3-l L"cIw. 1 ttu_) '- $nH, u conrerve{ cUrftnndJ Wa saw in )h" \rcvi,,v, lurW" ho', i''r \hn "\ ayfroyriole tyrnn'V*r, elte ecqn 61,,ocno[e Cer]"'in conto('/eJ' ch*5<, t" $.lJ:. Thil ,lor]J. s,loVz YktqALz Jh.wctl-V.**n..n.o1["1<|a.|n..}^*y,LJn*dotlt.<%')l^.,ntn'lJA" }Lc [tU GI <a/(y;^1 @ ofyrolriat wil "[ 'iAt "i \^k^or',\^l',.'n{o.htry.. I5vintr conJ&rveJ Mz6nr '\A"t , ot ott ay&rqlor }v;)t uta$a.n"J, hJsq.l.her 'rL .o*^tle, wilh }A. Hoa,llonran o[ c1rral.r. , 'trl, ty,]urn. Ii^u \"\rl. l,^ It e@\ .)1...!0," bt urzo( R; a troool 1t^*L^ "*"n\o1' Tha. connu <horr l" innl.rrl.c"t . Varl] ?a It F'" , i.r doof *o[ tr,)reme ly \A.t , ln ]h" ll.iaAte "[ G 4- <urrwl, M*]r.)l ', En'' teal <oflrq/vcho^ lho = uk.lri "l 7L,o,V, w,lh J' : )" (f ,i) JA^I $\ru,, O = ar?r Yl^' '- \orrI) t iJuU*lIy lhir Feq^6 'll"^t orly <c'jnJc'/veol <*rui' @n JNV; Gt gowce ]&u \".t .\l"t lA. )c aoL vy)i"aJ g"ld d*r,h* fro thyri.^l- f olc,ritc.kont. Thi: Ih* E g, 14 F.ld. Th,r i: .lo,rly Id -[r, ' \t' E &M r"ot -\l.u cLoYe ll',. oi).'', Yt./ wo*J 1 Gd\Yt^ $.U, wlll.. c/^ ctrn1lin1 )h"* \, r{in arr.raol"J. eonrs/veot <weA, wu can <u'r'idc' Ylic cG^ ,*h Gr Jl." E t4 ["ld' f6. inicnce , Lc,rt,;J',, )h. $'t^tu, )l.to'y 'l U $ulJ, VI d.--4 I F., T,|"' + i'.y Yt?"9 AL -lhl., 1oiat, lh. )wo )y1u, ol $eH L e^o^1)" 3 , )'7Ut' vvilfi h,' *.y g tr1( ota.or"6lud , eo.I oAQ 3-2 o\uy;,.1 ii'o &crU: ?"Ft" = o (r?-*)9 =o \tlu \rnow )hwu r) a {<)o )o1vpl- cutrenl Jt " -vY"*-Y corlt,lorot^^1 i" \ln, Utl) 'y rn,*iry .v t--, V = e'n$ Ar"--u/u=A/^ I t wa oJot Ay. lLn .r1i, - ll. \ina- <"uYl, rrtr in Ar (n : -olTA. i t0I"1 reaJ'r : reor ) : ?.F" = X)' v*lh c. .on.tvnJ- JQu/cc, X"L ol w4' Thu \-f, lA*o,y lI'* reoJ'r : Y = -iF",F" = i wl.,o* c + iQY*?"'v *lqY"VA* FP' + 'r Q \n D.Q w(- "[1n't Dr= Th Fn, nntJ' EaH ?A - ,"t A* !.r.'ILe ('F -*)q: Irm;r,n Q ItH' \A* {eq'atr rn'Vt! :- *ty9 5-3 An irnfor\on[ kr.,q^ CC.A be grrrnrnwi+J we hor. \\^J[ t]h^tir"l"d 0' ll,'"t b/ Ji.n.[ qaY ]D rno-,[ v \i.ot )l* ccnslrurAorr c. sinyla r*1. t r^e11ace Tlt" is u'nr&r.r t orI ar i-J *L,/ \A;, ,rorL ir os !)1c,nr, 'tr )ht w^Y }" Q/1)W4 Ihl \ )l,rn Syr^- | f,lrt )y G. csntq/{el. tr' J,ol ia \" w' lroJ,tc<J cN thyrlc^l rJ^le,. on| l*o of iA, Sowc,ir L1 x Tha ,"1^l*"1 Ar(*) H ir krhnt."{. )1,, 4"t^) I *.y inlo*l wr1hy,,;rJ r/tvorc*tJ 3'"f i\ h woy c Lu 'rolAy r:..1 *rlg. we ea*eJ\ )" \.llv ldv/c IAc[ 'll, tll lhnu,,, (a*wt IA;r ,r1.;.|', )[ i,,i Su wr oHr.in \-, {rp v't = )rr . -lln NoeJAo ')4. oi'VnJ ['r^i'^" Coor,ott .r,J" ?^,rG) iVYn?"9 tw/ez,( Loyrn \'r )l,ru";A )h, $)1o,";r, Lr[, y* rngrP ",L{ 9(rl .--' Y'(x) = eint'"Y(n' 0 (^) . b"L w G/\ wbi }zay k}* t' Thir con,L,, .)h;, l'' lA' u[l) sy,.,^"ky l]s"tu , Ihu -A&) ,h^ know ih^r .,Lon, ooL Vovu noninl<^rictlcr rnrn,,I EX. {* invr.r,*l crlirt Ft^ lfu b'^' 17y6]virrtr vkriv"]-''le" *ol" *uti = iQ Y* \ ta^o ty 1 = D^o Jn , c woy )" .orr^y, lt Jlr. Nrc\Aa cvrlu.l q", a syr"^dr^1 o\ lA. .on{[.,'r;a[ w,]A pora^e-V, 0* rr l, .L-yt O' \-) O"&) of rqaot ,! )^0o in bl-) r., olh, ,yorotr .-A Y t lnle, A rl 5 nX \ijr )r e a{ Ar + ?,*d I--) |. : tx) , \ta t ?*c 1)n trh.t 04( | *(. ;J-'\ {.f rq €(ni : a -)ht t\, : 5Xu" r oJ_ ?"0 = $ rla r ,\ d s/" v' trn \-l Jl.'u rY;t- La1v."yia" r! r---) A,^ 'f1{ I t\ Iy whqr w(dl in flnr f O )o ta"re r---.-+ r9 g"- :,i\Ui,l ll6u( d QDr = O(oJ ir 1au 5r Gvtly O c-r'r Lo .]le UUI r\ti' ,hifu6,tY \vnC n U^ *yly ti.''fl "1 d.o r\o,. , ll.ou ce\ )€ \ ia \" \l , (IoCi tt7 G iq c, r E e.i4. cc..tt^ ',oL D^V H .I,."1 D/ rJ CI\ q.Yorianl Ju'lvoii''c (?,* - OrY)' V Vo,, !o .^, Il, tr .)l,, \-*, &.[.ly D. y. (a.+ ,q) tlatl cln h7 w invaicnI " ' i1{")v' ?,* eie . t€ I-y etn e y0rr6d ?.9 ( i. rr.l ,t A- - i?,*o) etn V iit -{\ l,rro ti r ?,,,*' - ,lArY - r),8 V D"V Gt 9 , sv% wl'',rn 0 = Ofi). lA.I F, Q , ,oa,[ "+ J (u^,+, ,r) 0 invc/ic,,i !.. = €(.) 1 3-s Thu rni,r;rncl qo"1lin1 nrt,c,il}on,r .or*tlinq lir..rrv hat lo.o[ inrroriwrrr 0t wd<r |rcn,')ur"^cliorr Gn. +Ad Thn r""t 1),y r r,. L"L vt Vy ch/ = ?u' i, set lA.[ .]4, a , wLon {lu e}i,}nl h"t a ty^^"ly). 6oinI wGr invaric"[ "0r., conrolyedl (Nodlv c'ntruL) e )r^Jion wlA -lln. 1)ob"l U(r) ryrn^"|.y "\ ,)oyrnt ,\ [."Jo;, zyarnll, 2: V(ul t-tl arH w;.lA u(') H u'(0 Now vtt yvo"y I t Co"plinl Lu I a, alallr e;o = H i* &t ,1^^"ly\ asn;;ler V(utu; w,,ll^ D" H , wL ^bo,ta = (?" - it Ar) u r-+ uLQ.*t Dr o^d i[ 'rs ,lu^ ]l"L { r.l,,.Ju,,l, ,,1,""1{ x)n DAD* -?V ?ut !-l W[rve )= I )"r sxo,nylt ri?*u* A/^o*Aroinnn 1 HH lnva,iq,^[ *l*,, Eou Ii1rs eio(x) )ocrt H lzo,,,)ur^oh*. at e hlil* n')i. )'''.. u S {rec,\rel7 J}r. Wl ) Noo I[r irlrud- sswcal- bY a co;,atva), 'r $r,n,u. ( YvI.n .[,"'[ tl"t U. ?n Fn' -r1" lf inavt D*U TL. Gr \". l", Ero.)ly Ht' ?n \.1 cwRAL <u.f.qn[ \ {,*r[ a.o(l,et. Th.:fin-l I""l't i.r , Q6 iS {\zctt;wl. 3-6 T!-"-!-"1 Ab-)'qr -59,1 - cct u)t UtU NorJ/'', cwgt)1 l, <ouglo 5colw lpr^,un llu lu,io iyf, cf .ll. 1tr.]on. [ntJ, )" c, ,Y,n- I [.1] "l in ow <to^lz1 & \w7, ,t[ ,[ cvyult l-lowcvrr, w hor" o),o i&n)['r"rt \rle h^vu arrocr.o\.d 1{in - I SUtl) )r*,\.uraolo,,- Co* Y(L t^rt \Aeu .wrntl, )" l" $ellr Cen,il-e,r sal.rt ho,,rr v{e 'trtnal Il g\ "ory (.rr^y[, Y'(x) H y*nh.,alw cc^r€ '1, i s O' i0'r* a e Y(xl 8'= o , Oo a{laiV<y, (y,) = (t"" n?rrx;) utd(t-10) = n"'' tv, '\Yr' = ;'€l' *. ay,' tn,l or Utll Vq^,lur,*'hun I m*lh1l'."ho" r) 1Lo" I w'l^rn q, )ro, .},*,p 'lt , Thc corro{onJ'n1 N..}4., Yz *,1 tt/. hc'l c*,r|. I Jn' v Y* t' \y g, lo k tt ) wi)( .llc 1^^*hy ')- y'(*) = - /*\ \'v; i i'e' cotry ? V(.) A - =r s VtIr- kno", hot t co'n1lc '{r tY, + i "t, -)1"1r cu(tttlr t" c. ; ?"V -+ wh,.h .oo [" rlin- tY. Yn tP. I ['l't" , ]AJ vk Ynf )le c\frotrrcL tI"*Y' D"9 'fg"Lef, igtGtzj D.9 H e i h DnV L*.,!rr* c,/ 6 covc,,ric^[ , tA; vYh{^ 1 q trino[v. ,I+ia^d F-+ uidr,.to "} t 3 -'? S^t y,,to .urlt Jo .!l',. surrt ll";n1 h. lLn iltt7' s yot"hJ. \)'/ T' er "", In Fr[ , cr'r'ini 'b G b.ri,., w;vr orlt '[ \l',et, i, karpnol, ^[ ^ {[u (q^r!uL]ton h/,ll ioo]. uaciiy c^t !' )hu -51 .a,, aL*e. Clewly , v,ttrttr i, LI )An ,t[{sr,^( \a,o, /* ,,rt .}'ant lL yhyri'r, 5o il is ]'',1r, on@ . ""btrl- ]Ara. '1o-'-r;br),'1i", n[ ?"9 P W* 1*r[ ne]l- l, onc. : ,::, Dr^9 = (?r a or,L,r - ,f 4^r') tY a[u.I,. ILr[ ]1,,,, ii 6 coveric,^{ t Vrlu kn,,w ho* tY i-r \" [u ]n*'[^lr^"t 9<.^t &rivahvt h, 5u(2). 6uu) tr i" = ttG) 9(xl [r,ur, ho', ntt]' At 'l,.o'l{'\'*'io'" '[ w{^r/vt intluJnnl only e^r" ,l ll,e^ oi o, h^t. flowuvr/, i[ l,rtrrt vr^t \td whnn Jhu iA,u, a Yru1*[ / ll.., ]'+,[or^*hon ,,^1" nezlt t L' Vrtvcl\ze]' ' Th" rir,"ylc,I clyroo.l ir h ilyeiila].',hot it fsqu;kl in *rl', [ot \lu oLo ctt I .or*t*l DrV F-> tLH q(x) It ir sLralnhl$rt"rl' D^9 H (or^,.Y;' = ( 2r - ,f l, : z") nY' (zr-,1t$^r")lu(x)91 = ?rU'tY Thlr I r tL?.Y - ilAi'"u\Y reqv.irel tt A" r'Ury = -i1uA;r'q =) iA;" 1o u S r" \,L' n q (aru) w' ?.u t} \(uvl =Q . 3-8 w[:(L \.'f,, u] h rlr G hlQ Ccrri.,is{v, =ii A" t" (aru) w' *l \.4 q n il si,a7 .1l, \". t " --\* 1 lr -o We c* f 1 I ll = fE"t L . tb 2 Tr A"= ',r,r \-\owavs/, rJ se llnu 11.,.* A; Ar= An, (no *b L ({1 rr:1ac[ L t Jlc.t l" oIl.;, zl 1 u A;r" d' i (qul trtcqtsr4y, \dom il't/1 fr.t ?"L -"']r,x Gl,\ attorot'"'. \,,[' ) .1 rI j: r" re |"1 h cva:il,c/ i" ,lA; \'i\\ A; i \Ao- ,A; \: ) ru^Li1 i"t1 6) so ll"[ 1*" I "' ii n\r^ n .-\ l-) a' r\,. l,I = 11 A}u - t q LL q^[' I ,, 0 L Whvr Wc u,,n d uu = \ -l +rlll'l: Th. t rvtofuv-[ rrve Lnow =) ;huv'id rhcck -l ?rI U,+ \l ?r[' =o 'lt"[ ]h. [*h, . k0, n*]. i^uJ*c.r i. who[ ^ ,I wh c'^ Ar Ara lr = "td" B,^[ w\o^ Jh, ihrn.-' h"yf.a,r^i, fvsn whv,, oriy o A;' 5 We rt lre*"zl- , .onr[. ws yro .,rn[ \uy ;nU.,J,rt )r we $niln; )A*t \l-,u A"I ,nrnolA,nl 3-9 Ir*,!o,^ rrozr Ar - )rv;ally *J* A'. = '-) Jh, 11,)r"1 SUk/ Ll A. [-' + ; 4, Ai' . Ynw;[ cotry J/," cea'tar.(zl- (f "U"t) ,h*y,, s iai lwly h 9, C"" erp.[ {h"t \h Ai' . i,'')zrc'[ will eacL o)A<r, o, *e^ll a2 Cu.)ro,{ Jl^;, l" }r"" X}ro}.r" ( u0) <a*) wh;./^ ii n"ubcl w;lL q Th,as , JA . *'l"or[i. .h*7 ) (h"l 4a In {o.t, I t \ . Jlr. .Luvu )"-,|ormol,urr ir eolwivaterrt l, /f;\ '\[) * <' li) A;\ io"rA:) wh*r. (G)r" = i €oI" t frte'e^}oho'' t[ " S,1te) sh^&I in Q M . l]Ven rhu/e. rin yly 11.,i, i, ll, Ve.lur .u1.n,t ,l*i,ul' tD vo.]or ( ;n lA, SO[t) , L,o. ll.. ]hrz Ai' t ]v.n, !u,* Ar G oI 5l*&^1, *sy /eco<6dw- Ihrr" .o|.,.u, c.r J{e sprn- \te ?'*Y inlcer d ) ' " alio,nt ]A" in )r*, Ai" ]h^t lfi' [or* In Jl,,l, .*nt^[, w' 'oy ( Tc1r1 s*\ohor' "\ 5uu) ) lnLrnol ,fccc "\ 3-10 y,ik Now v,lq Y{q^[ lt, '}l^rn]. ,t )An^ invcnric,.,t o.r [;^a\. Vt^," !.. $' u $*1J:. \rln wcy'{ 4Y"re*i*31 . ). \. ,,nrA "bl. l, Jer., Ir lre A; = ttrAr\t'- iu?ru' ]l,,2, ii a ,^" \rl )r;.[ : cci'nr'/q, )le sn ty , Io\lunrr lhi, It,,/Yu)€ covorionl ot.,*o).,rn, 4tu lh *{- ArF I-'<,r " lDn o,1q = o.Iio, ,[ ', D"D,(Y - D,D,9 = (z* - ,l A") (a, - it A,),v ( r ." ,) = apai; i1(a,A,).v )N,fifu ,y r,#_t4.r,,y -yvfi t t1 (?,An).y t iffiit_ ,qb,nfr_tA,Ur .no -ro = -,f I ?rA, - ?, An ,l IAn, A,1 \ v Dof,n. F^, = F.)2" = ?rA, -?,An - t1 IAr,,A,l *h;.L re/*tu, [" .]Ae uru^I Fn, t^ \h" U(l'l cG)e. T[e molt ;,\"rot}^l loinl ir ]Ao[ , sint n Dl^ lr G lDn, D"l .y r+ Ufi) IDr^,Drl l.y = <ovcrria^[ &rivolve u lDr",D,lw' . (uv) r0 we \eo'n lA"t \\l. {ecoTite llni, Gr 'l[u o/io'nt Yelrerv}a\c'n ' It i"r .ol,e .1"o, ]A"t Tr F/^, Er^' H T. ( |.r Fts, u-'Xu Fr"' u ') is ?/A ',vuivn( . -;r.F",rr' J^ {o.l, , = -|rnlI"o t = -t Fn, F, ] 5"t r-fu T"rotrb = i F* Fn'o , 3-)l \ s !t \l^e 1.4"r[ nota/ ,\ *h,.h ir "\.*ly We )l.,a7n e,te -,d\--q ,- wdt invorr\c,nt \"I \...,r" i'- c.- yo n I IA. \, So l-0, ( T;, Vsc Y;,r;,)" Ce) " inle ,nol ro\.Isa5". <or.ridor Fnlft'^ + tVy*Dr^V *"y.y I whve + -Ot Fn, D.9 Thi, ,V'({) A. = \1 sVortrl',l\u ?, Fr^" = U(x) 4"u, = ArG) ir ( J".tn^t, ,/-, u,ll Ar A, .i'e"}. ) ) t, i/rvo/iclr[ wJ., \Lu lo."f 901 Tt xr ') v = lh uory w)lh ob. rt '" rrurf )" * oL uh) rY V*r|"r^ohon U(x)= e (/) .rf Art,v Lr,tx) i 01, t" \rbt ?aU.'(u ? ''ru \h" Eol4 ' t ob..\A/. Fr,. \ 1i T" wl'roo - tYr'9 l[. l, )[. "I Po.)fv cw^nL "\ \lt. Yw, !'ron;unic )[e ]r*, ["rr i[,"ory (ccrrrerlor*n1 k 1{es,/, Tha Noe)/rq ,*prrl. ryn^eky i.e. O"'<onr[-) , rl ( tr* ll. z :pir,- o y" ;No')Iv \ !"U, ve iJ"oJ" o.bc o " fo,^ra.o[' Al, ;" " )y a coa*rveJ ,narnL, 3-t2 , JAo slia-l F")*, J},en r\ve: cvrruL A, orl.'oi 1oi"ot , \Ar/ q1 jl.o Ewr)herlxore lhu \".1 Jlr"t 11.7 <c^ tu\\ corn.pl*)iu^ o\ ll'. k;nulic kr,n - in -tr,; Th<;< n$.r F,o - )ineo n'/ k, ..+ J [\ w[,e/r t,2- .Ivyi inar( ], 1r J"ay I rtan ),/ln. e qb. " e").* onn al,icalty io, - abeliw d al s"d* GJ + 1+r,^v,\.Lor: \ = -t{ i inL rqtho^ ' bulas'n etoLe oJ. l^ot V/t 11 q *J.. llta A;' p,*^)olio* s , w\ \ sia; ku^ (q ,4"))' (it A; = i L f o Yl::"i k'o; :$XT) -)n- (nu(e \\ )^^-P,3 / / [ ,eyuo\d' (An r tAi) i1\* ,,a A'o <c,,n\o Non\ Y," S =i or eve^ J - X ,"0" 1 ln' (k, - ).,)Y *ly , ll'," x I Al ?r" corrrryonoLn) Jt, v,b p,t v,b bc cq^ \d. \".*, ( l^,e *'^^{^ 5i,";\ r -xt" \.roct )" carh;br[ r ccrr ]' {cft.x^Ll UJ 1t),r exll;cilly: =I l lr" , P'* : nqrt t "L..