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owi ias! in 919di nu1s3qqn wsqqn a9ldsi 9adl iii noiinDftioqa JO 3!qmi 9di 9Iiffw brind l3dio 9d1 nO

lnuo3n ol 9luhinl lnioqbnsla oili9monoD9 nn moil ieiiI .anoilnoiID&qa xelqmo3 iom iebiBno3 01 anoanei

9d1 lua I 1dsT ni a11ua31 3viiqi1oeb 3d1 an noiiibbn ii! .in3iffl9ni i i3isbeao19lf! Innoilibno3 ioI

.iai3ini 3381nq38 lo i '(iiliinlov nin1ri aax no nb tn9m93rnJOnns lo ie113

i1u&fl iiiaM

I3bom (II)HDHAD 9111 ai li1i1n1ov niuii iaan IsiDnnnft lo I9bom beau 1nommo3 taom 3111 aqn1Fi9

r1ils13n niul'i oill lo noiM3fliq I10D 3d) 1z 63)9fl ton ai ti i{uodT .[8I] v311911ofl d b3aoqolq

'l3i1nv 3biw s aois b91 nila9 n99d and I9bom emn 9111 3un3d )hnrnd)fl9d inniioqmi nn i ti aoiq mumixsm-ianup io1 91ds1inv 91 al1ui 1nziiioedi noiiibbs a! .aineupi1 au!qms bnn 9anb iaas lo

.([IJ 3ninbmuJ 9lqmnx3 iol sa) I3bom idJ lo iolnmila, boor1i1s1i1

-bs nwi31 bnod 1ia3b lo bbom (I1)HDHAD 3iniinviflu n ni1&nila9 sd nid 9W fl091 33111 1o!

al39113 3i1iis1ov 9a3111 bommon 11siJini 3W .ei1I3 nb 1n9mnuonrin ban 119w-9di-1o-nb i61 b9iJJ1

mansm ol an wolin a1dsiinv mmuQ .[tOI] v3Ial9IIoH ban n9al9bnA Eli bni1luo 3lub9Dolq 3111 niau Isaoilibno3 ban ainuisi anm Innoi;tibno3 i{iod no nb ln3m9Dnuonns an lo tDnqmi (auo9ns1oqm9ino) 3111

rniol 9d1 lo is aniul&i muaan sw llnoftio9q .1i1i1n1ov

+ + + < = (I)

(%+I)fl(Vio+I)= ()

mmub io1nibni ln3m3onuonnn 9111 ai X a9ldniinv rnmub loin3ibni 1w 9111 lo nb in I 91911w

no ln3m93nuonrls an lo lfi 1i1i1n1ov 3111 aiiiansm emil iol Lanoana 1i1ilnIov 9111 ai a 9Idnilnv

ai lndT .\ bns a lo ln3bnsq9bni 93nsi1nv him ban O13S nn3m dhiw 3Idnilnv mobrini n ai 3 ban nb 'nb in9m93nuonn an an 113W an A39W 9111 lo 'nb 113n3 iol rnimib lnnoan9a (9vilnDilqillum) n 9lnm!1a3 3W

isili asb inem9)nuonns no 19Thb ol nnnnv Innoihibnoo 3111 awolln (I) noiin)fli39qa 911T .iobn1 y1i1i1nIov

no snsnnv InnoihibnoD illiw o13 nnsm antI + I) = lsnbia9l b9silnnoan9a9b 9th ai

.anb 1n3tn3nuonnn no (o + I)m ban anb ln3m33nuonnn-non

1nnfIinie 1dir1 h,d linma bnft 3W 3a1U333d tflefflOlTII laift 9113 iol f3born 3viaa9191o1un an slnmila9 9W

ni1uas3m ni a133119 9lul3uliaolDfm oh 9ub 3d 5ffl aitIT °1.awmub3l bnod 1uan31T iii noiisl3lloDolun 3viliaoq

11uo1di aln3i3ffl3o 9111 noiiibbn imI .in3rnhaulbn lnilisq muildiliup9 01 3ub 3d snm ti io ai1q

aa9o1q 3ani1nv InnoihibnoD 911110 noiinDiliD9qa 1911oD no

-Eli 313W aml3i l3blo 13r1i11 3111 md aml9l 9v!aa9191oim1n l9blo 1311id dhiw l3bom n b3lnmula9 oafs 3W 01

.b3bubx3 31S audi ban 1nnDI1inia

0

in3mDnuonn no 2fl1U91 HS9H1 Hi ansib ium bns aniuii nsm Hi i1I Iw-erb-1o-sb njasm

nth1fiv 1snoiibnoD i1i lo noiisDfti3qa niwo1Io nvi ai Ibom (1j)HDIAD )116md3n3d dT :\ aaoiq

I—\ + x__ + = ()

Esubiai t1J lo noiaiv Ix,)n9mu n i idT i{ Ltubiai bJ8ujhs iii i ridw umrruonn o ub iknoa9b IlsnoiJibb o bftibom [t1] v3Ia11JoEE bas n,abnA ni beau

ni&itscioasab) t io ((1) lo noiijmiiae moi tsuhiai 3sia iaift 9ii) \1() au bIuo3 w b3ia9lsJni Itsqi3nu1q W .at1uai Isziin9bi Lwsn aDubo1q oa niob ;(vIa1911oH bus nabnA as IiDsx

bnsd no nO .aiflsrn9Dnuonas niwoHo1 ii1iis1ov lsutoiiibnoD bismia di lo aii19qo1q niaiaiq ui

in5mnnonns isuli oa 1isibmrni bss1oq1oDni d o rroiismioThi qx bluow w ni3ffl sis aie*ism Ii

sdi lo iuJsd1 moa 'd bfaus3 si ii1iis1ov 11 bnsd ido 9di nO .naiaieq eWil Jididxe bluow awen

inemeruiouns-non no nsrLf iedid ed sm awen Jneinernuornis niwoIIo sneaia1eq Heai aaeoiq nibsiJ wolls diu1w anoiJ3ftioeqa eviiirnieiis r1iw lebom (1I)H3iTA 1smuI3ned iuo tnemeiqqua ew eDneH .a'sb

.isv oi e3neaia1eq iiLiJsIov 10 eeeb eitt

-smiJae boodiIe1i[ mumixsm-iafwp d benisIdo s ()-(1) arioisup iol aesmiae ieemsisq beioqeJI

esimixsm oi beismiae eis ii1iisIov IsnoiJibno io1 asutsv nihsia noiJonu1 boodile!iI Isirnon s niau noi ".boodilelil elqmsa siLt

as aioiis bisbnsia iaudotI .aniutei bnod iss-OC bris -OI sdi idl t sldsT Hi beioqsi sis a1uaei u1T

imsisq etli o anoiisftioqa Ifs aaoi3A .bebivoiq oats sis {O1] sbiibiooW bus velaiello8 ni usvi iaomts sis aniulsi iss-O1 bns - sill ml asismilas isiemsisq sill sldsla siiup em () bns (1) Hi asismilas

sin aniuisi bsisqx3 .!.O Isinmixoiqqs ai lnei3lfisoD svia sisiolns silT .anoiis3Iliosqe Its aeois isoilnebi

sviliaoq bus (bnod issiO1 sill ioI oVCO.O-) a'sbeiuulT bns asbnoM no svilssn linsDilinia I1silailsla

laii s 10 e3nebivs isiliss sill miftnoo sw Ilnslioqnii laoM .(bnod ms'-Ol sill iol 0'8O.O) asbii no

sill idI ieuIid )O.O bus oVIO.O ssievs asb ul3ua no aniulsi ;asb insmsonuouns no muimsiq

sin aboiisq emil insiellib sill isvo alluas'i sill bns 1IisIimia svsilsd aeiisa niulsi sell hA .ebnod senll

aas3olq niline-slsb sill to v)ilidsla nilsibni islimia

iiIilslo, esievs no Inemsnuomis sill lo lasqiTli lns3Ftinia \hls3ilailsla s elssvsi () lo noilsmila3

li{id si 5DII5i15V Lsnoilibno3 noilibbs nI .bnod iss'-OI sill io1 asb luisms3msorlns no ) d 5555513111

nilisla sill nixiI .sldslisvs sulsv nilisla auonsoxs to soioub ajjoivdo sno on si sisili saused si suiT bsb1si [8el] vslaiehloH bus sIn3 ui bsIasua as ensiisv lsnoilibnoonu sill to slsmilse elqmsa sill Is sulsv

.ailuasi islimia

Lb ioviI iii (I1)HD1IAD1 i1bom di JLHi aiad3oqiI sdi Lei Jorinso sw ;neJaiiq .!ebom (I(1)H3JJAO

-Iei asb in3mnJJonns no a9iJ13qo!q 33n9iaiai9q in191lib 9th ui b9ia9lsJni is w vods b9noin3m eA

Jn3mnuonns 1o 33n3taiBI3q viisbi 9113 9111 115X9 03 B31139rn irhi u sW .asb 3n91n9)nuonrfs-norL 03 vi3s q33a- 9113 moil 3mo n3aiaiq lo iuam bmbnsia 9110 .abok ssb in3mnJJonns-non oi bor1 sb

:([100I] v31aihEoH bus n919bnA ui b3on ai aidJ) nsiisv Isnoiiibflo3 b stol bsds

— k)t(\ + ) = —

lsnoi3ibnornu 9(13 ai bus + mii 3s sfiIi8sIov Isnoiiibno3 lb 9mui 3s noi3sJD9qx3 9th i 91911w

iol 9L13VS no 89)183 3i 911113 tdi ei 3sI13 Ii1-11sd s 3uqrno oJ beau 3d ns eiulJ I > + II .nsiisv

= +) ni3i9a d bsJuqmo i idT .sulsv 1snoiiibnonu eJi oi 'swMjid 313v91 o3 3znlsiisv 1snoi3ibno

I <\+i lb 9ulsv £ 1qmi esulsv 19331n815q b33&ni3e mo duor131A — es b3nft9b etidi ci &liI-IIsd 9(13

9Iqmsx3 mo'T .n9iaiem9q thi enimm33b o3 muasm aii13 au hhi3e ns ew (evi3sen ed bluow . isrfi oc)

3lmiem ciii) nieu eudT .19vi33qei ebnod ie-0C bns -01 ethi mdb 00.1 bus 00.I Q0 eLBup3 + u{3 mob eiiI-IIsd beilqrni erIT .eneicicmeq lb eemeb did £ 8 emeil) eiecas eemul3 us ui isul) ebu1Dno bluow 9W

.c'sb CVI ci bnod

1183 ew ubidw i :aeiq ow) oini ure3ciameq lo noi)on 3emft ed) nieoqmoeb mebidnoD ew bnooe ciii) buided noi8iirini 91{T .)lI9 'biibni uh) 11s w lI3udw bus eT1e 3sib3mmi mo mib 911)

9(1) rhuoidi 133mib 3ihiis1ov Isnoi)ibno3 awomiomo3 e3neuRni nsz 'sbo) bode s isrI) ci emu3sI3nemon

lsnoi)ibnoz eu) jo aeulsv bes1 u1uoudi cim iliw mevewod ,

1_1o c3zelIe 3neupeadu .(C) lb m193 —

no .bou{e s b )fte )oemib ed) rbflOd is- ed) mol e1qmsxe mo'I .miej 1M\ eth) i{uomr1) ei 35113 e3nsi1sv

.13neupeedue 1I0. 33s1 is c'sb )fie ciii) ;80. ci 'iiIiisIov lsnoi)ibno3 ewomiomo3

lb Jimiqc 911) ui 3i1i)sIov lsnoiiibnoo ol eborle lo 'soeb 113 alebidno3 eDn3icidmeq lo noilinfieb bud) mu0

cevi (C) lo noiamuem 5 ms1u3!imsq nI .1 <.\ + bns I > , + lo eas edi ui diod lulecu md slil41sr1 £

._1_t\+ \= i't

cboim3q b iedmirn th) ninurnm9i9b Iii beiciini 318 3W = d 111w boile s lb i1Ie Isioi silT

audT = '-\ isd) d3ua cbo eulsv 9113 buff ai isuhi bsqrni oi lo ioslls 3dibolIsuI mob 89)153 ii isd)

I— ()nI (\)n1

i3sqnii o) lo ie1te 311)10 cmeimsup-eeuhi mol aboimeq ?. 9)183 111w ii 1siinsnoqxe 819381 soeb sill 9etJs3&H

8

niaU .sia iqmi-1Li1 sdi o icil !si Iliw ii inoL 9di bus 9d 111w a iis1 9th \ ai idir{ 9dT

isss-0C 9th 9191{ .19vii39qa91 abuod is-0C bas -01 dJ ioI sb 08.21 bus CVV.V = a i1J9m aii11

ic1i iii 33u3iai19q 9ulnri9i3b on aob g 9ion) o 3u15v 19t1id i1 oi 911b ni1sq aom st1 i buod

.(3Js1 s39b 9th euivo J1I ,iibni 3di 1no oiism

1139wi3d 9isin3iThb o u wolls vdi iudi l n3i19q lo enoiou ow 13is1 9th o ft9u9d euoivdo 311T

l3Ilsma oi buoqa9rlo3 'sm 8iz9119 iD9Tib iis1 is1uoiJisq ill c1t 391ibni 31{J bus 1I3 f391ib 9th

l1svo o a13v91 islirnia s1qaib (C)-(I) l9bom ni aJ9aas 9idJ Ifs efiilw audT .s813v iv bus ai3119 i33libfli

l9lIsma s bus 3si 's39b iewola s auth 3!qinsa buod 1s90C etli (3i1Jm 3aift t{J vd b9luauem as) 93n9a!a19q

- 9th lo Jurli moi 213Thb boiiq 9Iqmsa ai isdi 11si) aiia $ 131110 3111 ob audi 813or18 b iosqmi iiib 10 isqmi lsioi d3 lo uoi3sñ istiw 11as oi buuois (C) noiiuup9 niul hs1irnia us 3W .(abnod is-01 bits

111w buod 1s-0C thi ol lootla s lo OOV as aidi ni 1uvfris all niwolIoI illuom Jaill 3113 nir11iw 315 111w

.aiia owl 131130 9111 iol -1 bus tllnom laift t13 ni 3M 3d

iwaus oT ¶a'sb isdlo no a±oda usd3 in3Jaiffl9q aa91 io iom aboi1a 'Jiliis1ov 'sb inemnuonas iA .a'sw lsl3vsa iii I9bom (11)HDBAD 11ismd3n9d 9113 si1s19n w noi3a9Isp aidi

s3aeiaial3q 1silu3oq Isbom 13i3i1qx3 03 sw no b3isqbi3ns is a'sb ln9m33nuonus iuo 9ausd 3aii'1

bus 2 a3IdsT ni (C) amiiloz 10 liiiqa 9th iii ($) iii mmub iu3m93nuonns sill lo as1 bus 2b591 9bIJlDui 03 at

:sw niwo11o1 eth iii (2) vlibom w ai isdT .C

+ 1)fl (I + 1)11 = (n$)

91d13d loivsl19d ii1iis1ov Iii rtd on ni1qmi ($) a9rnoD9d (s$) 9bu13x3 9W Ii Juili sioVl

.alff3m33nuouus 13315 jo

= i? = isdi aiasthioqtl tnio[ 3113 lo lal bluW iaudoi A . 9ldsT ni fl3Vi 315 I3bom aidi iol alluasJI

.19vi3o9qas1 abnod 1u3-0C bus 1s3'-0I s- sill iol 8O.0 bus 881.$ ol Isups si 0 = bus 0

snon uoiiibbs nI .(s$) lo iovsl ni b9i39191 iou ai($) isdi oa 18.T ai 911151 ls3iii13 (C) 1n3313q 9V11 3dT

aiuSi3fflSo3 191130 9113 lo a3lsmula9 silT .oisa moil ln9,ftib '1ius3ftinia 11subivihni al ainei3fll9oz) sasdi lo

93n3iaialeq lo 891U8E3 331111 hA .($) niau uoilsmuia3 moil b3uisido 9aodl oi 38013 I3V 315 l3bom 3113 lii

.($) 1131w bsuisido alhlJa3l 9113 93ubo1q31

-olq (1)! its bus Isbom (11)HDHADI us 91qmsx9 iol u99W39d anotiDnhlaib 'usm sill lo srio ai aidT iu3bn3q3b b3s1 sill no 3n313ffl9o3 3113 ol beislsi 1lsiiu3rtoqxs al 539b lo 9151 3111 19i351 3111 ff1 8893

(11)HD5IADI 3113 iii 8831911W (l3lsmslsq 3fl0 no abasqsb 98ffO831 saluqmi nibnoqa9vioD 3113 bus) 9IdsIlsv .\ s33b lo 3s s bus ol 9ub lb olsib3mmi us no diod bn3q9b 111w anoqaei saluqrni 3113 13bom

8311151 9111 3us3ftinia 81 ini1fioc b3buI3ni 1w9n 9111 duor1l1A .I3bom M-HDBAD s b3ismuia3 oals 9W

-rin siLt intb eisua Isborn iiLt ois moil 1dscLtiuniiibni sin bffIso ? innvsisi siLt u&sEE

lb answ sI stli isvewoH .nb Jnsvs sifi no risdi isdio 'iLiLiniov (10 i)51I5 I5iJI1r1U 0(1 and insms3nuon

siidw ai IndT .Lisii2inim1sisb anb Jnsmsrwonnn-laoq bns -siq illiw Bissb ii mill ei noiln)fflDsqa idi sill bslIs aborla insmsrnuoriiis-non bns boda lnsmsnuonrrs a'sb aois isiuib ol bswolis sin esnsiisv

.boila 5 lo s3nsl aisq niisThb iol sqoa on ai sisilT .'IInilnsbi sna3i1sv Innoilibno3 anb niwo1io1

iii lnsifflso sill wolls ol sd billow alnsmsDnuOnns lb absits sill isbom ol nw svilnnislln xis uilT

WOfi sw ai IntIT .BlflsmsDnuonns niwoLio1 sukv insisThb s no silsi ol noilsups snniinv innoiiibno, sill

asoiq snsimv innoilibno sub noilulovs sill bbsq sw mill iqsxs svodn (2) bns (1) isbom sill sinmilas

.x_\+ 3[(!% —

1) + 1I,i] + c=

= Ii ansistlw Aooi1a lnsmsDnuonnn sill lb snslaiaisq on ai sisill tnill asiiqrni audi 0 = Ii Inill s$o4

iflsms3flhiOflflS bo aaslbinsi sonslaiaisq smna sill svsd aADoda mdl asiiqmi iloidw () ol asubsi (dC)

isbianoD laum sw asb lnsmsnuonns-non bnn JnsinsDnuonns no aimsnb liIilnlov sisqmo oT .aijisla

.sonslaiaisq bo asiuansm 'ismmua ixxo

-non lo Indi moib JnsisThb ldnsoilon ai aboda tnsms3nuonns lo l3sqini isiib sill iisq laom sill io'I

ai noilibbs ii! .abnod iss-0C bns -01 sill iob > mill awoila 8 sldsT .aboda lnsrnsonuonris

liditlxs a±oila lnsms3nuonnn mill niiqmi abnod inss-01 bns - sill iob ois nnoib lnsisThb iln163ftinia

i\ sonsiisv lnsms3nuonns-noii sill svods 8 ai nb lnsins3nhlonnn sill no sonniinv lnnioilibno) .s3nslaialsq

lb s3nsuhlni silT .isvil3sqas1 abnod ins'-0g bns - sill iol islnsi OVI1 bnn all! .bnod ins-01 sill iol

sill d bsilqillum ai (1+ nb) snsiisv ib nuoo\ sill no bnod ins-0I sill ol looila 'sb lnsms3nuonns xis

.isdiil ins3lsq b Iiluoi i3oda lnsmsDnuonnn-non £ iob $80. niliw bslsqmoD 8O. ai bns (? + 1), 101361

ai boda 'nb lnsms3nuonns ns lb loslis sill —

Dilsnlnlb sIom nsvs ai s3nsisllib audi bnod ins- sill io'I

lnsmsDffuonns ns bo l3slIs innroilibbs sill bnod ins-O1 sill iol .isiliil VV iiluoi $80. dhiw bsinqmoD

bslsiqislnl .SaEs13fl1 °V1 s nilnsasiqsi boila isb insms3ffuonnn-non n iol $0. auaisv 180. ai il3oila 'sb 111w lffsms3nuonnn us niwo1lo1 sb sill no abnod ins-08 bnn ins'-01 sill lb ililllslov ssisvs nw isillons

nb lnsmsonuonnn-non n niwoliob li1iln1ov snisvs nsili isdiil lnioq sslnsD1sq sno lslsmixoiqqs sd

.a)l3oila 'nb Jnsms3nuonnn bo sDnslaialsq Isnoilibbs lsniinim nulasua

t11.1 bns 10t.1 ai = n mill aiasdloqil sill 1 ailailnla-i laudoi sill (f) ol (dc) niinqrno) asob sisill auilT .aslni bnod us iol smna sill sin aJnsi3fflso3 sill mill aiesdloqil hun sill l3sLsl ol nilin1

xii () bns (s$) (1) lb Isbom sill 139 jsl ion bluo3 sw bnn ldsiDs1qqs snsdD on bib alnsi3fflsoD isillo sill bo

as aisbom (11)HOJ1AO wIusi slnmilas siolsisdi sW .iasl oiisi booilils?1i1 n niau M-HDiIAD sill bo iovdl -iansa sill isbnu [ml ion ob bus asilisqoiq oi1olqman nwond svsd 'sil1 as isqsq sill luoiluoidl () bun (1) xii

.' slonlool Hi bslon noilsDftiDsqaaim ol 'livii

01

iii n&nnuonns-non auaiv n3mfrnonus b J3sqmi rnn-no! di nwd noiJ3niib s 3d oJ issqqs OfI

() lo 9aodi oi lsEimiB (3viisiikup s 1uas9m nsIiiq eidi Ifs rnoiiibbs iii .(d8)

-non as msa iIi s 1od sb fI31r13311JJO11f1J3 (hitsnoas9b) SLI soibni ) sldsT

i aitiT .iiIic1ov iuu1 lob noiis3itqmi 1i9ff 1o aml3i [Ii aborEa in9m93uuonns

scf 3 qx bluow w n3d3 noiJsmio1ni wn s11u1 3a9ib o3 sb nibsii 939lqmoD ii lo sqa 9113 niif3iw 3Ids

1LS) w 3Y .asb iii sp9adua lii ii1i3s1ov 391Is ion bluow boda sb irlsm9Dnuonns 9113 1o 3113

.(abnod is-O1 bus - 9113 idl) aia9dioq1f airli

sw c1i b9iimil 9vsd b9l3biano3 3vsd w isili Esbom *ismd3n9d r{J ol a3viisni9iIs di 1o diod ist o aazoiq 3113 isdi ii1idiaaoq 9113 ioI wolls won 5W .snsiisv knoiiibnoD tD9TIs aADoda in9m9)nuorIns mdi

isdi aaoiq 9113 moil ai3Thb aborfa tn9rrionuonus oi sub snsiisv Isnoiiibno3 lb noiiulov9 9(13 thnisvo .s) Isbom nii13iwa s sai' ol iusw 1sv9wof1 Jon ob 9W aboda tn3rnsonuonns-non b bsqmi sili a9diia9b

no abnsqsb assb in9rns3nuonns no iiIiJs1ov Isnoiiibno mdi 'Iqmi bluow JsiLt 9Dfli8 ([81J noilimsH

¶9(130(15 j11q .bOilsq (in9ff1$)tuJ0(1ff 8-110(1) flIfl9V19ini 9111 (11 aboifa moil a1331h9 flulOf1i a3iJ15V auoiv3lq

3slsVS no) ii1iis1ov sb ifl3msDrnJonns-non 115113 L8nupsiI aa9I a3nsf1D iifi3sIov 'sb in9ms3nLJonus sw riliw hid 9Dn9iaia1sq Isiinsl9Thb idE wolls Esborn 9di 35113 19191q bs9iani bEuow 9W .(sb EICI i&vs Irto

trlsmsz)nuonns-non bus srnsiist fsnoiiibnoz bsisEsl-insmsDriuonnslo mua 9113 as b9nftsb sDnsllsV lsnoiiibno3

.9nsv1.6v Isnoi3ibno bsinlsi

Esnoiiibno3 91113111 olni ol boda tn3m93nuonns us awolls dDidw rI9bOffl 9rnixim 5 89U BI11T

:3ffsvxsv 1snoiiibno 9113 to noiJs3lIio9qe niwo1fd1 sill bus ) (I) lb aiaiarlo3 Isbom silT snsiisv

+\+= i\ (SC)

+ — 1) =

1 _1 1_'k'- 4- 1'1—?1—'K —

(C) Isborn oi a3oubsl (SC) v\ = bns j1) = ytd) Ii assI9fIW (dC) 03 as3lJbsl (3C) \ = Ii 35113 siol'l

al3bom sill audT .(\ —

I ioisl £ d 3a53139b bluow nimi insianoo beismuia3 d3 to 9buhinsm 9(13)

iol awolls Isbom isiisl aidT .(C) ($) (I) noiis3ftiz9qa 9113 (II bsiasn sis (dC) () (1) bus (C) () (I) ni islimia ai bus abnsix9 II .a.Iooda insmsonuonns-non 10 a33s1E9 i3slibni bus 1391ib 9113 diod Iii as3n3ieThb

nssm sdi ni ailida 3iiainurnlslsb iol awolfs didw j000I] asqsiiasJ bus xueiuomsj 10 Isbom 9113 oi iiiiqa

alsi3mslsq 9anoqasI insbnsqsb-srnii a9ft!3sqa Isborn iuo iasiino3 nI .aasoolq SDffsilsV Isnoiiibno3 9(13 lb

.aasDolq 11331A sili ntu1sVo

noE aiidiffx9 aaoiq A .iomm no1 tididxe inch al9hom a3nsa 3(1113 ol belsl3l oafs ai Esbom 3iuixim 311T

b9vl9ado nd asri ii1iisIov iii 10ffl9ffl no1 dDu .9is1 Isiin3uoqx3 usd3 iwo1a s is mo 9th abodali l0ffl9ffl .([IJ n3a13)E)I!M bus v9lal9hloH bus [CI] 9In bus isnsiD niU sbijbui a9lqmsx9) a9ilsa (1111351 isaas ill

II

iol sb lo isi zi1odiqcL wola s nisido [1} n11,liM bns v9!a1311oH iHisH fluILbOf1i Th nI

.L3bom (HDS1ADP1) HcflAD b33s13ini Ltsnoiiosi1 s ,niu anoiisvoniii bsisupe bsL lo nsuftni di

£ isdi wor1e [O81] icisiO HslIi39qa .bis151 'Io13 is xim bns noiisieini fsflOfi3s1'I

diiw eoiq (1 )iIA 13Jqmi1o rxurunuinoo s lo 9luixim s as niiiiw d ns eaoiq AMHA bsisiini I1snoii

(11)HDIAD 1qmiaowi1o iuixim mo inemom bnoa r1i oi oIsns sill nibnslx1 .asism 'szb lnsm&luib

.Isbom HA1M' cLl iii airnsnb sill lo smoa sniiqs 'sm albom

isili aoiisi booifilsilii sill 1o noailsqmoD s mo'i1 issb ai II .T sldsT iii nsvi sis Isbom aitli mol alluasSl

bsnidmo3 () bus (1) bus (C) ilhiw bsnidmoD (2) bii (1) illod ammohsqluo (DC) ilhiw bsuidmo3 (2) bus (1)

sill 1o asuLsv sill ;(bshasu ion sis aisbom sill s.nia (C) (s) (1) ol sldsmqmo3 ll3s1ib ion ai Ii) (dC) ilhiw

ws-O1 iss'- sill iol 0I.1'2 bus C8.01 81.T (DC) bus (C) aisbom uimqmo3 3ilaihsia oilsm boodhlsilhl

tfuoill usv3 lo sulsv IsDililD lusisq evft (2) sill bssxs ilDiilw lsiihsqasm abuod iss-OC bus

as amsdmun sasill wsiv sw ixslnoD audi iii bsiamsvo sd ol Dihailsia oilsi boorlilslil sill hosqxs bhiow sw bsluqmoD sw sd lsnoiiibbs us aA .(C) Isbom smijixim sill lo movsl iii (C) lDsLsi ol sul llnsi3fflua

bn v\ = bus i = g Isill aiasd1oq'd thin Iniol sill mol [001] snisbarnuJ flu as aDilailsia blsW iaudoi

bus 1$.1C ôO.81 ai Dilailsla sill lo su!sv sill) asimsa seidi lI mol aasilioqil audi lism luomla Fusiimia

sill lo asulsv sill (C) ol (dC) Isbom nimsqmo3 .(1svi1sqasi abuod mss-OC bus -01 - sill io1 8M.1$

sill nul3s1s1 lsvilsqasm abnod mss'-OC bus -01 - sill mol .C$ bus 1$.IC N sis aDilailsia blsW laudom

aiasdloq'i1 lluii sill isbun (1)y bsludiiiaib ai Dihailsia sill) asimsa ssmill Its mol i = ,\ lsdi aiasilioqil finn

ai sutsv lsoiliio insDlsq sill sill

-sDuIJonns mol COO. 1 bus 0O. 1 110.1 al ,.l.\ + ,i lo stiisv sill sDuslaiamsq lo asmuassrri mo ol uinmuls.tT

mslimia s3nslaialsq lo ssisb rlid £ uiiasua lsvil3sqae1 abuod iss-0C bus -01 - sill iii aboila lusm

ablsi smuassm sDnslaiamsq haul uuo aboda lnsmsDuuouus-noa mol lsvilsnusllA .alsaas ssudl sill aaouDs

usd1 lnslthausq suom sus aboda lusmsDnuoflns DilIsm audi dhiw aisdT MOO. bus 0O. 0.0 lo asuisv

.aas3ouq usuoilsla-sDnsiusvoD s awollol lililslov lsnoiiibnoz lnsmsDnuonuIs-nou ail3oila lusmsDnuonns-non

-1iniaui ai iDsqmi lDsuib sill slidW .uola uslimia £ IlsI seuslaiamsq lo asmuassm bull bus bnoosa silT

adDoila lnsmsDnuoflus lo lDsqmi sill alsaas ssiill Its mol a'sb lflsmsDnuouns no ouss moul lnsmsThb sIlffs3i

sill niilliw uiaiis lDsqmi sill llstl Ino ilhiw (\ lDslIs lDsuibui sill d ussa as) smulill sill olni isl aleiamsq

ailssid illiw aboimsqdua ssiill msvo Isbom aiill uilsmilas 'd hilidsla slqmsadua bslsilasvni oats sW a svilshiIssp bus aIDsils iusmsDnuofrns sill iiIidslani lo sDusbivs ai susill duodhlA .V8\M\8 bus V\1\8 Is

ol sviiiansa ai sDuslslui aixsluo3 isillo iii sliilW .b9nsd3nu lsisI uismsi s3uslaiausq uibussu auoiaubuoD bole bus snisbamuJ ssiususH bus [e801] uouus sIqnusxs mol ssa) ensilo IsmulDuula lo noils3ili3sqaaim suoM .sisil uilsilasvui sm sw uoibasup sill oh bmssi illiw $85D sill sd ol mssqqs lou asob audi ({$1]

-sd ai Ii lxsluo3 InsumuD sill iii bud ilDussast siulul tol suaai luslioqrni Ilsilusloq s as audI WSIV sw Ibsoud .isqsq audI lo sqoa sill bno

inmnuonits-non ias1noD iii .Iviizqai abnod is-Og bits -O! 1-ö di io1 1asb V1 bits Ml

oJ visIi lo u!sv iisI dDum sdi sd b93nsbiv9 as) bsiib iis1 dDum s vsd s11sDiqi aboila

q '.a'sb Ol- iaift di nitLfiw niriuo iosqmi iIi b Ilsil diiw bvi1-iiot{a ai isqmi iidi hid ,i iI1 nd 9vs11 Iliw sqmi au to t-l Icio boi1a unmnuonns as aiwoIIoI dinom et{J ni sw isdions

.boda tn3monuonns-non s niwoHo dinom di ni noiiqioads -88 duiw b91sqmo

-19q inm3nhJonns tuods anoiau13no tn9l9luib tiup ot abs! (DC) bits j) (l) lo Lbom iuixim 9dT

isdi bu13no w (dC) ni as 'cisv oi b9woIIs al ii9rns1sq rIt Eno II .a1bom l9Iqinia nsdi ntaia -aU .Drttaia1q iijtt o amisi iii s1dsdaiuniiaibni &is aboda inm3MIuonns-non bns a±oda itI9m93nuonns

vwoH .la91Ttib 'kvilsii1sup is a.boda aif I isdI bnft sw bnsrE idlo silt no jsbom siutxim siLt ni siLt 135151 loitutS3 sw tsdi bs'I sill no bsasd at noalsislqlstfH snO .asw owl iii bstsiqislni sd 1153 allUasI 1LIO

ion ai nsdi sas3 sill ai aiili 11 .(O = .e.i) Its is laiaisq ion ob aboda lnsmsonuonns isili aiasilioqil

.3iiasbsAaomod ai snsiisv lsnoiiibno3 sb lneme3nuoans bslsi3oaas sill bits moi stdsftiinsbi 'lslsisqsa

isdi C(Ol) ssJ bits noiniisb3 b saoili illiw ssis ailuasi mo j Isill ala lloqvil lEan sill msbnU

-liislov isill bits airisrnsiiuonns nonosoism sasiLt ni noiismmoIni sill slsloqlo3rii bbiup asnq ls*ism

'10 aiast1loqil lhsn sill noilsmio'1ni lo isadua audi mdl lassi I A .alsvsl lnsms3itiioitits-slq ol an'ILJisl 'hlouiip 'li sisisns tort asob aasomq niisills-noiismio'1rii mo nibsmi sill lsill aiastlloqil silt rliiw instaiano3 ai 0 =

sub ei 'lililslov bslslsrio3oius 1lsisns ni lsdi alasua noiislsmqmsliti aidT .asb itib ua ito liIiislov

.awsn bslststlo3olus ol

A .insmsllib Edsmsbianoo ai noilsisiqisini mao omsnon ai ii lo siikv situ sill brisd usillo sill no 1I

bluo3 sw slidW .lnslaiamsq 'msv ai isril 13&fls lsuib lLama s alasua simo ol eaolo \ illiw ,. sviliaoq lLama

ilaiuniiaib ol Iqmsils sw insiaiaisq vlsliitftni as bsismqmslni sd sm ii3ilasbslaomoil lsiiitsioq isili sii1s nil3imlas1 (3C) bits () (1) Isbom 'to rloiamsv bsnisuiano3 s niismulas 'd anoilsisiquslrti sasdi nsswisd

aisb lnsmsnuortas-rton oi nibmo33s asvlovs bns no abnsqsb snsimsv lsjloiiibno3 isdi oa 0 = = :niwollo1 sill bits () (l) anoiisups 'to alaiaitoD Isbom bsiDiliasl aidT .Ino

—_3{I —

'Jv =

ai 3ilailsla oiisi boodiIslil sill 'to sulsv sill bnod 'iss'-0l sill mob 8 sldsT iii bsnislno3 sus alluasm silT

8 sldsT to ailuasm silT '.a'sb lnsms3nuonns no 'li3ilasbslaofnoil lo aiasilloq'd Elan sill nit3sp1

515 aborla sb-lnsms3nuorins lsill sbubrlo3 sw smo1sisilT noilsisiqisliti bitoosa silt ol liIidibsmo bnsl

mob smil isnoI s sEsl sm Ii sliilw ai isdi asb lnsrnsonuonns—non no aboda nsill lns'isfflb 'IsviisIilsup

.iiIilslov lsitoitibitoo no iosqmi sisibsmmi lLama s lno svsd 'scll bsdioads sd ol ailooila luemsortuonris

.iss-0 sill mol 10.01 bits iss-0l sill mdl uss'- sill mol !( .lxsiaoo airll iti bsiaiovo sd ol Islil ai oulauisla oilsi boodilsAil sill msqsq aiill iii smsilwsals bslon aA

.aiillbo sliqa iii diil Iiitsiofflua sd ol sbuiinsm sill wsiv sw msvswoil O.1o sulsv lsoilui (l)'j £ ol svilsls5t

Cl

8uoiauknIo 0

-qnuma 1sniiio 1110 isdi 81 bT19 in9m9Dnuonns 1r1312i213q '1no1i2 j3v91-wol 2idi lo noiis1nqi1ni 9110

noiisi31q13ini aidi l3bnU .nibs1aim al —

b3 f311oo11ss-ffon noiiiffl19b d at 2W3fI irI9fn33nuOuns ISEIl —

noli

911111 o2 .a)bolla awn (1n3msnuonns-non) 191110 lo ii1iis1ov 9111 aisi bluow botla sb irI3mnuonns id 5

Isuoiisi aisdT .fl01283391 S nh13in9 ai fflO11O33 9111 1suia airfi aqsdl9q dinom aidi 23211 3B1 imoIqm3nu tloq9l iumo1qm9 ixsn 9111 duodi uv i119v9 awn in3up9adua oi susol1inia is91 diJs1 bliow 2iu9a3

829D01 nibs1i 9111 isdi siiup& ion a9ob noi1snslqx S1ida rni? airlT .ilThom tilons 101 emo3 Ion 111w

.ii1i1s1ov b3JsI9llo3oius a3isI9n9 113211

-918112 nibsii ni a usd3 m19i-nol aaus Ii1iIs1ov 'sb iu9m iionns isdi ai noiisI3lqi3ini bnoa A

311i fflOfl033 3111 lo 31612 31111 3111 iuods fF1631 1no ion al3bsIi 232i1 3161 in9m'olqm9nu 3111 11311W 0 .23i .noiismiolni 9iSvilq a19bs1i 320111 inods a93n9191111 wsib 211111 bus 219b611 19111010 2110113591 3111 evisado oals

sb insmnuonns 3111 ni11sbom iol floiisoIhD3qa 123d mo T sldsT moil wsmb sw ob anolaubuoD isdW

anoLls3lII33qa 1110 us isvo laudom sd oi msqqs sisb sdi lo ainIss1 auoivdo owl isr{i 91o11 9w iaifI i39T19

insm3onuorlns no 13dif1 at ii1iisEov Isffoiiibno3 isdi 21 31111551 laift silT .InIsmsflft3m aii{i oini 3V1v1112 bus

3viiiaoq ius3ftinia 915 313113 viu bl9i 3111 lo b113-imoda 3111 is 12631 is 1isdi 21 muis1 bno3sa 311T .a'sb .aJ3b in9ffl9OlllSoIlnS 110 211111191 2233X3

hi1 £ 211 3Vi (.1OI) 39J bus noinimeb3 as ibija sisb sb-siini 1111w b9nidmoo 8 bus ' a9ldsT

Ws1 iamft 3111 uI b3isnsml 516 am3bsIT .lusmsouuonns 3lfflOflOO3OlDSffl £ lo 313'3 3111 3111 lo 3111131q ei3lqfno3

no1 £ 101 aiaiamsq 133113 'ii1iislov suli isdi iasua ailJJa9m 1110 .s2ilidsia asiiq amuod wsl 5 1311A .23111mm

ssb ln3m33nwonns asb in9upsadua no isdi ai 813i3mswq b3ismiia3 3111 lo nibssi 1110 .13116913111 smil

.339119 niias1-no1 md lisma 1svii6l91 s 9vsnl 2)130112

.211111131 13225 ui ii3iiasbs)1aom9isd lsnoiiibjmo3 ni13bom mol anoIis3iIqml i3snb 3vsnI 21111231 1110 11stii'I

.a'sw 9ldsi3lb9Iq ui 93n3ia1213q 113111 111 15V 2)130112 11111131 isdi sDnsbivs uomia bull sw is1tniimsq nil

lsnoiiibnlo3lo a3ismuia3 101191111 oi b531 01 l9)1i1 ai bus noiis3fli3sqeaim Isbom ni 21111291 noiisiisv 21(11 niionI .ni3imq noiiqo lo 5915 sill 111 lauoivdo iaom 119w as anoiism3bianoz) Is3iiDsIq asil airlT .1i1i1s1ov

M

93LI91319$1

IciDflsnft Iii nJieiq ii1its1ov bits i1snoa& sbsiThP [F(IJ v1i11oa miT bits .0 nodioT noiobnA

.iieivinU ni iawdJio'I 1qsq ni*1oW 't)!15m

ntuu smiT uojjniino it, nibsiT ibiuI [I] n9X

bi1sin bJsiini '11 ioiisiP ([O1] n8IbliM .0 ansH bits v51a19JIoH miT !.T bisibi$I ei1lisa

.liaivinU niiawi1hoI4 bdiiduqnu iiDiasbIao1i9f1 Lsnoiiibno3 9vi21IoJus

i{3 lo aT Isinup bits vieiuzfl [1] boi .11 msL bits !9nisbamuJ ,J nido s'bninA ijtns8 \p ruo znbiva !srioiisninI bus 'iosdT :a9f1JoqH Es31H-bnelT bits Joit5i4iiiU

.i'8-IV OI t -ntouo \o nto. iii EbEo13H IsnoiiibnoD viaiioJuA biIs19n9Y {81] miT v31a111ofl

.vc-voc it lo w3ivJ1 A :9Dnsni'I iii nu!3boM HD$IA [OO1] 19n0IM .'I drinM bits norD .Y s$I emiT v1ai11o8

sto\ 3n9biv 1si1iqm9 bits 1o9di rb

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