l4AT-?23

W+tsz'. Aklafidn Ouao. e$s@,fEarLe:^" *9 1.+3-,t,t.,ts- Hg,?arub cFn^{tlaa:

- rhar'HtA iq'@-'ts'sa. fuu4&sg14a. ofi: t=tr oqluu")e*r*;Jf- q.qs- 4^.^s. " cz: zqloo'lznnrfn.--

xd ) ss' o (z: ,slulbtta')TgoSaoie, F = o,+'z-+ osT" Yy:f ctu u>pr.ix n{t*a I wro?t^- rsFa_qel nnitnu. es'Wirl ';.);;#' @t'o,,v obiotta, iy^" g cfou

W^*' , ?tuqu,a,l'bc. .d* Amadt4 cgnhiuta.

' lMattna4, Hatrusmof^,mol. ortltiauiot@, ftncipltz at Lipartaih.' fftmguo\ A'rua!!8 ! fiwlh,h.nla.k s. nnh,ruta.t.'bnh*r,O* un-fu.ru.TyW ancot t"r b^r"Dl' 'ff*offi;y^r^, u)mb) ,tmrb,

-tutu*, ksttua, xtw.s., s5-wrun-dnd a ooc,-- *m^ 3 nez''at'

' -'qvv\Lt

'?run'dad g @rrrysotlnb @ruxa., WhrultdAd y qnudr.

lxw'alu1aaa 3 wrrryrunted uL@-canua^.Wlh(n&tdAd g WLID_ tgru-zr-dad.a

" @tn$dilud..9.t\igtu fu Laud,U.'Esprr.u: wmp\lq.:m Ye# hmoot r'rareo tu t+1;4d,6vq&b4. taray&lotfun ctu Op,uet nt upS.. fsusnt d!- Wnfue +L* Wrrr ttxuieaz.

tu tmairrul\ adadax.

o 0}vnp.rdnd:. @m1aam *o or\p\)s t erpt('{s. Bcrbn4r^ L4ua"ko'fb,, ln rzlfo]cig7 ,it_rao Tegwa & T\ prlgfr." trltimudnd ,UnWtfiit X tttgiA ^j*"ics: cgrnpds.'6p"rien ntJtrladg) dL fumhAn h/r1r-la.' equt @rb(ruid-ad..Teswna & Slww Weiutn,,yy.

'*{otobiLrilr^.' Ocfucrt.g dkwruN oll Fe{aieo ru ,tsa/a(lcb.

1\*N,;6L oqrlloha al anlut'll'l*. =a3 - {., **-J .-* tztty,tto qt a'r heru a tedPl r drnoda 'tJ -3 L ge p!dr crcm1ggtiro $lr as( e4,"liaala123 s I .J

zxhroQp' de Rllt(dl tonlne) -t Drnxrltna qr,, w +evdo' oulial d torf'mb ft't/rlda.R=l* : z.4 xl Vst htlEt I T,..f torrt^adicle/ta'Re R =r 4. t yonadaa @iAt E i a tarxa Ftr n )>; rrn,?qR f R =D Re R pentnrratr ol t p dr urnunrla q,ur rE {arnnm prf & 'n I

pVt to tarnie terrnarn 'ont & At rrrne3.

Oxterno & ebait,r.(A+) Sea {Ai 3u, u/o $afrr/ dr connhe ( ca I irnzulo lje| dt 6a6, t iel.

8 axiso & eleqi& firr @ qlrr' ( (x.)er)(.e Ai).foftArfisrEr )'V A V B B, B*l + J+.Frrn$ D{=A

^ V B A, tB)e 8,,

Qat{ , I wv'a lunt).fnDf : drrrs ok 'f'

I. ap.1 xrel.@ Ur* rntno o dilaoruil w L rrrnamle H Lb una tundln d: ilx,'l ,R +r.

d (Ddo fft gde/nadp de elerngnte& , U H la os/o" um il'nnne r4o! dk

IEI s," n=rR 5se tir,u led lDll llLtflwLola)

d(x,)- lz-gl. t lohn W $ to pl9p,6do&A dd raun obsotto.oRal. L/t{. ( f,,,a) wr apub ,r+uo. tmit a d( LttL(a. Ultol de k-eApottb ewa.no Mn, ttnb con:

r--.-.-.1d(.cg) = IZto._stt-

'J i't

dr(,c()-- Z l>--git

d'c:10= zr[lr.-y;tll( a+v.t r{Aalta @ru/adalw, aaaaft'ro. , csn dearcnlo mul?Lo intm*.

(b) 0E&clo F @l&:. :(lRxEl + E

(1.) r+ Aa.. f?rArlto. aledohta, Lf,n eb rne,Llf- ttw'iflPz diaini utt t sn IttLPAv a +'

E

q., ti *t, lnr uy ertttf FopiedAd:U ltrrlt+O .+ llrll + Ov , Vrv e E.N) ltlnrl= ttillru-il , Y r e E, A elp,.N3) flr+alo ti qr+tL?

w pde rmi*mrs ,,u lol @e dr Urna qrr l. /lsrra ll. lti,nduo o h rmt u,,o omlenu.

lloil=ll z-fl < lt att + il-ull= 2totil .D llzlt >0.G> 4r+Otlrrls ?*a + r-*;JJ"t o

+ d(/?tl = l| er- uu > O.H3)Ea dinrcta fur:d(a,r)= fra-y1

= lt(-r)(ry-ll = t-rl lt (v-ult -ll, -all= d[v,u).H{) d(a'rr) = ua- rvrr= il a+ ur- urr

-,u-rr -< ilo- urlr + il uI-nlrr= d(m,u)+ d Lru,rrr).

lGl e= fi.' r.un Iol lrro e )>iltl?rte 4yttto^:lh

tt _ttz=J)xz,, ,

ltI.zltr = t)q IF..l

-r ef\'^fw \tqr u t ru-rrut,. C{trr EI{t 1{ l tltUg dD f UA f,18!0r0.

m E =d(e,r) =l{, g;r I { rimtq.t,iJ n>o : tr{(dllr< Hltxrt6;, v,cerJ. .@n Lo. nrlr.a, )

a.ot leniea ;hnldDl& Fe q&

tffil (g1 R") ,,rtr+il = arp llftrollF o'gug tn lnrq odada

,c e E llzlleOfnumo de [a rgUrA:

trttrF = ( A Ol' .- r.rsra de nwui.u.tltrm,= a toiit

l,jUlllo= rr

";ifo.,r'

i''

lotan mrtnr-ca

tr

Esp.uE Veclsu'ol4 n producle mlorms.

)

Itrlrz = J?fS )4*,q = iog, I,r,*, =t'j,, j

i.r

lB f,"-*O -s.r,uorrtal

nto,.

i'L/l/i.

EI

lE g- E agruo ieclutiol ^Eb?[ lR. ]orno nlrns

pe&cte imtrmD de E a ura fta-, (, ) : ExE - lR Ai u.r,npre:Pt)(x+2,,g) ={,S)*axr,!> , Y xt*t,Xe EW) 17* B) = A, Y AeR,ag eE.P3) < b, z>.?q) O,!!i

-+o.loesl p el g*rc imleB A &t?'/}rt to rrgllr,li @raB ,,y9t!-'.

d(,g) = /2eo'-*,1'' = J

feperolr" n Earie tl+,,q.Il E, ro qu -qre (k"d)

o Bd.o obigtta H: DodD

o Eda @rrad.o oy( tt:

t^ Lm apUS nl*n8 g n >O. Llqmarume!:G H:

B(o,a) =f reH I dcfro) rll.

Bt-o,nl =lze n ld('qdo lal qur

B(o'tt) c '. De$mrvn$ f idedtn & X tornD et torranlo;

,r,gy=lreX lJ R*>o: B{_r0c Xl. Dinrmo6 qur X e obi&ls ai X=ittX. E &tia. ai:

(V,.. xXl n >o)( B(x-,n ) c X).

b

ert

-x

EI

OYelr.etl I V n>o . B(+n)nx+ a g(4n) (ryc+ ! )

EqJ tol rez det';rudr.(b) b h;p?& A,' ablor.le

De$ namg n= rrt\ n.i.t, _, n

(c) si o. U Al +leA

>

@ . lol =,0 eto,;t.' 1,tl= n(+,*)

ueN

+ E{o,n) e B(q,) c Lr , V i-t,-, n'h

=> do,n) < f) A,tGtt AeA *.q. ae A\ eNl.

JUro: B{q,na).Aq-UAq.\ei

)( (x" ;^rurru,ai rh6'h obi&lq i ?( 7,r*ao.rua,r,te'rt nlla oUrah I

----+ ti,o[,=l4 oA= [orl x lsl.

porD. i=l -t tL, t ,!a a " ,4 A.

+ (J n>o)( eG,ru))c [ , Vi=r,-,rt.

g(-. a).s X.

lffil tn"mrmer =fo,u).6= (a,b).By = lo, bl.or: A fo, rl x lol s g

--T--GI Og n,e,n obiarle!.

CimtA?ion?

@

ftra fodD a H : B[o, n) obalo ovt lt.Dbr',wr denertr,aR tt ' B(O = int[ Hq,*@ {rc a, , n*>o *q B(x.n) . B(o,n)go *

B(o,n). + d(r.,a) . rLEa{a {rsrn0n : R-r. = fL- d (2, o-) ) O.

imt(it(S)= imt($, V xe [.Sa oe imt(x) + J n>o: B(o,r.)cX.?d, il s>o : B(o,s) c iftt(D.De ta Ftoptit Onleni4 V;c e $1q,) , J A.rO: Etq,)

@ g.o A u;r"Jyilao $ d(r.gt ta niht^ duwta.?(>c,n)=f14'o"'Luto'.,(a, ltanadB upD ao'.tg v w, LuLpuzrtel ,ton ietod-a.

l l Seo AsH. A rualla abelo ,51o A u n uau6n & uJ.IIHI .+

A=idrrA'a V-e A,f BrcA g A=,.UI+= UekeA.(c)Se A=U Bf , a,r ta,ra P {'orra or'/tle/tt A IA obial.

IE-r1 . ye .1 aelado, Ai il c >o +.q. d(xrll.c , V-,S X. Eqr-\oliitentorrb .. ,; VxeHln->o {.e X=B(x,n-).

. Llormnna dioifirt D del eormto orelada a :

ml si x odode g ,,rD .odo i,ffif

;tt"1til'1'r-,, d,-q,,,x ard h,?r &h,u.de.@ s, E+ tOvi wt upti- wtfuiol. mmd.B:

dtor(( B(o,r) - ltw. ^E LlLnLt@ &y,t@ far q& to rutari. de urbtu)r o u^una b{a X adar {a dtamon on qr-qlen.a aohdD ,!i, g AotD Ai, X s B(o,Er, J o,o +4, B(o,n) exj.q, adado , e*Wtt; errik. c>o {al qra dcg)

lo6l (o,d ) o, \ x. e X ulsnu d ttna k b^ drtrodl.@' si )(- f , ...,xnl e ll , e,*lorut..

. Si X=Sr s lR.t, nb,{la,d(a,r) =. m d(0,.)

ltl..2n.

d(O) = l, V z e g, t {oda t. {,re{laq Id(o.s)

= / ac ol mXa on itnlu Frlo.). X = (o,b) s lfiz d(o, X) =o.

d (b,$ =o.

lErgk-=61 x= B(o,il w, d(b,x)=o, V b"s(o,n).L AX .D J n >o , Kr,,n)n.irr*X +/ H,U,n) A i,n* Xc +g

. li(t ld(a,a) | x e y! =6.ger E aFds vecyrio.[ rLgtr]oda:$=B(orn) ^ beE 1d(U,C) = O o B elnD tad ll-all

1 l hd. ab,ue n, )el seo lr etpo

^tuw

@. S; Xnyxd a>. Es ctcre At,

tru'A/!^1.tAr..

M

d.t X a Y tpto,

r.onfa tnb:

Va.nle de o ur,vn tori6t y I .X .1.

h* qo: ldb,,- d(b,.)l< d(q,b)., \,Y c n. trtl-n, rna tu dr t'xdi

d(x,Yl = r'^+ltr.,U) : r X, ! y l.d(x,vl = o. frr nrpnoro or utse]

d(rx) =o { d( r v} = d( y, x) n o,l.tutlo na ^,

he, rA aagaolanddmlr

E@

de auttwlar.W Wh * u de

^uiuttrtn g othuurrb a y.9H N d(o,X)=o d:

V e>O, Jrro: d(q,.:).,.9n qtiwLsta:

V )o: B(o,e) n y */.V obeule A qr tgrth-a,u o. ,,a..: Any.d.Lst oihx Aex: X I AX.

lErl Uanarum,a alylltna o odhly'rD, e y o!

l\,tqAl Da& t^ rsainll"B-s

.M-H. Si X Y > lc.

Dl B(o,n) c bLo,tl 1 ydtn nWiEHl tsu;deru,r(a,

i=t."hlx ^utknbt x n*b qu

,*a iytolat.

lftoP-l fcr'.. lEHl a.

{E;l@

H= [o r] (/12 j.B(o4 = lxe Hl l:f

m Sa f cPl ,utsnu -T=F ,,r, ! AdD ,-T-

u,a,+s.

-IlDHl f=F o 1. 1. B(o,n) 0F+9.{+ V ae fc, J n>O }.?. B(q,n) c fc.d+ FC , abiels. t

oA tbub. / wtp,cnonb g b't,V Hrrtg,otlt".

lwr.nngde

:

lG=eUAr+lel+

3lt A , ).- /UA

\tel

lE l qro* qr. Dx o cuode V xe H.(DNLat @ttnpJ eb(/tto.md8 q.ur -)c AX e V ro : B() AX+g ^ Edx,e) 0 Xc+.Esctu tang R de {arrnl @$Ant/fte '.

H= rrt($ U DXU ilr(xs) ,l x e U.& 0X = ( rg(x) I irt(xg)c + Ox &! @rylod

u i6l' e M^M.w A=

let wyn anala ?^i\ d, H )gti umada.

XE$T-

0 lr''lt

= c= (,it=ftii)IA ob'sL{e VIe.^:

a unnade.

leA

f = A.= A+r onns'IA"

Ar.

,\t.oo V Ic A . = 4 Al.I & Vl"/r,,.e At'.& x.e flnfill

ccnaod Vi , wlon u^ f tflrads.onoodg Vl"A =a I cnodg.

@

El S." Hr rrp;4a e H i:

l@.{tO-l.gzr reA!.'{-'1r-1-e H I {rrle r!.

iumrio rrvrh',vuro 0t\ ? Eiug './!+rto.

frt rOl [.f:t{+ u4^A *rr n. Ltaryro.r /,yw, 6 + Lo/rh,rurA ,r(v-)o)(l 3tl >o)(dr(o)o +.q, tt+t,1. ii "

cantrr'dod dr f , J 6(=>o lat q_ +tB(.,s)).;iil;;;,rJor*Pnrirnaln :@1. f ',(t >

'f({-'(l)c A(c)S& A'= B({tor,) ahw at

B(q,t) e {-t+te(o,))) e{-fll.

tol g,tA={-'(l)

A abls $ ae Arpr *(o) A,. + J g>o +.q. tsta,) sa=-f_,(R+to,)) /{+ {(e(o,s)) E-f(4"(s(+(A}, e B({ror,.

G> d(+d

lffi] 5 - ,H+8, L-- t,..., m la wnur , a,tlsnw..A'l:e Hlt'(>o,Y i=r,"',4 !.4.lret(l{.ta)>ol * =,0

^* l,n*narc,n & qbruta to ef

= {._,((o,o).IEEHI {

' t + lR fla) >o 4+ n > d(o) ub a u funa dt \

*-; := i'Ii^^^^n oa*, I ^';'::'*t \iffm qu E{o', f

{fi) =;c A.(-a,o) + 'f1a=fo,o') ,t ab odt

$ si +,Ht { t:N+v )st tsiiruto^, tnntu e.f) za wiinl-.Qehl sA o e l.{ GrxE I ,, r,antiruo cn *(e, omtvna..

(V>oX: Sro)( V e : d({ol,.x.) < S "D d(g(qo}), gt{t}) . ).

Tma,nds ll dl-4inl,4" dr t wntr.auri&d n^ { tsn = ,.l () >o |.q. d(co). t + a (&a, *(l) . i.

rodo:ruAiru(r & ,,^,

^***13Y:'X';''*nr,u^ tti autaru& n4: H+N f,nlillura, r o. e Xc A, utlsn u,s g lx : x + o anli,fta o* d.Dirude tor6;deno,nd {lx= {" L , d,.f,.lnd,t i: XrM u .b *uniai d^h^d^d ILo aputori {, il+N,xl tL w^itlt ,/,t u H A, \ fu Al, )*a aordr,nada$: tl- N.r g {z:H*t la xn u, a.fu H $ pr,io *+,t* I {:l{'rN, ttvttta f IA (,lttma .t;, X Af, {i'G)I (rruads V f, e on ad.(=o)sea F,e u,urde, [,ry,

{-((l}.) Ji_*il'g!lls- ,

abirio

'+ G'(F" ,a obierlo + {'(rr) urnodo.(e,hds A c obtle , {'(4.) l^ ool{ads "+ {-'(A) t^

lErR,i\ &o *r,l,t+ fR u +"ril dr 1r, cana wnltrw*3=lzeu | 4tr:l, >.ol

a a/ylds'

tmflrIhlI

@@

ah.1e.

{ l. i, ?robt qtr,

@

E sra ( u,a)tu e t+. E

qO,nta&,tH ut aptrb mtno g , dfr

Ai Lt,z t)t, )f ta 6nltrlx l-t -r

5 " f-'(fo,*))

+u^4rdD

(l4idIffim D&rumeo,

5l'$(to,&,)) ,{}d}.&la laxor'

6= 0gr1e 1

@S d. ! dz ilatat Et ttb c>o h! qrt,dz&!) < cdtt!) t { *,. A.

erLbtL >dx. F i,," , ,pnt?.

U dtul , tprtlan c thfi,fint tte wxhata.Iffil si e*iata *, p hM Ett:

fiule wodzdr llpcrg

^i+rirot, puB mtlld ,A ll= ll,x[lzx-..y Hn ,t e H, t-(rr,-.,*)H *nowl,

dz& t =. xrx taCr., Si)1.t-t,. ,^{.t)=. dt+ud +...'rd(r,,, S,')d"lx\) =du,itr)th

,.-ob[o')'= 1--,6;

ool t^ H.Drurro, S, d , N p^ Wia funrtauna F. >.d..

QS' "l: fr+ I,R rontrirrua.S")e.[ii{txr>o!

-'

g'=lxe Rl {ra" o .

V, ,rt> ei?Bdrcb eoraarno

tt tniot

E sndz

-s(H,d,) s ta ltrorutliua,

dt ,yrvrlb^

erbtA dt * dz.d (g) < dz( t)_. p dr (r g).

/7 /v \\ wn WlnwX

@.5 , u.luu b obabt ! ^ dg bn tg nt^iD!.'5 {:H+il tilvot+ w wa fiiia, h" te l4^n tqn- sha t4ualufr'IllHl g; 6 1 tmo t^ a H, wttuxw:

d(t,rl)=nhll,auali a clanler o- d..9: d"rd + dz.4 .

6lE,l,r ff=f{'f,1"...rt4n lhu rrin, ,to qt;wbrtt'-(aua)'= Zdi*;y)"(&t*tl'- dot*$ + 2 Z d @, ti)dt4, qil.

+ dr&< A@D.Nolo,, fl, &@l) = .n& \il',!l < da& 0 I 1u d,r * ndz

t "l .,1ff

,i, A^ lr* bEspuq rept{iet

EltantetE" dr X{"aa rrs) a u,ro dtsi,t Rx) (T wu* at awohl Er'i\d,xe&. ttii) Si 4,..., A^ S o

,f Rr.. tri)g Ar,Vle

-A +rUAreF.Uortrorultd lero bpufte of po (XtF) dsndl 8 ps *a $ptry" oa- X'

lar^ O * pus bpuyn U,F) u n*k;gutt t {d:x.y->N di,thnaahl Er lfr dbalet tu la "Wa bn &.l lg, wlryin rrrr^ls x )my

"r Filt *'*'. h bpq *tal F+=l,Xl.. ia lenQr dx,uth"" fr= 2A, A obtxl*\.

V. nYg= .

m

@

5 d u uqa rntniu, tcxa da u fbtttl(.li z+5 + 9-du,0>o. UO, I no e l *.q. . ar) rD .D dx,r,

@fT. y ? la d+d,ria^ dt. wtrwon.o /, .^ptJoio.r,Ao ta. ma,a B, y,l;o.g,,wle&, nlonU b 'wttwtytcin u l,t naaim.oto.WU, -->d,wbau -io,,neNlsH a arfroao.EI oouu L=! t ^!v^u exit u. t g! rt e B(o,r) r r> o-

+ A s 1*,...,t^,i)b(o,t)Ld_-./+atdr o.dqdo

ry., zi+o s ta. b,^^;i=r"*E Br q/,t tit d) W^uea4lr1^ ..

lffiils; z,-ro, Ottna ldt />ab/rt)ua61 ,"aha.[ ] s *t+a, otona V pe fN a.NL+p -+ 0..

Fl T r^ *a q a*b, J rtr.@s^ N'=treNlz,-b! 5

h pr^U oe Il b llrrtt wA ,htbuttbin e,lneN ^",, Ma )t, pa.lDdA bln auir dr trfu )ao, 6r^, n a-,

^^ ^ b b+na!,nttL W.(+)

0ucla(e)S^ ,* e gtq*) @ d'(z,;,a< ! ' lwa ! --o 12 '41i -)a'

:

f orads L -) o:

Y>o:lpoN t t^>h + dLz,,a) 2.VE>o:J6"N m r + d(*n,b)e.

+ d(o,b) r d@.a,+ d1,t.6 < t.

&rb)=o =D o=b.

Ll 0*b, J /roe ht m u,n+b N n>no.W @duiL

^.twlatna qrl u '$-ate.

TE

Nl =lt,,-..rrh,.,.J=D" -+ &+a

lA h=(a",l!,i e HxN, wn 14g N ,LFda ,tra. E,,lant:?,--) c=@,b) @ i,::

(+ ?n -- t-o,b) + { z>o,3 ao +.q. d(e,, O,6J < 2, V a> nu

@

d(4,(qH) =d(,ol + d(!n,b) .1.

+ d(*,o' g (a>o +q. d(*.s .+ d(r, {td) < .ffi

*-+d, ovtlontt d z>o, ori& ao e 1a1 ap d(r{,a)< s a+ dq{rd,f{o) < g, +{ a>no.()

gopm{omo p tuduLL o! ob*rrs Eu erE z>o,lo,L Iu p,?a +e& >oronodp =* :

^*,::":: ;1r,,;?;;ro,)>_

E

lu'*,* q.,.puotel dr [l

l@ r o @rtodl--l-lEtl rBoe

^A r qb,r-orlo("+)s* A t aUeale X a,t')ae|' tr't A a aho'Jb, ettata:

A e>o rt B(0.t) cA 5 ta-*t eB@,L) ,V ^>,*'

() "'l^e A' >'tb'9.d: Ac ,D uru0d.5 ;ar e \o, I ao e l m d.( r.r, &l . L , +l t> p+ x^^ e b(o,e) ny+d.

4 tarruor le X c M Ct ,tn s.bl lnb u aty,^ ,,.,.,^int*, g ta u, Y xue ta.(ttatwda) aisa T*F.l, I ro9 .!t, li ttt.+ue A

r4

^. i= tl. E &dn Ha !

dL X.

W tu-+ot ulont^ oeT. Ioilant *eA Fnaaqtodt,

B

@ si h t$un (yd a wu.yt., o,na ot fu tu \.S U* atwin (audg hl ott h+u ua Mblb-lEJg, u&a,

, ztn& 9d , V t>Uil fu burhtX (rr,*"t. g, I ,r,rrnr.&).tqe hlh bman il."- /nx1t@,F"3.

dtn,al < dt, xa) + d@a*r a4,

" en-;.

E sro A w ,owi' r'i+rra.lfi":; H ,ogrb (e.,m.o) & 1,i 60orctq ranwry ar .IErsul 6 oo .tnn4b.

ryfr b @nvoryr.

@i m' I brltptlo. sa tut dL t"*t t 4pans:Yrc =|xr-, x^.,, --.l

wfltb PL hr-&t kq) a fu brrchl , ou,hnu Yto t, or&/, * w o,td.t;"4 1Y*1 ut ba^ W*b. xfioa adl, qu.,

Uaar./

tr'c :

&rY.>...)Xon).,.+tfi \' hlx. c. . 1 w! y^" c...(O,,)^.n-^lY^, Vae a b tulin fu bi,4,;,at a y.k.t

0a < u< b'-,QXt"."

0r _-+ a (fr ,rs,lfrMA X ardaa")0 l,bta. Fdn + a,L -)a.hd 3>o , i to hl qr 6* e< or\

@A0n ntypB umads u Ap.E Mhi$ ton/,lo a @,t4ryb I p e tad7tr,n uUrpd,o Am*le u w eAE.jE /nfs co,t$b U Uvd.9 t e t{ uAde. Sro lnlrcn eT dt hr"kg.

*.-+a e H.f a onodg =+ aeT.

:. F ts^W-h.9 ltc u &rtaE ,ln+rrlo !@deH.& tch{.

+ avL Aa> la )oe A H 'tL to^d19'

il=H,rfl.,.. vl4n h Bn{tile r t! ti7e tt, Hi rnptl0 V i=t,..1rt.lrul el

$a (zr) =(zr ,4,...,4f I tauc\ o,. ll .(5t) =

( s{, [t,..., !{)d(4,xir)< i,(x,x.+p) < zt h>h"

P6 noi d(4d,x4,'+p)i.t, .. i t

=4 a dl @rh{ r +d ( p4r H or.tpfde)..+

_hJ Er- (i,i.r, .., ;,k^) t(+)

ea ;r{e|t tuch{ ( j dadD $ +p), ,}sn o^'.a.- (xt,L'r.-.,2c-;,.'',.-.,yn) dntdt .rt e *d W

+ 4 , dt coJrchg. J+i.'"' x{. +7i I

f,', ," f A tar(Pfb.s,1 14 u e-- c. t, yr;l(,,*t{, {ui)

3"(x,{) = [ 1' n I d(*,4t.*- 3caa o: Y+tl ?^r dNA. E!^ld uL ge(xpt| u wrn{s.

Sra ({,)"eNeB:((x,ri) d.r tauctrX.uueXp Ft dr4i^t;dt\(V o)[ao. ru)(V r,r'n>r,r

"p d(4.', -).) ('tJ;(Vz"x)((f,r,."n a * trur\n tl).

i' {" (x) -----t +("i ' t zeXftn & ltrd tmqo {^eq e B.( X, {) , aiJt 4 > O .,

@t@

J

@

lpnul g^n

d(a,^ z 4.D d(&),+m(r).o'.d("@,+H)

2h-, *, to rl * [q *.a,pw h.auE tr?o-, +r ,,,+q. sa

hou qn:

tr Wh +ry.sdtt {:U+tt ,a ,nA; (pt eaat anttauta) a

S) a q*hd F f.T.C. a, ta(0 ='o +

f+(E:(sds' T(x)'

o. T,t(r, B(l) -+ F(r, e(r,r)) ; r=[u,o].P r-* +(?t t. xo * l,"*( s, t(e)ds

P.d.g' T(fl o ra[ nntno.i po o pqrs.t

ltr(o-r(d)t= I fir+raa. Ji rro0. , . Jnn *."uot-{(s,drs) lrds+s

f (r rtq_otsu*{

( lr_bt d f_d6 u lol $, llo-+l (el, Vte -

+ f tr. ts'tbt!-&id'1 ( {oaaU o +'q' 11"-ol dar) |lffil Do,g Er tAE( rchio.0r r?Elnudsl , l(e,r)

.,n,^ls d.r .0oa optr'uuinrlr)&qt i,,tli0rol {, t Bar{ach r f o gofloch.f, *(,t) co?r^idra{r la rnarnn'

lllt = tYtP 7l{i'41 I H=13'x' e e

q: hdg {n t l l'tu},!l4t.rll= ltt(,) Il'rr1l= Ir,.lt il+t,lil< Il+rl r6rt

Q: Il{(r)-+{t)it -.

I+fl11-g{l (f rrpd{fu)cbrry" + pwlo?Sl3-2r. El rl=r? pnhnun + {lg a ariha + !r{ir +d

3n f, e *(e,r) U,t qar i t>o, 1floe N: llf,-+,,,11.r"n+{"ls A dr {atrclt{

+ a d, blch{ ?ds,r) + y,. Cls..'" U S+f. tal qru. tr{^-+t,-> o w*i

- d (**)

Exta4dtrrns{ 4a E lir',rro..l.nrf y att,i,*,ot 4 o /o extt,r.ri6.Lf

' E ---+T

( ia. +( h,) tto,t ) tatt+ou- < ,| +fz) = o, ,tn ltulr=o tr

+, i,n +&(r= ltril [; {"(i) = tr,,r { (;) - lfrlt

6tto natar , {, +4 Wl^r ^rt.@[r*,r^ af p"b {+rJ

T: r{ f,l (on l.t ,Frio o,ia w"tru.l!;. lt : fE)=E.S0. (",t 0t ettL z,r-xJ

'r .' 5i El +esu,r drt rr-,mle irp ,ra w^jhUTtrt-11g ll s C tr-ul , C< I. *,ri- *o' 'ut*i canuuh dtt

0drndf, 1 11 LddT ikq'.d(T(,n),t) = dlxl-t,=) . # d(ru,ru) )

2. Afu'(n s ut Lsnlh:d8.Sa Ae Srr tnat'uu ntn).

be rotuitsrng tuMtlt (A-rY= Ax-x=b (*)C c lRr ,;t (#?0' s drt(l-) +o => 3(,r)-l

- W* ,auibi il ubn ltal

.!. =

= (A -r)-, b t &) q. wn yothma fu y+, W0(zl= A_b *lSH='

hrq \o rudu u wgw il lo/. War*t'F-ol g =(0d , lxr+e o( (q l) lrl qr, ,|i,jl . , t,,lvnw evui' t bet unr'. -

$) f odr"ru [-l a* j A' 1 . -*1 rrbrl

Dal 4,Rn--R' Rn **rtb:- 't-ot0x,'.

rArrr= j;ia.ial" jj rr,r,s,<

.. j l

W,no (q 0 + 0 ta wtto.u6t. ,, unrd cl kfl{tallr lnl W itrEt-r + Az-a-z # Az-E=b.

9i larrona ro =o =ts A = - to.*.=- A'-b:!=-425-b-b**=

-5rll"mrnd , t_, _[

1+ ) #b[< -- lUtr-r l- {S. Aptiauir c E.o.o. e.

d,l pu^b No * Wa,.

e$ .io*Z*'( F..'z({o) =xo j

&an: U=ij.i=s,."r Q) @ ;:g-,,(r, Vchol,rn ,=(;) ,-(;/0l* fura o^uibt4 lhuartp frAn@ @) to,rw Uyt'.

(?)5 ^=tttt) ?( a") -(Z) I F: Rt -> 1fu",^(+eTtn-(1\\ Sutt'1)l

r" Xu,tr,L:

(L)f itk\. Xtu&),+) |' l 'utb - reRJ6 , n,", to- s, to*t.l --+ Rt

Q.s:*h'a qL P Trc'[r'u.* rrrrr,,r. ;'?!l;rl;r^^' [r, a! a u^ ttpub n1]*a6

atu -it* li*t,ra, = 'rak) X;,: :,,#^ * 'G:. (L) e T(a)-u. '''"'= 4.ltd(+)/8\

orir^ ^roo{ l r lt unt w. Wrh &t" N I * La/'frrutq y tt4*.nte 4 q, t d,tu), ,-' ,Rn

Itlt*U' 1tl ,+liar'< [lrz-Y*, A).

B

[) h'ut bdadit9m. u,v e l(t,ga),

\tf (il -T(r)\1.= ttrLT

T@utlo & kiu.

,l-

l' ([tt ru,,rl- rr,/@,s)] d^ lle,h{D

I. ttr;" Suar)- (r('s)tt'da

l )

'* "r-r \ Lltaut - rtottpdt. teT 7" ?,* L *,Lp ilA0-vUltn,,

f- 5L lta'riloog+tao)

), I utai dt uoofu q.tm wt t, --s g, qorrq,

n ).*b

atontA u.t) rA ltt tn-t

.

ttu$ t4la ! UW ut< fa --+ O

L)@(n) e

to^fhh exa de H lal Qu *t _+a.+

.z,ft+ efn, { ?r.O.i oe f,f n (Wr^'aus).: lal c fl-a(c)

Ca

Luqs r,,= n Ak*

I l:* "^ r,1 =o & | z>o, I o n +ot ge o *. o,,, y,. V n,,.I I M e>o,1 tae N ai ?u d@,,,-,). ez , V ,,._> in.\

* *! e x" 'd(t'!) z + d.tit",t x* o

en n&tt, a* o.e H !t V ,Ar.rl.+o. X"- , V ael,l+3((dneruenilrytln)a.

.: (rl,) h"r uW Atthuuict ylt @uctt+ lI p lrr.,4 ,L\,t\rcx + a.

.'. H t qe$D niwa on*lo.

,a\)

I

atbt MD

wxh X= Ux"dton f *o

m wYnb ilfd ai

@l E^ 6,-tufn=[',-)

_, fil.^=p.i*& 1^ tt c fr- , tot ap! , tnolq] sru il_r Fde nihi,o 5 y c M. Dan$|l i,nt./,V^"N.

@ [u eo.*J0 pm attanhta x. v^ t fn uuadl , i tp+ d.

I. fcd8 qu^1" dillodo fi"t ialetat ao @e,tr' 3i f =.r" I Fn um"ds, itF,= d + i,t|t=g.III. TodA i,lavyuict Mliaw& d] obiotfu a16 at /nh.Elunr b, o^fust t Nn t4aiala,tu.@ el ,t(tl r.

IIf. Sa A abb ils, { ! $irama l=.i*.P.d.q, 4 U dtfu$ +> Drdn B,cH Wta u.ulau.za rn Ahg+d.

' *o .rbT alo' n lo

ao(ka.^ uCeorre Ar e le, otuu AtnLt $ aboh ! fiD aw (fru ha t@).

+ J B ta,t rrds fiuotot Ett * lr, V^ Ec hUt.U mjane reds Bzfi A,z u obnb I aE toob t p.u Az l,,h.aa u auW),

+J Bs niq r]f/fr IrL * il ry" E.cbznA..Irndtnnrtt J Bi r,s nb mt I" ttL bt yr Bi,"r < BnA. rrhn j&om6 +0, Ei*r c gn X orvratla. bt Io tmts pt tt Wpu o"aloet

exirt oe n lst qN:+@

ll -ot = 1"i.i=r* a"B-*, c hllq , Yi

o Ai, Vi g oe Bi,Vlf. oe Ar I aeB

.+ AnBi+l1@

I

@s*

@ S* H yois /r/tt|t@ wnylte. 5i l,l= l)f^, w* l^ 0,/vldst, ?.,ttonu 3 aohl op G,a\xd.

@ S, iat(fn) =d,Vel , ortma pt d. lea.tw * aliu ui/. I4a

14 pin nh"a wnprU tut o1,t y = Q 7 , fn tuitad.lr'l

'l@+ A=U'wt(fa) b ali^b r'Ae.

S'a U arte @e wB n il.P.d: A0U+d @ l na tq. Unimt(f-)+g.*d:,nn qw

+@

u=;u (ur")pr 8) pr" srn U e *"rde ,,t U.

trff psl (l tsr.oto/o J no e rr..l tal ryr ir+(Unfro)+r'.+d*ii*(U/lfo) c Unimt(r*) + UAn*(fhd*r. I

fr&tnodA g H erp.w ,.laiw ,o,artts. $nna,.

z={+,x+E (,,4tIVze..-,1c+.q. lr4(4[

@tB^*h- S.tamha]:*^

a $ r ,{n,io d &mach g (Ti}ie , tn L. n womarurfr pwm.,0.lw_, utaWio eWrsu Lualb wiwd E 0n F (r ,E+r ,t tsttara g Ai,uot)EmtrqrrU,

lrrp lll(llt +o ,

yx.e E (S

*ff n''!em l't (* ({cq: Iri(r.-< cN,.x,\sa\.j-- Irld(ed=-a.,p ffi =a rrr)lrrEW^r, "X,r- {>u sf Vi.r,[T(4lt o S o e E rn B(o, n) X,,,o.

+ lt Ti (xo+ n) ll 3 flo r V . B(o,).lzllr(a ll

= Ti (:o.r rd _ T&o)ll < ,t"ri (r4+ a)t+ll T(zd ll < ri"ro.+ tl riU S 2f -e )6o.

@ a rr un. utu,n dt p.,,nd.vtl btu-ort^ rI g= rt', ,,*r" +uail'). wiount il qu Ttt, totqt

+ lup lll-nll o

T e X"(er)tt Tll < ln

'r+ itT/i .Ej u*m t koumn u[qor t p.x6 Tnu , g or&u) ,J c>O: llT[(z)[ < Cllzil ,vr-r@: ll f (;rlll( C llzll

+T 'lrot g tlt|,iau.buw ry'.

llTnH[ r ll Titr lltE, uzl

brondo l^nht'ftl*O, S>o U i gi>o *.9, .

dL*o) < Et '+ a{$a,l('oi . P{o)#+d' f .r.1: d({f(o),{jJl'3

ta#' lp J6x 14. d(*.8n + d(4f,tzr,{p(d) < s,ea s=aori.t',3u{ ! N ,.,o)tl

q> d Git,t) - d ( +ic4, +A(e) -r d ( +i(,/o)) * d (!oi,+@) < Zu+ Z.t ! = z.

b l"iysfur^ dM >o,J t'>o i 0 s wn* ar +,

=fltS',"! ortlmro E d(a*)? d({ro,,Jd

f. t A trhnur ttl L +r 0& . frry n d ktuftt,dr Boiru hNa W ut $.

eo- F,= lzc ll I dt{{!,4p*n(l) a t ,V n e rJ tcn/tedd.(+e, e XP'l)

rotnrs t'l{ pmt 0t =D u=rY^t*r * A=,Yi'*T a ooth aan'

-cspotrrs de tln-lbe.'t.@ i.S poau{ome,

lz+g nr+ l1z-gllz= {that+ trgtrt).

' Lz(a)={ {: .ct-+ rh I t4'

EI u*n> atBWAl

^i (,,5=6. at/7, rr. owatrnL-b^ z-ltgll=l.

wran atgnft0nat Lr)rneN ,, {r/n}tlo ltt ( utr7.9, Vrre t, rrttri't;t6 /v lailD lA *l r*tq

{n_l flr-lt-lornrrmm t= $0n 1 ?r,!r dm& ( an, a, 7 - 6 ,

ilzll'= ll Um l* ll0" ll"Adlnd'

mt 11 /'rr, n. (2 qhe,,Zo{q)= ) o (,,Zt t )

. .i.

'.

--;-)= Zo.

or h-r fllqgd;dd-f|u,;-)L l8 butt grn-{rlilz= I 5 (o^) a,r f*

n=h

E

U trqP | $m V- gmtl ---) oNrslo _._

-tfi, $= SmtZ*.Nelutr :

+6Y = Z (2, e,) e,"

M-'

9.d.9,. . =g.Seo a=--! e. (ge,.>=o, vme = a-o

cBrrP.

.,. pd.q. (z,a)=o , V ," rN.(,a,)= (aea

_ $

t -. (*a> < eh, ar> _ (ee,u^5.!= Jr*a^

+ l(qe.)l= l

/rcl

Eatoua )o( iodoa qr-ralerA.ll t{> 2\ )r) .+ ) J r@uIto ortrsl3)+ fuWa^Xarno W ntuuidn qa (ea\me N no a 'slmyletc', e dt

tr@E

Hr-=? H I (ay)=o, v Ue Hl, d&ndl

l'l a uba&io rxclsliot.TcdD LonXg olnads mo rO E a{ Hniqrno. Es ded : J! :6

" 7 3 llU ,

Hse.

htttV..

A z.*

vrt ni w dtwtlo *E.

(t-X) g e E

ttLta

d!a./,lo & t,,rn

It.r+g lla+ lt;c-yftz= 3( ltrl+rl).

d trzrgxz*f rc_glz= j (zrr+rigu).dttrrgr. = !rr*rrz+g ilgn_ f x-yz

folroul, T. = =o lrx-grr _

@ f OQ s,, l,1 yuyrowt dr Hg t{r-aea qu*tor

A ,A la ,rk r maln *,x.

:- lltl'- r < B, g ) o?g1.up*qo-o !lt=1, yqr,l.

O

b) Mho chqon qtu gxetl wrunt#a ( no, la l,ulo dqutqd qur- O, O a).Sa ge m uolqrro,

llx,Ul'= lt e* * (r._gl lf = l{O2.+ ll p!_S eqt e H

UQp ," rlrurniyo, N g_ 8..c) lon :,g e Il ,.,pE tR

r-- Pc + G$.U= h*Oc

oi(p+Q.) + F( pg*qr -

c()c+AX. = p:c+@a, + ?U+ OF!.xx= p"n* @6;. _,AU= ?ps"OAc J ./

* 3to*/.Q- Pur-o* = Qe.*Bg_- ".e-- s@s :o.eA =----- eH

+ a &+ pPg = Perc + e6g.eG.+p&g

- ea: re.pg..i 9g O ,1

-0..uok!.

d) (,r,lo ?;c -l G., V e .llzll?= llftlza 6^z+ tt.ar >, I gE{

lt=[ > I Qrcll.+ tt p

@| *, Lr=0, Vre+l + 5"=6g L:t*O , de+-lnar,ngS l,(=l rc I L=of. ts.. H s..v. u.i^adg pra L t&b.rra.

"'. Jxo r4 Lzo+O , M. *l{.(*+o

I oe Mr : Ibil=l.deA'tarrD\,

u= (L.) " _ (to)ro.I Lu =o ,

t..e Lt + (2, eo) = O.* L-. = t. lt:.- Lx o.

xex 6= bQ'd'A =X.

led qmofir5 pbtrrumg,rls u (cl)qe, on lrc/t lul q omhirnr sandoum wbnrnrrle.

@ s; ,\ c A, :o,r $,ruter, odun

@ Si K, L em w,roclo, &nhmuA KUL 05 rc,'rf0cb.h ?tn,leAl ur urhtir,'ri{4b , arrbrrtt',

fUlc.UAr =+ Kc Unr .o!tv..zln'. K.AlA lA : rU c Url +l;,..,An: Lc AI

1 ^

i=4

l@ e,, ttn'*''s ' "*"'*

t'n t (an '-q^t)

t{=U Al Fl = l4\At 6 urvrods.fl= H n Al".

H=1_/Ar... fu. r'nymh unndo rrB ota-6g h o rrrnpcle + (l=n+.[.r

9q +:U+ffr 5 H rontrp&; ton +, batfrrol hla qu,+rtz)qtz)r"'3{r'h)

t {nH) -+ {t , { : H+ lR r,ohno.'+ {n

-> + u,rtrloutrmatt.

B

Et Srn t>o; Oelrrno! I.n=lte n I l{t)-{k)l>3.ntu lrr, u ulol& pta $^ U { ML tonliiltt$L' 0banrrs odrou ql,

zef * {rr@-{(,4 ? v 'lntJ-{@ -t.-ln-,(4{(J < S,4-+(rJ< -1. (wrtuwutrt & qtu 4;(i

fro3 rrr {.g, X= Ao = U Am .h=r

X0 b[x",d]*6 Yn e x n b[,6, *l +d

(+*)Wi X c nf ts[o', {].

lE urK=0Kr ,K,, a ,rrdpub V \ a> y F g*).:-rrLel

,Vne@ si r1 {,

Wcl g f:f,t-a umhmrra, m*nua | a ardodo.lE +tnl c t rprnpds + \(At a ardaas + { o adods.

[=""U*eto,,'l + f ho +.q. t4cB(o,,o) i> n b o."bds.{oI qu,

@

@l {, n--N mttrnrul g Kc 14 rounpclo + {.r

@ *ttnl ra rnmoclo an frt + e*cfw , n- n4l6nll.p,pg

l\ * l$o ?ztlmrt u^o Pa6t. *lpane:.

5i X a \ab + I znu *a qt, antt-->o.5 Y a #rih + 37-u< il y r*=,V heN.rri) =+ !r).S{A )O . gi Yl=b(xa,Z) fifi W moao ry WMn. fu } (Entroflit erisEr- hl TA &,r4)> . Wffl

y=flaflfi)Bkt,t).rro ha5 modo qttl pmbon. $i re erbt zz il y dl4,z)>f-t,d(r,r/4)>.,dlar\i>.

:

I,dmwth. )rt /\b a htatna#, addD 3 U,,Irc hl guld(t/4r)>,L/ $+tt1l'

*Yn @'honl btbtruA^ latOq.(+e j:

,tt.)+ i)U Af t rr nrc,rt ,nfu"b Ucr lohlorn rt qd, enb dt n' 5 &nr n=#^e rrn A ahatls ' l"u ro'r'o tl

14= 6 , dioaE,

Xi )X-r+r QnRAdd rsn don X 1

Fn Fa@ o,r,ttnio er*. o l{ *.q: Xi=to!;.,u o AL ,l.^.i=r

(EtiE AI a obrde l *.q,, B(0,)cAl. b'rs diq,'nX 4@).

& {t0 r ennpde. "

@l tre u bhlru, aade,ev.fie fit wn @xf.mb {.mle f qar d,(+rnl*,'{*.\-_--,...-.w_JPat 6)A= W,*\l)bL*.,*)U UbU,^, A). (rr -rrJotalmt ^rF^,{e)

$ ls,hg'a'.-\zr""la'!'

@

+ l= Uf A wunM g arus.pa & I'lE,t

@ foan ,p.i. tt rornh(ls a @WEh.E] S^ tr.r.] *n urxa Arttd^ dt Cqxd4r. bo[o/ tBno il t 6,r&Lh ex&tu\3

lq. x->,. lo o.kia ,,s din W L-)l_7 F u ,snde.

B

l@ sl u $ N aor ts,Ittech + HxN rsrnpub.lE *o r=(rn,cn)

x,tt e t4 j $ e .aMyN

5 nf,cnl (M u trvaai6) .t.q.,e-!!7 fi,lf )(5n);nr, liatt utbutuilrt" rnwffntk, b u.n, J N I lNl .l.q:

1u. I9 E) Lx-rt+', e Nz).., ?ij

-

=(f,!) n 7,e.16l si H,,,., Mn oo,rror,.le + llty-..\Hn ot onr4acle.lrj An n#fih ts attpntot

^-ve@.Espua L$a,,la.i-Etl ei tni,d; * zry,ta +,sr, Wmns l,t=f u.

dflrdr x=@,4..,x-,.)9 =(1, , g, --., gi,-..)

rfurll.r (m,d) r,r rpm n'rrtrB.

&=+(:#_,)

?nodnclv e uurrD rorrnoch.

t

I

@ txq) u u*

^b^.b\r-l o (xn)->(i)t Vie.

lE [t -r*- rgck']6r]5i Mi f enoqUocle , { ie l

:G, A on tNi c Ni-r

El vldr.ttn .i Ett . 0. ttt = d. kn rn W lE or{kuo? rra MUtu un'a el oay'tN

mutle droqunot. = ! ni, ni, --'!Nr = ?n}, ni, .- jN=?rn?,

^?,' INi=1ni' -'

'ni''- !

I

lurXe boato dr$mn: r,'l*'?r licNl (0u d.ioqsndl) hrt4a u,fl'pu.'tl* \ tnl, n.2,..., rr.j] e i).Ij.,. 1,o, -S q, Vj* *

t, u.

Eqra w't hrrr,r;and.

E' goo E c | {, tt ! (u,r.t u) !- ao q(). E tn eqrr.o.nh-rne o s.t A *V>o,l >o, dtaa)< I + d(f(,),+(ot)z { $e E.

' E ,t tnatwiliogri H ^ 4a ga;crnh-mua V ae pl .@

'5i g=?{' H* l3 c>o l.e. V ., ge t,t ot(txl,{rgt) , ,dt*rll3.wtnu E cb eyiwiluwa.' g; V ze fl,1 c-> $ .|'E. d(-ttzl,{g)) czdtag).

V +e e , V ge g(a t&.) loeolrnrb WW,tz.+ b t4aiwnl;nuo.

E

[6] {:=+ lL ,on t itro&ote.tnl q,o, {t() q [o 1^Lsnr/rt, o t&o Y *eE, oioau E a q.r,'onh-lrnr,ra.

F $_{Ol=Jr(o) lz_gl , o e (,5).

. Clr-51 (4,t,, e ( , V:"e (*s).[ffiI.nEl., 4n : tR fB.r E{r5. 4 erya,s,,fu,.,a.

-l'nt-l= l+l < d.ots: {n

->6 wapwwtnA. nt KcfR (VK rsrrrredv).lenop] 5 fi:+ { g4,nho[,,runt S Eo-l $, c,{,-..3 qnr,lilinrl^, tnbna..

E= tt,t',.- I lr qnonhots.= 6u l+J.

lE o^ ae 14 g e>o,3 >o la.[ qu',:dto)

bS p* rclo e H er6t Bx A t e b.+d({nu,+"lSt)

ir4 r*s q,r X l, auloaw. mpb I a ao,p&.

E hn*an- fr,t]Sq Ec ?+,rr l{ onh'aual g K u},rp10. Enbna E u u,nl*^mnfu. um-Fle

AEE-'FdtI m

ds& (E,Ufa csn nrfclo

Dl (0, g)=

b^ rl1a&At

stur gl"" {(a*tt)tJo

eo&.

rclooho:

'+(o)

krAodol Wq dL

l".l s^ {,par.ol

g fl- or*ode tu a&do) 1. e tRn.* f lvat'* lrt - ,r1.

nomodatt. S lh"na

t@+y)?-rrt

(ar+tr)P- aP

T::-TIEJEHI Sa : l(fL)r,-ifR

l(nr,d={^teo 0'^* ro= La ( (lvrll'+t'lvtli*rte'Y0;^ (t," ) ----f--- #; ).* vovnr

* * :*t':-"' * **

' lvavr * JpaP'o-.

El s, D(0,fi) =o, V ro- +q. rr'=o a-. o,o'

\ 1a,* r

* eur-i''.

,F')rr=o .+ Aa + pqts=o.

WL D+.

ftal D3 (o,,,r)a

DF lo' ^t1.l'@)

Eil@

i@ u+(o,lr)=rD{(q.cr) , y re iR,.

?s la hoon o,,nb' nilo}lc- u 0. D [+*g1 (0, rn) = ]f(o,rr) * (o,r). r= rR , ){{) (0,d = ttQ D{(o,n) +. s F=iR: .,,, +d+o. l-+l=

D((o"v) eret' L r tr

IE . 0(+) = 4 (o{t,v,P: R+R(o) = D+(4, M).

dr{urlrrt

l/(O - D+ [0,r)] rl

(r)r fi,ra'@\ + ()'

7.,^t^ lz,, w3.;: gsil 7 : I b@ - l,;,Jiil. 2Lr. r *ilnf,r E=ll .[.-

- i gilL(-fr,)-r"(ffi)tl

J rGI itl."'a urlton * deauct qtt & f u f ,unuobtt a4 to,t wnynlo wnwoccA g !c Y,.C: D+z)ll

? d.e' ()= , ffut* kLrr.t u !^Dodot>o bla,t)A il, Z otbnt'

dtw^l.

1r1,, +,** 8, or+fz) - {(o.,a.'J.) - S $to) frlffi, ll+{o,,.a.*L - .o- f,.talll

(a)

r:[0, s'] , ,">o.T= [,,o] , ,,ll.< L lt s, il.._...-..,--- t

ts T. y.l4, L- lrtx ll Df(+rll

L fltBll ilBrl

-

tS ll l .,A tt t lat+t, az+ 3) -Dl ol lltT ?" '- 4'g; (S,,5.)

-+ [o,o) .+ (w1,J.; ;o lru ol rrtLr.rr*).a+=,

16l s' Ie c'= + a .,thrurqMI

D{:A+{(e,+).o, cnhrua.l@ n e Rn, {: [ -rF 6 cl

(e)t#^- ,,,y

@LAru^ dL yuo,tt)'t' t;3

'M Ca,r) 4+3 e a.)+ ecns) y=k l'Xe cr,i f.p, t e c4 *' ++o.-:--

lE 7 w poda.

ll M/a)- Nballll N(oJ

- Dllotlyr". -) oa)o I

I a tgobnnk fipctuh.

il z - ^il

d .+2 tt Dl

ll g(b+r)- g(b) - Dg(b)r ll -' 9 lt nrt!--,-_\-CA''

9e! ilru[ = lt {(o+) _ {(o) ll 3 L ll S I tenorde d_zr_.ru I rcht+. kruno pr lr aail . ftrsl.r it {ll -.

,/

"i il [3 u^lu,,\cl * nUl< il I.

T{strme & [^ ttrltt{fu i r4q.IE*l e^ .,a uono"bb Ar'"lrtq&'nq qur {; fR+l}", b'4rchn I Mw$tnls qu +r(o)+oP04A .-[ wumdad B(o,s). Emle,r * u r.o[rr,,]t i,*sth, a furi,n

+t(o-s,o+s) { (o,s,a+s) big{fit{.a'1+tor) = ;fu +(({r)=- / *

+{ (+oo) . 1t()= !E " { toa}f/,uq q prra.6" * w ob;al0 AsE t7yt {:E+8. )Wqtr,s

odrrnr glrr tD{roe &Ce,r) a b;,Vctr.

i,'rleullr erat V un obieris tol qu o e V , i,V{(v) ({ p b rurtn,i dr+)er b,,trchn { }u tr{r,(^"[ a 1gnirrq g d.i.]rr,a u.cbfe.

{ D?'(ul- [N^J , b={ro)Supqom4, Pr,/uJE q,r o.=o , +(0)= o.

+(d =LD"l"^* g ArE

-x - { ()

tls,urrrrrt $ Q dnrra \ "u^^bU\ (o) =0.

LU{t W [esura o/t%io :J 8>o +q1 * y -! . B(qS) it gr.zl-gtvllt < f lz-gi,. gi

Ert pnhtrton, q(O=o t=o (llg(r

r'r

E mru^r* E=fih o = frn, 6- gnfr,(o)= Ts({td).I+(a)

Jr(+(d)=

b. {tq)t= Q(q+)

- { {a) .

$: Rh - firP q(=/s,(,,\

/ 1'l\s(/

..4tAxl

-..

q-L.44..;.

' ;jsPAturr

?,OznO*zar,n

&f',D"

,, a8-,2A &@. a&ak aazs, Q\zaz^ *t"

f,r' (o)

uZ

{,tRn -+ lR* l- u, *| | fato) = | a+z 012 -.I I I Azt Dx.\{-(?)/ L*, gr! - '

lg; oaz

fr,"'i h,hyigk.,irV e>o,3 ?>o +.q. ir6il

B(0,) +of qu. {t.l-u.)'i V= {'(gto, {ln etos"{,aarna,

B(0,) t Eg r+ g(q)+u.d. t*l r cr t,rdai

'ryJl ls. W Al q" Ltx).1 o +(=tt.Pd.q: it{'(rr)- (u l : 2_u

i=|i[l e'-rrrg

P.d.qr {-r 0 di+,u/rfuUr-

?.d.e. VueB(o,9) i lxobt: {ly = i Ir U;ptttosta ue Bto, $) aooe q

9.'.

Norql: rr- {'(b+) -ftb).lthtt < zI kil

>l: L(A= z @ g(a)+u=r@ x- +la) +u=z

+0d'a

()

ru crndon y Q.l4OO--.

llr-g[= 41+god, ( {t,U)rgtgl)tl.< ll{()-{(Ot + il g{/-gtU)ll < ll {(z)-{0[*

+ ttz_gil.

= l ttu-ql -< ll{od-g)li 9 ltx-git * Lll 1k)-+(l\lt mds (},g.

Lz)

b, b+h. e B(o, +)ll{'(b+E) - f'(b) - D{o'(E) ll b+[ -b

= ,, , h-(D+(df'(t;;:;a)rr

"",fr +or't u+o lt-(D{ rnij (+ta,vrt-{o.l) lt.. ffi, I D{(o}['I D+(d [- 4(o+++{o ll

$ tn;o pa + dr[.o