

ititRt 9ritqm9U : 1dRT

igliobo-wa U- £3119f11A to Anafl

(AA-bifl JniogbiNl s$I Jkog9U)

riuo

1iaU vn3up91'I @QI\\-VQI\!O\ôO boil9q 9Igmf

anoiii'rido 9x1 9IgmI1

1i1uiBM-oi-b!3iY b3bnuoqrnoD-uounuinoD (in bsiIsunn)

9qT

10 9fl91911iU III tB$I I919)fII ioq

91R$I 9I3inI toq

OOOOO.O- E8O.O nwM EàO.tOO.O IO.O noitBi,9U b1t1bnRI

EIO.O ?8EQO ig IdffioM Q8OO.O- 8V8.O g 8IO.O- OO€8.O g 4OO.O 41O8.O g 88OO.O E8VV.O g EVIO.O 1VV.O ag OOO.O IôV.O g

IiEU b9ffi9muA 19IIu'1-9)biU

O1si3[35I (Vu- = uhv IJ3iih3)

:0H -uinoiIiJnoM

b3luqmo3 i iiiiIi2 1i 1Iu-3AiU binmui ifT (i) :9toI"I .1 OE=q fijiw u+ u+J4= ,iL :Ithomoilini ()J3\4=

rIoiiD (EQQI) vmH 0113 I13JJbi5I odi nodw oLdBi 1o1LuI-oAoiU orli niw iol noiiB3i1iiu1 oriT (ii)

bim (481) o*iU bim biE d bobivolq i inobnoqob '11itho '1dioq briE 3iiJ3b03o1010rI

.(V8Q I) qiIEid

3301q t$I ioq 3dt iol smiI 19i9m11R :F 3IdtT

JD'I q3tbn ht9ma1s1qnoP1

sf1) lo gniLqmi \1iJ3b ml -ii 3IdBi di ni bonoq3l 1$mi1 3rfT (i) :9JoV1

.wu' ni b31um 3mii diiw oIi Eb-3no b3silIwnni

3iii)B1-1 dT .ood1n3-IIq Iii 1t 3i12i)1-1 udo1-'iii1b3Aoio13H (ii)

sf11 q1 iii1 3d) ni ni niiijv 3iio1qmf 3d) lo ioJimui '3)idW 3111 3LJ JO io1

.nwothiu i '1bi1b3Ao13i311 r1i lo 3iu1sn

3ff) ou JDI .E noi133 iii b3di13ob 313w imi1 JO1 q- 3dT (iii)

.i)iiii-i 3ff) 1uqmo bni 1r1i3w 3111 frnol ol nohnu1 noi2uilib 3ni3mfrlBqnon q31-121il

kiH 1i$I riffiI lo 93j1q *uI'lI :I 9Id1T

A93iV SlID i1J3mwIaqno

b31Eup 311) niiminim d b3flmui3 w kii lo 33fl i3AI1m 3dT (i) :9Io . 31ug!I ni odi bni b13i bnod 13bom 3vii33q5I 3ff) n33w13d noi)6iv3b .2323d1n5u$q ni i 3iBmui23 3111 lo 3i1i1E1-1 qBiJ1ood 3dT (ii)

I\&I A3isV SlID

JO q9i-'1 1i1i9mrIBqnofrI

01 O1Q.8

(.8) -O1 Q.f0.Q

(à.Q) -01 V84.8

(80.01)

-01 80E.8 (8.Q)

X

'-01 V8.8 (V.E)

'-01 81Q.8 (OE.)

1-0! 88VV.Q

(0.) 0-01 88O.1

(8.) 01 !81. (1

. Q 1)

01 (1

. 1)

hrnfru$qnoM noiu11iU

1 51UiI

n13mJ1LqnoVI

noiu11iU

1 311J1

1-01 88Q.!- (QV.)

-O1 0Q8.V- (4Q)

'-0! R!$-

8

3j1q bflofl nih9bnhJ 3i muqno :E 9IdtT

p1.0 S1.0 01.0 80.0 ô0.0 10.0 SO.0 b9xiIcunnA

4— 31u1J1 toq tiiuiiM (iiY)

01ô.EQ (OÔQO.0)

1ôOô.

tVEQ (Q80.O)

4Q 0V.4Q

Q8I.Q (18O.O)

QEEI.Q

8O41.Q

ôOQ (QOV0.O)

?V1Q?

V1Q

0V.Q (V8O.0)

180V.ôQ

00V.

(01QO.0)

R0.VQ

00.V

8O1.8 (8V01.0)

80€.8 Q8.8Q

.0

40.88 (QQO.0)

4ôQ0.88

1I.88

Qô8 (E8O.0)

OàOE.Q8

V.0Q (O4V0.O)

€E.OQ

80VV.IQ (.ô0.0) VV.1 V4VV.1Q

NQQ (Q8O.0)

V0.€ 010.EQ

0iQ (EQO.0)

E1E.Q

1VJQ

IQ0Q (41 1.0)

80à2 IQ

I

ôô8.8 (1 0.0)

VEI.8

418.8

0€11.Oô

(8880.0)

4Q.Q

0O1.1ô (&V0.0)

ô8.1ó

8ôf€.1ô

41V.ô (1.àô0.O)

VS VV.Ô

0.Iô (18Q0.0)

IV?..1Ô

81.I

V4ô (8801.0)

8t1V.

Ol8.ô ( 11.0)

Q1VF.Vô

I.VÔ

88E.E (JQ0.O)

1VQ.E

IO0.E

ô80.V€ (0VO.0)

E848.E

à1QE

E8.V (o0.0)

ôE1V.VE

Ô8V.VE

8!8à.8E

(8Vô0.0)

ô0àà.8 !VV.8E

8.QE (1V0.0)

000.E V88.

E0QI.O1

(ô080.0)

£.O1 81.0

1.0VE.14 (00.0) VVt.14

8èV1.I4

01

(0080.0)

ÔÔV12

SÔQI.?

Ô (8V80.0)

10E. V812

VIÔI (1180.0)

EIE4 1N$.

08 (0V0.0)

V

11V. (8EV0.0)

8Qô2 80V.

(V0.0)

£8f82

8Q (EV80.0)

88VQ.

QVQ.

0

iuol 1T .OO1 oi 1iup3 bnocl di 10 ou1v oi bnoqno3 3hq HA (i) :9oVI biibnia qlni2iood ii oriq 3nimqnon ifi :moflod oi qoi moil ii 1133 thi lo atn3m3L3 .hq A3iV 3di bnE 33hq SlID 3rIi (rlin5nq iii) tori JDI qoi- 3di gni2u b3fliqmoo 3i3 33hq 3iIi3msuqnon ouT (ii)

ioiimiio noiu11ib 3inomn3qnon ouli (E o1dT lo nmulo3 bno3o) q bni x lo oiimiio oiow o3nq )L33iJ$V bni SLID oulT .4 o1dT moil Aii lo o3hq 1o*ism ouli brn (4 oiuH)

dtiuol bilE biiuLi) E OLdET ni botioqoi bn x lo oiEmiio MMD ouli gniu boiuqmo3 . oLduT ni boiioqoi kh olin ioioini 1o ooiiq iohim oth bilE 1ovii3oqo1 nmuIo3 dhiw noiiE3i1qoI 001 =dn 'd bo3ubolq OU$ iorio b1EbnEi qiniiood oulT (iii)

.noiiEv1odo ioq oviiu3ono3 00=An 3niniElno3 aADoId

bnoll itY- t no 33j1q noliqO 1ItD i1i9m uqno : 9IdtT

O.1 £0.1 00.1 8Q.0 OQ.O — 9i1q 9b19X1

noitqO noitwiiqxa

.(iwi' :t)

b9iI,uJnnA 9tt$I oq .1. ()

100.0 (O0.O)

000.0 lô0.O

àô1.O (OEOO.O)

IVOE.0

ôV.0 (€OO.O)

V1V.0

QFOQO

8.1 (VOO.O)

10Q1

14I.E (Q00.0)

E4LE

fR1.€

.0 £0.0

(V00.O)

ô8O.0

OQ.0

IMÔ.0 (Q800.0)

8V4V.0

(4O0.0)

01E.1

(0110.0)

8S

V18.E (t0O.0)

1V08.E

Q18.E

.0 £0.0

ooi.i (QO0.0)

!!O.! 10.1

(810.O)

VV00.

€ii. (1O.O)

ô01.E

QI1.E

vi1u (I1O.0)

1ôO€.4

EF1€A

vo (Q0I0.0)

4V2 81V.

I £0.0

ôQ.0 (I10.0)

VV.0 E14.0

18.1 (8410.0)

E0.I

1V1. (V10.0)

0V1. Q00.

ÔÔ1. (ôI0.0)

1I0.E

(10.0) 001.4 1I.4

11.0

0IO. (E1O.0)

81V.1

(ôJ0.0) 010Q QOOVS

8ô88.E (tO.O) QV8.E

82V.

4Q0Q4 (oV10.0)

8I V18A

(V10.O) .0 11.0

(àIO.0)

Q100.

Q088.4

RV10.0)

88Q2 80Q

QÔ (ôVt0.0)

V8QÔ

804Qà

Q!!0.8 (V8!O.O)

U00.8

€VQ.V

Q0.Q (I0.0) 110.Q

00.Q

I I1.0

bnod 1nuoDib fli lo LJ1J3v 331 £ oi bnoqno 3hq noiiqo 11 hA (i) :3IoV1 bnod nibnoqiio di lo noiJioqolq B 6 biqx i hq i3ix3 dT .001 oi hi3up

.bbom thi iol 3hq 3i1imfuqnon :rnoflod oi qoi moil IB ll lo 2in3m31 iuol dT (ii)

-boh3 r1i bru &iiq MID l1no1-b3o13 di 2r11n1Bq ni ioii b1Bbrui2 qBli2iood 1i .hq bnu bJuqmo iw ciiq 3h1n1Bqnon 3rIi lo ion3 b1Bbni12 dT .33r1q A3i2EV miol . 3IdET noiibno mi rhi

ia ia ia jag iaa iao jai ia iag is iae ia iaao iaai iaa ia iaa aa

I I I I I I I I I I I I I I I I I I I I I I

I I I I I I I I I I I

2b0 IU1G1G2 aG

[idfl6

0•a0

C.a4

0a(U

0

] C0

(A

C0

0(U

0

0,CA

C

a.(A4

a.(A(U

0'

0

zbo( L

non onm OilS 002 000 ooa nine Dill TOO noo ama 0mm 015 nm ome Di olD au omo iô 020

thof Lø(

aino oum aujo 002 am an nine oni one one ama ami am nm one am nie au nme OlD 050

VoubolawGIUc (GUIGI QSU21I Mi1p aa COUIqGUC6 ouq

Ld0L6

0

MOUb((1L0UJ6LIC (SLUG OGU2O c auq AacG DGU!162

IdOLS

D

p

p

000

000

0

0'0'0C 4

p

0000V

p0p

000

00V

MoubuLouJ61ic DttflOU Et!W010L o Cib auq flOaiCGr

tdne

000

W0Ub0L0WGLIC D!UP2tOU {fW0IOL w a2 couqcG BUq

.bo LOI

000 001 00 00? 004 00 TOO 0Th 0110 000 010 011 lTI Oil 014 0J 010 0I 019 010 000000

0Va0

a0

0

y

boI

010

WCfaU (Ilt2)

ON ON ON0

lip

2—60t Boq b!c6 AoIopIi6

LIdOt6

10

(2b01 LOj LOO)

AIq cn