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l,X Wt a,^ 4 !r,l-19 ^,* Lt .^.n; b 4 Abr{ (>l = D4 (r' ) L,rq.htc^!4

, ktx) -- ut(x, 1 ^[L;t'v.

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(Wi ,^- &i""' Kx, = J* Fx + A[x, - Flx,Mt'4h* i p/*,=o (i-.;)r,"c,l ,.-r f +o C toX'*f

\( o,'-2,- )s -/

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l( *o l,o.z

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t" t*ovJ*o L+ X. e- Xt

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1L-r.-.,u,.^- ( -, tqqt t-Rc ) t2*

l^!.^^

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t rn [^'-i4Gwz",tl

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, T,,Lecfure fL :

t $ R/vw^sP+ (Y ) r=

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& K-Eqiv.vah^-C ; R P. I

:" t(rrtt\ y"

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, C= I +c, n,:.1c!, att-l-lo

K, = n

rLQ- n

R I xl

5f.

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€w'n Tri ], o(x;l o. r+ tr z xi

1" X €Vttng

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[+ K, (c, \ + 1(',,(2 ) '+

f Kn(L,i-',(, ) + Kn*'("r"',(nro )*"'

t? ief K N , n** J to t^/L0- at lt otf N p ro d'ucf5 )= i+h 51m.twc*i on 4 Kt'iS 'ln{'r,p 4 n i( n 7rY | (a'\A

I in wtc*UuA/12 C r'Siutz K,Szf

. ta,*; K i5 wultiPl;cah'"t'u '('

Pz Yitloh'co , b1 fl,nih'on ,+ K !K(r+v) - af.. l, a(xl) -. q(x) , so 1

:[*:= Mur @ Q- - q Lpl , t?',... lI llo :- e. [j,, !., y , x: J

Thcverr( I JLp

c F y bof {ilm ring

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f

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+

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*(,tr - p'r,t )iAl.le

1

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t!

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t tbt - t(oP (xt -rf t

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t t(ttH + o (n;-t ++)

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r(t+rz) t(7)r(t+a );(,tT

r.l-t(r 'lt'>-l

J4t"( +-t^r

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A ppli c"'h on .'. L e I

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I )

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+ 3 lr* . (z;J'g" *1z"t1t ti" t)-Ei3o

' &j.. eL(r^)

51ln au

= El.tEe= (i\,)

? ['

(.2

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(*_). ,L,^n r.vin,^ : 1 | , (, i-., yr, rf oo

- JSv",^(r,p),,,.,t.t... ,,,,r,

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( x,,---r ft"), = tt,.p) (r"," > I ^ ) I [M",u-' (x,p) )"'n

4 6tr t,,4^ l, t- o r.,"' (a 3

f* AvB=trp(A,6;f'.,(z

J^p,"," (*,p)

e

glli++-'- J o',,rioa^:

= L, 5't (T^c!/^ ",!r),(Tr,,rrn1f : txS = tr 4*fx (r,r..-'y, )

_ tr lr

,,-",-3, P,* 0,' f , b-l; ^-t a ln'visdt' f'

) '.= F.,A,(r,F,),X Mo,e. (r,Fr, T

,0,^, x Mo,s,

t u6 5 i 4 e Y

g r.^a-- fu.,- C^ W e at= Jp,,r1x,o.)),,n

e,xa ' t,xp'etx/

: (r ;(a- )U+t ) (a.Lt-1 ) t p.Lrt' ) (r. t"r-u 14,.": i[l-r 5 "^.tJ 1-vnj ,-oL(o h(u- e./YLcpha^.4 J ^44k

A ihV o,\4 ^^ + 6^lef 5i, 16 au L;n o,,"-,, Untt[, (-ro.L't'-'']) = fr)' (ra,r hr.- ) = et)i (d, L'-' )

i (ror,rp,rt)>- (a,1't) = F- (o l'-')(f t'-i )tt.L'-k)f

)'(d.t,"-i) ( F. \''j ) ( t.L''k ),a=r 1!r>.' ll.-th-)( r+{-ilr3c' 4 t-+ (1)'I( /

-et)L'+t= + t| * l'It+fr)r t* (')'trr

=e

'J 'l"i8,t)-

(8.( I > o

(. )

Itt,t),r

N ( rL',- vi^ ^a-

4^+, "( L'^-L,'r-\^-- ; ?f,-h,-e ! J ,0".u., (.,,(c, lxTX)= l,(c,f *Trra (*N4K)

a wr('lltt^^rtio,- i* g;ua.-Lg"cL(' porr^'uu '6'or, 1

J;.- a'(c,f roFtlt*') = (rlt) L'(c',or-al '^:"';li (^::,;:, )= (r+r )(e -t )f"t"" -Mo,*(,?',d) --*"t er ) ua - 6t6ft/ ly'r )/u,iv

ql . ["rrA1fK(uG

"

lhvn-. Ihc Qa

,