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03 nevig noitnetla smoe 1131w 1etham boog-slaibsuneini sñt ni b&nuaaa oala ai
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edt 01 1Vi oala 81 noilaiebi&ioo &noa md boog staibsansini sift lo tzoqmi
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edio 1131w 'biadua hoqxs edt 1o anothaqmoa saMew &noa aqolsvsb ieqaq cdi
hoquu na baa biadua noitauboiq £ (13U1&n ,ajiieuurdanz ai1oq gmthda-tnsi
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lo swim cdl tail nwoni Hew aili (ô8Q1) namaaoiO baa noia3 sath2
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ot taoo cdt boa laioqonoin edt ol bofluda liumq cut 1nuooa olni gnblaT
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m noiiiteqmoo iQoheq ithnu I8a-zino3 H .ech bluow ateoubmq boo-lani1
cth 01 boon bluow awubotq boog-IanII lo alIloiq cull Iqqua boog-elaibonnclth
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a taonil ai bnaincbii tcvcwoH .(bnamcb zaenil .g.c) anoilibnoo bnaunb coma
lnct3ffluia cwiqao bluow 3uboiq ctaibennelni cdl nilqquc loqonom nicio1
toven ai '(3iloq a da lath biadua hoqxe na d beiaienc ainci cub lo .lmoqweiv 3daemob a mail eudwzftzow
eiaibeuncini cdl tol atctham cdl hit ai noiiqmuaaa lnahoqmi nA
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cdi ieqaq cdt 1o doom tol icvcwoH .anoiionlaet obail lo concoda cull ni nave
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8 318113 81o±iain lomuo3 elamqes ni bsnimis18b '1auonegobne ed 01 eonq
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nevi (1&onaox3 na Ia i3nuoo nwo 1eifI nidliw mcnl boo* 3iaibonneith 3dJ
wolla ol ( iioi)ae2 sea) Iaborn 3dI xa!at iaIaI w tavewoH .i b3onth shq in) bad8ab adl d belailwlli aA .I8uonagobn3 beniuneith 3d o1 aa 113w aa
io ii annit Iwliiiebi lo quoig emaa eiiJ 1 .gi ilk awoiia (biloa cdi 01 noilibba
.aeiIinuo3 dlod in I baa b aanft 01 booa cI&ibenneith cdi thivoiq n3113 in
.r .ri c'aM eerufi aeIalopo3n lebom edi lo tnuhdiliupe Ioelieq enia*dua edT
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iiaaM-Ioinuo3 a lo aicad cdl no CI inuo3 ol beilqquc boos eIaibennclth cdl
alcliam loinuo3 bclncinca eia c-iou auonc3obnc cbwn ci z ncdW .mundiliupe
1qquc 111w ii ceiilinaup ciii oi almmo3 neil in io 11 nnft iba3 .3nuo3 if3ae ni
aa Jnuoo daa ol annil ioubo d beilqqua ceiiilflaup oil nbLaI 3nuo3 i1)ao ol
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thooD slaibsunslu! bni Inf4 sill iol ?Js*wM sill ni mundili,ma £
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.jsiwn b o-s3aibsurislth 3111 in mundiliups
boo* LanlI sill lo 1svi3sqaei baa aluqino submq 1 baa b amiiq
bb — by 51511W 'y + 'Y — Y liJqliJo s3agsa ol 5 nivi ,s3nq silT .iuqiuo nieio1 lalol altsasiqs1 — Y bna luqluo 3iiasmob
= q noiI3mR bnarnsb satevth sill d nsvi ai 33ub0lq lanIl sill lo q bsloasb
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lo sthod3 slanqoiqqa na fl .iodal io3a1 15iliona baa boog slaibsurzsith sill lo 5111 10 luw sno lauj laill gnimzmaa in vtilaisnsg lo aaol Ofi ai sisill (8311w
a' iod&L .l3ulxnq hail sill lo 311w das iol bsiiupsi ai boog slaibeiinslni
alaoa sgaw liiw 1131w sgaw inaiano3 a Ia 'ilnuo3 ibas ni laubth sill 03 bsilqqua
•q (13nuo3 ni w baa U nuoo ni 0w d nsvig
iinil 03 bsilqqa biadua 3ItiQeqa a aslonth 'a eisilw ba — gnilIsJ
d nevig (1evii3eqas1 si& I baa 13 annil lo alilmq sill laill awohlol Ii (ahoqxs a'b
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() .0 = = '6\'ii6 0 = (w+t)-'q+q =
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Mod oi beinuaaa ,ia anoilibaoo iilidaia bna t8blo bnooe *niwollol 3dT
..i :llado1 () ,O < 3-I+M 4 bits (t,b=i) 0 <3-!+it — ' O> "q+'q
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baa (boo* faith 3d) lo ev•w basmeb c-ievth 3d) lo eqoI8 cii) lo 1i3ilaaIc ciii)
.(&inlI boog-lathI lo ,edmua laloi ciii) n+a — 14
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cii) lo anoi)31w1 89 Icvkkoqaei 1 baa b annit zo1 (&j baa (c alevel
a&nooed 31 I1)iw beliimo ai t) 1803 lathgum 3383111th 10 t-'1 — c lncnoqmoo
1wo14 .(alnsMnoo eu 3d) eotha be))imo eia w °w baa noibo ni cldariav
b&tedmun anol18upe) (.A) mml aevkiavhob laihaq c)oneb 01 alqrtoadu8 gniau
tha)do ew (x1bnqqA ciii ni Its cu ( .A) as () 9tq\(a%.ln)(tn\ba>. = (q)i baz 0> 9'q\1ç = ()b
wb)theninaawoda(t)aA.(()moj10 < 9bna0 <'ciciIw (both 8niblod ba biadua hoqxe 3d) in noii3ubci a to O3fl 3d) ni cascioni
,'q\("f+ 'q)n = Eo-'n on1a ievcwoH .b anfi lo luqluo ciii a&ubct anwIs
71*eirlla 85 a)uqiuo faith 3di awciv 3111 1no baa Ii 80th 1 unIt lo Iuqiuo cdi
novi* buboiq lath 3d) lo )uqiuo Ia)oJ edT .(0 > f+ %q 111 .c.i) aoiuliiadua
conisalla1aawla1,b = iio1(o)'y'n — (q)'Y = 1YciedwY + by — ()Yd (1) thau
() .0 > 4'q\'n = ()Y cub) a18oo laniam in noii3ubei a molt tha b annlt 311a&flOb iciiicdW
.a3luaei )neupoadua cdi lo cmoa zo1 )nahoqmi ed 03 acvmq (biadua iioqxe as 03
d boosl 1603 1animin 3d) in u0i)3ub3t a 8Ql) ebacE 1(d awoda Itsthgho aA
0 > qbY+ 'q(! +bn) :a beaoiqxe 1nommo3 ciom eta anoilibnoo caciff' bcaueiaanoiiibnooowilaifteiff.0 > qY+'q(1+14)bna0> 'qY+'q(1+n)
1ilida3a baa tsenupinu tol baboon ai 38a1 3d) baa aaila3a cviizIaqrno3 cdi n318 01 .((?8Q1) baa (08Q1) cbae2 cea) mundiliupe 10
Q
mill ne 3d) UI %Mf%-o 381113 bluoo pubni loniuo3 £ UI 8m111 ifs
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annft n*ieiol to 3biaiuo 311 siodi nsdw thf1ida-ievo lItmq isbianoo 01 aia(Isna
— saflth irifi ew 1d3wnqqs iiib niwoI1o1 .Jnalano3 nismei alao3 moiiw iol
Isafi sift lo e3nq sill no in egnsd3 £ 10 13e113 sift thuassm sifT .nwo a'sno tud aanft isdio ifs lo aluqiuo sift in a3na1f3 duoidt l3ubmq
isiilo to luq)uo s3seis sill eaus bluow c m noii3ubst sli sviiiaoq al xinsi
— *thi3J .saivrnil)o svi3asn bus (ffioiq baa snq thaizi) hit 01 annlt
th&ldo nsdi ew ) baa (1) niau bus
(ô) b313 +'n = — Y 31811W 9\ = —
d nsvxg ak JlImq a'b unit no c1o 1eTIs sill Q) baa () thau (1) moll snsH (V) (+ 1)(c- = + - =
.\[(+1)a-(n+I)J = 4J\(x)+9) = +1 ) bus (E) 2niau ,eieilw
sill aeubei 1803 1anium UI 381813ffi as (V) mrnI ness ed n aA
eni .0 <+ Iii 1no bits Ii (* flida-tevo 311otq )uo gthhn) b sunitlo afficnq
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euboiq in baa 11 aunit 3shain boog-elaibeanelni 3113 gnrisbianoo wol4
.CI (iinuoo UI 5158 tot boog e18ibmslUI 3d3 io 1evii3eqa5I "ax baa dx aluqiuo
dxdn — dx eiedw mX+hIX — °X d novig sis CI '(t1nu03 UI aeilqqua s18gsiggA
ngieioi halo) ainoa5iqsl mfn X baa nokt3ubcnq 3ilasmob 11)03 alneaszqei
sill slaqiarias 1hft in bits 11 annit eu sgaia UI luqiuo gullies a! .noII3ubOtq
egals bnooes sill mon gUIana boog eisibennsith 3d) rol (Y basmeb bevnsb
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.(ÔQQI) Asda3idua$I bus tsaeq2 es2
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JJJ!2 CC0U qGAQ4ob 4pc qowpc MG4W ccj o tpc npwqA a
t V S1P2A 40 ImJ-C0O E0O14
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couqisiouw anwoq jo poq 8joptiA: !G LOL IC = p'W
40 4p0 U1tJC4 LOL tP 4!"I 8ooq' 5110 )IJOM!IJ 80c0Uq OUJCL miq wprptA
CflT.AG OL 5170 1Ut0LW0W40 8ooq MJJQLC IT 8itU LOL ,,b-ap.cvui' gpoi? iujoonjA
1t1!U8 E — -XDb,\, IbLocu45110 opopciA o 4)10 obo o spo WAQL9O qQwuq
9\9X1 = b(X) + 1(XD) - = 0 (F = p'ui) (Jo)
couqipou: iow (a)'
iucuuoqijo-8ooq &oqnciou 4)1017 uo to jpo (ojoiiMu 4Lt oiqotM)1CI0 Li — Cp8p8q wuq f — C11,+ f,,,- flO COU4tT74W COIIWO( C0U1b0414017 117
= = XD)-fJxw (e)= [L-(c,-e,)1z, = x)-Li,)J, uq
bto o tui p uq in io i. cr!AQIA 1AGU pA= b() + !1L0ll0MtPttIP0
bioqncriou o po u4ouJJGqJo *ooq uq t1,w bocqc jvui wbooq oii qowctic
p uq c OL tW rn tcbioscu , thocic &npiqA bbpsq to qowoc
y9i81uj bwqncou C0842 11.0 nuioq cou4IU( 14 V fOAGI C LOL 1!UJl
= J\Aq" <0 ''% (Xo) = A,\(Aq% (8)
qowuq cmo pw ut tuq ccouq qoqAwyGWA0L0 qcuuq CITLAG = '(XD) + 4p rntouncqltto ooq JJlc WAOUG= x uq jp9rnAoiaoqc4ucb =b(y)'ipicpwwb =
JO
Aq\(Aq = O !I! E = E =q E — -Abb LOL iiciz quq IL b = O 'Pa" b. =
io 2bucL uq Knp!ccpGI (IooQ) qouAc jp pouepb psycw En —
L < '1 (Z L> 1 = - z' v.iiwqu%L kw 3c;t1% tyt (nn ott
t' tI %fl%1 % àO14%
j,wboipou j LoW W1mQqWLGJ) horn= - I = - W\k <o (iO= b(qx\q) + i = (r-&M iuq
+1-E> O!0P(!Uqorncc umiiIu!J co o uv$ooq bwqncpou' hOW i. = b(XD) +
Vg t IPG GCI °L 1P xboLt BnpIq) oil q'c bucQ °L qic rnfoullGqIt bwqncc= qAq\q = - \bj1> 0 (13)
oxbo,.t °L qi© bLoqnc rnn jeo usc:
UZ O flJQ WCUDGqI4G ooq W COfl1Jfl) D q Aq = XD OWQC
jij qic CYbOLI 21ipiq)t imc qjc oj anbbj) y — +
HOJL MJp &wrncuc co vuq uoujiut qcwuq x z1, UJVA jjI1L0l!k0L!L91 = = o)qL-JeAoJcnbnI,vuqz_poiprncl.cewc
ooq nbbpt VLG q'uI (avp!cp pojq 'L " 'u qowQ&L0L 9 - (j) pON 'L qcnmuq i puei (! !L E = OL !L I'
= 4i + VUq qz\qRq = -U - ilp9 n\XtJ\kn (J)rj' ui1qi't *ooq !r ! BOMU w (ve) IPWI
1P ILGC °L ° Ipa h!'-II OIUbIU wonq bbjX so sp joctou °L qorncc UUJJ jr
ptc1 qmonp qowcpc ix OL IU5 *orU 50 qoWQc M0q(Lr V UJJIJVL bOWI
m4LbLcfPou onjq LGdIflL pt DOUG Oh 1G bwt om* to iw iii i cbsnLQq
b1u iocci U' sp qowzc conuA jpton*p oirnbi qict rnActulr JP!8C!LCflWUCG' '1 P bo!PIc to wtthLG ni i pQrn owTU-oMucq
11
.t ti k'ux M%ia* eit i'oh$ iio cd1io bnanIebIiabIodd3ufW I > 31i Ino1oiqthbiaaA
as (bnameb CVMOff 03 baa actht thbul3th) xevnoo 003 Jon ai booa sisibenneith
54110 a1 33fl cdl ais 301 09 IcaIlo 'llsitiaq bi dus ciii 88151301
annlI mml befihila si biadus ciii moil niq cdi lo hsq aunT .boo elaibennclth
(fl .ioioea boog-elaubeancirn cdl ni m baa ii aunfl 01 tobea boo8-InhI cdi iii b
cdi thv,uinam °t cohq cdi aeaactob biadua 3Ioqxe cdl j <'l Ii laat1no3
na3 ew (M) baa (V) niaU .1803 I&nigwn *nnswol in ibiadua ciii lo bdIle
:nnol cdi at tab\b aaeiqxc
(J) U9\UI,4( I) = b\b)(b\rb) = d3udw O < \+I1ikiobna1iaealttftmqabunft (H)mot1nseaedn&eaA
at noii30bet a mon gnifiuda-ievo iIImq tuo cliii ol bctiupct noilibno3 ciii iaul al
iIIotq a'b rn-in no ha lo i3clIc sill iol noiaaciqxc niwollo1 cdT .1803 lsthguirn
() baa (I) mo-il :liReau acvoiq osla
(at) .(\b) - = lo aiiloiq cdi no ha bisdus ciii 10 130115 cdi gnhcbianoo wol4
icb-io la-in cdl aiaoqmi (Q) moil awollol ii m baa ii snnlt boog-cisibem-iclni
iadI (€1) baa (II) gmau neil baa ((if) anoilibno3
boa a&bn+IaJdx = [((\d )-(b\°Xb))'qx + Ii = (VI) = habVa-b
tail alasvci (VI) nczll (O = = Ii .c.i) l13iinebi s-ia at baa ii annut cdi II . > Ii lao baa Ii 'biadus ciii 03 eanoqas-i at eth alflmq boog-claibcnnelth
= I = 'M duiw 53fl18 icilqqua (loqonofn a tol ablod noilibnoo aidT
= -i CVU3 bnsrncb catcvth ciii Iuo alluda ha biadua cdl cnr .(II) motI 0 laupe as bluow aa losIls cinaa ciii aaut Ii 1Iaalano3 cvziibbs as d h8 + (°X)q
> noilibnoo cdi 3308H .((Q) sea) ' baa 3 alaoo lsthgisrn ciii ni noii3ubcrx
iol befiuda—icvo ton c-is alilotq tail (8QI) cbaca 'd iluaci cdl 01 belatct si
cdl atewol ha iiguodllA . > Ii 'lno baa Ii aIe3uboiq boog-Isnil (l13itncbi)
(I nouiisoqoIdl llaoi) I < neulw boog clsibeuznctth 3113 lo a1 c3nq
(1
.Juqiuo I3dgiil 10 uaoed th 131ih3v3n affirnq boog-e1aibenn3ni
iev 5d 01 in baa if aunli eauao aeoaaiThb Moo Ianoiiamn3lni Ii nev3
miii boo-e1aib&nieUñ iove lo hftoiq eifi aaiai ibiadu edi ,ia ni 3h15mm1aa
menil-non al bnamthli zevwoH .(0 = " itiiw ('1) moft) usnil al bnamb1i
ni . > "a Ii UV8 (bi8dUa edl moiI eaol annii Moo tsif8td cdl ladi e!diaaoq ai Ii
noiiiaoqcnq aniwollol cdl ahftmq no lo aloelle cdl 01 beqaci illiw ummaa .bcdi1da3ac ai ' tt't,yq %SUSt1 L *U *IK
.0 <+ fl so tgi to-o'a > 'A' %no i& ( ttu
= —
ia1Iew a'U '(llnuoo anoilaoi1qmi cuufew 11azevo cdl 01 3nilnuT
slaibenneini baa IanlI moil beinac hiioiq oiiaemob lalol ciii lauj i W belonsb
:biadua ciii lo Moo ciii ace! noilouboiq boo8
(81) .mXml + 'X'a - byb8 - iLd1 + b.rbn = OW
moiq .(aaeneielqmoo iol (81) in bebuloni cia l lihal ciii baa ds biadua cdT)
biadua hoqxe 8nfiuila-iaci lainliqo ciii 0 > r(b)\aWb *thmuaaa (81)
aoiiailaa (0 = l = 'a ifuiw) beloneb
(21) .0 = (Lj\by)b - bY - (labVwb)dn + (LabVwb)bn = "ab\0Wb
aa beeaciqxe ad 1kftacu nao 1) baa (14) 3niau (21) 3ninanaeS1
(Os) Qby +
[(I_n) +
bab\YbJqby — bth\bYb b bth\byb
in aleioaid ciaups in noiaaeiqze cuT .bY\[(b\olb)bY - "ab\b'n] — 0 cicilw
hoqxe na lo aloelic *cbzii lo amic3 baa 'ois3aula biabnaM cull acwiqao (0) na 01 inlimia 'iev nnol a ax Ieium aboo-lanl1 ciii mo-ft Bnitha biadua
Ma! edT .((8.A) noiiaupe 1QQ!) daiuz1T baa andan)1 d bevncb noiaaczqxc
cdi iol lcham ioxnuo3 cdl b conelaixe cdl lo c€uaoed acaha (0) lo nncl
.boo elaibexxnslth
abófl. 'ebail to amieY bna '31*et1da edl lo noi3anaIqx Iohd nio2
oil) lo )oófte 3i*oMiia oil) *)noeoiqoi (0) lo miei iath edT .bein&izaw meoa Ii ab\qb)'Y = b\Yb &wiiE .1 annft n*ieiol oil) 10 Iuq)uo oil) no bi8du8
lath nuiuaiie (ti) mml 0 < Y nod) o)u3iJadua 3xeIa138 aa aluqluo woiv I &inlL
03 abir4 aidT .(0 > b\Yb .s.i) biadua oil) 03 eenoqaei ni allal )uqluo iloil)
iol lnomu$u (8Q1) ieoaq2 baa iebaai oil) lo eoiuoa oil) ai baa 0 < Ii (ô8Q1) namaacnD baa no)a d Juo beinioq aa ievowoH .biadua )ioqxe na
no nhovil 0 < habYb ,noifi aJnema1qmo3 31zd8 as aiuq3uo weiv I annit
enD nail) oi al oiodi nodw niana 3oelte tthgd lo annele ouT .xa) 3zoqxo
as3 annfi 3iMornob eoni2 .(0) 10 snio* bnoaea oil) ni beioeflei ai uniI 3ijaetnob
aun1t oiiaainob ed)o lo ahoqxe oil) no ahoqxo uoih lo 3eIIo oil) 10 flU033* on 3Iiaeinob lab) aeaimixam lad) level oil) bnoed ahoqxo abnaqxo b mill ibao
oohq hoqxo oil) aiewol noianaqxo silT .nevii as Iuqiuo nioio1 gnth) aliIoiq
oriiupoi bluow enols noihoisib aid) lo noiiaeiio3 .ebaii lo anne) oil) nineaiow
.xat hoqxe as oil) d novi* as aI3o1fi 'ebaib 1o smio) baa 'ip)ai3a' oil) ninidmo3
11nnol oil) ni sae1qxe 0) ovibiniani sill ,(O) lo suuno) ow) baill
(lx) ('sb\Th)\[0 + = as lo oneeda oil) a! (-,Y)'q-
— ,(ô) mall oieulw
(1a88o3en ai0 < Jail) awoila (!) bus 0 = 0 neil) )eI1am boo*-olaibeunoith
luqluo o)aeip edi eauar bhuow in noiiouberi *11.0 < o1 )nei3lfiua baa
Jomuo3 oil) eoiii. ioI b01113 ax biadue a (O <Ii .o.i)lla1 ol annit ieullolo
oil) lqquaiebiw bluow (n,vi* as annit iodlolo Juq)uo oil) athuid) annit 3iiaomob
— ball $nills3o1 .noiiaximixam iiIcnq iniojlo )nioqwoiv oil) mail )eham
'lno baa 110 < lad) awollol oala Ii 0 = 011 ) mall 0 < 9 baa @) mail ,bn I + 'q("'(+'q)n = abeaseiqxoedna3 o (ô)moiI ,03n2 .0< 1i
03th8 awollol auilT" = (t J)(,b(1..b) +,Y)'q = [(bab\bbXIbn) + (tth\Yb)]q
weiv annft n*ieioi 11 (1no 8vthaoq 3d na Iazfi flua iailimth 3dJ niaJdo 8W
lanoiiibba nA .(0 > "+ 'q 11 1no .3.1) a3iuhiladul oi3aiia aa aluqluo
lnbvelq oP 118m8 (I3nbi31fiu8 3d ainifi 31388mob lo iedmun eili iaili ai 3nmsiiup w bnambb ii e1qmax3 io1 .niiathmob mcxii 'bbIib 31)813 lo ann33 8113
.0< + = DupolbwlabmI boo-3aibeane3th 3111 d boaua3 lbeii3 lanoiiibba 811303 3oqsi jIJiW
3vtiiaoq 0 nivad 1aup3 3813 lii (1) io (0) mcxii neea 3d fl13 a ,ibiwn .0 < .i) 'bi8dIm a ai '(3iIoq hoqxe Iamuiqo 3113 Jaili 1s1il om 31 1am
:aa b38aelqxe ed fl83 0 1) bna (is!) (0) mo () .[(b\°ibro + xb)'qoJ- = bY[(Mib)bY - (bvwb)an] 0
lo aJiioiq 3113 iai bi8dua 3zoqxe 3d1 Ii Jail 8wolll () 1thahcpu8 Poi4
1evewoH .bviiiBoq 0 ,iam 0381)1183 lIdJ a133u1xnq boos 831ib8ffn33th 3iI8bmob
-Ianlt moil beflida 81 iitmq Paul 1n83x8 811303 leaiio 11aiJiaq iaael Ia ai 338118 aidI
ohq 3dainob edl in 388313w na ifuoid3 aubmq booa-83aibburrnlni oi boo*
.('3i3naup in 38831381 na ilguoidJ 13Iuq nadi tediai) boo* 83aibenn8Jth 811310 i ooi Ion ai bnamebii beaaeini 81 °i ehq 8113 1 noi3iaoqoi mcxii woni w aA
3i3amob 0O1 81 vtiaubth boog-e3aib81ln3Jni 3d) nedW .(! > 1i .e.i) xvnoo 338113 bib iadl (1) niau () molt awollol ii (0 = tmn bna I = o n3dw .8.1)
aaw1a 81eoubolq boo-e3aibeuine3th 3138311101) lo aiiloiq 3111 niaiai m ba lo 3111 Ii ,381131103 fl .0 < j\I = (babvixb)q = 0 gnhfRm aeianimob
Iev8nedw bY 11*31181 ('ab\°-ib)- = 0 nail nZi31o1 (1 3118 8i b003-slaibeun3ini
sviliaoq 0 *nblam O > bab\a.ib Iadl eldiaaoq sill 1evbwoH .beas8ffl3rn 81
.3813 ngioiol 0OI 311381 113V3
3111 1&nan ieqaq 81111 lo anoilaeup Iaiiueo 3113 lo o 03 au agnhd suiT
no Paubth boo*-blaibennelth oiiaemob a nauti 131138111*13101 a 3nivad lo 333113
.aeaoqmq *thflida-In&i tol 83tOqxb boog-tanit enibiadua 01 bvxlns3nz 3ila3mob 8113
[(I + bab\) - ((b\d>.{bth\UTh))q + I](bYVX) = 0 onia swo11o1 ft1))(by\rnX) -
bIILQIA qowcvpc
bLoqnc; Mc couviqci. tpc civc in MP!CP spc utouucqvtc4ooq uqnvp1 iv
pcpc cowbiuvon itxp qic etwuqviq vuvviv wcotbotvqn* oujA ipc wvj
qccuuwiu spc vi*u o pc czboij vnpvq) nvcq ot IJ1-vpuju* bnthovcr
urctwcqvrc$ooq mqnv& NJ7ctpoL qOWQiQc OL t0Wik ou IPQ lwoiijpc ucx dncvtou v qic cacct o qw bzceicc o v onuio
bwqncciv icqnccv viA qomcvtc Sin ow vucxboig vnpvqA
nTpAcJ) bvnvpjc q' tp't pvwS bwv jcvy to LoicRu ucuuGqvo-tooq
qic qowcvpc IUCQUtIAC tOL ipc vnpvq) .LW' Woboe!t!ou 3 ccuiuiiv tpc
cqncpou in qic bwbotpou 0 qouvqc WtGuThQqVtQ-*ooq bLOqIICcU muit joct
viqiq uvj-Sooq cxboqv vi vpicq go wtcuuqiwgc-*ooq bwqncctv v
Vi J,Lobovipou 3 pu vpoIiI? q vowc o gpc biov Suuoq
> o eiucc = qic touo 6ED
qili iiJJbpcv q3\qq1zw = - t !nncpvuScq cuvnuuS qmg j t qJ\qv vuq q,\qvq vic nuuocgcq jow (j
LI: Hojqi 140 cq' qi', = - qu1 J)ITj Migp 9, = Ø tfl O$PL Av1tpJGv ILC
%fl%1% %1% b.o\t tO nc.Zn% t1$ %*tUtI to %'p3i%-%OO OM% )1W3 OVçh
IV t bOLtOV t.'%OtU tO 'OW&tt %It% 6\ t flflUVOtOO%%OV '4%ThW 9 - = = %*, + U fl\L '4V flIU
o gpcvc nnm pu no cjjccg on bucci OL ongbngv SivqA vimbpw* gpc
covgr pi gpc vpvcucc o ccicucA cccgv v cpvnk in gpc oMucup!b
Iow ccicuc) OILCCfi p) ,unwmS qiug wgcuIJcqrvgo-*ooq VUJJi p vuq in piAc
ocnv bnij) on gpc mc oj gpc nuwvc icjbicug o( qic bwv c vpvgwcg
qowcvgic un poJquS gp rotwi unwpct o ugcuIJcqivgc-Sooq uu 2° Ii
j,toboupon 3 vqqcucv gpv ivvnc p) vnbbo.iut gpi v oicitu w wbjvcce v
IQ
VI
ti38ubnI booD-e)aiburicin! 3ita9moU 'tbn#I
= .e.i) 3daemob 11* cia &znit boos elaibeiwzelth cdl lash niaoqqu
ucihi baa (Is) ni "9V'M- = bab\qb baa ((SI) mau () moñ) "4j\I = 0 *niau n niaido ew = bab\bYb gj5
() 'n = 'M iol 'Y\['x + Y]- = (bab\bfb)u9\[I + MJ'Y = leimm boo* ciaibeiznelni us lo cncada cdl iii JadJ nilla3e$I .4o = 5tcilw
cdi alncono3 t' aoii1aoqoi 0 < bn3I +n — Ii Ino baa 11 0 < i3aubth Joinuo3 i3aemob 1cwq £ nedw thshs anoilibno3 gnlbnoq8cno3
.boog claibennelth cdl aciIqquB
% t00% JUU SI % (%%)I% fliiba '0*W03 cdJ . 0IYI ô1u'
.0 <t o\ 'uu.a %o1 t 0 +\ = . . 0 < \1Tt t'& 0 <t 1Abao tn K (fi
= .t0 <+ 1J 01( *N t%-WI0 cd
0 <\br 0 <t ncd 100 < i-¼ - 1++'s j 0 <t (
= 1\ (11) .beiiupci Jon alO < iud 0 < \n = 11 0 <b$ (t) mo'i1 (1) :jj (d) baa (a) oe (babtbYb)\[(Idn) - d(+ I)]by = 'a = 1111w (Es) uioiI (1 +'n)(I +n)JbY = b* coals woIIoI (d) baa (a) 0 = "q II (iii) .(U) mon wollol
UaQ .(I +T4)\en-I +a) = ifliw () mon (I +M (Iab\bYb)\[(Idu)bn - i viiaubth boo-e*aibeaneJa1 ciii nedw liii awoda (1)4 noiliaoqoicl
molt 1icvewoH .0 > Ii neve eviiisoq ed nao biadua Jioqxc cdl iiacmob
ciii si doiiIw 0 < An+ I = + I Jail' 'maie3ea ai ii (a)(ii)I noiIisoqoi
113111W ni eaao Iaiaqa cdl a! .b aanll iol niflid8-ievo iftmq iuo gthkri noiiibnoo
cdl Iadl aeiailanoaieb (d)(ii)t noiiiaoqoidl ,Iaioqonosn a ai ii mill oiiaemob cdi
boo-1anft olaemob lo 8IlIoiq cdi caael3n Ii lath aiO< iol lnemaiiupei Ino cdl niMujba d eauaoed Jnavelei Jon as iacav(aq biadua cdl lo iaoo cdT .aanit
81
ol Iaupe lauj alitoiq behb ew1qao 01 eldn ai lailoqonom edt ,beilqqua v1iinaup
.'ahoqxe lo 'Y = 4x Qi1n&up nevi* a ioi lnetw(aq 'biBdua edt ni eaaeini cdi
eviiiaoq ai '* iaenil al bnaweb nedw eth b annit boo-1an11 lo a1itoq cdi e3n12
iaal aidT .((hi)t noiiiaoqoi cea) lailoqonom 3ilaemob a illiw 8883 iacuil cdl ni
aisdinun eviiaIel cdi no bnsqcb Ion aeob Ii eaua3od niaiaadqms dhow ai IIuae
.aunfl boo-1anlt nieiol bna 3Iisemob lo belimil noa iebiw eldiaaoq won at Ii noithoqatl in lao lea aA
boog-lanil ii ncve eiillew 3ilacmob e&ai 01 biadua lioqxe na ioi anoilibno3
Ie3 ainetnelqrno3 3IgelzzIa aidi iii � 'nil .alnelneIqmo3 3i 18118 eia atuqluo
beftuifr-ievo ai iltolq Mdl uwoila evad (ÔQQI) ici1alidua$1 bun icnaq nedi
ibidw) I = n ii iovewoH .0 < lao aelin (ii)t noiiiaoqol molt d3u1w
molt awolloi ii neili (Iel1e eb&zJ io aimel on ai eledi eau83ed 0 < aiovil
1110 < twft(11.A)
(lS) .('q+'ci)n(I+4n)- > "q'+'q Ii neve blod bluoo (l) anoi)ibnoo iebio bnooea cdl molt 0> "q'+'q s3nia
cbiabnnd1ifghcdinedletha,1 =n=niiIelifciomaiaidT.0 < cf+q ii luiqled ai Ii noiiiaoqoi d be1cfl5I aa oatA .eviisgen 8881 81 () lo . molt lncieThb ev Ion ' gsth1rrr alaoo lalimia cvad 'l bun U aci11nuoo
0 <t i% . = = . ttoics 01 00% hu � \(> ( (.)l WO r + \\\ > a > > � .
1WVc > a> n=*s=\ i'WO +\\ > a>\ .0 < \ + +'\- — .t
= .)j gniau O > 3o-'nTh alneinelqmoo 3rg8181i8 818 aboog hull 831118 :gfl i'cioI 1+ii+'n> a> "ii+1n = = iievzdew 0 < a1+n+bn acilqrni d3idw t\(1 + 'n) > 'iV ii 1no blod acilifaupeth eaedT .I,b = ji baa
= (QI)inoi1bna'Y = 'x = 'ab\',b 1)moi1ncdI ,1 = =
ou fIG GZhOLj tnptqAcc tn) (ioot) LOt tUtJ)tIt OL fIG LLGC1 0 fIG jGAQJ °L WIL8JUt CO8(
LGfflCU fIG wduitnqc' OL uHf ttI8UI* fIG (U - AA 0 fiGunbGqcI cowbgiou uitpc j(b) < L,k') L' mA iur unpmq) JGAQJ'
CLG84Oq CCtUtQ qio pipct bucc cjmtq jot qic IUtcuJiGqittC btoqnci nuqci.
pqpu btoju 40 fIG !UICUJJGqJ8IG &)Oq tnbbJICLt HOMGA1' vuJpim4A !8
bOuAG 4CLW' UtUJGft' MjJCp U°t fiG CjJGC1 Oj 80 GXb0L4 unpeiqh iii
() Miqi ( it 811D!Jti 10 L0U 40 L cccbj *ptt it put 80 uqqipoutj
MJJICJJ !8 bOtipAG !L uuq oujA !L o — = u1+ J-°E0-14 > 0 CWt)UU
3q Aqo)3o\Aqo)' ()0 uuq qb\qu,1 = -i m (j)' fiG obqwuj cxbotj unpcqA
combC1AC ,ptuc cutc, ititpv unbcz8cub( 1G1O' tpcul b0 — C, - 8q euq 8Gt4!U a
umtutj cout tcqnc'uS fIG UJU!tPqG °j jutJ-*0Oq CXb01481,, DG10fWS fIG
cOwbGppOu 84 fIG 1IJ4GWJGIt4G-O0 RMG 8QUC8 10 1J8G fiG bqcc t tpOAG
t bijccqA cowbc mc couuuu cou uqnui) JP!t !t pcctnuc wbQLjct
HICGUI!AG jOt 80 GxbOLf toptiqA IGItt!AQ (0 ptAuJ ipc iuictwcqiu-tooq bi.oqnooq
CowbCppOu pc Iu4CLwGqitc-ooq 8MG W8 WctcvtGq (ot tGqflccq) ipc
JJIG VpOAG uutj)uta !u 004 unwcioug to qctci.wwc MPC(pGI. comuOr
7 uuq U, = 14 = 4111 COUqI(OU8 (!) 01. (!!) (5ED
4 VHf I\ <B' 4pGt1101 < F co jOff0M tQ1fUS)\A =<UQ + UJftLj) COUqI4IOUV (ii) tiC &flWC!I( 810CC Tj u1(u1+ j) <)tq\A1
+ < B (!G 0I11iUt 1J 84'8M!° co1iiG11Ist) 1I > 0 uHJCC E
tLG VDWCIGII 8111CC !L I q\A < 3 Hf '1\ = U1+)q?1 < E 1GU I\0q = 4
MGLC }q\) < ,iubpGt i. — (3-A\))\[u(u+i) + )q\AJ > 0 C0Hf!4!OU8 (i)
q > 0 i1 B < (uo.)[u1(u+ i) +Th[u(u,+ i) + ?\?tJ =u + .'7' G Op4tlU
> 0 !I.LE < [u('4+j) + 3]\[Q(1I,+J)+Q] 11801* = Lot U =
uQI+i) < q\ < s jot; = r 4.1 = u,q; = 1' t' (vii)'Jo
B( JIBJ( $)JQ rntctuJcq1vj-*Ooq WVLrQt.
+!Uq> 0 !B BSTIJCJQIJt (OL h> 0 !L (1 °"1 !( (1OUBtC BflbbJJQL2 COUtLO!
UIJB j,wboBIpoU (i) (ecc pcJoM) B0M& pv iii v J1UIL quiuq U =
EXtq!U* qnB BUWJ)BIB to IffOM (OL potJI (OWI*U 111(1 qowcec UuUcq1(Q-*O0q
ccbi.c,ou 0( () LGAIB tp* ip' !B uo gp ci MGU tjj anbbpcu vtc
u* 0((1GUJIU(1 couqtpou wcJnq!u* 1!" qwuq (bLobotou y)) jpç
BiG III (1OWGBPC (c j,zoboipou 4(1))' aiuc q1\qa lB bosipio flU(1GL I
= V1WOfl1 — k' > 0!BBITWC!tLOLh > 01PflbbllQLB= Ag[4n + I (3En)]\n((1Aq\(1Bq) ()= Jiq[\314n - lEq)]\4n((1Aq\q)
cxbott npB!q rpcu pjjo = -(D\F) = -(I-E)\ iu = o iLOW (3j) nw* (I4Y tpc obtimq
IUtUDGII *00(1 BiG Wt!LGI (OLM*u' i pjjo iow ()tuq (I4) tpvt
jnu,w* to t COUBIqGLZtTOU o oqit xwu iii pcp bioqncc
LOL1*U I1GUuGqT1fc-SoOq $OqflC2
Itt [(14+ I-E)+0.EI3p1\u, < E0 (iED
ho> O!Lt(+I1q> EoH3q >LWW ( h > 0 !ttU+I-> [-(1i+I-E)+u,]u mtq iow (J'
O1->o.
W flZ% Ufl% t'd MZ%V1 > 0 (fl11(OTc*wot u towrnt to bcAtt n n-%ooç
Q %nbbO% \ = =
COUqIt!0U lB IIMIAB BUTBIJG(1 MJIGU qGuIluq II flUGVV
CBBGB IUMJflCp4pGGXbOLiBnpBlqAlBb0BIpAc'I8BGontwJ,wbowpcUQ JJIB
C0111.UOt WqflBfl) bLOqnCIU* (JIG JUIQLWGq!1IG *00(1 MOIljq WCLGIBG (JiG IU*G O(
JJJG *CUCLIJ COUqIpOU IIU(1Gt ispicp (JIG IUtLOqIPCflOII 0( I (1OUJGIPC
WlIGt (OL (PG JU!J *00(11018 (0 IILGCL (JIG A!JflG OJ U W1I1AG (OUQ
8111 ilqqu I8ioqonofn n$i81o aibkdw ax aa 5111 gansbiano3 wol4
nsdw lath awod8 (ii) noiiiaoqoi11 (1 = = MM .s.i) boos siaibennsith
nnaqmoo aui1T .bsxai sd bluoda hoqxs boo-1an1 3ilasmob iaoth1 Bk biwnsb
iii i1oqoiiom nwto1 £ 01 3ilBemob a molt hula a (d)Qii)4 noiiiaoqoL illiw
molt d3liwa ol 'iloq hoqxe gthilida-Insi sill asauao '(IqqUB boo-s3&ibeuns1ni
() 10 noiaasiqxs iaaI sill 10 noanaqmoa a IIaiens stoM .xal a 01 biadua a
sill (Iqqua affIñ 3daemOb 11* naIl tsiliax n*istoI ila nivad lath alasvet () 1131w
baa Ii ahoqxe boog-IanIt sibiadua 01 svilnsni sIl asoubsi boos slaibsnneith
baa 'taaasoon i 0 < (i1) 01l8 q molt 3tha .0 < "a-s Ii i1no
aidi wieilqqua boo*-eiaibeanelni laollnsbi lo alñoiq sill saiai 01 ba tol insiofflua
s3iiseozq agisiol tsiast £ 113111W asbnu (€ noiJiaoqm 881) noilibnoo sill Jaul ai
.ahoqxe eaibiadua 01 evijne3m sill atswol 1qqua boog-slaibsunstni ax
.0 = "q, . hriooI .0 <t I M � t%1 0 <4+'ai =
.0> tn = = usd1 0 = "qi! .(bab\bYbr\[04 + "MJ"Y = '1 Q4) baa (1) motI (1)
baa (th101 = JmO baa (M) (1) () moti) = 0 baa (I+4)\ = s3tha awoflol Iluast 8111
(Vs) .(bab\bYb)(1 +T4)\[(!+w)(1-) + 14Jby = nialdo sw O = ko baa I = = 111kw (Vs) mot (ii)
UIQ .0> (b\bYb)(I +14)\bybn = 1 sth'I fl2i91&I &oaobua 2
sbam ai boo* staibeunelth sill to 'i s3hq nisto1 sill noi33ea audI ni
'(tinuo3 iii b annft as IIsw as 1 ml aun?t laill nimuaaa d auonsobns
.aieilqqua lb quot emsa sill molt boos slaibeansith sill sasibwq (I
boog-lanil sill lnsasiqst ol t = baa ('o) = nithW Ii (() anoilibnoo astno lath sIt molt) '(lsvibeqast 1 baa b annhl lo atuqluo
tall (4k) ol lauogo1ana awoI1ot
(8) bna 0 > 9%q\b =
(be3ninge€) edJ in boos s3aibeirn&th edt o 1qqu diiw bnafn8b ni3aupe 1lxeM
btii 'X = (11irY bna aX = (iY gth33e .e.i a3eiiam tiaieiol bna aiJemob
+ X1X)4 = oviu bniunth e1bvth edt aenlIcb Iauocim1Iumi8 gthvloa
aA .1evi1eq8ei leiwn niciot bn& oil8emOb edt in (X10X)'4 = 'i bna
:acviiavhcb Iaihaq ovad'4 bna a4 ,(I .A) in nwolI8
,0 > n\q = '4 10 > bn\bq = a'4
(Q) ."cf'+ 'q = '4 baa "q+ 'q = a4
i1qqua tnuo3 eno na th eaacith na 3&dl acilqmi (2S) 1bebeqxe ed Ji1im aA
c3hq ciii tail baa inuo3 ladi ni c3nq B&ubei aawh boo* ctaibeimelth cdi 1 hid 1achzdIi8du8 31p1f118 cii BhiJqhiJO booa-IanIt Ii 811*1081* (iinuo3 il3o cdl in
.atnomclqmoo 3tpifd8 cii edl Ii acth
01 bemuaas cm aicouboiq boo-chaibeiznclth 18i81ana cdi iIqmia oT
lud iiieinob baa nicio1 diod to nieio1 Ha 43dselnob Ha teduie ,IaQiJnebi cci
cdl diwnllaib oJ I baa a ihqhiiequa cdl *ni8U .alaoo Ia3iincbi itliw
te3ulxnq boo-ciaibcunehth 1athqi £ 1boog eiaibeunctth ciii lo noitanilacb
3 baa % aiaoo Iathwn ww3ni 1nieio Ii in = i baa aiiaeinob Ii ii = I cicdw
baa Cl achinuoo oh boos chaibemichni cdt 1 "i baa x aciiibnaup ni1qqu8 in beeoxe ud1izn ° neil 1(m = ii .e.i) ngieio1 ai I unit II .1evil3eqaci 1
auilT .if = 111 aiicv-eiv baa (i ol 1 vihnuo3 moil ahaoo hoqanint lb eauaed
d nevi ai hiloiq 8'i unit 1alclwn iliad at aelaa lb lnuoa gniiid
(0) .miI = I iol "x[ - ('X'X)'4J + Wx -a+('X10X)°4] = I unit ibac 1icliem ibae oh i3cqaci ulhiw roiv&ded lomuo3 gthmuaaA
seihitnaup cvilcqaci cdl b(a1 iftotq eimix&n 01 'x baa x acililaaup cdl alca
cdl ml x baa inx (0€) mcnl 1eoneH .nsvii u annlt tedho cdl d beilqqua
:anoihibnoo telno iat11 cdl 1aiiaa innit laoiinebi
baz, 0 = bi + % - '4x + Q4X + a4 = —
(IE) .0 = - 1'4x + °4x + '4 = —
.s.i :boftaiMa ed 03 bemuaaa oela sta anoiiibno3 isbio bno3es sliT
(g.E) 0 <fi) - 's& 0> 1Lic 0> :w '4"x + 10X + + °4 = baa i + + = 1T sisilw
:'at1oiiibno3 3ilidaIa sdl saoqmi sw noi3ibba ni .'1U = ,i baa c I ioI
(SE) 0< —'HiuO > A0> A + + 4 + — 'Abn&11tQX + 1114!X + 4(1+)
— 1'A siszlw
.iCI = ji baa Li ioI
boo* sialbeanelni eif3 lo 3i3naup sdi ,(IE) moil neea sd na ibod no iaeIle all lo 3nuooa 3niial boaiunslsb al i3nuoo sno 'na ,oI beniisob
sia boo3 slalbeuneith sift iol al3tham 3113 d3uodlla auilT .r baa °i a&thq 3113
aaoledhevsn su vodi ieThb nao baa 'i asthiq sill lath snea eth ni beJnemsa
ibum wod ol aa &znlt boo3-olaibeansith sill 10 anoiai3eb slil dguo'uli bsbsnno3
d bnuol ai beilqqua asiiiinaup sib no 'a biadua sib 10 belIe edT .Iqqua 03
ChXIlM = aX = y () 3niau neil ,&nzft 4 sill ioI (U) 3rnlailneleThb 11a3ol
niaido 03 = = 1Y baa
t*w 0 <H\A- = = b\byb (IC) .WH\AUM = babVXb = bab\Yb
boos olaibeanolni sill lo on aeauao aawla ba ni ssasioth na awoth (SE) nA
thoqxs boo3-1anlt 3ilaemob sxzsd baa 3e'ham 3ilasmob ciii 03 beilqqua 3d 01
neil i ann d318) 0 > A 111111 ahoqxo boo3-lanfl ff315101 oalA .eth Mum
.0 < 'A 118th baa ('1 piwoo 101 beaiiasb lix tuqluo all asub51
edt mdi ai siam 03 lnioq lath sill 1aia(Iana 518118w sill ol 3niznuT
lo 3310113 edI iol (21) noiiibnoa tetno lath sill (81) noil3niit siallew 3Iiasmob
auovq sift moil be3nwl3nu sia tol (0) nozaaqxs Iltisvo sib baa
moit lboiib awollol E noiliaoqoi11 1noilaoqoiq Izxlns3 iuo s3n2 .aia1ana
+ '4x + 14 — stsifw .r(I-"4) + fr = A taut sloM ' a'4 = siedW . (1-"M) + jT = 'A eouiia A 03 taups IOn a!
"Ia 4 x + 4 x +
.Iobom bthniqxo audI 03 abnsixe t noiiiaoqoiI ail3 noi3aiIqrni sill aad audi (QI)
boog-el8ibennelth 3laeInob bna ti*i3to1 iilod sia 5i3111 113111W 10 sa sill gnbtal
ol i am flew am 'i iniwolia hilt awollol 31 a1ao3 lm3ilflsbi ifiiw aieouboiq
sill lo qidrioiiwo nieio1 sill m samel3nl am 1auonsobns bsninnslsb
atioqxe boo-1an1I siibiadua 03 eviJnsni sill asoobsi ilaubth booibennslth .bimdzja sill moil honed bluow aieoisbmq boog-simibeimsith Ii 1no baa 11
aug aieoubmq boog-ehaibeiinoith 113111w iebzw anoihibno3 ciii isvswoH
— c ni asgnaIl3 88113w am 't ni aognad3 no bnsqcb won biadua 3111 mml
aloft .s.i :ieimm 3118310Db 511188113w am ngwtol sill ni bsznas a3ilozq no bum
mil = 31 tol 1(0.A)
.[(bmbVhtb)six + sb\b)10x](1-4) + Wi = bab\b
ngwtoI sill ned) (1 mill sno naill 3101081 310111 .3.1) 1 <UM 11 woda (?.) &A
na e31ain oh abnel aid) afl&1 't II .bab\b tot tehlam ni aegnsd3 baa isthain
Ii eneH .meth 't Ii I8ISV 53iV baa 31 annfl sill tdl ehdahflotq amsl ha in 388313rn
sill glIflebiatIOO 10113111 (i1 = 3111 .5.1) 3118sin0b $188111111 boog-ehazbeiznsirn sill
na lnuoa olni siah 01 been bluow plnuoo 3IlasmOb 3111 i1oq gnifludm-lnet
am flew am ngietoI gnF1qqua ni enensqxe bluow ii aunll iBdi aeaoI to aniag
.8133Ub0tq boog-Imall 3ilaSmob
all anfi Ii 'abVb tot aishiam lsiiam 3daemob sill Ino 3aai3no3 a sill 81 ((VI) moit) 113111w = 'abV'rb aeilqmi (?.) 588381111 a! .Ioqonoin £
ax Ioqonorn sill Ii isvoeioM .auonogoxe'i 1111w benialdo am noiaasiqxs 51088
:iznol sill oh asoubsi E) bum (21) gnlau (nsdl ,(il = 3111 si) oxiasmob
() .ab\bYb)\(amb\bwb)bn
ab.nehxsaudT .0 < mb\brb1i1nobna1isviiaoqai (ôE)moi1 nssa sd nao mA
sill ievswoH .auonsgobitc i 1111w ammo Iinsnog stom mliii ol (ii)4 nou1iaoqoi
baa (I) moi .i ni aegnado d b&ooTta sim 0 < "mb\rb doudw iebnu anolhibnoo
nialdo ew (V)
(V() ab\'ibX'i6\w6) + (ab\cb)(+ = bab\hrb
nmo 31 0 < 'q\("q+ q)bn = ah....b baa (8) ) (I) molt etsdw
3&fIi IIWOIIE
(8E) —
.0 < nt(3- bj)b i Ii bviiiaoq i ikikdw isnei IIIIOiJIbb& na awl 'ab\rb 1) ibiw (Vs) gnnaqmoO
aJ3e1 bill lo noilavneb bib tiupei ailuaei ieithuq .a1l1 i Ii evilan him auth
baGi - him 'i no biadua eztJ lo ((VI .A) eea) d ,mvi q1 belle na awl bidua hoqie iiaeinob edT
(QE) .uH\{EU4ux + 4X]ii'q) + + 1n\'qJ}"1 = = 4 him "q+n\(I+1n)"q = — riwlw
etnas eill evad 4 him 4 neib (U&na al q\"q ladJ gniaoqqu8 .(II.A) moil
.awollol 8 noiliaoqoL ."q aa nia .% Wzo%
.0 = 0 = .0 <h,k\ a 0 � \-\ — Um 'i"q w 0 > "q'
neib llama q\"qitliw 0 > quI (ii) .aeifainav (Qt) nedi 0 = "qIl (1)
audi (QE) moi1 .i(i = j1i sol 0 > 14 baa 0 > 4 (M.A) him (Q) inrnl
C139 .0 < 6 ml 0 < babb aeilqmi
biadua edt lo alaeTte eiailew cdl sol anoila3ilqmi au mail haqA
3v113a cdl lath awoda ii eauaoed *niiaeielni oala al 8 noiliaoqmc ,M& beaau3aib)
na aehlnuoo diod ni boo* eiaibearieini cdi lo aiczlqqua etnas cdl lo lncmev!ovni
cIqmaxe io9: .biadzja lioqxe na ol 'ilo noiiaei cdl b$1u1d3 (Ilnaaiuinia
a ibiw ibae nakeso1 eno him 3ilaemob CilO annft owl esa cicib mdi caoqqu biadua lloqxe 3ilaetnob cdl 0 = "q ibiw nedT .sbnuo3 nwo siedi ni Ioqononi
cdt sol bnatneb ni8tol gth3nbei flit ol wqluo boog-lanft fl3iclol eaua bluow
trOqXb 3iiaeinOb eu eaeupeanoo & aA .9i eoubei bluow d3idw boos elaiboirneini jq mail laadno3 '[ .ahoqxc *niaiai ni evil3eTle met ed bluow '(biadua
ai 9: ilnuoo in bIoa boo-e1&ibetinemni cdl 1 (ii1naup cdl neifl 0 = "qli (i)8
.3n*1no3 amami i JadJ bub31 (Lnei3fflu8
awode(8!.A) — noobeedio3bqa91diiW (04) + A(bfl\CI))uM =
A-'A II .(t.€.A) moft -' — ô iol ô'1q - 1n\(! +'n)'q = A-A r13dw
oio eih aJathmob A 330M3 iib 3di Ii .e.i) 0 > bna 0 > (04) mml 0 > b\qb nodJ Iu1ii8du8 3iVii8 3uqiuo lanil bna
noiJoub3l bn * n3h3qx3 IIau3* bi8du8 31b nivioz b ann?t iaifi n1woi1a
e) ailqm1 (0t) n1ft uenil *1 bnanisb Ii mIu3iIzaq a! .3803 I3niam in
taili ((Qt .A)
(fl) .0 < (1+"M)\! = = b*b\OibiO> (1+V'M- = lull m8nqiUE lou 81 Ii UIU1 81 bfl&fl3b ni1w befl&13nU 81 ni2 (44) 8e8) 1*uoneoxe Ie* 'i iiliw beniuldo e*oulJ ol Iaoiinebi sia (fl) anozaa-zqxs
.(1+LtM = "9bnuO = ñliw fl338 3*d 81 flO &,oneobge "i thvut 10 leTte llaisvo cuT
bnu (E) gthau (QI) mozI :nnol *niwolloI ciii rn biadu8 larnilqo cdi niaaciqxc
thaldo ew () () b\bYb)\{ab\ib)S6\br6)bn + 0 + bf]by) =
81 () lath aluevet (!) iftiw (4) 10 nothsqrno3 A .() d 118V13 81 0 etcufw
cn12 .bBb\ib *thvlovth intel lanoijibbu flu aud lud (!) 01 miol th ialimia
0 < bubVtib li b eeiaz 01 *nibnei eviiiuoq ul rn-id uhdi (8) motI 0 < ti6\Lr6
o = bubVib Ii eIqmla (hu1u31huq 81 eunooiuo edT .0> bV'b Ii evila*sn bnu
bab\\b gthulea 3813 8111311! ((1)8 noi3iaoqoi ces) bnumcb tuerni duiw uiuoo aa
> bV1Xb acilqmi d3udw (Q) baa (U) moiI 0 > A ncull 0 = "q 1! (It) mofi 0
'q darn 01 8808 abninuoo 88013* (1lfl13ft1f1g1a icThb 83803 lantgt*rn 1! ' cdl cla!oiv ion been eldT .0 < A-'A eldisaoq 81 Ii cviiucn baa eia1
al 6'q + b11\(l +'n)q = A - A bebivoiq (tt) unoiiibnoo v1i1ida38
.eVilaen (I1fls13fflU8
evad ow en9H .(1) 03 oubo'i ()) )ad3 nwoda ed fl&3 31 (1) $n180 baa 0 = ni out nisnenoo a3hiao woiveiq edt us Iadt nolia3ilqmi oldaiwnoi iedlai edt
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