curs analiza lupas

7/27/2019 Curs analiza Lupas

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u-.(dl)- t \ - f , - , [ :1- ' r - , )

5r, b#xitb '#'Tr f, i, '-rr- +-.F- r' i(o)= .'-q,i(,,;,rt{,'t)c>-l|rT\.;\* 1Lt


103/152

ft; !EE{Yut Jr)---+a*1 $t. P,* & cP ==+

's) &i rieeotr) +gces(D

n"t& (J, ur,, d",t6;Sr*-

/ t ( { , r) . , t ( l ,e) + =Q,e).ftp'Hir,

Pee4 ce sqe)

'trl

\ ^fUCIr&* ;/o.b"ftb !+ | tr b/ ^\ / i \ l l"fn 4 c/.trJ)< + 4_Jh7 [[ + = H(a)a(^)".rh

-f,4.a)tf)

.n6b- lf * =JJI 'l-,

l l ! l ,c\-Som ll {JJI '

4{.( f , r l t .ntutJ;Lf,h ^hqr!lt- ayereorca

= Tlot+,O/e.CIo)J* *t .J* a t !

:-. . | ,9- l l J-+qi',Jo .J n. ' t ,sl t J -r 1l , rtl | |l IJJ6 vr ,e

:,sA,


104/152

1fl l JT,,J:tr :I tl t +Jl t

IrvtrI r1J*IL

(E)JI,++i l t -J)=JJolz

- o{>

9(< Q.

ltl l qJ)L a' -itt \c \,Jrtro

l l IJr,l ,_[ ( ,JJot

f f+JJo*

t\

i

7?y| .lti')

\=[u, , t , ] " [ . t , b. ]il " n""L-m lt ., r " \' . i.- il+ =: ll + = l{ fr,,r)"t*, * | ""rk,n)..rl,u.Jl ' /$ ' JJh' J' d J6." J,u r ' . . .1 ' d

Ior,,,,,.*{;,') {fi.St:

^ -- I I tl . t r t l l lLZ{rJbU,

A

\-/ I

+

5.6.

rd)

l*. qagrir*t---b-.- reT.

aL0


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EqFTA+t:-tf, .')

lT{in L(5 0 -=-** 13 *t'3"t'f,

3=rb)tn)[i) 0aca J L"i9t"u(h { l+l r"h7,--"^ttbI.lI^+l

.IJ.+Jl: ri+-r5{ 'x -Dll+ l.:

l r l+ Il l r t l". id

?e t*ft) * .^'.u{

t , l il ld l - * l \ +uJ\ v '$

;

lr)I.,t,) ivtpv$er, tt")tr)l") ip \, t )

v*{rf)* v5[t) u\.t{)ou(ltri;,.I, " . ( i ,LI )g0' ' /

Hrt+) .rg)Jrr t{-)-r (f)

*RLf)vptrf

uo(t{i)i r , , ( i f) -slt+1,)

D-^t2"-?:-nr -" Ttryi) '

, ,r( t i r)'1tt) t f+)rr4t+t)-,r(t1r)--*Ft{) - Mrry)

* , : f 4 l ,p)-=$,c; "11,e;


106/152

(waixi)t:- -

-> igTAPEHA+..r

Y," + r\J4 J *CI,9.

\ =L*,1J. oo,Cf,: [q,ql --re *q)- \ t ' {e,r )&t r rr '"i lg- )),,{G,3)&

+ r"h,$"l"{d

,*q-)^'lv)

\1u Ju. , 5, ---rR*,}J

"r{3)r1J/,+-lJ"V%L

l *Jrll' tF

;&*

tyn a*,1"1 J ' * ",JJ[


107/152

;

-

a ,:( f e) e a(d' ,J"J sia, d*) =/ _ d1,*1u

\

t , r '5r t5 ;r+ \ \ f l= l**3 \U=l l t/ \ ' 'o t j fu Jl r t( f nb.-+ l l {=1""trl N , Jcir

Cu:Rst nr1or",*g^. ooe&w &it&tE,

-F ' ;


108/152

5&.(f)

5.13. oERi{il___)_Ec,p4 s,r d. ,-;oi"i. &k&*.. ,3ffr .:>)

(-) ttrc ,A [SJ-" c{rArn> a") l,) [o : U V nq


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Ela , @[rlr. uq sc+riMg*e E-vAr'Aa,d)5,. U, v' e ' , ii T'u + !l e''' .jrlte,.nr*/.,o.- l l -7 . . - . . - . ---- . i . / - i Il* hrl r . vr---)

-:--1 /_ >J I

l t t . . b1& C cV ffru,- lyrCLtt lrJ '7; c '----->R/ |- -

ff*aTlLr [t t = // $"')'la.t trlrc, l l r . t1.5

J;- L* J,^*\[i.r, i.. ,

^, . . i l r-rU,utr j l l l or(' )I' *1r, tG)

&* J-*''l'- t( !L d-J4,, dJ '.J


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I/

i\=$ I ' / i ' t . ' ' ' r )u ' ,, - -*\ '* . - ' ) ))

I l . i , -= I ^ t '^ r , ) . l ( , , - " , ' J_.J,--":. I ^'tlt+lT JL' ' l ' i ; '

cucs 9

)1, D@iiin' '--[ t )Y" r - ,e-f :1

8 "o-'rra,-,e c+

6 t,^- - , , -" .1 .r - t j , .5.- - , r , rq^

' f t - , i ) ; 1 ' - i t "3)1t| , " ) i ( . ,q,1 )-c i ) - J ,JCtJ l- ! inr . , . , . { i , , l , .gr iai

tit)

Y.i ia

.- -G L.

{ c. ,6, i ( , ,c) ol .ooui . j . /*j' cir.I i J-cLi LLL'D.}lkf ix ,Yir ,c))

rcutI,!--UrcNfuLE'+ i l"ui-h.i|E-L Ci!i::.-i115l - { 6 - ,C

r o *. &fr,r4.I!. f* r' (i t,-ci-et7a'.>c,r 'Jj-

._\ -

l..-D oe ..i /r" q{ .iI

T,fr ' r [ . . - .>tt ") Yir ,c) -," ) 1[ ; ,c, \=

+ I l* ,c) -sm

D' +*n.Jr lpn'{ t ! " c i* ,r i ,* , -4') f - '-l ' '*.'1"'. \x) 2l_= 1(n,11, t )).-\^--SS + = K 4*r,1r do.,d..\\\l*.t-.^"o cst^^r/'^*6 />-w-' ---v ' "n '(i) +. L,.r,.J.sq^,.4-qE," \) e) tl-a>o + +


141/152

,u: [ --a Rtnl, [-oj,b33- P.4 ) a ] ;*3"-laa, t t r ' '> ta, t \^- / t ( i+ _f C(j= t-c,"-1) q-) D),tT - \ rr{lEaPBnA (tua,ru)

J:v--aR tM*?oA-!ED:= f* t r t rTxfoz, \Jn; ['t,53) -> R, o'c?)=$ o4t-1r3)A1 foe,{3 -' R *\) =-K-+*er?)

1>-r / r "3',/ \J*. '',nl

II

iflIIii

4@t^{(Td"d,t

d,, L-5.l ;=a3

,#Zrtl,k- gffl,L

dxd't (+- | * Ifi* 61,9a*d1J4I ' o Jaa' b V

5!\uft*,.lrt)rcq"qII LI;(fi?e,r,rrdil

,--A?b'\ tL="43

obreN,nhi,rrr \ft [c*r,tti t ') t ,^ l [ - -P4)

g

lcf*.{z ('1 6c d * }r^n-reu. oL ft,r-tntorl.i t;" ,r, (vi) '=^-,n--e' etr"'^A^ t c uuii.t^f )qu < rr / r t . t

1. @J5S,*rl-'* o'r.


142/152

?aoPPi.r^d1'Gt(,^l(a')0")0I)@)

-otl-_-*rf,u^la, + e u'O,rq'"-^In' *^Urt)-c- #'-..b :) 4


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145/152

Qq t-*&=\J L9"\\ --* -;1^ =1 I\5 & B\t{"b,^A,=HpD.*-,

*,*)Btulv):; ffi(^",q

t-,Ccu.^'r) I

-> ---5A.v- t' D'v

CFoa , ri,=J '"\/4+B1c- ^S=.,f

.= \('-d- co,r)b Ct'.,d-) ' --A(u,^r)? aBtu'''r)S * tCut''t) k

-, -)4"6 a-u-,16ffiX

a* ll ==/

+A

-)14Au-xM

-)n4- :: *l-

G'.e1* *r(*l i lz".Bt"+ \aE \-- nZ-u=lL-ht "14!ffib WN."6*-Eht,^r1't *t,=* "*f:&) "ef-+ru,rr)l?,,tr=[Hf"lt y;t=f6(u,,'"u-):,J*^.-nl*R, '*& * *'+HI t er.p^t4/, dlxrvro,hUt^L^ (ie( *n A

^\8+X: e * G'8z 0,en'N'e( t) /). n /7 , '*+'G d n.,t .n "fu' '"7tffitn(r^l A: D ---Kj ; ,f*t'o 8' ^' A dr^*^.^ ara^'il;\JI @ok-Uu rq v,gre3 ^(^) ?.'i ; f'.i,.^.Y- dL a*{-^r+r-kr a-Lt) -fif,ras


146/152

^lxt^* \*n --a-c-\)(ueT=tr=,?),a hhfrs =-lC, ,?)1+=1c*7)3+=l: t '+\=+- e=ll;** ;.y I E*

tU^l o:! : - -zA ^=f lu \cR3

l l , , :> l^' \= | l 'z- [o t lco , ,^. ((?a,(9\ = )\ {6; =$- ' 's

(n) of 6 =\ h ' ( , l ' . ' " )d.t-

n - olax-)aJ>a' \. ,(Ftttx ^"^S't""P4'-(

'

el-xl v-t Xrlrt o I

SJ-b*illn-. _ n ). o1ua c-t r< b d.er,,!,,.^7,, 4' fol ^{*4 d} Y- |(^::^/Y I uuffi (o) =A''-- t- c U 'i :u.+R ro-^, t rru^,cff + t*t'*,',') t frtu;v'117u',!,)@0(x /r,,,x,er4p-'' [+t^ q'A') a'G rd .'1'1- r"fr'y*tr'--[*,*n- r if^* o("t3*'to-d''-*4'L Y,^t*-^L"f)(*) S' { ( t ,v, t r , rJ) jIf rfx,Yr ) :-t.= f{(x 7,ltr4))

.l


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l. t ?btu>4r1E C+')e\a ffi, "dt t^nlaX-''-at^'x,e

d-o l,Lt rl?e'^^I""fraDga*n arv a4 affi"^a;f +do= lf+a" (* 'Pll' ot''*#*StA Pt(tt)[fC*r-tFG)d.s* Ifr"r" F51. CJ)n \ oF@l s=!nuf= tr,oa;"Wr_Tf";:m(?'L ;\ Ls- \1+L,.,t)ffi=frcis * $ra*)r t t^ ' r t1 sr .sz sr \2

W## d:'tJ**6' , t's-ntti, ut- aa d'N'"^' "nnil'i,'t'L

(y) = o\i*- e-i a \.,1-or i , [ -o,OnR= d\ 'o ' .u '.Uto.r.l'e -trW- *:1il />'"' +^-,+, / . . \ d He :: r ' \ - ---+11 ' \f* ) r r ( ! J F1 _> _mr(rr) . r-_

$etb rn" S --apl y'Xlt 0s{1it',u.,


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g.+. Mh'q^'r'!--(,:T G,;) F =@,a,K)'u'ff cs--t ' 'u'u*1r-: ' l lJ \* \'-i,A *rJwA I cs1!-xP: , /v"pt*-"ul"Ia '4L 2b

' oltu-,^. d-Q n-l'ana * ' f+1"',"'f(,Zc*,y,*)c-q.l 'a- ' t\ 3 t u,t/ a- c'tt->'\)-,Le = *u n* ry &r-AN'

|, ( [ o * (n^fi-+ 4 Gttxrt ratrtr--rvo-*QJ^'^* d'^ A^l-' ))bn n? 5(\8^,,,-e), o'{ ?^^.a^)!'*a^) *" \ )o^* i ! ,o, ,"* " I )n / ,zO 7Y


149/152

\nq -Tr-ztnA (G+'tsS -:{TJoc PALS{,Jst ' ',1-.- - ",^^4Z JZ -o{-.snaa-i,l-(t6|-X{L i"4 /1'@f7X- Lu '{'bp'r-c' / ,---a

3 = O.P o n4r,oJ ob


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r'/' )-d*a4: K e a&d4 - \l R.(d.x -S-\J@*oJrr+S=4' l' - Ko .',a,{o,.*fr*t $'.ec**',{",t".'nidx8.t, T:e.cgr.'+ .fzb zs


151/152

O lzt( t ,1, t r )* = ' )o,'^\ r.JiQDJ

-C\N"; ?l (,.' ,,'(x"a')*l t^4-'ot

? (1G)r Gl , /"'c1el a6)) YGrc{*

d.ftv - c'ttd4\ll^rx,t)f#3 Trr*..14,,"0ffiit I t-^,\,*)) )sn= (f I ry(rryrJ)J ' ) tl0z? - \\ , ,4

lu'i r- n^'=\) xS

3Judno *2, dtd.x nx\A"a5tT t oxf u c,.t u".-ai''rQ.,- ia+*'s 1,r*'

'L 'I LcIi -

. .-)- ''l2t

\ "yI \4 . .Q11)i . l -o [o,?-"il

t+eP, t-\Y L'-, -+

,Ylql}

Y.\ I ' I 1 (x"r, /,_i _jJ e fo,


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curs analiza lupas

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