devre sentezi ders notları

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* ,6g\ q- ,.=\ 'l i* 1* _? q &\.r\Y,li., :* q NJis*-'E -*\ -, o/-5-) la-,'L-->.r\P-,, "j 3r s-a-"re,' *"

,( ti', i' '>q*.e -%'e--{ry-i *-F*,*i{ b*v.e.ler- GereL\e^ell[r ;ga*t**,g i

"A 3'f.3Fl.'*t ?o-lr "1 , + \-> [c

aaaattaaa

o

C

a

J LqP'\ SaAe+-2 L*,l, Je;taa:,\vrl , *.**i..\t_e);re "'o.Ja.h

( L- L, ?*-c , t-c) C-,-qr{ } t'r:J.is-f-'-! o,oro1 ";\**-,r*-eJJf-L i -^ L. J*, , .- i --

'rr.terfl. , 9i)5*'?a4i]"

L...",*^ a ;,*'''{

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2/67

fi- {s-.;1r rs*- 1P,, i\-;l+lr" * l,J

Ftsl = (, (s-)2 (52-*s_+1S .t s*3;Krli[- F.u[o',s,l C..l,J,..'er'*c,'..,;i,r...,'4t*

-* 's.s1i o,,G' *, f ,, .il- J.. [$s*".ti ., "{f ,

J J u**'l t *h*t * 13

(_f /1

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3/67

?';;'t'N

F(s.} ___>Fts) = ? u"

Jt] n {.= o-}(s)]I,l'rf u.tlz-* + *,r"r * 5 t|-o lrF=o2 (s) = o\f ,2 \ yJ !&1' * S 5 Lo E!-'!/a E*'fr' * S'tc. |lT' * - T -" uSs tr -t$^.) ts)= 5 .tr^, lTkla * d- -ZL - EJ2 (jz*.*,- c-

- - l{-_ ' -L ["I'J Cr...*rz E c. t]rQ^,rr-r 3 -5= +Jo..rtr t-) **.t

*l ,i-:t.r-i frn *t'*c i:.r t el' * ldu';$t-=T,}v. lLtL-rk \JL" tlluTt.t.;, -, n',C'' -.,1^=_2L),J,

l IU]--' f &l'k- \s,lz L If ,l,+- T \^r 5- .urgf 1 L- - tT,), t

't-

Oa) a"}2u fr*.ats[

L-l} ),c isi1 2-q{t9J)1Q =1 ts "ffi#,Li"'""-- ao.-'o^iq IP-a-{a\')t,v s\e^M 3 iriai otSX^,qs;im, ( e**|"fu;t'. :{,tqs, j"-,njPert L Je gtr t=l - ^{ p-:;l,f d"r hrL,)?I

DufslZoii- f2,i

r. :) **i.( *_ -?. Lj..-J['1, q,LJT-U

tr4J * .2+ [ r-Jt' \=) l. rop >o3 ,, - 6 ,J

I.br nPeJ"nsbi, c-'i -k_",1 n*'

oerVctes:.,,,Lv-J,r.

fr. .e* lf=. n *l}*3, flee'l

U,u * \'] afcrs ti*+,' 'd;i-"

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']*"j;f T*** i c\*o*u ia;'.,- G

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T-l(\- ,+sN M,-s.Je-!)/a# *--;*..-.l.4s*sh[ M, - stJaQl+(5)T = )rQ

dusrc

?eo."-

^L o i\ -+s + l-T '{*-,.

}4,= sh A4r= 4

a""sae J * J* r Lu 4' *.k-N, =3Nr-L

,)(

5 j* b'j "e.*"[ ;r*, |y.[.u,=3s ,' *ur=*J!, .,. +'*t 'J,tl'?r ')

),(n*43B + 3'*r?' }r* )o I}f o+l/;f ,'a"*.!

{ ,,-' { *){ * t*J'+ l\ '*-{ *}"+

* -5-t

t).', *tl(s*i) i+}}}, etJ u *J$,J )i* "ra*), ( *^? o])

A&-.CJ),4 :^ t)-\ +)_

/s=(. n__rJ-'{- x

J']= Q-3J*/k it;'h+i.{*y-u};jrlti,t-"

---'x+f [ +"" -'t-t']4 +i - +). i-*+;'1 l }Ttj+sIlJ-ir

.tI(* (l rcF*n,} ']:,'.+,i \-. 'I

-{, , -}N,Ua +Sai- s',l,HL- sa,}*lt_'- sz'l'

* "l= Le_iris)i I ={\^-J

o$l*-' ,tyrFi*ko'{up y*[

1..1, " -N2 M,/.{r'p:'?"{:*k-:y}Y:,

}'lru * *';-- *.-.-.

2. H"j-.l E J,D+ -?t3

's,,J,r.,,'.J* i',,jf,' ':dl { ''eo'i

,*L

ttttIIItIIIIItIIII(IIIII(

{

(

(

I

(

t

(s }e'ne ;r". yo*,f,.}

qilM*=5 ?. I

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(sl\e.l... *lu..,^.*.., t *\:j *\ *o, :1 :..ci.*. :: ': ""':': i {*a'* *"'', ! o\\."*,1(*l-j :-" A]+* l:t b\5 r\ ;*-"'' \'- *lj- .-._t\! 1l I\{" ,\d) ? + \{,:i-' ,*1r .,.,'{* i.*^*i, (J* e[.-s*'"^,"{ t i\4- \^'"_'2) *(.-:(*. }.I1t-)7ir* *i'*-*l'

- E**, J-iur *'J-} ir',._* c'''[ ^ /*?-*"}k -T*t\*s'"

l*rl , - ,]L.e'*i; Lot' ina* r''i:';\n*.-75b7 _.* [_il l_'*.ir it]::: .,o',.t -n''-nlJ{S} '5E_ 5{, /**., ,,].:;,{i Yr.s, .-t- ,,1J? " (}'....*-..t!-:,-: .! ,'rJ

,. * s,$L/' -YS:*JFd'+*/\*,14"L / .''{ Iy"+'I,;s*-,*J'1i ,*.-

Jj-/iy^lks 4jaJ

- {b,tr-r..,ine ij ( l,}+3J -'" i le.^^*Je-{-; l"':qft-'-'\i ;f ; l( ' , i i , J;--_.\ [i or,,4,r !o:.-t-!, (o/ .s]f,./C-'7 J

t

( ,n5.' "''"-r '. ' '' '.ir#

*_

JoJl-Jq

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o/rP*Q *s? * J "?s * 2+3t L1+ sL+ /2s ,- rs9*23+ &sa+to*fK

&q2L 3av?sh3a

CC

c.yUoY-lUaY-l\)

,Jo30

,bIdJ b-a.{

te__Jc -qJ

-t;s,*}L_> q (rl J,rplo^nh ;/ aL '*- (9. k+ rdP *Q = 3s3 t 4s' t 1s+2

Y* ^q-rs-* {5aaQs' t 4.3s3+7s l4trnz* _Jt'* sdr-Lsq6"'=*-is'* reJu/2J 3l' 0 [lqJ-( . .'l "f LJ' / on,,.., f,r*,;{;J , }' {quln u.,{,,.

', = 'Ltl { = 2sz + ?i,.=J*z+ l ,i = 1+3 ,. j,^i* !]2 '** }!rf'|Zt '':'(-w2tl),r,J*a+f + *,? (-2*a*} l-rn } }ro 32.-t -n.-\ + wL+ L >rc + (-2=x )2xs-A'XLttx+/)o ?.l2-7rz- +8^L+Ex+t}7o i n la (x-zlL * l'nj.),c-2" ,lrL-J'x o) * I *L)',. /' |*r6vt-z)t+ * .,q)o /

ls9' 5

Ss + 3'+3s +)J* sz+Qs+f

* 6-

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8/67

B [u LC beviui' *9'r**''P.oL+"..= =^L*'*^t*? *T ? ts)l = ;'# * { -^ 5- |lJd * ouoE'!'( - a--67 *;-, a c" i;f -. _lT,}'(er=o) l , (-=o) * ,e* 2ts)l ** L**'L4*-*\ / S{- e+ {e G)} \ : Le [;g*-,)j +"1* + H, 2*,nat{1 =Q

=) ar)=*^ov61qV AJ_\ r,.\ 'l-7 l=T

Fes) = (s-j s''JFrs). - ( -+, t"/ -il *{. '(-s)- GLi^ on,r. * "o_- }'{...p /e- J,, e1r*.u,..# }.o t , -i *l*ve ,}. -l" ' Jo s^r91.'- J*$'$,*+ dn. 1"*1+":t*. :J** -\p_*jq *|**(^'*1 "** '*-'+it'"e: $ , }* -:}" fu*- i:; ja'i k f-5*J! =c L'u'/*u*f lTf" '{'Loy*o 'h'* [r's /*'/ryn" &';'r

t_ nZ!9 L* ," ,, }Jt-ruL*., a.-Ju,', ft'"{'4"n

-a-

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.FIS)=K, l#-o*3} . tu'**i)(.'.*pi) (sa**\')

g (..^.,, (. l^, ( Uq

p(s) =

D( r-, (u-".( u5

L=aLla^* tt^Ld*la.,,.,',," Ge-c,eLl*.[i* t\,.^_*si=*{*, b*vrqh'i l

-,ierT-

7-i R \JPe ,L ---J-

((aI(ItItIItItIII!!tttta!tttttI

o

o

oi

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10/67

J ea,-,=-).v-e\es* i8i-.v..1 llt S5.*t\r Le

7/27/2019 Devre Sentezi ders notlar

11/67

uo [r.{*-*E)=

(sz*i), {" sa+gi

}t).' .',*r.-,, - i*--..a^l bev-e

ta\

s ( s2+q)Aos{er T

F..(r) = lc.o=* ++ 5tr*\ l s)Va = lirr -_-- = |.r \A=strrs/l=1:-=1&04+2\=k, .--+ t| : i- h#.-::-1}=S"-t *'('

L

i .Ll- 9q.,9 ''*.,YsJ

L

',- < 2lisrts-\= L-os-+ + 4-_-leb"* J elo-c" ;J;,t,r \.- tb^,v*J*L, , s1J,- V L*s.-1lo*tLo{ u-1lor,.,o ' fiLiL $-*L*s* d_c*}rl

- 1n}mv- aler*o -,y't lq L.LF'^eto,'3+-I (ko^*,iL "b.d 3. u*$:l *,2E- ut+ Qo3

F-'- jt, le.T, (b.

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J .*\er :s-ko-l,-'*}n

s{-j+u.1''(5)= . '-d{ *i). (-J "t'}+:l(f .:b \"/

7/27/2019 Devre Sentezi ders notlar

13/67

Cq..,e' fr q +tosz + (._ * -2i --i q,v l s+s31-:--s'r* u' ll.'ns

- :* 4.JfJ-.----Ji * l];ss(" r:-; ,-j4 /#'' -*, {*6 19rr-6 '31, ,r*} -:nce)2 (s1' u.* . *.*|.ta4.ite(t*.. ".,"i^, V.:i

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C.,en'Jl

r'6lJi.*.Ir' . b-q:\4.. .,;*Jrq-.k*l*_#lr't'""'a,/' ,\o+i-" J?'iil"..i"','efi ,J!-.,t*'-.:r,-.,t 'r'a, ja' / ]'i.*,nri,a'_.n|** |, J-p'I-= _&tJ l-k:]*r"A\) t,.1|ffi ',d\

(i: LJ.i /"\''.

\e\jfi')77','. r/

!"i/ _Sx*2t,..; | : a-' / - --;. j- *5;_L

o)kj

(ti'i se'ili*bi*fr,er

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15/67

35+ Qf +Ls(s),p"*(s)]F.-(ry)]b) /4,ninu,.- "i,' 6 ah.u,k ,f":rre}hj,rLb/-J;( NaJa;, JL/ i.i^ ne+J,J-L 1

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.3) (,gq,- lr [vs, 'l*-^, Et._U,*, [r* o'*1,"{ )Yts) =sb,.W_t*"t s6*!sV*usl+l l,i*sP"!'' j'F' :-g"-J } s ' *-*, q=.J"-''l",-

. 2s*-s_+' / -1f.t ^f- ,_ /ll}5 .'.;r.n.,-|ljIa;"--."1'4,J'- t+-a :' l--a- 'i *i '" r "nds',J

daJ.c

-': ' '' ' fe itj tl]5}

./...) &,.1e- TJ*lttl.sq +sa Qs*9#a&rI-, .iG ] *c.",+"ti"..-f7-="'lb ' { r-.; ct.J*', f_} { iI nILJ ] , Ilil ( qJ-ir*'5qqs (4d1.. '{, o*u*J*',3q3s - lb

'W,i ,j.,o&.i$sind- i * :,; 'JyJ{.| - .'3Q3s tb ' '

ffit{T1It5)

*rt_

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17/67

?ip- L- ?-C [ 2-L)Cor*- _}-l-LJ..

)EzgLa,;JJ Gn'.;:l*lac

ttp.* () = *

\( .,."+, )." {*=**(s) = r).Js)l(l**L) "'

,3 "{J*.( 5)

-i .+ -->+'*' +-}..*lft,-*r)

-a.. ISbs

f

t-s I IVLL6) Y..s] r*,

".[s) =, L* * L:-J

Yc (s) = 1! v..o,rl.*

[c T.. G- e^^Pe do.sF-,^'\.*LPb-..r, ".Ju.(s)=t*=*b* 5ffi,.)..ts)= k_ *b * - LP-+ ;

(u T",: Qi.,t AJ;r""s)aet(;tt", r

]a. _7q Vu. *Jlrr ,Jesr-}e..v'+l^u*a..'.- -aolo-' I.^t{y.^A^J-4-}*t:i . - -:*t a)(J,*.[")\Vl

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18/67

Lc 'i.i. Gi. i1 AJ-^i+"*( t! T:i t-.it E"***-")fuk5=,lo-,^,^ -}e.lt',[ t=- i2- ts}* L"*s o !3 + 5* 3k S''L_-'JYo-cG): L*,r S,-1ieu{S)* k* S *

lr*L- -_ \ \z;g4 N-Jff l'' lII 4\ l-,',i{.-- -J-.--l "--.*J f */'

|f?."q-)t1-,c

, Y (" i*.t*t

kt t. rv\*t=-rtt"-'H*.r,, _f-l"'/8, ?-*--^. \

I('ff

.ci fL-'7v +,1a(lJ

It-----:L; UI

1y t;^* *. )

L.i;l 4.- :--'i rn-,,:]'*\'**is.",': M-f */oP,' fJtr,2.;;( }, er:..< ",,cy' Vc. ' 'i'} / f pe |*]o,Ln, buy

;eIre

aL,"f'l,-

LII(i

J Jli

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19/67

gp. ,o-l+"! '.-+" 2e {3

*l,i* -r.iL^

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20/67

2sL+ i2"c+{'-}s (E+3) sL +3s(Lr* T

}. sz*,tJs + {IJ.'L * \l1_:S L+3s L 9 'l-o

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tlQe;Et( t-f l-rLoT7;J llLI -- li 1\-y-.f )'

?tc\ - 8*+'lts+{ L6"s * ('ts2+[slc.Loa *U,{.JaL1 Je.*e i\e"5*.^..J,^i>. (b,B ,c, b 6ce/-e ( e-.g., B.( -.,..,*..rr)-G="q) (:*+ i:=- ) Jzve l, 4..*[c(*--\,i,r .' J,.ia (k"b- tsg -oo*,\'",)

*rye "b.* } *o_ r* L(-z=*') -)(s)1,=2' .--l52Jo:.Lrs) - 2 =2s+lY,5) * (J*:*s+l

I :--ls+l ;)s+tS(3s+t)

s*{' :2*

( s+' Y,(J) | = -r le},J} n'*gt,J J 'u $*

Y:q V r(r i -' s-rlt__

, f C )gsz+ t{s+l

'aa-

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J {ri k APu }Ev LE S gtrea

3 ] i :j ?{]:;- \

'\-1\).,= *+t(r \.rl^) - 'f^ L -

-J{D \J2+r-- --i\4. Li}| *r} ,

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23/67

L; = {= _j*').',rLr*,

= (,-j*,)[,, ,rfL tjfjl_,a [', 'J li- r-)\J-, (=*) {,3l.,*., ] l" l['-, i,i|".' ( s1*;)**-,.l L,J

''l::: :.J[:.J[x' i{,,j*4 jir lit, tj,,[ l ,, -KCrg-)J =p, ",J[r-f {,v-)Jft iC"u-,1

(^,,)frr7r

f,, ,r.- r7 }ori['" n]l'* ,]

8"1

* [r, (.. ts,.-p"=;l+) a-i,c^sfer C*^t. =;lf -e-)o. -^d_s *np', i',, , p{ .l,._"ht',?'f iaL j,,.*-" X 0,, V $'''n,.";tt,n^l'z f-r^ k ' .l 'J^ U r\ J^ -f ,, +Q J'rio, " '.!*:ii,"Q.. Ld,9lo.,

(^"o-L

,{nr,. .'.r r',4 L'A - *r,*i'*J,'.,J.o. L*rlL. J.*.., (l^-L|, tJfu J*-4

L" )'Q L''7Q{-1,l,"--r'n,r.',.J jA,, r" - ,u' } o .'3,j; f*g*lJ

rrln

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24/67

dl.Er- z(, = bs+l5(s*3 )rl' \ '_l )-t Ia ) 3\=-- V5 $1L) / ( ) lsz- =

{ii J,, , -j_--5".:.;ive,i'l.s1 2,E)^ilJ=- '1 -'-]- .-. ,

{v) J":=

(s o c ),( ;t'i.-*"s {s+3}s ( )-F-"),J-" -]- --]

*yk:rle!-..:$..:i..;tr !' r. ili, ; -

l;J'] ''_,i., iJ;

i |"' \r l'#,; a"!!..

al---.1

] , {:'",1 -'...i i'_ i\Jr':

4') Lo[i,...-, j,:,,*] (-s+ j ) l{t'(j y.t-l-j-1 P s.r

!=L,1,.

J-

-1 .! . - ,t ",r 'r' -ia,.^ioa,1,*-, i n,' t,r-.-,{.,r-* )t l.,..etlrle )

-'. t".,)i^'', +(t .l- *. .

l|'--1l-l'' I I 2 \,1: 5 l|| | ' -, ,r V2' 5 22n. . : =a 2"*)sr^ ;"'.i -:, _l:&f1

i. ll !h 1 9( +v rb,J

!.,.t t - ' i.-'-t41,;iA lq 2^-,t!_-j jl-s: l. '--)

. / / .'.J.-|I...,' !:,*l,". ( l|( l 'r'i,:7J:.) '..5 r ' pral"L *] _P - 's J' '

J,:,lL. "4) Lz T. i {.f

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L\L1 -l, . \y':'s' '= |N(- 3 *h*r+ 3!^,.,ua = Ar-L

&q;ri*'{ggra..,-lnJl(p^,","i [ (:,l Lr* Se^{e+F

JeJer.*;r'."4_ \"*--- ._*ra_h*A) ---- Lr,-Dtvet A{cnaiuu&* K"F,\,-}*u-*./t( *x"\{e

C$c-irgSra^{e,ai^a

},,= (2"*e")nr,'!(2r -2-)

r ) ett !,e Ar, t . {iL i.e ,..*, *,o[\*i \ ,. ,!r, * [*.r*.i\, nnk Jr.;. q'*( o\,rr..c\ *,1 '",1^i,'--t+: ( f

l-" a'C)" zll - a226s 2,1 + 721

L

+*:(

I{(((((((((((IIa

t2* !R_ Jb -*J .il. \I J',- J"r, * p . ..) (;,,

2(,

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26/67

\) r,,= sQ -u trsz*l . 2*u+lQf 's{s }+ !)i L\-..'oJ.'-,^ d..s{ez ini&,a{i, ,te-r-,i '' )

r r I ' - -. Ic\r.+.a-.-C .Q-\ qL.'_/ '..J t\!{i12.' ^,^

..Jc =oflit.ig 2_s

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27/67

2-) (D.u*J; l*=.;:1aaaataaaIaaa

l

o

\j_n

Iz +lJz

ve. \&plj [._ 2.l+{s+ll-' (s) = ,z) mTr*q)

i*,- I2 t" ^ \14-4)(r*z).)r,u) [ = L5= -l

- f r.\c"''\ ).1 =- -Z-r.) I )(s*j).,1.,1s)l - {3s* -J(s.)},$) t^ =+^ i_ &, \ -t\l l7l:* |3l__ 5+2 s+ s+3

),211 .l-.2 .5+I

2.n* 3=.3

# }-'.r,-: ** 5;; I^u,- 7.&s5+Lst+ !s+:

c_ ^*,tt-r,; c.,'r..\.J &'-qg',s 3-nL s?+ [*"*

o.,to-,r,{;,;}., t.${ ( ..+ Jcgfo^LsJ:,."J^J ,r** *L1.5*. 2*t*C ch..rcJiolJ L.refJe *|r.i?, "Jt.,.n L,.i[ }- J7, *J*

t* ' c- i ,* r r: . ?" n, , |^ .'. (- .":.,,.i] a, . , '

5.(5_) (s +Z)

!r Qa ,. I i'.,' 1,', _:,llV

0*'- Y1 . ** 3sz+ Lls+llT_*-{.'

(s)e ( s+l).lslf 2s+e) -^(s+),JCs}| = ---* ,5"*i "' -i/-. i., o-,1

Y,t5J= sz{2sr*2- k{)

i ,,1 il;'-1-t.{

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28/67

:(s+2)J \l lzlS )= Y! ts ) -

oNe< .t ..-'' il''\za - :--,-+lJ

rlI --'/r I2,,

&,:*K (-? i-,s*3)J.'+ 6s + 3- l':).-, ,' )J,

o-rr) s+ (b-(L) + {3 -3x"JK,t 2-'+ ir*ir-

, | .;K n. cr\oolpc-P, .:b ti y'] . j'aZ,,,} -l- l- e* ( , ,1,).,r As.>a-.n i, 1Ll a' i_., l -], ':e{er z-.l iuc.- 7ereLi2 -

.- -.j,,.*')

4l+='' = -l*Y -\ r,-l r."a./+.i=t3-*

,.? ';--)' ,' *,.: -i 'i {'}^J (VJiJ

f.' t/ .:'L,,'] - |t4^,' r-":,tt, I* .'*r} {},f a }P,, , (2-k ) , + {: _:jr )Hr= K*'+ 3K

;F= (.:*A!(['Jr" = l4K

J f _ (;-r"),-/ a 'j*Ji. 1'' .*,?n;: j +*|t-

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Y*):tr-.#ft *i+"H:+T*i*-11'*tr'*-r * To\e,-T

V-- L ==.,,\*e!* .L.".*_ 3,3-.'dr'r_se'; , .'i i c o \tq-+' i '''+.JJ^" \5\:' j*.4-- t.\ ,..5 +i}

er- ? .r q"-rF-l_+- * L u.n?{'n

v t^\ I - L.* 5Ei51ct\,) = kro St s-o,.|*.o* ii FcS.} - 0s& sLo= tr$) [ *0SeOp=htDns)l =l , '''* =+,= -E* '' t"i= - ' ' s+l x-t ]*b. *,"*llo =i * H,, Ei*

!21t1)= L.o-f !.* 5\L-= l;^.4 F$) =Ls!oLo- s,tr$)^l_ =3/z't5oL,={'s*D,F[s)l\^=]* 16S--2 2* -s+2*

Co.'rr* .bre\arl l

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,zjen SJ+ ]"+/g+c.9' = *- j"T-v S-+lfr_ = U, JtV 'Ti +Ve

^t.-*._* ./,C? + s+k- trZ* st+ln .L-k,,o{*- u ql-{iLtq .*L\e^'pr {',uasi Lo.*[',.. '3{dg'. *J,,.,,},* 3. L-rto **ier^ i* ,.l-i:o l i:,,^ {-^I'.,r;i*., ,fi.. et{rcr- ;'.i:-'i,.l-xlIl. "i,a .'kilr\'i';: r o,".i,;i"t,}, "r j*do

s= ti L.*t $ .1.,, ) o

^ e+;JJ,

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s _ qd,..'-lu +\,1- \e9+\= \eYa. -\c

tln* s\e- s (s+)+--, +}l_ _ s*s +{\-w sa+[

sL+ 2s-g'ts

vrg

sa+( ls+l-5} - l1 -+ ._nsa-tr ls=1_I * fu("91ls - oJ*nil'*+:

VC

nlr. ,l,- \o. *o,n 5-,) -q/.;e1*( -bi"*q\. =.^ [".,J,. l,-.^t -: = oq 'J.A o{^^* [.*ii[q5-..'oll cia'. *,lir.aiJ . t, i

I

(

((((((((I(

'i;,-Ptc -\J12 l--- -Vr

rl. I -2-T--L

l :\+.1r.

u----l-- l- \./2

? L

*-*{lT*Ya

-bev-*, .J,fu*..iJ[E'.,..".".L \, '{*-" t

J rcr'.j,{l,'t--*, ,i ,n ,0 .J).'lU a;-C s,l-d.-' ti" ' c }. -.i''.,-'

s+l I s_.-.s.,- T **^^r",S l{ -| -=qd*

'r'E"-iL. ...-L,:.,,_'-; Li*i ".t"''. *ue--fi:", r. , '\.j, 1s7J|l, *,.i ,r Yc._df qrna i

.tc.tl \',r ,_, itr.j,, . i1 .!l''l{ l (}r-_f:

S,t," (-, 7g/, o^'a -t1'ulr. ,-'- -.,*,Jv) l,:atL&(: e kl'-,i,_,.+.",-,iro jo^ ;l*n i; .1* ,L '..i: , ), ,( ,*ri 1.. ' ' - li ic, pc" iC| i +I.,-! ; i 114*,. t,-l",".. . , n..,; ,r-. L: n,^i,, i -,',.-*r,1,r r.., sa, '! , ". !,, ,,,;. * ,t' 'i:,'t .: ,] ,*]:: d lr";.l]r, , 6,;r",l

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32/67

c'lz = :eb -b I 1c.-J,-c' pJ;n*''.'t) ?is/ = A-\,

G., = (5)=Au

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SrrL KA*te,,*A -1-_i-a*t) lo* s; - La.too) Lt ( t

lo. ( ,) - !p .lq. Ld* *qr/ry,{led

L.

,,, (Ar) = *i-Ll = l-o={a-tt'.)P =oo, q Ji

2) Vu*\ *) - tp,Ya.t.),/

i

j

\"**r]a

Y, = 9'(s+tii)},=; ss *6

v*is)-4i =cS--i

6 uJ+ol8 .to.-d 2o3

J,,(e)

g2. 2'_ lj_siqJ

\_

LLp(!

Jui

t\qlt

Io1J,. a-.q fI* !e*--o^,'b -o;l Lu +.=,$,.,n ,.Ar.. ot\

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l-c "_:Jo Vu. {r-"u*,3*-,.r^dao (*{t*^ Bi. [.:c*,t *k^*e.k_J'- * rcL i4-\,l_ c\ l l(r/ -.

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35/67

(-soo,(\ 2.t!, (s) . *'G*L*,_ 1. =,c,-\*. _S, -o,R .sJ e

-)'

, . ]-s-,\t{-sts+3) -- 'z - .," -3 -o' o-{+!(.

_oo -3 oi:- s(sf3) iaa-'l,LS)- J-:-Z -2,Z.s+Ft x sos->& .e.L,r,\. o,l,- *. ,-.L" CJArT i -.a _ns'J_d;u t-\.J l >*rce".k^_l;* E=l I-F ji'soo- 2 l--'J ]Y.ts)=L5+Lo*.fle_f*q.L(.rfl.^.e ; s+dT- olo^*, (-J-L9l4\s): L* b-5*.L-Yr=Y,- ls = f-2 2s* [-

\

L1)1F1. - sJr)t.!*- -..---lrsl.-L ( *= o.o,\

)r= 2.* =->L-= g l*-iL:J =|.*-Lrmq eG-*-J

(*t* J.,^* )

!j* 5-it

(s1o,q) {*J-.';1.9)

qk.ossT 6-er+ekl ojg e.le.^_"o^^

b,. L aJr vo .-*-*\*LJ l"*q **-s )rc.gl{",a^*.to.q., Ll 4--_-1_-.{',I' oL -tt+ 1,, IL az I,o--- G,J JII -bo'-"*' l;-' ?,', !t2.z t*.lr

:e'^ *. ilr* qPac\

f -hioo ,nj,r}o !sufc,.u?. iaJ.1k., 5a_qeL.\ef,2 }

\

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36/67

, 0"JEE- $o 2r,'-+\a ,,= \4 \-T. ; ]l : 2.,^rqs,9 s^ , = (s't'):L- t- (;.; G- -l- r-,o .e,0-lc,-1;-r ..*\.I ol.,-l,

* 3r-

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37/67

o*e: l ; - i ,'Ar. t lr,2''':',-'t3 *,,' ' . ' \ ,: 'l-,. '\ a] .'.*..,J", J_ ,. ,_ (s*L) (.',*''")\ ] \ j;- "_-:--re; t.Jr..t*...tt ".i.rnd""" L;,(s*) ("s+3) i : ;1:_1-;],_JtCi-. ii (:' , .. . ::_i ,L;*"nri",lJ

:. i .,,', _':,*, '..'r.,,, ," r,l-,', ''. .t)J

*.J*L-i___l= *--l.--*,-J*i --l,'-.".---i-TL.-- J 7

CaCCa

L

t

t

L

.{-

''lJ *. ;J,'J, -i l,j ';J, .a\/ ^ .+ - n"-2= .rgJ, . Jsz }-2C''I2 j az-^altt I t.,(".r,fr5fl61 '::.. :f /^E /'6r'..=) = i:9_":%r'*'{'*)'ta3) ls {:,*e})u.= J- '*

*.r3*n* t"-,{*n,)

, o4+o{ .'g*^ 2{3

I

1e--zal\.0 Y -r 'J@9 -?' -, R*, '':'jj i]r 'aL'! ri-_---__.={g-" x ."+ "-rY - i,i *q 'Z -'

if-- ia.I.. -,rL I

7I

-:]::.')_- *;,l:i I'id3p".rrJ,,- L\ *'S=-

.l , i r5H D J ("Q;.l (.' /-r't.,,'$ :.]-ia.I,

i"'*, 7;,' " "'"'"v

ji. , .}J-.r:i!'r:; * i fi 'j"

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38/67

,

9'a fu\* "er"*"Lla';a.=-%5 qd^...t,*si 5+q ' ("r**LL^"e,)T-ts>*}u-----]d-t *{. Bs (s+l)Y=' (s+t).t6s+b) t":L u=

e^rpeJo.rs' (L:*L-.^a e-ta^e,,,)! lt; tr^- :"*-i J- }G*k)

*.h.**,)

2" ,\Jths+b/ j &]', !- -:,nsj}q ".,ta* " *r#*J*'|*.*r.tbs-?r-1. \ =0s*-b-- ). 1 ?ts+t)a'7= -:-- =Y lb->

t_?'7(lrrcr-eeL\eo'e \5f \.J sLe* *t I

3\ t?|e.,._*-' ", aerc*''ttr.t-.c^ l bo{o^pla- .*"[|.e',}J (l -'I)

\,\- i1\g,-^la,- saJece 4r"rs.oiou'J,d". i*,nn bkT bo"o-ael\cp =,C,- {o,,L",l* -..r cejt\eir.J*.1sLl r,nf..o'i:Ju'\tll\/

\,'

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39/67

/ rTp }tuL -sLt=l-rE2i"]}*** o-\in cn*tiu* S**;\J"FI Yk _er{ A-.,J,."^o Y&,u-,r'J'I5*.---.1,-".**-c;*, .:q-.,\i',

* -De.r-q* ":-.,e\i >l_ *,l,.._ :-de-\l oJu*..,.-. r*t,f q\} Ee"r^e-\er /Pg"i { do',-. 5c l[

,K ?C - .oc* ,f,1'''-'T.o-e-".a },1151 .^.zt [*43,[L\Le, i r r.'.{ , ii * ":;] l .}i-s *. .d*,v.r*lo""t acre;

l ) Ncs) -_ _'A) _ {&-J-- / _:" - z.t - a? brs) \ ts]1-)

-JsD"'

a"E't'h-jf L_

L'i..t))i;=alY ;,\, a(ts)=L.Ti T***

ffbr--- Lh*1.U,

\e,-tqfio1*"

"

LL --5i"f&anr g::l,*cv, bts);pr .$. + .i5 -r\, r".a..1

Yni'l * 'f *' *} " N"(s ) ( }*r: *l sn7lq. *.\,\'i rJ s "ts _.*;',.po"**.!,,

I

t'{atY, } - rr:'.t,

--> Vr= -f - f r= * J* (\,-*T' - \, \ tt :r, P */

\((L( (((

h.

_ }"*'. *"'.,=cJi-i,.', *iJ3 m.*r-|*4*.*L qL,- l.o*$e". _ **L;n\^; '., qftr;; tri,,,i3,'',,',q;, lt,.n {.,,.' ...1.'f1{# .&"{*-*.'ti &*,*' i.,,'.},

(((((((

((L((

(

(

f1,* {',{,*fo}{,Vr-/. + u,r ='' [ =\1, U:jo

a Us .Y,.U,

{ , V,)rL(-*J/T-Lll\z- v:..

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40/67

i:.J**1*")A- -H..,-_-__-&-, Y,-1, _,).1,- \ 1s)/s)dt) Q6J/.

pu\-b f-frHi'S=

sA13-s+J

Y, - (P-,)Yr=S)' t*t; s ( tits +.l*

f )l ol*l (fy*, Y, - V. ,*;br

((J)= \,-9,\g.- kao S+ l

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C.c,'-.- ]_ ,\c JeY1..^-'s_-\ L"+** j 11 - L- e (.n)5*L *--* (-r- ts*

; -; -- r= ...-- J R l *J,_-, )t ls ,-l' -> e-^-

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o i-rJ 4V6\ ', s3+2-5z 2>1-

S b+\] ,Ls+.k,o- i. F,-o} -ls'*[= (st) (,-r,) ls--t= +) \\ -a lu9.-l2" -'ar- 2 sa+(s (s*) (s+}t-- = (2"-;r1i= *S;0[,^(-s+),tz.->,,) lS:-\[.=k*z) th-r'-]-'

toa.Nlcg

V S3,_2s-t- +

/\(L: J/I qh A

-.=Tr-5 *)-+ i J-'r'J1\

S*a 3

-_3(--b

Il*-l

Ko{-*,t., \e};.-4..g LJ&"|q-r

- -?=:2_

TC,IJI=

i,..n-;lo- dsL,*i _.,

+wL?-IL

,Ja-v.e ,'c , .-* Cr' .( lr. i. ',i 'a - '' lr " I.-i*

!f= /-^ts3"-,*J*';- ) tb."-

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,'c) 'l*'**n,* *=;{[;Lle-rC'C, L'p.r_ R3 -- CgC_.tar- 2 tR3=

-f\,uf,fa\,.l * -,fg{.l. "*.1 , 'q'.,' \

.,..'.]

(((([c,=(] L (l-''lI (:.=l I (l Ct':l Ll (IIIIII

L

*L,[J*.L, ::;1c-e. ****{3.\,. ,\.-" *,o :! *\J,"f _!, C , |o' -, r j5 p *..'* &;..ll , 1.," .*t_ . ri* q

ok{"-,*.l, -1 "{*(._,* * -: jj*---.v-U' .*!)'+i*,s + ,;,,, tt, r.,*i&

\. :J,:,",L.; 3n,"'.", '.: i'('[{u.{;".;" *.[-,4.;* To$..-,^ e.ru{t,L{-",,.,,"i ,o!**.ra l4..1,_,'. .. * Jcpe-(a,r.i tp\,, ,A 4,('J-v* ,1 ; .F 1.,, .*,,i*... ,., , eJ",{,rr.,.", }

-1"q5*y rn ,.'i|.,lo!a., $:-\r = e,S $ {. ,"i, }i ,r.:-? J2 " do ;) -r', 'jt,\.s1.5,. E> t'{2; s+kl9,;r= !- *) Jo;** | !*,r.\'*-*n

t_\,V. j.,

l + _-+.-* t.,.Lv' --f-t-

, ..,'-t -vt^

t_

L, &* ?s*$*!-n ,* }

ArrV" )i . .--.,----iCavrl

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, b *"'*y' Li{'

AoolJ*'ou -**}it\ .$*,n*. \ ".t....L, P .'Js-,ia*\o--t- '*J*r" j-.- ']a,^.+q^"i'

a.*L }- *T-,

^ = l _J"\i ce,_ek Lc,"o*c.k*

i;-:,:*,,{ tl iq! ';.*f-.i ;

2c.L.L, (U-'--'..---*lL

JO{"^-V.* ,v,Vq= V2&+\..c+Vu,V=}v *r%6i.,, JJF},-\ V,, ",L Jp;

il

llFc{'=-,F(5)

ttr, ,/a,V., t-, .,z'1g; 6i.il(ors"c. . -.-i ^' 1 ,;,I

i- : {..le-,'qC. t . \f... l'rl

bo'.Qr fi{irC,. ?T,

tiC3g

AL |.-u_r';^ i r:., }

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l+s{,

lo1.,. *Y*=l x & t-}- (cb+e+) +4-j*l_ (Cb*a*d*[e .

T= ^,9A- ^'l-r

A=

L

J *:*6 Ltt*,p,l, ,^."Y*k)1 ,^iup-**, '1

i+s,a\o---\{'^1 a_---JafLJ=-T='r/=T*

A,-A"

I_ (J +s +l +s+t, 1 +l+[.) *( uns),(+ s+t)* ( '+s).( 1+^s+l.,) { +_J

sr* 5, s-t

+l ,+5*g)( nl) * (.+5)(r.,-)

{t+..r,) . ls, )( {+s) s-.II*!. , *2, t

TtiVt

A3= J- [*:* *s*l') o(*s+L*' *sr+Ls) * sz.tlns L-s2-t,s*Ls2*-i g,s+ t-

. \:.,\\Y'\t1("1 L

41 -

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I {O.$*$q1\. \=* _?c q_-t 4Q-r-*eJ

\T, =34 A,=-{

-t+ J. ;1 i. Ja.:L8z-rr.,.'ot/ *ll.J,+c)-s, J-=Si, il 2 'l; ,i*J"- b* 1*', i*'6 +/.,.,rc 1C .l , , "r' r,,J-,

lt"'IJ ir. -l* ' .."'|.:'.: r.e'! i

?e&ii-5; --:,.j.i] j;q

J

( *--.- C-*-J, )

-- T-

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rlQ1l(.,

+

f.,V".-'i *'-jLlq \'J.! y= \-,,IJtJ

Ic A - C*,r, e-..{ I..lf**.k l.^*1;:,. :, 1-o > A. L> rV*=V I

(

I((IIIIIIIIIIIIIIIIIIIIII

t

V.=

(-|d .ol|.oo, i,_.4:a.l ski-j *i.* ,,*:,:*jt,z

L - u" !n *Un*, Yn_ + - _. - t \,VL= - V^*,

\1o = - * t u, n-- --*l^ V^)

;I" c..'rre\,V* l+t- ) a,i,.. -;*d: ( ,J.. *.o) ;J'

t_' "'*l

-r. un,-\J. :'-b,5 4 6---_ .,= ibS+b.InI,(,.,, j",;,i +Qe.,- i,,*, r**.;,)- =ir..,. ."-.. .,. I

4.*(-Jr-,.

-

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48/67

, &r**** . rJ:1-r'tS) : + cV1

/ts).

n,.'t;

,

.,. i- I *-.,'J'-"*"!.. -:.?rq*+Yo=t- %, b"-"-L ut{". s+ L'{*'i

"' -Ji)*--.I Ag/-U-Y

Y).n'i l)-,'jr.l^' -.'iL,-, j J-JcL'r l \E)l ,l , ! !J | . ! ;1, J, .- y'.r'*'-l I, l .;; i i: -*f i #;t.-'-;;..'

&*s^+ t,-s+t-

\+=

-t*h)

- L,J-

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sr"rE ( tr';.-ree) \-A,-p-t ve Yrug.l,_l[- ?a.ee.JL+\-- la g* l *,n (-.l+ ,*i)\*-*i.- t-\--:f.'k '('z

J \qol _ *.,.e^ si.>reeo ( tc.,--P.s,6 r j.,") - \^r l-p\,?,^ !*dvi" 'JA! \+ , *rrl

I i{:'.

J*

--iJ{-* TQeci*\.",i';d*l /q r J"

lLnc; o-enecua|r'*,t ^(:i1|':4,j

2_ Y,:.*log*1

h At r"xJ ,-- '\-.ila f . ,*t_f"]r:.-:Ii

q;'far

t

tJ>L-'p9[I-a,l

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Ji

+" B**; &;* ji.'-. -J J}F.jt}si.;j i ',"--\ (: .,"'(' . ':G*) d

?*;**

*i ''Jh- .' |','"

\\,.1 . JQ'reqldzIL.'-"s-

\ N/- _- r*tac ;6]\:' : "'-::*_C

^/f r -\ s'-151 rJ/--na{ls +aS_{t)? Kt"+-ia)

-i.

d,,r,

{- i1 ..elp_,-.,l

t{-J (5j /a\,- '/ t , t/ ) c,,t '^tI' {L11 tTt'.',:4 J.:r'fr,

:, *.{j.. , i:.' "| .,. , *-t',- t.,n,| ,,{-r,

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LJ..**j _ T;LI,* )"

l; " Ll.onl..;i...o.. :{:.. i, . t-;*..*_!.N.*" ,,\d'- ffi, , Y:-\,= i:-1, )'\,Y'. .d- : !:. -. { !,: '*,.-\\.t Li } * i;:-' j'\:, *4} ::, ,, -",_-, ! ,b

I-s-rl----:- a 1srli,t'kej*-aiL.-

TJ

\ t.$.i' jq ) ;\-l, "K,i:.*.-).-1..ri#1-.- d2al::""+ -":...'+ j --t-:

&cx n,z,aIaaaaIItI

L\L=V |

Ii \-./ :Jt I L-| }:. LJ'

_g^,4l4-YrjJ,

?e.'& c\Li .u,;/../,rl Yc$ = k"o S+ k-+L':. i'o e- i-,... '*j

.-.,I5**.i-*'-" t- I-a

L

-c -) k* .{i ."**.- :: -;2.-,;-r i

,iV^-. - ..' !IL * f lr,,.- I'

.!li{ ].-l*i"'1i'...t 't ",i'

el (+'. /rJ

.:

i t,'- . ea:.:-'\'/2--i'- *5"l-l--J', f

^lJ,; -kl"_.

o-------r rL-.-- --',.L*i\tI

I

l]-..* "l-1ir{-l

T*-T_-

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J Ll :.Iri"a

*e-*er,

-Jb-; -.e I

s'+ t|3a2.s2+2 +lt1+ lg-!qY:-Y,

i,', ''r*,"'. *i$**t\-. I-L { =oS-^

I9z, S --_f *.",t{* 'al*,-n-*r,,u ,r -L-".,.*r.^.

L=LY:- = S -3qej!e.e-

^*.*k- i k"{c*'nca-. i ' h ,

i,

It,*I,-Y

*'--{-*-**--" /*l

*+1**Ji._**s [e*..

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!e=U @-"*st*+2"a-+Zs+i t,cl5c'1 d-, lt.';i .r, ,.-.*.Lk t}, q\. LtCp.Nek i

vt \f_ Y' s L:')_== = -*- .\V 'i,*Yg*7a $+l)(:_+ s+ l ;

f*,",- L* s+ t-+ ,HJy/,ry{- v/Pt'l

}"): (**"i),t='1) \._Y_t=g*i:j)'(=a:- =s s(:"*l)(s+:)

'!3-'.1,= u*'/, t*-*)n',t- r v.

'16,i .=V,/t-)) t:) = ts*l) (s+z)

K: (s+r:,h_}s3+1.=*-*ilLas+S

1r s+ t==o.,* )

Y.^\,, s1( +- t\.-Y- 9: I*tYl , =;, (s*,\)Y --l [s_+) [s+z)

= , ( s*r,E)gili *--=--j---i(s"i) ,ts*a)

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J :O :) '=Yz }=ii-.t: .L:.l.,L' 1

( oi\ 5. * d')l*,--t )

, i'',il !:-Q.i.'|;

=* f,/5{- i\i 4/3_-:\ s r--/l_ _ -L\,, s

?B+ Y3)s+0,5

t'l' =

\2= l,- 6lT =*'(--*--*,-.;' *|,, -''3

+l,A l=- _----{t

02l.1fKV1V

v3

-x)

,lV1 bs^=- - 'V s'*snL

(s*o,)oarca.L!,:+ iLJ (.fu.*',

lLrq

-63-

(Dn,rre 5...{.)

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[xt

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i'-":-a --N\( -cno

_) Y-lo"lr \ - \---=E;V'cr

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11 H^{},,6 qJ,' -o/3YAru,ruf, reLo^