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- Lr-zg+!=g=(zx)p oqsu z7+17=(zx)p
ells ruIru afg + e;zxI e o:4
v (rx)v "- = "t';"""'- = {'X lO 't ('x)Npqdatt e
tJ=LJ.Z-17.g=27-g=(tx)5,1 oqau U=(rx)N
e > ,x > 0 ord ol tx nzal ̂ ells lurqru^
t7.g=y=zg+rg
(S Z lqo) ueld 7ru ord 'U r.{B:r s{lz nnu$o^ oA rurud e:ltol oqeqo^ po x lJlupslnos ouepa^ez
:luasall
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't z rqo Du oqau?urozatlz 't!.a : z! e rJ rurelrs oq?ue4Fz turud n ppdeu e ,{1;s Jupru,t qgqEd enlrn
t'z pBPt!{d
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eur11se.q ef (nzalEd 1 oru1o1 af afoqo) (x)o gqdeu e (xh! ,tgs 1unltr.r nqpqEd ;ualsaq I{d (0V)
a.Usuet{Hurlr 9,roza1q:d gu.rgum ou4;deu e (J) n{u!?g nug^o1s ?ut?uql ou4{d {pa of ppde51
(D tq
L tsoNAJd v tsoNznad
9
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lupo^Bd app I ^{Fp ̂tpuz ura4ulod ?ueqm et (atout.topp 'luaVnolpotd Vutq-ua1 ,ro*"opp 1,n9ffi'xpv Kpat e( xp nruaursle f49p euqutz'xpv + xp ruoupoq su n)tl?p no^s lnt?uz xp eclep lupo'rgd
o nlnrd rrreualo ,{,1c13opuy '(g^olsll J u11s q-af 'pgeps oo.eu) lqgord trud as TloI o 'afn;petX"r
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(acouto{ap ylnlosqD) ,{,fpp \atsprtld 7 ruoupoq ?u tull?p nols lruo{
ruculo^ pu J nops lua?llez od tupuz (8 2 rqo) o1 erlap rupo,t4d o nzel4:d oqguupruordou 1ru4
!uo{o^leld ?'z
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L'7uqo
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Y't V (zx)vq;=qa-ffi=(zx)o
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('x)N
yvltv HVTNSOUd'Z
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rll,ilr n ,\ e,rnpn 1nd :rs qsotqnrd nlnpour oqr li:pr,rodpo r:toupoq ? (g I a lqo eu ,{qurqd :un,rolrcp zrr)
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'qv 'ev o N?trn 0q 'oe ̂rsuzol IBS
es gs^orez 7z o I nlt?p no^s ru?uz 31 7 'rqo ep 1{1
'supqd ,{:qurzo: r es ru?tu eJe 'ru?uzot oq9u19pod oqylef2uguz a1 uat p_uqcopau apA trrgrlgurpu !{d
ols!l o^ouosslod 6'zyvlt v HVt Nsoad
'z
AlcrSopuy
/ ot \(', n t). ot = l; * t l.ot = F + ol = t
(6l a Jqo) x rurud ̂so ru?urs a^ erpuuoJoo n{lorprq ru?uzor ququz a1 eplop rueEuezod
- 62-
oq oe or=
u6tqo oq.t lxq !3ouuoJep pald
(^'*t) og=g :
ue,ror4 urafqo af rceuuo;ap od
oA
'n11ouerq urafqo ymuv es ?o 'rufu aruap:1
('e+1).oe=e
af.{lcuatunu zoc
fpal g'6 = r/ et1*:o ord r/ os1y1 o,r.ouosslod
:tuasav
6I'Z 'rqo
0l
0n\'
'61 ; rqo zn 'x ,{so
ru?us e^ uaTrwz at 'oq '0e '0, nosf z '{ 'x so qc,{,rorrupemos qcal?rus a,t ,{rguzo.r Toqo[.1a1ouur11
nrualqo 8u?urz -Bur?ruod 0I'z
0D
0
A
00r. 0t.2lururl ,.0f S't-= ,-
.t'0.0t- =eVlvr r
Y ,t .r.oe-='3.0e=ev
J
Y'z
'3.tf-='3=r3
_ J _x- -5- "J
ele
L tsoNAsd v tsoNTnad
-08-
z1+ 17=( x)y
^pel hzal oq?uallXur oqeue,roTe,tn gue4s oupafod Fs qcr;l3u qrq,r qgnos eu^or x nzal A
elrs ru$rrf^ a['?us??nos X1;s gqo ;u,{u !l-!qos{rd '|VFJ = zo .(lcr8opw af "3 ells grqoulss ll-}qos$d
.oyp4 = ro rtqduu
e t! = (x)IN eps lu-llru^ x ?lslru ^ nzel ,r ef 'rJ BIrs o^rdlau 0Z Z 'rqo a1p tn:d eu lt-lqosgd
T^nsod B ll?dEtr lrlzodJadns o uotlqz ll'z
'(uum8) w(ulalrgellsau urglgueleur gpprodpo i71 = r/ e1oupo11
7(orz) :>il
I
ocruerq Ju:oq oqaf au,{1d olsyp oaouossrog ord ,{pa1 e
o<d'z-lq(g1 i) onNor z au,{1d 'gaol1nV m+a&{zp>ypy gxtuTntd Vow[qt Tnpoue;l'antxyv42rp6
(sr a)
ut a)
y.t 3 x^ oA
-r;=7a-t'^o= ttr=@
{po1 e
1 _ x2,o- "
IBd el_eg
0^(rl'z -t\.xg = -!]-
,AV
et \?.rt- = z? = la ef nlrud lsopfdBu ?6oope I ppedgd l 7o41e1
,r-oAoA '3+"3+^3--=;-=@AV "A- A
eu,ror afg nua[qo ?u?urz guJ?urod
('s+^e+'e+1)'oA- A
peld psouseld nou?eplsop s e z" ',ta 're rpr;,r gp91qc;5,&r 9ptu,{utpt1a,r olef pqpeuez
,rurlnos auurafgz,r qcrlaf ez1 'aleur 4 '^? ''e ^loupoq nosf oeuuolap qcficqsele qsslqo ̂ ?olflof
(".^",'g +'g.'i +'3.rg + Ie.'g +'g + Ie + t e +1).on= n
au,{1d no.rerdr; poqal z
on - (' e + ;).(^a +1). ('e + I) og. 0e. 01 = q.e. 1 = 11 ('a + r).(ra + 1). ('a + 1).
xvlt v HVt lJsoad 'z
I - t8't?'z'rqo
b*tl
'!)tur?n qc4^rlloupef po lcauuoJep rupnos eu,rot ,{pa1 et ocauuoJap guprlsAL .(z1V + ttV yueTnoJpord
t ,{qctf,oJnuu) t? + r3 lrauuoJep qcXu.rqurod lepnos gpprodpo zg + to ,r,Rdev nl?nos r?.au,{1d nrp,arqo
Z 4 aretrroJap eruourod gpr,rodpo zo n?d?u nurarDourps !3 ec?urroJop eurquod ,() p?deu gpl^odpo
la Z rqo ele Uua!o^ta{4 ntnsod atftotlndns uotlyz r r1u1d.'(euo{yz ?^oalooH uso{qeld q$lqo
.t [1) rureaurl tueceuuoJep rurlclfepr,rodpo r"urf e rurrl?deu rzaur lsolsr^gz af (;pn1od uof u) pn4o4'1
; npellud,{ rpTn 7rfourslndqsod o1oqo1 .osel?l su 1rs qcrqf;u,l f1ur9n uraqosgdz
ur{ulutspod l,|solel aJcuroJep rxa^rl^ as lflu?uau '.,(pqa1 uaf ueld uqdeu rczod.radns o uo\gz'.{-1cre:qe8Je leu?s o[ azl P n;lleltsou noufals pgderr r yfeur h{lellsou nou?elods (,{rol1e,l)
flts rfeut nsotefdeu esooupaf ppedHd urguep ̂ ?oTlaf ppdou 1:tTzodndns o Duotlltz acelnuuog af
ol_ B:lul?qt qc,{,rrpoupof po rtQdeu - ptzodladns - nt?nos oulor {pet ef ?tslu urua^o?E^n ̂ rl?deN
v (0a z)= (x)o(x)N
{ed af u?deN
0z'z1lqo
I
J
L tsoN4:td v tsoNTnad
-28,-
is?A nzal$d eu rsr^Vzoa (x.d.6 urQnos q) fqF lursel^ po p?deu e? 'rs otll?urng^
vv x.d.6+- =.i, =(x)oJ (X)N
orrlor ef nzol oturol ̂ ll?deN x.V.d.6 = (x)g 'F'F)g
.{qp u rlsoulouq uel?od,{^ rur;fs1qc.{: llp?rqsu ?ppd!{d olurot A azl (x)y otd nz?-4^ o^ I-sr8olul
0
x.v.d. 6 + J --flp.y.d' 6 [ + a = ( x ) 1,1x
,{per s1 yuelqc,{.2 ;up1,rer? sf D ap:1 'fp.y.
d 6 nqn elp.gr'd tsouourq eur |p a.l?p o tuorxolE x ac19p o n1rud eqlt BJ Blls;gud ur_e1s ur;qfpu,r y'nzar arErts aupaf od ps qcr;fgu,r qoe;,r raqnos o1e[x nzar ,r fps ru{lntl lso{lla^ aurpsrlz arudls51
:!ualau
'(ZZ Z :qo) y e ; nlrud A?uv or el_up '(d elolsnq e 3 ou-ep ef1 laco
cf 02,{1 p;r:01e141 Xqp 1urse1,r nr1.r orlfn4e,rn e J nops uaqpez af {:at1 1urud tue?nopord ap?rfl
t'z pBpl!{d
'aqrlq-ud godsep figsaull po qr-er &rpo qc{pur r;d faf as 9,rgn'aupoq,ir mqa,r nrergn
oqaf ryq,r af 7o41a1 tu�-lt fpl e4e:o e ueldau g,rnsod rcrsod:adns o uoluz Jugeql ;tsuroJ3p e urp2duu
zaur lsolsr^u q-nrep ( fe 'ggluour od tl|a^sls 1llaurEor urlrloldal lrmE^o{B s tu,ruel_E^l lsg?nos ?qo4^qd mrfpnz,r 'rurJerruoJep e rumnuO qs9?nos Jua?guz auolsrq r-roqcpo;d z runcnoufld turtoeusoJap
e urupdpeld eu?u^rl^o 4q "Ztr* rJurrxoJap ! rsoptdeu gupels4^ ppdeu pugru eu ecuuuo;ep fupuz
lsolsr,rez ue[ rfqpefi,r g$eu e F^nsod rouodndns o Auo>gz gtrz,en porgeld oqef eu e uo{,uz ̂BeIooH
:Dtulpuzod
zz'7,'tqo
vvltv Hvlusoud'e
- tt'
iZ Z rqo zl^ - ( l Z Z) nq?E^ e oczodlad s ndlouud ruFr?n {^ r llfop a?r.lur es n{pels4^ nuteufels a)
/ \ v'z'e v':l\zx- zl)'6.d! *(x-r).J
v.:1 v.3 3 ?p ;-=----i.6 d.V+g- (2)U- (r)o- ipv-,''"
ef To:11c1 I op x po qcrzaur,r !p ruuaurala fp7 ruomoJpord urepnos uep afy nzel oqaucaqo ̂nsod
=2p Gb[=(x)nI
ra[
V'l
ez'z'rqo
J(x)9
6bjy*3 lbo Jl6b+
lz z rqo e ez a rqo eu u?ruozguzet (x)n e (x)t '(x)o '(x)il qCq1ua (ufr??r.r) nrrud,{11ap gur,rolod I euppapsnos e1,{q1.y.d.6:9 nrn:deqtl gpJ trqdli{ '{pt tr?m azl .{qu rr!se1.r po nzar-nld oqgrrugruo:dau n1n:d yueTnolpord e,ro4e3
v'J v'1'7 V.1.2 1.2".r, te t.t.V.d.6 zt.d.6t-
lr,..e:dn ezl ,tqn.rp ue|3 3 .{1rs po ruaTnolpo:d ain;puf,{,r ( I Z Z) nqsp^ a^ uel? tlr^ld
:1 'Z V'! il o,
. . o, o,
-------------=*- = xp. tJ = xp.( x )3 ) = xPv J
= lv,l'o'olJ(x)!,tt
,{pe1 luauralo qc,!rrpoupaf yuepnolpord n12nos orno.r af rgrud oqgloc rue?nolpold
JV.1 3xp ----------;----= -r. - = -:----..i_ = - = 1 1 1.}x.o.D J (x)o xpv
j
qer,r lgnod oqnu JuaTnopord 1epd.{,r
ord ,{pat af ((x)p e1;s ;upru,r e (x,)o pqdeu olef pufals) lurrnrsuol weu (x)t acguuoJep gru?ruod
\la L)
I tsoNASd v tsoNznSd
- te-nluauale frle^ou^or /<F4utpod z
'qEz z
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sz'z'rqo(q(B
'IZ Z rqo -
dnlsud fuTour (,{ue,rr7n ruepal qclcrfnpalseu ?W] ̂) I;pp npeJ:1gd ureqcnpo[paf oturol Bu aur7stll-]
(,,-,) 6o yry.##-(x)n
v'3'zV.?v'3v'il
lloqau
r\ffi=r,nd4r'-"u
afruolo;
tz'7Tqo
l+(x)9 = (x)N
(topl
)ep+(t)9
vvltvHvllJ.soud z
(r
'98 -9Z'7'tqo
(q
nzal4ld oqeuu?urordau n o{ef leU?od ngdcu az1 n1n:d uqlguzor ur{up;;d 9u,ro:
?^opgl usouelepz^ e^ Ips^ ruadnuud utflotuouprltutog es npelnos ̂ 'F?dBu rce-quecuo{ e{ p-?qrop
zV eu tV nzeln:d z npoqca:d ?tsllx ^ Ied 'uraqel eu_?lpurBu (e93 3
':qo) nzalEd oqguerr.ogdnfspo ?,{trl-af alr{Bu ze1rud es rt-lu?ureu 'fprlat uafneld Xqerz,r guapann a!4^ e? lnuop?^n rs eqap:p;,r eg (1.7
pr11;1d zr,r) oqguuquro:dau nzagrd ,{rud opf ,tlcrffopue aup1?od nzeln:d oqguugruoJd Arud
zelTrd fuuluro.r6 31.3
'4ufap af drusod IipC
o = (, )ep-V.( , )o -V.[( , )op+( , )o)'Q'ruuqdeu
lrs qclunru^ Fa{pg| ^ rcourod r lesdrz szl ruuaruala Xq_?^ou ol rcrulo1
x.6.d-y+g=( x)1i1
J=(UN
x.6.d.y =(dht-( x)tt
2p a d.v[=ti)uelxx
2p.6.d.v=(2)xp
6-d.Jp.y-191ep
fpar e
?ura?qd
!lr?
efx op 6 po qcpou a rcer3slm od e
(ny7+1x;Y
L tsoNASd v tsoNTnad
o= ( 2 ) ep - ( I ) u -( 2 ) np + ( 2 ) n
su,(1d
'98 -
( x)v.1tcp.7
= xpv
ouaor af ep,{1 91ec ;uqznopo-rd e
rFE^ xp ntuauala lua?nolpojd ord aufld oqot 7
l=( x)Neus !u{lF^
3xp ; : =-={X)3(x)o xpv
aceurogop -eurpuod
=( x)o
ylqdeu af uro1o6 'olo€ rsu luafel oqausa;d po o1,{qcpo apnq 'o61 ; ol q-eg
:]uarau
LZ't 'tqo
v Q;7 '4o ntr) I nols auuqgunu a?A gno1a7n1 ;uaTnolpord alegrn
s'z pBplqd
'nzar_rud oqgrrugurordau 1s,ep ez rpgpod xp ac!,{,r o tuauale az1 rugJeur (x)d gd ,toqau
(x)v.rn
--(x)o
rmuuoJep nou?urod e gpdeu g,roJzulou uafeurafnTe,rp 1a oZE^n ̂q
oIDl eqop ruau ,(pur afqnrd
noso noqgpod e ns,{.rqo 1 noulal gau (x)dt Ie$ {eF^ a?Tpsef 'BzeI qcfupgd qc{uur,ror pupo,{.rd ;ualrArzIqosBdz gJal,l 11:z-qco1d qcJulap eu uldvu e,loq,fux euaqrupe nosf rurq?deu lrlld^o1,trs as algp eu4pnn lef'r pqdeu g,ro1,{ns lrqosgd ymu qcgqcold qcJuprurr qc{,roc1-e,r eu ag ,(c
97.7 tgo z.u\ xp ac;f,r o eornpdoqauz,ro.;e.qf,r ,(qeaouaor z eu,!d (q 9e Z lqo) u-r{uuqurord ?flfods urzagld s gn:d n
xp _=(x)3 :xpv
(x)v '-;--'1--
{ x)N
vvltvHVtNsoud "
\-I
(l)rup*(l
\LL L)
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l tgnod az1
'l=,,=r,' , 1=(p=x)o
e zx'V =(x)otE'J
?urfep ou^or of (x,lo pgde,ri
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"_tox (x)o
2urfap ,1oqeu
(x)v
re\,(.'.'J=
3 0.", (1\=!- 'v z\x ) (x)v
1c1ap e pa;g:d uoysr,rgz otd eu,{1d qrud er4auoaE z op1
(x)v.z ixpr ,J.=
rv
L tsoN4?d V tsoNznad
'88 -
Ie'z 'rqo
au,{Id ecuoNrd ouleur,G oZ
N= rN
p=2tr1=ttr1'f1rs yugrurr auapa r'uz e (19'7 rqo) lueuele eu4lgppo &aq eurg,rq
:!uata|l
0c'z 'rqo
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.e1aprn
9'Z pBpt!*d
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'rts_s? ?^p ?u (1sg?nos nouutpureu psopfdeu nosooupof oqeu) 1rud eury2pzor urezq ruifuelqfur
:nzetr nopopu lqdo eurafndnlsod ,{1ur?ql mL(u?B ae6 qc{ue1onf,r lcBuuoJap e F?dBu qoel?od4^ Ud
tt)tullB qutrlB^rfos n^!l^ !f nurqBz gI'z
xwtv HVt Nsoad'z
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( tz'z )3?
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J.t3 = JV
J J.Y.T, O1-1lo
JV r-1/-z-\rv+t).v.2 o-'o
{ed
?olllef?
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peld np< ,rqo rceuuo3ap nouaurod o:4
ItV + tl'tt.Z=oV +o='opo^qo el I'sloj
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I ?u?ot 'rclelrsou eu - au?ol) e^opo^qo ppdeu efn2e[zo; xepul
(s,4,q.e
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ou or of !?duu olol \ed 1o p?dsu a,\opo^qo ou.?ofzot ?u€ruour.o: a[ q.g efold o nze{ ̂ o? taugpgplodpo]d
(ar4aur,{s ez ??u ol au,{1d o1) d nlqr,l €u }sl^vzau rV ?l!s lu{lrun'ra.1 = a lsogcXr gnopo,rqo eh ep1
,a-d.q.e =
r(ro. t).d. O. e = ltaf ruansop od 7o:
ap
Jp"eps ;upru,r lqosgd nzaq ureual;,{ut ,r fpel e
6p.N=Jp
1 J- - | u,, xp1'x1ryr gpru o:d) aurlriap ap
Z0=,t^u's'N Z-CP
ruuaualo ,{qe,rou,ro: ,$p;urpod 2
.(D. J.d. q -e. 6 p. J = zo. J. tup = Jp
,=(!'' *r"l .r=i*,[e
') e(poq {uouq ord o4ef fqer,r peld luaurala o:d) eur4;de7
t tsoNAsd v tsoNznad
-0t-
xp'(,x -,') #
= *pft 1, =,ov,{Pel B
xp3 =_=( x )? ( x)o xpv
Z
,X -
,")
auaursJ aaerxJoJao'aueumr oqrcrfnlor nzeln:d eu mr,rgzau e
V_o.d = ,', =(x)o " (x)g
ou,ror af a nzag ,r pgde11'9
9 qpeJlgd ,r olef {:rcrSoJeuee ,4pa1 ot regod{1'gs-e? otgl ?Ur??l acrupe{nos al z ;- ntAtr'1 - z1 gs_4 ualqo o[(x - zr).q.g ap1
Ix + .tl
,o. -!--.a.(x -.t). u. q = r x i 2 . x+t \
nm^l e
lesdazol azl (x)J ord qev1
Z ^ .! .. - ,.,^-7,, -7 zo'o' 4'Q = ( ? )JP I = ( x)C
^pel ?, op x po (rbp lls tltlurgluaruale nt?nos eulor afx brups{nos as nzol ̂ Blls g^rpasspo
2P' 2' ra'd'V - ro' 2'd' ?P' tl' q = (, )CP
\ '/o-2-wp = P/3p e1;s gntpepspo
rqosld 4rp luauala sN 'urp Auauala ',{poq grgourq g,rqloupef eu trl?pzoJ ouetuul eqap ,(pet o1 rruquro;od su u, osou1ourq o npoq oqerqourq rcelo.r gd peld {D.t.ut - J nlrs no^lponspo oJd qB1zA
'npe11gd u;qfaz-uqrpa;d ,r olet {1cr8opue zlacz aurfndnlso4
:luataa
zf'?'tqo
'ZE Z lqo zr^ 'd,{rolmq s y nze;.n:d oqnnuyrsuol euaupl oqytyfnlor rceu:o.;ap e ppdeu apprn
l,'z pBPLqd
vvlt v HVt Nsoud 'e
' ,t'';g
1 :qo afng:oz_euz (xro u?dBU q?qr.u.i .?{l ?urfe1zourss of lapelsf1
zv" - a rr.d.V.;- = ( x )o -(, )o
z^ z' t
tgdo Xpal '2,, op x po qcrzeru l lu,ro:?a1ur Tquro: or.qour olfg
,+ -ro'd =(x)o
i ,, o =, {p"r' s=(zt=x)o
pgdeu a
.{>lulurpod z orurc:n y n1ue1suo1 ruce:8s1u1
Cy+ _.r{o.o-=(X)o
zn
(2)cp-=v.(2)oproer?e1u e luazesop od e
sunCJn
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t!'z'rqo
lf tup* tltnr-
tltpETl'et
e Jqo e1p ndnlsod 1r7nod qpulor ez1
, ii'tir'r.a="tv
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( ;t -,t,t -,2t. z). 0 - q #
=l(,'t -,,1. | - e - 4,rt),# =,nvi =,,v
af auaurer oq91ac luo?nolpoJd
I tsoNASd V tSONZnUd
'zv'
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\9Z a)-ft="oepr 'oo
?uelo^op pgdeu as Fougts B pgdzu oiol os afnTrus'fusald elacz 1{q
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lu|soutad e,r{nu as (SZ Z) eJru^ox 'p uexepur {?[] I uoxepur qul eurefn;11zor 'mplt e
nqgl ̂ rumloupoq nululsou,rad nu{uz,n: s ,{pr.raluur o Jl^"u tl-epf (-41 ao tlsou,rad zeur u4lgduu
urluzsur af 'acqe41 1[n;n:od es ?rall
'ggualetu n (]t?uuoJep qc{Jena yu'zn auofnzaruo)
?leu^e?noq nosl 9re11 'Bl_zuolsur n ('y) vo nzttll zau aur9p911od F?dBu ]uzour 8z ruotud
t!c c,"'o >lolmw
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,{qu lesdapegd oqnu ruaznosod nur,[qsou,rad 1 ef ueryp s uraqq Iu.erpumu g4 'e1o1tde1 ;q$1^z
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oqeu epgruod es ,{q pue le!_€ueld yueTpez eudoqcs ef ac4n-Bsuo1 e7 'a,ro14 nosf pFateu! I? za1.n.ld'(waqytez
lD Aupg 9,rops 1;[qul epz 'lrpnosod qqour uroqcfqe hurot >1 guqepod sf tsoprz qcrfel'eula?noums ruau (qcrulnlosqe r9 q:,{u:gurod) !.srxJoJep e pqduu uso41a,r 'lls qcJunlu^ tua?ln
lfsoqnl B{ulupod 8 llsou^od srlulupod }I'z
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.fl .Ieulurpod noqo Z ,{.rycuru.red & eurauzapu
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't aiolldq ^ pu_Elqazor Bso1efdeu aureqo _.ud lamlgod qcntsou,rad e4qelralqo:d atguqorpog
aa qq z\ '^11.,\. qsecnos lsourcd uu lIrII noqorx ?lctx tualsoqo_.lo ur4,r c1 tq,rlqgd e lsouafl)Izaz lez_pqi.4^ or4nu guqaururpodzeq ef qso'?odzeq ,&nu qq1o,,r Ud az lnouaruodqd aqap 9ry1 >p;,ref V -Mrtl rsE qsou^ed uaur { uopalP^ qsoupdzaq,{4u nqlo^ " Z = urrt, lse nznpl uatx { uI)peIFosou?edzoq ,4.m1 nq1o,r lgruodop A?od4^ ?rz.?q ord a4 gu:gurs olef ryd lcrsodsrp I .&oupoq olxl rl-nosfe51 '515; qreuuou A xr-qpn guze,rgz egx,rqo nosf q?dptu qc,tua1o,..op ,{roupoq Fq?n{uo) {.fe ;pegsordptoJdal t1366q61o qc;;Qu,r hpueretu qcelsolq$l^ tqpod,,{,r qsouse;d lu-Bq,zuIeu nqnrp) ;poqolo?pe{ eu Isr u &furt qsou?edzaq ,{nru eq1ol p urexepn s nu'loupoq s o n?deu o1o; arue',ro:od
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'ngduu gualonop al "ta4ftxo anrpledsar *qfjto etovpoH
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qcrupell_32 usoltle^acn 1n I eznod r4no1s
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'1deu ,u1,r lnouqezrlelrur?nos rui{uf
tL I.lgds
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0r00 69
>i.{8.\s + llls+ nJAuulls + lv
0'LeuBrlP euqq gpe!0'6irlDrn?u a4rt gpoq
0'aEUqrlolaco
VL!lIaJO0'i^utqs nJ '[v
,t591d a{,rocpa0'9guEtlq suqrt gp€E
0'LitlaFu arqq glFf
0'c?uulole.o9'llaro
?_"luoul otdeus?^32 o{o^qop9u g^olElI
sI00 69zo,ro.rd ords'llazn 4{u?dostlrtrBuzoddrtxrll9lratBWts9JnosNSJ BuroN
psouledzeq ,fuyu pso1le,r qrf.ra111u Ipe14:4 X.7.qug
t tsoN^ld V tSONTnad
oqeu
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eJrzod$dns ndnuud uryqn,{^ ?.etol oqou
v.e v.ilWzJ+LJ)+ +Ll=lV
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-nl/trr Z'9Zg <(r)V
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E+!<(r)v
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ef A4ryupod yqsourrad 7
?ula?Hd
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st-z .rqo(e
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V
l;-l
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0oz = xo ?dhl \Lt = ao "dlr,l sOl.z * 3) )Leil loro :l_puoletu tItI] O0l : u,'uIuJ
00e =,/ 'Nr0l't=zJ 'N iOl.t = t! \l-rl agtz 'rqo alpod a2fi zagrd {uqapod e1apr1-1
8'Z pupt!*d
FI
LLC
xvltv Hvt*tsoud z
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11 = 1 x 1gp +l( x )yp + ( x )yf. o o - ( x )V. o o
(rurud nJeuatuur elolsnq ef d) purfaf' a1 ;qosgd lusruaye firep eu graq'ps qse;^ ,{qe,rou,ror rclulor auhalsos q9€ Z
'lqo alp tuaulala euaruf,4,r (B9t.Z lqo zr,r) nrn:d 7:luaraa
'gtmd olqcgl eceuuo3ap e,{qg alfau,ro.rod e1-ep 'nza;.rud oq?pts n1rud ru.za;.n:d s n1n:d
o1oqo1 nzarmd lsolrla^ Frpurx?ur a1feu,ro.ro4 qrud ec19p aleo od oo = o tsolqe^ noulals o ggdeu
uur rl-8rrr 'noqp rqsel^ e o urauaue{q oq?u.4$z rurud (x)y za;g:d tppru apnq es 1zf 'elaprn
6'Z pBplrid
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acrulor lulgnueroJrp ?uo^Blsas ;uaqa;. ,r o4 ?u?e^rps l? gqotuq ,{yrs rqosgd luaurala ?u algp .(oo ldeu)
uqdeu oq91_uts rcourod gualpef,ir 'fps yu,oru,r lqosgd queurale qcazal qcJufeq 6 .qrud oqgueTqez ez
&eg,{^ lueurole Eu qcycyqosnd '1rs ,{qe,rouaot aorulor ll?tses es fx)V llsolsr^gz nfpod{,r q4 .(!u-Bq-Bureu
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?pls dnols 'usoured ?pls ouBI .qdeu {etr(ma as ,{pedgd ol?^o{el .?lpls p?deu
e^9ls[z 'ru?ur ,411s Jugrya as ?e r? 'oqol lnouq?sop azl x rirupemos zu (x)y nzapsd psolsr^vz Ju?{unJnoupoq1 elsr^yz r3rupu;nos o1a1eu o1,{q (x)o uqdeu I fpol e x ergpefnos lcrymJ (x)p f1;s luplu fl^q(f Z peru+O rur,{u2e^-qm rruelrs oqeu (l Z pemlO norn1 rutsel^ rqcflw?.rqvz rrza;,rud oq91gs nrrud 1q
ltsou^td ?l-ils ,tfnrd SI'Z
'(x)n ntnsod nqgqgd rcrurpurs gngpn 1[x)o = (x)e n4u9ur,t (x)a qqq{ud a? 'rs eur?uurrs^o4 $)o rpdeu [sollte^ pgt Z
.rqo tru p gy I ord gze; qc{,tqloupet
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olqzsop .{q lr?deu ? zurur 8Sf = Vof 8 t Ud) zumr 0901 = y nzegEd noqcold s (61 ;) uur 661ac!^^ o I zalg:d eplnodpo (qalnqer a1p) nruol -rrru a,SZ8 < V afn roq.{,1 ut-s{ulurpod sru?qo
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zo;q:d ord aufld oJ7 ;17 psoqnl ,{ry.nupod 7
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zt Y +'t M = Iv
t tsoN4fd v tsoNznad
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v t'6'd +-='*oo
updeu ;upulxeru e[, acl9p o (,,r,, tuexapur eur?euzo) nze;Ed oqgpls nrud n
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.,a'2-(x)yr'ia
e[ FaFI rlefo o (x)v
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aarulor luJelouelaJlp fz_?qc^^ qcXuuquro.rd rceredas e g,radr,r .ruezpsop od
9t'z'rqo
o
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f.pe1 arualqod, no o =.|suot1 =( x )o
al pqau '111V = t nqBE^ ez tr?m ezl rlsou od ?l-?ls n1rud JuaTnolpo:g
l'g99'0 I
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ag og'1.--.-=t.==Le'O 'Oc
el ur. _c'0 = , ord ?o{qef
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i
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nza;nrd oq91_u1s nlmd n e
o0
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lo x
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6-doo- t
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le
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grall J nolrs etlez^gvz eLta rqo o1p 9,{i q-e1 oqglcqe8reua e;Fpelq z (rorfdeu nosooupefl ruolep
e uraqq rusq-srusu rufu aurlnpalg $)c.Z : $)o uo1yz ̂r.DtlooH ueld rczuuogap qcAcpsele qcruBeuq
gse1qo ,1 ((x)n ,rnsod 77 eceuuo3ap '(x)e aceuuo.;ap gu:purod) rceu:o;op npeJqod z epp '((x)o gqdeu'(x,)ry ̂lls tupru,r ruaqm) oqg,ro;qdeu p oqg^oys npelqod z uolep E ureqet rp,r,{qrz as arusf pnso6
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aurr?pqo Juezusop e plurd4 od Toqeg z
v'J v'a -1.o * * ='w
(9 7 pe11^ud zr,r) ou,ror af nze;.rud oq91_ur rurud yua^mopor4
le0l
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M=nYL,t ' t-
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(0t z)
pu^or /l ald.taue ru??rxloJep Apel e[
(62 z) n= M'it 'l?.&
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\EC c.'v'J e z z e-';= lv'J' , =9'J't' .= ̂ := All I'�zJ I I I Y'zl
rce:?etur od eulld 'Iuuplsuol g lsoufeppod azoln glr?^o?B^n ̂ rfof
0t
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@(9 Dsouieppod uur?n ldeu) af '(?uacesqo e) 1V eu I qsolsr^gz I urepel{z^
\tv)p.t= Mp.{Pat af '9,rglo,r,{rr eu8s f:at1
lZ n^nsod eu J nolts ?ueuol^^ 'rcgrd aur_u,rra;d pu or af qLt.Z .rqo I e1;o1d guerrogurg,{,r a1sr,.r5
I tsoNASd v J_soNznad
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z 3 l(x)vl z7=T ,l.ln17=
xp'!tx)v(x)v'it z -.
ttparorlr'1= r ( 9r'a)(x)zo
al 'xp.(x)yr = 1p a? hrrrol )t uraPa[Iz1 'aJyp au4rurdn (yg'd \evy
(ss.z)I
M'v J =n
I nluefqo od lcerEalur 4 eul;4pgf,{,r y lcotuo;
(ns z)Mnp
,{pat np nurefqo ,r ?ue^oFunqu 1r;p er8rauo
ru?BuuoJ.p pls?ouul auafnqetzo y (nfraua lu?euuoJep nou:9u) ar8reua tu?euJoJap nlo$nq o{ef
.(eE Z :qo) ps lc{urg nolcuerpe,r:1 :1u;,r ef ixp ac19p od aurafnforut
- (ZC Z) qeE^ - e.lap Eu glst^ez ?ureiull af:tireue F?euuoJap e?'euf1d gqer'r qcfuape'rn eqft 7
(rt,z)(t)
(x)v.3 i z,c.rxlrnJ 7=n
(x)v'E z,_xPffi'7=nn
\cL c,
((x)V : V "E 1lsoqoru r auaurqez) ef
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v'Jzf zJ
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rre:d '23 nolrs oqeuelo^,t\ '?l!!qostrd oqlfatn nsod ua,rr1,r,{pa1 guo1,{,r rg e1;5 .zrzlv nl1l?p
o ,J ^lrs ?tlrqosBd e,rnosod r ?use?nos aJe 'rf afnTnpo:d 'zl tx;r,p o ls_s? gq-?urzu zJ led "J ells
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v'3, v'] z v.1 zTT'r+zl:3 i*3;t;v 7=n
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v'1 e v.1 e't'
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0t'z rqo
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L tsoN{ld V tSONZnAd
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e,touq;8g1su3 BtQ L LI' Z
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Z
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rr ='ng 'ne
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q.4ulf Ud aceuxoJep ta?odf^ ord qeE^ A3rSopue lsa^n erSolpue ?psll-?z En ezi .IDlell
e nq"t qd ?eu ru_pqgursu uraulf Hd n8laue ru?euloJop ord qep^ uazo^po lxqau ?llaf e?sqo[ ( t
:{4wnu:o<l
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- e9', tlp'n =fia
peld guceq6 ;4 = 4 af ,retsnos qcfieusle qrrurs:u!! n (e
, '!e'n=- (8S Z)
ne:oaounySgso3 npa frnttz 'qeu,r
!r7a14p au. 1d.,{,1qce,re:dr,r od 'lEqpeuuz rf ez1 e npeq oqaqup gJ"ur ?u?auolau elll?rlo,r af quu4s g,\erd eu ue11 X,,r:g
z 'Jg'n.'!P + n +'nP.'Jp.l = t1p. --- a n
r-'neIII?
'n-tn
peld?qnu Fpal 'lu_B^o??lyz lp?;od ,r11n (rr8reue
tu??truoJep eu r ,(pat e) ocad eueuol,{a lso{rla^ "u tlru e?Brxeu er?:aue Jr_n,roqrzz o Buo1yz elpod
L'n.'Jp+n+lnp.\p l=zp I
ar8:aua ruceuuo;ep e^ollec ,{pa1 af 1rs rueqosgd npels oltuol Ud ((p0l'Z psllgd
zt^) epts 9,rgts1z ,{pa1 tn .zr'rp en e lu?uleu rlr.^oq?tyz gd es gp els Tpe,rguod '!uau u-ra!^o epz Z/l
Ialrul?nos),ngp rcerd euo1,$ ruotud gp e11s u ln ef lg ru?urs op eryo1s Toqaf ',rnsod eqnrzn tg.{y;s
Urqosr"rd L n = ill ec9:d ruolqd as euo1,{,r nJ' "' 'z!'rJ lls ?^qsnos trqosgd Jw(u q-au2ode2
7'np lp'|= tvlF
rcg:d upuo1,{.,r gp egs e?pt ',np el tJp ru?urs op e>[zols
Toqaf ',rnsod rqosr;dz.l npoq ̂ graDl '9p n11s aurgolud erudfe51 1ys Jusqosr.rd ;pelod ;u,{u orug?ru?Z
L tsoN43d v J_soNznud
-t9-g^41d,{^ 'urery?uretz trJreet3atur "z Ng^oJd l?do ez I rce^uac
o"l(r)v z.z"r'f f,e o'f, (f,e\
r_--____i_ | t._ = t_ t= n
lxp (x)zNr
) e \ne )
gufap 4ed'X:lcqzruapru
nqe^n olnt r1-aua;yde7 O <- f, ll?o1od nypals{,r atr e 1? elp rf,s^uep lsgnord '(f, qUep,r)
Irs qce;^ rcTmJ o4e[ rr8raua ruQ€rxloJap 1?m '(f,;deu au4erzo) ngs slslur oloqol op ls?^sz 'lqosgdsu
elrs r;fgu,,r. ?ur?u A tu?rrs e^ elslu n^nsod nlcod{,,r Ud fpal az1 peld ep,r rJ ,tt}s qoupoq nolrle^
1e[ o:d 'oua-oa1 olXqau z-uot (8t Z) lu?^ozo po U6 flys lqfpua XlJalsou :pus a[ 7eu n:purs urgurf ,r
af .tnsod ,fuepalq ap ?lls llt?u acrs urgu ,r q-;qosqd oqeu ̂l!s }qt?u^ ru?Urqosgd ;uau poq orual aq111saf'^pqel r (nlrud) esa19r oqgu-rud npoq nrnsod lepoda{,r ord t17nod ez1 (gg Z) nran n roueq?gse3
'flrs e,ro4oupef lsfurs 7eu {uqedo 1s,{urs 1[ef af 'eceuuoJap o{ueureru ?ruodgz nr?od4^ qd 1-epf,{4'af,e(uoJap guBpalq ru?tus e^ e ?lslru,r ;o1qosld'no[s (nou:9urzo:zeq) no,ro>11oupef 9ue1o,r,tr I plsyur
,r e1;s (gruguzo.zaq) lu'glu al (x)t,r e 'nue s n.ur;fpu,r eueloMa 'x ?lstur ̂ sJls lunlu el (x)p ap4
(0r'z)
((x)t u = | Je | (x)Ne aulperzo) nre,r1
op rsdald ezl (6t d qezn fuguzozaq al gg1(x)yg qup,r 'l,rafqoeu ,J elrs es qel\)Ne be^'!tep
^ {Bd ? ,{lrs r;fgu,r rcTmJ }lugeurl et (x)ry e1;s Junru a? 'rl-aurp_E^n 'Iu_?r{_prrr€u qcrznrp qc,{urf qd I
IJBrruoJap nr20d{,r l ue,tqnod qcBu?ruqo qc{u.n:,r apnq'pt&a2u agtqolJ ftmd|.f.zva qqz otuel
'Je (x)v'z"t'XD .-:_____:_ .-___-_--:__ | = ,ll'(x)Ne (x)N J
\t'L C.'
rlr? 'ura)p?urerz ur,rupe-6a1ur e'z rce,ruap lsg,rord ez1 'atuefn€elur Zm elpod t ?ur?lla^ su glst^gz
nnu .{pet e ?llrqosld ?l?m ?u erryzgx a( 'rg e1;s ;gfpu,r 'f't 'aruafn rFep ?p elpod ?rn?rlo^ ?oTlef
l(xry.1.7'tr)l ,tn ,Je| ------------t---
lxp'(x),NJl e ne L'l
lPsduz (ee'Z) rrm^or u4tr?n
?ulguuoJ azl (8e'Z) qe1z1 nop^ nouepeAn s gpoqs euld r J7 luqznolpord 'our_erz
1ef 'af 7oc
v'3 _ tet'J ne
au,{1d pn4po
v'1'el' zJ
ueld gpedqd o1u.ro1,t a7 'aursf qrprn nqet,r a9,{t pgq-eueu qd ef ,gq,r o1,a1acery1de pEnpougaltap
vvll v HVt Nsoud 'z
-n=fi|
-99-
3n8rcc.q-r1purs
,l ='t
nosf qtrud,(110p a7 'aturq:n ,{,ru1snos arnauroa8 z a,udlairl ,{qosr"rdz e11o1?g rya;el euepe^org
:luztaIl
zt'z'tqo(q
'1suo1 = yg a1[n4 n Zt.Z lqo a1p ,{,relsnos a,ro1rud g nluq,Qs ,rnsod ,tuaotopo,r e fisr,rs opp:n
I I'Z pBpuid
'aur_?pelq ,J,, ru?rus a,r ,rnsod Toqaf 'gtsrur ,r nonafodqd tlolrs nou?u.Eolzaq no,ro4oupaf
eue1o,r,{,r af (x)tu uo1H6 x ?ls}ur ̂ euol?apo '?l!s Jtrlr,u af 8)!u
,,,1,, ruelus oA ,rnsod a[ rn apl
(t)
. ( x)V'3 'rxP'(x)tu'(xlU'-f J ='n
,{pa1 'augpelq (lnsod) roeuuogap 7ru?u ̂ tueus a^ E eseuuoJap ?u?pelqglsrur ,t rcrqosqrd 'nolrs (nour?urzo-rzaq) no^o{loupat guelo^-{^ ? ?lstlu ̂ ells (gurquzo:zeq) tuslu e[
(x)!u =f,eNE
rJsAuec-nu?u
I lule{urerrzod s r (gg 7) qer,r eg_uts {pat pe16'(gurucour m,,ud ,r ,{gs nosf (x)p ord nqepn e,r .0) f, ,(tp
I Apal ? Is qclo;fn7gtuz !.TmJ lur_pcurl ef (x,)rv Joqeu ';aafqoau
3-,{gs rso41e,r es f,97(x,fp9 r3?Arrap
A 0 +- f, o:d rurelrs rrulpfqu,r eue1o,,r,{,r ,x gtsnu ^ Ells !u$ru^ sf o*f(x,fg] >p;,ry
* ffi o*''y1r1r1.(x)Y-1"1' -n
(B (t
'N
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\i 'il!
j
t'l
u
\{
\
Y
,u\.,
L tsoNASd V tsoNznad
- 99'v'1 v'? E! v'e ,=
z r zu -z r+ rrt" t r-- ! 9' ! u' ! N 3=, t'u J N +=
A
e[rya'lapnos ,r acerialul yz-uqoe;d 'yrDuelsuol nlrud e:ql?p od. z'tu e .'rN f1;s pgru,r nosf '4o4t1a1
(tt'Z 'rqo) ?^o)noupef,{ps po luupet
',(ps lpfgu,r po {eupa! Z u 1 qcotrud ,r .{11s 1u5rul lr?m e nlls no,ro4oupaf lrfodqd g ,r
eqa;r af g npoq ,r n,rnsod oqglsrns yu-epa1qA,r 016 (0t Z) nqEE^ urpqn auopfop nlpels4^ ?nur?l )
ry. "i: r, = !#. nsroc.flvl= a..l lq-s+ue^ Ansoo e
v'3=l'rd=n n ,8rcc.q.7(gtr'3 'rqo) afn lnsod lrqgluozuoq uro1o6
tt'z 'rqo
'f,ru1mos 9,ro1rud arem8guol rue ppuzeu m 4m:d p1,op utgupuz uti(Juur l unpoltF^ ( g poq) rursu?el
lrpsr{su 3Zt Z rqo ^ AFolqo e^oqnq szl '(lcsuuoJap 1a19p e prud 1al?p o{tH?ur 9mf et n:pprqo zu)
eJeu: nosl eceuuo;ep o? hurot I uepalrp {El^? 'cZ}'Z 'qo aP ,g nqoyod ouuuoS4 od gE S {u?AlS
?='s,o r*="r'!0.!'' =#*=,,
v,1 ='n "t - '9''N=n7torntl:tF N='tv
(nra?Btls ef rrz) op{Br 'lfmruo;apz 7 u t Arud as (qel) W s ()pD) ,i, flls tllluaqos[d
purs
, ="tt e oStoc.J-=LNJ
au,(1d ,{qg,rou,ror leuJrupod 7 'z1y r1y {1ys ;upr,u Z ? 1 qcetrud,r notnpz.a J {}s ue^IL\
vvltv HVI NSOAd'Z
-/9-
xp.( x )tu (, tu.(* )Y' 1"[' = * ifu , r,lr,; i = # =,,
(0t Z) oqau (6e'Z) p, rffa1ur ;rnrqo61 nnou.,{1d ru z oqau
'J€
ne ='n
(gE Z) rq?^ n^o@q8usu3 0 tdnm ppuuo.yap eu auaTopz ,.{po}aur r tFnod ?uo:lm e,\oe)looH
z qobnou{ld lqegn guroq Xper eq ( fe nfrud Jua^mopo:d qs,Tr.u oqeusqo n^nsod) aocurroJep npod,,(,r )
:t4ruguzod
',{1rs e,rolloupef auafodqd nlsXrus qo:d afg npoq n ,rnsod az ,afnzzln snww o4tavnuT
st'z 'rqo
- '1ad-t
l' \O' .\ e' \ u/\@\, \ r
bru
v'iln 31oc ' q. n 37oc. 7-
-n
n uts: =zN
t
DStox'J-=tN
,rnsod rulguozuoq ord at(gy 7 .:qo zr,r) ,{:1cr?opuy
a[ luazesop od 4oc
if'z'rqo
0=zu
[ ='u
v.3 v.ilzagTdt{7"tr * ;er" "a. " tr;, g,", I = n
J
\li ?u\
I tsoNASd V tSONZnAdk,'ht
-89-
77g'"'J :="lv'"!'1--'n 'II
+="t g,!='M
r:tnor arS.nue rugeuuoJep s gqdeu '1ua7nopo.rd lfof of '.g nops eugqgu?u 19 7 rqo ap 1,Q r1-e1
7 uraxapur ua{rnrJuu,{p ud 's uroxapur orrra?nzo rueqosgd ur94coe1s rjd furllJe1
l9V.3 I
=rl
epl ? Bsouleppod I f $soqnl ?toupoq
?_"1 lu_eq_?ul8u uelcrureu{p r ual.U?ls qd {pat epng te ;ueg oqgupedHd ̂q^ 1ugqguJ?u eiroz_e.r ;q-eueld
9:all '^rouq lsou?s^iles as ?fnze^neN 'fe qcuuuogap qcficuseld qrJup{ol ura{rrzz trrFr_elruDfzoi
s rolsllnos ar3:aua ,Qgrg r f,relsnos lrytrurTzor lsorqotu es gqpetre-z '(r_sru 00lS ! rt ef 1*ro o.rd 7oc
' I l=f : ,r ilsolqt,t as ll]g) Aul,\ 9,ro;gdeu ^rl,r as ?qpeu?Z
'ir?uuoJap qcficusela qselqo ,r gq;qord
8p 4fac 0 't.1 = o (uot1p: aplooH) pewJo1ap e rullgdeu rzour tsoistlgz ;tu_B3url tu?q?u?u oloqot
qpedqd ,r r lepg11odpaqd epnq es elgp 'unu-Eq_?ru"u ur{1enueu,{p 3 usouz-rud nFporu tu?ulttlo
orrBlo?eln opnqau ?upeld yua;npoupafz -elrqm lsg,rord aulsnur {el^ u4lpa;d 'nu91qord rcuepq
nol.qa8.laua eu:afr7nod 'uezer ]u_?q-?rueu qd ;feryrrz,r ?lall
'lr?uuoJep e ppdeu nlpoda{,r ;1
gt'z'tqo
0-lP
(q "9f'Z rqo) O e ,p 0 'o{rtc& su?u?en-\Fn qoupoq nou?auo:1 eu Jupe192od z ,(gs euquz af Ju_uq_uuruuut?^oz8j qr{ Jp o etru?uz 3 e1s ldeu as ,p tuauale .{aose1 rz e? \4El t ures?? s olru?ul es nrezuyz'0 '(?:tcpslslz"Nt godsep oqeu) 91cqe6 o1,{q y:a.^zryz q'oJapeqodpeld ss qcgqe^ql qrzoqcpegd 4
(;ugqguuu ?IrlruBufp) tuezgr lu-Bq-suruN gI'Z
'gllusou rrerrxoJap o ;c;[e,,r9upofod ''61 e1olrde1 n ouepplsX,r guqorpod al yag'o4p1dotd
oaoulEopSaqtl uprTn ts9,ro-rd gupoqf,r ,{p1pu az1 rcu-6e1ur o1n1 '$)!u e (x)tr1 yc4ung no^p nuenos
tcerflelur o (97 7) n1-er€arur ?^oqor^l n apf 'yr4ueruol (x,/y.3 eroupoq 1 nleqr uquplSag eu q-a1
(B (q
ywt v HVt Nsoud ?
- 69'('w*u).1-'1v
Apa '7 gtt p '1V er?.raus pq-ercuelod guguz gu,to-r
s''s | = . -!' 7 1=' r''r'1=' n "z-[l'z'Jl ' -l
r1,{1 ,r gue,ropumle ,f, rr8roue lulslruoJep es npuplodpald qcfuepe,rn egfrr e2
8t'z 'rqo
Jlo
(It a)g.'!='lv
a[ IV amurroJde 7 ,{qn 1eurp4 (,{,roz_ur) ,$rcmreu,{p atn4pef,fu ,lJ op1
v'-.- = ) o't
oulor 'rr ppdeu 91cruuu,{p arqrrzl urolqd (g}'e lqo
^^) nryemz eu q \r4^ z I ezg o r7zlez urapedop ;deu ou91o,r,ir g{q a4lur Fi_"q_?ureu 91cmreuf6
t tsoN{3d v tsoNznad
'09'
"7v = tl ''J
app e sg ,([s ruaqosgd ur91crp5 qd or8raua ;uptluo.;ep of
7'M'"t';= ",
e? 'nurot I uapel{z1 urzu4.t ru1-u42,! ,(usef eru (g9'7) letrurpnos ficmnufp ord zafi
:ntwpuzo<I
J ,(lls FeqosBd
urrr?plrrod r;d 117au 'auqos-eufo.tp af ppdeu g1erureufp ';deu
I 'Z =t\ olerlq?nos oqglcnuuu,(p tsol1e,r
ct (y.e4gez ?lqcft ',$ti4^
9a,opu z pedop) 6 : r1 qd a7 '9utep at (9p'7) e (* d 'kyd
lqepl. eZ
@n z)'lV.'\=tlv ' ro'"1 ='o "J't\=t!
Apal '{ur11e,r Ju?euuoJep e ? oJ?deu .e1cqe1s 1;4^z nz-el n{Palsgp ^ os ryqqol '}o}fnzeTr-l
Gv z)
(zn'z)
'Mj\' +tl'+t='tl
tt z 'l
i3u ord peld 7t laluenos (Acmreu.{p) ,{aoz.er ',rzl of ?ue4s ?rrerd eue:4to^92
'! ='J
o74e1 '(sn1d) + o{u?ulEIE -sltr ueuz{^ Jup; zdJ
"lv-+14 ,'+'z z
"lvn=-. - q.z
o
io="J
qoqa? z
,"!-"J'e''J- r'J(tl'Z) uPqn eu,{td a
lloqeu g.'! = "M
o1.{q ,tq 3 ,t11s Juoqosgd tu?Icpe5 IId e? 'Il-aulJ?.uan
('v*a)."1=e ,'l'l
'1v='naa(ld'1V ='17 qsou otZ
III?
vflvHVlNsoud'e
'L9-
6'''Z'rqo
€l
1,IvJ 'v/
'v --
sv
ll
'auarn?e^nau nr{p lqssl^ 'urtu
I = t, "dr{ col.Z = I , zttfltr \Oa = tV
'-uru 00t = tv '_uru
0s = ,b/.urur 00e =r, 1lnrl 00r: r, .uul 001 : t
.N 0001 =J ougp af
'67 7 rqo e;p nldnols oqauazeso g e Z
,! qcals-?? ^ ,o updeu oqg:1cmruu,{p rsolle^ alogf!
t!'z p8pt!{d
'( 1ru4 'q,{qo; lu?q_?uleu qceqosBdz qc{url qd
'l lt?n azl - rcrmlrq no>1cqa8.reua - rueqetrlpu oqglcrureu,(p ;ua;a{ 1 dqsgd (,tuesnpoupofz) {uapo,rn'(Bsel?l or{?u?rud) nln:d u?:aua F?"uuoJep
eu e z_u: oqrc;le,rg1o,rla ha1q1 er8raua auquz eu Apr.,tp af lalrupnos FlrrurBu{p ,? .,(pat eu.^ld
Gn z)
Gv z)
af 'q qoupoq o ^qolod oqaf ,{uquz
", -u *,[ *, =,,
zn I {Pat e
6z,a'r'i=Yw
af n-1r-ane1o o7ur91 t 14ery or4ttepr.;dop er8reuo glcqaur;4
+I="l
uarror 1alrm1nos ficmreu,{pnT?ulelfo tr lqzr'yz o4cylupedop arSraus lnercualod eupuz af
'n=-=+ I
L tsoN{sd V tSONZnUd
luurl 46's = g. J =' IV' [,.N.urur] s-ov L =#h=9' tzanl o, =A=' o
apnq gpedgd u.ro1 I (nza;"n:d uguz qc{1q9u,{,u1,r r as nregspo) ry zar^n:d 1;ur epnq ladnols {1ac a7'urq qsoufeppod ur,ruai4^z lduu eruamlgsop r.ue4Jus oqal'91os(^ of 'Lo lt; ns-up rr pgdeu g,roze, g
'!)qflr qcrhoz-?.r tuov,rus (p
lealrl ls'w -sts.'71=tts '[eat11] ot'os -szs.)71=)zs '[uaw] qt'grt -aLs.ts1=tLe
[nrur] 97'6 =' IV .'rl=' lV
nze;r n^ll^ Iu_E^o?e^n ud ,qoupoq (t
rrr ro'a - Tf.,l., =OO!*,=',
letrur2nos $oze; (q
unu 97g6'9 = 317
ef pezusop o4 ,irelsnos 91ec $oufuppod afg epl
9.4=(t g+z g+ r g).J=, g'g +, g.J+ L g.J=se 1yz +sz1pr +'Ly -" lV
[unuf g49g'9 -_tg.J-_se17 : [umrl 916'9 =eg.g=szM '. Flll.nllg'g =r9.7=3rp/
'z9-
[ruur] st'o =" 1V.'t1='1V
t t ,r'n =#*rl*r=',t
[,-N'unu1 n rr r=E4g :[,-p'urur] ,.or r, =73Jg :[,-p''rm] ,.orr=!E='n
^_ ooe _ tv_
000r t
00I 'vnI =--=- ''
0001 I='zo '. t"ar^ltoz=ffi= vJ
=tL o
rueqoegd oqalcgep npeqodpe;d zz Aoupoq (B
:!udraa
[Pdr^,I]sto : [ztryr1]
vvltv HVlNsoad'z
-89-?uqosBuoupef,tper '
L- = 6 - B = (o + e'Z + e) - hZ = ! epnq qt €-.rqoeu pedgd ord .;dep .9u:odaz
1 ;zgqc/'l', ,{pedgd glrpmeu ,C1cpe1s o.r4 .0 = f rlsoulol r.rgdqs 1a;od ef frlm ,{qcge6 pedgd org
rodpod qo4^rlq,{qod lapod qr
:odpod qcfunad 1a?od d
sclnlsuol grud lapod 4
(,.{poq m{ua4o1n s r) p1.nrq[s leqod r
(r e)(a +d'z + u)- x.z = t
rtsouyoa ggdqs ppd !:ap{
ESIIIAO.!
alpod nsoulon fgdrus nr?od uruglglfz 1e1;pod,{,r lsorr.meu norougts ouToru ef rcrn-osuo{ qcf,ro1ruon nqollr nolr?mou .oljusls algr4uopef o ,{pe1 es gupaf z qcaln:d ,l xps gureuzeu rg o;d acruaor 9,roryo1sq,rp lesduu azl ql t lqo Du npedHd ;1 ernraor eupaf yq,{qc,{pa1 rua5a; o:d e (peqoJn ttrnrtop p unuoq^) oopel au-?r.rzau p,rp afnqesqo ({ ,4so op +Jrulol B^oryols) Xqe,rornor e4u,mrpod g:Joqets gqpef
I't'rqo(q
'nqo1n nolr-cmau Alcqets aryr4rapaf o gugaf as e1.g .rqo eu .1dep .usotr?mau alcrlzls?uqosButcr^ e fo^p '?uqoseuoupef o aur.rnl;41 .ndf1 oqaurl ruacru ol e.l^ oqau etll?^p houpef lruldopXlutrupod ?Ionels eqen ef yu4e; otd .elrrnau ,(rltpqs aurg,ra{zeu a.{rulsuo{ a^o{BI .,,{r{B^ou^ol
leulurpod qo,flcuets az azaod.pode sel?l no,,rp rueqosnd oqe^olls oq?uuatgzn .qos1rud ̂ B)tu!?q
qc,{,ro1rs'y:1ear ruacm 1sa,ro:d orzoul ruau {c&atl n .rurac{rulsuo{ s aur?Aopes olsp? {E!^ as rxeJd n''{qe'rou'ro:
leu,rurpod qcAc$e1s az (rDp-qsuo1) tsgpnos eu rc;qosgd f1;s fuqceq,r lrpm qcepedHd o1qcp1^ orqotu olxq otold fl!?m ,tlrpels ,{1Xq nqel ogelsord z fped-ud guenqord pnsop {uqcagl
npsd.r{d oq?ftlrnotr ,{r1c;1u1s urolod I.g
OXY,.II V NHVI OHSI -I?UNSN A>IJIIVJS A(IYdIUd flHJNOONO'f,f 'E
(B (t
L J-SONA]d v tsoNznad
't9 -
rU olmr lfof au4lsellrz f, xqze^ ?mqceuod op l(n11s ;qfpu,r eu olef lalgod
n1?od{,r uaqpq aruepnq noreDl eu) aU nolrs nol?mau ̂{3uels lpBrgsu as g Aqn,r. ?u?u?llsPo
laur^oq ,trp:n Acuets ped-ud AqoB z g^gls es ur;1 {;uuep,rpqa qrufag ef 7oo ',,3,, oqeu) ,,g,,
qnup.^ uru?u?.qspo apa,rord !u?qo^n as npedgd urageu A '&l?m fqcuels pedgd ?u nqolg nolrep
eruepe,raqd rxp e rrue s nu,Qrpmeu ,(1cqels st eu4perqeu '(rye1o1n) fqan,r gupap(qa;d aru1{o,rn 1
'Xrrgmau ,{4cgets ry.quopaf pud;r"d o es gupet 'oueze{n 1 g tc,rurspo ,r 71f o1l(q ry1
:!uaraY
z'e 'rqo
"m'DU-
3 af nqel n nsou^md lnpol/{ '?Z'€
nln.rqo alpod g nops oqgue?pez y nzaln:d oqguep nldnols oq?lnu a^ n lc1ear 4so41air a196rf7
I'E PBPUTiI
'npedgd uryl9quo1
Eu aue?-?{n .{ra11 'dntsod ycrfnpelsuu te^o?pop efnpruodop es tlop q.&t?mau E wls Juelel qd
fqolg 91;1.rnou ,({ruets !uep{ dnlsod f,uceqg 3'g
'({trgrnsu ,{1cqe1s pedgd ef ry.r41o1 511o1 9usa;d
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e lue4uez oqr;fgu,r gpappz eu rcBuuoJep 1so111a,r yfnsrdod eraDl .ocmlor Jup4z,,$ aura;;dup.1
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(z,*'t)'3'tv 'P
ausueFop Juaz8sop ru?ules!? od
nosf pgdeu ewPeP agul
uolod e
(zp\ 7it Edt_ t=-:-=--l'pl v V t\
- / - >,.t. 7fzlr
-
. Lg = Zg
=!=,oU
(sz c)
\9L L)
(t+Lt)'z'tv'n
zv
i''t+'t_!=,oU
4v
E
', *!, t,
1v -!,= ll,'" =,('t+tt)'z'tv'o
,,,\--- (9 N\zs = l.t +,t). I v. " *
lT * =t )'E
apr
oq0u
L tsoN[3d v tsoNTnad
eur-B^9lsop (ZZ'E) ,{4ryupod op (1 7 g) e (97'g) ttqqz'\ urytazssoq
- 9Z'tl'c'rqo
'6 n$rd n alqo od nlIIe,.A oqgrlnl Eqolod gusp.Bnodp3ld ?s?^oll.s?
Buelsa.r{ez et }t € rqo eN'g^oIutlld {p7,r g4u1,{ls qc;qop ecrufods ePnq Jue?gvz tu?qo^oqll ud
'nur-e"q ur?qru epuolop eu nosf gn-rd ,{sg,rp Jr4op a7 'oqo1 aurafz-n'{'r ql4urPod lu?suroJaP org
(q ez e)0=e.eN+e'e'tN
o=eN-'N+'N
af 7 npoq 1 e4ryurPod elolueuroru B
(e 9z'L)
J€Al eur ru?uls ulruE{gxt^ aA e3mAOJ 9AO{?OIS'n-1ultupod nonoluaruoru nuPaf s rcru ol nolo>Vols
nupaf rgsd aue?r.lur n^etsnos olru old ?ur^oJ A Is qc{'?9qou'ror n^slsnos o '{ps} es guPaf zA,
? ,rV .{lls a,roqa aurep-e1lodpe$ Z 'L qratrud qc;crfe,rdqz aA 'ri, nolts no^oIBIl uazvrqeu ?A?$nos A
af lourqg Toqef 'g urud rulugue.4spo af aursf lpe^ord'€I e
'lqo 3u ouaiermu a[ f^elmos ;u?ulo^n
:luapa
ct'f rqozI'c'rqo
'nur-s.q rrraqu epuolop eu Xu2tsJum nosf grud 'Gqne-z Juloq 'y nzer-n:d oqgufap J
9qno1p qufals 'edlnl sol.Z'Z =Z=cA =23 = tl9,ro1aro nosf ,fin:6 1-J.s-0I'Sl'I =n:Jo0L=lV oc
qn:d uruuqqo Z l 'C rqo atpod sc{n-qsuol altlrnau flcqels qtolud ^ norqnz'r' ppdeu 91eJ
'anSl[Z
'9'e pspuld
'1[e4u,lau ,t1;s g,roso ap 're,u |[af ual rueE |ne^algo as ?l!?m
Alcuels f,lElmos n ocurFn ',{,reFnos qralrud ,r ,(1;s g'roso flelsnos ?lao rue^elqo oqau qrud oqEaqqu
€rt
lv
h
r+4 fqrl tlu'o)loP
tadJHsnooNoT'e
. LL-
(q?l) ed!t. 6'91= z
o
ot B Z ? nlud uleryIloeu ̂ epnq lu,I"qeureu r$^^fau e? .lp^olgtsuol orqoru ef r,r1p-a1s{a 7
\LL L',lv_rlv- tlv_ttv
n4_unupod ;upuuuoyap rysd aurs7r.rur g1Jr4eq4fo4 qsouqopod 7 .qcru
,r rure|s nu-f,roqel rur,(uepepodpa;d s ?poqs e^ g^oqBt o4ef,{ualsarleu nosfT e ;, glrud eozuuo;aq
L tsoNAsd v JsoNznad
(ryn) [ean]q'oE = t,sz.. =to.7=1.7r.".:=?=t""1,
Z(qer) [ean]o'sr = {sz..E =to.s=3.7v.".1=J='o
r -rv
({ep) [ear\] e'sz = -0t.2.2.0r.._0,.r,,,.f =a., o.".+=+='" t'N
nopnq uolod qce1rud ,r uqdeu guepelg .(- o4uaureuz) ryp nqPl olslu apnq
I nrn:d ,1 6 e 7 rurud n gu,re:ds ,{1Xq Fs f1s.{urs auepgqodpa;d aq .gufep ef g4pa1sf,r olqcpr 7
t^v.J.tv.D.Z='N
(ogs) I 'v.1.rv.D.i= "N
Iv.3.rv.nj_= N
qcaln:d,r Xlrs o:d fqelz,r arueue$op (62.t) .(q .e 97.g) cru,ror laalsnos umrasaa
(6zi) V.3'lV.D.Z=tN.Z+rN.€+tN-
a,rerdn od aurauelsop (LZ t),(ry1upod op (g7 g) cruaor qc;u19ry2,! ur;uezesoq
'(lry Alls a^o{en auspeqodpqd po ruatg.rlz az s n^e{uo po Jue^mopord z gpegs es 6 ntrud eceuuoJaq)
(8zE) V'.3 -,.rv.p=trv : V'? =r,o v'1t."N
='rv i-N=-tv
, ^=',,nopnq $ru^ol JurBTz,(C
e'e e.€
-82-
tae(l=- -ne
{por 'f.,ro1nu ay Xlls ?lpqosBd
.rnsod gurfap ef q 7 g :qo ap gpedgd L'tt?^ lhounlpltsD) u4r!?n ll;el a4 ,(ped;4d or,{1 1
'llue|'uz sU e lfl?^z qoupoq olnl o eE rU ec{Rau '9 ttsoTte^ nolu?rll9 luoupoq noulels o Ju?trE
rs ?r{Eer 1upo4d a7 '9ur[ap a[ 1'g npegl;d n acluar ord,tqeP,\ os plPals4^ olqc?l ulrugu orod
(ze e)#r_Tr=aa
#n.T.!='aruc,r1 aA atlsar ord {qep,r nopf,h nolqrupod pleuuoJeP onoi
s ltsd 'Sl e rqo elpod rclear,(lsftus ll-aullo^Z'eU lJlsar plond,l ryt e g n:odo;upods eu t lpasop
lednols 3 A11s urJuaqosgd ,{qe gIBu IBl af g sloupoq a7 'eurgp-cgodpeld gufapoures ruolqg
(rr s)g=lv -alv
apnq ppedgd olurot ,r greq 'ulu,nupoci
lupuuoJep oznod es tu?uz l e npe14;d n olXq nrnol oryf 4uqopqo el3cz ePnq ;ueqe1 dqsog
sl'e 'rqo
'qdnols qratEl qcdalpoupaf ,r Sopfdeu r
gulaldoqcod ?{el urp3 ru e su lclBar qsoTle^ es lu?trE'(sI'€ rqo) 9 ruosPoq noleul o l[uau n)II9P
no^o{loc tlur ePnq hp"dlld oq?lQmeu flcqels Juogo; dn6od {uceqo quirozuln eursf ul.'rol{ zu 'I €
npe14;d z ladnols ';deu
7fp; ,{,rupnos ,lt4euloa8 gnzp frpuzol 9usald guau d,rsFnos p,rrd {ragpu
e? trlr ?{sl ,{u2u,r11ao I4ur2r,r 9,rops ,lhu I Frnlu p,{q noqou qca{1t1mau {IcEe$ ^"Fnos n
ltsouso;ldeu - !llt^ qtlu?gluour ̂ll^ s'e
'6/'
Lt'f 'rqo9t'f 'rqo
'N
'nure.q rx?qu epuolop eu nosflsprgz lulo6 "0e =d'.SV=o lrnu969=graf
{sd app ?dlll 501.2'Z=ll =zj1 = 13 npuepur oqgufap ez luaqor,{,r nostey -zyr = ryzaptd {uQrs;.feur,{lrud.{urlcoiA ̂A?tsnos nqauroa? opp;,rodpo ,{q r17eu 'unu g'0: g o y;tzq af {.laq ? ntrud q4uour
,,arqrseu,, od 9l t lqo apod ,{.te1snos a,rotrud gtqmsu,{1cqqs qcolrud A notqnul nqdvu eryt eleg;1
9'f pBpl;{il
'qrud yuaqruod 1 ?upadgd 'p-uqgureu oq?uelo^op
lue?oqald I tlfop nrrud trraraDl?u ̂ eqlua 'lre{gvz oqnzoaord po qsoEfdsu s e?g-luoru po lsopfdeorupo,rr;d ofnuod:edns as fp1 'ao{n4suol tu:lTovz lurnrzolotd urylszl,r r;d e .oJe1;pdau urepa;d Ju ses e4olord ?u?edzeqau l4q e?Brx l?_?tuout ,,noqrs_Eur eJ{n-qsuol op guasau,r lsopldeli .ppdeu qcoln:d Inosf ac4n4suo1 u\ueVgzgz umlsel,r pald p1;:f Ipal '^ slsnos qca1rud qc{,rrpoupaf n f1;s 9,loso g1o,,r,{n
?_?luotu ,,eulrsgu. olBAo{"I rs_eu prTnod zaq treqoqdz umjl?uuotr e3{n-qsuo\ zauoru pa,rotd a4eu(lsousaldau ruqo:,f,r) rElep oqeu rll?q 1rud {:at11u gtu FelI .X,relsnos e,rolud 911meu ̂rtrpets n
q+e.a_q+e.t=a>t
v'?" ct -lpdo fpal e
ef
V.1'Zv'3'ztl"ylD*E7g= n
af ayz qo4t1e1
(€r'r)o- ="ag -ne
re4 qceped;.r^d oqcgt ̂grn Dqtr ndou41317so3 .7
{pal e g usolqa,r uanol ef ,r.nsod ?U flF nlsfus gord g npoq,rnsod "f St.S .rqo apod ppedgd I
L tsoNA?d v tsoNTnad
-08-
glsoz-V.J V.JE:z'|=zizi="tvpsoc.v.l V.J --;ji-=Tzi='tv
(8e E)
(e''c)
(se e)
(" r)
e.z e -7r =r7
nopnq acrurror pp4tzfg
d urs-" = zA "tv-9
nu$ ' ---- = Li,IV
eP,l
(rr'r)
9,r{1df,r g 1 'g :qo 7
8I'e 'rqo
.(Z.e peplu^d A^) nueqoyodrurrupo,rgd s alq?qou ol nosf q-aluoru od prud {qo1od aq .Jua;npoupafz e (9,ro1u4;d auelsgz g4u2,{rsacrufods) nure..q ur?qnl opuolop eu qr1up,{ts ;ug1s;um o1r7nX,l o1,{q ruo11;4 .17_uluour od nrrrB-q oqaqntsl€uoTop e grud uqolod aoe?evnu flra o1rg? af n-122. rqo n .gl.e .lqo apod eure;ydeu qu;upod
IrpeuuoJaq (9e t) lcTu or emod eurelpnod;uaqsl 1;Jup o.rd e (9g.g) .(1E.g) ecplor 6urllsnd.{A hrnp,.uoqaqnl al"uolop g nda2 u9u1o1o n lU oU 6go1s seu yfeurrlezau e ,zN e tN {Us tlrslfz .{pe1 lca1rud^ u?deu lr?m eqap af ru_epe'z alpod o? ?truol I urepe1F1 .auprzou r.gig nosf qc;cnnol qcas eA
333
nre t a Alqrupod e{cqels 1esdezl nlelsnos nolrpm {1cr1u1s noppz^ oDlst ord .(LI.t .:qo) 161 nps no^olsp eulgpgplodpo;d 1 rurud
A W nolls no^orlBl etxlperlPu laurpg Toqel I run:d ur;upuetspo aurapelord ,itulmos ;ugqo,rg
:luaraa
g = gl uts. e. 7. rN - nr1t. s. rf
g = gluls . zy + nuts. tN - ^d
: BI
T:.N
g=glsoc..1t1 -nsoc.tN+'A : "N
nyvlt v nHVt oHil?AnfN AyCttvts Aovdlad THcnooNoJre
'L8-
'd rrcryp oua{pgfX^ aqes "u r.r:gnorl ;ueqosld gnurafgz,r af cp)t .02.€ .rqo eu oue*uzuuaf rupulo,rg .rgruolod 4u[ap la^moq eqo ord p,role,rn ;uaqnpoupafz o.rd orqour ef , ru?ruolod
I?tl^ ?Ptu nosl ts 3 rs ,,fu?uzo: a7oto.r6 frprnau X1oqe6 pedu^d o es gupef 1r' ;tso1qc,{r no,rolqr,rs rcelo: euaqo.rpod (6t [ 4o) ^lnrmssu ?ulo^ nprn Ez oqas eu nosf 9:at1 Tl_pFepur q34uz[l z BT{noqnolp Blelsnos rt-apng 'nT^morl oqlc;fn1or tsopfdeu eus;ag u1,{q qc{rpm ,t1cqe1s r.lpedHd n
A47nor1!r!Jnfo1 9't
'FroTltrl"z w.vzo^ord gd eclnusuol
lu-Dqgurpu ;q19,rru4;d ef ua1y3 gqsXurg l,relsnos op ;rpdeu 14_utuour eu4;9ua ,(p191r1 :Drlwpuzod
'Bln:d Fr-uqgu?u ?uqerz rTpuoru od ;qosgdz
(rurr gE11 qnrd ac19p eu uru g'g) lsousa;dau Fqo4fu gleul ?ur?ruod e? .gtlla;z at 41pe1sair 7
o0gsoc-+
I
ostsoc.o9t zurs
.0t zuls'Z(qer)leawl r'zr =
()pI1)lsawl s'os =
e}t.z'z 9'0O0S'Z z
o0gso3.o0turs ostso3.ostuls
.sluls.0Euls. z
sot.z'7
p so). D z! s
d ,uts'7v'!l
aur-?^9lsop ruolod ruazesop u.rgulesl? od
V=_ =,o ',
nosf pgdeu guepalg
00S t
s'0
Y =,o .N
gl soc'.+I
ff='* 6lsoc.glurs Dsoz. Du,s+_-,_
a uls d uls .Z
v'3e':=,^,c
eu,{1d (69 g) e (9g E) cruor uryraqag
(6e'E)gl uts . gl soc---T-d uts e-e
v'1 IDU|S.pSOs
,^,
g-rerd9 od aueuelsop (ag.g) nqqz,r op (gg.g)
tru or rfsJul_ellp.! ur,ruezesog '$rld) + o{u?uretz al Lw otd rcrurror ;q.e4z$ e^ e?Jel tpelnos ^ef?oc?'?nrrudpacgrlzue>pc1s1iraf91'6.rqoapod€nltsno^oleFogupates,rZrc?uuoJepn
L tsoN(sd v tsoNznad
- z8-'(dlo g2&u gt'opo^qo ?uspelq epnq rDF-noq qrezol ̂ B ol n)pp po pp ecrupelsl0r lrqoqd apnq f.nq zu
dp urelq4 ur,{,ropags 4ur?ruenro (q 12.g .:qo) tuoruala auaurf,{,r nT^moq Z (s I Z.€ rqo) d ryF {uappzor?ueulou^oJ nlu sz lqoqtd FaLI eu ? ,Clll 's ^lUnon r nryrolod u!runru o {o.^moq aIlrQN
'd nI?[ po n2deu g,ropo,rqo ordtptz^ lrpo^po eqag e[ arudfau ep .d n4ep po ruquolod nu?u.v trpo^po az1 uraqosgdz u-r{uqopqg
(sr e)
@v s)
aJBlor lulsgl^ po
(€r'E)
\(9 L'
(r'.s)
(0t'f)
ord aura;yd nluJurpod
Izort'o
=(o))V
J=(o)'3z(D.zJ.d
eceror po ru?uJolod euguz uolod e
n{?noDl
(n:?rus u.r9^opo^qo ,r paTrolpord 9u:purod) ac"urroJap glopo qo gmgruod epnq
zo. z!.d = (to ),o
et (7 e1o1rde1) qTnoq u4.f trqol ̂ Indeu grr.opo,rqo a1o1or6
-n4ep paqosgd po wgntolod euVtn . . (d)tV
e."tor Fqs?l^ po ru?wopd evTtn ... (to)tV
(d)rrtV+(to)t)V=r!V
(d)rtv-(ro)rrV= lV
epr
?ulo?qo
ttv = /v
nre,g e,r 1 rgurolod {up{p ord fpat .Ju?qo^n olsrurru?BrruoJaq 'eur?llan elr?mou ,{1cuu1s geno_rgz e eurywz.tt uulpef ef d ry11
0z'f zqo6t'f,'rqo
nyvlt v nHVt oHtrlQan3N Aycuvls AowNetHSnooNojFT
-88-
,1 .rS t1 .tS+ -- ---
(8t e)
(0t t) Jcru^or op ruluazssop
\Ln t)
(9r's)
('a ?tl.a
-,a )' ,' '
fi=ror'dtp. t. q. d = Op = dtp. s. q. (d ), o
=d
'a ''s
nre,r1 a.,\ tupgf ^ ecru,ro.r olgl z ez1 d ryn 4uryuzaN
'? '3''s 'z-j:{+
/n-ra=7-d --
o'-iEsurerjulsop
qclfaf e (7y g) e (tt e) r,rqplz^ op (w 0 e (sy'g) cru,ror ulruazesoc
f.s= .=(d)tv,J
.d
d rupl po ru?ruotod eupnrz molod u
3'szt= (d )tet'd (d)'o (d)tv
apnq d qen po ug^oponqo ru?urs aA peTnolpotd grugruo6
EoqQz
'r 17 9 rqo apod 1ge1d lsnu: nluarualo Bu lrs qrlug�-�rrr--
I qcllhu nrlB^ou^or ot4 s.g.(d)to usoTla^ o nlls le^gp s.q alold eu apng ugdeu 9^opo^qo
q.dtp-t.d =6pa7 'gufay at nnzetqo 7
I Z'C 'rqo
(a (q (r
J,Pq.,d =
L tsoNAsd v tsoNznad
(rle)
(gg g) ecru,ro: op ruruazesop qcrfaf z
\Ln t)
(9? S)
(t
'88 -
'z.'s '1 .ts- -+II _=d
('z ?\I z4 - t; l' ,to't\-
-./
nre^l e4 lqDgl ^ a cnttot o1g1z ezl d {ell 4ur-EuzeN
'Z ''s 'J 'J.'s 'z-------------- -,J.d ,o.rJ.zd ,J.d ,to. rJ.Ld
eureu?Nop(Zn t) u (IyO r"rqep op (tt t) e (SV.O rruAor rrrruazeso(l
f.s: .-(d)tv,l
.o
d nl1ell po ru?tnolod euquz ruolod e
3's?tt.d (d)'o (d)tv
apnq d rupp po ue^opo^qo ru?us e,r paTnolpord 9u:pruo6
j�6=ror'
dtp - t' q. d = Op = dtp. s. q. (d )to
?oqe? z
'c 17 g 'rqo alpod 1qu1d 1mu: nluauale Eu lrs qclulrrr,:.
I q.ltFu nrle^ou^ol ord 's.q.(d)to Dsolrle^ o nlls p^9p s.q e;o1d eu apnq pgdeu ?^opo^qo
(q
q.6p-t.d=6p
I Z'C 'rqo
aq'ql.ufag. al rrytqo 7
(r
: q(d)h
$pq.,d=
- v8-
{qe1z,r ppdeu ord JlaryWf,^ (gp.g) ,(9y.0 4qey^ e 97.g
'rqo u41?nod rlcp?noq qr4^rpoupaf ̂ pgdeu 9upe1s{,r lgsrlz ez1 d n:pp oq?u.l?odd^ ?pe1lgz eN
n0l.z'2. f_0I.t 0I.z't. r-0I.9
lualrrl ls'o - [ea] lturgs = ,l I =d
(uot'E'z rr0l.z'r) / ot \ | -_- _ __-_ l. |_ l.2.0( for.8'r ror.6'8, .\ooot.tl )
- -
,{1^znor4 rzeur ruaqosnd 9rro1e1l 1ut;2od,,tr oqoru af (gg.g) nqelz,r epo4
:!uaraa
.uIuI 002 :J .ulu/ro
000, : u ^pI .rrslor rldunu t : zs 'edl{
sOl.Z'Z - z3 'rur781 ,91.9'4: zfiuru 9:,s .EdIAI
e0I.Z.I :,J.€ur/EI e01.6.8: rcl
:oupo
(r) raz-noq rus$ !r-ef ,6r., .rqo apod q.!'?no-Dr 0",",r*",T"jlffil';Hift1"",rifit-z'e pEptlld
{,{toldor) n rago po ruguo1od lopnrud af 4V.n = (|ry ap1
(d)rrtV+(lrrV=utV
(d)rtV -(lrtV = ,tV
e4 'olueyd .{q ap1 '(Zl e)
'(t I g) qclcruor rr e1,{q ,(q eugur2
'3. 37 o fig;qo eqo glod e ,$nunseu aqos eu nosf groq lpFepu:
qcAuzy z 4a^moq qc{uqopqo no^p ped;;d 1 1y;a; as {q uaqosgdz rrfuqopod :olwpuzod
';ualqppo qcrfaf l rceror gd,(q olgop',{uafods qu,rod (1,(qeu ,(rynor1 ,(q e7r11so1 '(uere,,rs 'gdau 'yuafods oqgusd qcrfaf npegodpqd rz)
qat e[ II 1 i$gznoq zaur e p I a -rrta '] r ']4i(p:J
pu2euo;
? = d urotod r"
= t+a7'ppedsd
1
'{?ll af ll I ^Tznoq .,au a p 4 y' urolo o' r?.
tE uo*,
nvvlt v nHVt oHilQansN AyJuvts AovdlHd lHcnooNosr 'e
-98-
luawts'rs = [ear ror.qr'a = -i:t':-*.(on#t) iZ'o',0r'8'L =,,'o
leawf s'ut = [ea] ror'sr'r = # ,(rn#t) 7z'o'r0t'6'8 = ,'o
epnq Jueze sop ul?qasl? od
zs
fi * rr' rt'
zd = (d ) rr'o + ( ro ) rr' o = rto
-L- rr-rt.Ld =(d)rto-(to)rto=
r'o
L tsoNAld v tsoNTnad
-98-
p?deu qcf^ol^urs lua?Btz llgpoupafz aua74u >7el e fil =^xt ldeu a7 'aua4-u1op lQPzod
.xA| ,'122 ,zx| 'n2 'zA, 'Att e zg tt,� 'xg ppdeu 1a^zo1s 6 ?uceqo euryIsF {eI ru oIIDJq oq]uJ-?lueul3la
q39u?ls qcal^ al auspo.,ro:d pePlzol olual ( glzjqou^or ppdeu oq9,ro1,{rus eryo1s -eue,ro7e.m a[ 7,m
s '^so r?urs qqerz xapur i(qnrp s pel p?dsu e^ol,{rus o1o1 4u ,r '.{ur,ror npuuou 1lerz 99duu qc{,ro1^urs
n xspur !u^ld) 'zx7 e ax, !t?d?u ?^ol^urs aureu?Nop ,el e 2 e,( nrjeso s qcfqgqouor le?ots op
eu!?olzor ?UO[ d etlelsou "u ppdeu 9,ro1,{rug I aq*o.t rr rcp.a1 d ,{4uqd op e (xo p?dsu ?^olBuuou)
u .{puuou op,^ F?dBu ?upels4^ eul?olzor (qI t lqo 21 ) x 3so { ?lt{olt pur,ror 'r ';de11
'lqosgd
?ru A 'nour^oJ s -e4,rs pgdau o1o1 ,{:aq lxelqrl ?ltef le^4qsz as.er4nu ol,{q fq,{p1 'a uppdzu uta{meqo
s rJe,rorado uroqc{qfP)t 7eu '1;fgopoq{,r uaqorrur qcetpda{,r ud o1 e1 'p^a1
?m or olgl ^ Frp " ?uqol
;qosgd nu ^ ?rIr^or r?g^ of 9ru4 pqdeu e,ro1,{uls a ?Aol-?uuou Bu arugoFoJ ;ufu p2duu o{el z^ e
tA 'xA tf?deu;qosgd z1 y Jqo 3u nlouejq qtqu.l or A lsouloz-su nolorolso.td }Fdel old smod ul8u4^
lleur nllouurq ,&?uzor gu?ouol 3 ssal?l npoq lu?uloz-unz ol ef a? lnnop?^n IBI^ Is ?qon 9f
l't 'rqo
(E (q
tAtA
z
'7tta\
"A
,l
na?A
A
I
'(e1 9 rqo) lalouurq yupuaurala fiao 1r1se-q qclclqoqd qcm ,r opdzu qcfiryqq d e rnao: 1p
olqo?t lu?uloz-eu u.{Jgerfl ud uelA^z gMg uapoq orup qc{ue7o1ord qcgur,ror qc,(ur1o19uuefirzr qcep
e,r lcrqosld pgdzu q-eum-rz 'EUa?m ?u$rzoupel "sepl ?poq u?I?m ^ af $op[deu o? @Top .fe,Q
$opfdeu (esooupaf) g,ro1urg^d u 6opldeu (gsoto,tp) guur,ror nosf llsolgfdBu ?,roroFord .eueqo '(pedu^d
rurnq$Bl^z 'osalfl ?u r.qu1pr,r qc,,&rop u4uaqoeld -s-rl.IE 4rtDl '?sel?l ̂sF frgm eru.e,{zuu Fsop[dsN
llsol8JdBr ,(qn.rp - fsofBfd8N I''
INsuo^rsud v IrgdYN'?lNlUOMsHdv UldvN',
- L8'rlsolrls^ o (qz t rqo) ro u?deu ?^oBrruou apnq lunjd oso gulgpod { rll?ullol
'nzel tuguall^u ̂ urolod ?z t lqo J nolls no^oso u-Eqetueu apnq v nzellljd owr4e$uol lrud ?fp)
(gsoouPo$ g,ro4u;;d 1so1u[duP X'7
'nosooupe! oqau nosofo,rP
ru olzf tsotufdeu uu lazqqod lugqgtuuu qraprd;.^ld qlflo;19u a azl nrlouurq oqJul9lueuale
nqo;od nolrrn oJd omod 'eso[o:; J1;1 'eaorolsord lsolnldsu ^!lotlgJ,l{ af Euraqg
:larrzod {tr7e1gp lsaln nPoAn,r pauq Xpet aura4lp1 g,ro:olsord
rlsop1efdeu ,{pedpd ruryularcads nosf lsotefdeu 9,to1urHd ? guuhol eq 'gasfap ef oq91;epe;d 7'(nosooupaf) noaoluqd
lsolefdeu o gupef urotod es ePZ '^ = ro ,t17ols e^oplluou nolunffl s ?^o1nu 't>go1s fuqceg'r
nopnq'x noso s atq?qou ol af0+x^ eg=za =Aa p?deu guoaqo ldeu,{p1 !ed;;d Jrqarcads o:6
'(asoto,tp) 9uqr,ro.r usolefdeu o eur,'tn1rr epz ?^oFu nopnq fryz.o1s ;ureno
e,x e Ao'xo ,Cvols nopnq ol cl ? lqo n ,tx nour.to: s 7qu,ro: grqgqouaoj ,(ryo1s Xuqca;'r nopnq
'0 :z^ e Ax norn^or s ?tq?qou o.l ?ul^ol ^ I?al'{^ e x^ (vl l rqo) pqdeu gucaqo ,{p4 'ppedgd n
'qsotefdeu (gsofon) 9,roro1so.rd o e{urlnlul ',{1nu po 9tzg gureqo gqdau Xryo1s fuqca;'r
nosl aTrpsel rlgpzod ouqupo,rgPz apnq ?oc lqtouerq uryuerq I ?uolser{eu nosf ppdau g^o{^us
rI'' 'rqo
Ii.b
b
I
Ia
1-o l-D
7L
| -rJ
lp'rJsa
/l ,i! |
hA
'c1 y 'rqo afnzqn r.uu1?ols 9 noua.^m $opf<le1q z1 *1 tt Frp?dEu lu4^o)|,{uN IJu.J.tge to '^o
,xe ltupgdeu mra{aoFrruou lrrEn ol e pgduu nuqTols nsag euo n ,{pet af esept npoq urgtr2rn ,r poffdep
L tsoNASd v tsoNTnud
-88-
ct t rqo ePod aus. ̂glsop ' /V nze; ̂ lqosn d enp1, a2 n1po1s norro:1,{r:s e /o nryo1s no.,ro1_euuou or4
(t r)D Sot. 'o = nsoo.Y-:3 = "nJI
ueld 1so1r1an oqaf otdeda cuec;ewo q6'y'.rqoa efnponnp
olqo?l z e ggdeu auoeqo o gupaf as e?ryI turud noso s ?rq?qou ot epnq dy nzq ,l ;ayqosgd p2ciep
p so)_ = "l.t
VJpeld dy nzel oqgua1q,(ru
,{qco1d 1so{1a,r old ruolod 1urud aso ?ul?pod )t gu{ol apnqau d "ur^ol aIB .(gpedgd rnpoqcpe;rl
,r olef pu[a1s) ?usar{eu { outlol ecrs auapa,rod (eg tr :qo) d nourlor ze1 .,(us1p,{ru Jt?l^ ?,{p)
(rt't 'rqo
(c'(B
l---z< t t_/{.}-r. -l_ ___Et,.,V\7^ t I fqb\/k
1so1eldeu (no^o{ury^O nosooupafo gupefas l } ac "lspo
epod e (c7 g rqo) 'xo n?&u ?^ol-prruou amod lrqoagd epnq nllloueq ?ufls olel ,r ruolod hzel nour,ror
s norqolol (t nufls ldeu) n"?15 nupaf 1pr apnq tUrud o1oqo1 z,,Qnuf,{,r lelouelq Fug1rr.rurle e7psaf
(z r)v =roJ
z't 'rqo
(q(u (r
NSAOMsUd v UJdvN ''
-68-
frsld (9't rqo) /i e ,zl qcguvror,r ;cyqosgd ' .a pduu euceqo ord a41e1
p uts__\ (s n)
ef rynzal ,{qco1d 1so111a1 'gl e d \r.zxt
urupo,rgd I ouIlol ot e ' ri e ri Azal ?rg?qou^or s^p !!1ep (9 9 :qo zt,r) rue1rud yu,{u erupen'rlqpzod 7e oq eurape,rn u ryanJurs uaf ef ggdeu oq9,ro$urs olugurzrz ord opr,rurd otord (notq,{usn
lqoqd rua:aq e^ 2er Esus as fp4,r) tr,ro1s,(,r oppad guqopod 9loqr'1 .4.u updeu 9,ro$us ortr '(gu:oqz
a^olap ? gupeg g,roqa) elorrdal ppo,,rqr A rlpa^uz ausf pgdeu oq? ol-suuou o{u?usr.z ord opraer6'lnormsod puruafgzl ,(za; eurqqo peus as /r pgdeu -e,ro1,turs
oiurrluz 'trl_rppo eqos po ,{zal ?lq?qou oJ ?qo }-{eus as d e d ?urlor A do gqdeu g^ol-BuuoN(r.uoqoA
qcrclqosr;d z ruoupaf od omod Bza{ z ur?p?el ̂ euqlsoq lsoupape;d ord ap1 '(qg g rqo zI^) r?trs
a{upedo quurofe-z,r lfeur qcgur.a.or noqo ̂ p?dsu {el^V (t'}) nxacnrlor Eu??m of lso41e,r qqcrlef ',qpduu
rqosgd ((qe.rourro: f4ryrpod 9pqe1s apod) gza;grd qcfgnz,r eEold eu 1ed '(ey y rqo) I e d Azal
?rq?qou or B^p 'J nolrs no^oso u_?rlgureu ai ,freq tza1rud oq1ruelsuo{ ura1rud 11-etuapel
r't'rqo
'I t ec^eFPo
oqpoqcpa;d nsqngz n qrl .r1an{nod .uts[ ruqsoluldeu ru ,rrpoupef rzoru fqep,r guuefgz,r o1,{r ep'no,rorolsord lsopfdeu afnzgepJe-reqc ural^o oI'?^ole,uuou
pgdeu e pqdeu oqo,rolfurs Xryo1s g,rp Al^q 'nzol ?ur^or ̂ oqlcfz^et h{louerq oqJur_Btuoruale gupts e.,r ,(q
u.rolod '(gusaq_eu 1 Xnr1o1 lXqeu dq Zfprt) ?uceqo slacz uspa,r 1{q tue1rud ze; fq 7i$1
'ppedpd n
'nouuriror lsopfduu efnzueqzreqc 1E,r o1 'oqglolfius
;tgdeu e17o1s e pgdeu oqgirol_uuuou elgols afiqsxe fpal n1rud oq?uurlgrtrBu ? oso nzq rrr?uDIr.l A
v
(B (q
psoc. purs. x o = puls.
o zsoc.xo = psoJ,dA
o,2
(''')
,rl?dBu .BAoI{rtrs .?ua?nrps I'z't
L tsoN{ld v tsoNznad
=oo
'06-sdIld Joqeu
'4lsuyzeir o rlfzetrnlqg Bu of q.gur or r{c4u{ol ?uurafgz^ no^p aA uedeu qo4^opuuou F?nos o? .eups![z .ef
ll-eunl?esIel^B ?tz.ru nosf qcguuror qoi{uqo1 guurefgzl nolp eA ;pdeu -e,ro1_ururop .(qf.l .rqo) n{lorrBrqtfipu?ls a^ rqos4d _BreU 'gldeu
lcyfnpm ,(t
il e G.i ecruao.r rlpuqotopod ;ufu aufnz,{puy'9'V e qyt.rqo z eur?m oupeus rpurs qcrlafu nllormrq uu;pduu qc{arltoupaf;uqfs;run
'ngq?ur ureuafl?^z aA ualsarpu lsoupaga;d o:d nazerqo uu af 1s1oue.r11 (L.i e (n il nuecrulor
?ue?m p?d?u Xryo1s ;qoqd qc-uu9r oqef ̂ {"d .(qt.} .rqo) qrud z {olonerq 11+uaurt{1 .(e4.tr
'rqo zn) Ialouer{ Fu-?luauolo rgrud,r rfeupdir .(9uqo1 uafp,reu) h : rn e d i d fc:al;qap;c,4
(t v)psoc.nu8.'o=^tr
D zU:6.x0 = a0
,kar,,{,r q7o1s nono1,(urs e noiropuuou ord aure, aglsop (g.7) nqelzir urprTnod uolod
(9'r)
psoc. nuy.Y = DSoc.^A -- a 7J
p -uts.Y= puE. nA = ^o"t
9 9 :qo 1e7op qca{uqoq no,rp op pdo ,a u3duu guceqo q-aur,z^opo1
Durs.y= .J\
J
9't 'rqo
s'' 'rqo
lNlHOAt3iHd v lttrdvN'?
' t6'8'' 'rqo
(+)j(+)x
'o1u9uleuz 9u[a1s ,{p7,r ;[eru ppduu oqa,lo1,{urs
oq?ua?ups ,t17o1s pqo o? '(q 'ug t .lqo) eufld oqguepe^n 7'aatodq oluf;rgde.r s,to;1,{us e,rolet
as afncetrzo '(qg l :qo) nrugts,{s oqauper-nos soolod q34up?ll 1s.{urs afTeu ,{uqedo pgdeu oqg,ro4,{uts
1s,{tus qur,ro: oto^olel ̂ rpel nualsXs oq?upelnos nosoolod noupsll s lsfurs {rrpoqs olgur pgdeu
9^oleuuou oupell aue^o?s^n Ju .r ,{qu 'n41nupod p,roglds gusepnos ysmu ]qos4d ugdeu 9,ro1,{ursolol iloDl a^ ?u^ou (e3 9 :qo) nruals,{s oqguprpos ,$o 1c1fep;,rodpo ura1s,{rus uq(upe11 s afnpoqs as
1s,{rus Toqaf'p?deu ?^olXrus ot eurefn?B^od u?deu a^ol^rus ?vpeg eZ qsorrz,rud ouool ?{rrleuraletualpod qcpqdeu qcd,ro1,{urs qc{ueprps n>Ju?ruerz o opmerd m,rnprs lruldop 9,q{q7 rlcru po oqau
ursuurq I aurrlsarl pgdeu e,ro1,(urs go:d 'po,rr;p r ,{rutap of p-,{p ( 1 7) ,4qzrz,l r rpzglop erusf ul1'!u po [ry?uts ?qo oqeu 'pospd
?t|c1u a'ulAot !5!u?asptd Lpnq
fry?us ?qo e? 'Frc,(uts 6^orlel few e ?u[ep !rsor!!!a^ op oc nos[ 0ze1 otqcal lclu?asryd
tt otulorl qrezel qr4,alort ue[p2^eu no^p a^ ltlqospd lt?deu qcfao4iws itlTols
:nrz z usoqrud auoal ,{uo1e-z Jupe11,uz rzaui
;,oed Tuaf'qr;11dru qr{,ror1,{us qr{uaTnrps o Brror1gz oqauuerz{,r op auofnurqs lepaysf,r oiual'(q1 y :qo zn);u po oqeu ?uurq 9u1alods arl.pnq gqo;qoqd fpza.nlz?rqo z ou.I1ud
a[ rleJ e guJals psoqJla.n op or nosJ qr-sqr or qJfurlo{ auuaJgz,l noap ,a uaduu g,ror1,{us .fi
(E (q
\6 r)
(8 r)
psoS. puts ''0 = 42 = d 7
e? 'euqpl ugdeu 9,ro1.{rus ord ecru,ror q-eulgu ois 'aPC
'o =(n zsor+ n zuts).xo=^o+oo
4'' 'rqo
(u
I tsoNt3d V tsot{znad
(c
ells gu?ol 9trp9? Iqosqdeu (1 epold ,r efol) qud
nqcr,rod up (qgt t -rqo) nll-ueu uauosl?Az en lef auperzeu e {elouenl Jur-Blueruele nze;Trd oq9u1q<i
ns^iqo uso)fzllq ,r aupu4.{,1 s6t t rqo eurfnpal5 {qcnpoupal ef pazr^l oq?u.pe n zelgq '( podu
rue;r ';deu) eJrs 1;lqua eup97 rqosqdau nlrud nqcr,rod ruy;lqua uu 7fp1 'ns,&qo q fupt .rprus pldeu
o;o1 gru n1n:d nza: ns,{rqo psol4tq ^ IEd -lt?dru 9,ro1{urs nlnrd nzeg u9ug4d,r ll-lqosBd
\aPalslp'eqcp^edeu qc{,roq,{us qo,4uaqnrp o zuoryz rypepttp {tpagp rurud ef Zwr ?t e ̂o 'ro plduu ;urqTqs Juql
Eue1.rn ^pel a[ rsolu[dru guu.r oU ]u{ol I pur.tor 4 af gnq '/r gunor rr gdeu orp,ro1fus p,fus e 5o:ga,r
euaqrn urq af 'g?dsu orp,ro1,{u-r porya,r e pfur sur;p,,tz I gur,ro-r ,r 'qdru tqrnruals ur,ror z ,eupof ,r aqr.pel
6't 'rqo
'6 9 rqo eu ,{uegerzeu nosf pgdeu olqc?t {ls{uls
e ,{:gurg ueurgts,{s uqirocnrpepos ur{ua1o,rz as ?IzJqou ot nosf Xuerq Toqef tqloueJq lu,mlglmtuelo
nu lqosgd ;1pdeu ole1 usopldeu ouur or glr?m r, e to ',o ppdeu aur.uu a7 'eufap,eqodpol;
tppalsvp'I
qJ!t?dBu qr4^ol{us qr4tre?nrps o BuoIgz az lJnou,{1d ,Qpalsgq 3'X'9
"al i
,t1
INJUOM4Ad v UtrdvN ''
-86-'d.z rpduu ruqrus arr. e do ppdeu rugtls eA Fs ̂rplou ol
laururpod no^p az eu4?m gsaq ar e do pdeu oqouJeqo ,(17o1s gur-erzau rupezo:d ?Ap e 2, e ro 'xo
updeu uurerrz 7_rf rqosBd ntuourala rse? DN 'ez-?^ou or ^ lpdo nluoruola lsg? eu p;qosgd ,{gs nosf ry6'qll
l 'rqo dt e do rurppdeu psgp olqc?t noqo laur?g $u:u:afe.z^
llperFu nzal ?ur^or A aulsnur 'qsg? ?Ap Bu rrleual (Zt l rqo) lueruala ll-5tu)l?pzou '(€l'i 'Jqo
zr,r) r 1eq4 fnonr^oJ s ejr^s fuaP-'d tua4ugucaqo,r ggdeu 9,ro1^tus e a,ropuuou aur,rgaq,{,r 'ldeu 4e1
'r19deu rure17o1s ruq{uepez as nllouerq ,4uqls nosf 7eu 'qcerrr,loJ qc{tnt,r pgdeu nopnq 91ef'aurlq:n
'(Zl i rqo zr,,r) yrs qc1;fgu,n n)iur?q oqeuaqorpod ?sel?l oqaqrud oq?)p&u z oqgtnu4l,r 'n{ouerq
oqrueluorxala ̂u?ls ?u rurclqosld t1 e ^g 'ro rureryols nouepuz lsopldeu nouurlol arufnge,rn
lsolsfdBu guu!^ou €'t
'qrud nqc:aod eu ,f11rurpod
a,rolulo auapa,rn rypeld '9,ro1nu,{p7,r nlgo:d nqor qsory}lq.r pqdeu g,ro1Arus aupsls{l,{pet a1 epu
auAor ??u or ljq SueTnrps Z e L q.Vut^or,r nupqdeu s nosf 7ef 'C
?ul^or ,r pgdeu r olord lsny1
g=zt e O=11'i1'apueu,rorT z ;, qc91;o1d
,r pgdeu g,ro1furs nosl'fu1o,r af qrud qc:,rod) Xlrs r;lpu,r 9up9q rqosr"rdau a?^1 nqJ$od Bu e?olord
I I't 'rqo
'rupH?ur ur9uafl?^z a^ ualseqeu lslou?n{ etq1 1 y rqo up a?.{r ?:lcqeuzud z (41 1 tr 'rqo) :ploue.q
ructuautala au?rofl,t r Juazr^l otol rJez-z1op uroqc,{qy 'eFu onlor {g^z,n glduu 9,ro1{ws el ntud
nza4qr.rd oqgug4d nqo,r ,1 :,,Qp,r ;c;fezgqcpe;d gsorgeld z g,r{1d,{,r 'aurapo,tn ;u,{u ts {req 5ppatsBC
ryapaF(p 't
'(t ?ur^oJ Ar, pqdeu ouaz-nrps grufapoures sf7
?ul^or A ,r ppdeu oqe,ro1,{rus nolzols a5) 'nza$:d ns^:qo 1 ,{upa1 rpurs ?qnu lJur Isnrtr grel]| 't2 F?d?u
oqerolfrus ?Vols -?ulpaf tmod g pur,ror ̂ 4pnl g^$qz eFu ou ol ??rI or.r, ;pduu 9,ro1,{ur 7 eqold
,r a[ qcpgdeu qc{,,ro1^urs qca(uoTnrps o suolsz epod e (lqosgd urel a7 'o1ord ̂rtoIru e lUo^oq tlqour
urpu o ruoqc.{qu 'oto.rd uef ouelserleu al q 0I t rqo ,r) alnu oivror ,{pal nl a[ u-z pqdeu ?^o)t,{ES
(q
?
TI
--.-kn l-
L J-SONASd V.t_SONZnAd
-t6-'I't'rqo
(8
'v fl'
onN
?rJo
hl
zI't'rqo
, _4^.--1 i-
INI''''HOAJJAd v FSdvN ''
-96-
eureu?lsoc lo?esq nso ?u n{tg?od po etllesau,4^ qoupoq olnl ZJ(ro +'o) l?^l ?u?.Bs g,,re:d eu ualp
ruud eru (do updeu o:d) (u61'p) rcnhoJ A , B?d?u s^ol,4urs cnrpelod nso eu e o pgdeu g,ropru:ou
eurlq_eu,{a la3esn nso Eu }u A (SI }':qo) arln:1suo1 {,rorqo14 ycoruod,41cge:3 luuoz_euz gupslqeld
Iurla^ ezl nu?uz olnl lr np{n ?u r1solsr,lrz
ruatu es (qgt'l) e (ug1'9) ,{qaz,r ?uep dI r. do pqde51
,tlpdru o.rd aJ!u?nJ'l E^orqotr^l I'g't
'nxepul nou?ru?z no>1cq1Xc {x gurlor ,r lsopldeu nouur,ror o:d
fqptz^ az aurclslz xz a z{ qceur,ror ,r 1so1e[deu norrur,rol o:d d qur,ror ,r pgdeu lepod{,r old ^qeEA
:ntupuzod
'dt e do u2deu Aryols ?qo 'lr ru.lqr,r ?ue?m
'?ur,roJ
aulo^oqrl A tr^orrels (g 1 y) cru,ro: lcoutod oz1 (27 e ̂o 'xo nosf pgdeu guepez) lsopfdeu notmp otd
(qE Ir')
(et I t)
(q r lu)
(e
t)
(cot r)
(Bot ')
nZSor.zr-pZu,s.62=dx
a z uEr. 2 x, o z ror. OIO* rl,
= o o
ZD( uts. - = DSoJ-nuts
I
nj"^l e^ (Zl t) earu or auau"lsop ?,rerdn e ruazesop o4
(7e _=D SOJ
DZso)+[ z. _=D UtS
DZsoJ- I z
at hF{!r oqguqosgufo,rp eclwg ll-euepe^ez
(qz r'r) (n ru,t - n zsor).')
-nsor.outr.('o- 'o)=dt
(ezril Dsoc.Duts.'t.7+n ruts.io+n rsoc.xg=dg
^zei4^ ?^?rdn od (q91 9)e(eg1 t) Bqes^ urlrTnod eury,rglsop (qIt t)E(Bll't)erru^orZ
g= ryrp. nu rs.' t - \p. n soc. ̂ a + xvp. pso). 2 2 + xvp. nurs. x o -Vp.d 7
g=Ayrp.nsoc.'t -^yrp.nuts.^ o- xvp.puts.z t- xyrp.nsoc.x o-Vp.d o
'lr laql ua??rzeu af q:;clu1eq1fo4
qc.{,ro17o1s aA e z, e Ao "o pgdeu q:Iuepez ,{ryo1s gu;nys^ud fualser4eu ?ue^olr_s? nosf ap1'qfl
t rqo e s4 i Jqo uprTnod eura;rdeu dt e do qca:gurs a,r 1s ,{qe,rouaor acruao-r ;cyfnpals_ep
nurs.yp = fopn soc .vp - xyp
w1d ̂yp e xyp qcold ssolqe,rord ryd
'yp oryf (E 1 t 'rqo) d emiro.r gq ^ nrueualo eu noraD1 ',(qcold poryen I-ou4?sEO
, ISONASd V J�SOt\EnAd
-96-drs eus?^po oqaf Aqe lpl tr^Blseu JUS ) uleqBfo! I?eN
'r, leq! {s1! | uezo; s 94rs {req 7 nza;
tt dt tdo gqdeu qrpm ruoqc,{qy d gq,ror ?ucaqo ̂ ppdeu 9,ro>1,(urs e g^ol_uuuou - d-r u do ecSrpelnos
g1qnolerd ;feru Apoq rfaf e (ogdeu o:d) or;u2n.q EAorqoW 9$zeu as (SI t lqo) t 6.nz.jn:l o1el
= -.tU+-USA=-tS=.r a-t
7 rupuoyod o rclqnrl afnsrdo 1 poq ? S npoq ruelol l?gto IUS )Uua1{frfo-n as ryd 'n
laqg as II-p?n g'Q euoda;d oqefg1gls Tpnt
e^els$z) rs?ureu ruB,rt r nsolrlel op oJ JUS lnrlaqr;ton {gr;orad z nlq4 ?u?lrz qd as {sr z3u oU 'Z
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guurnor eurBrz Vrt ureu al qoc 'qcppdeu qrlu eH no^p qclc;fe,r,,{qz eu amod slsr^gz opnq qr^or olrp?l
z ?pTE1. ^ tsolefdup1 glsl gzeu ppdeu urru,reJq oluol ?u tsoleldeu apnq ur^or olric?t z ?p?sl ̂ rtrolod'updeu qcyu,relq z oqoupef nurlo.r ?u qt{uqol ur{oJ uro{ze^s {elorrulq lu-?lualuala auar4o.rd 41ol
7,{p1 - pgdeu lu eJq ?^p uef .{p7,r p,roge,rn ?udnrsod ouropnq a? let nurer8erp ?^orqol,{ ̂ aulnxoz_?uz
tg e 2g 'rg rurugdeu runu,relq nougp lsopfdeu noloJolsord rlsoptdsu s,rorolso:d ud ue-6em
,tgrqoy,1 eped.{,r {"f 1E!^ rs ououunl^od l?^$quz ouropnqou umro;el ot[ru os rued ruD?plsz A'gudnts oqpop ecru,ro: e4cmrqe8p ruolel Bu ape^
usoBfdsu ewpsz ?uJaqo pgduu qcru,relq psolrta^ ruepalq,{ L to <zo < rb lsouaorau eugulds z1{q fqe'{sf cll,{^qo r1o,r as,{xapu1 eoc.to'to ggdeu 1u,r.eg te,r.o?euzo 911flqo af qsoleldeu 9,ro:o1so.ld 11
'ot{ourx ?u?auolau lgdo ur,ror qcru,te1q r ppdeu rlcJu,reJq g{q a74ur qcapedl;d qc;uge1,rz
on (aFu on,to: pqdeu c,to1,(urs af apf qcuur.ro: qrru^eFl qJon e,r rqoqd e ppdeu ;uae1q rg godsap
,{p4,r rfrusrre rlso1efdeu ?,ro:olso:d qd a7 '(Fsopldeu eumloi n lgpe,rord o1 eusf {pf holsac noulats au
W!^e) Pt?zelop eseg zt 'iL 'x, Iury?dBu ru aol^tus rulal e zo ',(o 'xo rur!]?deu rurriroBlruou rura{l ol
e ru?I?ols qsas Bua?m ?ucaqo Esel?r ?poq ̂ lso1efdsu g^orolsord a['1 7 rc,retspo ,r qpa,rn eusllel
llsofBldBu ?^orolsord urBrSBlp ^Trqow t't
{tZ t rqo) ru?uz es Z B , ur^or qcru ?lq Bqolod e?Jlet ls,{urs ,{u?Bdo {s$^gur '6'
leq! r etXu[a15 gufals nouelsnz ao ? ,o p?deu qclu^ppl qso{rTa^ r ?Jpnl e acJr&m{ s^olqol
8Z't 'rqoLZ'V'Jqo�
/ls1.. l/'
1
L tsoN^sd v tsoNznad
- 901-'g^olnu nosf F?deu qrru ?FI fn ez ?^D oqau oupef,{pI .Ap"dHd
ord I Apal '?uraqo ulecz p"ld (tl t) arru oU p?deu oqllueu[eu ? oqlll?^fou nlJpzot ?m olod fpal
Qrp)z ,"," - eg-to= t
(6g y 'rqo) gurfsp et p?deu 9,ro1,{urs FrLuulrx?n'63 p 'rqo ,r {qco1d gueaolzrgf,l
nru n lpoq nsecrupqnos fuepm nosf qcazel qc{rrceqo rr r e o ppdeu e? .auepo^n nzsry.lp zeg
(c66 9 '.rqo eu fuu,roge4,{,r ze1 peqqdeu) normrq
olnol s nolq?qou^or no1u41d llolnoraDl oqou I nousn{ ;fezgqcord oDl l{cezel ̂ pgdeu ;[u,rgpn ,(poq
rlof crrt oJru?ux elr'^o,oz grv to " zo ruln?deu nouBpez lsopfdeu nouur,roJ ^q {Bd 'ro pqdeu oq;urreJq
nurlor ?u 9u4o4 fm,ro-r rploz^uln ruoqc,{q,{pq '?u?auo) (qOg t 'rqo ?u nzal rrrgue^oJ"rqf,r e,r .gduu)
ll nousrr{ s ?rq?qou^or nosl oqeo fazgqcord zpl 'r1:rrzatr ,r ggdeu ryd 1[e,rgpn ery ocrqn-or fpog .g
e ; Xpoq ur,(uopm urerpurud peu guesdo trt ecrqn-o1 sp^opozgllz ,o ?so rug?dsu nouep $opfdeunouuho.l fq :pd 'zo ppdeu oqu,reg nrnlol ?u qrfuqo{ ur^ot 1ezels tpAo?BAn uroqc,{q,(p1 .e19q
0c't 'rqo
(q
6Z'' 'JqO
(r (l
NSAOM/4"I3Hd v UldvN ''
- LOr-'n'u, ^unol nqolod e rn,ror qc;u,ruJq nqolod a1alm elge'xvu" upduu oqg,rolXus
oqrulgrxrxBur qoupoq s eo 'zo 'to lJ?dpu qcru plq usoTla,r alcge€ ? ?t!e?od ole?m 0 = zt = tt
"dl I 0g- = rr '?dl,^{ 0E- = 20 ?d} l gl = ro ?dI l 09 = ro rrEvols ?uEpez qsopfd8u ?,ro:olsord 6
e't p8puld
te't 'rqoec't 'rqo
.(tc t rqo) ofnl6ls,{lau ouuro: ?upg? ̂ es ppdeu 9,ro1{ur5
.d- = t'z'ro eu^or e eulals nost pgdeu ;uae1qrcrqosld ?q.lu ^ 'ru elq nosf .{ur,ro: ,{uqca;,r aq ?uaurprz 01 .(€t.t .lqo) gufe6 F?d?u lu Bpl Euqr{^
nosf 4,{p1 !^els?N lso1zldeu elcgelsorp,{q euB^z {et af qsolefdzu g,ro:o1sord pedHd !q;gl^Z
'tlu leql o t ,{m,ro: po qc{uapolood (oqomn ?u?auolau qcrfaf) qcgur^or qca!^ e^ lqos1d
z ,",, - --.------------- = I.o-,o
zt't'rqo
pgdeu 9,ro1Aurs lq_?utlxe;4l
If't'rqo
'8t t lcrqll.t{ s sr?o1o1 ef er1 acngru; loq n afrueuaSop (Ze 't .rqo) rrt orlEzrux e orqoIAI
'l€,'rqoeuue??rzeuel'0+coeo=zo=roF?deuF^"Iq?^prlnqzrololzas,{pIT€dHd
gupoqs nosf ppdzu ;u,,ru1qeuqraf^ .ouo{op oqau ?^p ,{p1 'usorfdeu g,roro1sold ,tped;;d ;r4g91nz I pls?u rual^o noqol4l
E=Z=l
-o = lD =:t
t tsoNASd v tsoNznad
- 801-LC't 'rqo
I odl^l l0E 0r 0e0z 0L 0-|__=+-..-]�-.+
[3dvN 0vltu 3 r,l
'(Lt t tqol,o e ,o Af?ols r, 'o nrug6As ruglocrupelnoc A euresou,{,r arudfep
:1uaSa4 q1c1[otg
(9u.rod,rz of rr ;ogeu 'z '{ soolod
qrfupell rupus gord nosf '.r pgdeu qc$olfus qcfut-zn+s ,&oqe^) r ,{soolod ?upeg z {elouerq
Jur-?lueuele zu palqod af 4oc '99'9 rqo eu euelserleu lsopfdsu guul or gultllslid ef rourozgu pdal
o:d rlsopfd"u ?uur^ol luaiel ,r p-eqca;d npedgd u4q-eroads oluro1 ir i(pa1 1sopldsu gloJolsord '! ? zo
*o pgdau rurat?ols ?u"p tlsopfdeu ?uul,ioi u,rueto{ eu4 n ppdeu Ju,rzJq ?rrp ;5',f3^4qz 'Lo = xo p?deu
qclu elq z uryrpaf oruHd af I pw,ror ,r p;qosgd xo gqduu ?^ol-Blruou o? 'l$pgord fpet aue7461
9C't 'rqose.t'rqo
'to $l?ols -a^olgrruou emod ep !?deu gao1,(m 9up9? lqossdeu
I puriror rr a7 'otupsrfz 'S€'' 'rqo e1p n{ousJtl uqugtuelrnla ^ $opfd"u nouBpez Il€urJIseqBN:tuataY
NTHONSAd V UIdVN ''
z
t^
X
Al'"t
.I
-60,-0t'' 'rqo6€'t 'rqo
',q?ots ?u.aqo ?uspez ;qoqd qcgupls Toqat,r loprnrq Jurgluaruop
rupo;rqd upu:ozgrz rurereg rurfiual af ep)t .6t t
.rqo gt;af arurlseDpu 'ruolso:d a rceluauo o.r3
.9a= 6 Aper .ZS = 6Z
lu?urpo eure?Bur apl '4g t .lqo z atur?m f nlqB $oTrlen >1apr1n: qc{rroupoq
nls^us a^ n 1eq1 {ufats o ,r Xur,rol tuJu4olo aui_ulpr noloDl .C ?ut^or ,t lqosgd 80 lt?deu InBIH
'36 p rqo aJpod pprpru qc{,rornpoq np,{us err 6 1aqr,r o & ,(ur,lor upa^coro au-sxsF noleq ? ?ur,roJ^ lqoqd to pgdeu ru,re1g (Sg't :qo) I nourlot s grz^olol afro F?deu o{lu eH; ,(ur,ror ;uazJq eqo1o6
edY{ ZS = 'nttt
'! ,, l!?tupo eurs?r.[u 8rt t.ru?nq !lt?^[eu 8N .5' .1 fpoq pau ery lcnqnDt "
Z't fpoq Earu trt lcnqn l aruyfoaseg '1 poq aur-u1sp nundelp ?^oJqoI l op Lo :xo ur;uoseu,(n
odw 09 = ro
{pel 'ro ou^oJ ourgd efro u2deu ruire1g
edw 9'll-:co 8 edhl 9'zE:zo
lg?urpo eruo?But nan6'erp 7to e zoppdeu ru,rqq o noso s t ? Alpsg:d nu,{,rs efngm greq .rr1 lcnE-nrr eunfo.qseg .9upuJ1o1ef rr ppdeu
auasau,{lr la1qru qo1$ourpoq ru?tus a,r rt nls{rns op ll?olo eu4mu nprnrou ;qfpul aTolorg .r,1 npoqluaclupe{nos fu_up nunrierp ?^o{o;41 ,r nosf nllouerq oqJur_eluautala /r qqrror ,r pqdeu frygolg
t tsoNASd v JsoNznud
-0tD-zr','rqoIt't'rqo
'3lnu Bu or nosf so qrlt{etso no p qlJJ?rus
so e to p?dsu Joqau lsolBldsu gsooupef al Vlt = ro ury?d"u lvep '(tV'V'rqo) qa fisoq
rlsole fdeu a,torolsord qqpelq z gmoupef 1so1e[drp t'l'l
,6t.SZ = 6 {p:l E
'u4ua;s; urficgerE s ?poqs a^ et?oJ
,0ZJ s = 6Z
leanl z'zs(r't-)-oc to-'o
((g1 p) nqaza epod) ?Defau4?m t ? ur or t{olod Jue?m ord
(1J g) aeruno: op u4uazesop arua19od,,it p2deu e,ro1,{rus ;upur-x?W
edlAl 09 :!o = ,o
reat'{r'rt- \ I [-_-l[=,_{_=,,,. [,rrr_l[_, z7 =,,o
leanf r.zs f-t'ttt+e-=,\0t-)+ zlerl-ull'+O;).sr= ,\o- o)l o+ e
(tl't) nqqz^ oq?ua,rerdn urpqnod au4?.m 8o e ro 92duu ;u,re1g:rualal !uta?od
'p 2ru qr{,roupoq nls^us a^ I?l^s 1aq4 4utaF o , Aut^or po gutlolo
rpnq 'dr,, g,ro1,(rus ?ue?rups Jqos4d gjaq eA '.r Eur^ou '6t't 'tqo z (8 ? ', ,(ufls) n{ouerq z nu?ls
;ruoq efnnln 0''? rqo '1a1p.r qc{irourpoq nlsfus pord jpr 1oq4 o 1 (upror po gutloro @ su.tlol
fpet spnq nllouerq ulurglueuale eN 'Zp, IoqT (lg'l 'tqo) nure-6ep paorqoyrl n af 1 e'1 Ipoq zoyq
'rrt grnEnq ,rcourod smy2m 'rlz1 F?dsu 9,ro1i(nrs FPttr.rxeltr lqosTd gJ3DI 3 '@ fur ol nqotod
ro e zo 'ro uqdeu ;u,re1q ;qoqd qc-eu-au Toqaf ,r trelouerq u?uloz-Brz 1ed af nuurel mdup5
t n=\ny' t "7r,---1
II
lNsdo/4JsAdv uldvN',
',tt-'(q?;1.
t'rqo) t/l leqg g e , rureu?ts as 94^s 9re1q .gur,ror ,r lqosgd e
,D|u 7
,i'iIqow'9'tqo
crt acuqnq ,{,ro:qo;n1 yptg,rfeu ura-rgurolod ou_ep ef uqdeu a,ro1,{rus ru19urrxe11'tt
t lqo Du ualsaqXa pudqd o1ue1 ord ef ure:fzrp ̂$qon
tt t rqo su oue?Bueu allef.g < zo < to ?upBH nosf p?d"u JIr slq ?qO ,I
:,4pedgd o1.{1 1e1seu ?upa$z noqou .rurugdeu rruJu elq Bugpez tsolefdeu guur,ror r1-a1.f:gus qcrfef
e pqdeu ru,lelq ?^p tl^oupls etue?lul qcru Z.zt e to.'o ldeu noslqsopfdeu gurn,ror fryols auceqo-ue pgpod p_uqco:d cn.gnrl
qcA,ro.rqoyrl z ?^p tq Sueupuz oJ .alnu ou or {"d ef.?ul^ol ol?t { ou{o{ r.lqosld .F?d?u Ju^BIH
nout,to.l nolstf s glg?qou or ll?deu es 1c1fru,{1s,{,r euqces,r nosf gsopfdeu gsolo,lp rtt? .?um^ol Ud
9.ro.ro1sord !lsolB[dBu s{sfpalq z Bsolo^p tsotBfdEN 2.t.,
L=''o p?deu ?^opuuou I efrultl, lqosld ?Ju ̂ .amnot A ez .9utep af nurer?ep u^orqohl Z
.oqoutu ?u?euo{au ue;,ro sf ur,rot olqcp;
'l/y pt$ ro p?d?u rrral?txs es llar,rs a:oq !.ozei qre!^ a^ lqos4d npdeu e,rolfurs ;q_"u{x?n
L _totu,
L0-
p?deu qclu elq fulr-qxa uellpzol oue?m ef F?dBu ?^o1fus pr1-eunxeyrl'nou.{lds trt s ,rf ecrqnq e poq ,r efruauegap rz, ecrqnq app} .O qf.B?od I ;1e1 e ;tn1qo1o1z es 6e 7 {pog '(79'p'4o)
11 = co =.o e vlJ = to u?deu qrJu ?n ?pe11,rz eu yfogses es rue:6erp agrqo6l
z
L tsoNAsd V tSOMnad
- ztv'6t't 'rqo8t'' 'rqo
'6t't rqo ?u uepe^n qsoFfdeu ?sofo^p P?dlld ouel ord
ef ure€ep ^Bn{ohl 8t t 'rqo (guodqz) ?^oryn ?qnrP (?upupD ?^oqel ef lnduu qc;u're1q z oupel 'g
'tr7u ,(gr,r 6 e , rureu?ls 5s t{clc!fs4^s qt-sul^or ̂ }qoqd s
fi=*""pgdeu 9,ro1Arus !ul-?urlxul/{
9t't 'rqoL9'9'tqo
:J
af uer?ep ^Trto4 (9'''
'49'P 'rqo uu uaPaqfir
'rqo znl^ '0 > .o > eo gutdv) 9^oIeD nosf Fd"u Iu sH ?qo 'z
st't 'rqo
(B
lj,o=z!
9r.
t
tII
c
1
NSAOM]Hd v LtrdvN',
-8!L-r Is't 'rqo
'?rqo?od ? {{rUp.6 el.pa^o.td .rqosBd qrliDDla^ 'ullo-l ,{qo1od ale2rg 'ngduu oqe,rolfrus oq1rprurx?ur ruoupoq " ppdeu qcJu,rqq qso) la^ ete?m(e S t rqo) sdhl 0Z- = r, e Edt\ 9g =,to t4y1 S9 = ro ml?vols guepez qsopfdeu ?uuhor f)
t't pBFU{d
'(egg t'rqo) 6 ?w^or I ?u{ol
Aur,ro.r Xuqoaq,l. nosf rulelq a1 .gutfapoureg .poq ̂ rr{ acnqnu ace:eua8ap qpalsBp A or{ouur
?u?auo{au l?do ef unol olqr?I }nt laqr,r g nouhoJ s lfer;,rs 9ra1:1 q._?ur^ol qcapr o,r yqosgd
os't 'rqo
0 =?D
L _ *,1
o
pgdeu g,ro1,{rus lul_"uuxet^l lu?otoE e6 rrt e crt rJlr&nq e poq ̂ afiuaus8op ,,ry acnz-nry'q6S
t lqo uu ou?uon, uz at 1ef.;cnz-rur noulpaf ualm urer€elp ̂Erqonaf '(sos
t .rqo) o = ro = ,o Bupoqs psopfdeu armnor u^d ppduu ;uqq gqo nosf ag .?pedHd A.t
''p i$lB t B , rununor s yfe4,rs graq !c,er4,ror ,r ;qosgd e
z _,o,,,tg-lo- '
af updeu ,airol(rus Frl,"umcel/{
(r
L tsoNASd v tsot{anad
'vvr -
ledNI se
[?dt''t] sL)=,,*0, =
epnq (S l't) trru or ulpqnod
1--!-- = " o
9t +99
aur_B^s-lsop ('l i) e5ru^or lr4ll?nod
:tuata{ }uta?od
IS'' 'rqo
'fll loqr,l I
'r'lcnutlor nuluaelq s lleryrs ae o Aw'ot eq"g.uu�lap al q $ t'!qoZ'Z noul\or tu^eli{ s ts'tt 2 ppdeu 9,ro1.{urs ;rq-zrurxuur ;qosr.rd qc{:aq a,r '.��d$�, a @ uhol aoru?os$d noJe?
nous^olr-p? ,{uapeuzeu nosl ruIz-erqo a7u91 n usorfdeu A{?ols gutoqo euupez ;qosgd qcgu?ls ?oqef
^ 'DllotrBJq oq;upolgd eqolod eueqeueu of mrerel u.{aue1 'nueral nu,.fups t IS't 'qo rr '{u+leueu
nost g e I . ur,ro: lurrelq $tnlsF^d 6 n1q1 ;coruod our?m ?o l? ro nqduu qcJuirelq m,ror '(qo1o6
'ndw S'l€ : xeutlFSurpo
ouqd eura4lu trt ecrugru)t ,{norqo61 }!t?,tteu Z 't, tuor?u$d peu t'{ B 97 me4u4rd peu czry
ecrrqnq ?^p rcrturfqz ourllssrlop (q I S t rqo) nus€erp e,rorqoyl oO '0 : ro ,(pal 'pqdeu 9'ro1-uruou
ruu a,ro4Xurs eupg? ,qosr.ldeu (e 19 7 rqo) ̂ ?Irr^ol A eV'l.qr9^n atulsnur t!r!, gsory1e,r ;upt;tfz org
.,0€.92= 6 fpar."fs= dZ
nll! lso{Ie^ elu}?m eLsc
ed sz=zo
edw sL = to
tr?&u qtJu en usoTle lu^flnpo orue?Bm
ru Z loupoq qcfuepez eztrt r.trtrIrDt au4fogses ruaqoegdz uJ4w9tz q lg't 'rqo A outl€lueu eI
:luapl ?lruDtD
(q (t
tqjl^l 09 0t 0t.'02 0t 0
ir?dvN 0vIIHJN
NlAONsHdv UIdVN ''
-9rl-
tg't xqo
'ts.i .lqo pu eue?er@u ef tsolst^g"z oJPJ .(Iep oqauqel) usopfdeu asooupaf qd o uru?dBu ur4^opuuou e a ury:e^mopo.rd u.r{u.l9urod rzour oluf 6olsraazuuqopod efnlsxa r urq?deu ur.,i,o1,{urs e ,/ uaso)rz ]tr:eu a4 )na1dA,r gsn10d 7 .so1z g,r1fteu os f.rsq ',/
laql o ru?u.rz ruol r;d es .rr,re1s uJeue1gvzea ^ n: olrsrq ,{upfs ,{p4,.,rs fraDl .lotg
liru:d guporrg
es't 'rqozs't 'rqo
/ -))
'gg.t .Jqo eu Bua?Buzeu af .rualXrus uaf u_zqgurzuof,{:aq trlueurala rJBlruoJJC .elnu Eu ol nosf u?dsu BloJuuuou - ppdeu g,ro1Aurs amod yqosgd /r uI qcgqr,ro: n {ZS.t .rqo) nlXus oqarsord pedHd sf qsopfdeu guur,ror npedgd qcleqegrp z u4upe1
n{frus ur?fsord t*d lue{o^le{d S.t
.urlecgzrS u4uaEq s lpoqs a,r efol
lear{l s're = Z =*"0-9t
epnq (41 7) nqupr urllqnod ppdeu 9,ro$urs ;rneunxeyl
,09.92= 6 e "t9= 6'Z,(pet
lsr-sclr€'r =16;'71= eza
'9lL''eo e ro 'to lr?deu g^Illoupst
I[sloM^ ru?us orrot ^ -er.ll 'FrcIoAaId qrfur?urod lo?nos oryf (o psHHdeu) p?dsu qclu^ulq
z oqfleLll?u ru?tlls eA lua?nopord ?uJ?rllod ll?m 'lcsuuoJep ? p?dBu rJzodredns o Euolsz gsor4eld
I urspslr{z^ '?r4otu ar (gs } 'rqo) co e zo 'ro luqndeu rurFr ?FI Eue?m eset?l ?Poq ̂ $ol?ftbu rl-af
lull?dBu lrttlu^qq ?uBp8z llsolBldcu ?soforl !{d !ue{o^le{d 9't
zt-=tgo=zo
'2 = Lo
ueld 4ua1ud'qgg t 'rqo Bu nouopo^n 1sopfdeu gclfnzerqoz erlqn.ol olsf 5p '61 ruar2uEd
psu lnou{nrz^ ?{Bl {El^ fq e1qo4 nll ure4rr.n:d peu Bp{nrz1 'rrt eonznu rs eur?urml1
ss't .,qo
(B (q
tNc5
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Cr
'1.
I! l:?lr'
i-,{rpi,'v
'a1nu eu,ro.r pqduu eloLeuuou nosf& a I qcguuror
,r a7 'olo.rd crupqod nso eu ouud ;E-uu,Or ss zr ppde51 '9upep1 oryf cgrpelod nso eu anr;ggufn Ir purror
^ z, F?deu e (p11pru qcAF[poq ;ua1o1 n1s,{rus gord e: ppdeu ru?uls oP e[4?olood | {uuror npuuou
;pfpua) gruodgz oryf orupelod nso eu nurerSurp q.rorqolrl ,r erueseuiQr | ?ut or ̂ ptqosBd ", F?d?N'eg g p :qo eu af (79'9'rqo) n1,{us (oq9rr1) oqgleord ped;;d ord underp,rgrqoyl
e0l ' L'ZIF{FIyOl ' 9'iJ4tu
pol" (9'8 - 8't)laco
lsdt^tl glpuetonr^ ltso[?nJd npour Alo|rpoH - I't 'qBI
Tlnpo|n
eclnqet ;c;fnpals-uu ,r Auapa,rn nosf gpuataru qof.raqpu q{rm a,r Bsotqnrd nppotu,$oupo11 'rq,{us
e,r psoulnrd lnporn gq(zuu es g qsouj?urql eluBtsuo:l touolgz m/$oalooH avq,JJzta ndo noDDI
(sr r)g.l-z
lsoFr^gz rtsou?ur9 azaur op 7e i(pat peld e Jur.eeml tgdo of nureferp oq,m,rocerd euud F ary?od
NTHOAIZHd V ltldvN ''
- Ltt�-
Gzp) f('o*'o).rt-'o1.1='"
..', [(ro+to\.rl_zol.1 =zg L\ ,/ ' I
rurccru,ror ,{uo1m eoeuuo3ep eupeJsf,r nopnq pldau qcp,ralq qc;rgelso /ftqrus ord ,ecr?oJeuy
l(eo+zo.1.tt-tsl.1 =rg f.\ , ) I
auteuBtsop (c 'q ?6l n) IW|z^ ;uezesop od eqel
tt3 + zt? + Lr7 __ ,3
'ro p?deu ;uaqosgd urgusegnos qd ;. rugus an acauuoJep 9upe1sf1a
;:- ' - = tlg.o
;ua4z grupurod , Iu?lrls eA orqruz^ 8o F?dBu'ppdeu :qurs ofn?m xopu {qnrp
'eceuuo3ep rprus ofnlm xepur pa:d)
(0z'r)
utrJ5l?nos eu_?P aPnqco e .o
(c6l f)
pO (oplo,r,{,r b?uuoJep flaDl
(q6 r 'r)
(e6 r '')
fl.t- -""
3 _ rrot0 -
rJerruoJap notu?ruod ppdeu o1oqo1 n:prus en 91o,r,(a ro ppde51
ruaTgz 9u1Hd qqsgl,r af (1 rgus) ,o F?dsu ru?urs a^ ro F?dsu po rJ"ruroJ.p eul?ruod
9S'' rqo
t___I
L tsoN4ld v tsot{znad
(sz r)
- 8L!'n soJ. puts.'l + o ,u1s,
Aa + n ,soc. 'g =og
nnuls = - 'q
ru?tus ur?ucoqo ̂ ;uez-nopo-rd gurpuod ord aurgrrpsop
n e psoc---e
a-zolo:d
puls.
{sd al-sp
nurs. r s. g + Dsoc. (' l. q +' e. e\ = nv
a? 'BpB{ ql$f^ ,(m?!le^ apur ?u?euolou rl-aru_?qprusz 1r?m elnpoupaf Fqoum uleu oI 'gy rftrBnl
noqolod;upo,r4ds,g,Veuergguelo^toldoqof-?^4lds7;ur,{qolodopuolsoDlaz lelouerq {uego,uo;de[ urorr]d ? ?ue^olre? oueperzeu /S'] rqo su of ryf tue^t op ;;o,ue;d lalouerq es ppedgd ruol n
'zl e ̂? 'x? rurnpols ou_ep af n{ousJq IuaIo^FId ',2
laq! x noso s g4^s eleDl n Dllouerq orlg^o{-rulcpqo ,Q1;;dog1 ruopolpo:d aurfnpals 'lll?m ru?urs rx?u.aqo n pelnopord guepalq uroqciqy
'ru?us ur?uceqo ̂ ;uez-nopordgrugurod ord qezn ouqpo^po lu{N tS'} rqo eu uelsaqeu ef nr orrsrq oqo^olBl .re4 fue,rouuo;epB rupo^ld :l nsolz el oqot ?ujoq e /(a luaTnopo.rd nruaurgruod 1 { fso n:gus el 'ra
;ueTnoypordnugu:gruod 1r ,{so rugurs a,r eplop 'usolefdeu guuhol n els a,r af {raq b[ouuq o$lgluauala n
luolo^lo{d oJd urBr88!p ̂r.lJqol^i l,'t
'an-nd lupeppz ot91 ceur_er efn-oer4a;d t{cp?dsu qc4^oBrlrou su glsr^tszeu
,{so>p z qcppdeu qca(ro1,(rus eu glsr^gzeu nosf ;ue^znolpord go:;ruod e? ?eITCI :mlwpuzod
'urouolgz of,roqooH ur{uo{!!zdr oqou
ufqdg as rfe,r,{2e51 umuzrr Frpes.ez qsou^od a qsouz^Nd o tomu A fyts (tZ'i e Gtt) tJIu oN
\na n)
,{soryz o:d u
(€u r)
?uJeqo ?uBpB,z ;1so1e[dru gsofo.rl ;;d ;ua;oa1a;6 1'g'g
^".!* oror.l' t.!*'".n1= n = ""q L q e) nv
l='r '+=^, , *=',l(^o+'o\.rt -'o].? ='gI\ ,/ JI
Wo+'o\.rt-^o1-1 =^e t\ / I J
[('o+^o\-rt -'o1.1='et\ ) tl
pldau qc{,ro1-euuou q€l?rus e^ eosuuoJap eu4ruod ord 'o,respo u'9pmu ,r o>pf puqopod '(wq el
ryD Feld (cl'''tqo) 22 qt'xtezo 'to ''o lursP;ols fi 'eu.aqo
Ftsprz lsopfdeu -e,rorolsord of a,Jpsel
lNlHO/4JlUdv FIdVN ''
'6lt'',{.lqrus qcrlaf e lue?nolpord gru?urod ;u,reg ppeyq,Or p7o1s
qcfuceqo z eqnpoupal ruqo,r 1ua;o,rlagd ru?urn ol qd sz1 nuerierp s^orqory lcourod e ocsuuoJapemod auez-nut Tuol lu?n psopfdeu n^els nrs^orm umrJu,luaruuadxe gd gllz^eiBp Jf,?l^z ef ';pa{o,r1a1d
o:d r peld ure€erp ,tgrqo61 e? lsou?elnls .-u Asotlz pl,ro1od urep,ro crupegod nso eu e a JuaTnolpordgrugurod rta;gu.{,r ryd es le?asg nso pN .ac)F-gsuoi ?^orqo4 pe1d.{qezr o!{l ord ??u od
(8Z i)
Qz r)
._--,, z z e p z soc. 4
- nz uts, 7;= = -;l
777PZ uts. ; + nZ sot. ----:- a =--!--- - " s
- -/L - "3_'g n3+r3
Atrllopre aulg^gsop (97 y) e (9;.y) ;uat^o,lrqd o:d quplz,r op n1qr,r orpuqoscufonp eo4ng un]rsrr,^vz'ueferp rr;rqolaq ueaoapo Forf<lru o:d lIq (q71 y) e (e71.1) cJu,ro: isrylli-a tla. eqbupuar.lpz ryd apc
',{,r.o1nu afso4z ycrtepyrodpo e ruugaxa (updeu ru,rulq olefguqopod) af Juaz-nolpold ;u,rayqurolrld (oqouur ?ucauolou qcrf af oqou) ;uaTnolpord lu BIq ?^p godsaJe urguur,rot gd e 14 godsaprfnlsxa rualo,t1ald tue,ro:o1so:d qd e7 .eu.{ld
?{et (9e.t) .(SZ t) E (q ? Zl.r) cru or arflopw g
/\7'7G.n) lnrurc-p zsor).i-Dsoo.nu's.( s-,")=+
(qZI ') Icru^ol s erSopue apod n:gus ueureqo A sov o:d psd eruaTr.ru peHgdeu otord'euceqo ?lacz peld .pe;o,rpgd e psopfdeu apoel guceqo z au,{ld {sf 1?^"-z olual
'ZF,( solz rupnolod (SZ't) nqeg^ a,r ef ue1 .', p?dBu 9,ro1,{rus (e31.7) rcru,ro.r ^ ot ep) ,3 .dsrt f,
JuaTnolpo:d au:gruod (SZ t) rcruao: ,t af urel ,,(o .dsel xo uqdeu g,ropuuou (ag 1 .p) rcnr,ro: rr af op;
'euqopod nosf (97'tr)E (eal'il aJru^ol az'au4pl^ luel ueuceqo n uedeu ord (e31.y) lcru,ror s ze.r,gr oluet tl-eurgu ojod
ts't 'rqo
x
'?D
,tt
IIIIII
,0
N' ,'
J
:Yl
0
x
0n?q
-ozr-z's 'rqo
'zp.np-ro f1;s ;qos4d zp r{p qcpraus oqefep '(7'9 'lqo) tueurala aurerulh
I'S'rqo
( t S tqo) J nolls no^oso oq?ueq_eusu mrud oq?Icrpvzvd 7
!lsolBldBu gsootrpef !{d o!3rouo !ulButroJeO Z'S
'nfnua ypnutolap e.tgq oqau ,lSrrrrap2nwtt{ap 1u11t1:tualod artms(nu eselpt urgufeppod grqrud,r noue,ropumle qnerd o1o:6 'rcgrd 1euo1
lsoudollJs olof sue^ouuap ar8raua af acrueqcoul A 'pueteul &cqsele pupepr uaf p,roz-e,rn auropnq
rurftop A 'asa[?t ,r aoouuoJap ?ls^Jt tua.!o^d{ cu rs epr-auz - eplodrsrp ys qc;qfgu,r ece;d r_q e7
'ot euaunuz 'rue,r1 oqrupo,rqd op ,lF^eu osalfl ,s a?lllsef 'l?dz grlslz ?sel?t ;uapqalpo od as .rrrrrrroJep
oqef Bu eut?olsur$ 'lrs algJd gra:pa4 pgrd nre,r1 Iuaurz 1c;felgzrr n{Flsgp n ;feuo>1 'osa1p1
au r:uqosgd ',{ps r;fqun 'rs^r lupo^Bd eurfnez Juepqalpo od - 9u7rud pq-esp1 af o1 'arufapgpgodpe;d
'as afnru.ro3ep - re,rl fgns mpru ps qcy;fgua uerrlln pod ?req 'osal?l
?ufsppod pr4rud autfn7e,r61
po^n I's
flrcurNfl JN?vr{uods('sft9a1N3 INQVNAOfiO-9
- uzv-'arSraue
Qurt tuaualdwotl) g^otllldop ol{�€tafnpeuzo cs 'rrSlcue ru?cuuoJap po lrp,zol ou ?-o nolurqd peu nlJuleqnfog qesqo .ereuuoJap -
ll?deulsolsr.,tpz rur?aurl l5rfnsrdod noYrr4d pod (eg.g .rqo) u1;ulaqnfol Wsqo afnlppf ^ (9.g) aoru,rog
' a1fltaaa lupotutotap olo1snq gaona{qo aI
(9 9)
(t 9)
(E S)
(z s)
T = xs.'o.e -AP -tnp
Ap.'3 'o != * * i= Ap.'op.,, ,i
.l=no
axo=
^3
nr{spl az aurr?m EUoIEz B^ooIooH epod a.raq .(aceuuogap) ;uapolpotd gurpurod st
x^ xg xPng np
:ouod e
xe xg np=xp.-=n-xp. - +n ng ng)
:xp ruuaurolo ^wq ruaz-nolpord 1so4t5l eAeDn I e J gze; unsod 1;pzoX
r?rxod
(s E)
eurprn qsopfdeu pooupef pedgd o.rd zp.ip.xp : Apnrualqo o ruuor.ualo .r pp nS.raue ru?DuuoJap ord e (1.g) rctuaor ,r aureft4nod (i,.S) e (S E) usolsr^Bz
-/xp\oror/xp\o (t's) zp.^p.xp lilp ,o
| =zp.Ip.np.,ol _zp.ip.[rn.fr*nlo ,, I \,,8 ,/ ,; ,i \ ,,s ) ,o
zp. Ipro ps rce:d n;rpzor z aurr n nluaulele ̂ nou?pprxolrJ"u r€:aua Ju-oeuuo.;ap no,ro11a3 .ar?raue
elJossle rulBrJuelod o;ef afnlnumry nluauala ̂ as FelI .rowd notllg,rleld yfeuo:g ruol.^udzp. ttp.ro S11g
' !v I qzal iiinsod e 'o 19deu r ,{Jnu z etsor .nloupoq nolrJJn eu {1nu zg e1n as 1pa[npp,r7
(x)n=n
x rtsolqolpo lc{ing ef ,rnso4 {xp 1 ,r qrud ie19p ;uaTnoJpord af 7oc)
xpxp-fi+n
snrmsod aulnz,r 2 va! n,(x etpp] *-o u*, JuaTnopord o1 af1 2 nloupoq o armsod3 ,(11s nlurqn nlpelsqp -{ es hure$,G oqe^oclupEnos n491od po x qsoueppz^ a^ (I.9 ..rqo)
| .zsa
t tsoNAsd V tSONZnUd
'zzr -ll
I==r
xp f;.n.zp./(p.'o - tW i; 1 = rnO (t s)
llnraua ruSeuuoJep1c1.[u1sge51 ,to
(q
urcqe1z^ (S S) epod Xlcrflopuu au44pet{,,r
pgduu lrqosgd ?upelsgu ourgqoeu tueurelo fuaTpez oppl e51
t's 'rqo(B
'(9 9) rcru.,ro.r eue n ru[aulela efreua lupeuuogep
af 'ro rt?deu uaf a.,'.rd[au lrqos4d 'ruaqosld ruaudqsod qd luaurela ?u ll-errra, qtaN .^o e ,o lt?deualolurruou amod rqosr;d 'zp.tlp.xp = 1p nuafqo o (2tr 9 :qo) lueruala eu a7 .aurfapgllodpe;;
llsofBfdBu ?soerla t{d e!8roue lulButroJeo e.g
'(qg E rqo) guzp nosf a-o
lsolsr^gz rr:rueurleu o:d (eg g rqo) eufals ,(qco1d gqo nosf Jguepu ficqsela .lue.eull ̂lalooH otd
c's 'rqo
3lou3N3IN3VtAUOJ]C
(e (q
3r9U3N3v 0tNrdoc
3/99d3N3 IN?VWUOJ?O'9
-tzr-
(st s) Ap-'I-'r -l = zp,tO.xp.',1." l=
^r.',t. zp. xp.,t.l-- nO
n,rnsod oqallruzn u &oupoq ?,rolnu z plfe1q:zu ,(;1s nurqnosez oulr?m queutela ̂ nou?peulorquu rr?:aua yuleur:o;eq rfp.'/ rnsod {,rro11ac 9,r91oM,r zp.xpz, eUS
'(81 ') !ul-"eu!l au_epe11odpald l-r lsolsr^sz .(q.uE.g .:qo);qosqd
, rl?deu e^ol,{uls zucru ,t ',/ nsop e{ - ur^ol qsou{ol ?uauz eI pgqcop n1{rus oqgtsrl gpedHd I
(zr s)
f(^o+'o).rr -,.o]1.1=,'
f(.o+'o).a -^'1.1= ^"
f('o+ ^o).rt -'o1.1='"
qetzn nlueruala lr8:aua lu?euuoJap no,rol1ac o:d uradqsodutflcr€oleue auelsrz zo e tro ,xo rurppdeu rur{aopuuou 4uBp (qU.S .rqo) psopfdeu ,,,u1s o16
'rlsolefdeu n,\ets ueu?auol Eu aJB tusBl ueusp?nosqctfaf eu oqau uqdeu qc,{,rrpoupaf ruaqosgd ndqsod ;peqod eu qepzeu e7 .au,(1d ecru^oi ru"^l Z
(ot s) zp.Ip-xp.(^s.Ao + *s. "\.:= Ap.^s.^o.1 * Ap.,s.,o.1 = np ' I I -"
I "'
nerd yuqeturo3ep no,ro11ec ord ecru,ror re,r1 {u1auo1 aruauersop u (g.S) ecrulot op aruapenuz
(r r s)
(o s)
(8.S,)
rerq rfeur zs e ra 're aceuuogap Turapr;d
zp- ,{p. xp.('e . 'o + ̂ s . t o + 'i .' t\.1 = nO I
f'o.o -,'l1= ̂'f^o.o -,'1.+= "euo)Fz e^oalooH oqa[elFol rcoruod guolpefA,r .r3 B 13 aseuuoJeq
aazlZnn'2f7"'ri - Ae +;';+ rw'ir' , =no
z ' z- '
:(a g) e (g'9) gqep,r urytal?as erul?m .(e7.9 'rqo)
gsolefdeu nrels ognurot ;c;fep;,rodpo .rcg.rd ;ugeuuogap no^o{leJ *o pgdeu o4c;qosgd 2upa1s_uu
=po l)ttfz^ fntq'xp.f .tl- n rnsod e\ zp.^pro f1;s p_wd afnqodser epz uol? fqrup quoggd
0
t /soNt?d v tsoNznad
-vzr-n nulafqo ual53 ̂ np r3"r8olu Dua?m efasol?l
urelec ,\ or8raua ru?suuoJec (S t S) e (Z t S) -,ror ,(uagm nost
/.s.oyz elz ecururo;ap gu.rpurod 7ua1gd
6t il zp. rtp. *p. (' f .' t + ̂ I' i t' +' l'' 2 +' e'' o + t e' t o +' 3'. t)'j = nn
9'S 'rqo
Uqdou 1a7o1s qr{,rqloupaf ar8raua lu?euuoJep nt?nos az ll^ousls Zp'rfp'Xp =4p nuefqo o quaurala
,r rrfi:aua lu?euuoJep no^olla. lcrfnlm 'rc:1unj quJ-BIB:1s azl L7" ct 'xt "o 'rg 'xol:
{"1} p9deu
ruozua1 ,{ryo1s {uqco;,r ;qoqd (g S tqo) $ltrrrola "u f,p1 'usorfdeu g,roroSord gucaqo qpedgd n
(st s),9r='t' fl=^t, Pr='t
EPI
(n Is)
I?n+gul^p ntlr:)ur3t!,r -eue,rolnum1e arSreua lu?"uuoJaP e?pl lurrllnoau quurafqz,r
as ocud yugeuuojep qr1faf '(t a tt *t1 ;r9deu qcfio:1{urs fryo1s ifuqceq,r '?usB?nos
ll-tqosBd
s's 'rqo
zp. ttp. xp -(',t..' z + r,t. r t +' l' ")'i = ne
(q
pz
I
(B
xp
4
.b z7*
,ip
3t9A3N3 INQVWAOJ1O's
-9Zr-L'S 'rqo
(q
(g =rt _xt .0 _zo) (eL.S .rqo) qsopfdeu guur,ror qd e
ftto.' o * t o. z o + z o. to). rl . z - rt o + "zo + r, oj
+ =
= (s3. s-o + zs. zo + rr. t4.1 = VI
uraqDp^ sue{pgf ^otSraua tuperruo.;ap elolsnq afto e ro 'ro luuadeu luru^slq ugpez qsolefdeu a,rorolsord rrels q-s1
Itt rc sl L( r" * rt t + r' t)@ + t) 6 +(' o.' o +' o.^ o + r o.* o\-r/.7 - r' o + r^ o + r' off=
(g 1 g) qcpqdeu eu qsolsr^gz ̂ .Ae
(02 s) ('t.'t + I l.tt +'l.'7 +'s.'o + ra.to + r"., ol.+ = 4 =, 'l npuerguod euep af (91 .S) qsotefdeu ?sofo4 Ud
.y el8rau: ru?euxoJap ?tolsnH'(ll
Z) nuefqo suguz gruguod af'J+re+'s=g
aP{
k r st zp. rp. xp.f( r,, t,^, * r' t).i * ( r, " * r^ " * r, ") n p.!1|fi E* =,(8 r 's)
f t - '(A) ''zplpx4lz' 1+ ,^ t+ ,' t|(il+tlz\' o.' o+'o.^ o+r o.' old.7- ,' o* ,^ o* ,, off[ff=n
(SI S)s (ZI'S)',ror rJ-aurafr7nod .(61.9) qcrcuuuoyap Bu qsoFr^p ̂ uef oqau (g1.9) qcpprtzueu qsolsr^sz ̂ uaf tgpgl^^ eurez-nur (ec1n-ssuol !s-B?nos) esa12t r€raue ,ursuuoJap no^o) aJ
Ql i zp.ip-rp.('t.'t +^,1 .^t +',1.'2 +'?.'o+rs.tr,+rs.,t)'ffi 1=,
,ltl---1 |
t tsoNAEd V t9oNlnud
(sa s)
Qz s)
(9a's)
(sz s)
(3'Z S)
(qlz s)
(etz'9)
au(ld (97' ) acrat ot y
2=eg-=Lg
(99 9 rqo) pgdeu qcf,ropuuou qcJu,reJq u qca{,ro$rus gsolshr,z ?
(o)y =(z)yqsou^ol I ltrepeFlz^
| .' o'rt. 7 * .' o + -' ol.4 = 1 o 1y Lzzlt
-gZU-
H + r\'z =9 \ ./v 1
(il + r\' l'z -e'z \ -' z7,Z ,7
'(0 =ro)'eo- = to (zz'9) ruru?deu tuttu Blq oqou
9'Z _=t1)yz-
It
rcru,ror e ualp-ef,ir af erSraue mJeuuoJep Elolmrl
leci 'rurrlpduu rur{,ro1Xrus tc^oztpal oq eua?Tl I (ZS.l .rqo) n1,{urs oqglsord pedgd eurfnprrn
'rl Blsr? B^ouosstod e 9 n1,{urs a,r qsorzrud nlnpour E rtsorqrud nFpour uloinoa :nBuepur
1uelsuol qcAlcgsele qclupet{-?z IS tlsolsr^gz lue^ouets a1 r 1qn,ir 1f az1 'pe1o,r1egd tue^ouqs oI
Iu9r{_Eureu qcapedgd qcrq;npoupaf ,r 'e1r_zn{,r er8:eue lu?BruroJep 4f e1,{q qc91o1rde1 qcpoqcpe;d 1
(' l.' t + ̂ l. ̂ z *',t.' r).1 = " v
(' e'' o + ̂ e. r o +' e.' o).! ='y
(, o. to. o., - rzo + ;o).8-! -
=(r'".(rt *t).e +^o''o.rl .z- r^o+ r'o).4-,
apr'y +oy =T
ppdeu qc{,ro1Xrus po e qc{,ropuuou po ggnzir al8louo Ju?BruloJrplsolsr^gzeu guled Z?u or el (SI S) earuaor Z
.(61.9) ecru,ror apod 4sopfdeu .dso.r ;ue;o,rp1d
qcelels qcfizru gd ;curu.lo;ep lc4my o4ef ert:aua FFluJoJep nlolsnq lgp,efrir ona?Bur ?uqopqo
,_._ . t,. , t,,o\+=++2,1=(.,r.1,t+1\.7+-,o\.3.c _y (qezs) ["o.'o'f, 7- z"o- _ , t zn zu \z-.\,,-t).c-z
-). I
ecru oI
z aur?m erS.nuo rupeuuo;ep qolsnq (ql S :qo) qsolefdeu 9rrur,ro: pedHd ;cyfq{6ft as olss? oJd
(e tz s)
3|9U1NZ INQVWAOTJO's
- LZt-l'lla\ev^ etryp (aZ 9) ^or elpod ai F?d?u r{o4^oBuuou
po nurafqo nu?uu eu ar8jeue Ju?euuoJap glolsnq ?rpnJ .nJe^r eu?trz eu gqntp u nuafqo ?u?ulzEtt tlfpod as lsotDfdDu ltt,ud e? 'au.,{ld oqol Z elnu Bu^ol nutefqo Bu?urz Elu?urod ef ,o - zo e .o - Ao
'ro - ro u?dEu ̂lrpzol ?uBp llsolefdsu ?^oll8pop po als ?uzlj ,{1nu po (1g.g .^ol) nuefqo ?u?uz
eu:autod ef to null?deu uleuep 'nq"l uauuerlsasA rld a7 .9uled af acrzofuedns gua?esnu Zg S lqo eu nouao?rueu ,qsolefdeu n,re1s no,rp
lorsofuadns lElsrz oureznur zo e lo 'rg ta]lled?lo ruqirop[uou uef .{uep .Usolefdeu ,re1s fim,ro7e,r11
(zs sJ
p?o3unolouporl Jupals F?d€u qc4,\opuuou qc4^llloupaf utuezetqeu aurl4pqo nurafqo nupuz nou:qurodnouials '{"I} u?dpu ruozuel ruuelre^tn nurruud uo,ror el auotez ̂ rr?dEu qa^^ol_suuou le?nos
t -t n'g+to+'p- -
('o+^o+.o\'-L=,r)\ | fl.e _l
re,rl eu auq,re:dn e (71 9) euolez e,roelooH oqeualFol z eu pesop oc?uuoJep vz
(r s s)
'g+ra+'g=@
acruao; z aurcm qouedeu
qcf.,rol9uuou eu ual e1sl,lgz at grat>1 '(11 ;) nurafqo nugurz nou?rrJod nre,r1 e nurelqo nuqurz eu (g.9
'rqo) !?deu qc,{,r,o1euuou ,rr1,r au:r4aq,& 4eq,l o,udle51 .(g
S lqo) rlsolefduu,rels {uceqo eurefnTe,rn' pgdeu qc,,{,ro1,{urs po
dsa: qc.{,toJeuuou po ru"^l nu?uz pu rcyfepedqd ar3:euo ru?euuoJep ,{rolsnq lsg? ef '!V .dser or7
ggdeu qcr{ao1,{urs po dsa:
qo^ oleuuou po nurefqo nueuz au rcrfepedqd er8raua rupeuuogap .,Qotsnq ls_B? ef,oZ .dsa: "o7 ap1
(oE s) 'ty1"ry+'oyqooy=ly+oy=y
(6Z S) roru^or ol_up eu4,rzrdn'u?dpu E^ol^urs e e^ol_?uuou nruafqo e rue^l ?ua{!z eu ;fa11pod as X.r;ur 91ef op rTrltlzoJ uroqcXqy
'rue& nuQrr.z ?u er3:aue ppeuuogep ?^o{la. 1s_"? af rz
nuralqo nuaurz zu rcrfzpedHd ar?:aua ru?BuuoJep Elolsnq ef o7 ap1
ty+of='y+"y=y (64 91(elz'S) loru^or ourlasJdn
crudfoN (9l Z) r/ elsrp e,rouossrod usoltle^ ruazo^po qd ouapa,r.n ol^q {Bf hpualeul psoqetl?pllsJs rsrnnos esalgl nurefqo eugurT nurafqo oqol noupu_z ouaze,rordop Juau graDl .;ue;o,qagd oqefeurumzol ?sel?l ru?^l noupruT 'nuefqo oqef nupuz e uc^l oqaf nu?urz uu afnqopods (acry4suo1)esalqt 1ua;_e,rra1d trrgrz-nid rjd as graq 'erSraua
lu?BuuoJep ,{fofnq psgg ll^ouuls .rxBjd e flueuruadxaouez-ra1od o1,{q ryf
'gwnu ef nlgFateru qc.Qeu,raTnoq ,{pp 4soptdeu ga4s qc{uzaur ryer,romsod o-r4
nrB^l B nuelqo fulurz e!8reua !ulst[roJep clolsnH t.sL tsoNASd v tsoNTnad
(ss s)
aur-?)lsF
( I Z'9) ^ol rlpod ruD^t nu?utz ru uaf r7opu,$ as ppdeu qr&olAurs po ariraua lu?BuuoJ.p slolsnq e
o='oy
gugurz g,tourefqo eu ;falpodeu as ppdeu -z,rolftus e7 'ew(1d 6 :9 nlpelsa{,,r 7
a0 =
\t o + zo + Lo)'---= - = t 3 4231t3 = g
ef ( 1 g'9) nuafqo eu?urz gur?urod
(0=to) 7=zo-=to
peld {:eq ord (9 9 rqo) nl,{rr$ oqo$o:d ped;d o;ord arufnTern -0 : 'oV .[t hurafqo ?u?uz Bu
;taJJpodsu as ppdeu g,ro1{rus o? 'eua?plop e^;;p!'e51 .p3deu qcf,rol{urs n p,roplfz ??lol euapnq ru{N'nre.a; e nuefqc oueuz eu psolufduu g,roto6ord grmp pqdeu qtf.,ropuuou lpod q-rpa;f.,r aursf rm1
-8Zr-
I't+ ^z+ 'tl.-!-='tv\z z z I d+l
I ro-,o\+ (,o-^o\+ (^o-,o\1.1'n ="r,[2.,z\|z.Jtl+l
nJB^l a^ glel tclu ol otnl lB)Flz eure?Bu.r no,rerdn
(qfg 5)
(e€ s)
f('o.'o+'o.^o+^o.'o)- ,,o+ ,^o+ ,, "1. j+=
(e'€ E) = {[(',
-' o). (' o -' o)+('o -'o).('o -' o) +(' o - r o).(' o -' o)fa . 7-
+ z(" o -' o)+ z('o-,o)+ r(' o -, o1\.4 = ",
(aZ g) arru^oJ e??1 alpod af nre,r1 nulrrz eu ugdeu qc{,ro1_euuou po ofraua tu?BuuoJsp BloFnq B
,(' o * ̂ o *.').;* =(rt. z - r).,' o. €.3,2 = "oy
8'S'rqo
.Y''?t'
:il9A3N3 INQWUOtJO'9
-6Zr-
'?-o Fsolsr^g2 Frr-Eeurl
s fJEUatEtx qJ/quB^e?noq z r3{nrsuol ( L slotldal) qsotefdBu {^els q3Fzelu ru?Aomsod ud ueuz4^
1rp?sgz ;lpul 'ruu,l,I nu?uz Eu erfuaua nr?eruoJap ntotsnq lfqpeff^ fl.q'(6t S)" (49'g) acm,roX
. 1,. ^ 1 a't (q6es) l(to.to+to-zo+zo.'o)-,to+,zo+,,o1.j]=tV
oo0u
(86E S)
(8€ S)
r '='Q_=rn
Lr( o - t o) + r{c
o - z o)+ r(z
o - tt\ #t
(co+zo*to\. 1'9 =ovz, fl.2_l
rc,u (lg S) c (99 9) ecru,ror trur nopnq ugduu qeru,rulq rcoruod lsopfdsu nousp 11-au;pgf,{1
r,r ie sl [(r'r + rr t + r' t). t +(' o.' o +' o. A o + r o.' o)- r' o + "^ o * r' o].fi = t v
guaopals_uu q,re.rdg od 1qwf,{,r 91et eue?Brrr lcrnlor olnl
(r?rss) f(r"* r^t+ r")'9+ r(*o-'o)* r('o-^o)+ r(^o-'41#=='rv+orT=rT
(SS'S) e (qle'g) ont or uel?nos eu_ap a[nre,r1nupuz eu ar€raua ppeutogap etolsnq gupols4^ E
,(' o * ̂ o * ").;l h
= oov - ov (9s's)
(gg'9) nqupr ez
r1m es nuafqo nu?uf,z Eu ar8taue lulyuuojop elopnq gupelsft a7 'guled af tzfgn gua4ope;d 7
L tsoNASd v tsoNTnad
- 081-'nllp
t a^ w^oJwdz tf t lqqots nDts lu7an'n^els ur?Irqseld ̂ .ft ?uo_.i_az e^oeloog risor4eld qcruery ?z ,cln4suo{
nre^oqa o a;olrdel ,r lpedgd qcq;npoupaffau n eznod eurJuntzes es t tousoun raa^D$ urJrnatu S
tdlqs olq.?l nl;p '7 n fugnocerdz
?uqorpod nopnq ruu^t nueu?urz rurfg-eu s gryQ(ros tupqptuDu w?tpllt/tJ !!d lqulwpod 1u1souda4'n1qodx,r oqlr4sou,rad oqgure 1d gugalnls rua4lqqd 1urud rz amod p,roTr,rod eruymur 1e;a
efapl 'er1ruFuo4 lqlQtgols otd r fire,rlTnod olseq ,(euolvz B^ooIooH gsoqeqd nqeszor,r-0) qsopfdeu
n^qE]s oq?Icqs8[3 z {azaqrf',\ 9:aq 'Kry;wpod
Fqsou,{ed nosf poqsnpoupaf noul?uod rfo,rs org
( de |I-Elg|ImJ aprc ?ot@ ruaunu) farlnxpd qrFzo^ord qrJuanuou z ;c1nasuo1 qcp;npoupef nrp^gu
ud Jugraeldn ?Iolt! luqo^ seupop rfazeq:reu ?a1 'ttlultupod
lwoudad ,ra ,(u-e,ropnq,&r noef ppepp-;
rlrrhl BN flgyepur qrru?Inqsuol {epo? qc&oryF ? qr{^oq4 qrfsooupef z /lm,rcp1fV ,{qoulered
nzaur auqapod noef 7pu ord 'psoudad n^D$ orlltrbw z lgorand n DE oql.tbttt 1u9,rprui,r gur IxEJd
?-lslp?od,$ a^ r.rpe! !flaplau o? 'erupslh !s_s?nos rupod4,,r qcnqsou ad euolsg op rl-eu;3up?pleN'qcalpod{d qtlulsouod a {l.ntrs
ltz?tu olre( ̂m^operzo nosf f-r\e1s gtzeur oy(1 'lclin-qsuol gsoltcJn e^oJs^l no1_eqz as e flr1rqe6 nopgz
as 'rugr{ourcu ue:1cr11,{c qd npueleu no^arm s lcnuuoJop qr,{pru1 rualnrz,r as tl_Eualaur qsorqrpnos
urJu_u.ro;ruod s lsrlnos 9:a11 '.l(1 nosf !.{ulsuorl qcAlsueryfols n ,{,re1s lurnzaru lurtfhf?rppl'aN
qrtl?od4^ qJlolsou^ed ^ f^Gls ,vzew Z.g
'luazHez oq?uu^oql^eu
Ju.4]ln2 lrno^ord Vua|oaop aul?pqo (Iur?lruz nuqrzrut nunclfnporlzor rpg,r) gsoupodzaq
Krrru aupoq.r uqr6lo^z e ,{,re1snos g^ets q3tuzeu qr{u-our ruoqnos az eruF-sqrf,{ - B-qrureJ?drlcrou^o??lDz qc,{qsndgd qrrfaf yua,rouels oqau rl{nlsuol rug^ozuaunp - qolg qrJup?ppz noqo n
'fqsndgdau tlq7rys n\Ep e nqe/.od nouesdapeldud ot\un! t[a[ errqpa,tl z a[ [.tat\ '^ets t[a[ 4^o\e, ef i^e$nos Aets tuz"W
:oDfpt llll?^sf^ ?IBr erua?Tru n B$ oqlzern uefod'('pode eoJn-Osuo1 Juecnorp ?^o41ec luzrusq3au zo^oJd
'ldeu ).lfng?ouauz ;1s91nos aqeuroaS eu?urz 'rl1^
!u-E^ozeuL$) n11ar olef aelnqsuol tlt-E^oqr oqou'(useqnos ulol ',{urlq!
lualt! B ltua^ 'lcerujoJap qcAcqseld Tu,r
';deu) eo{n4suol nBuelsur lug^orlc
.pnq nr?r(r ?u r1e1[e^I es ,{p1 'fnols ,tnau ^4 lnoq^{s^^ noqou os ea)F-qsuol nzo,rord q.1'{qaurerud rce,roT?lsz gqsndHd lqsrfz rc>p4suo1
nouep o:d :nqo19 noupedo 16a; zqeg s{,{p1qp .(tug^oznunp .rr4) Fs_u?nos qr^^qtoupef qcrfof ̂.r?uzor
e ,'{.m,q aupoqa tt,tou?ls ai Flsotl qsol4o 14 e ao{unJ am^opvzrod Jupqds oJd lsnru fpal r.appgmo;1'lTu?n qrr.B^o??lsz qcllf?u^ F.qosld puaqorpod nzo,rord ruaqpq af rcln-qsuo{ aD?B)
po^n t'9
IISONAtrd f,IUOflI'9
usoNAld Ztaolt'9
't8L-'(
1 g :qo zr,r) uolso.rd e,roqSreg nlueqo oq9ru<i eso ,{qco1d yuzaru ar4aur^s noso
l,{q rsnu (q.al?us qJaF^ a^ qsoulsel,,r eufols efnze1.&t pFaleru 11) npuelsiu r;do-nozr e (rlsopo.roulels)
?lrueSouroq I ulapoltrz^ nqcold ltzoru n oq€lsH ^poq ?^oIBl ruo$old A !qd.{^ 'ur6qos$dz
oltf.tlt ll-autofndnlsod ',{qtold XaoqSpg lrzat ,W poq efnprn {par p?deu qc;ue1q ecrlo4 op1
I'9 'rqo
'npuel?u a.{ru$ap gul?oo
[ 'rlsou,rad n^els oqrzaur oua?esop (npue]eu oq?{qapt n tloqeu) n ?ls urg>Jqag,t n1_uuapru n (q
:ao?uuoJep (91cuse1d lU?) gle,tl] luo^l lfeurpz q,rg:d nJ,egepru,,r os Xp1 'gsou-zrud
n^s$ oqluzetll ou5?esop (nlpual?ur oq?lBu a?noq n r10qau) n^els ur?uj_s^l ̂ nlgual?u n (B
:e[ <qtlu Ud 'r{to
'rtzo 'Nto g?deu r{clu slq tctforl aurerz a7 'ru,{u eurfapeJlodpel4 lsopldeu nolrpm afng:ozerz n:olsord
oloqol poq 4pCel aq'atutalz ^pel ep ',to1sotd anq&tog er$mu as '(uq{ggo,re-rd epr,rerdz) ura glsAs
udrocrupelnos unuaelq ,4ua1rn rolsor4 (ur,,lor qcru Blq lurelguuou nosf Aso glocnpz;nos) rtruglsfs
uru^elq ^ t0 'zo 't0 rurugdzu ruqu,relq rusll oqau nurgls. s ruo,rocn4relnos ueualo^z ?ulo^oqll
ud zt '^7 'x7 'zo 'Ao 'xo ,tt?deu rural?ols usel pnq zuegm af esalpl qpoq ,r lsopfdeu ,au,r,,r 7rf ry1
,ueTnBz,(qro1d ?uelo^op B !uzrur - rofsord ̂Tq8!BH t.9
'nPuelsu n^els ulelqarjt
rJ ruauj?,u o luo^orl ;;tquso;d o1o:d o1 nurelsfs oqrie|oV?lez qsoulsel^ e eseypl XT;s!:eqzrzqc
?{.Ltauroeg 'psotufdeu d.{t et-Bp 'lug^oVetvz lsolqr,& Uoldet euarufaz yped ryd urpoqeg
tu!$Fu^ ) eFolsrq e1cr8o1ouqr.r B guledel ?uz tsollle^ tl_?uelBur eq,ruls g>lcrprfq u lue?ols
;ged ftolr[eJ ?^ol_?ueletu Eell{ 'BroDIeJ qc;qf?u,r e qc{aopgapu ?p?{ Bu }sr^gz ale 1$olqs?l^ rul{usp
Ap7,l ord noupef oqaf nosfau nl_?uetsur lsoTlepl s tsou.r-eaf Apel .urfururrl E^gts es edlll los ellrlol? rr
nlep o purpdel ^ oc;no)fz g,roryp ud '1t1qag .rourerur ef egg.;sougu ^ eclnory ?^o{stl r ?^ol{Bl
-ud ocrupuz e7 'rs opz-B{ll ureroureru s ,(sn1od pe1o1s oqa;Bu nTg?vz Bu rlauo1- raqJag e ugwrpx
nJ-8lJOlBru !u9^oqc ?rlqel{ B ?urg^l oJd f]tululpod e.g
/v4 vv^rHv I ^-, a tv-, I
L tsoN^ld v tsoNznad
-ztr-fizo lto
io -86=-n6=fr6='l
uerqruod eugp ef qsou?e&aq srnr e eo ,yro qcrcrupemos o ,r1, ?poq ̂ rug? lzauralto.td tuo^obto2 otlVtso,td ot1tu14d olel (Z'9 rqo zr,r) 44 uupoq uquorrord e g ul{tg?od rcrfszeq$d
nluqld q?dsu n1snzl uolez ez eq{nqo aur;1o,r I n.geurered nur?urpef gugun nopor gpdzu Buqcs6^^ ?ur?uqd 'lun^q,tm qsotd 'r'4 o gupof as o|se? ru{e e /$l lpr lJe o??lsz q?qlud e{Il_s@eu nouEl? az^olou(2 9 rqo zn) no-g? ;rzouldsa.r (l'9 rqo zr,r) noqcold nzaru s {I r+i W^o4ga, ?ryo,t{ un41es.rud
u?ruozgrz af ,re1s nza1al 'to 'ro nun$,{s oq?^onrpalnos n:p_e1od z lry^o^za^Fz ull^lpl pgqcfa..aclnqsuo4
n^EEls oq?Ffdsuau z auntn42ruz pqod {Jug^oQqelpo r? nm^o4a)vz. o q-apf 'eruafnprzir noldrg) rya.4rrypn^oaw olord as e,rdzeu s tu.e^o?qepo oqeu lu-B^o??lsz uraqpq pgdeu qcrurrqq fupuz q?qBJd efn?m
(lco=to' (l)zo--zo' (l)'o ='o
r:lru or nollqeurend guesdod ruolsord 2aoq8m11 ,r u1,rrr-;'nlrrElpe^I oqp:p e oq9rud nso autaur,(s nso no,rs e-z nleualeur ardol]oz ?u"p-Eplodpetd Bpo^Sp
z lqdo eur 'to 'to noullor no^ocrupslnos as ̂qcold lrzeru rcrugesr.ud at glaU tlR? trzeur olEI
1u.9'Pr9) AlNy^o??rvz2
0Hllsord vyr4JUd
vvAtu)r3vA0??Ivz yN3380
'2 9
'Jqo su ou?luoz_urz o1 af 1ef lrzo .r3o F?deu !u^B1q etrupelnos vz (gsolsfdeu
ruzeu rut?csop Ud) gur fi poq 4p?"rl q1f3l 'u ntg2 lnau lrlsar)lyz (zo 'ro nu?$,G ur?^o3rupa$os ̂'f1) nuer.�erp q,roqSraH ̂ a,?orx af pedHd oluel olord '0 - 60 pepl,qduu 'e1nu ou ol g?deu ru,reJq oupsf
a[ auur,ro: r$opfdeu ud auurloJ qsoleldeu as aurfnu;n e nqcold quzaut n,roqSreg app aurfnpalg'( df erqaT ',{qruz,tr. 'epr,rpuas ',{ptarurq
;deu) gsgpnos fu91s ;c1n4suo1 grq-urcsds 79t tnourpsopazl uss?nos n usorqsel^ qstudo4ou6 lrdoaouo lsorqseJ,r o1n1 aur-ulg{zeu .rlr4urlol ,qes su qraerus 5A
UsolDssl^ eurf prze-r,{,r (ru?us utoupaf ̂ ul}u_s^orl-E^ ;deu) ,{qo-rft er3olouqrel oqeu (o,ra;p) ,(mt{n:1s
?^s rue^rln pga1erl 4ratl?u !l-g4 'ogul euznr ,r upqds npue1eul oqgupar n ef peplodpegd olua1
'nleu91erx lapour f,rolpd{,r ord eznod puse;d peld psoqsel^ qc,rudo:lozr peplodpald :nlupuzod
usoNASd 4ao3t'9
7'9Iqo
Z VUVSvN3'10^O07
-88t-
(qE 9)(es s)
,oO t O t poo - \_zuapur glqag ord
ao t lg 1 ,{puerur 9ru,ra?noq ord
:n:uir1 e,r l1gpgf,{,r elotrdel'Z ^ ?!f !s anrsf urygoupoq urrrzeu ur{uayo,rop rQ1.^ lugqpwou Vsooupa{ onl nqulwpod 1u1souo4
Q'e)(gpo,rgp qcyu1g1z.! z 1e1seu aqnruou pao- > o) cag- : 9 1e11 ord
(lpo,rgp qc;q-eyz,$ z pSeu aTqruau tzo <o\ uo: 6l qel ord
: r1-af',{pqal ouaTesop oq af npur1eur oq?{qefl n ryge1dn as gsouaad ?tltl"!\ ^r.ts lrt aAI'(vo=Eo =no ?u7llq!{d auepel-1) urerz^njd uels a,r JeuaFur af 'vo > lol\-af
:eJeurroJap (a{rusgld'9Je,r-u) g,ro4,{qz
nleuarrx ^ nouulsnz rue?qalpo od a4 ''rzt lrr?Icqspld nl?ts eA 1-e!:e1eur af 'vo < lo | !l-at
(r'e)Yo =lol
r1-af 'Apqst ouaqxop oq ef 'nlgualetu oqeleu e?noq n nqeldn e6 .t sar4ft rd dnrs 1tza14'0 - eo - co 'o - Lo Apl| lsoFfdsu nosooupef a1_ep eufnpsl5
'(gutn1osqe,(u_u,rorym ApEr'
nosf .doupoq l'Jtr1'el'n). pdo > Ho .�l '$ll o:d 7au ppuaur ?4nlosqp nosf qel o:d fioupoq e7 'uu1d
<ura?qd'(8o usou,rad a4qap1 zaureue,r,{n u.(p1au) ao gsou,rad zaru o1 of gl-euapur qo4{qefi n (q
:Irlt r rlDl ord noufa6 leloTe,rod aura?Ttu noreu 'xo nmll zeu ot ef Bl-uF5|eur qc,lreu,rsTnoq n (e
:p-eqe, ureu urgsooupal qd
,{,te1s ltzau rfnz!:aqereqc araq ',{urpqa,r eur,qJpqo ,{1qnoy 9,roryp e gnoqet Tsoozpafglpels{,r 7',(1ueura1qo.rd psou,rad guep Ju4e; qd ;ua7;pud p,r:d amod efn rergqd e ;ge6eu
or{n-gsuol tuepour su qc{uspeg gyepeTod s:plpeg z,tpqouru r:lnqsuo{ nqr gu 1dnrsgd yupeg-uz
olual a? 'ot eu lcuyurodez Ie;^ atu1u$aN llsorned e qsouln:d qlap?pl_Bz ,r rur,,{rm1sp ruqsoplz
ruaaeq,{.t ?u?el8$op euepnq prupgl^z Turrfaf ord 8 q$t?od4^ rlclrlsou ad qcfr4?q ̂ gue,rBnod
rfptsepf:u tsoq:npoupaf rfo,rs ord 'yqrztsfau ,t1:uolsrq nosf a:aq 'lrsou^ad ̂Dts ttnaur y ltsou7nrd
^Drs Jtzau su eullpJnsnos as B els qalrzeur .{-yueruslqord ?ll?ols gloc z llpa^n eroqs 1[ eusf ry1
lugaolrn qilfef {poleu| B llsou^ed .(1u;upo6 9'9
'poudzd p1tp1t1 oqqd.rrau oqau (rp.{xcqs?ld e qcArqsqe sopftfuu :opord efnpppo eqes po
4pe,r9uod '.f9.46rl opu) an u?nld Dtlxnd luaru g{zru x bfrsrdod apold ru6 uzaur {raq 'oqol epod
'nqtold noualo,rop Iel aurlppqo " nqcold Jmaru ord ruo1sord,r
r 1s9lord ure;ro az1 /uqrcz e rt{n-gsuo{ nolcrSopuy a{g? uzeur 1,2"ry psou2edzeq no4ur s gsopfdeu
qr{uago,rop rselqo afnzaruo 9:a11 'p ru?? nouap^op ouLBIs}z 'rtsou?a&oq erJru Julgurrurut af "t-{ ePI
ru{l?P qrg?od po
n1u4;d nop7e1 eu q-eruesausu E lu_u^o??luz oqgsord leru;;d olqo?l lezs^s O urerflg?od ll-ouape1
,ttr\
wo=ao
, tsoNAfd v tsoNTnad
-itt-
qrXlrqssld lnz e{nu ryuaur r? rg?^ r lazyqrpold ,{p7,r ,{qrruod nryz^ 4 ,pu;[ag o1{q lplrarprlqc{uru gun-6urp qoru ocerd Z lryvero:Eu n)IpelEp ̂ F.erpop ?ruru I Tl_"galsul e{ru)ruts eA u?uz
lu-BumoTz apeppz su Aqcruod nryz,r e bsuroJap qrfngseld n_1nzn Xpo,rlp ;u1-o1.z,S fpm af noqeu3
dnls;;d ;u1942,{g .1
:,{dqs;;d 4 pplspod I s ;fa4qeprelsp fr{rold rrzaur o/1 4ef
.af ry;,r nolz-elo .,{pua;errr
Ju?In_qsuo1 gue,rpnod o:d ,(qco1dtuaur Aroqireg !^ef ^pal as $opfdeu nosofo4 ord lerryupod qcyqsoulad ruep?pJ,uz ur{uezorr;.r
'uraurol uqtlqapl ese1p1 ,rueqn:od lapal9ve�z lry^q vz larmrmod qc{uupaz eutlr lua?esop ?oqaf ?sel?l oq?u,trvz ppoq rr gsolefdeu ,rets afgsouaad gtt,ra!\ Aers ,uzaw
'ruelqslpo od osal?l ̂ nouslslz ecsuroJep ep^q o!(I npoq !lo{o ur?{e^ ?u?ap5op,r 1ua;o,r1a1d (qcficqssld f? qr4,ioT{gz rtoqsu) r{J4p^q 1rrz^ Iepalsgu ez r,W^oq?laz lol4urpodrlr.{rn:p ?z eur ruagorlald 7or{5{ "set?t oqaue?!$z ?poq,r psorfdeu.rels af4sou1rud Aers luzery
:oqe1 4soulad e $sorqrud {,reS Juzaurle^ouucp errremur rlsolefdeu a,ro:olso:d f4lrurpod ord nuru nern nqelzl su V?l a'r-.npdeu qc1u,re1qrl:lolsolrla^ eu aznod rsllyzau useQnos ?qJruod a? .AJez_e1n rlsoue;nqZ .ltf?Izols apz ef,{1u;urpodrutsou,rad fuaAourls {pat e p?deu lunulq e^olnueu ul ?uJeqo nosf 1trso1oldou Vaotolsold 174
' ,,,(n tnsoyl oqultuporl,, eu_ulz ( 1
.9) *rluror af olorg'oreuuoJep (al3useld) 9p^! lg)lttrz^ noupod o !r?d?u ut?.laDl rJd .efnQm (I.9) qqz^ nuror qoJdBN
'IteuuoJep ql4FA! ryrz,r rcrfnzauro n-luFrpod o gupef es qc,{teua3?noq nleulrleltr n 4Ap4 r ,,(:1u1wpodtutr^oulad,, Jue,r,{zeu nosf (q ? C.9) qsou^oraN .pdzu qca{ue1o,rop F?lqo lpuz elg? gulls
(0 > .o ord)o ' (0 < -o ord) tng_rl
ruguod z aunprn nsou?edzeq rut{ .(usou,rod 91qag zeu 1-epapur fiqa11 ord
tlznl{ lzeur igpelsu .{teu^a^mcq c:d) n1_e'lop'ar u:-Eloupoq ur}uzaru !fsp! odpo'pro- i{ser'rro ,{poB
lolnfr;= tl
ng ug p+
f'9 'rqo
0.e 00r9oo 9-'ug -
|l,w e'pFapu ,{ryag ord trryp n 'dser trqsl ̂ pgdeu gue1o,rop ... -EJ = *
o0
'asor oJ=
'ooo
ulu y\o --t-- = o
0
:l?gLZ apl
usoNASd 4ao3t'9
-_-r-
- 9r1.-
es (ruoat) 7-?tod.{q otq.ar spq npo^lp oloqol Z }3)F-rlsuort nBuapur lodo dsar .'do rtsou ad g{rlspl
z.tu oqau ro nznpl zeur amod 1utz l?sls :,{lgnoTz e^olep B ?Aoqe1 asooupef qcrcpals$ eu eznod Xuaqopz
,{pe1 ncxf Fso;e!'&u poel,r ,(1u;urpod lrqsou od auolslsss o11el ',(lqurpod Ju$ou ad {ue, z1see noef
nmu,rorod oloqot ?peHz-z pN qsopfd?u Fooupef - eqsno)F ?^or{sl qd ur.(ugprfz txeloLIBJ unclfsp! odpo
s u_u,teurorod at roqeg olual d$ orilaua tu?auuoJep Etu?ur 'p?deu 9^ol^urs tq_sunxeru
'p?deu
a^opuuou Julgulrxetu ldeu oualo,rz 1,(q a?Bur roLIeJ p1(nporpot e7 'npuepur yua^mrod o oqou tJsu.roJepqic4leul n\ruz^ o elnporlzo: Uso1efdeu aso*r;.,. qd ?uet lol.leJ &rprn rfepgqodpe;d guet1. 'ltsouad
(altoat) tn1od,(r1 ,ra rp,ropnq.{,r Uolne lz0u ft?od,&r nnsou,rad ,{uppg,ro:d t{q ,(qoru ,{qe 'gsou,,raJ
,{lurupod p,ropuuo.; or4nu o1.(q 1eq,r olsaqd 'saup nosf ?eu ! orl ?qaru otsau ,tlqrupod ,{1Xq ;u.?^olaf/htupluaun-redxa qcrfafo:d 4quror e euretz g^L'ts qcnzeur qy;spod 1q912{ e1,{qeu,{qop ?u,'gpeu op ?V
dnls;;d (fprlaroal) 4Irrletodf H .e
'unqosr"r& urpap rur:lfnpelseu euelsr-z Aqrold ;rzaur ,{,roq?reg rua;p,ro
olef ;7no;s 1es,r 4sopldeu asoacl,, _.ud 1a;noy Qpals{n [rl_?ualsrr l ]szouu auezauo o:d ,{qcold ;rzaur
lpoq !,us?ouul auuzauro amod te)sz ^lJu\Bld ,{pal a[ra4mu g]uaruuadxe bourod lq?ur q?deu,$&ols
l,upoupaf qupnlua^e 'qsopfdsu elauqu grnsld qupglsop F^ozqeer eupeusau mr1a,r af 'Juaz.qu ,tae^oz3Lz
(gup€ll-su ?u?etz e) ruprcads o1 afnpc?^,\ :a_^r-Lz1lqo grrqerz ef gsopfduu ?60!-0'11 Ud lluouucdxe pgp_e,lord
aliql"ld 'nqcold nzaur ;ulglueuruedxo aut_elplz IBI e nqcold euryo1o:d trlqs nurnveur nuaufe$
u4c;fepnodpo ',{pog ,{qro1d nzaru npoq nlEJ 5urauelsop u41 auratnlcdo dnrod e Ju_E^o??Fz ^rtnt*{ A{faurr1o.r,7 ruo1so:d ?^oq8pH ,+ .{.rut unau poq uapelauratrelsop unl 'n ,s]s oqnzeru atrraur{.ssop ?s
'oqnoJp
Ip.l 9?dpu aurafnp,irz gudru-sod e E^oTAtyz nol,rqx ,{ua1m 'nm^oqe.tez Jeq?,reqr ,j1srf auylo,rz :otr1e1
eurcfndn6od ruol-ud qso1eldeu gsooupal n qcel^moy qc,{,roryp u qr.{,roqet Ud o1.{q nurol oryf Xlcr?opue'puJetuauruadra lsopfdeu nosofo.g o:d qcold qcnzaru q:{,roq3reH lus)lsf eu suo?oJez af e1sac u. qn:g
dnlsr;d lu1g1uaur!redx1 .Z
'gm1od z rfe,r,{1d,{,r .areq tzn6 rzeu urstoupoq 1 g;fiop ,(ycqaroel r orqour
af 1e6 zua^vueu n oI emtlnns af epl '?lslx ,r p,rad eutTez znpl ruolr&I ?udrusod nzng q Fpqcop egoel
opl alpod(.fpgut ,(qcruod ra) ,{uupaodm gqapnu.rd pg;u ,(urop nosfeu nJ4s,tq qra5rul qc4req?u su
e? 1Dt€-l z rzeqcA,,r g.raq 'lrelolsrp auoel e[ rf,euuo.]ap qJfi3qseld utalnzlr rfpuqorpod as plfs 4qEz auoal
pfpnop aua;pumu &oupoq .4p,roqsqa;d guqose-uoqouur IB!^ [s qrflirlgtsfqzaru z nzng azeur,{loupoq
?uetl?odI^ Xlcga:oe1 'gs91noe o^m:od 1 ceuoleu e qeze^ qJ4^outolBEeu e qr,$tcrJe$Krlzaru qcr{uurefrzr
trm^o^sru"u B uursuuolap ufi1cqse1d I IEs^ z"u.op qoJue?guz qJ!fl?^ Ud .lf,suuoJop ergrud o apz
aiijiic/ioq :r,i;;s cqiip,ind op rgdz rua1qa1po od,{ruorc s g.si{ fuoupoq no111m ,{p q-t?oqeldaN .Ju?uz
as 1rr11rr fzoru .{1s c normsod quxa{vz,t acqur-u .r ,{urop as nueps run;fgu,r lafgvz * .,{gs ;ru,auopzoru
Ifqsxe acTgrl glrlle1s&rt r'. ,{ruop 2e1,,r,1 r} oI Iso4sel^ gl3lueq.eur eu ,rq,r {rzerf,r gur g-rall bg-rrur
no,rorolso:d noulaplrerd -uo^l ? n)lpg;od oqaUqm epod Arnz,opos ,{ulop nosf rrJqs,{q nru n .nmqruN
no1c164s,{rq rfuur prlsu:rrfogs a,t aus,\Enod f,ro; pzuuo.;ap qi/qe^-q Trz lJlt?^s^^ aqnu u4;rrapeld
af hlol {qcruod IrE^ Ieumory rt€urrtrq. q ?,!ild,{^ oqol 7 (muafqooqnu,t eznod nnes ura, Tlapl^ Bl_euotsru n huefqooDlBur ^ '3euuojep elcqsqd 1fic) u,\ n s|s rrle, ur_e^l ̂ Bl_sualElx n) rceuuolap
L rsoNASd v tsoNznud
-98r-)Ied p?deu qrtu eJq usolrla^ tpEod Eaureqo u^d
y0_to_Lo
nrB^J e^ ̂trrussld n)tulurpod n^oi6ell l!{p-sf ̂ 5ruo?!ur (c .q .ey.9) lqev,r loeurquro)
(cu q)z _ ,",,,, to-Lo- "
(S'9 rqo 4^) epnq Dat F?devero1,{uts ;ptg,rfau ryd
'to < zo < to lt?deu qc;uae1q ;pe1od gsopfdeu g,rorolsord n rt€u4?Bruo
s'9 :qot'9 'rqo
(qr.9)
;re 1d e ,(lqnoAz a,roqq z euplgfz e1{q ?sf hl_Bue1eu oq?l .u;ncdr,o nzritl1�zeut su usolsr^Bz ̂ 1,9 Jqo uu qet flsord o;d nurer?erp e,rorqo14l z llpo^po eroe?Tur y, nuerla1
(el s)l1-tdttt
:nre,r1 al psd nlu,mrpodolru atxo?But ,{Icqcuatet\ ',{toupoq nzau eug,esop ?poq olruol ,r p?deu ?^o{^urs Ju1_uturxeur 7,{p1 'otro?psop Rsrl?l or{.ua4ls:z ?poq ̂ epnq (.{tlcuseld ,tlulurpod rloqau) qsor4rud n e1s oqluzen
:ppdeu 9,ro1,(urs 1uprrnxetu uolne qrlo,rz .(ecrzqseld
n{lg?od rroqau) usorqrud n^srs oqruzau n{rz^ o afnporlzor ^raq :roDlsJ ez !(Jodo ,srrg ,(gggl)
DJhIJ '(tLLl) qutolnoJ tp^oFuuoJ pudqsod noraq .gsou,rad qaugupod qc,rpre6fau z eupef o1 e1(B^olseng 3s^orsell)
,,*1,. - lf?dun qJf^o{.{uts qJrul.Bulxurtr llsou^ed srlulupod I.9.9
,(;gg.reluur ?lBu^e?noq ord llsotr^ed f4u;rupo6 9.9'nluauruadxe
;fepr,rodpo adalfau greq .,Oa1od,{q nnsou.od pfplz^agrpteu{; rznod ourepe,rn ,{1o11dq op1 qsp? prfnpoFgu n .gpdr{,r qc;wsouaod pry? ?utsrz e^ $upop g^trnod
z _y, xo- '
usoNAsd lao1t'9
. LT,L.e nlsueleul rus^oqc nuqlqe{rl 0I IE!^ z?q.op nqe oqauuapeq^ ura^q^ e^oFu f ?upBdHd
.glu|u:r Et"t
5f {ed Joqau '(9
9 -rqo ̂ ) ?lryat qufats puTlqqd pvdou lunoltq r4t ourlca;r nost Kpy \e1 $uuerlsa;,1 fi1a,r
?upuolsu ,{1c1ra:oa1 Euaprx seus gsourad ar.roal ,(ro.rsr{t opl elpod nq4 oqgsofo.! qselqo ,r tso1eftleuo:d uqnod gd afn,tafiord g,rnqldau as ?or
'so p$eu oq1rpegs ̂rtl e^eqpeuaz ry;,r e44urpod or1'qgoeu qrJu^eFl
4so11a.r pe;od l_?ru lsoqnu af nopoq{.,reu .Fa{pgl'^^ ?Irgarnlaul aqcnporrpef ef auoal ol?l nopoqf1
ruazr,god e;qop prrlgueuruodxe
,{1-epapur otfl ord 5f sorgeld rfel (6 2 rqo zl ) n{ED r nqa ,r (nznJ4 ozour tue^zesop op) qsoqssl
elrrueqieur 9ufe1s ,Clcp1ad ;feur 9:al1 e tieuuoJop q.Fl.ussld qr4r a^ qruz eI unualruod pald
lzeqsop ?qtlu n '(etsu^e^moq) n sls ul?urg^l ,r Xl-vuepur o:d emOd U{nod ezl ,,r8s1,, llsou d lpoel
:rlnuJqs
leal^tl oot =(oe-)-ol = o-ro -'uo = o"'o
'{Pe1 ezo = utuo e to = Euro al-edt^l 0S- = co .B<lhl
0g- = zo ?dhi g; = ro lsolefdeu ord ..rdep .o aso
ett ora;.r ect,r[au al- ?:atl '!t?deu \rttro ez e oasd,r ecr.lfau af aje11 .ppdeu erualn7z,rod nuo eZ .a
lnat{l OS =0-08 = E o - Lo = tttlu o -'o"'o = F, o
ou.ror led el uqdeu aue^olnper e 0 : eo e[ F?dEunr^?lq IlaI a7 'lJ^^n oqnu ef e6p1 0Z: zo e edn 0g = ,o rlsopfd"u grrm,ro; guapez qd ldeu;a,ro:olso:d qsolefdeu elsrpa;q z p,,roznsod lsolefdpu nop?I oulnu af paro ruarpef,{a 9u,r,uds o:6 .1
:ft1mpuzo,1
.gso1eldeu auep acruTnq ,(,',orqoy4 1;tqnfeu ruqur"rud ourrot af X,ro1s rufurIqr1 .pgdeu oqmaelq
oqluleurunx e oqruputrx?ul nllpzo.l ou^ol pqdeu guenolnpor ̂pal af ,,r'tal.,, qsou ed euoel f)'nosooupef eu ,{qo1ef apa,raqd lsopfdeu e,rorolsord os ur,,!:a11 .pgdeu gue,rolnpsr ef
(e e)
o - tn'' o = '"to u
:,ttsno{z e^oq?l ?sooupaf ppe1ryz eu gu?l;rfz u?deu ?ualo,\op af
lfllx y'_o^
,lo - '
apI
OO;"t"'O-^nutg=ParO
psdgz aue4nnr ,,,tllzr,, r$ou,red euoat elpod $o|eldeu nosofo4 ord nlulurpod tutsouaad'q?dea
tu^Dlq 'tulgummx dsar '5qu, uru<uur af lrr.ro 'dsel bo eprl
(s 9)
L tsoNAsd v tsoNznad
xo=I.tIu0_rDruo
,{qefl nru,etsfs oqauapa^n z aurzrDqo (0: co qdeu) polefdeu normnor ot4',{qco1d nrzaur eu ?uapsll ,Q,repeTod afnglds 7oc trlueqo oq9rud noso s grqolol efeso Toqat hlouzrqoqeloqrlso! oqgqopr,rad n^re^t a^ nqcold Fzaru efnzarul,r n:olsord ploqSmg ̂ Brlqz^ lsa; olqo?J
(S) xo=Lo
(S) \e=zs-
(t) Yo = to-Zo
v0_ c0_ L0
vo_zo_t0
Yo=La-zo
-88I-
'/ 9
'Jqo eu qc4uaFen{€z 1laurltd qsei }Jru o.l nosf ?oo
(g) xs = Ls-
Q) xo=zo
(t) re = zs- Ls
x0_10_to
X9=tg-19
v0_20_Lo
(8 9)
.gqzp,r 1se; ,{pal ;re1d nqcold ;uem org'tqueutfau e lupogso:d 'y;tg,rfeu.nreqo
$q aZgu to e.o ,to ppdeu qcJuaeg z llolfloDl eT,evryry^rl
?^p)t '(S'9) nqe]z'| ez oupaus eunzrDqo ,{ryrumod {aocsa:1 nqcold pzeru n^oq8lpH ord ecruaog
\19)
e:lplp rJne^ ual ofnf$,{,r rxerd I as nqq oqguu?-qse$pedHd ,1oqau
'4rz^e,rgz {e!,\ rueu ,,ru1,, ruoal {aFlsopau {uopall ?loupoq lzoru glsrf of oo ap;1
-o;tO+zo+Lo
nolqurpod uupuldopgl;a[ auool otsl t4q e?r"lul nqel oqauuBlls.l^ ppedHd ,l ,,ryl,, qsou^ad euoel ptz.rn 91cp1erd oj4
9'9 'rqo
Z^oo=u1
qer,r XrrTalgp euoe1o191spod peld (q 9 9) nqep,r,{lcrEolery :Dtltupuzod
ltsoNAfd 3uo3t'9
-6CD-
f{t o., o * t o. z o +, o. t o)-
rt o +
rz o +
rt rl
# = t,
a,ru:dn cd,rc
f,P - t o) +,(t o - z o) + r(z o -'')l ?o
ll =',
npdzu qc;u,re1q ;coruod oqau
f(r',* r^,* r'r)'9* r('o-'o)* r('o-^o)* r(^t-"1f /3--',(E nloldvl zr,r) af lsopfdeu nouraqo ord+ ep{
(6 9)Yr -- rv^par
'usopfdeu esooupefz rcrft^41d,{^ ),r7 ,&oupoq nzaru auq,asop ry usorfdeu gsoacpl qd nru,rl
nu?utz pu arfreue yu2euuo3ap gu.rgur 7Ap:1 'apfop nlets num.Eeru I e?'!^ouels zgtodfq z eupal
' (.&tcusqd elulurpod oqef uu-e,rozorrpo
e1,{q eret:1) aJulupod aufels e1 nopo,r Kzg;od.{q ,{uqca;n zatod.{q qc,(uzr.u gpeq-vz eu Ktotnz nuy;pp
r: (19141y ,razcu pnlpo) ta,(tpuag e u:rsas!hl 'tuaragnH eqr^qzau cu_D^optruo1 81,{q e1u;urpod otel
gry J1a8.raue'HI4JH llsou,red srtu!rupod Z'9'9
L'9'tqo
'9pdeu
qc,{qsndHd pelqo afn relspe;d eqcold guerro;urg,(n oo noloupoq nouep n:g? noualonop ??l tllsarlyz
eutrre?Bur L'9 'rqo Eu nuJu8elp oC tltuptlr.tt4s;.r^ ^nisatJ '^4 - sTqeq!,lqsol Js^f gur eJ_s? Izenl
VU\D lNZSl^l
I tsoNAtd v tsoNznad
-ovu-s aulafn.u:d rlso[?edzeq Arul rup^o n ud ?pe^?uod (g 9 )qo zr^) Iit. to = trlruenro;od o rcSqrrrl
:-Jnoussdo nuref g4g nlurupod o-rd e 4rqaqnqse! 4ulapr^eld qrryupod nlocse{ o:d eu_B^glsop
(r1eo1d noqo ^so ru?urs a,r npolqod Ud) nlgrlqrd ruelf,rtanrouoxe A -(9
9) ,trpp^ nur?usp nlousJq
nueloqUsq nlorsarl qesdo q,rpd afe ntuetlo oqarud noso s etqolot ef eso ?oqaf 'oep,r
f,roqnrl af
eqcogd ruza61 Aqcold rrzau-r ruarnlror ruopord lnoqSpg ,r nosf(cg1 9) oqau (q0l'9) kletz1'(l'g'g'lspo zr.{) u,o nloupor{ 1:;fnzauro osou,lsd nlulurpod o1n1 1u1dop o4nu lqdo efqa ^uu"l$al^ ord
'rpp,r a{lcqeruapur {qo1s prupurod ;faf epoq{,rsu o4ef afnzoJn as qc;ceryde qc{rag?u 1;g
:I^lHlH elroef Bpoq4^rN
'F?deu BuqJel^ Fqsldn as aeu1rpod ;qsou ed A'E'p?dsu
Fsolrlo^ ;pe;od ryrz eqep yuep '7
'(e1y9 zz:$t zt/.) eugprz ourqd q-nosfeu 'p?deu Ju^?Fl lp^o?m ?l4nu lueN
.l
:HhlH ePort i{poqf^
'usou?alnls es ?poqs elqop rule^ o^ nosfgraq'{1pa1s{,r g^ep ?qlm n '(apu,raTnoq) uaur?^t nlels a,r X19uo1eut o:d peld gsou,red auoal o1e1
'c 'q 's01 9 q.trnl{or,r ur{uepe,rn q3lcellllporrr In alp ruru?deu ruru,{eg
noua1p9f,{.1 lsolefdeu ord oqru $opfdeu nouraqo ord rue,rt urgupoqn an fpl,r 1e,rpn {,r aruapnq Pflo ap1
( .9) oD>F g
:nre,r1 e,r, (ut1; rlsouQedaq nolur rul_erururur
s) f1u[upod !u$ou,\ad tgsd euamur 'pt e o{ef (r 'q "0t 9) cru,ror {uer1s e^al rl-eur?suzo
(ro t 9)vo= (Lo.to+to.zo+zo.to)- ,to + ,zo + ,tolgnerdr; od oqau
(qoI e), o = r(, o - t o) + r(, o - z o)+ r(, o - to)t.j;
pnq ruruqdeu ruurnulq noue;pufX,r lsopfdeu ord
lsopfdeu noucaqo ord
:qcs:e,U qrp;fnpa1ryu rr 97411 t(t14tsn1d
nlulrupod trn?pqo p,rudn od e (6 9) Aptrupod Jmau op qqerir qcfuapaln Juazesop od
a.cv0, -. ' = vJy
7 rI +l
ueqet uq$ooupaf nougqgureu q,{t o:d 'xry nroupoq IEOUI eur!?pqo '0 = 80
=zo to = ro o?& luqa$Iz lsolufduu nosooupaf nrzaru ord Xloupoq gqsE^ olqr?l op q-eu4pssoo
?F1
usoNASd traoSt'9
'tvr-'luoet noqo elpod ,fu_E? euelo^op lltsar{pz nulet8erp oloqot op lF{oul uroq3fq l?do
6'9 'rqo
HI{ H
rg_
Ddt^l-Bt -
\
I Z'trtl 5..-
9I
\
I rllN 90t
,g
H_JNHt-
V3S]UI
'euesdo esdrle oyel ofTnursf luelrqaqgrlso; u:{,rocser1
s ?u?elods 69 rqo Eu €u?ruozeuz af e:a11 'Xsdrla rcru,ro.r nuu8erp a,,roqSleH,r afn relspald 7or
(zl 9) zxg=zg.to- ,zo+ rlo
aufld,/tt'6 = eo ldeu {p1 lsolBfdeu nouul^ol old
8'9 'rqo
.-,.r,' 'a p r:*I.d
xxx fuiy' arapt+ g,wd
'oo = ol neurolod o Ht^trH s "rro1,, gsou rd ruoa1apod qcogd qcfualo,rop lquq:d llsaquzoupeus 7gl az1 nurer8urp oloqol oO xo : ,r, uel?utolod s lqser:1 urerSerp,{1ec aure4qut 'pgdeu,{.rgurod
9
.*"r Bf,otf ,u:a,r g!$d
npx fuoy';uour 11.,yd
L tsoNASd v tsoNznad
'z?v'
Pog
,o ='
?uoeqo p?ld lsougadzaq n4ur or4
:luara! lura?od
',Qcgnri r qurspod al,pe,rord ;u4eg edl I 00€ : vo Toqaf 'pueleur
{puiraTnoq ord
Bdt! Ose- = so ?d'\ 00t- : zo "dl,ri 0st- = 'o lsopfdsu no^orolsord ord gsou2e&aq nr,nu a1a2rn
I'9 pBpu{d
';gfpupoq,r pudgd {uap ord
apnq _erell 'n1 lqo,r ,{per aurapnq .{1cu1er4 .,c1u,rupod gqo p,rpnod eue4u'(ggfaqo ef 7oe) atuptt
y;fgusa1d rcrzodsrp 1 qcatpod{,r r;d eumruou ,tpor pn1o4 oTog 1 ;{afsueu l4q eZBu, eq{qc ;upunxeur
o7 'urg s auqopodqp,re.rd qufals ez .&roqs?ld ,{ry1urpod pqo aurafn4e,rod flcqxerd oto:; 'guululupod
eur?qo rzatrr ,{1a7a1 ,t1pa1sfi }ulglueuruadxe rys,r ttg1stpfap HI IH )t asuz qcepedqd qcfaqgu
,r 'aeururpod ?^ocserl 1 { 4r1q ecr,r ,f1pa1s{.,r as qcaped;;d qt4€q?u A ,,ftrcqsld qcgTr,nupod.
o epp arxllo^orl 'lceuuoJep qcAcqs"ld nryrz,r latgpod [t th?$ oq,ruzaru tue^zesop oug^opels
oqXq 7o1r1a1 'pulgtuauruadxa Xue,roqp,rord n:olne nopsl ,{1Iq ,{4ryrpod ?qO %SI e}r op 0 Po
as efnq,{qod ',{11e,r ;q-ud ruau mrelururpod eru?qo rzeru lpzor e7 'gusef af 6 9 'rqo 3 8 9 rqo z ?lf
III trH B ,t,rocse.r; ltsou^od alroal !uel?^o B lu.Bu^ors e'9'9
0t'9'rqo
'lsopfdeu nouul^or o oq?r3rp n e nono:olsord o gupef as oqg,ud n Tpe,rquod'0l g lqo s g g 'rqo t?^og?rrrEz {8!^ auJuJsaN llulaqlllsel a{uleplaerd su os tfnuuoJsu?-q luoel
nnocsa:1 nruatsfs ure^oJrupefnos oluol ^ ll-oulrzBJqoz 0l '9 'lqo n^ - auoel ogt spod ,{r-eq 9ue1o,rop
'dsa.r';rrzeur luezerqoz llf?upeus ord 1gM,,r ezl oqoJ'ro n:?tnolod o *Jtqnr;l Itru or (ZI'9) q€1z^
efn rulspeqd '.021 leqg yfu.n,rs ro e lo ,{so ̂pl hurers^s u?^oclupEnos u?Flr,losol L:Dtlwpuzod
V3S]UI
trsoNASd laolt'9
1
-wt.-
lcarrloct = (s's ) q'or - .(s s-) *.q'orl . ot = , o . , o -
,, o + ,t o lt
= -'p", o
rup.\l op tsotpldeu nouur.ror o;d 1r.re:dn (11.9),{qef,r ozl HWH auoal olpod
wlL9'l=-=-xy
0tzgsou2edzoq lsllurlnos e
leatilftt =(se-)-sor --zo-to=rF o
sf '(9 9) qvp,r zr,r '(,,*,"r,,) eFoal ,{,rocserl alpod
:!uaqav
'8dl^{ 0}Z = vo nmpl zeur l-egoleur ll-gul
'0--.. to o ndl^l gS- : zo "d1.|,1 901 - Lo lsopfdru nonn,ro: o.rd qsou?adzaq runu,(1cr?opue elroua5
z'9 pEpt.r*d
olA a =:=- = -x rl
pstd11 poq tu,r.o:u.Id afnze:qoz norall lsotEfdPu guepez euasauX,r af?oq?u op .g.9 ..rqo aurfqnfrl
Er=ffi= n,\,1
Lr'. =# = o"\
:luagaq V1c{ug
ueld 91111 auoel apo6
leantc'rcr . ,[(s'r) s'r-]* ,[(s's-)-r-]* _[(t-)-t-"]l ,0, *
=
= -(to- tol+ _(t o - tol* (zo - ro\lt. Z = **,o, z, I z\
-tl Zl.
0sl -L = - = 'xx00e
feantl ost = (ost-)-ooc- : Lo - zo = ulu o - ru o = +.'o
eTael
e?lul
t tsoNASd V tSoNZnAd
sf (f,rocserl) ,,rc.ar.,, usou,rsd euoal eypog
(qt I 9)
(qsl 9)
(eE I 9)
-wr-
ca o; nulsl= ce' o
lO9;rug:Pat g
"T\ =coo e Fdo
1ep ord e
fpat af qA o16
(ells)
"31 ="1t9deu qc{ue1o.,rop prTnod qd (qtE1 9) gqez,r ez euyT:pqo .*o* nlt4utpod 1u1souaa4
'p9deu (oqauodgz Q) oqe.roryp nloupoq Fqnlosq? lgq,rfau aur;pesop '"u lo I eZ
*o=*lolryp ord
Ho=n-g
qet o:d tesdez e{tnur as "rocr, usoulad 91qoq1 e1u;urpo6 'lureldneu es lf?deu ?^p lrqstsoPdo =pvo n1ep,r 'dsar 'ao =rao nr{el ̂ nBuelsur qsou,rod 91qag {toupoq eurBsop pgdeu 9,ro1guuou
rrrurelxa arat\?u 1,,(p1 ',{pqot nlguoleu ruaqruod 1 gzzqoop usonmd AzapdAq y;.re1sfau o191 aJpog
,,PUo,, - ft?dau oqeloleurou oq!trlgrulxrrtr alpod psou.rad 91qe.r^rl s{ulwpod I'a'9
'gselqo gurod.uz ,r. co :.o : to nso larpord guau gsoued olqepl eqcold
nzaur e,roq8re11 az 'eM1d l?do oqol z e Ju4ruod oqolqepl lnourrysop npuapu orpup-q n ogupodau
ss ?dhl 000 0E- = co - zo : ro ,{loupoq op ?e UreIEI1 urfuueqsq^ 0 lso1eldsu nolcgu6orp,{q nurol
gordeSl co - zo : ,o nlueqo oqprrud nso us?lqo g^oqsl ̂ gurro:d r$ou ed gry.pt eqcold ;uzeur enoq8ql
,{pat e urautol urfiqa44 u,o ,&oupoq 9s1f ;ua^zusop od trElr"1gu, Xuqceq,r;gruod ts mF} ur?uEqses^^
qd ap 'rlpern aursf ,{pga n ognr?noq ord qsou ad ruost e Alppszld 1ry4qord ;;6
g:gurod z au4;p-ef,(r gsougadzaq ru;61 'r uepoq uqu oterd gue,ro,relspe;d
lsopfdeu gucprz euaseu,tr egfq Tqcru op '01'9 dsa.r '6 9 rqo er!ft?n {^ ;ro^se; uapl3urS gg
ell.el
llsou^rd ptqel)l ,{4qupo6 4'9
6\-ffi=*,,1
98'l =91 =-'vtl0nz
usoNAJd 3NO3t'9
-IrD-
tl'g lqo eu ouepe^otd ar?oJ .(tl.g ..lqo Bu z 3 , a3rr{ruI)nl"ll e nt{pl oqglsold urrotumll al nou?al oruefnulxolde usouseld noutaplsop s re?od4^ {1cp4erdo:d equrolno3 alpod rf oto.r6 eue^epz optu uof at em2 yzew eV )^4ld ^ nsnlod 7
.r1.9 .lqo
Du cu?ruorcv af glcll 'nle? nzaur nrrrerielp 3^oJrlol4l ̂ rfnqld.{,r qsolefdeu erz.ru o:d1ry,{poq o1,(1'(al'9 'rqo zr^) (zo) ppdeu ru;u,re1q u4upalso:d eu apz
tqapzal p3deu oqlu ?lq (co) oqlupuluru e (ro) orlulgunxeur rxalrDzot ?ua n l.lqnDl rrzaur pu, Eo ,$oupoq 1;n1sgd
'n1-eusptu egn:od 1 eptop z-qrru ̂ .rry umpoq o? .ouled ef nurs.GElP e^oJqol^l Z.rqosqd
q3azar olqJal ,t 9ret1 'pqdeu oq9^olgrruou ,rr1,r efnnafo:d urel as euse?nos I?l^E
,?Irla^ e^ol,{urs pqdeu
af qc,{:at1 e^ 'qJezel ,r ruaqruod erqoyg elpod g^gts8u rdo > uo af ?qrru n Tl_EFeteu qcfiqa11 g
llsou^ed grlqr*I srlu,r@pod e^otqop Z. L.g
I I'9 'rqo
'rlsolufdeu gualo,rop lsplqo noup^oJu:lf^afnqrnz:qo ereU 1uD? nouelo^op lllss-Dluz auemu apz 1qd6 .pao > uo pedUd o:ri I 1
.9 -lqo
Bu u?ruozerz af frerl 'ca:a,r1p af norep nrzaur e rtueso rul^Aocrupelnos es qc{uTgqou,ror lauy;d
1,$1 urecru,ror (S) '(t) '(Z)'(1) acru,ror nosf (0 = so ord .;deu) usopfdeu gum,ror pedqd o16 .,{4pa1s{,r
erqop ?^9p nqel oqasofog lrs?lqo A .qsou ad ,tzflod,(q !!'le$fau e ;gnpoug:llau otel {aplsopau
{6tf eu,{1d .DFJ otoqor z ?lf gs'Iqo gutodgz n co = zo - ro nso Fupord gureu usou,rad 91qa;1eqco;d ruzaur e,toqScg aq 'nrylepqod ofruodpo eqcold guol,rezn oryf I"Q^ 9.nq
.egc{q noqcold
;uzeu ,{pal ef ruo1so:d A p lu'au^oJ rurtrocrupelnos as qc{rz^pqouaor m.lo., anruaor nosf o1
(S) Pdo-=to
(s) pao_ = zo
(t) Pd o- = Lo
(g) 'do=to
Q) Ho= zo
(t) Ho=Lo
:cru,rOr 9 ruolSorda nqcold ruzaur moq8rell ord aur-e,rglsop .n2duu qcrurrelq z lloIFeU l4q e?Tul rtrug ?ps^?uod
, tsoN(sd v tsoNznad
(qs ls)
-gr}-H9 = t9.61 -19
Pdoag = to.Eb--Lo
(ss I 9)
nre,r1 op ll,re.rdn arrla?Bu norell
Pdo H0| - ___ t -
tg Lg
'usorr,rad 91qaq n-lu.rurpod n rorqoyl auaualsop p,rerdg od Toqag z
(He - pd,,\.' l(ro - ro\- aol.Z\,/rwt[---T=--7------
-tHo pdoao co+Lo
(to <zo < ro o.ld) au-{ld ryd 'tI
9 rqo eu ouepa.tn sf 1e['rua^cerzo q-eurefiTno;
'nTqaqlfo! qc,{ue,ro3n.r;,4,r qsouqopod z eu9^9lsop ryd (ur .{upe1) .{re1 lzaur rcru,roa
tI'9 'rqo
fI'9'rqozt'9'rqo
oqeu
t(h-b)-bli
HVT ANNVUISSSA
usoNASd ]rao3t'9
- Lnr-
Pdo ,4ofcl , =--- ' Lo zg
Pdo a0l7\ r=--- ' zo l9
tdg
(t) / =--:-- ' tO
euraustsop rnt^ol qc,{uspe,rn z ,0 = ro .{deu j(pl lsotefduu noumaor or4'(S
I 9 rqo zl^) qselqo ?urodgz ̂tfcupo:dau e qsclqo gupeH ̂ xo = zo : ro nso eupord 'f1 'Esoured
9{qapl nqcold lzeur eu ,',.Iuepupl
tunl.tcpeTod urlupep19z ept.rodpo alqop cqcold trzeu otllJ .ruucllo oq?,ud noso s guTolor lqdo af eso
Toqaf 'relqaf .{loqqsaq llnzeurX.,r al{ .ur^or Bse! nll.sru^or ruolsord q,roq8reg ,r nosf ,(qe1z,r olx1
Pdo(e) I =-4;
Pdo(s) I =-G;
tdo(t) I -6
pdg Hgt ____' z-o to
Pdo a0t____' Lo tg
pdo d0| =___ ' tg zg
,{prdpd au4our ,{uqrog,r o:d (pgl 9) nq?p^ ez
Iulsou^ad e^otqor\
(er'9)
-,,r€l ,1,, nlulupod lnsou,rrsd ,r elrmr4rod
?ulgruro; apfald 'l = d peld (1_e!_reteru glue^e?noq o.rd 7oe,lguo6 :orlurpuzo.l
Pdo d0, =___ ' Lg zg
Pdo tdoI = ___' zo to
Pdo H0/ =___ ' to to
fpel'to s ze 'ro R?dpu qrlu slq 4so>1r1a,r guurefez,r
eurelslz nqoold rrrzeur nroq3m11 o:d acru,ro;
"3? ='",
,o o>uw o-d _ n- o = P"t o
re^t amod auelldBN (q"S I 9) uroqetz,r Alcr?opm Hpet ̂ as nyrywpod lulsouaad naon1o14
"Jtl =coo E
ep{Poo
I >d =Eo;
Pdo
I >d =Eo
Tpu,ror peld pgdeu qc{ualonop rqruod o16
L lSONA3d V tSONZnad
rpurod rlrpe o arnsfap1
-Bnr-',,x!.uo,, usou^od eFoel epod (gnolo op B Fcur) ,&8? gue^olre? ,{ualsequd gI.g .Jqo ̂ nosf 'ugu ord ou
'(7 9 ..lqo alpod zvr dusod; uual gsou2adzaq drru
Iulgrxrurur ?rrp^opB?od ru?urod ̂ ^Jg? rtzeur z guellsz '?lg? guelo^op sualse:rpu a1_ep ef nryz,urqo rl
9I'9'rqo
'?)J,n{rqgqsel
ruplt eA ru?c luzeur 91 9 rqo eu nuer?erp ?^oqgleH ,r llnzouro ,are11 a4euqld qsap arrurrol nosf loc
sI'9 'rqo
usoNASd 3HO3t'9
I'b=h-:O-tl]
vH3otd JNz3h
<-9
'6tD -
4 t'9 rqo
rNzr^ "Xff-trtfi7
/cl=to='ly
Qpalsfd tsdaltau psoteldeu oyft otd pdppau.afnqds le,repeTod o1ue1oJIs 9raDl
'DtlJold Itnaw D^orrlon,uD {?;AV uselqo guodez n eo =zo = ro nso ule,Juordau eqcold
pzaur ,{qe ruel,repeTod lulup?pl_?z es ,sDlqnosau r,tr|'/"r.t, ayoat nlof o@uuDrlsa;^ pselqo A'ruuaruuadxe
Apats&r s npoqs norqop I?E.o uselqo 9rB^oJerI,{A .,iTugd op eqruro:d apz as .,{1as4 9ute1s
qcgso qc,{upelnos qcel^ eu guq,{^ ,{pa1 s ntusqo oq9rud nso eu surlol al gnq,! ?uhou .quqlooqa,ud noso rcyfozeqco:d noulol noupoq^ urazal qcold qc&oq?ieH z auq?pqo,{:aq .gy.9 n_.,,pe;qourer3qeulaqJs 3u r?ph arqop ozl l{eJ orual ,,rBruo,, auoer afir,roq.{a adgl apz e 6lp6lsf^ ?useldqtlHd opoat '^ortlol s^epau (0 . co l0 < to'.0 < ro) ̂qcold nrzru A,roq?pH nlueqo urJurud ,r Apel? nolurud lcsruryolde s n^ets qonzat-Il elpqo (fl.9 .rqo zr,r) rsulqnoseu nqrl oqeurB{seq^ n ?rrB.qseqrup pN ,,tllso,, auoel ,t1pa1sf,r arqop e^gpeu (Vurod7 \ gupBn p?deu ;fnqesqo greq) rlsopfdeuol,{l ord ?^Bld a? 'e,g{1d.,{,r pulalep 9l,g .lqo
z .}lsou?erDls cs auoel ,{/rorqo;41 upoqs -u.rqop af fpal ep7
'(e a.rrr7ml) uelep ur{sooupaf e (1 ecn4nnr) tuaqel u$sooupat zaur qsopfduu qselqo rr ;c1fnroq,{aef ?uazo,rpo ouoar B^orqo}^l e:/.Iq Tta z.no:p4;d ,(1pqo Jtzsur aceunxordy .pdo > ao e7 .ef rgeuqsXxcqsFaD{srEqi z urluoaf 7qcru n fl-euapu e4qa;1 ord psopfduu qc;meru qc{uplEyfz pu1_zluauruedxa?{l9qo ?uolse.DI?-z nore? noqrs af opl .€1.9 .rqo eu l?pr,r ?1e$pod ̂ nosf gsnlod {4pe1s1t1
f,rolqotr4 B ,,*.O, - {1rrre1eu ,a4qap1 o.ld llsou^ad,lroel lugu^oJs e.z.g
L tsoNASd V tSONZnUd
'09r -
. 8zl Pdo9Z'l = -
qsoupdzaq er,nu e
.(leanl szt = (ozr-) ff
-o I = t o - d -' o =',- o.'# - * o = P" a
:6Aorqol I a;.roa1 lpudgd o1uol ,r a[ 1uoel nonpoq,{ (s
:aura?od
(/tj.rJef r ?rgo?od 1r;e; rt azf \au?wDttz t1c{u11pzot nalqdnu s puultot a{ Tsoto[ilou on1 .7
',Qcger€
1rqa1 a;npoupaf 'qcold qclrzeur rueD{pruq. r uepe[{z^ 'az1au lsopldeu no,rorolsord otnl 'qsou?adzeq
lualjusol IS?lu g^gp elaU ',,rDt'ro,, qsou,lad auoal pqd np,re.rdo 6pz a? 'eurlpr^ {Dlpelstr Z
si', =# =ff=",
leanl ztt=oz.oo?-ozr - zo.d-091
Pdgt O -_ r!- O.E6- Eta g = Fet O
:eurysnlz emod epz groal n rorqo141 (q
ozl PoEE't =..-.._==--=cY - 091 Eo
usoupdzeq er;61
[eaW] OZt = ts = nus = P'ts
r?dcu ?ue^o{npo1:qloal noupoqa epz al ,rntuo ,, (u
't!4 {uuD4sarA a{naolspa1d 6o1o[dnu protolsold o1o1 '1
'qsoteldcu Ad..{r ?uBpsz sqo Eu gsouaad auoal pqo p^oTld? euopnq gpo,rgp qcfulr,lc 7 'psopfdeu
c t {urf o:d gupoq'r ef qrru z gp?el aq 'aularu?vyz nosleu euoeg o t a? 'eu4,r t!9 rc^?lspo
^ ruoqzor olpod ?^orqot\l 2 ,,*o,, :gsou,rod euoel ?^p fuezo,,r.po ,(y{q ,{pFopur ?Tlepl old
:luarav
'edt\ 00t = P.to B sdhl ogl = rao nosfnl-euelBrll oqg{qepr gsou^ed ozeru oqlpsaf
8dL{ 0ZI- = 80 ?d^l 0=to adl{08=to 'Z
?dnl 0Z I : eo "�dtN OZ = zo "dlAI 08 : 'o 'I
qsopfduu ord qsou2edzaq [r,nu eyrouzl5
e'9 pslrtlld
usoNASd 3HO3t'9
' tg}'
lvlof't =
,*,,.WO= .\
lttioo'z - u,,.WO=.\
t^o SZ'l = *WO='rl
)tPli -
qBl-
r!t.o,, euo"J
auoal BAoJqoI I
:eurapepo rya.6 7
8I'9'rqo
rv11) rt!\-- -
\(HVr) tl^
0zr
I08'0
v
8 t 9 rqo z^ ',C1cgef 1r;o; oupeus .{Jeualeu o1qapl o:d gsou,rad Juool n I eruqzr;u Sopfdeu noulrno;
'?Jrlo6 olp SZ'l = d\ peld rsopldeu nouap ord e7 'aur1lrn gsoupadzaq gtuetcgeo{ q.el^ u4nuu olod
t''=#=ff="lear\t ozr = lozr-l = I' r]-- ," o
n,=# =ff=",[ean] OS = Lo = Pu oTI4.
:,,rxuo,, g.roe1 arn1sn12 (q
L tsoN{sd v tsoNznad
-zgt-
',{-luerualqo:d o191 as qcyorfelf .gl^lsv rpguuou qcficuaure,l 'pode rqmlod 'qopeu qc{,ro:p1t qorzlluu qoptsoulad Ud eugutfez a{uenp^nod .p?duu (}ueJoupoq)ecezr:o8a1er1 Aunnfzcu ,qsou,rad ru-pnoznsod I drusud g^4qEz as ,{ar1,r rur{urf e Usg?nos }uezo{lod Bun?deu otqcll nrpod un'e'roznsotr .(6 nloldel zr,r .?rugaurl oua?olzoj) nqfqo po 9lo1-uuuou ppdeu 7au,u1,r {urf 11u o?.lu (nqa po 'IdBu)
Fluslsuorl nze;Ed urgu?Hd ur91ec od af graq .Jlgduu or{?^op, rulou^rln us??nos nrazo:1;od ell lllpod pufels as F?d"u ?p?u>J ev, eT.q^yz ?u etulan{l :qrupuzod
( t S qeD lr41od qcrfef r tfepr] nulupeplgz as qsourrad ruoal qce;^ tu nqet ?upa^n lsoupeglegd or4
rlselqo suelo^op ̂ J?01 lsoptdBu olBl Bpz .le^opals
B lsolefd8u nosoeoh nouraln{s U?d?u rlclu^elq ycoruod lseu,{,r qclu op e lllsaqez e;npoupafqcapcdUd qc,{,rai1qu ,r euraz-nu (,{r_ep .dsa.r) Xqcold orlf (^r_e .dser) ,{r{.old (?uelo^op r?) Fzaur,taoq8reg ofn relspaqd qsou^ed ruogl qc,{,rqloupaf qrc:oz^ qcAcqsuaFur eqopod glcr4euroag .3
'qPn r? nwl ^ AI$ovesooupef ?pell_pz Eu ourral^^ o1,{q g:eq tup?d?u ur^ualo^op s ou_e,rguaorod {ed of F?deu ololE Fro looruod nosooupof lsotefdeu eu ,{qo1e[ lsorfdeu nosoacn Jpg,rald ecelnuuoy plcuslllateW .l
:,(qopod 2rrp gru rgoet z gp&N
{n rz1s ruelqa;x r) aylap t1pa1ouo:d rlsou,rad elr{aq n^pts ruruzaur eu E (n^els ul?ul_B^l e^) ?rrru^a|no,! ttlgya|ow ord gsorqrudnle$ urrueur eu ,{uezopz nosl lanurpod qortzo,rord qJ}uprrrlou uz }c{n-Bsuol qc;gqnpoupeflrelozuaurp o:d rumpolaur ruq{'e, z-nod al_qs nosf lsoqcnpoupef rfols ord 1eq,re
.;prelsfau
,crruorsrrr ccrs nosf anq'psouaad (ft?todtttD ayoat ^4 rprqord arusf qlpuqorpod .eutrunzoJ ,{^ers;uzeur ueurlod pod oc 'ury s rlturyuzas pugn-gs amod ss ausf a1olrde1 r:;'61l L ,pez.rlvz qc{urypodsoqe q:{uqadzaq nia^oqr su slhglurpod lc ntsuo)l ltl?ts q5lzour ,{:peiuelqotd $oprz prqo(l
.t?^928'g
'7 = ary usouledzaq tuetrgao{ !$?ru rpfA;. orqVnt4az ,&d"yg poq ;w1daloal ogl emod pBnod Ud e? 'rz-l ,,,ran o,, ouoel ru-B? Izeur owtut Tl cf 6 oW pog :qwpuzol
XYa;=5<
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t9l
r'9 'qtrI prtqqtd
, tsoNt3d v tsoNTnad
-r9l-' brbl Dlnolqo n)[l?P
t{.ru rroulod ll-auqppff^ .aru}?rpqo (oczuuoJep) ,, uroso4z e (,rnsod Eucaqo) dp ;u""iir4, *rp1n ,r"*rptz,1 ,/ laqn o rsoTz es OCV laqil f,,vfi e ,y,{qo1od op aunsod y poq as uolqd .(7.4.rqo uu gqosI?tr^ t,O e y6 nlsrded lue?oteu zr^) dp laqg ;rugtuaurela o ,lnor? rrU njreutolx o4rpnoq mo{ur?nas le?.p^ Iul_?lueuralg .(gg n1;r,rod e O,O e JO
.{d?u .,(Isrded luprpel llJep ??l lsgrr sz1 ,{lcr8opue)
VO nl?esn nq2ap,r oqg1nurf,{,r nqc.nod eu e ?,O e VO ,esrded ;urerper ernapel al eu s (ruU{?ruurauestalz a^ Z !'Jqo zl^) ls_?? oqal d n:gruolod o urazal uqirocpl xp nluauele z erueurf,{rq
z'L.lqot'LTqo
ltqo,roqrl ord noqX,r {Bd xp eqlon .eqp gpr:rr ?u?euolou ?gl Ied ef n1ueuro{.u orl}Jpnoq ?u?urz)xp ?JEur ?u?euo{eu nzel usouappz^ az 11frh uqag of lxazel.nld ur{uugruord s Flnld n oqetn-,(x)ywnqoqrud oqe^rlu?uord n 1e;,re ? nou?euo{ !za{ olqr?l lsoueppz^ xl{f quauroru owopno.r{ nq?q{|ldoqruluplsuo{ n lrlo^ ezl 1lrud ruecnorl gd nuaceuuo;ap e A,rnsod zeur Bqe1z^ Fr_e^ope!^
ud .}u?rueuas ru'u rzeul lsouelspz^ e etruhol 1fe,lgtsr.rz urolgd.rcolood aznod w'lez*eu as 1rs ctfo^p JllqosBdpo eutppz^ ?u?atelsop nosfe:a11 '(1
4 .:qo) nrrud eso I eulol ,4zel Jupesnos aqo^oqrt B^p a7.,tpz_opruoze4n:d urr{,loqnrryzaur e ur.,itoqnrl s rgn:d qc,{urHd ruacno-q ud gupp-e,ro:d flueuruodxg
lurarBuroJep 3 I^nsod lp',ew iqerz|l,I.L
Iq8lz^ qc,tllpBl4gz,tuozo^po I.l
'qcf1nur,'r quspt urz-nrd qcf,rocp,r la?od4^ Du i(u_€^o1qde app nopnq Aqqz^ o1{J .nEreua pleuuo;epo:d 'tuacnorl qd urud loeruo.Iap o:d .r ppdeu oq9,ro1,{urs 1so41o,r ord ,{qef^ }uD€pl,Bz eu4po^po
'q?deu ?^ol,{rus uef .ouazo,rpo eJep epnq {st SIrrE^ nlrud ,1
.uqiroqnqzaru
oqeu trr4^oqnq urazalEd s An:d ord uaf peld e ,{uazo,rpo nosf K4,tgz ?uepe^n apq'(l', rqo zI^) ntrud eso
)t qc4urlo)t qcgulro: ,r ln:d eu rqosld ?ef ,(,quoruoru nrncpnoq) [s rur*rrfo,rp ueload,r of ,urud ln')
nzflu0ud oHq^oHnur ornud rnu)r.,
( I t rqo) (oq?uu?uord r oqnsuelsuo>1) yrv q?qBrd
nz] a Q a d o H J ̂o H n aydlnaJIn ur.z
-991-€'4 'rqo
'(ougulds nlgo:d oqa,roqnq n efToc) filgel rgurs nzaln:d ns.&qo eu lrru ysnru rlpdeu a^ol,{urs (Z
qc,{.,ioso qoeze: ,r
i(9 1 rqo zn)
It?dgu a^ol^rus 5uo?n+s ??l rqosr;d qcaza; q34u?!ld ̂ qolclqosBd, ?uto-rx (l
:e,r,{1d,(,r (tr nlolrde{ zr,r) qcugduu qc{,ro1,{urs qcfuemros o euolez a7'(rulgurx?ur
ll?deu e[ t = d ord trzalud oqe^oqnq npo^qo "u ? ?^olnu
n ) nrrud ,{so po d qsouelepz^ es ?ur?um gls4rEu ll?deu ?^o1,{urs e7'afn;pe[,{a 7oc
ueld 3?Pl ?lrr€lsuo{ ,{pal of
72r[ L'4ulats nrrud ecl?p ola3 od ruacnor{z laqn 4u?urod ?rufep a[
'l L rqo ?u ou3?Er.zBu af 1e[
'ualuaurou ulrcpno-Dl lffiLqu?lsuo1 ,{ueqeureu nze$-td oq?lgls lrud oJd
\i L)d.6.9= t
tesd q,re.rdn od aruaT4ur '(t D nt|.c sory ez uas ll-oulp?so6
{lesd eq.tl ,uau,{*apu,) 9 = /7
qelzn uapaf aznod 1u1e1dn es Buo{az B^oIooH oqgua{llzor "
e 1,futs ,(1sotd o ,{po1 apf 'l utasolz ur;upaf eualpetf,r guld ef nln:d a3suloJep ?pe^?uod
,ruernoq r.rd nlnrd lfsoluldBu ;uegp.eJi(n 7.1.1
uqdeu sf nlud eso
\qa L)
(ez t)
( r'r.)
d.c=J
c=f.9
rue^l a^ ?gt lssdsz atue?Bur ?oc
tuecnonfz nlql eu qsolsr^gz ̂ sov gp-B[,/{^ es lqslz^ noqo ;uguao.rod 7xp.I =,gTdse:' dtpd:,yy
"or1a 3fr 'dsa:'g.yy n4.nqeqtfo! z
',{110p oqaf nltoup af eu fiud. tua:tno,tt7z pqn f,uqwod e[n;pef.{,r f;=
e "r,
5.d -,{
!a=t op
L tsoN4sd v tsoNznad "-'
'991-c'4 'rqo
'(ouqulds nlgo;d oqe,roqnrl n af7oc) fu2e1:qrus nzap-rd nsA:qo eu tlur Ismu r1?deu 9,ro1,{urg (3
:(t , rqo zr^)
q:,{.roso qcazer ,r pqdeu a,ro1,{urs aua?ups ?.1 rqosgd qceza; qc{upHd ,r qcrcyqosgd , ?woly (l
:eM1d,(,r (p n1o1rdu1 zr,r) qeppduu qc,{,ro1,{urs qc{ueTnrps o euolez e7'(luprulr"ul u?deu ef ',, = d o:d 'nzam:d oqa^oqruI npo^qo eu s elolnu
u?deu ef rurud eso 1) run:d,{so po d nsouol_€pz^ os ?rrJ?um gts1reu p?deu 9no1,4urs a7'afn4pe[,& 4oc
gz L)
\2Z L)
ueld s?p1 Uuelsuo{ xpel af
7'.r4L'4ulals rurud acl?p 91ec od yua:non;z leqn {rugurod prulap ef
't / Jqo su oua?erz?u e[ 1z[
'ur:lueurour urlapnoq uqqu"lsuol .,{ueqgumu nzom:d oqspls 1rud o:4
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tgsd q,re.rdn od eua4ru '(1 1) ze.rX.r soy ez uras tl-arulpeso(l
olrzsd eqa4 rueu,{xrpur) : = I
.2
qe1z,r uapaf aznod rulzldn as Buolgz BAo{ooH oqeuarllzol "
e q,(uts ,fisottl o ,{pa1 apf 'l uasolz tulupef eua;pglfn puld ef nlnrd ereurloJap ?pe^?uod
luernoJ)l !{d ntnrd llsotsfdBu ;ua;p.ef,(r1 3.1.4
u l)
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"uf1a 3,[ dsor AV,D/ ruilr{eqqlo-l Z
d.j=2
c=f.9
L tsoNASd v tsoNznad "-'
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rue^t e^ xp $lep rujsJuouelo eu a-o,t ruacnoryz yeqn llJeluatuele
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tN= '
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a ppow ddozaln.td aumr,\nu noratl 'rrl nur211a,r aurefnu1;ap (e g L) e (9'f) Bq?E^ rx]u-€n orod
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dr luarnorlz uralqg s 114 ueluaurour u,rJllnorl rzau lsolsll.Bz .t.I.l
'(l I 9) nqelz^ rce;11de ud)
tlloo = ot eunqtpcp e (o: =,t
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- e Fo : ot '^^o.sa{ auoel lfnod qpdf,r otruot rld aunsnu o? ua'l_?uapur,t?u aTnoq;fnpeq{,t 1,4ursuu quTg,ra;d grler1_Eureu usz?nos'ouepa^n a1o1rde1 9,r o1,{q ry1 oo q?l eu ruuq_pureu oq?ualo^op z
oz {,{ttts eu tucqaureu oqouelo^op ntqoddr 1:[r?nX,l usou,rad auoel as 7rq{u 'poro afnJmru es nlnr{ n
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lsols[dBu g.rg1o.l{a {EIt-qEl ot?rpl lsofBldzu noumlor o ap[ nrn.rq n :Upzol lup"sez apz e[ 1eE,re'(sz
Z zl^) {PIl - t{el ord nlutrupod lrlsou ed eururodqd 1nr1 o:d e4rryupod yrnsou,rad ?qgurrol
(s r)otttnut 1
lP^l 9ur ?{uJurpoo lqsou edx.aa\(x)vlylt (x)t,/fj t1';;1q.{!eu
el (x)v1 e (x)vg llpod ap1 'eq,{t nze4qr:d.x nqolod no,rolel fpTn pepu eqeg af'9uu9uro.rd eq,{r 19podfl.{q noqour fuauorx rJunoq mlrqqtez r apft rpurg-rd e4'\-ew1q;.e^n (1fl?,rfau ,tp7,r nzal urguup I af
a:ai1) ag.{t ?uarno-Dl nza;n-rd npo,rqo u4;Jpu,r eu Uqduu 9,ro1fius ((eg' D q,t) afngm (toupoq qcrggp z
lualrpzo|dsa: 'uralpnos 1e1srz ,{pa1 laf azlau - noloupoq ru1_e.l8e1u Jueu {:aq) x44 nloqurls urTnog
E?l $sdez e4 f,'zr-rf^ otAL
L tsoNASd v tsoNznad
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0l
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(ot L)
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= ̂plvz
0
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(a/p :, Iuezesop Ud) .dser
A?IBI
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(v)
vP'rdl =4,
nr";EO ,u",r,o* 41'"uBJpB^I rurelod ord puraqo peld ecrlnjap elpod
zalg.rd ,.(,roqnry
nze{Trd oqg^oqnr{lzour B oq?^oq -nrl luarnorl ^ Inpou {.roze;4.rd B luauoru atrlc;1e.rpu,,$1 ryig1oa 7.1
'louls olqr?l 1Jp {qrup te,rgupafod epnq npuel?u nmpl zeur }rrfn?EDlatrdtsotefdeu rcrfe,r91o,rX,r lo{rulsuol lu_Erl-Eureu e nzep:d oqe^oqnqeu Btn:d nJnq ec4eureJqordo Oz > x.url lt) ?uo{ez e^or{ooH llsorqgld qrlzou ^ rlsolefdeu ud e ,{ze;Brd ?^oqnrrllzau e eAoqnq ord uef rreld I / rr^erspo ̂ auazolpo Juacnorrz 1aq1 e ppduu ord,{qe1z1 :Drwguzod
'parnolp laqn fuelo^op efdd ep{
06>6
araPHr{ rlsoqru nrnurpod p,rougop au.ra74u ecrmuood Fqsou ad ,crcrgoFuv
(q6'4) (x)ar""' t'*P (,frJ ;=6
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F6.L) ,"r'g .L I._t*_=o
Iu*Jno-Dfzleqr,r epnq '{1_er
I ac19p ?u?^o?s^n od at xyy e za;pd l$uBlsuol trud fuerunoryz gur pDlod
nauQud oHj oHnaWNZTNn
llsld fPtf.nzoflld ps_4
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-'l
d^ = YlnI
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It?deu orlluBrulxeur rualpefX,r 1(oua?a{ Eloqs o1,{q 1el; e,rr7n as {ra1q 'ruacnoq.r pporu {,,rozo;n:6
BS'1, 'rqo
(tI t)
(sr r)
\at L)
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l,(fl-,1#"*,l,H,)#
= G, -,o) + = Pdr - dd r = urquTrlqqd oqau
(9 t rqo zr,r) oqr;uatu nqnq prf ? oql-sl?^ nqnq odf y;pzo: o4ef df FILD zeu luaruoru flcqerpu,rl
Ju:_z1od aruauelsop '(ErSatuD ta?nos oryl ue^otrUep tuauroru dlcqerpenl pr91od af Tpenguol
za.rnrd i(,roqnl1pa14
'[6ururl dsar '[6u] af Juscnor4 ,r nFporx oqg^ozalpd rpuzog
f.. -;-'/!12P
prqrqqd e
9rp,p-
=zV-='lA
peld ryecnoq ,r Jnpour {,roze1rud or4
L tsoNAJd v tsoNTnad
-09t-
er8raue ru?euuoJep b/ nzalgd o e , ^r{nolp ln.rd old af usolsr,rgz qc{uape^n ,uaz€sop od
xp.Vp= Ap
df
d.t^= t
.:.2'4' '4'nojJ=,tp.'yJ=n
af orfreuo p2euuo.;op g^o{lec B
u'3= " z'
(Z slollde{ zr^) rreld a€roua lu?BuuoJap ruolmq ord az-1e1'n1,{urs oqalso:d tsotefdeu nza;Ed oqg,roqnrl qrud ;uacnoq lrd 9ry2,r .ouapa^n olXq 71f ryf
,&1,r ,{,roueg1tllsu3 ece4rJde B nlnrl r;d ari.reue.tulcruroJeq e.t
(S'r) alp ap:l
qs't'rqo
(qsI r.)
(e9 r '1. )
s.zr.z.z=|=r^
s. J. a. z - s. J. tt.e. rJ = "r
?u?!lqgd a[ 9.t .rqo ep n{qrur nouu?lso{uel ord
f ,n', l.
l,[;J-,||i"*^pu4lqgd oqeu
- tgl''.nzdl auD4s
aupaf od n]nrd oso I qJ,{rulol qi?ur^or ,.. orfo^p qi^^olts qJr;f?u qcbrqosr.ld lnrd eu ryeaEr
le?nos fl), nll?p o rur,{ueppzn fe, Kzel rzeu x ?lslur ueucaqo A luautour l3lnoq !u+lu^ ' (x)vytt
(qs I r)
(e8l L)
rpeu nprfla;rn ?^orqoni ur?uapa^n A
df-ar'l'
xp (x)Ytu (x)'W ':o [:'t-t'6 ' --
I )
n-re,u a.r 1n-r1 ord J9r?a1ur ,lruuo;,1 eur,qoef,&
,rwg( x).u =
altWeJue??lzo rl-euepe^?z
'3 eiotrde:1 ,r ?lsrur urausp ̂ ^^nsod euepalq ord ur"rqelz,r fior8oJerm ei{:aq
t'wg 'r.e'"xe ,,i;we T;iwl =''-'^
''wg ,t-,, , ="4 ,t-t,fl9
z-e:{,r ruacnorrp laqg ord eurauelsop eie^uap ruJercred ruapa,,lo:d e (e91 1) nqer,r az n ez wazzsop oA
(q9t r)
qeE,r rurud oqaloqnrll ruarnoq gd rrSraue lupeuuoSap o:d gBId ' Irquctsuo1p aolgp eu nosf a1e 9
'y er1 ,{ur?rla^ ,{uqca;,r .{p1 'pedHd or4 'auuqruord I ec19p od 791 q{q noqou tua{uaruzuz umrqer?a1rn
ez ,{uesd r1-nosf 'Xurprla,r ot,t1 a? 'rfnlze"r4,tz (e gl'D nqBE^ a^ (x)a7 e (x)g '(x)xyy wapw6
\LI' L)
nqBE^ ez erxauelsop , nII?p o nurauappzl, nzel nruruptgpod nuraualo,rz rpnr / nzal o1oqo1
IuacnoDfz leqn {ed ltrU arrfo,rp u,rops 19lqua qrud oq?us^o.uTz lnzel urelsrl,r ll-lqosBd ep,{l guep
ruacnorfz nfqn ruo?m ofi [1pa thoun118gsn1l]F-n Iqoum ur?u (e9l a) al8loua ru?euuoJap lsoIBuZ'1ep e qa o:d n?:aua lupuuoJep u{ryinapef.&r (gg-gE 7) umqqz,r glcr8opue nost(q ?91 1) ,{zu-rr{4
\egl L)
or'g'zj:Jw = n
,e!+F;"1=nHp9ffrr as rurud oq?^orlml
pecnoq ud ar8:aua ruceru:o3:p E df luauour plcperpe,rl ;u:_u1od efn relspo;d 1e.6etur ppelso;
(vt ,"r'e'z"r' ,"r'g'z')"r'
vp.zd[.rp.,';oft" I=.e vp 1fi !l=,L tsoN4ld v tsoNznud
-z9r-'' luecnorlz leql eleln BdW r0t'8 = g n1,(urs e,r usou?rud Jnpou "dl,^l 9S =, af ecqn-g ^ p?deN 'txtxs'a noqls nufls eur ruur 0g l = p ru?u4ld ur,rupess I ruut 00EZ = , ecl?p o ?Iqn-D euu?lso{ueJ
.u.z pBPl,r{d
'tutu 8I I = p eu eunFlnoqoBz ru?uqrd nroupoq noqes!? .ott4urpod
F[soqnr lcltnpo{zor ef elapgq ru?ur.rud osolrlen nq1o,r ord aq ,au*1d $palsrr noqo u$;lrolod
lqu4 q'rt r =
arugpgf,ta :- = d 7 vz yaernsop od Toqqa 7,p. /
dn. noe =fi= o
mN (L'D nqetz^ ?pBpl.Ez ?u _Bur D[ryupod ;qsoqnl
o, - tP'z " "w'gl
#n='^orrH=,.*,
falnupoA ;rqsou^ad 7:!uaraa
'edhl 9Q I.8 = g ef n1_euepur n1,{us on gsou-rud lnpohl r -urur 901.S = odr luernoJ)p Jaqg fu:pruod a(uelo^op I ?dl l 0, = o, p?deu ?ualo op t1-ef 'unu51
e01.9'L = xr,ll luaurou rcpnorl ;ggue;d rtetl .elapHq oq?utd p rpru.n:d eyrouzlg.I.1 p8putd
'lupgf ^ (, aclap sq fe , ^z.t yaw , (x)yu, .dsar . (x)yw eqepef rur,freq .;cyng qlod gp;,rodpo{'arr trlgr'erur qcrglrp p10d {,ro4e1 eu aupedzor es (qsl./) .dsor .("gl.t) qqz.:nlwpuzod
7 ru gp o nE?uePpz-, ntsJul nuJJu?eE2od nugualolz r?B^ JueJno"Dp larB eulsDoFl ?Iu?u ^ tuud oq?uspf gts;ur ,r tu;c;qosgd trtelueluotu u4clrnoq u^^olloupef 4uelo^,{^ x ?lsJr.u ^ lueuou lcpnoq . . (x)ytu
eu,tld ?^erdg od E
opnq ;uazesop od
epl
t= t=--lt?P
nEHoadoHM
-e9!-'?dN
r0l.g = g 'Bdr\ 0g = or 'rllru
00t = c 'ruru 00€ = g
'urru 00t = e 'urxu.N
&l l=zvw 'urul.N
r0l E = tyw rl-}t'eg L.rqo elpod slapllq n v ltnu{le^rlo:rio txp rqosr.ld ?ur?u A ', oqaua?euzo nzaj lue?olood ?unj€leza e p l?u4ld lr?ln ef uelo{fl
't'1, p8puliI
'npsllHd umlfnpels_eu eu uell?^s^^ e nze;.n:d oq?^oqnll
+lmd luarnoq r--rd ue,ro11de e[ drusod flcrSoJeuy qolg qcfrgmau ,C]Juets lueFl dqsod e ,{pesgz
rupellez ,{uepa,rn,{1Xg nryp B nr{El ̂ qoepedlld qc,tlpmeu Acuers o ;crfe,rgupefod ayolrdel g en
,ruernor{ lid qr&llrneu ,{Iruuls qol4,tueleu t.4
l' sqt .99'6 l. sqt .99'6
d lue.norv nlqn eu d rRro)l^^ lsolshez notmpalq {elaurr?rpqo ^u^o.r ?qos auuTolod ,{qeu,r guelsrz oll?l e luaruour lcqnoq au!{pgl,{^ (e 6.) nm:[t e
ltuulN] ,r{ ruuauroru rur.unol]l e [r-urull u r{c9l??lo pu usolsr^?z A L,\\I] d uo)t& o:d nqev,r. a2
.:Jua$aa
elloplr-rl ^ ppdeu e,ro1.{urs r;;X,rlou ate>p1 ;r;gue;d
Iapgq Lt)tl d uol{^ &Ief eat\ r0l.g = g n1,{rus a,r qsor^mrd Inpohl .o6.0 = o1 1aq4 o urur 00€l =,
srlep a^s eu efncrrlz runuur Bz qcpl?plo 091 Ud ss (uru 001 - O:0,a = pl7) Iepgq ,4^ol$o &nC'c't pEpt!{d
Iror f et t/t\Ij 6fl =t t-i-/t.-.L,\p/ ) ,Q o
lperl .-or .9nr'r = 9'P =aI'a'z
,fu='*of'z
__ 7
p'Yw- -
euXld
" =J ,=r* "r'e'o)
urrreulo:od e urruepgf{,r oqal' x14 aurgnoy,ir cnr-,ro: noqo 7
dt'.ct'ds.ra: ',.- =d)
l'"w
neld 1 ppdzu dsar 'd parno-op 1aqr,r or4
:!uara{
'I4uslsuo)l 9p- plodpeld os Eqrur ?up1s 91ue1 ir r ppdep
L tsoNAsd v tsoNTnad
.(rc1ee: amod a'-urs ar'yrry o.urruz) "*,"JHJ:H'""";'il:ffiT#:t:#: ,,. lluaruotx qc{uepez ruaqos4d e,reunor,fu Tpe,rpuod .p^p)p yz - q9 a .rqo zr^ _ Juelal ureq?q (, ololldsl ^ ^lrs atr?meu ,{1cne1s o}pf ,{_1cr8opuu) atusfnTe,rn orrr1 lueutour 4ll?meu ̂I.qu1S :nlwpuzod
"r'e _,,n^
e.zvw
qctctfepgleu r.f lueuou qcl.unor{ rlrl u^lrlD l1;1ren
0=eYW_zx*_rxyy+wgy
Btueuroru .,{qs^ou^ol aolu ol supaf lesduu o4ur es lapgq fuzpez o.ld 7;pn1
'vgr -
, ffi=nnad)
g ='"ne 5 *''ra 6 _ oua 6 = a 75
ue^l e^ v/ pnmna^ I?!^ g za;rcrzodradns rcsdazo-r eruemru ru3ryupod o1n1
0 =ea
.[ .eJnu ua,ror olepgq Iu3snol{z laq} el ?g t rqo zl^ .g un'ns^ e^ 3z .usou?'tnls ;ua;pgf,tr epz at noluJurpod Ju?eurJoJec 'q9
r 'rqo z 'ww esrper gua?e'o g^grw - v lnura^ - ?qz'^ ?u?qseuod ^ o.ur$z sywu,luauroruurconorl ur.4lrc:neu Acuets aurrpe:qeu nqze^ nou?up-gspo e ouruloln lepgq g ?poq n .gt!?meuxrrcrrels noupaf af eqoln a4 'efnzr'rlod
?oc ',,n'rro^ aA sxw e Drru Aueruo.,, rul,{ure'zau ?ur?^p es
9Z'rqo(r(B
I
cq
p0l
ly
'6 = ely qu;urpod pptruolap e 6 = !3r3 ps,,{qgaou,ror rcruao: nupaf rJasdez .g9poq ,r ';deu
lr?ep^ rlnrlo^n ruoqe,{q a7 5''l € ,{lotld'I elp rl'^odn$od I ,J E g I11s 9,roso gueruouqclt,.lnoq otsrur ttp3^uz uroqcfq Toqqu n tq?aB^ nltretnlnFo^ ficrgopue a[ ;us;a1 dqso4
I
t^l h,l
:]uafaa
nEYead oHjAoHnuy 0W
-a
- 991-'Jg
t iqo rlp t?^olortuolr{d
aure?nu e5lnqel ̂ ,(uopo^n (x)vq q?q\ud '(v'Ddt ruacnoryz nlqrl oqausptp ?lsFr ^ oqaua?ollld
"r,, ntuauroul oqrcunoq oqa,roltoupaf n1s,{urs o^ ualolz 1,(q aclnqet ,r 1s,{urs ,{upery :olwguzod
,{-11nqet ;cltnpalseu z eru,rp?sop ?oq?u op'(q
8l l) Ntrrrs.\r e^ ptilanr mtqoyl aurafqn y unDla^ r?!^ L rza4 M-Dd tua?o]su or{F^q?leJ r.uo?m )'nracno:r1z nlqn rua,rouels.o:d p,roqapod aurapnq {:ot1
apr
zt [,un,'1 ,o'.t08'; : i_="f
luauour ,t1cr1erpe,r1 auralpod,{,r e ,utu 0€ I = p ev eurt ppoqoez 1epalsf1
oz.y Alurutl e'ort -'GnW.
g tlt < e
aura11od,4,r prup6
4n="^o 1. xtr1; rDtttx
119
,{ryurpod psou,lad z eurrp:n alaplr-q r?uqrd
[unu. P],61 .ss'a - lzY W - vY Wl= \Drux
W
g nlasn ^ nloupoq rqtq,rfau eur ? .9 1 .rqo eu af rqueuour oqrcunoq q?qqud
[unrr.p] .s1.sr.r -*. .W -#.zvw = evw +LvW-zvW =vvW
(ruEN 3^ (o'rll
vz ruazesop od) ,{qe,,rouaor acru,ro.r z auralpod,{rr noreDl (vv5l o{?er s frqolol ef g qasg A lueuol l
lo,u,. r..rt zor.s't, o " ;fi
- gjr, * = *W
luauour rcgno-o1 .&rcmau Aruets atulppqo p,radrl e ,&ppupod luqeuuo;ap op luozBsop od
(e0>(c0>(t :o)x aaatu
LLo(x)x.u
zYW-LYW+sxw-Lvw + sxll!-svw-(x)vw
v-zz- |I-Salod
L tsoNASd v tsoNznad
'99r-L'L'tqo
o-|oEEd\t'" \
ffia="^ e:rceuuoJep ? p?deu ord nqep,r
PaId) ottd IeqB o lr_B^oruTzepz 'eur!?p?^sald es arudfap
(e (q
no7.nx1y1=xyy
ez lueuou raunoq arullpBf n .(la?_uvz ulunupesop ur{uurafezrrutu?ale?od Ud 7rf ngdeu oqaualo^op auqesopeu Blqn4 gu?p?ur
:!uaraa
'I^ztmos ?uep luauroru ycunoq {ua1o^op ale ll .edl4l
r0I.g = oe .e44 99=oor 1a1e
ord tdl^l l't = ng tdlltr 0Z = rno, .ppur ord :nosffltrelsuol ?^opuarel4l lutu 092 =, noupo$ ̂{cpl"rdel[n?^n leqnl noqo ql?O 'q ?r./ rqo z] .?uplods fug,rocn-op ryd nosf ,{1qna gqo e,a,rolaco Xlqnlnwrvz eu norye, rez 1fo,rs FelBu ,91 = oi nJq4 laqesop oda4 tloelu not eftrnDp rf {.raq ,rru uralseuoutuncunoq euaTpe'z ef elqnl gu?p?l l .uru
€ = s Dllfnotl rfeur Eqrur ?qO .@x:t 7y * p nqurEd ru,n4run
o) Brtqu e^oloro 'luen zaq .0 .gqo,r euozeseu af tuur 7g = p urargu4:d u4lhu s ,J(F! gu?p?ru "N
s't pBpu{d
,,Sl ,Z * [pe4 n-Ot .B - (v-L)d
turcnol]Fleqq {ue,ropeTod epl,ir Jue1s19,{,r od (q6.f) nqqz,r ur;1qnod p,ro1o4uo1o;d oupeus oruaTBru rs {req
l*0.r,,,*-
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o o- ol,, w * n w -)i * xp. L. (Lv w + sv w -)i * rp o. (* w )T li r,' u = n-',,
e i -- '."1 t
eull1rpqo (qf l'r) op .{11nqe1 z loupoq uryrozvsoq
-z9!-
ru. N z'tzg > vr ldro ord 3 ur.N E,ggZ >yW .p?tu ord
:,{lutrrpod lulsou ed z ̂Aelsnos armp rrry tuotuout lcunoll rzeq.ift luals}?,{^ od
s l; i.o'Z = oYA ez\P /
",('-;) " z=MtA
ru?^l e^ (qSl L) nqBE^ oqeua$poupefz az,{ue1qcd,{a nosf1aqnl ruecnoq I flnporu g^ozef"ud
oor=o'M-o, --orw
otr.oe_-_ -__ -! tnd f. ltcr ' t
,' " =o'* E
-i rg'd'-vw
e Ho j =T! =,, -'nxhr-
usou,rad Alururpod rc,toglds rsnur glell lsolefdzu qcrfafeJgp e
ndr. ne_+Joa^ o^ 't
r,"9= uvn'"|
5'a*'wrurulqrut rur,{,rrpoupaf qc{ue;-euald nlueurour qJ}rltnoq
,{oupoq gudnlsod ar.url:n (l) A-lururpod ru?BuuoJep gua,re.rdn e ^qenou^ol erlulol rc?ulquro)
\/)
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-r[- p)-"
re,tl (eS I l) nze ,r ap rleru ,4Tts!:a11ereqo elJr.leuroe8 ep{
o"r'oc _'"r.no _ ̂
l.oy w l.nyw -"'
nots1o41a71 e,71 =(3 a) t ' nufi'l
\' -
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( d ;uamoraz npJn ;uoTesop _ud) acqnl ?u?p?ur ̂ F?dBu eu,(1d,{,r 4qap,r noqo uryreu orod
eufld gqer,r qcJuJelrz,! upr71
od)_ytd)=d)
rue^t a^ qL , :qo z g,{1dft z4ryupod ;u1euuo.;aq
nvw+ovw=yw
?rPnt 'a??ryz lsB? .sau qqn-rl gp?q a?
'atnlpef ^ Aqunou,ror eoru^o1 .tuxlr?mau Xqcqels pedgd as e^Bls tlololaoo nlqn-O o lu.rgdo nop;rgrnznols eusod ru.{u as qoe,reuod e $^oq?Bz elgp nlqn! nou?p?rx azl e4 g^Ald ^ qpelsfa oloqot Z
'(q.eu_Brper ,r. ouezxop o1,{q al ez? (q "SI.L) qqn-q nolual o_rd gqeg,r qc,{q11gqde1p ,{uepm ,{1,(q ,{lusFetryrcqr a{cr4euroag) .;lpdeu aualo,r.op ?ou ,iuau p_zqc,& 7pn1 9:al:1
L tsoNASd V J-SONT?Ad
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noso l3rfezer{Jold ?ur,rol ̂) lugrl-pureu oqaf euq?m .Xut_.zrud qrcuol po fual_vpz,r ?n?e1e$op zalpdeu nzar ,{polau ;ce41dy .e.roqno.rs e,r_,{zuu ??l as em?rud g^o{BJ .g.1, .lqo Bu ouar^*rueu el ryl
,lnolls eu?qeuleu ?^oso ef Elatl p nza1rud oq?^oqnrT ru-eJp z notnuhs nurz-ud no^oclB^ sufnTerrn
u!?nrd qr4lnu!^ ?us?l qr4^orlg^ !ugqFEBN I.S.L
fu;7n.rd ?lnut^ ?us?f ?^orlg1 S.t
'C ̂lollde)t olp elllal os ̂q glaq tols no^oso rlj4uer^?lt (FIap Bupotaf 4qcru z) :1eqnl qc{ua7o1,r cqas op no^p p,telsnos ficrioJerre ef pe11gd {uepa,rn :o!ru?uzod
'olo I ?ou tFDur noq,{qc s ppep,{,r {qeuol _e 9p ((q rSI.t) rTjpqz^ qcduefnpoupekelu gJr'z^oW)Ffi4t,
{uape'm o4 lusuaqenqc qc(tcrqauroaS F?odA ord (91 1) e (g1 1) r,rqqz r{ca{user^d urpu-n e6 eryp? se^rd
ut.N€'992 =YWlue[olu ,cgnonl
4upats4.t aseua;d fpal e^Blsnos s ,t{qnl ?u?ppru lsou,rad ef 1c;fnpoqzor e7 .auf1d glpalsfl 7
nnH1ad oH)AoHnay otnud tnay 2
kL)
'691'
{ t t', "=t'x='j
h""
ZY DsoJ-_= N
(oDuts-_= W
Dsor.J = J
Duts.J = N
qslz^ lp9^n eruerelrl Dlcruqrel
,, o{pf oue?Bvc
6, rqo eu af erell 'n1erp nzalmd gue4s ;u$ru^ eu af {urTnrd ppdeu yp1g,rfeu a7 ';ugqrfz a1 egair
dntsod otuel 1{rus a |nr1 .ft 'XqTnrd rrryq-Burgu ?rrg^ourquol ls^o?B^n ?lpru e ,turTnrd qr,rgu tlusa^idzgunu fplqu el'01 > plq Tqclfaf'ur?n:d n ouepe^n erorls ol^q {ef 1pl &?oq{^ tqpg,ro:d psousa;ci
nou?aplsop s azl ?IpnJ B'qpullodpo;d qcfuepe.rn po lrlHd IlJIeu as urzn:d qc{upqur,{,r tW? gu?euz
\tz L)oJ>*"'j
ecu,mrpod Jrnsou,red rc,ro,roq'il l?do rsnu ngdu51
"p -.J.C7=7
o -'-rw,r1 urerqqqqd ,r oqeu
9I
(q 02.r.)
(8 0z L)
F?deu lol t?^glo^,{^
lueruour rrunorl emod IEAoT?^n e J = ! ngs no,r.or1,{rus ?gl luqpeurz ntgJp oq?{uol z urz.1:d
q3&nur^ ?us?l n azl olord tnq eu Aurz,n:d lugq-urrreu ?1,p^ Cle ruourel Bu e1o,r,{,n g elrs gpu 7ri 4ed'01 < plo a?Pt 'oqa{uel ?u^ueler (p ru?ulpd o) ru-Brp z Eueqor.{^ (g ruqur;:d o) euTn:d app tpal
\6t L)
luotxou rsqnoq e 1 = -1 e[s g,ro1,{urs smod euelsnz e leqpawz ollu e N xlurgn a,r.o1rs ,{pal az1
| = DsoCe 0 x puts
?qf lqHd nuld '{Jeru nu1a,,r af .{ur7n:d gr,re'z
ttrednols z laqrj a? trzt '?us?l elnul^ eurz-n:d 14,r rl-ef ?lr?ols rutla,r ef XurTn:d Fr_ErlgurBu e7 'au,{1d
ruoqzor oqauepe^otd 7 g 2 rqo zr^ - ,{ur?n:d Unun ruednols Jeqq geuz qtazz$'r otqc?l ̂ r? leqfl
tn-r1 eu rcrfeq_eureu s)t?oJs t
qfqo uu ycyfeqgureu el?ols €
1{urs uu ;cyfzq_euruu Bryols Z
ryp uu ;clfeqgureu sl?ols 'l
'tugq_?ureu ,{qnrp rupe11uz oryf perqoz g1u1pg qc{iroJrs otqcpt ,tryols as opl tugrp oso I ru?tus oq?u?el
e oq?urlol op $gJp oso I eu?al ?ur^ol ̂ aurJ?olzoJ nzol ruerrelopenn LQurpg 9,rops e,rp ot{1
L tsoNAad v $oNTnad
'olr -zt
tp'9!.to.zr.t !.o.2.
,(fa)
=n
euraue6op pudn5od (g7.4) op ;uozesopod 'r"ur^g2z qc,{uurq lapod lQern t e e.rrqru{ ruepo^qo ?,.gltqHd euezzrr{Bu qr^Vz e][pp et nq4z^ur?uope^n A Tl!^92 qc{uurp 1e19p tlaqospa_! ofel ttHpCff^ awst yga = 1 furaud nlgrp n)ll?C
rcz L)or'e zTln T= n
qer,r fic18opuyrua1p9f,{,r o16
._ - 6.7
- ,F'' - "
rcerSalur od aurarmtsop .rulu?lsuol p nlgrp rgrugd olefpufels ,rry ef?o{rlaf .fufrud nty\gz ̂I19pluaufala r??rz sp apl 'nur?rud noloclel o:d r 117rod I.S./ ac^etspo e1p qclua$poupo fz 4d eusa4gut
df..r(t.t ,"p --;iJ
i=n(E9l D qeq^ ueld nze;"rud oqo^oqn-q r,Urud nfru{ _.ud arSraua Ju?euuoJep
lg =rAne
grall alpod 'nt?,r n.rouuniusB3 !u^Jd aurafrTnod furqn:d acuuuoyap n1pod,{,r ;1furTnrd ?lnu!^ ?us?l ?^oJlg^ eJBruroJeC Z.S.l
, trtlullnos _ I.4 .q8J
., rusdnols ue1q4 {uep h1e1t e nq,(qo ,11,,r! qrq$'plg urer?ulod ,{'ep .n1,{urs ,rr1,r uafeu pqos ,r efnurqe-z .1.4 ellnqq pgnn {:aq b/ Istrm?nos
nzzH Qud oHjAoHnat llnuewl
tp' x
. ULl,.outeuelsop ?,{eldn B cruAol noqo z J !ua?nol,{^ od
_\n,,, 1 E !=iJ
IIBId'r qqdeu e r{ roeuuo.;ap o:d qeP,r eurapfzu a,r:dfa11
:!u2r2u
Q't'8
'g Aurqnsd, auaTgezeu n AYIgz vaut
rl+1A e., r.rlr^sz 1a2od ?1nur.ts eurTnrd fq lsnur ?oq?u z'p uvtp:qurEd ataq:1 PdN r0l'8 = 9 n1'{urs
al lsorqrud Inpoul 'tuul
08 = O nll^ez :qug:d rupag5 rrul 0S = r{ o1'{q glr'rez qca;'t pnupasop qd
rue?clls g^ollac E r-trur.N 67 = ry elAq usoqnl eluelsuol rlaf Aqe '1et nut4n:d noloqno:; al?uql^eN
9'l PePl!{,I
auTour af ' fe ,{urz-n:d e,ro19:tds
.{so aurgd gupo,rr;d tuapoqdl 1
Gz L)
a{nlujstrl ̂ lJt?u
'Xurz-n:d a,rolez-n1 nosf olef 'ur7n:d qc,{rnur,r gdfl qcXrnf ;ue;ag 'g
',,(ue$s op XurTn:d
'ft'.{tylqets ;faf grg,nz a1 t;fop a4ur fqTn:d eqnolp p-u.topeps q; ;
{["
tP'9 - oi!'&'J'8
(9\.r.n) o-' +n -sor. (o\.0'o*,\ "'l'.ot=t
,\o)'"")nrurs '
z\P)" I IIteuroJap oro
1ge1d apnq 'l S l tr^elspo ̂ guepa^n Xurz-n-rd n .{,1urpn e,tolrs ;ugru,r .{uqca;'n Aue'ro7z'rn tl-nosf 'l
:,QruPuzo,1
(sa /)! p'8 _14,P'9
XurTn:d usoqru ntuetsuol eugpglAa r.lqerz^ q.lupalsod noqo tueu,lo:od 7
\.,=tiI-
resdez ((9 1 7) nqep,r ,,t1cr8opue) l91az1zetS't olue1
,P.e.r=ttr!'eo'8
-
n:e,r1 e,t furTn:d Jue?elold epf^^ ,q?ir ,iroueq8nse3 1ce41du e
L tsoNASd v tsoNTnad
'J+'J=J
'zlr -0I'1,'rqo
rarln??Ez oueub{q lulgrurx?ur euterlelsop fqg1ou1opJru1or Z
fur4n.ld lqo'1$rpmeu ,(1crp1s noup:f ef ped;44
LZ pEFUId
:,tuaraY
^ , [u?dBu ??l er ou'ts ,ednl r't.g : 9 et Xupnrd ?qo ord .r'.u SZI = zegru e'r;ud ,JilH 0SI = ,O gul ?q?rud ;;fgur1 .urur
0l =p o nt_erp o{?ufols ez,{uepols nosf e urE 0ZI = o, n{?p node$ 'L : / Brr'r9z re?od {ufo1s ;feur '{u-qrud gq6 'ultu | : e hu^ez zeru oL,* p6ef eJesqrz ;returo,op od ,(qe 'IBl 0, eslep ?uJo^ o ?qo .01.1. .rqo ap fuzn:d g,rp tr Zpez lnlzowef 7ru1f .ousura;g
nn^teu ele?rn
luru4 l'sr ! I-8sz's =4=,
0riuraq"tzl euo?rn ,pd efAlagz Feu oF.rA
trlssz.e _rl .eo-8 _,
'tr'e'Bll^Ez q.4qnu lo?od lup-Bf,^ orqour afacruaor ol?t z s
!- ,o.gi'e
='taf1 fuqn:d qsoqnl sltplsuo)
turure.l "&|=o
nziuQadoM
tP'Lt "/lA
tedl\, t'.0r = ZOZA = ZrW = " 1
,P'r t'lvllsdhil 0'lt = ,eJ+g= ,yW='1
!' "'o'g ! "to gtNl 8os !
7. p.g+7. ,p-e = J
rneld ryd opnq J ououelq ord
t znp .rr- " =/.zy=zq
a'rP'9
!'.te'g -;- = 4. 'y = 'Jtt.rp.9
qJeJB^t a^ rp:n as 'guafodez gulaJered ',tur7n:d glrpoupaford gusnd;;d {1;g
[uur] pp =e-64-ozt = e.(/ - t)- p. t - 0t = t
aq{,rfou ,,{1r,rgz rzeur olg Fr-B^oqJez
Hd 4q turs J nops lue?uez qd ur4n:d ecuuuo3ep e^o{loJ n11ac r urTn:d noqo ;uapeps 9ula1s e[qpe[,t
'elr'
ef ,{uqn:d 1up1ua ppdep
af .{uqn:d ypfpua pgdep
I tsoNASd v tsoNznad
I=zI=Liu>Julurpod ;ugeru.ro3a6
-vlr-uroq?E^ uB^ouuop {Bd et^ aso )t (,{^oso r_m^,2?u ^pI?\) nZalnrd,u?raou dWltDrpD^X
r(ezau4?erzozer(urgsoI urapal{z^ erlupernos z,oqal ,zp./(p = b/p luauele y nzaq.rud,{qco1d z eruautf,ir Z.g
.Jqo eJpod
z'8'rqoI'8'rqo
'z-,{ ?ur^ol ̂ nzalrud eul,ror ga1 2-,{-x ua1s,G {,rocrupqmos p^ougep I.g .lgo s ?poqs a^ ll_eurapng
nzaggrd flueuow .erlf,llBrpBAI ?^oso I.Z.g
Illslrall ErBqc q r4^oze{ r.ud ecr ugep rypvlY|.vz z. g
nzzuaad Aulwo1od lyJttwovLynzluQad tNswow lMQv,r'.so
nzJuQad AtNtwow lyctlwovLy HAoso)
:1e^,{zsu nopnq as ,{lpsusgereqc o 1'usollssl^
Jupupuz qcl laf ,{uezo,rpo e {lgsuatleruqc gnozo;g:d 9,rou ,(uepo,rrz i(pal nopnq qrlc^stspoqcrcrfnpals_eu I
'waqfqo uqqpuDu opnq lJusou {p1 .fqogr lu4a; nopnq qc91o1rde1 qolllep A
'ecqs uaDleJsqs ol?l -?uJ?utBourqd e1,{q 1ed ruacnorl ̂ tsoqn1 [ou] ap as eetn e ,rtalnrd ,uautow {t1c11o,tpottt1 lutplod g$nuas 3r3u t{ltsualIastl. s^ozelrud e1qx,r x14 ruelueluoul rulcunoq u4cllnz3vz B tuacnonF ruelqlzauI nq?p^ rrrclozolpo ud 'nzalrud (nlgd) npans po osolqapo IJImJ lur_eeurl nosf ap trza;Ed ur91ac^ Jutwlsuol uqdeu e,ro1,{urs noslau pf nza1rud oq?^oqnqlzau oqau oq?^orgul nrnq z qc_BqolB A
?ul?ul9 oury^d ngBsqo nrugupold o1nuo1e1{q ryd nzo4:d lsoqnr gupals,(A '[,tu] y fuegeu
.qusqo {u;o1d oqef lpqs olord e .;rquqsuol nzelrud
ur0lec ̂ e^oFll 'dser ?^ogpt lu_eqgursu ot^q qen s nqsl z qolg Juafol Ud qcglotlde{ qcpoqopa;d 1
po^n I'8
nzx{oud ̂>IrJ,srutrr>ryuwrJ f,-x Jrursruo fl I) .8
.I
nzsuQud AyusrustywvHg lyctut1wol, a
-glr-
(v)(v) (v) (.,r)G il 'r7!=tyrp.;z!
!='vn.r'rl t '- +zvp.zzzl +\p.r'z I =vn.rrt =^r
(r 8)
resd (7 9) dsar (1 3) alpod
eua?Bur 'uZ e uA "zZ e zi 'rZ e ,/ q.IJIUpB{nos o uyp " 'zvp'rvp tuaurale,{qco1d lqup olgt ?p?e)tz r1-euraurf,(a e,V'" 'zV'ruf lulutlJold tuII?lJp Puelo^l y nza;.rud eqcold g g rqo alpod r1-apng
'?u:_?rz,tr tsFdDpreq: 9,roze;nrd lfeu g:aq !co1d qcy;;npoupaf qc;11p IIoI?u ?u trl?pzor
azl nqcold lqcrfaf'r;1gord qc,tr7o1s rueqal r;d eue.ngnf,r nopoq,& s epnq graDl lsoqs?l^ o es gupef
tsou^!tlpv I'e'8
rl!lslreflBrBqc qrf^oze{Brd glsoulsqn g'g
'[ru] otyg g,retsnos ,,r af nza1n:d ruquolod orl?rtcqerps^I r?u.zo1 :olupuzod
(t 8)'dsar
ureqeu,l tuoef.,h azl lsollla^ orpl nza44,td ,t2tuo1od {tltpotpnq af uaqesqo uq{uqo1d
oqaf e nze4.rud uraluauou uq(.{3qerps^I ur,tloso rzau q"E^ ofn{psf,fu gletl trou?tle^ notfz^elBq
nzagr;rd .rgruolod f1t11erpu,ry'9.1.9
roupoq qc{urodgz r 1e.$qeu noqou 2 Ie1 / {?f e?olord'eu:odez r ^pel B 'U3 ue 4q "qr]- ruuaurour qc{:1cuerpe,r1 qrf,roso po lrpzor su ep '[ou] elet
lS ?^Blsnos A ntuauroru oqJu?Br^ep J?urzor aurg^elsop (E'8) nqsp^ noz{Jeue nololeurzo1 :nlulpuzod
(9 8,
(v)?-
VP'Z'Il =uO
17 3 ,qo "poa; geld nzagptd uauota luQD!^ap ord
nza;g.rd luaurou !uls!^aq Z'Z'8
'0?f dsa: 6 q,tp $q ysnur 0 < Vp Hd Tel e '0 ?. z dsarg<,rf afz dsa:r{ euqca;,r o:d e4
?^41d,{^ (a g) e (1 9) gquz,r az aJeq [rur] af IS laroupof ?,ru1snos ,r nzoln:d ntu uour oq?Irqerp?^{
orf?^oso r?uzor lwepJ,sz 6? 9^4ldl'^ (Z S) 'dser (1 3) $qs|z^ ̂z4pue ?^or?lrlzol Z :Dluguzod
(z 8)(Y)
VP'-rtl ='f ., z )
utrrerpplzl z aso I nza4ptd tuauou {4tpntpoay Atoso lerou;ap az1 ,(1cr8opue e
lvl
vP'rz[ =^7
L tsoN/.sd v tsoNznad
-glr-
eur_P^glsoP ,t2_ = rze9p e zI = Ii ll?ld qwtagz zyp e ryp Auaurela ord ap1 ,(4.g) qez,r q_aurafr7no6 .gufals nosl uso{qa^7r1c{a( zg, e ,V ps_p? ?^p ?u euel?pzol y eqcold et ruolo4 .,{ eso nza4n:d ar4aur,{s noso sf .1qcs51
.tr.g .:qo alpod fze{op oupeus ap ;uea l olol
.tso qqntp nrlolod Du npallo taq aqu ua^ot ,uaraow lupt!^ap a{ ,!rd.(rup1gzp1 pzgqcord?Tet ,(pel snw\ nzagntd au1au,$ noso luoulour Ju?El^ap eualn rouels ur&aq eI ,so z oupal yal
lulpltua) e,rxnu aso olel { lueuorx Acrlu.rpu,{1a,roza:n.td eurafn,rouets u&al{ al .so qc4urto{
(/ s)
' nzal pr d Nauora {qrltDrpD^rlas qed '(a) nza;4:d rupl;r7gt ,,$lusuel1ersq3
utelezneu ecrfo,lp z BleDl?u rl-Jz_pqJoJd
so qJI^oJrups{nos Bqolod z.e.g
'!tslr? [utlDs^^ otd tugso utdupotlsary aznorl [p7d pnld n]ueutour oqtu?Br,rsp u qcficqerpe^I lsou Drpe e? .llrzergpz oqnu gotafepT
t=! tV)er'''^e!=yr.'r'Il
7=(\) 'Y) (v) (v) ='yrp "z'i! + ". +zvplzlij +\p.r7.t1 i =OO, )i' =^O
eur9^glsop (€.9) qep,r ord r nqa,rr; nouqopqo q-ounpe,rord y
(ss)''rft=vp,,iT' 3=ror,,;l' * *,r0,,fi' *yp.;,t'o1' =vn.,1i' =.r
f'8 'rqo
'dsar
nzluoadAytJ_sw
q-rz=,2
. LL'.
e g- ti=,fi
Aqeu,,r lcyfnpalseu peld yp ruuauralanulerqolol nqcJte;n1sqd,z B,r{ uraorup?Fos nu.{.rou e rz e t^ ruroclupe{nos runupo,rqd rza11
'S g rqo zt^ ,z-,{ o:pf {uslerzo ur9ls,{s ,{,rocrupe4nos ,{,rou aur_e,rglsop ,g .dso: e ,{loupoq
o '(I=O) nzalEd qqrqpl ,r 1e1e1 latelod Voqaf 'z-A rugtsfs ,{,rocrupelnos rupo,r.nd rl-aueunsod
(olpa orctau1a7g'1 nu?ts,{s oq?^oJlupB{nos,llnunsod t.e.g
'nur?ls^s ura^oJrupegos qalruol ,r qc{ua?m ? e rf $uaurour r{3Aoqerpe^-l qc{,roso urepnos rufiso:C,{pa1 af nurols,{s oqa^ocupe{nos n{le?od )t uopal{z^ df nzo{"rud lueuoul AJuBJpB^{ Fuglod
(v)(V) (V)
(8 8)^f *'f --Vp'rz[ +Vp.rrt[ =Vn ( zz+ zOI =vp.zd[ =af
sur-u,rg1sop (9 3) dsor(S 8) r.uuauotu qcAcrlerpeq q.4^oso psou^Blpe s Juelods e^ (Z g) e (1.g) pueruour qcficrrerpe,rlqr^^oso ecruUap e (eS /) ruueuiour or{5{crlerpe^{ oqmrelod acrugap nr.,{u 11-atuafql
,Z+ rI= rd
Feld Z g lqo s ?poqs e^ oz euru crupe;nos qepu_e1od
eJrugep Z d euaQetur.o (O) nugls^s oqo^ocrupsl^nos n;pggod 1 uepalqz ntueurele oloqol acrupa{nos
turelod plpaf euapatpz z u A qc{uapeuo b/p ntu.urale rrups{nos qcflqgo,rerd pruoq ei 7.g .rqo
n
nza;p.rd nttreworu oq_rurglod I qJr(^oso qJFIJllBrpB^rl qBlzA e.f.g
(er)(v)
tv)
6 =zyp.'z.tll -\p.rz.'t! =
(V) (v)-zyp{'z- ).'Il +\p.Lz.'tl =zyp.zz.zt([ +\p.'2.'tl =vp.z i! ='^O
t'8 'rqo
rQ)(V)
tKJA
L tsoN{sd v tsoNTnad
.gLU.(6 ='3 e A = tt$ ?^olnu urgso otwa3 1 rza;Ed ,{lueurou ?{cqe1s eqo nopnq '(I) nzo{r.ud ur?llr??l /Go ?^ocrup?fnos ;upo,r!d yfezgqcord npeplodpeld alpod a7o1or6
(v) 'nza1rud qesqo {uqold efnrelspald V =VpI
'{ aso 1 nzep:d Aqcold lusurour (rumaurD ,&cuets efn,{plspotd ... t^S=Vp. rrl'
'z eso I nzarrud ̂qrold ruau,o.., (!ur9au11) Acuels efn relspeld ,rS =Vp. ,ilt
tvl 'z e ,{ urRso I nze{.rud luourour p2enep;uoonnd efnaelspa$.. ulrq _yp, tZ.Iil
'{aso l nzep:d lueurour ,ttcqerpe,Ll ,{aoso pne, quac Juoo,rgd afn re1spe; O ,
f =rp.,r)I'
'z oso 1 nzalrud lueurour lCroqerpe,rl ,{^oso rup,.ouac ;upo,rr.rd afn,relspo; a tr 7=yp. ,r}l'
tv 1 tu^) tV ) tv./
(c) VnJ'O'e+VO.',(l'C-vp.'zi.e-yp.17q'i'=
tV) (V)=vn'(t- t21.1"-'^)l =vp ,z.,II
' zq+Vp. 1z I S-r-Vp. r', I =rO,(t-'r11 -yp. ,,zl = t7
(e) vi\' . ,"*yp. r^''l' .".r-ro. ,rr{l' =vp. ,(r- r,tii' =vo. ,,ii' = ",
:ep{
(qJ(v)
VPT(v)(v)
s'8 'rqo
='rl1
(v) (v)
otll-u^-elsop (t'g) e (9.9) .(9'g) cpror urFFnod
Lz
,z
nzluQadAytlstufw
-6Lr-
47. n ,uts + 4g. nuts. n soJ. e -'p.a ,soc =
(v) tv) (v), | , ,.t ,.t ., --- (r'l 8) =Vp.z'zl .D
zu,s+Vp.'2.'Al osor.Du,s.Z-Vp'z'AJ 'D rsoc=
(V) (V)
=yp. .(nurs. lz - nsoc.'^)l =Vp z,I ! =/f
L
au_ra^glsop e (g g) dsar (y g) cru^or op aurlp?sop,{qelz ot,{1
aurc. tA + n soc. 12 =,9,X+Xg=,7nus. tZ-nsoc-li =,C)-,8Y =,1
9'8 'rqo
(qq g :qo) Aqez,l ;c;fnpals-eu Vp ntusueta ?oqgl,z p,,r{ ruecrups$os ruA,rou e Vp ruuouele rz D
.tf urrJrupElnos rumroongd rzau oup^elsop trlgo;d (a=g) u$l??t .,' nur?ls,{s oqg,rorr-uper^nos nltelod
ru?^oqoez Ud (E 9 g :qo) ,z-,,t,{qo1od op n larm o z-,{ ur9ts.{s {,,rocrupe;nos rupo,rnd q-aurqotoo4
nug1s,{s oq?Aor!upB{nos !ualolood's'c'g
urpso rurulyruet urrupo,,rgd I ^ua?n r:r'(O lueuour lu?et^ep tupo,rr;d zau rsuau I oqtu
uo^or {sl ;pr3,,r 4ef 1.{q a4u '2.^O eq1et loupoq q.^uodyz r qc{upe11 te,rlqeu e?Ju y.g.e ua19 a7olo:d'lJVTdgN 8qB^n euqopqo luauour ru?er^ep ord'tzr <'2r '6361u7 7lf lueld Auaurout ?{cgerP€^)l
ord ?{el Isnur,{po1 ry1 e'O<Vze dsa:6 7 y.. e Joqeu'nurglsfs nrug,roctupe;nos urg:gurs tufmp
{ uepelqz^ rguourfau nosf ,{1uou:our gltuprpe^I Frl-B-qual o? ?^,{ld,{^ TqeE^ qc{uepo,rn z :quputod
v.q.e + tztro - 'z'to
V' ze+ "f = ''f
v.zq+t^r-'^rnre,r1 op noplagd ryd (t) e (q) '(e) {quPA
(B (q
(r r'8)
(or'8)
(6 8)
, -LsoN Jd v tsoNznud
-08t-oqa^s qcepoq orqi?t ^ ,fnqesop fluaurou.r ?IJp?JpBq aloso ? alnu rte,ro.r nza;n-rd tuauour rup1napaf qc,4:a11 aa '(noso nou^oropo,r s XTlesEd) ,{poq ltnlsxe epz I o? .?ulled algp ef nTzBlqo oloqol Z
4'8 'rqo
/g rqo ^ puazelqoz ?{"1 elgral{ ,\ eua?et^o n!u?nt\ 0aoap'11 al(.0g1 :.0) >,I3qr,ros rcruaru o:d 141 gpoq qrasl nouqoul4l .(2.g .:qo n\ gy npoq ?uuoJ aA ?mlor A lrzrzrqoz li7 nzznrd,luaurou ru?el^ep E .2f 'nf nzap:d ,{luarlour gIJrluJp?^-I r azl olold .27 e ^o .xo
Ie?oF az d punorr d2 e do ',?deu la?od,{^ ord (qg1 .7) I (efl.}) .{qeun as aupol.ls E{u?rr,Blrz eu qe nost fqelz,r of1
(9r'8)
(Er s)
DZsn.z^O+nZu!s(^f -,r) |=
r^O
n Tttts.a g -n 7s- (^ r-, r)l*(^ r*, dI= r,
(n7ror-7\!=o -u1,
D -uts - P -soc = DZ soC
n:e,q e,r Xlqg guqoseufo,rp ord ,{qern glcr4aruoruo8 ;u,(u q-aruafrgno;
q.o -uts-A p.outs.osoc-r 1.Duts.nsoc+dg.o -soc= .- =
:7rp.( outs.t;{+psoc. tz )( puts.tz-psoc.t tt ) I
_yp.,z.,tt! J,^ g
,{qern (91'g) e (g1.3) op Juansop od eu_p^9lsop
, tZ\Pzsor+ll--=P _sor
ensoz. p uts. z - nzus
(v)(v.)
'dse:
$r'8)
nzluQad Ayus NflywvHc lyctaBwEg'e
' L8l'',zlg e,27 'y'1 nluaurour nuruJellap e urltlcqeJpe,rl dsar ,.2-.,{ ureso { tuapapp^
(r 8 rqo) nrufruI ?^orqol{ ^ ,U npoq yuegelood ycegerd:e1ur nouaads eur_e1srz ,{.rq,rgz gufslg
1 3 qe1 z Xu-qed nosfleqrurpod nogo b?uquro{ rlsot4our IuqJalA 1rf
e.,t1 nzar-rud ,ftuautour nuAtqerpe^I mnupo,rgd neu ureqegn ueD ?l;ef of 6. nJqg ;uqguf,r 1s,{ur5'.2-.X nru91s,$ oq?^ocrup"Fos
oqrupo,rr;d uroluBlpe^I lll ? | laz-?q3old (, eueptzo) ,f : xvnf Bso lsnul >lad 0 > ,2.^O (q'.2-,,{ nu91s,{s oqg^o.rupe$os
oqrupo,Tqrd ureluErpE^l Al e Jl lazeqcord (;, uuoleuo) ,f = xvnf eso lsnur 4ed g a z16 @
: rl-opng',zlg ruuauloul oqru?El^ap oqrspo^[d tsolrlaa {eupafe 6, nlql lsolrto^ )pupef afnporpor
,z-.{ nurals{s nuralorrupemos nurrupo,rnd I urepel{z^ Z-I so qJ^^orruper^nos qc{,rou azolod 6
(r r '8)
lffil:"" (Sl ') tsotsfdeu norm,ror otd euafo-qses lcltqnq ?^orqo11 ,r oryf guqopqo tqp_1f,$ ezl'z-{ uau:e1s,{s uAocrupe;nos urrupo,rgd s ,z-..{ rugls,{s {aocrupelnos Juaelq-a(rou 94rrs f,a11 6 nlqn
tsolrle^ (zf < ,f el{^^qo) rf B ,f as r?erz ? rza4p,td [luautow ?\rltDrltn^rl lulp4uac yao\q {e/.$zeuas ur_Bso olru?l { ,quatuotu glcqerp€^{ g^oso 6l ureg4 eqesdod af eqolod qctet e gsou2natns
rtso 1u1p4uat lu^Dlt! 94) as so rcrfo,lp ol?I (I) ngo:d uqrz^gt ,r ua4_u2od s so qc{ur1o1 untgztruurcr[o,,r.p o qsou?eln{s eir as eupel'ecntrnrl ,{irorqo;41 rc{n-gsuo{ rjd 4IrIn qc4uqosgufo^p pEn {A
{ uopolrp^ e acurud eu ITel Z s , gue?przo {poq o1,g o? trurol I ulopa1pn .eurmnu .dser eunxBru
o > ,"io
o <'zl1
rf , 'Af,'r <lr
.z-nur?upBajnos a 6r nlqn'8 'qB
L tsoNASd v tsoNTnad
-zgt-?_ .l
0= ̂p.q.0.^ J!.l
=40
^pal rya ,(p g = yp ep{ 'qg'g rqo elpod ;ue;ag lgnod zrg q'aruo,o oq,ru?errcp Bf quaurour oq?Icqerpeot 1e9od{,r ord pfpupoqfrfeu efeg.g .rqo epod nzsrud oqaao4qgpqo 6
?_zzt u. v
g'ct'; = ip. zA I -t = ro.t. ,^ I =,r '22i,a
+fir=t'7
ruE^r a^ ('I.r) qsopfdeu gumnor n ppdeu{lueurour ?{cg?rpe/q lq-u.quac ;u BII e4 ,.g .rqo olpod
:Juarav
8'8 'rqo
e3 g :qo apod e4ulapqo f I? elr n:I'g pBlrl,r{d
,tpslry{a l.g
'poq ,r afn:aua8apz acrqtr.'" s^o'qo;,.r1 e 9ula1s nze;g:d Xlueuroru glcgerpeq JuE'uoJ Ju^"Ileqo nost (g4ulaqnoqouu qc^uleph€rd qco6^ s s{uleqnfo4 oqguue.lsou^or nre,r1 en dza;ud app ezs;gd ,{,,roc:aatq '{aoqnopaur e f^oqnq) ollau s so lrTo{?u qfeur greq Tczsrqo qrfulapnerd n .Z
.(7.9.9 zrn) aJnu uetor aflueuroru gqel,repB.L r.u?rlr??t rzpqcord a?olo.rd .0sdu?e^_qes noso lu[o4uac runelq ouryd af nzalgd er4awG us6 .1
:h1wpuzo4
(.1(B
(srs)
p,re1q oryf puqopqo 1qp9f.{^ nza{Brd
nau1adAytlsuw
h=dp d,
-e8L-0 00
{ J = oP'drP.o. z@uls.d ) J I , oZ Z_
PP
0
upldp= t'f
1ue1d (g g) zs ( 1 g) alpod apnq ry6.(q6 g rqo zt^) dp.6p.d =Vp Xp1 'qlcrupe4nos qclu:g1od,r b/p lrreurala 1lo^
?upoq^ c3lle^ ef ppedUd o1urol n Algsuatlcreqc 9.,rozap:d lul_D:1uec ourJ-ld aurg^glsop '(d) ualod e
(J) ut?llz^?t qa^oryz a!4raq'(S) nqru{ npals op (O) nur?ts,(s oq?^ocruper^nos 1aryqod q-ouq7o1otr
:]uarau
6'8 rqo
86 8 .lqo Bu nza{rud oqa,roqnq Klpsuetlereqc alcr4ouoeS a1a1.l3
z'8 p8Pt!{d
='[
9 ZI A
trn=a'=^f
5ureu?lsop (l g) atpoa ureso u4rqlq?l I nzalqud X:pruolod g{cq€rp?^I eu4^ou?ls al-EO
'zf =4f e tf =4f Ko;1et,{.�f <tzf Feld g < t, oJd 'ltsoupoltps fltauotu !u4ulp4n) !w]u^of!our;;d lpet nosfrz B r{ uruso 1 ,{luaruour gFqerpe^) (7 g'g ce,relspo zl^) e)Lrul?pqo oqguoqs; al leur,(srlrrsso ?use?nos,{1.{q pqo;oqsu'X,ropu 11f,{,r ureso uryrp-qurc { lesnur luetuou ,n{et^eq :qutpuzod
(B (q
crqtt.J'a=zn'u'rz 1 =^7z,aqq
apnq {par ry; ' j-
(tlzp rce.6atur qd 11. u4ua;aq s uSoJ€ue l1?nod rpour ruoqc.{q,r1 lspod{,r or4
LIA' ,Q' . = zF' ,z 't
vT
-------T4'$';
v-7-'r
L tsoNASd V tsoNznad
-?8t-0I'8 'rqo
eOl 8 'lqo elpod nza{'nrd oqg^o ulaqr.rto.q qpsFaDlecq, ?{ruauroeE ala n
f'8 pBplqd
(q(r
,1=' =9llt 'e4l
M?p ! ̂pol e uepoq ecnq.nr{ e^orqow af ,{p1.pud*d o n*rr". ffi:::Jffi"#: , 'ruueuroul oqalrnerpeal oqrureJod qpodlcr orypqnpoupaf ppeH.ez er luueuoul qcficqerpen4 qc,{,roso yuaga;X,r 91qc,t ord Etr?nd^ ?ufe^jzoures ldq ,{q uJqour etrr*t^r= h9
* f9 _ 7r '- nF-=P=-;;="r
a?oio:d .eu?ulds fpet ef t.e.g $orqss[,{ eZt _ "^
tF'a - r
.nzer-n:d oqa,roqnr4,{lueurour nu,{xrqupe^{ nu*r"TH#rj#:, uru nosf X]usurotu glcllerp?^)t e 0 =)ztr7 tyf,{,r.o1ssnur o1old e .ar4au s rumso ,(1,(q ,{so 1q6 .1
: twpu:od
0
0=6p.6soc.dtwrl .ap.v.z
0= dtp. dt ,soc !
v.z
nopnq qsou?Bltes llrpurolog
o
[= "uo
aP
urf9
0uts.d)
! t.?
00
d)l !=".2 1p
(d)
)t.
d)
dtt
0
,d I =dp.oJp.d.(dtsoc?p
0.oF.
cd | =dp.d)p.d.-'2"
n
= zF'z,9
V^r
,P'T
nadoad^w
- 981-'g : e ^pot llruJoq!to.tt ,{truenmrou,lor ppellodpald aurepnq luelnpoupolz ord'usou?e^!as ureso urlulg"quet uruaeJq o1rug1 1 ,{rgtuolod alJuerp?^{ ? rlsou?e^!as
so q3lulelluac qcru,relq nqolod 'nze{ud ^lueurorx elJusrpe^{ Iul_?llu5c :u elq aur}?m el-€cl
9 8rl'
ltfl=ft|=^rzl -lt
- g.e ll - 9tt'Q'el
nopnq f:qurolod elorleJps^)
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^d.& lrfauzaqfoN gl!?mou r? 91rpm .{1cue1s of nltusou lu5?oF ?^olloc epz lrpnosod ,{p7,r oqnu af
{3d lu5?oF Bd$ qcfuaga,rn aE4k peurqurol qct;iprz,n:fau lcourod uaTop t4(q a74u:grsou i,ip7e;
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'pode ultnu\ta^ w{u7n'uluaglapod ta{u7n.td ̂zl s auelr?od leqpeuez azpu qrl et ,{p1 'qcepedgd
A ru?od,{^ rlsousald
aue,ropeTod I urapal{z^ eceuuoJep ol& nopnq ?IIe^ )pt 'ot o uaf apf ple Eu?ls gqnl ?ulnlosq?:fnlsrxaau ;oqeu
'ruapolood ?tsrf llo^op unuga^ op?s{ ?uqopqo'ur_Er 4qnr ?r4nlosq€ 1tqor,{,r a4eu
;oqau'euqod pnlguod rue7pez qd e:odpod 9pp1 os qsou?alruls on grre^ozrpepv ue;,ro nosf JuoTolnAd,$ euapa,rq luaurour fqo,roqrl r ep 'nlls noulo^oqrl uafau 1q.{qoez oudoqcs af 9:at1
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no^oqnofl noarnsod epp 'luauotu 4upgZ {elne
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6 rqo) 'ntodpod no^oqnolr! @ou^d(, nournsodau ot e lua?o1n Xd.{r ;qfpupeqrztau uaf p,roqu,rn
aurapnq npe11{,r urapu n ;ue7o1n oqaf nqosqdz eu 91sr,,r9z prnetspod nosf n4nrsou qsoulssl1'lsqpeuuz
ol azl 9pur Brll?p otel ef pnlod )p;^e h{1usou aol?p ?lr?m eu lqosgd,$?A '?poq ugurpef ,r;c;qospd
hlls ldeu 1enozrp3r ezleu Joqeu '?lrfods
luo?pez ?p?el ?qs?l/r of rxsrd A pode ',{ul1edq ure{en
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'9'6 .rqo z^ (Fs oltlc?l nour^oJs e,r{1ds r/ eurnor lrs A,relsnos ?umaor n) o{,
}?or 1nr ,r .r/ fur,ror a nzemld oq?u?{lop }cm?as!:d ?use?nos ofi, ?dols ef '(n1pod oqe^oroDle^ i our;1d au,{1d, l?ol lueuour Tru ̂ ,tf pur,ror 4 {ru1o1 ef nluauoo' oqgnoq'{qo roDrs^ ezoloJd 'nzaln:d o1urol A nJueruoru oqg,roqfqo uoDro^ { rcnr401 01efeurauelsop nlyusou nzagud ureupHd ru9p7e1 ,r norepl .u1uq;d el og1 ryuauou otlVdoqf4o ndo1g
'nluatuout oqenoq,{qo fdols .,r21 eqolod pedHd oluol oJdaf rcrfnpoqzoX .qfqo firunor uaf letseu ̂p?^ lsnuou 1ls B^slsnos guur,ror emod yqosgd Tusou su ?,{pI r aJy qxqo &o:otso:d '{pzl eue$Eu 'rrs snslsnos s,\orolso:d {usou su ll-rqos$d .f1n1;x g,rorolsordr? ?uur^oj op auqord :{rusou os Bpz .oqol a?od Qntotsotd e {.uu!^or eu eunl?p n4lusou gtt16
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g,rg:d az-r,touaor ^ laFpn lsB? noual?pPo lsntll 'noPnqeu ez-E^ou^or .a guceqo iqos o ftuDs zJ e 'J 'vU
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z nost,{1 .1oqeu '8u e vu a.ryer lell?od.{A ,{qe,rou,ror cru,ro: qc,$cuets ;courod auqsnru ult^epa{d
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?qos I ?^p eutauptsop urrt e 'qcgur^ol qc,{uo1o,rz a^ q.lrlqossd le?ols op .urVoqor,$Fr?g ?^opsp[n7?Nz,{uqce;n nzs1rud lupso lullu^elq rcrfaz_uqco:d .,{ur^ot eulo{ ?qos I ?^p auqlo^z .e,rorolsord
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z'6 p8truld
'(aczod:cdns drcuud) r.rped;;d qc1p1;p qc{qcnpoupaf nso.lrluz ?peryz
uu Xqpqpd llQlr?ols I rp911s eJqc.{: Ilqoum ur-?u lsoJeu qctfaf e ;fn;Jado ols?? es Joqeu 'raor4,
?ula?^ \or,tt E I itqgqg:d 9upals{,r p,roleuredez ts ApedHd ?qcnpoupef gulf ord r o1ua1 ord gupoq,r e1
1^=,lr*=-,,.*Z-= xI
urlueTolod rf aureuelsop u nllusou ponsordn ?urfa1z ef orU lsolllo^ lulgunxslll e1o-quo1 ;rqsou ed gd
I tsoNASd v tsoNznad
- 961-q?q$d ?ur^or luBluozuoq ^ e (x)^ow nluautout orlg^oqfqo q?qBld euauelsop ?qr or Jup)Tpro^eA ('plg nzel ,(poloul lRn .?ut^o.l
lul-Eluozuoq ! Jr|l-s)t!lo^ aA ec Ba.r rlel^z luf!?od/(^ aulsnu)ur^or noqo z ?pre]|.- ^ olrl, B I {q?qlld eur,rflelifi e [s ,{ABlsnos ?uln^or ?u|eNotues ?^p euau?rsopurll zl 6
'lqo us-B? lulop ^ ou?uloz_Etz ef {pt qsgul^o.l otqc?l ̂ qr!.Iz^el .Ie?ols op alupolzor olotdtJ nlrs nuhol luBluozuorl e lul_B)Fla^ aullo^z ls .luale{ l?pg^ord ouapnq ?qrru A,Aw^or eZ
'ueceuzu eznod dntsod apnq ruefel usoFl-?szor I ulepallz^
:tuaraa
zI'6 rqo
,4 I - t'{t-
.J = zJ = t! pBId qso{qe^ op o5 .zl .6 .rqo
alp lrs no^elsnos no^ololsotd ur?ue.zJ'iez .nzalrud oqe^oqnq ru{tusou Bu otlill ? I Iq?q[Jd al3fln
e.6 p8plr{d
' I r '6 rqo ̂ oupd ^u-B^otgrvz nosr nlueruour oqe^oq,{qo r ̂Jrs lcffe^nosod ̂loupoq ?^o{?rds
1u-=1 " b-=(x)"w zx x-
x.b=(9teuteuqsop {?d
.( x tonrpej^nos no,rou pa,re.z ,,(pe1 e)e,rerdz p,rodqsod lffpupoq& apnq .buo{ urgJsr,reld eu .[ .ll
Itod ̂onT JBqpqr.ud F-unopm ug
tJ998'0 =
l9'0 ..OC'ntr ,r,"^ /
QXINSON SAHO'6
- L6t-
(E 6)(x)b-=( x)lp
eu.{1d ;u z e
o =t( x ) tp + ( x ) tl- xp.( x )b - ( x ) tJp^l gur r?tus flsr,rs ord ,{qglou,ror erru^ol sno1zols ^ge^ou^or oJru or fpu otd eruqrduu .ez_Blouloi
^ B:IuI?B qc{,rops qcrqlpu,r qoeE,r ruaqos4d ez q{q ;snur luatuela 4lsgd^ a?otord .qrozsl qcfuu,roTe,rn
^ ^{ul?!r ?^olrs r lsFz^ ?uqopqo rsnur o1o.ld e yp o eFso-z^ x errupe{nos az .o1ord ol s ?u?lsa^el ̂ uq{ur?g uo:d 1-urcuare;rp o ,{uap;g,rz nosl nluaurala aua;s e,rerd ,r {:prqn anolrg .lqosgd tqu eua:a11 'flurgn rur,{,ro1rs es nlods luaruala ,{ua;1p,rz e ,!eg.{,r ugu:ozerz oinryze;qo 7oq9t Usgp 9,rerd 4
eI'6'rqo
t ,"r, I " (noN
'€ I 6 lqo eu ou?ruozevz o1 al lel
'xp ecJap o nlrusou luaurala ,{zar rur,{rzeumos erug,rp gtu?tuf,(,.'rlrpo^po ri uoqc,{qy lsolsl^gz ppipu 1uz1d rsnur rurru zaur a7 'gusef olord ef .DlJusou ary .n^oq?tezu;;tqu,r o1 e hour?gd nouqalods nourpa[,{u91o,rf,r gqszl,r nosf ,Queruotu g,roq,{qo r ,{[s ycrfe,rnoso4
1 nogJs,rryfu anosod E oI4, ruefuamou Ef^oqfqo Vaw A\etz1. 2.2.6
'r?al ?Aqsnos B^olts glt?Ao??^n ?lu,r 'pur,ror
l fpal "{ s e eueurer pur^or r eulo{ nosf oru {uoDle^,{4urs qso{rle^ op 03 ugf otlu,(qgqEdXueseu,('r nosf 71 6 rqo eu e? 'lnxop?^n rs uoqc{q rlosnu .(qc{,roqnq
7eu glgord qc4utt nq^qor-td ?qnu af 7oc) queuou oqa,roq,{qo oqgupols{.t ruoqs^ ,trpurs I t$el,{^ y1gtqc uoqc{q pn1o6
'n{rusou qrazer_lud qcfupedzeqeu qc{:oqpu I Juals;pIir oqofueft?atsod ,$qouu oqau
x lclrnJ o{Et ts?u,& 11qoru pdo Xqegod gpedgd ,r rs ruoqcXq lueuoru {,roqXqo fupels{,r otual
(x)!"111+(x)!'61=(x)'4"W
nluerrlour or{9^oq{qo oqgupols{,r tso41s,r ord pald .ftoqa,r gu4o1 puuatgzr o gupaf esoTolord e ruueruotu qc!?llp noqo utuel?es uqiro.loqo,r auleuslsop rqcorv luoruou {iroqieo fupslsfn'ZI'6 '.rqo ps9? lulop ,r. Auaseu,(,r ?u FEuuoJuI nosf .tqpqgd o!{l BqO (X)r*ol[ $treurolctr oq9,roq,(qo
xp
4rP * l(\
(r)orup
lrl"' ) t,(r)ol,.l
L tsoN^sd v tsoNznad
NOJE?
(s o)
\1 6)
(9 6)
-86t-
'flls lcrfe^nosod norep yuper?a1ur e[ queruour oq9,roq,{qo qpqEd e ;uoTpez oq911fodsruce:flatul af ,(1gs ycrfe,rnosod qeqpd e? lsou?alnls ef {g,r {,ro:a1pa^rqcs urelpelsgq
lato-=Luegd enudz ndnlsod gd r ,{po1e eTr.rurau lru?uz o{u?rtreu ss (9.6) nqef^ n e?.?rufepoures eI
rxn-=ffi
rx)b+= ! - ( x)tp1te'd aE 'lt'oIu?urelz
lu?ul (r.6) s (t.6) qrlcru or ̂ ?l?^ ?^orelpe^rqrso,r as e,reidz ndqsod qd a7 .rpppqase;d as ruoqcXq rrrruazolpo ut{lr€opuv zrctdz Apalle^odnlsodee,\e:dznoua:aur.1..rupp{nostse,rez;qfgupoq,{,rg,ra{qqcapud'dqr,!oq?uAIEl.6,rqo
zt^) e^alz x rcrup'r-nos ausf rlUgur .ft ?,relz r*,rodqsod atust.{1gn A,ro:a1pe,nqr5 lr-B^ozo^po ud,'elo4uol qctfaf Ud ? ofl sl Bq?q1:d
rurla,r af 9:eq 'w?^ n^oralpa$r/rs ;tnlnuuog (S O) e (t.O) .(g.S) ̂qerzl
'V npoq { noue?€E^ tuueuola or{euB^o?B^n ,{qu.,rou,rorerueu?lso(l
rclulor nololu3lrrour aruprdeu e1-eq.(g1'6 .rqo uu ou*pyrzeu
rm,ropap,{t Ud elr?ellp
(s o)
\r'6)
ef or ryf ryl Tlop uro:purs ;c;fqpus (x)b ewanqpruodgz af I ecrupeFos epod (x)1 i(I;s Jc;fe,rnsod
(x)b-= 'xP( x )"yl rp
oueuqsop (€.6) nqep,,r az pazesop od e
-_--=_(x)tp (x)owrp
p?qr,h ? apod noupafppef(9.6) qezrr 11-aurafn ryepT 'x arrupe{nos erpod rqusureur oqa,roqfqo rce,ruap euao: sf e11s ;clfe,rnosod e4 ?y'gpn q?lz }upersod
rxit=ffiaur_plslz npgi oqllqA,r ,(urgr1a,r 9pu eugeuolau o4efnuel? oqFag lu_Bqpauuz B ?^Erdrl od
s =[1 x )" wn + ( x f w]- *. xp. ( x )b - xp. ( x ) t+ ( x )" w
zxP xp
(x)b ?WeH ez 7lun1yd) meqguz glrfo& e:rrlll.
lcer!:ap ;u,r:d 4 24] tiP{tr,^ ArzelBp oruol
QylNsoN SAHO'6
1
, I'Z xpr'
,x.ob ( x )"Wp
eualpod,ir u (y 6) nqzrl op aunpesoP nlts lclfe,rnosod nouagal^^ oD{eJ
'3* t=zu.- = rp.!.'oi.-=r, u ' 'X
"D x
;ryrpf,,r yce!7a1a1
!-.oo-=,Yx ( x)lp
auauepop e X19,r ,{,ronlpa^\qts (g 6) nqezr op eu;pesop ;ufp
IL'ob=( x )b x
qsouqopod Z nlrusou ?lslur ul?u.oqo ^ ltaqpvz oqglfods 1solqs,r
au4pm ru o:d q4uloqr;fon
1,touu1s ou4mtu erud[o;.1
:tuzsal[
tI'6'rqo
'ob op fFu po urrcnolsol Qu:-Eeml uruaTpez ruflfods
ueTpez ot 4rusop 'l'6 'rqo alp rulrusou ea oN e ! qpqgd etapolf,r Apl f,lorepamqos ltolrod
t'6 pupuril
, _r.soN 3d v tsoNTnad
- 002-'fl,rosnms nre,r1 a t u$uazppot g rnmalpez ,nflrfods
ue4pez ef rlyusou 'SI 6
.rqo elp nTusou eu oW e f ,{q9qEd e1s1pp{,r ,g9,r ,{noreJpa,nqcs lcourod
s'6 pspt!{.I
"A-=(t)t ' vA=b)t
(ruBrp^ tuer?tus ac:pa.r q-atu_uoggodpa;d) peld puta;z ;oqeu 'nlts lctfe'rnosod old nqeE,t oz ll^ouBls acqal rgt^ a[ ez1 Jcleer qsorla,r tely2od rJerroqopodeu caqgrr
ausf aq '91;af rs eur?uurrg1 .' I .6 .rqo eu IuesauA f1cr3ur3 nosf o1ry e 1 ,{qpqEd guapaqA ot IrJ
tzc^:J
' ,l'oh-('x)"W=*'ow
srua11od,{,r olg ord nqelz^ op .x ur,ruozEsop B
n$aluotll oq,rurx?4xr slsJrtr I'Jup€Fos eu4?m pnpo B
-t'29._u=-e;.dE-T:dE=( -x)t
{pat euBolo; '(Ag,r iirorape,nqo5az au,(1d) 0 = J, el apl 'nze;gjd ,r gufep apnq lueruou oluel .rer11 lsoTlen llgesiir eqsg ef grpel
tI="x
;h-'ir=(x)'wj36-fi6="''
o=zC
nopnq ory € I ord fqqz^ ?upeFA e
o e --!-_�- La
l'ob- -'
&mruelsuor Juler8alur ord eureuersop tueurour ord nqep,r op 1au;urpod qc{noferrro olqc?t ulnransoq
6':oyg al 1=x otd(e;odpod 9,roqno11 ,r luauoru o epf 0 = oW el 0 = X ord
:laqnuood qcfaofeqo z arueuqsop zO e ,C Auesuo:1 ;qe.6s1q
I'9 (. t.7 \ , 'c+x.'c+F7vb-=ro [b+-:-;-- )l=f
,f nPqpo 3
?ylNsoN UAHO'6
'r0z-'nzet f9otew z loz''qri{^ e?Fqo
opl?p urgu {q e4 '9117o1s {rlopu tua?Fuz glfods of 7,$f i$qo1 uef qpir n orelpaArqcs eurg,rpn olord
rlod aor,r s nlrusou 11 '11od uralpd s ?ueutB gtsBreu {Bd ruQod{,r 15ems16 e lau,nupod qc{aofeqo
z te^o?m alxlsntu eDl'Auersuol ruqerfalur alsr^pzeu ?Ap eueuelsop o1o:d lyod urgpz^e1 n'Jl,BI,lz qod
u€p?sl ^ le,\o:8slut eu4snu 'pod8 1rs qo{lgureso n{palsfp n'(x)b yuaqogot o:d pso uoryz qc{u2.ru
nlprlsgp ,r 'ldeu rlod acll su lr?olzor llusou oqnu af aTrpsal ;1od acy,r pu tll?p eu4snurau {Fsou ap{'urpl
?u^elq gupoq&\ ef &g,l ,{,roralpe,rqcs Ffz,n a? 'ou-qed ef gpellHd qr{ue:qo.rd Z :Dltupuzod
'S I'6'rqo eu ̂uascu(^ oW E ! Aqgqqud nosf Xlcgzrg
I _uts.x.a
tlr--!-s62.-.0b=( X ) tx'1t I
:aureuelsop 7 6 npuppd ,r olaf uaqosr.rdz urltuqopq6
:{:1pa1s{r1
sI'6 'JqO
/1t \
,6]t'u=***
,G)'o=,',"*
L tsoNAsd v tsoNznud
- z0z- 'BI?Nelur eft-Dlo e Btuop slsJur lE^ologuol fp?^ n{.rusou su orf oq,]Il?^feu lug^gpalq/ Ud olordaunsn;,r1 nlsfu.rs e^ols ut lcqetlllal8u n Xrug-lxe lulrulE)lol nosfau 1eg,r ,(I .eX = X E zX : X qcetsFx,r Xrueurour (Iaze.lgo zr^) ;fn;iireld gqetz faf Joqau tDllusou pu luauoru goqfqo ;gglfou ryauslappz ol {Bl^E 'rx = x slru A lua4xa rrq_e1o1 aurapfeu acrs ., npoq oqeurpr^n 5f1(^ urFgnod
9I'6'rqo
'9 t 6
.rqo Bu o{st ,nd,! oqgufels o1ry ,{qgqg:d ;fq,iys,t r 79o1 as ols?? nula1 .n{rusou ru?rr?meu o141 ,,r;1gnfeu,, 1euarr!?uz plpf rsnureu u?Icqeuta1eul nlsXurs a,r ,,Iuue"qxe,, ez .ol pu gqruodezolss? {BI^ as apz rulrusou rue^ozueurp r;d 19rz aurafnqepod Xreq rr{ oq,ruu xo F_e^ono$^^I{d olsB? eur-B^!z-nx^ t npog 'FeH
!? gdno' q?qBrd 4u?Aop epz .ol ?u le^oznsn erudel 1ed u ,g,?rr
?^olepaaq3s a^ t ^uep n 8)JuaurBrE glr^gjds lnqeJdn oqol elp ?^oF rp unerdz q_eurefndqsod .:ozodlgp eqas ryt^ at ap7'pode llesJpt !? yfednols ec4ng au?Aop ace^u.p ?)lueureu alpod op:1 1rlot o "orunqpqrud,r npoq oqJuxeuu azolod o .ldeu.qsolshqz
FIep ?{ef lpo^po ez1 Ap,r f,roralpamqcg e7'(,{9,r ,ito:apa,rirqrs {aFlsr.rp) ul?!x. oru 9rr noloupoq no^oJnu p_sqrord 1 qpqEd epy .y
.(Xtg,r ,{ao.reJpa,uqcg e gpoq no,rp qcpoqcpo;drapolslp ol af) rut?)l^qx {ps^ rlorru '(ru,{trfodseu .lue^e) IruBJe? nr uauol aznod fuago,rl o41I J ^t{?gr.ud nosf '(urueTue-z ur{ fods eu) rtuacrlolp e rurups rurflpures o uaf u4guz l]usou ll_ef .,
. nza 1 Apopr;l z au.\ d _ (arlfonp)lueurour lql9ua lqosgd qts;tu ureul{op ,r 7,.{p4 .,{pqol usf e Xpqat Uq e?Bur o1ry nqpqpd,r >1o1g .7
'(Ap,r ,iro:apemqc5ez outud aurld) olil|, nr{?qBrd ^ ruolz r r{q Isnu -l nq?qFd ,r 1o1s af ep1 .?lsJur ^ ?uss?nos 'nze] {polaut z oruud eu,{td luozl^t oloJ '(I nqaqfrrd ,r 1o1s fq tuPl .rutseu ?lrs !$f?u flslrurualefgu ,r rt-yqosndau e1 nqgqEd,r {ols t4q ulel lsnm .?lls
lll?u^ ?lsFr (!ppt?u ̂ q_lqosBd .6hls,{us urlln{Bxa ,(lcgeuapu ,r pdgqc eqap af .fpqa1 uate Xpqe1,, rcelnwloJ) (ac{sel I {pel)ells 9l?ureso 1;f9ua rqosgd l1sJur tu9u2,(top n 7{p1 fpqel uaf u ,(pqet t4q a?Bru I nq?qgd ̂ )to{S .
I'"I4, ?J Bq?qBrd Fr-p,ropo9f,r gd ryqp aunsnur qcrfteDl .[,?^9-z q.AkeBp 411o19u ;w(u rs eru-urqg
.11 u1 Bqlqyd !ug^o{fali(^ oJd ?tlve1pJp fJlQ^gz t7.6
?ylNsoN SAHO'6
'toz'geld e?I.lel'uo
,{so ;qg.Uneu po uolgl^ ,( Bsouelgpz,r erupu4r nostx/xz: a ;uoTnopo:d grupruod r x7 rueprolpord e7'guir8d
?91 ef 41 6 :qo Z'Qt'6'rqo z1^) uo aso lulp4nau ^ zantd fulHd {p7e1 9q1o: d gny1,nt1ao1ci
lulp4nau ^zt luld^^ rupalsod o1e1 lu?u.zeu nllap no^s gleU?u ? pgDfz lsg? .l?nopold uaq,{qo
as ua{sll olqr?l ls-"? e? 'oruled LI 6 tqo z cf ?qgt^ gulgpod euel;,{ur urallusou rs rl-arxepeA
LI'6'rqo
0< 3
0 < av
:!JsujoJop od
:lrrurroJap pe{d
'LI 6 lqo zt^ - nlrusou aso 9u19pod ?ue^ouuoJop
I ourlorl nopnq e roeuuoJap od r rnr,{uur,ro: nouelsfz hllusou eso eqgpod 19ur1o1 ;cuuuo.lep pa;d
Al^q arell'.{zaq guur,ro.l e? bH glaDl '.{zgtodlq oqrllnor!3g ,rzt tsorueld eugz-e1op af qfqo flsord o:6'nltusou uraq,(qo ur,&so:d aure,q{zeu pBdlld olual uelueutor[ ur{,roqfqo emod oqguaTpez trllusou
pedlld le^op^n aurepnq '(qcg1o1del qcllpp ^ ougzplop apnq) n;gusou lceuroJap ?u IBI lsopfdau
eu {ef ^rl^ {qapqpourz 1 e11s 1cyle,rnosod gur gpedgd ?rnln^ a^ e? 'sfnze:1r as a?olord .orry u J
lueqos[d nltpalslp ^ nzer_rud u9u1,{top A orqnzl lr?deu ?ryt1r4aqX^ Bqen ef MN 1 ngs;c;fe,rnosod
e orry tueuour {,roq,(qo ;q-eue;d nlnrsou oq?usqfqo zegtd Aoqe4 eV 'Xe4ry rs ausf ?Agrd
0=3\
0> ?0>xv
rs'
L tsoNASd v tsoNTnad
nq,{qo lid lt?duN e'6
- voz-rqeld ̂pel lsni^l
.nzslgd',nglor od )csr3atulli trp lls qrpr_Bluaurle qcal^ urJuepas auaue$op nzaln:d unlar eu nlrs no^ol_?uuou noupelsrt1
VP'o=Np
cpl 'ffp ?lrs g^oluuuou rureluoutale ru eu tqosgd - 61 .6 .lqo zr,r - o gQdeu yp ac;o1d yurglucurale
eu ll-rqosld 'nzalnrd urauu,roTu,rn ,r qrJc;qosr.rd .o ll?d?u q.^^ol-"u.uou lcrupels{,1 ef il ells
'(nqolod;lef euguau ?llef uol^o uryvz) noso lup4neu s 9,q{1dsz Bso ?ur?u ,r 'upts,{s
{,rocrupelnos {,loryt t1lo^z eutsf epl .61.6 .lqo z1,r - nl}s noloso noupg;r;eualdau q,(qo eu {uuqeureu {Jusou e? .qsou?oln_Is ez eurepf ̂ ,{so yup4nau {qo1od ;u,uno1m q6
{so rulurlnau Bqolod I.f.6
rf rcrupelnos 1r;qur prupo au] eu a?1el '.Go nne,4neu nqolod rue 9 ,{1ue1suo1 lso{JIa
ruB earraueu
Joqcu 'u?dpu qsorJrla,r ra9od,{,r o:d trasau ?llaf (01.6) t1zy,^ 4
.rs lrtrop?An ot4nu {es^ ap .q{qo fisordo ^pal es gupefau " e11s pJfe,rnosod euurol;;d ef fp1 '?p"d^ud ̂
1;cyfnroq,fu osordeu ,(1cq1erd nsousa;ds r?^ez otuat peld 'fr{qeqpeuuz nour;1q,r ef Xps nlfe,rnoeod ̂n^ a? .ouepa n olAq ot& ?![ e?olord
8l'6 'rqo
'g l '6 'rqo a^ - (nza{.rud Je^l eu npalqo zaq o1 e) Xso ;rru.gneu po
rlsouappz^ au?ur1 ourgd o pqdou 1so1rla,r af nq,(qo rugro_rd qd aq iutap al nrlev,r oq;upolsod 7
(0r'6) t(.c-=o
nre,r1 a,r qep,l {upauol eur_Dlqz e.g = 9 ,{gue1suo1 9,Lou urluepo^vz u
i'e'1-=oeueu4sop s sz (6'6) z uryuezBsoc
'rt = o uo{F-z ^{DIoo11 geld 4ru ord lsolefdeu gsooupaf af qi(qo ,ftsorg .41.6
'qo - t quo$z A nnrgupupl gp;,rodpo nu9ls,{s oq?^ocrupepos ?qlo^ Ifsu ud a?oto:d .ouafodgd (6 6)nqep^ aA e[ snunu o{uauBuz (nza1rud ̂ fso ol?l nqolod eurarzeu eJe .,(so prp,qneu po arnu^pu rf
o7 'eu4,r 'f1) rf tolupElnos oruH?ut prulpo 'euq^au pnsop " psou&urg lolrur?nos {ur-utzeu rupez efe ap1
)
(
\ol^l
G'6)i.e--s
?vlNsoN aAHo'6
-902-tqsld opnq '016 z o tz ?ttsz?nos rl-auqpBso0
'lcsrSolul ll '$ueurour qclu_auoualc qr6l^ u4ualps euau?$op or{ ?dols eI luetrrotu fupels41
vp.o.z=Np.z=wplueuror.u [rr?tueualo o|ry gdots a1 rpo,r,{,r ua11 'vp.o = Np eF lur_?lueurale
lqosr;d (61 6 rqo) Vp ac;o1d e1 o1ry gdols aI lrs rlcluaqru^ lueurour 1u,{u eugpgf,{a npellodpa;ci
oqapu ?psl:1pz eN 'atu1^au ulqez ura;Ao o1 'uqqds ?u?otnls epnq pugodpa;d oluel epz '"1ry gdots e>;
eurlo1 sf sq 0 'z noso s gMlds uo Bso lup,.qneu s7 'epp eufspgJlodpe;4 o1ry nodols as gna(1ds ,{ eso e1
lpl urels^s 4^oJrup€{nos ua1o,r. af ap1 '02 6 lqo o1p ntrud za;Ed {uqqd aurefnTenn tutzo^po ord
'nza1n:d ru9ue,.'o7e,rn ,r o;ry ruoqa,r 1 9uqo1 af o141udo1s a7'llsou?etn{s es ruodzor ̂ ol^q ̂q ol e orry pdols e,r ourud 1aqe1 qurfep ruuaurou o1oqo1 roqa,r fq lesnu:erry ?dots eI tuatuoru .fief9u ,{19ur .{1;s ;uprua Tgol ,tqAp; ntuaurout otlqtoqtqo 2do7s a\ ruauou
,tulr4s[^ r(^olnu {Dw Wnrd o4Vuoqlhlo nza4ntd upupt1d ta?nol ^ {gs 1up1ua e? 'qsou?elruls
ez aurapldr nlqB oloqot lu_?^o?m rJd nlueruorrr oqg,,roq,{qo nodors as e4,rs 1ftep{ 1eC! [ ',{so
Jup.onauuolls tr?rn ?Uef eu4snl/{ na1y,td ra?t l??t pzptpotd snta nqf,qo yid oto lr1parn aq 'gwtap.
^pel ef e urgl;r7p1 ruryc;fazeqco:d ureso 1 smod {aopu af nza;"rud luouoru (,ur_Baull) AcpBtS
'aso lr{e, qnau I rtr? 'z aso I nza{Trd luauroru (p.r-earq) Aiu"ls ryl^ af o=W.ii' *4t
(v)
0=vp ^l
(v)
1ge1d ;snur 'ugqds qup,r rupolsod 1Xq ,{qy
(vl
0=vp. ^ J . c- =vp. ^. c I - = N
arxerrutsop '0 = rV rt-eurpolode (61'6) z o ez lt-errrlpeso6l
(V) (V)
vp.ol =Np I =N
6I'6'rqo
0=N
7=\ ""
L tsoNAitd v tsoNTnad
-902-
(v)(v)\c I o./
eueuplsop (01.6) z o tz ruazBsop e tc?t8elul od
lp.o.rG= tr1p.I-="Wp
luattrotu eso luJ", -qneu { gru D/p ac;o1d eu;clqosgd flp Bt}s luJ_?tuaulotg .02.6 ,rqo
;courod lpdo aurlpo^po eso IuEInau { Irs rlcJunruA luetllol^l .eso rup, -qneu { [s qcFrnru^ qolurB,luaulelanlua[lou nrugupelsX,r leulol tsnu as ruazagn:d ur,,{11gm a(ue;9uaqd lueurou faoqfqo
.3 Aluelsuo{ lsolrla,r 1r1m g,qtq7 rf blupstrnoslq?ut pnlpo '{pal eu},r e (nze$ld ur?lll??l lz_Bq3ord e o1ry gdols eI grulol ef nqfqo urguur,ro: Hd),fsoyulegnau nqolod augu qqf ;ufp
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'71 a1olrde1 I euazo^po epnq lso4la^ ?oqef loq9 4ucaqoaso rule,4neu ru s Bllls 'nzagn:d noso lu ?H noupg? es grqolol ;ueu orq edols Ip1 .gpedgd
1o11g 2do1s ay 9u1ot1 oso 1u1p4nau a[tnal7rd
ott?uD^mn^n noso ju^Dlr! noupa[ s pu?otot oW odo\s a[ fpry ppndgd a o? lnourqs dzl lxrdrQ^gz'orry
?dols eI guqorl aleso p1_u4nau e7 hpBplodpeld po tqsndn ruoqc{q qsnru u (1 1.6) z4u,urpodeuqqds {q ,(q elqouau 'blfqeu
ryt nu.ro1 ,{qfp; .no6o !u BJrl noupaf s grz^olol t4q 1mtu fpat orry Edols
'ma1pd ueso rufiu^?lq z e {,{so l-no6f uaf 4^o1nu f{q aTgur ua1 .z e I uluso l ruaruorn;r4enap ef lor
(v)'tg-yp z tl
zuf,r {,ro1nu q-af 'Xpqal uat4^oFu efog, ?dols eI lls qcFrnru^ luetuoru e?.armpr nq?p oloqol Z
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QylNsoN SAHO'6
- L$z-'qretl)[_el^ qrrufBq no^p a^ uarnlgord oq?^otFq n 9^9ls?u nl,eualBul pt7--n^^
?uld e p?dpu Frlgurlr"K tz-nf^ Frau Eu.pur e F?deu ?pur af apl 'vo olorlo nou?palmos nl-Pualsur nulR^
euf .ifaU 'lgord ̂^oqnq ldeu sf ,{upoq{,ra51 1qn.{,r puld efe E?dp,u ?{le^ ul?u t' af appl',{so Jrq,aqneupo olepp nl_Bueleur acr,rleu ef ep1 '1gord1
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oJ nou?lsmm nl_?uelstn mngp,r lfuru aDDt 'ft?^t ?^oryt q 'nJgord fuea1 ?upoq^ llo^ ounu 3t llllcop
oqol uroqcAqy n{rusou Bqt gpur 1 .{pet e npuarur €qenods epu e1.{q uolud fqu ler Blgord qtfusoun
AVat e 'ol[ loupoq qcfios.{,r |e olrop ouqeus as qsorz^our alo '%4 }It?^ af u4? !?dEu ltilgutlxstlr
l eurlr uql epffv. on urguep gd e7 'ou.Eed ef (y1 6) nqup,r ez Joqeu .rlqAt{o gd meg:d oq?lem $ousor4t
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ruuaurour oq?p{{3qerpE^-I nlpod uo,ror af ppour oltraJ- nqiqo A npout $Aoza!ryd au-?^42?u nolal-l
nrn?rla^ no^ou rJpo^sz 0rusl epz
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tsolrle^ lrur epnq e ta+:,|f apl ?lsFx,r apnq pgdeu g,rorylt !ll?^feN
La
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'(z noso s grqolol efTef) aso p1-u4nau 1 nzagEd lueurour {1cperpe,r1 e[21 ap:1
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6'6 pBt{,r{d
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t'6 PBpU{iI
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!n !f!pB lutu ol olord s (urruar?s {pa1) pr3alur olef JTrzirau g Fporu firozegrd :Dlupuzod
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'lJt?FYz
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af tueurour lul_Brrlxe4 [2 6 rqo ldeu zl,r. - x ecnrpp{nos 1c1urg a[ quaurou oqg,roqXqo qpqp4
ltsou,rad ?l.8|s ,tIJusoN f'e'6
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- erz-rtz ̂pel
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'ezeloulor ^ ?qos o Aures rltq noqouau qtulep acrupaJs{,r otAI 'op + o p?deu qc{rro1-euuou
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6 rqo) ndmsou eso 9q9pod 1nu.{u4o1 ,(ze1 rurfueumos urup,rp {uazeuro
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(B)h,
'z lcrupelnos es es lugrueu [ "{Jul?pqo acll! ?lec od gulor nosfppdeu 9,ro1,{us (q
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lsolrt5^ ou-Iu^gtsop uel?od4^ e 0t 6 rqo alp aso Jul_?.!nau { 9s9? ?uB^oJ"4,{^ lueulonl Arqels s vz
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'c * x''9 +f,x' t -,t' rt' o l.tftg- = ( x )rr
5 +f,x -,r.,,. e1. ffiJ! - = ( x ),naufld ;ce.€alq
., t x > 0 n{.nrsou ac19p elac od norgeld
[,, -,.,iJ:2#- = ( x ),,a,{re1 9,roqfq.rud rcru or Julgrruergrp eur-e1sp (3 61) op ur,ruaz?soq
r t l'9lsx-x'rlJ'nE=(x)-N
x ?lslur ̂ nzer A luautoru 4^oq^qo ruq?m (9.61) rcnrao: or4
f'0t 'rqo
(ee '01 'rqo) ureueue{q tu}cp?ures ?urgaurl 'u,{rrtods ueV1lr�"z .t ,tar1 h4usou oqglcneuzyd (x)a p4rng noiroq{q.n:d au! orrBls.
(B (q
L |SONASd V ]SOt\EnUd
-082-
,c + x. tc * rx.!-3:82- = ( 2s)tn
- t.'f .=,2'c+
zx.=;-=(x)!rt
eu,(1d (g y;r; g) lyusou {4cgeuzud e elod .1 ortr .?luBtsourusrlod ur?p?p)t ,r 1e,ro-6e1m eulmu olord .llq es ,ru ol qJlul_ElcueroJlp olqc?l ,(EEqs ?^pJd
t , t f 'r-=(o) l(e-xl.l-x. ' 1., = _ = (x),Z,a
L' ct.J I relod .g ord u
(J) !'r'a -,.-.t-V' Sl
-=(x)'ia
alod .; ord erugrpqo (g.01),&.s? ?^oq,(qn:d scruaor pl_?rouelElp op ruezesop od
I\e-x).J-x.;-=(x)"w lt'l
, U >x>e)11od'7're
x -=(x)"W
tuaqeg,r euepm (a > x 5 6) alod '1 o:d (9 61) r*rlor A (x).11y x:qvnl af(qr.gl .rqo) nops nol?rrreso nrlFrsou Fr6?Fsz pudgd org '(g) ecru or zh,o = x flsFr ^ nq,{qud gp;,rodpo 19 quqsuo) .(rJ = b),i 0 = xslur ̂ rurud rrrupe+s Jue?o$u nl{n gp;aodpo ,C slrrBtsuol ;up.6a1ur e? .flrssd ef (V) *rryor. Z
jfi ,o*o-(t'zs'o)A=-"A
l'e g'0 - n'o'u x
s - (x),naui(1o pnapo
flururpod z eur;2m .Jwuurxeru n{Jusou qAq .rud ef ap1 .o1s;yr1
fr.l
l4 t.4 or-�)'x 'r'?'os,
Lr^ z^ I '--
t'o-E--(x)A
l!.r, * ,l .nr_,l.lr'z'oot - ,-, -l/',
- 7.
u, - L I-_j:nE_
= ( x )^eugroqo 2rrerdr,r o a
.8)t e (x,/,a ord cruaor op aulDBsop ,3 nlu?lsuo1 ;u1u.6el{
?xlNsoN J)vwaoJlo Ot
- rtz-,.-l ,t -,].'r't'g -,.
l,q ') r'e.t r
trprn ourpd aure4gu 4ed ,{-14urpod eqn-rp 7.g : r9 eu,{1d pnlpo
t2+e.t3+ r,
' 'tn,trr'-=p.t3+ r,
' 'tn.1, n -
e = x ?lsrul A fx,/n ac{urg lsolrfods etn;pef,{,r .t e>lulurpod
tc= tc
'r*," t|f -=Lc+,e t 'tn:1, z -
(x)A aryrt:.J,lsolpeJq afn;petXrr 'g ?)iuFrrpod
r r 'r'a.e
lre- Jl'-;=;1 ='c+t''g11 'l
re,u q,rerdqr od acruao: op1 1;ru epnq .al = e -, rl-a:uuepe^ez
| ^ ^r '"*t'c*llJiu #rl+ ='
oureu?lsop AfuFupod atrolet4o -7 7
g = zg arIld f>p;mood g,rofeqo .1 7
(e)z^:(e)tt'e=x't
(e),z^ = (e),t^ 'e - x t:lfq.!s
olod gqo as ap{ '?lstul ,r ,{.rep a,roq,{q"rud rtsolrfods ? uso{puJrl z aun?m X4u;urpod ?^p IIIBO
0=0zA'l=x'a
o - @)t^ 'o= x'i
f1u;urpod g,rofeqo g,rp auglslz todpod gtslu 1',$prupod g,lofeqo q,q? ure{ac auafnqogod lrge1suo1 qcnrpergalur pac^m ;4
' *lo5; - * r rul # - -- ( x )z,aeuraue$op, t x > e o.rd n4usou qod ugqnrp ,r uof peld .eraq
.(q) eoruiror ;cer8alq
t tsoNtld v tsot{anad
- ztz-qcrupasnos noqo ^ e'{urs Bruau*ru Aup'z ;usqqfz str ",J:ffi:""ff;:il ffiffi'::J; qttupasnos ,r a1 ,loupoq unu'Ao?m ureq,{q*rd unul-Br,,,*eur urJulg)tol s alod eu?Dotq 's nnod u4ll?^ u4 (9) acruaor z aur;zgqc,{,r e guqopqo aruefndqsod (g > e q-eo 11od urgqnrp l rrorrq J'g^o?m lld
( t \ ,.'r.:.c i=-:-,,r\Q'e'e+re1 q-J
eu,{1d q{qn:d ;wzurrxaur o:d (g) acnr,ro.r op pezusop od e
- it - r''lq.e.z + ze
= --x
Pqpo
xrnl nqolod eurypm (g) acru^ol z Ie d ,q < e q.q_eurgp,epodpal4 .t?zglop arqal r az1 7oc .;;1ap af greq trlpsou ps_eg gl,r,(p7n epnq e;-e1 e,roq,(q.rud q fupl acrur?uls e^olnu a? l"pgllodpeld eruaTr.rur npudgd oloqol n nq,(q.rud oqJul_"unxertr Ju-B olm IId
ld -f'rE'sI n- r | ,et
-=(t)'d'
(H)
(c)
(a)
(etxt0)[d I
G)
(O) arru oi op, =x ulruez?sop g ?tsJE ̂s
| ,t .l ,r.E.g
li-t l1n7=rot'o(a) e.ru^oJ op 0 = x u!ruezgsop arm?m y elodpod n d 1eq1
F
I J *zl_J*zt."_t -]'r.z.cLx.ze ze ,r' j'r-r'( l--,.p...
-(x)"A
F-
I zl * zl .r* t .o_.1.'!.n.oLd- 7,
+V' e - z I T; = ( x )la = (x)zd
q{qr.r:d e ruagoleu laqn ord af ( > x , e) lJod .Z aA
l* # ,],',a',]=(x),aI -z!-., - -!! -, l.'- r!' olzi't- d-t I ts.;=(x)!a=(x)td
au,[d^ nTxtsou qfq.rud e prepopu laqg o:d cnr,ror op lqsrol qc;r4e.ftqur unraz"so(J
?vtNsoN n@ii.di
-882-au,{ld acru^or }zoq.peld op tmzesop od
(x)'rA.:__::=_=(I)ro
(x)-wef (e I '6) ecru or elpod nzalpd pts;ur uraulo^oqrl ,r, p?deu 9no1-uuuo51
^e+zI1=n
tueqep^ (9g Z) B (SS'Z) cru or elpod trdpgf.{^ az1n-1Jusou,r gsopldeu gsooupolqd r€reue tu?€uuoJeq'lsolefdeu nosooupaf o gupaf as eq '11ps1fz aursf nqXqo urgro.rd qd nl,rusou qsopldeu noz{Jeuy
ut 0l)lwg .,ne
lJo'dsar -" =tA
neBqep^ Joortrod tnzag ,l 'dsar
, nza{ ̂ nlrusou lue?oleu loqrl dse: q,{q.rud tr?m erua?Bru 'ac1fo.ap 41 e',{11s guggapsnos nosf g ep1
(0t 0t)(rw, ,tw :.J,... ,tl)n=n
qlurpn qc{,rops qcr;fgu,r rc4ng olef nryusou rrS.nua Ju?sruoJap 11-aq;pgf,{n'ace:plde q;Jrp ord ,{drcrrud ;laf
aura[n1n]rde1a:7 Bl]usou lreuuoJap tu_e^o?m gd eurefrlnod (Sg Z) nrp,\ n oueq8qseC nouezolpo
1g.ria1u; ̂grqol{l - ,{19,r ,{,rouu;J?;1se3
'ace4lde
;;fguceqo qcrfaf aurapa,rn e eu!{ltzor ,{dntsod orfi 1u151 p4ta paounl1tpso3 .,. 1lznod € lllpo^poaursf n1.{rus e nq,{qo 'run-q r;d 'nqel ,r qlnrd usolefdeu rrSreue ruqeur:o5ap o:d acru,roX 'nlpsou
?tslur.ur?lr?m ^ er"nuoJep lfnpm as 7.{p1 'Apqe1 eueurlaz rlc 1 rlolqcXl nopa,r e ylgnpoupai u4;lepagd
nosf 'dnrsHd rurepp rfe,rpn-{,r e:e11 '.{po1a;41 fis,roe8ue:8e1 u/.rmtrftmu ruedntsgd umljspls
lrpenpu 3ue?r.lur 'fisuopneu ?131 g{H 3s ntxel3Dl 'dnrs;;d
{,roroqa,r olual lrs qclpfqua ,{q_enouo:
rcru,ror ,{r_eg ?^oqfqpd arru or 1rpepl,uz Juazo^po ,t !lpr',{^ ausl g4,nrsou peuuoJop 1l_u^o?m I{d
B{!usou .rue{o^le{d luolrn { e!8reue,ru?BuroJep !lKn,{A €'0I
'lu,I"q_Bureu Bqosldz B p{n4suo{ qcFl?ols qcllPp r B)lrusou }u_?q-eul?u E Juelo^lslo
p_enopm gd guallpor ?uoeqoel^ saup af e rel)pnqJ rurBJEIs gur rc^slspo u4gpp ̂ guepo^n "pole4'IruuuoJep rue;e1 i(dqsod lfn?qetn Jue?lFz Bqosr.rdz e pllusou 1u9pe.;odsn gqnrp qc{u.n: n araq '(9
91)ecru or rul_?rcuareJlp pqn fu eu qcfualoJez'poptu qclFI"P oqouru olnur,r,{rr o1,{g ndtgsod oq?sePeln
$ourad u lsorEpqo e1so.r qod rupod rualqrgp olod ;ppp yfu4rwl 7 nzaln:d nluouoru oqplcqsrpp tnou?uz oqeu (mracrfoirp e vmtqgvz ur,,{lrfods as ersmquro{ oqeu '1s qcflgueso atn) qpsou
Jua?tr"z nqosBdz noupurT '1od nrpod 1 {uqosgufonp af 1uu1suo1 qc;up-6o1ur lepg 'fucerd AVEI'Arya
?^oq^q.rud 3JruAoi lrq_ErruereJlp !r!?nod qd at .tqop dfl oluel 14 '?rrrfpq^ of npeggd oq?uepa^n Z
L tsoNAld v tsoNznud
(6 r'ot)
(tr or)
(rr'ot)
(qlol)
(sr or)
(lr or)
- rtz-
* ou--"'"'
aa:dfap (s 1 s I ) rcru,ro: euraft z-nod " r, .r;";; il::ltffi T#;:il?#]*
'::::r: ^:::?tto^
noru?nuo.zaq ar luoqa^ r?rnzor grrau ap ruoqa.,r {nqruu ruqcaqr efnurqez '.'r,',1,' ,i:::l-:u.u^:t"
oqerro:poupor psoqtsl' e? 'poupurodgd n'rorz ?qen ef ruo?olsu roqB 'dso,
TY,d^:TffT^-:]bT '".'-*lls nol?.oeso o[ pu1lv fuo1ts fdotvtoupaT'^ Ansod erypelq ep{
::::,:,"^::-::.::T: |.-'] ,j. ru?u or rurul?n oqa^ols po rue'o.o 4aoqrqo of 1xl.u naj '7ptga7u1 aruqoy41 eunn[nu (S t.Ot ) e (91.91) ecru,ror rLre,rr e,r (I t.Ot) ̂tq,r faouerpqss3 n^adn
* 1,1'.ffii,[' l:,n{x)Pu=ffi
*ru!!*tfi 1=#=,"
'uaJ04a^
a?pl
epl
,{tp,r ,fiouerJ?qse3 z au,t1d nlurpr,r oqeulo^oqll ru?urs eA ̂nsod
("W' 'Lw :-!'"''! :x)"w=(x)"wg4up9 qc{,ro1s qcyc;qosgd qcapn ;c4ng rureeurl ef /xJo14 ruaruour 4^oqfqo
( l-) ,n - -xp.(x)r"WI. ' a'c -"'ttn
9,r{1d,.{,r (61 61) ecruaor z qed lnrsou ficgeuzgd o16 7 n1;usou,{49p 91ec e{4t as ecz.detur ?ura?qd
(ct ot) \l ( x )'r "'' z'zt=xe (4-1fiJ i=n
urel_e.6atur urfqcnpoupaf nq,{qo po n4,rusou tr8tauo Ju?"EroJap lUp_?I{,r az1 prru:dl od eqel
(v.l
(x)'p=zp.rp.rIll
?vtNsoN sovwgoffidi
-a
-982-
'ps 0l
'rqo 8u uapa^n af (5s 01 rqo) y a{odpod ̂ rc}fo^p n olloirpef
nlrusou rua?rpz po (x)totu q?qpd 'qS 0l rqo au uepa^n al (x)'W q?q$d (S'01 'rqo) qrgrodpod
no,\p e(r orloue?oln BJ nols oqauaq'lvz nlrusou oq?IcDeu.zud v elodpod ̂ Iua?opu IsqB eu:e?rn
'! Qlspr ̂ rJlqosld ecrfo^p e^o4oupef looruod /x/rour euafn?m ! gtsyur,r Juaqoru leq1 rl-eurypelH
'^t?^ ̂^ouurt8qseJ pqnod aurgd 4au yl$rl B llf?^oloqod af ,{11s gno4oupat looruod ,(qol4 ;uafeg
(rz or)
,(lrs a.\oltoupef ?ls1ur ,r q,{qpd aurrppqo '(31 91 ) acru.ro: op (02 01) ? (61 01) fqelz,r ry-arupesog
't > x > 0 uep,r:elut fugp nosl
azeur ruge:8stur o?pl'lu?urau n-j,nrsou oqglec nqEszor A es ((02'0I) e (61 91 ooru,ror) rclurg re^I
(oz or )x- = X.,,1,- =(y)aos1
(ca 61 rqo) qJusou rcuol eu nqfq"n:d
oqeu?patq ?lsltrl ̂ lrqosnd 3ur-?q.eu notet-] ",1,, A11s 9,ro40upal po (x1aoi,tt rueurou {rroq{qo 1ed e
t'0I 'rqo
(c
'!3*=,01,t(*'u)i+="^
t --t'1,--1r1oow
i"o-''f',
L tsoN/'fd v tsoNznad
-gez-
l^r, .\(t t z'! /t 1 -aT-I xP'l-- r l.lL^P lt-/J 6 -' I' i
[.* (!-,), :!,1+=',1g1 91; no, op e,o;pnsop {ge1zn euqsrT
!-,=,*,*.tgpClnI tx> 0 n{,rusou,(1op nqeszo.r ur?le, ̂ ezl ,,1,, aclfoirp po (x/ow f*uo_ ,tnoqfqt}q
/l \ z
v-r It ;=(xrw-
*"qw^l>x>z nl€Ax)lu ^ ex.j_(x)'w
ord et (x)owoc*nv s7010rd .o*. -*ffihl,f ;:ffi1*"J#TffHlr"
s'0I'rqo
G-li'
M
- Ltz'9'0I'rqo
o(o
'Juozo^po lurFpouPerz
ord uef urerz{rr gur :Juetal efnzeuroes 4efru n4leqod olor{ot sqlon 6 mugls,G oqg^oclrPBlnos
laleqod aur11o,rz lapasqr fso e ,{ryrHd n{2asEd ^ e (x)!out ac4ng Aueaull auaft?n {A (x)rout e
(x)"1191c1mg fqgqr.r:d auruu (9 01 rqo) nlrusou oq9:lcueuzFd e,{419p qod n a1 'aurfapggodpeg
(x)'r1Vf ̂=t
xtu
'nlnrsou nzeprd 2u?trtz ? Ne?guz nqosgdz eu -o1sr,rgz af u n1,rg1 noqo,toql re,roaerpagd
?ucoqo o?Bru (x)b ecryq gqnjp t"qur?q qc{,rols qc{,ro4oupef po /x,/rou, $uaruour qc^.,roqfqo
Xqpqn:d ofn relspe;d u prryou1 Ay4' at '(x)tA ldeu ';c4m3 z uvyat aq 'af nurpnos oloqol psorlsgl^Z
(ez'o r )(t)
xp.(x)A.(x)tt[ =f xn
x rueumEre ;u?e.6erm fuplods lluur eq'lriurg no^p uoulnos ef (91'91) p.6atm ̂gnlol l
epolau grp;f1eue-olrgur8 u,roq8rlpran
'r'J'gl _r,
zl'Jeu,(1d rua1oru loqq o.rd nn4t r prcrdr; e qcpaur r{ofnsp ̂ rte.6etu| od
lrllou I
tg1x1o1q -
(zz'or )
- Ltz'9'0I'rqo
o(o
rp1x1o11 -'ruezo^po ruolnpouPelz
ord uof ueu.{,r gur :tue!5l afnzeutoou ryfru n4eqod oloqor eqlo^ 6 nurols^s oq?^oJrupB{nos
larelod eurl1o,rz legasg fso e ,{Tugd n4pesEd ̂ e (x)totu ac4ng Aueaull eurefrTn{n (x)roU e
(x)ow t'{{irqs.{qpqpd aur-eu (9 01 rqo) nlJusou oq?IrqEulzud s f19p 1od,r e7 'autfepgqodpa;d
(x)'r=(x)h(x)"w
'n:prsou nzagrd ;u?ru D mezqaz nqosr.rdz uu 91sr,l9z ef e q^ql noqo^oq1 p^o^"lsP3ld
?ucaqo o?nu (x)It ac4rg 9I{nlP lD{ur?r} qc,&ro[s qc,{,ro4toupe[ Po (xy'r"Ur nrueuoru qcfloq'(qo
,{qgqEd ofruruspa;d e ;ru-earn1 Ayqt. a{ '(x)A ;deu 1c4m1 z evpat o1 'af nul?nos oloqol psolal-sl^Z
(c
(€z'o r )u)
xp.(x)A.(x)ttl=f rn
x luornntre Ju?e.€arur 4u?alods rfeur 9re1:1 'rclurg nolp urompnos of (31'91) p6og 'rgqoyrl
upolaru ppp,{1uue-or1cgera uaoulSeSaran
'r'z'gl -r^
,l'Jew(1d ;uapopu laqg ord nzB.t4^ ?^?ldl z qcpaur qc{rmp ,r rJ8.65lul od
lrl!o.
(zz or)
-882-
(ry)!o41. nyr= nVp.( x )ru I
(sZ.OI) nt9-6elul Z
t'*' nr.' f;3 = xp.( x )etu.(, rwj't7 =,^
ntu l aA ${rusouqcficgenzyd n (97 g1 tot) luatpgfih otour7opqatal;coruod psdvz,{pa1e4 (g1.61) rcm,roX .;upurou
rxlpu, $)l'rg Iuolpgf^^ g{rMleue es .'?r6Dr o^ 're'elw ord uef 1qo4.,{,t auoTr.rur .(g7.gy) np6agz llnz^ ^loDl 'loUr.rfb/ urcnos e? '\el/ep, Bu fp?^ llur eurlsnur (9g.g1) ao;rnor ;ue,,rgnod g1
'(9 ol rqo; ro. - Urt tu,
'tV eqrolt W eW ?rsttr ^ n\u!?tj o.B^otls og^orgoupa[ po t luawou noloupotl e(x)o111 no4n14y pod ng iqcop 1|sorllp^ uau!?nos gpeqeu pt6e7u1 nryqoyy ApaT e4
(sz or )(el
tout.uv = xp.(x)put.( xf wl
au,\1d (x)1?r8elur ord ('Z oly ".r*-,roq"fn op nqsp^ olorlol Juez"sopod xD/ ̂qcold ?tlr-z^?l nqolod atnpm greq 1rx ?lsF[ tt (x)oW ac4uryqoupoq ef (q 9.0I .rqo) lou, epl
rou!'nV=P31.tx U
euq?pqo (sz.OI ) ecrrr^ol op ruazesop od .ry ,{qco1d 11 ?$F?l nqolod orn?m tx e)l?3sg epl
tx.ry -+tnre^l e^ etsl l!{p_el,{^ o4 rws luewour nusour.I .nrugrs,(s oqglocnrpe;nos oqguelo,rz cmoe;oci
eso I '(?9 01 rqo) (x)ow no1,ru; pod Iz-EqrBu es gretl- .ttv ,(qco1d gueruoru ;ur.eeuq ef ryS "prl
r\)(ry)(sz or )a&. ryg -'Vp.x I .nfi = nyp( x )Pu t
eufld nqepn q,rerdr,r e (g7.91) aclurror op Frozesop od
D3t.x =(x )ptu
ot-.pl q9 0l 'rqo
lcouod oulqpglftr (x)nut n>png'(89
01 .rqo) rV ift{cold lueuela ef r!ry} epl
(ry) (o) ( t.l'vp' ( x ) "u
I = vp. ( x )Put. ( x )" w [ - xp. ( x ) a.( x )u j
re,rl uu aruepa,reld .9.01 .rqo lcouod .(x/1
1_u.6a1ur lgq64
(rz'0r )
?vlNsoN J)VWAOJ]O'0.,
-682-
s ,{D/ ,(qcold e{ueurBrz nr8^olfedsal lsoqnu 9^41d,{^ ??u or nlgrgelu 8^orqohl Z'$)o11y noTr4tn
pod eqcold r;po,rgp qcfuapam qce!^ az Euel?pzor ef ,{:eq eu 'qco1d qcrgyp lapd $o:1ac l1eu u apl
'(qoficueuzud qcarseq od qc{ue,rogdnlspo ;deu) plJusou qc{:lcueurzudeu ;czuuo;ap papel
qd r aruaftTn& rpE^ 4^onnos ?ll-rz?l nqolod p rlesqo aul^ou"ts oupeus qc,,{raq n'fqcold }fnpoupefeu (x)oh! no1,rg1 pod .{qcold Juolppzo: r]sorlnu z oqau trJeualu rueuelo7eln ,r rce-6e1ur o:d
Xry;upod auapa,rn Xugqds nosfau oTrpsaf lrold a.l^ eu aurefnlgpzor (x/.14 nol,ryg pod nqcoJ6
(8z or )
Qz'ot)
lz F. _ ,=!Lou.lnv. r..a7=rA
tu
8'0I'rqoqDllu -y : oll+u).Z -t, qDLru -v: o.fl! -rx ' u t.U '- t
-, - l+u-'
L'0I 'rqo
L=i zr,.-Itoa.lur1 . t,a =tn
ut
(t Ot ':qo)
?$f*pr Jfstll rtv fq3old !?l!p ep{ lrolsJur ^ fxlr'u, ecryn$ rusloupoq nosf 9:eq/rog, rusloupoq lrqoEu ef 9r4nu of Tuepqd hry ,{qco1d 11gp w ry {qcold Juel?pzor 1sorqoru 9,ra(1d,ir
.3!
(rl!o.
ilJ
7'uJt
I'V
I
I
,,1 -t
\ul
L tsoNASd v tsoNTnad
s n-Itusou oq?{cgBrrzgdatruDegs pe?opu JorE errJilotrqs ,$opur ,{,roqrgepqoJo1 Icortrod
'D6 01
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fs u-?u-s e^ ,,r., nops nolorpoupef 9ue1o,r,ft prnsod ,{rypF nosf ng ,,,1,... ,rl ,$VIF2 futor{,r ar,"od atv2
(os or)* g.uJ * "' +vzg.rJ *rtn. ,! = vn.ur,
aufld plqpn qc,{noJrs r.un96,(s noqo perd 1sounorord (1g 91) Aor ?ue^otrgop ',q?^ oqqr.g elpod 'osel?l uu ;cyqosr.rd uf -.. aJ,tlmpq eiroJrs fuqcepruars^s fqnrp 'r
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n{,rusou q,{qnld eu {1rs ,rr,rfu,lnosod ,lJ1n
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nul,\or nopzzl o:d aruafn:ln lJ?uuo;ap ,{14o15 nlusou aso aqapod { ?rulol ?urloJ,r ps qc{upa1s{,r
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po nq^q.yd {als84{d Iup rr.0l =, qd o3tuqBz 'olot I o nlpsou qfqEd lqtg,rz es rt.S = i o:d .gdeu
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po nq^q.rud I urapi[fz^ ,{ps rcyfe,rnosod po nq^q.rud lpod {rugruoci a[n.;m acro,rgz ,i ualp {rJn:q
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ef e,relsnos gua?ppz olryI (e1 11 dse: pI II rqo) qazeI qc{upe1,{qpeu qc,(uguerlspo qcelslu
,r yqosqrd ?retl'X l.{Ear ?ule?^ flurpn [u,tro[s llurpfgu,r 17pez as B^alsnos JupBl{_Bz Buelo^Z'nlrusou ytnuqord
nureprx ?Aolla. 1 e qce.rodpod qc,(uzn11 ,r g:odpo rlol.a;r qso{rla^ ?uleleqpeuez npellodpeld
I uapelqz^ aruafnz-e,rnau nllusou rua?oln ,r ,tqze,r rcyfepy,rodpo rurf e flys ;upqear 9,los6'{tnu:1tarr
lrusou !rp:n Xlcqels - cI I I lqo su ?uapa^n
af nlrusou oqeu?^o?sln ,{,re1snos lupel{ez E^U?ruatp IfpC '?lr?Jn A1cr1els ,{,ra1snos lu-elslz op ?e
r;fods qc{ulo,roqrl uruurxlupo le{slz ?uol eue?lru n^etsnos tupeplgz noll?rn flcrtets .gu?euzoupef
rueu {BS^ ,{,re1snos iupel{sz ruo?Jn noqptn tppn1s nolulsnos af 9ra11 '(q1
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o=""tu.'"vK=tA
re^l r;ur epnq X xlls ?uspalq ruprus e,r ,rnsod ord u4lnrrpod rupeuuoyep l1rusou ficueuzudeurlapeJlodpa;d .llly qcold qc{,rrpoupaf 2o41 3rupe;od qsoTla^ ,(uapeuz,{,r Tpuaor nosf n1z-zrqo
olurol BN 32'11 ':qo ?u 5f ,,r,, AI:lspo (x)rour ntuaurou oqg,roqAqo q?qBld'xslls olef 1s{urs;clfeiulolrs no^o)noupaf euaqguz e^srnos lupepluz at 3g'1; rqo ?N 'X rculer s J
'0b {uoruolq Juo?pez
t-..t1g* rt I f,h
= u"t.,rn']
,ttt''x'i
tI,Z
.Z,l'x'it
ZI,l'J'7-
tt'-z
8,t'J'i-e
t-z,t't'T-
tI'-
8,t't'i-
,t'oa'!-r
t'-t.t ob.1-I
Uotu rNVuoW,wVI
I'I I 'qBI
L tsoN4sd v tsoNznud
'r'3e.t
'r'3.2
zE'6
- vgz-ocru or auq?pqo p,rerdn qcrlefe (g.t t) u (s.t t) ecpaor op luezesop od
'r'l-e -ug ,.
'f='tr_=rrn ,.
'f=? __rro
te'6 _ zP'z e - ll= = trg :
'f =3r!- = ,rn ,
'r'3'-7 _ = nro
ee'6 &'rl "
,".9eu4,rou4s ,(1u7r; rudirols nn {noToupaf nl,rusou paTpuz ycouo6
d 9.221+ rzg. r, + rzg. g + ne g. yy -zd1 (s rr)
ou,{1d uodqsod rufuryd zd IeqT ord';deu
ry1 prnsod eczodradns auo{ez porrod orngd rsdez arua?Bru ?Ipnl ;ur?orsu IarE oqeu q(qg4'glurpn qc{aops qcJqlgua qcapl po 3,msod acrzod:adns vuop ez r71 n nsod ;uelp.sfd^ ?ruUd eurg:pp
(s'r r)zLg.zX +LLg.tX+ !1g.7 +ntg. yy= 11
,(t7,r {,to11a,xmyy rcoruod rcrulo: q-aqr;le.ldn (ecrto,rp oqauAps) / nlurgn oqelops ruaurs a,r rqosgd Aarl
.1ac11onp oqeu ,t1;s) nTrr?g oqg^oTtoupet po (acrforpoqau ,{1;s) ., rt-lur?n oqg^olrs ru?urs eA (;uapopu IorE oqau ,rnsod) ;ua;o,rp1d af n9 poufeppod ap 1
$'lI)ztg'211a trg-r11+ rtg.7 +ntg. W = tA.,L,
n{m?r,l oq?^o[sorl?^oltoupet po qce.rnsod eu ps qclqfqrn *te;rd e ra nrnsod ur_aupapfi su qur?g oqgno4loupafacerd lsou,to: ouryoef,{,r ,{1p,r oqgag ;coruod e ,X ec{BeJ ru?rrs aA n11s nololloupaf arrrlp^Bz't( eJrto^p ru?urs eA ru[msou oJnrpogs Jsa?opu lelg at z6 e ,X fgs ru9urs a,r qfq.n:d ,[ ,,tr epl
0-zd e0 --'A 'r
-992-
'(q1 11 rqo);ua4pez oqgllfods (x) g1syur ur?u.eqo ̂ nolrs no^oToupaf D (tX't11) cr..fonp qc{uepalq
ru?urrrs aA ruracr fo,rp rur{rto4oupaf uulmos roq2e':1.rl.z etJrypSvz '19 nsoufuppod 1pm .rgoru uoqc,(qy
0
0 = o g., X + n g., X + te.,z g | . oU =, az!t
0
0=.t g. z X + t, g. tX + xp.' L g | . o6 - td
irt
maz-urz ec4ng o:pf
augp_ufA,r ;ualotuu f1q1 qsFnrqre^ noqo A rDfrusou tua?opu ngrl $oupoq no^oFu ;fqpe[,{,r .ere11
g =zd :z.a Ze 0 =rd) =t.A I
ruru44urpod rur;u?euuoJep ?ur?m ef lsorno^ qrlfaf 't( u
ry' turactfolp auryper{su unrnpe^ Aung '(Cl
t t 'rqo) nue.rodpod ur{,roqnop pnupa^ noqo nopunpu'ldeu eurelsu ul?lsAs FrpBplBZ rcrfo,rp e nops ',{4npg rur,ru?)pal Bt'u?^p llpenpu ezl FnrDIlo^ gp?Dt'Al?meu Alaqels ryqe^p ef ruragnulta,r louo{ Etrr?qo s Tusou ue?Btr ?u af ep'11 n>1ze;qo ?N
t't I 'rqo
'qg I I
'rqo su ouopo^n 3l let'ntuguapgqodpegd qord {u?Edo af lsXuls 1tuge1n1s ytal aq \wunv. zy ecrfo,rp n orpgurev gu:o@2
(B (q
" t.1_=,xtz
r'E='x
arufid e.g : yy uz ;uozzsop od pnlpo
0= "X.€ _e.,X.=_e. J.z + No
0 -' X. 6 -e' LX. I I -e. J.:+ W. ga(
L tsoN[ld v tsoNTnud
-992-
'(cS ll rqo) X Ills nls,{us e^ ?eu^or,{u'rud lue?Blls ef ff u.12 lrln pn(q9.11 .rqo) ry.,(gs tIg
L,n1s,{urs e,r n4rusou qfqrud "l
# (y) a:ruro.r {uurls e,rerd u.l? lurud a4.9upedaf 9.11 n-prqo 7 "ne
(Y)'xg txeengrnne=
txe
neoMld ,Q9,r X,roneq3pseC rrrFgnod
on+'n-nl4 nl,rusou u3raue Js?suuoJep
e a4 ,(urz-n:d rrS.rsua ppeuuo.lop eu eutn?pzor ()Lrusou s sul?n:o n iirepnos utraue Ju?euloJapno^olloJ (cg'll .rqo) lpsou nuqrud eu ;qosgd rualurpn rnfufelg.rX nols ou4psnlsu lJusou?u leurcq lleiu (. .qE
l I ..rqo) rf aueurfapo .fods
fup qpeu ez ppgllod aurepnq nouz-rud ;ue;dapo4 'gttpmatt ,{1cqels noupef ef Bqol0 J alrs su Usolsr^sz ^ le^ Au:.tr:n d Jur?"ps lsoTle^ W! gu.4lezy(rg) = a1 af XqTnrd 1soqn1 .no.rodpod noue?oF 2rqrud s lusou uepo,rn ef 9.II ruppqo eN
?tr?m Ecqqs ,(qo1g n o4ef uadqsotlttt,{ufa1s (qy 1 1 .rqo) nlrusou ,ugrl-"ur?u e ;ua1o,qa;d lrla{ eura?nru .rX e ,X ecrfo,rp q_eu9u2
'eu^Bldsnosfau qy 11 lqo "u .X E l;' cllo^p {lsfius gnupeqpo a7 1lng.rozodn lgdo equgrueu eu:ode7
zt'ob'T-=zx" ,t.'u #_=,*arrfonp glrgmau ,{1cgs$ eulapp ruepod{a pn4po
o=,, T l.', + 1.* t* l! t, i o,u=,,o=,, T ?', + l.* (*.* ,-! ,)j,j,u=,,
(,t I\'r.3 g -- l' '-=^"o :fcx x) zl I "
eu(ld zd e,d old c1u ol op pez?sop od
( 1.tL. t - L. z\.' r' 3 .2 =,,s (rx ,x' x") zl I'''l t
=un'. ,rn='f'l'9 =rrn'r'J'€
-rrn
ou4?m ?udn1sod rg usoufsppod ord
AylNsoN jlt?unaN AyCuvls' u
'LgZ-
ag't2q=41
auat?od,{a ?,rurdr,r e (g) ecru,ror op Juszesop o6
.. sa g.LX * ta 9.7 =uA
ne,r1 el psoufeppod ycoruod eu41ocf,& (g) ocru,rot z ,funso6
txe
ne?Ipnr
txe txezne-=TnA
au,{1d olorg r;'a11s guapalez gord
afnlptus qcru z uopef 14,ru '9u[e1s noslXansod ot{1 eqo e7 "M1dfa ,(ur4n:d e nl,rusou gsolrfods e2
s'I I 'rqo
,l ''t (q
I
0-
(g)
(3
(D
L tsoNASd v tsoNTnud
-892-
g = x(r--) n * t(ru) n - fu-u)n(r rr) :
6=xzll�Jzn=zn
,ftodpod gnurfapo Fqclso ord iquJurpod ;upmto;ap ;fenr nrrl fuqopq6f;' pleer qc{uryrzau qsaF^ po X }]Iear n:gurs s,r qfqgrd e f hg rXZ = xr/. e
(4 ib !) gqpn qc4^oirs rtctclqos4d q.{^ po X o.{ear ru?rns aA q,{q.ud ef rg!3 = rri ep{
0 = x, tt + tr n -_ t t n. ! y!+ ! L g. !!= rs
puecg.o1-z aua;ydez | ?lsFu ̂ ruodpod ord qu,nupod;ugeuuoyeq {q9.11 .rqo) /XaJTBaJ eurarzau lqosnd op{ .nlusou qcerodpod ,l rurelu;urpod rrlJu?EuuoJep uue;o,r1 af crurr.o.r 1g- u) e^etsnos rodpod ralod .{.,ro11ao af 4 3prt .(Z - u) ualrpzor uuep apz ef lsollprneu 91cqu1g
(9 1 I rqo) rodpod tuelpod ur,,{r11a,r s g>Jnrsou n r nopoq,{,rr s lpnod rf ez1 .D^olla.uxln_D^orqon
Dponw ol.lef efnlerzo ds (Blallu!? qrAolul?Ho f9 ;rsoufuppod acrrydu upolaur guepa n
'r'J g,-'sg
(e ?g'I I 'rqo) ?o qaf
JTei+"t sr "\
J 7=ri="^fuqn:d papps lrrouqs eura?Bur JufN
J'"'l . - 'Fili*' .r.9[ =rn
I '
I n
eufld 1, ngs o:d'#i=*' e
d1aE86J' J ,
----tE^'J-='Xtl
el
- 692'ef0 ?tsltu A nluaurou
oqa^orodpod lso{rle1 Jl-Bl^z Xrnlsarluu nosf Noupalqald;9de1 old ep1 'elod'€ puroq'Brue€srp qs-P?
tupods:,r ,{uapeuzeu nosl ;ur-uauq ApTl mre:odpod rzeru nosf 1ry gluaruoru qcfrtorodpod po 4lueruourqc{,roq,(qo {qeqr.na (cg t t 'rqo) ,{Lrusou aarpoupaf ord ?qztsoures ,{uaysarleu nosf 141 ,&uauoru
nnfaorodpod 'tntlpvz po e mrurodpod Ve'cu 'tneTguz oq}qfpu,,r po $u3urotu qc{,roq{qo Aqpq4:6'{upeg eurgpgllodps;d 1s,(rus qt:fa1 'fiuauow
1tu'(dotodpod 'r,'21
- qcerodpod ,r rurcrqos4d 1ry nracrfo,rp lp?Jqeu as gue4s g,rerd t 9na1 od n{lusou ps-?? q34u?ue!sPo
Aunqf (Oe t t ':qo) qcgrodpod no^p o us-"? 9.a11toupet Bu rDlrusou Jual?Pzor ,t 1c;fur;lods'dnrsod
Acluqcat fqcnpoupaf 1;z-ttod ?{er az1 1g'1 t rqo) rodpod tuot?od ut4{la^ s gn:d rueser u,r
0r!uaor 9^olueu!oru!{I e'I I
(olrr)
(6 il)
tu4?Jn
(s'l r)
ar{aer etr?mau Alcus$ eur-Brrzau au+lp-?C{,r cru,ror qcflcm:qe8p qcnuvauq qc;rnrgpuns ,ir4snoe a7
'qsoq$ Ior]?ur af [xrtl erq"tu apl
['rr]=,-['s]puld no:aq ord 'qsoufzppod acguur ;rz:a,rur af ',[xg] acneyl
{c} ['g] ,-['sF={x}
'mmps run;f9ua n:grsou peTpez nqosr;dz su ?Ft^gz nost Fg] acuutu {1,u6
/ \ t''r 1'g _fia\rc_ 14_ ,lJ. ts
L't I 'rqo
(t t I 'rqo) rcrwror lc1fnpa1s9u .IxIpo^po [xg] ecqulu ̂{rud o.I4
'lrusou {trqm,(1cps$ - nlplsnos FrpeH,az su qtl.lqosBd 9142n qci0rols qofio4oupaf;coutod
,Qud qcrfel nl,rusou nsouluppod acqeur g^o3r5^l? ?{tr4eu,{s nosf [xg] e p9] arge^
o = {x}.['c]+ {r}.['c] = {"}
lrp , \fp
L tsoNAld v tsoNTnad
re,r1 {qcnpoupsfgur (1 1 1) cmrror ,0ru1snos srdgz {,rocgey1
-oAz-e.odpod tz+t ̂ Jd qJusou Fs9? ?^erd aolupens lur?o,"u tsrlg orlef ̂ute' ef, /ftodpod flsFu ̂ ld nrysou qs9? ?^er rcrupels }ueQotsu prlq 3? ?ueurBE ol ,,trcdpod gqu l nluou aorupe8s $orpqq qcrcrfigpe0fu
uIlt):6--i6' :6= 167 e ; qce. rodpod ,r pu,rupod qcJulzuuorap z af oqpr6 .zW e ,W hrr,Iltow gro:odpod nosf gurguzap .ocuo1 oqgprrro;d a\adVryz u*pm Apol sf g gppu I luauom f.,ro.rodpo4
3'u-=,*o=oN
8'I I IqO
t ?lsJur A "
AXT/NSON trlrQunWTT
- ,LZ'6'I I 'rqo
'l!4^ gufals 6^ ,&odpod Xp,,ro7e'rn es epl '(I I I I) rru o: no,rrpu.ralp of (71 11) acru,ro.r
(zr r r)jdt+zn= ldt+Lne4rryrpod ru?suuoJop s6'l I :qo z eu,{1d 1 a;odpod,r qn:d e ecrupens Jue?oteu
laqn {,ro41ac o:d eg4e1 'Iluauroru rur{ao:odpod u Afu!?tl 1u4lQu ;ua7;rez ;fep;,rodpo dtd e }6 AW
Slpep e gtlfods af :odpod 2tsJur ,r rugusou acnrpels 'zD e tD Al1r lfe4,rs 4le4u;;d e 7; e 19 rodpod
ecrufod5 '{rgour ruau :odpod ?lslru ̂ n{.rusou .rnsod pp4lral ntuozuoq oq"u"1o- po ."tHp,n "t,'rt, 1tt, lodpod ̂qolod ?qlpzox (e6 11 :qo) 79 e 96 alod ruDesnos ?^p n11o1ep1 fpu z aurpurf{n
'ue7;ru, 9r11oas a1{:eq 'r;{,r gufalsau o :odpod uralgod tuyqrqn
s llusou eu[n?B^n urala?l tuu sZ &ueurotu rur,,$o:odpod uxTuDasnos lrue$ peu psolst,rgz af glaq'eJluAoJ glopautoullt ^zl nre^l op no.radr; qcrfel lnrpeum ezl (l I l I) crulor lrelolstses
'n:J,nsou ;us;o,rp;d
B Ju.sq_?u?u le^o?m aua^zr"lu 'Auaruou oirorodpod ot{l ll-aurguz 'zW e tW ,{lueuour g,rorodpod
?ur_Btzeu o:d onr,ror qc1$,1cre;qo31u qcluJeeull nola$nos Fu-ElFurrs nosf ( 1 1 ' 1 1) ecru,loX
(9Ol/ l(x)fur
L tsoNASd v tsoNTnad
'zlz-
rcru ol no^oluaruou4n otd qeveueuplsop ?^erdn od s (S I '
I I ) ,,i{ulupod lu?"rrroJep op (S t t t) e (Zt.t t).(9I.I I) Bqa1za nrezesop oa'(c6
1.rqo) ,tf X=u"s
.dsat'1fx=xrout e qt.(x)Cir= rryp dssr xp.(x)O+=nW?ure?ud '(92'0I
) nqBEA eoru ot elpod {ue?m nost (E.6elur ̂Tnlo4 o1 ef1 ruaprgslur e.z fnl,(n',{upe11 elpr,re.rd oqgulals epod af ,rd 1eq1
'{qco1d g,rolueuou ?upepl uef g-u,q,{rr nlnrsou rueTEuza? 'nulol
I uepelqz^ o{u?ur?rz eu:odez acue,ruol glefgd elpod 9ur .,rd acppegs Jue?o1eu leqn
(8r'rr)
(
lt)
(9r'rr)
(sr rr)
(rLrl)
ft xn rxnt!,.1+,*., t'.1+= *autld Z, lnrsou ord ap .elodpod e7p n ;uapopu 1eq4 otd e
l! *,,,*i,.t t ,*.1i'.1+-= r!0 nllusou 1 a;odpod ̂ 1ua?o1eu lerE ord^ eurepalez ecrlo,rp 9no:poupaf nporaw
eurr,rouels 1ed'(c6
l I rqo) Z! qlusou su I !O ru usou Bu tr e;odpodn^outdD?$aral auratrTnod J6 e J6 Tlrtrj Ju?ulfz 3)
{91 .y
1) .u,ror z gMrdf,r ryf
lesdeu etrta?nu .gJeur rurlo,r zr2 s rz fm fl-nosf'qcpaur qcficqselo n ,tJe6gz ;ue7pe.z e 1ua;f,re;d po aceuuoJep ?pFz^ ,(qB ?Fru Juqa^
ap a[ aursfnTe,rl 'puell?^z puls npe;1,{,1 lsoruoz-Bu old nosf ?6.1 I .rqo Eu guepa^n ,q Feltretd
'l tl ,-
zni.-dn:ri=zP-Ln
ldt- lA=zP-ro
,l7t1-24="a e
Truopgd
.mrq eu aupeldn (Zt'I t) ,rcluloU
,lz_.i_ = , p",1-'�q
ffittctD='p(€r'l l)
ruracTng ,(uapm nosl zo e to ,tqn .(Z . t
.g) yqosgd Tqcru,r 'rodpod (xapur ,'(uegeuo nosf Alueuroru q,rorodpog (q6'11 ',{,o)
ao i(ueqeuo nosf ruruodpod zomruo?puz po ruu uou qc,iroq,(qo fqCqFa {qO.tt.:qo) psg? yupods arr. palqogd;pde1 ord fualsa.qrznosf 1y &uaurour rur4^orodpod weEgvz W ruueuolu ,tq?qpd Iq6.II) ruueuroul qc{noq(qo,{qpqqud 9upe11 1fe1enr,{,r ,{ruauoru gro:odpod e ;1od qcfrrpoup af ryqpz a7 .aurfepgqodpag;
zt,
' . 3l J)D=zp s 'q-"u
AylNsoN j!?an3N Ayg.ttvts' L L
' elz'Is^l ryd gur (61 I I) ernr^or g^otueruouHJ 'g^gll?od.{^ rur?rodpod
ruqhrlloupaf rzel;u rue ̂z\ez or{!!t?u po rlcold qo4^otueuour luaurou flcqels as 9rar1 a4 ',{:odpod
olslx efn?euzo xapur yu,ud Turalgd 'efnpm luaruou ficge1s as ?ul?u ̂ 'a1od
lfnutlep fxepm eqo ap1
0I *s= 4p.x.( x )u,4t I n
tr
*s= xP.x.( x )ao )
rxruo?erEo ursgnpoupel trperqeu fp, -6e1ur suaTr.ltu (61 y 1) rcru,tor n'gt;rz^pt oq;faf ,tqolod e fi9
,{qco1d g,rotueruour nqesqo lcoruod ourgd erurgm .(lueurour lureoul ? ,q-efalm lu^o4lde grqnu Juau'fip Arqcold elolueurour ?tll??l nqolod B qpsqo [-ow-?uz (qO't t rqo) qcgrodpod no^p o qlcJusou
eu Olt t4told qc,{,roluaurour ,tueurour (elcuets) ureaull rfnpm rorrr or gAoluaruouls ̂ .{l-€r8etul'eJnu
{u,ro: (61 11) ecruao:
aloluaurourul ?rre4s e^prd ers zr-tX.. at 'r;,{,r 9ufa1s a^ nlJusou f.rodpod .{uqoa;,t nosl eqqlsal
':odpod 1a1od f,ro11ac af u ep1 'Z - u ef (61 I J) cru,ror qc.{ue,relsas 1e9od eqel trlgrupaf o aruafn;,{,,r2
rorulor eloluaurouru:,r Axapur ,{uqca;,r '(61 11 'lqo) e^srdop alod oupef o eure,rnsod es a1-el5
c't'f
0l'I I 'rqo
,'z't
[u l-uJ z-ul(oz rr)'tzl
ruruodpod r'�zetrt el-?p 'ZlO nrreJodpod rzeu elod ?^p ord eJru or
?^olueuourl+ eu4lslses 9 l I rqo Eu {lusou o.rd paJ4;de-u ryI elod Juposnos p,rp o-rd pudqsod
eclu or enolueuoury4 eurafn repas 'lsolr?mau alcqels rudqs [ 'pueruour qc,{,rorodpod qcfurguzeu
qgod gpyrodpo {.raq 'cnnor qc{,rotuauouqn ta?od f^oryl rpls;z uroqo,{qy tl,t ,{luaurorrr g,rorodpod
epz nosf rur{ur-urzap (71 11) elulurpod ;upeuuo;ap guo,rerdn af (Ot t t) eirulo.r Blotuaruoru-uJ'oaouortadq3 a4uaar o4ef p9,rn acrulor gloluauou4g
5s otsPo 'Qgg1) youo adop 3 r,to.r,,{ua7ur nMlsznocue+ ou-u,rosrdqd ef ecru^oJ Juazo^PO
( zl 'l t,lE-q+q=41'r 3'e=
(6l ll) o, zt o^ tt
= ry.x.( x)Op ).-+ xp.x.( x)n4'1.++z1.zq +(21+tt).rw.z+tt.oW't9 ",9
L tsoNAJd v tsoNTnad
- tlz-I I'I I 'IqO
+%
,J+
(o
aurs[ o{Df'ureqosgdz uq{ufap (q1 1 I 1pu o:d aurrlsa:1eu e qcgrodpod no,rp
'3g I I 'lqo eu qnn?n ol
':qo) rurels rur;qfqu,r ;ualprz po $ueurou qcf^oq,{qo fq?qBldo {llusou lg?qslp ru fzeg nu,{uelgfur au4l?pzol {JusoN
s = ztg'1 * zg |
* 1., n * ( t + z r). z w. e + z t.'!r971 eyod ord e
p= zg 1arc, .|+z1.zy1+121+11) 1y,1.7+t1.oyy
af 7gg alod ord acru,ro:.n,q {ucaq6. g7g alod ord ujg elod ord .ecmlor ololuaulor{rtr
g,rp Xpel aur^elses 'glr?meu Ecqets ryrp^p (Z i - l =7 - u;4"qop .y: s rodpod ppod
'g au4pauo ruodpod rurud - f:odpod eualnlsylo erudleru .nf*?ul6ts a,r qcg:odpod qca;.(rg eu ,(uaToJn .urecuo:1 u4lshe{d s ltlusou uepe^n ofe ll.ll .rqo uN
.)|0u?rusru?l!r?^ rl,l, .{ueulotu 9,ro:odpod 4pn1 eurDlsp ,ru^ol qc{,roluaruouqg ,{nepnos ulnIaFu .o{u?ulsrz
?upspllfetu Xrueuour g,rorodpod auepalrz e4 .rJepggodpe;d eunf acnr,ro: ? o$rtuotu,rn F-u azo po .r^jd 'aculrpod o1a' lfnaoq,{a era'n .,&lnrsou ord uefl*nod .[pal I az1 .tt11usou atpllou4ud otd ltp2 Vdoq,ftlgtd21pqq e 41[ods npsptodpald vz ernzonpo elAqr.rulor gloltrurour]^rl 6? lnE"mpz gqnu of nrgap n
/,-.,.\ ( 't 'r t - zt Lt ( Iz r I ) @=4
+ turE )'
r' z' o = "s V
* tos. i
+ z1. z 11g + (z1 + L1). Lw. z + t1 oy11
,tob - y
AY I N S O N ilt eu n il AxC t !' VtS=l'L
-gLZ-
'01 elolrd?I ^ rlap"^n erxsf alell '{{qels
,{dnlsod rur,{11,{,rqo rullusou ?lspx ru?ulo^oqlt A lueulour f^oq,{qo e e.{BaJ 1?m sure4ur p.{p
^. 0882,l'"D' ^ - = "lltl e - csvzr.ob.9!!!=r*
I
I
(B)o=r t'']+w'2*'* ,*'*97; alod o:d acru,toJ ololueurouur op e
(v) o=h-r**'yy.s*!.ob-
Z !0 elod ord acru,ror aaolueuroruls op eruJpesoq
Iqat t ( f\z 9l
J.J- " =_.lt+;1.; I t.J ;=..S ! / \ t/ t r
of g nlsrur 1 97 ruraodpod rzaur nlrusou ;ue?pez po zrs ,4qco1d a,toluau:our luaurour ficqelg
NI'tn|
6 ( € t f\z , t ttzt t _.zl- W'-= | l';'; +; l';' l' -' W -+- -'-'-'--= ",5- I \ .1 It t e
-- e I Z I I W
! npoq I us^o?m af ap '.{qco1d e,,rolueuroru e7a191.,{1 ss zrs lueurorn Acg?ls
tlI
8t (t tt\e tt ttz t €,t w ;=1, z.; ; l;, i n-t i i i t i w i="s
:?u opoJs-su(qll ll rqo) /x/.1,{ lqpqqud z auq?m Z npoq I1ry 1c1fo,rp Z! n{rusou luaVgyz po rrg.{qco1d
g^otuoruoul lueuour firqe1g ;ue7Ue-z ;qfpu,r rqosndau ;g 1..* ", ,0 = ,oS lueuou AJqBS
tt.r.T="s ,t.w.l="s ,t.w.+=us o=,os
i=zN4=LWI'u-='*
^luaurrlourn a^orodpod aururzeu eurelsyz 1.7 = r1.ob : yg o.ld cru,rr.or no,,r.p olqi?t utrueleu
o=tW
I--ttl='l
arudlau euqpm c 'q tI I'l I lqo elpod
'(rI I I I 'rqo)
9 = c1ry tueuoru ,,{,rorodpod 'eurBrzeu
nosf z1y e IrU ̂tuouroul g,rorodpo6 ecuoq oqglsrasld u4u:4..pvz ua?m et 0r{ lueruou {,rorodpo4
t=zl
L tsoN4?d v tsoNznad
6 = "g.1* *g.'| * 1'q *(t +'t)'w. z +,t. oly
,,'r'f=t',,luauou e1cge6 aurr?m czt It rqoeu lu6?puz orlJffgu,r pof4r guoruoru qc{,roq^qo nqpqEd zop,g
o=zn
eufld(17'11)nru,..orno,ropaurouruo.rdqZI'll rqo €u n:llns ov ye ̂zgvz e rloo.zgln Z
3|r?mau,CIorlBN noupef efeqop:,&odpod e uo)floo ru{lusou ?u noef pnrnpa,r Jurzarqeu od 0 *,, flB€"*no6e g <- 1 geld ; e g rodpod pouapgz,r o:d 7uo1u^d (q7 1
' 1 1 rqo) qcerodpod nolp o uryrezpF eugpermu
FnDFa^ e? 1|sl aurylds q_utttrpod olnf Zl'lI 'rqo Bn oq?urpe n n{rtEou n psruIdEN'FnEpo^ nHg
oq.n4ustsuol n1_unupod ro?Jpop ?qnu a[ ppedy;d nD^olst A 'gufuppodeu ef pnqerr q tur.fepgpodpag
'onuge^ ru1,utsou acuo:1 noef ,ip)t lpepedgd ,r r 1p^nod FFqo zeq ,zl rorrrlor nolotusrtroul;1
aJtu^or ?^olueuou;;1 arq;1de ;geq
-gLZ-
at 7;g alod o:d anr ol . ol&)ruounn re,rr {uceq6
' 6= tog
o -ztt - ttl
i=tN
t=zl
ZI'I I 'JqO
0= ot! -'tl
0-oN
o<- LI
AvlNsoN ilr)an]N Avcuvts' I L
(s)
(v)
"vv={'r t c='w
. LLZ.t
" nry=fr,f f.g-=tweuJrzrDqo cm^or no^p olqr?l rrrJuaFeu
'r'g'g= l''w'z + l''w-s,q e^ g1! elod o.td e
( L-\'' r' z's - t''w + t''w'z l8s l
nrelt eA rorrr^or nolotueuouul 7 tr 6 eyod o:d ausuelsop ( 17. 1 1) ecru,.rot op Juezesop od
11)["n,/
f I.I I 'IqO
o-ttl-ztlo=tNo<-tl
aA_=zq_tq
i=LN
o -- otl - Ltl
o=oNo<-tl l=zt
tzt'J'7-='n
IZa= /'t'V+t''tfl'z
pn{po
0=zcs-zrs=r?S=rosa a= tq _2,
i--zw
eu,t1d ere11 ord ?ureqcs g,rolgodX,r oualerzeu atqg1.11 n:pe. rqo up .pnupe,r oqoupafnsal{od n{palslp A eu{lrlzl nlrusou A ?l5ll
.tu_?q_?ursu lr^ousls ?Lqnu af g 1.1 1 ..rqo Bu rx?urpenn
ppedud ,1 .rodpod J;a(r noulalseu s nll$ou n rcru ol no^oluortrou,tg tgnod a4 nopoqfa 5
erueuqglsop 0 +- Lt eq leHodpald Bu urepolqo s prrurdr,r e gqelz,r qcFoqcpa;d JuozBsop od
(v)
(v)
'gLZ-
t.-Z ,Z "W
tl'wI
tJnt orz ann)m zN ?!pnl ,X lF )teq?l eu ubpeJqo s ??unor ? (c71 .1
1 .rqo)
&roFu y ppoq I e pr_uauq {pq,runrodpod paru ef quuauoru qc{ao:odpod q?g$d q hurol I unpolg ,{ruod,ez ef 7 91s;ur ,r z1y luoruourX,ro:odpod ryd
'{upeg ! fls,nn ̂ ,fi, ueuour ,tro:odpod q-eugpgqodpeg; .nrunor no,ro rarrrorlrlg ,tIFp
psde'z aura4ur rcrufrals nolp€Irl s eZ) olod ord lEae tr,re1$s y ?poq ̂ r{upans nmoF 6I urapelqzr3rulo: nololuauouryl e4eu Al elod o16 'e
tI I I 'rqo su eua$rzeu at;ua;o,qe1d g^d ur-ap gtoqie-n:6 .1
e g grpr ,r rodpod po gpror nui^ r;afi a,r af e.req ',,ruodpod,, uz lupggod eunsnrn y qnory ) ruslu { ?su9u1ds epnq rcJupals alpelq e gtrfods o peplodpe;d e y gg alod ord uafaura;;de-z nruloJ no^otueuour,uJ'(17
11 acm,ro:) Xue-qs a,rs:d rcu4rlde s n-lB^l unqdB;rcruAor nololueuouryl I lpnod 1e$ sz.I
tI'I I rqo
'(q"tt
lqo) ̂ulals qrr usou noqoEu af nqnopl grspr,r x,l'yrs qcf,rolgldop po e lneqgvzpo )t,,1 q^q,rud fupalsX,,r a7'flururpod z olxl?m eU .yX mmps rufurgrzeu aulpenpu lfsg? noqo,{1urpg gunofuz,r e eurlfodzor y nqnoll qlslul ̂ illusou o? '{el
4deu 1r;e4 rf azl 31pmau ,{1cgep noupaf
af eqo161 ureqnopl s e rururodpod nugtg es lJusou ue?elzeu af tr1 11 'rqo ?u ?uepe^n ezo11r A
'nqnopl qceue-qs noqo od qlaodpod ,r gtueuout qc{ao:odpod porye,r no"Eurod r efnpm rnp e tr4rsouqsu noqo laurpr; a{,rops fwnafuz,t aznod p_zua1d luauroru liroqfqo pleueld e?Tulau <1nop1 .Sedlgs
uepaf o afnlnrs nlnrsou tsolr?m5u g.l1cgsts as nqnog oqn?In-gsuo1 o,try,ir u.r .;cnrpegs nolpeg e nolrfods
os {q,rusou qc41cqeumld n uef urgour af 'll54uz 71t as eursf lel
.5cF oJ gloluaruouqp +oalqdy
aN_=vN
AXINSON iltQAnSN AYCUVLS' t L
(J) e (g) rlu^or z v/r uqua?nol^n ,Az zW'tn eumuzaa afnqesqo (J)'(s) {V) orn^or ?Aelsnos
(t' t' to -,r''o' u)'f ='w
€t';fi''r t'o=
,t'r +="so=ttl-ztl
o= ew
" (,r'ob'zz-r.t w).V!! =g
,{luaurour 9,ro:odpod o:d au,(1d
,,t++.Q.,1)'*,
'6LZ-
t =zw
(J)
(e)
l='l
0='YS
vA=vq _ Lq
o=xw i=Lw
;="1 ,
6gy alod ord e
o=zYs
xA=Yq-zal
0-vwI
,;='rgZ) alod o:d rcru,ror no,loluaurourr! o.rd u
fz - ronJ'ob-
-
o=ot1-Ltl
o=oN
I<- I
t
*', , ,=4tr l.(1.,)'* ,qev^
ygq alod ord aulTrpqo (1;11) ecruaor e^otueuouln JuDBp{sz op Bqe1z^ olqc?t Juazesop od
nosf y 19 qcylod ,r rcruaot no.rroluourourn ord ,{-qerue.le4
L tsoNAsd v tsoNznad
I 9lN T-="4
'082-
l8n 7='a
TI'II'JqO
*#-="
It t t t rqo) ,V rcrloirp qod ur9,ra1 ^ oq?ue?Fsz olJusou oqgrrpmeu dlcguts *oryet arfeqpdi(n
f'II PBITLU.I
:1apa1s,f1
qapa1sfu1
'r'3 filg - t:t6' U
='a e,t oo!]--nw
ryapa1sdr4
9I'l I 'rqo
'qpsou ecuol q,(q.rud e pnrnpa,r e,r n1rusou nzal A tuouou ailoq,(qo e1fe1;god,(n'{ueTpez plfods acl?p ?la3 od of (91 11 rqo) ruecuol urr{Jsure;d s {,rusou ,$rlmeu ,$1cqag
Z'II PBPU'!d
,t'+-=8w=vw
SI'I I 'IqO
(s I'I I 'rqo)
J rureps oq?ue?Frz n{rusou oq?Irqsurzud gnu4e,r o,r gtuaruom qcfloqfqo gsolqair afel;pd{1
I'II PBI'[!{{
,{qo14,ru1o.r;uoy t'I I
AvlNsoN iltQuEN Avctlvls' L L
'r8z'
'{ula1s af puapu 'grz.n: nosf 44usou,t119p e ,9efgra {OZ t t 'rqo) qc_aodpod
no,rp eu qc{ua4op 1.r{,rusou qo4ue?olod aqes eu nonp az {p7e1 eu lqosgd J ,{1;s gs-eg 9>pl'aleprp
9'tI pBpiliil
v'"t '?,D " ' Iob \=24 =t7
It::1apa1s,fr1
6I'I I rqo
'6[ ll rqo eu uapa^n
a[ Ataq 'nltusou oqgua$?^ez uracuol u4upef ruequez po ?u?l uralsns a,r 1c;qosr.rd nlls euousts
s'II pBpl.rtd
!'t't-='" t
, ,.r.1=,, :
8I't I 'rqo
*-tb
;ua4rrz Toqal'rcuo1 rur,{1sr,ra;d s nllusou oqgtrpmau Xlcuels ar>Jeer
$ !.') '='u G 1.,) '='" 'e'J-=zNe'J-=oW
qapals{1
'8l l I
'lqo 3u ouePa^n er
e flueuou g,rorodpod eplrn
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oI
I1 flz
Ia,
r0l?f
ltlt
L tsoNAld v tsoNznud
'.II PBPUId
'z8z'
'4a'=fi='*_t
dr'z!-.C= sU=YUI-.J
:4aPaFfl/t
'fqolod 91sus az d 1aq4 o ;gotood es pnrqta,r
9,re:d Toqof'(tZ t I :qo) n{rusou oq?lnurpa^ ?uwlmoqo pnl[)Fa^ e^ ocleor e fiueurour epprq
t'II pBptlrd
"r' ,tl , .
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TZ'I I 'IqO
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,a^ry,N
- egz-luaurour {,roqfqo -
!tuauour f,roq.(qo -
!lueu.rour rsnnorl - rd
e1;s ;cyfennosod -
ups rcyle.rnosod -
BI!s 9^ol9uuou -
z'zI'rqo
a-..- lz
I'Zt'JqO
(Zal q:qoe l Zl rqo z.r ) tr{qflr qcFrlru Io?oF lsol zelnrd n rqospd mrud:wWza9dlldury:*qo I'(usoqru g^oq^qo gpur grrud nqep ura{rlrluecxe qd lnqeldn ozleu ldeu acrsod:odns dnu!:d; arqz1spod
?utu$eu 'acrsofuadns fpoleu uprTn qc,{uelsrz 'g1pa1s,,{,r rsou,re:ds ord o[ lsmu4rod noqo ;ugqd5'(etueeurt glclneuroa8) u.ll!ie^ qr{Iruats tso{rtel Eu,r11,r {n1elspod areruroSep 1-;Jzuau (7
(e1ueaurl luJaltz,g) uorluz ̂galoog q-;1qd (1
:,tpqay uaf 1e,ro1qde ry;,r e4 ,{:al1 ,acrsod:adns drcuud aure,rprrod ;ugq_uureuoq?ue^ourquo{ 4pedgd rua;e; q4 (1Xu.rs 1nq 'qXqo 5pp .qe1) qrud rueq-urueu qc{qcnpoupefqc{uepe,rn e^Hp eourrlqruol etznr lfpumzor es ruru_Er{Bureu (ura{uagols) ur,,{ue,rourqruo;,1
INyHyhryN (yNflzoTs) yNy^oNrsr rox'zr
tt! ='bl
,,/ \ rl
2' \:
L tsoN4sd v tsoNznud
- vgz-'z B { nza1.n:d qr_eso qrJup,.quec qrJu ?fq ̂ pal ?req
, -tA n ^tA la?ols noAp
op eut!?olzor (nluoruour oq9,roq,{qo gdors a1 {uqo1 ef 4nq) ? nlrorrrou oq?^oqfr{o roqo^ e? 1eleuape,rord nq,{qc oqe,ro:olsord ;uageg zlrrr5r 9rrunoJ rueu ?r?? 9,roq,(q.n:6
.nq(qo (nruguqrq qoqau)
nure,ro:olsord I F_"qcop '(S'et '.rqo) nqolod noucaqo Uru n1ueruour oq?^oq^qo edop rpapng
'oru ruueurour oqe,roqfqo pdols e1 9lrlo{ uo ?so Frl-Eqnau afnqi(qo ruermlo: ud ''
Z l rqo eu ou?ruoze rz ;duu ef lef 'z 'X nzelrud so qc;uJg.nu*r qc;uelq z noupei
s 9u?olot u1,(q (tuaurour ;qosld 7,m A tloul^oJ '^a holrs s ulouour?J eue?m .{mAoJ e nzeg:d fmno-r
ectupasg:d 0) queuour oqsrroq.{qo ?do$ fp{ hq,{qo urgumiror .u-d F?deu qenolm eursf ruguT
q,iqo (liurll) f,,,ro.ro1sor6 1'91
'Iu_Bq,sureu qo4u?^ouqruol ,tdfl guape,r.n e;{rt g,rrpoupef qudqsod auraraqord ur,rqpp n
f'zrrqo
'qsou,red lgoal qc4u$lsqd epod acro lgpgfr0r erurmur aceurqruol ;c;fu,q{qz ord ocurpez ?lJps
.{,1cre:qe8p ;rpdeu ,Q7o1s lieurqrrro{ norp qc;u,r:d n ,{pel euepnq laryupod qc;wsou,rad pa^nses ord'(g
Zt rqo) rop{dnu nouu!^ot o eptgpedgd qcyc;fe,q{qz n otwgez'psooupa[ 6o7o[dou gtpap$r
af qcfuel1 n 'rl.urJeulqrxol nosf zoru + ^oW + xN e zow + rolg aceurqurol o7 'gurto;z a1
ttl/''uts e g&,to. !+"n(s
tilqe(\eilqq- YW+N(i
nt\ e qlqo - YN +"n (€
([aorc1sotd 17 [uultrol qtfiqo + (ryg) qq - *n + kn +'N (Z
qiqo (fiwrtt9y' |^otopard . *W +tufl (l
: ;c;fnpals_uu Jfru,tlsiir
If.ptse?fau as ?qrru z 'lu_Brprusu qc{ua7o1s npe{ nolac ltlqses eula?Bur 1e7o1s qcftpoupef 7'l.BuuoJep
Jua2m u laqnuood qcyusou,rad qcltupoq,r pqnod 'ppdeu
qc;u sFI !uo?m r 7o1ef 'e,rpp 1| qerqord dq qqprl qcFrnlu qcr$rnoupaf po F?dsu F?od4A
z g,ro1rftm p?dzu fe:|,x.zt xg1 z1*l r{o.oF po o pqdeu g,ro1-urnrou ;tuTE, bW n rN {ez^oF pO'(-y{ebnni
?^oqfqo nosf zl| e !y ,{lueuou '(vrfl e^l{p olef 7.et au4Terzo) ;cpno.o1 luaurou af '||, luflnow
TNVHVNVN MN3ZO19 VNVAOMefiOy'z'
(r'zr)
- 982-
^ +-, +=(z,r)o
^ +=t'n)vo
z'fi= r^n'v o
el (z'i)o p?duu gupels.{^ aplel
gqduu 91o,,',&r ua1 zow luoluour ?
rrPdeur{ly tueurour glot'/."t (z'i)y ?poq u.rauoaqo ,1 qc{rrur,ro.r nq,{qo no,rp rcrsod:adns o4ef l,relspagd
aureTgu ,(pa1 ts qAqo frrorolso.r6 qAqo Kuur,ror ;u[ep 9,r91o,Mrr ruuatuour otqcpl z a$7q1
s'zI 'rqo
t'zI 'rqo
L tsoNASd v tsoNznud
-982-
9'ZI'rqo
\z zt)oa,.|=la, Apateuz
dBt=O-(nzelgd ,{so rup.queo Ju^elq
nosf z u ,{ ,{so) ueld )pd '(9 Z I ':qo zrr) / olef z noso e uo noso rule,.qnau Earu larlq ll-otr41erz6
"o +=+-uI-
'f ^ *ur.
^f^
psor.-w o u1r. - 1tr1=
o
'^ 4.", &=s=(uz'utt)o
aEs^glsoP PDIPo
II!?
p?ld 'oz .'rl ^so luBuneunpoq acrupp{nos ,{pal rl-nosf a^olnu lu ,r af nqfqo po pgdeu a7 ',t4ryrpod z aru}9rn agnpoupal u6
nqolog (apu ua^ol afuo e orry nugts,ts ur9lg.roso1 ,r nza;pd tu3ruour Ju?Br ep 3? .Iqolod no^o{sl
ntuaurour oqe,roqfqo gdols lppr nq,{qo u9,r.orolso:d gd 9ru eso Jul-E.4neu utolt;;) 'fso ttrJu, .unou
po oualgpz^ acr,rleu sf -erep1 'ou;{el^ 1erz oqnu af nze;rud ,t pgduu oq,qgturxeu ma?m ord
!u9^ozreu4p'pqdru lapdf I 1'1'31
'pgdeu g,roqer nltnrp?^{ 'l ^ 11-;fu,rg1oal,r ?up?pl sz ortr-epgplod epz f1uenro61
e nuts.o11y=^o11yuD!^o epl
nsoc.oyy=zoyy
INVHYWVN vN37O19 VNVAOMaWOv'z t
Bu r?el (la?nos qcrfef r e) p?duu
nzar-rud ^ u?deu q?qr:ud ,Jupap4n
(e zt)
- LgZ-(3'71 rqo) ,(l1cru.rqe8le eur_s1?s olord hzolgrd I el-Euuou
euqcaqrl 'e_uadolqs euelsar{ nosf ;pde51 'L'ZI rqo ,r. ualserleu ef
'@ olsrur r O olsnu lq?^ord eqeg ef 'mo + roo l_?ualBru ll-gl^l
og>-'uo
(n{sn I nqul ̂ ,{roupoq ;usou,,rad 9ufa1s 1_tuapur rl-gru) re^f gru e:lulurpod ;r4sou,ra6
t^.:r *,r.lr =to=*,,o ,. ,oW' - lo*- '-
a?{el ' O orq91l o1 ef 4 71 rqo elpod 'oull_?l^ gueppz^ ecpfeu p po arqpm 'Iso pq_e4neu
nqolod auguz a1mryu1 -nzo1rud ?t;r??l of ro ,{so nrye, gnau uapoq ur,{qn:6 '!o oso Frl_?.qnou ?u uopoq
qrunu ef ,&eq 'ma;.rud npoq ,r y;ru{a ualgz,reu es pgdeu op1 ;1gdeu nqpqg:d rugqnrp e,r nou.rodgz
olef e nqpqg:d uroupef ,r noupupl olef p ugdeu nloupeq nolprn euraseu.{n flcgu.6 aryf nqolod rfof
rlgpalqf,t 'a,ropu ef aso rup-qneu'^ pqdeu 9upe1s{,,r o7 ',(lugrpod z aureTgur'(4'71 'tqo nn) 2o11ry e Aoyy
nluauour po pgdeu ,tqpqEd q-aur_eu7 (nls,{us e?ur?t A ol D 'eso Jul_Eqnau I ,Go pq_u.quac ru eFI ?qnrp
po / laqr.t e ruueruou oqg,roqfqo pdols a1 ,{so IUE.que. ru elq ?uprf po !{?ru esr, Iaqlt a? 'llataf eu
tlur ulol qd ry;,r au4sn1.r1) ,{so gplneu nqolod lrp-rn e;npoupef aura4ur nqsp^ otoqol ?pel{"z eN
L'rt'�rqo
(r 0 Ll)
(z'I1n
L tsoN^sd v tsoNTnad
-882-
6'Z!'rqo
z
q
A'sdlI
s0t.Z =3'?dt I 08t = do '"02 = D 's/t = qtq'uIIu 00s =l'N r0I.I =J
arfn?s^n (6 Zl .rqo zr^)J nolrs oq?uurl_zrueu 'n{lusou ze4:d {,ro1;u19pqo duqelod elc?rn
I'ZI p"putd
'1e,ro11adssr zlsyru oqgueqguruu ecyrfou ;u,upa1q ud eqog o1 of .Iguaruou
oqe,roqXqo Bdols oqeu o{u?rrrsrz as rl-ru?ur oqeu zap:d ,{p, rs :gusou rl-guraN :qlupuzod
'S Zl rr qspo ̂ Epe,m epq,{p gfennosodmq,r pruquz qgspd2 ngupoa nlsm,rad
n.ra^q& anefnlo4uol 9r@ e .{9uzor pa^.,r ;qftgi{rr rqtl3llloru mPoF str anEnrF En alrdhprl$d
ag,trqo pe,rozuaunp g3 (9 71) mnr,ror 9pe11z an annpe,rod nlo.quo1 usone6 rza+rd 6mo rpnrt?Ira
tpIU €FI ̂ rp}.Fl tpuauour IqoF po @u uraanc oqm p&u;u1guqau af ru:p6 (capg) cnuo 1 'g
,{so lq_Bsmr po (ro;VF) aogyr oq@q roqgpz,r otupn'S',Co
1{.ary€u nqopd ragd n eurype1q{n'9'uaq^qo(u{uo6)ur{.rorotsodJt.qtl,suruoapftroso;ulg4np,rqqsqouorffizqolodrFfFlroseN 'g
TIITI'IDTU
opnoq,{p Idop nplod nuru s amftquognop e nza$d ,Go ;ugum nr erq ar4 @ f,qru @l A Z,R-qEIIID(DIII
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:oD{a1 nou.rys azl nq,{qo urg,rorolsord qd p?dBu nrpod4^ dnrso;
8'ZI 'rqo
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af O ?lslur A @ e O BlsFn gu?q-Buruu ac;,rfau r 7o1ef '30l
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(B
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If
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'rqo eu ef nluturor[ oqg,roqfqo JoDF^ ? edo$ ?01'ZI 'rgo ?AsDn nlueurour oqgloq{qo qpq!:d
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Z'ZI PBPU{d
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erBruroJep talodfa 3.1.31
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ww gl=q e|rlu g, _q
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e q. *.1=^rt;uazesop od
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nlrs eunfodr;d plg?l ^ e? '1el aruapa,to:d ruele1 ZI'ZI rqo eu u?ruoz-arz ef pedgd o1ue1
so qrlul-Brluar qrlu^ulq z gupel uu ,(1;s 11gqos51 1'3'71
'nqoln runeurleu Eu JuaFeI epa^ 'fugqds rynosfap lnqeldn
oz1 fef ,tp1 'rurelulurpod euezeuro af actsofuodns ndrcuFd ace4lde e7 'auganrodgd lep^ n ouz
'ecrsod:odns drcrrud lqdo auraft?n Jualol l{d (,{so pqe,4u*r ;u,rep
ounu ans l-lqosBo nq{qo oqguqr; u (qep'dser) nq?l l$Inquol o oqau (so qclul", luac q.Ju EFI
z eupafeu npoq r. e11s r1-lqosgd) nq,{qo oqermr,tor e (n1e1t'dsa:) nqel n€mqutol o l}[ e?lur ttroluJ
nq,{qo e (nrpp oqeu) nqv1 Jugq-Bulsu aue^ouquorl P{.ruz '?Eqfl oumr eF tzar-rud 1ou4o1qs 1-;qosg6
{Bll - qBt fr1cl.r1uorxe - (n{stt) nq?l B nq^qo oc8ulqtrlox z'zl
'(rl I ZI iqo) uo oso JuB.qneu I ou{o1 afgp Xpal ss;,rnsog
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ruw 91'7 x I
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nuts.7 = 21
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p zsoS
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Po''oo>lz olvlt olre,r; ,{pa1 gru eryrurpod l4souaad e
lnvoqau Lg. ' qr =t 9
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,,(l}sa^olnu,, ruluefodrJd pedgd eurepaira;d rusgo; u4cllazgqcpqd,r oryf guqopod 'nq,(qo oq?uDlrl u (qsp)
nq?l t.uurquro{ o as eupef'(tt'Zt .lqo) nzelnrd aso JuIe, -Due. Iu BIq eu 61 fgs grqrqosgd 11-;7s1apnzalnrd ?lsJu urgureqo ̂ lrfqos4d ?US Z.Z.ZI
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oqglqno,rerd uteloqrr,r aurlurpn ,r/ poq {aocuol e 'tf nzagsd, rguolod d4cgerperut euasau^^ ,( nso BN'€l
Zl rqo eu ou4ed ef ryf 'ft3,r Xnopllrfng rcourod 1s9no:d or4oru ef uf acppe;nos rr{nqsuo)
'1y ,{1rs pprqosld 1c;fe,rgpn 'a acupefnos ?au ruaureu oqgugedo el u2 a1 |ppec opr?unv, glso.7
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e
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It vug. t
*Y =1=l"ol9 - e'N Al
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st'zl 'rqotI'zI rqo
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y1-;fe,r91oM,r '?upeq Fz augp_q1od Auauorn)
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'(Vl'71 '4o1q.p =r"yy'e.N =tofl | el'osoc.ory =zog e ou$.ow :^oW dq hurol { tueP3FpA 'zow e /oW r|tsqols op oultrolzor
'a(ur1o1 ;u { of ,!oq 'o1ry .rop1e,r 'X1;s glprqosqd s ?llq?t lcrufods a[ $uaurour oqgnoqfqo edol5
-962-
eu amod rsrlez B no{^r;it noue4lyzn ouezeuo ,{pq,r af nze4g:d otgl 'tza4ptd uatpp[en/,na as enla'rtselqo lcruerq eu els rqosgd ?uloldau let aplnr u nza1rud ns,Oqo g,rg:d eso lup.gnau es lt-ptfoq
'ullr?d?u (urf^o){ep ';duu) ur{urpaf aznod
eu-uq-Bursu e1,{q nzaln-:d ̂ Bu}pl^ Euqcal^ Aqe 'uro1 et nay Jfgl^z ,(pI p (uolaq ?uqrl .Id?u) gug:
at DlBll e nqel rr gsouaad zatlr Tqcrfef trpFeFur n flqelnp Jtgl^z ol ef 's){usul?ru oqoupaf ppdeu ol^q
nzal.ud tueler ̂ ,{pol ,{qB 2a;Tld oumr eJeqrqo.rd eso p1-z4nau ,{qe '111;cop ,{1;s p1;rqomd gq1o,r gupoq,r
ud ,{psr oz'I ledoeu u el_Ep ?lltr?l po {1;s p$rqoqd apnq uI? '?l5g?r o4lq urn epnq eso Iq_e.snouaq'7nlag. ef nza1rud qcgso qolu elq eu "so Juls.qneu -Bup,{^ ?reLI
.,{1asg ord (g.Z) ("ve$^ Z
nzalTrd orp-?f e'z'zI
'(ecrsod:odns drorrud - 9"f11qr1d godsap - 1y7nod q-ezi 1.Zl rcle$po A
o1uf ,{1cr?opue euafndrusod areuuoJap ru?od{^ ud e nzo1rud ;ueqm fl :lu_?^ozuaurry g4 (.fe 1_euarru'KrQorzot 'fiequvz) Xtaurared rusAuepez rruafl as 1rud eurelnloguol gqsou,,rad (6.71) nqeu,l apog
'@ dser O npoq acnrpe{nos nos[ z'r2 e z'rtr spq
(6 zr)po''oa,>l(r,, i!.zLi.z [ +r).vl=,. ,r,l( e q')Nl ' '
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gpoq z uroupaf ,r e[ pgdeu irq-uunxeyl z ',t s ergqqou,to] Jueu ruu tu?Ur??t F-eqroldeu ;ue7pu-z gpedgd
oturol ,T ,{pa1 eso ffla"qnaN (SI Z{ rqo zr,r) .{tg,r {^oplHna Jcoruod lrfoqses e;npoupaf e4 ?reP.
(8.2 r )' *-="uqas9 nzo{lJo qrgso qcJule4uac
qtiu ?lq eu gq ^ Dso lul_Enneu a? !n4tdr(n fCu t'ug ,lso lup.gnau acrulol re,U {,ro:1es4 af o1
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o =(", { - "^ 1 - )\ = ( uz''tr )o
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-962-
naorqol{ oqau ,,8{'o,, luoel .pnq l!?nod etua?Tur ?Tlepl A1_zuepur o16 gsouaad 1uoa1 qc;t1lep;,rodpo
z noleU?u 17nod Xlqnupod lrtsour'ed IueA?Nes ord eurlsnu !soec;,r ef lsopfdeu o1et o?oloJd
8I'ZI'rqoLI'ZI'IqO
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po): ugdeu oqg,ro1,{urs B LI Zl iqo eu af nzeg:d ,r (o1y po) oo p?d"u oq?^opullou q?(ItFd lsot?ldsd
esofo,rp elrrz,r n:a4ntd orlgtoqnq!:aw oqav oq?MqMI lu-Brl-Bureu og?ua^ourqruol oloqol n
nlnr{ E nq^qo ocsulqulox c'zl
9I'ZI'rqo
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ur91*: ,r 4ed 'erpgf pruan r1opp1 pllrqosgd ?Is gurlol II-9|AI (9l zl rqo zr.l) nze;.n:d qsoTle^ ? rue^l
6lc,-i'+---olcLJ=
(slzr)oo>=P"to
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af ,,r*r,, aFoet elpog
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;uaeJq lrpm eru;snu (;goa1 13 qc;urud z no.ngpu
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ep{
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t lsoNASd v tsoNTnad
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Tuauow {unao4npat eu_u,ra{zeu 9,r{q uurucourp6
rue^t eA rulqrrrrpod ;qsou,led aug,rgsop ?^e.rd1 e Juazcsop od e
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ef 'gWH oqeu rtDur2,, r!:oel 1p-nod az1 Tqcru n 'fleualEur gl?meTnoq ord egel
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ugduu tuorg4 qcaqgl^ olqcgr ,r updeu suu^olnper ;qlg,rfeu apnq ((x./xy{ e (x)og lq?qpd z faf eu49m
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edols Tqcru ̂ 'qoarn1_El^ s,r nosf oqg,roqfqo nturrroru po o pqdeu floupoq gu94xg 'nza;g-rd npo,rqo
ur;;fpu,r eu 'unlueruorrr u4Jqnoq 9ue1o,r,{,r 'r ppdeu 9ao1,{m rge,rfau nosf Bzatn:d olq.?f n
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e'zI p"pu{d
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rerly rqlp,lfau af 4urgu l 2a1rud sur;nouet5 (1
:lpoq olqJ?l op nouqs lnq ?
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nt*lt<p
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nlnJ{ B (nlqt) nq4 ec8ulquoxt'zl
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1.J=YW e I.J.Z="W
aprl 'g nzo{Brd ̂ opnq acrlg ;p1girfeu
?lpnt s lu-Bq-zurrrsu r;p,rfeu e7 'gu:,tep at 917'71 rqo su ruuarrrour qcycqnorl e qc{,roq,tqo gqpqEd 7
?dhl €tl * oo of l'l: Yt r-tsou?edzaq lld
(B (q (r (p
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Loc'ef J nolls Iu-BqPuIEu uaf ll-eurefnze^n (l
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'.ZI PBPIIIiI
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'vtt,'nr?^l E?q.npoupef ,r f1gulou
lu?rus op .{q_u.rouaor rcmnor eunuBlsop qcg,rerdr; od e (7 91) op (9 gI) s (e'€l) BtIBlz^ Juez?soP od
tDp. LA. z Dp. zg.d = t1p. tup' d = 7p$ el)
'op'ta=\p e
ZZ =_ -=_l,lls zopp "Dp -
'op''a -tappeld app e
(e sr)
(z Er)
-=-. -;-uls,DP ,DP
Wld, zn e to ,(p4 gpur o.r4
0 = Jp - s. ttp.fiuo.' o. 7 * s. wp.f6uts.'o. 7
JB^l l1ru ePnq ,{q-s^orllor ecnrloU rrtre:pols
(rur,$osnurs) ru{lsurs rurl,rs yfndnts,t tuag,ro a.Iu^ol oP Alts otdl ruuoluolo qcgu?$ e^ zo e ,o
lruggdeu eue1o,$rr ,{1ys leupat 'ruuerua1a sqold od oqprqosqrd 'd qep ecFpalsa{,r af 4or Jp ?[s lsuPat
m op efndnlsrl r, ,tpuuou luQtrrs op ,{q-elou.tol rcltrlor nonoryols augdeu 6'51 lqo ?psplgz "N
6'CI 'rqo
l ronuF9
zrp
r;;
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-9!t-
'l?€lseu qsolelE ?use los as-su rue?m ?qclter?u 'F?deu 9^ol?rdl ?uazouo ?tgsFs ?{pI I ?u??Iz as
rrn^arqo I n^els ogg^ou_e.rqureur Bq.uod g{nz^ rcl-?^ r eup oqgrnuepl tuefodF^d ?lstu ^ 'oqFoqcpe*d
z aun^ {Bf Aqop-eu uap po usoueppz^ ?u?aFlsop 't amod 1r4a;'{'r eumun Auqls 9'roc1-z'r tsolefdep
:luaraIJ
Il'tl'JqozI^-/etnlepa;doqprgru't1so4r1a'resefAu?lsqunon"ra[^u?$9^ooB^
:qurolod ppep5 'ura{e1}eld ulrulru^ s '{qopgu 9'rocl-u'r ?uu?lso{tLl ?u?ls a'l F?deu elagap{6
I'eI pspMd
[PePU{a s'et
'e?pod
aupg? IurQou llrlor olqc?l z zo e to updeu gqqqq-rd ;uaq:1 dug:quraur ?{ctSoul{s ?u?elor ?u?ls o^
ugdeu gumrrzeu q,rp o:d cru,ro: no^p n^elsnos 1tn'relspa;d (9 gI) qslz^ B (s t1) acru'ro: e'roeceldzl
6soc.s.t.v.Z=tg(e el)
(s'sr )
oPntPo E
6 = p- s')'a 'Z ' dtsoc ' L o
re^t gtu ?us oqglsr,ts op ,{q-e,nornor acru or g^oryols Pode '{udelory nqp ;rnse1'r r {eupef "{uq$
eu qcrclqos1d 'ruo?F€z oq?^ol?P rcnrpep{'r ryupei poruqez e4 6 '{1s oC lE? noual?ppo ?u lt}qos1d "II's
flf.gu gupels& ei ?oJ 'O slJs l"uPat husrptltur ru?lrs aA 'o F?dBu Isupaf lqos1d ts9? noual?ppo "N
0t'cI 'rqo
'0t e I rqo zrrr - Aurdalols Fs-?? (proq ! '{qepod ap fpurf oqeu) rqop 9ua19ppo '{q-elou'ror tcnnor
o1e| ez-eusfau aul3ue$op zo e ,o }Qdzu rualm ord rcru,,ro.r ;c;f?q,(q3 .rualm qcrfaf I ?ulss }?srsau
'zg e ,o g?&t gurqEou plp e$qesqo e?olord oclu a' eloF/celdYl e^Azvt es aoru^or olBI
sZU,U7=zo*-to
iFsol ga v lsoNznud
'g}e'
oo'7=to
WPqulatrT.t.e
es eelrz E ?upa, t ?dnu o';r'l.$nu olscp af olord e urgaz3qou ot { ,{upet rugurs a,r ;qosgd zo pgde51
(8 e r)=tg=lg
l=tAEOc
(r'€ r )
pnlpo 8
s,,d=6+o
ellleuelsop etrrr^or ihosculdel op FazssoP od
= ry peld ecpa oso,,r.u-1 ,{rpruolod F ?Fl ord '(S gI) ecru o.l ,{,roscelde1 auafr4od apq
errouelsop (S g t ) op urruozesoq '1 = 6soc e g = d ,{pat e ,{qopgu noso s ?u7?qoulor ef ro p?dsN
d',t'z=6
grqllqgd ru ord guld u ,(qopgu oup eu og;slqos$d d n:pp ;cppelsair ef6 e1;s gupa1s{n
zI'€I lrqo
og ='goo=Lo
'Z I g I'.Iqo z e (9 gl ) nqqz^ ez eurePt ̂ Jua?m oqot old'oo ?^oso F?d?u
qopeu qc{rroc19,r n oFep as olord s ^qop-eu ,{so rugurs a,r ;qosgd (I I gI 'lqo 4 ) ro p?dBN
I I'f I .JqO
srt
s.e s.J.x.z=-9=.0).d d."t.tt
ANrdSAOvS'eL
'Lre'tI'fI'rqo
'[r-E'N] I 6zF ?uJ?In
o nouqedel eupuldeu et uqop951 tr1 91 .Iqo eJp fqop,eu ?^ole?n{ ?u?ls 3'r ;rpdeu fqpqqrd etepa;'(n
z'el pBpl!{d
'Aturou g,topod{'t e FsrdPe{d ?usgd peld 'yrerpz
Bu rPI[ lzorqo oqau Apoll 9114'r trqosqrdz egoru 'tq eqcruod Tqcrtel 'qopgu qc{ao1ep qc;qtqueq-eureu
lc{n-qsuo{ t la?od4^ ord a7 'rs llulop?^n ef gtqap'rq 6 ^' co ft 1€qpauuz urm qord let a4 e pqdeu
lc,tlz^4qz ?au lluetu qu2zrz 9,r{q d ryp loqou tlosofo^p uu afngnpoupatz olse? es $oFfdeu olel
cI'cl'rqo
'tI gI rqo eP lortdzu
usolo-o guceqo af {qopgu 9,rocp,t ?u?ls 3^ e? 'oqo1z tazgqc'{a au4snlrr Fr-g^ozuaunp ulnqsorl^eo qd'!qn-qod
qc,{uu?lso{uel oqau qop-?u qcfuu2lsoluet qca(u.n'r 3ruro3 a^ En le 'olsu? lrqa^ !fnl$F'$ erFqcar
^ as /tugrqurau ?^ocB^ ?uu?lso{ual Joqau '?lEalTp pr1a,r nost (3 91) e (4'91) '{qeUr ?Wnpoupaf
t tSOr,tnEaV JSONZ0Ad
.v
>-{,
I
' 8!t'st'et'rqo
' g I 'g I rqo zr^ - o nlls no^oso !l rQu^ noryetsA eur^ousls s ̂qop-eu $-8? nloqc$ po / o In?uel-epz
?lsJrx ̂ sNdreu au?rzllpo (9 fl ) nq?P^ ez eulJ?m ,o nueTpuaul ru?urs eA F?d?u lsoTIaA
ffit6-d1=,'
"W^@:fi.1=--6-+o
erueu"lsop eJnIAor ̂^oat?lde'I op $qqz^ qc{uepa,rn u,ruezasoq
(i -,1). r = d af nourpelq pod (rf - q) acqnog ,r n{BIr orl?Itqarso+,{q tsollan
dt soc dlsoc
fi;'r= rtu=za
pqpo e
dtBt.i = J
{pa1 e
peld a1-u6
6 soJ-((l
el) nqqz^ po ;lll q?tz oluel as lotd'nues elen?^s,{^ - n:lz-srqo z otu;;d ou,(1d) ,
='A
(,{$r.rod qso/rlff qrtroloo 6 = ,U
:Fetd 'nloqc$ po/ o uguelgpz^ flsJur urguceqo .n ,{qco1d 9,roc1,?.t qso,til ,tgurolod ;uae1q o16
:lua|av
ANrd3AOvS'et
'6],8 -
'sqoPeu 8^ole?n{ gu5;el
o{sf ?uqopod guat?^ez s nompde:l gu?uldeu ,{qopgu 9,ro1qo1od u urslepeld rx1lllnrl s eFoI llre^1
Aqopeu lsopfdeu ?rqutsorrrBs a1;a1 'gpeqgd qc,{ua;al n uepa,rn 1,(q {1ef 'uadqsod urficrSopuy
'a?qod rur?ou ?r[ 'D?deu gue^o{npel luunsxa ldod pgdeu ;uru94xe nosf Tqcru I 1s}ru tue;1eli(A
dt,soc 1-E \ s.f dtsoc. g . dtZt. I. z .7-=-:-. A.-_Uouts | 7 '14.1 / I \
I I ;-ta l'6,3t',r(' Y',t\t )
"(l-r)r,o',tt z'i
dtsoc.s.l. v. e=Lo
eueuelsop (9 et) op urJuozeso(I
t'f\/t\fc'lI A. _ -.t l. _(dt 3t. Il. z . / = | I. ; + r - q l. 1. a .,t =l A. rt. z. | + (/t - U). ;. z l. / = 6\ e
')2. r t ,/ L
" 1 t "' _l
,(po1 peld e rnecl-urr
e urale?nl oue1o,r1 ef - 9ue,ro3:e.qfil q tI rqo €u - osel?t otol '.{qop-eu ps92 nonrz!{po peu {qpdu1
Bsalfl ezE gupols& €u or O ells e['?ueqo ^ eqopgu af Tfgu z 'nqceld nq]r aur-eqpruez prulod
L tsoNAld v tsoNTnad