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)l htht
6W- €.
tt-ttuuC
3ol'u&'orrr
fu,bs,brct
Af frer,R
rffq!
Drw^t ,-tru
et u*,rfi{
T-+ XtL*v,
be,
bb = 14r &,* + 8,4 *K1 u1-x) #Bo_ o{a,-nr)df -M ./ .\r r,-r '-*/ , -r}_ _tr_
b*-ni**
UNrr - 1.. oa4y"fu ffr*d"e tu ,r*uha,,ia.l
F-v q f -c ob-Wul a.,oobff'^
\ wvf f+7 ^*ee.e,. *,r,rl ,.*J, ary.afr6u.
J+'-kl ?u" Kp-,
ttr)
#-) = 6*, r be, +$ r., *bu,-
o= b,q, + b*_ + ,,u_ ul*n * hu,_
= M, % r-rn* *Bt* r-Kr (x,-x,)
t q2 *. (wr* rtr)
,4 $Lt
Lr ",
bs.. -,trr *rbev-1
k7la,-fqt2
d" x d_v
# = .-oN* )
7c0 * M,
Mpbcp,*n,fr. V ve-torry ,
dxff=v , L=Jvdt-
# -LB, v, #kr J tu, -vr) Mf) ^.
+
\^
E B
o= t'4> M* + xrJrr& f B^ y- q \k,Jftt- v) ,!t +- Br- Lvr-v,) --+@
furcr
"ht
Vo>rahr A+rar-o &ovE Cl<v;
*) = Lu)V) -- rr, Mrr,l-r 5,=RtV, = {2- f4, = L> g>= R2-
8,, = Pr7Lt Rt L-s.-
{<t = '/",kz = ,1r_
Rp-
cz
Ok) = t d.i,w t"f,,;D= L cl"f,,-
k
L(r =lL1
ko-,tL2.
+ (, f,* *i)dt *d; cf,-i) *@
" +; J i>at
Iu"*i,)k+3> tz- ,+)-cl
* e." (ie_- () [email protected] - Cu<enorr,.
#(+> = i u>
V, '+ Vr Mf -olV2- ** uy lnlo , C.
A-l:)t-
- Fl
B-(I
R2_
Br>= -\ -Rrs_
,>
1-.
i ct)
O=
M
% duuw
+ J_v.&I
'= b*' *[u,
o*- y1t &,+d*
Jv,-v*) *Cvo-V,)
+ )_ cv,_v) +I\2 Ll
++fvoW+.ruz_,t Rv
i
+ f J (v, v,) dr
+ #-',
Sotn .Hon,
b*,fi*,bxtba
bs
*{*, + bu, nbu=
g\ d\, f kr,(r*dt
d-Ur * n, ) + Ba 4(x,* x"1&2
&t dt"
tf-.1
flI
i
r-| 9(r-4n,
bn, *-LDK>g
be.-.
Enp
b*"
be"s
Br'3
bes
O, t4, dV,7t
O z t-rl, dU,_M
o> baz * baz0= Ye d'^u
dt_, t B4
t Kzz Cxr- n) +
Pt2-
o= b*, +ba, *Luo tbu-o= Mt d\-
W {kzt lq;e(=) +
+ b*r, F b*,
dtry-x,d,t
+ Bru 9V2-- u) + B.t (V.-u)
l-A
83
o ? l'4s dvsw B*g Cva-v-) .r *ru JUn_rDM +_
EsCvs*\) 4@
*"=* x=Jvok
d_drf
(t, - x,\
+ E,'vt + r, lv,&t t BrLv,-v2) *Becv,*V)>@
+'R,eJe,-u)a*-
Forcz * vo kaye-
bD' 2tt)v,Cl) = r'lVrtD= t"r
ue &) = fs
r A.trL-r -* +
t, af,", +_M
1'{i,JM
Bt= Ri
Be--= ?z_
83 =R3B-E ':> R>3.
Syatrwt:
k,*-1cl
Krg= I
cr7
C=
o=
Oz
Fn* Lttnq.er*f,
u2 ct) __ \r()us(D . V(t)
**$=*t)dt * RrgC,", - t)
hual Pu d.ty,(w+ :
fv1, _ n, / -)A1rrI lq Aa' La/--
M"3 =- Ca
v. Ilr1 - ---:--L1
kr2-3 --
-Lve'
frna* g*nt
M,=L,
frr--- L=
y1e=b
R' 'f' - +;J f a* * R, cd, -r,) + R. ( r', .-i*)
R2 C ia- P,) -tf c,;-,e) df + ?rz]i, - e).
4- Rg Cis -i,) n_
tu )," R2s
\
.,#; + (v,-vr) -o.+ v'; "i J v & "t (v,*u) +JF3
'" *"cW
q clusV
dt
)-o(vr* v,) + *,frn -yO ott + l- ( vn- B) --o
Rzz
i cvs-v) - ;.,rJ,r_
_r,)& +.1.?*3
Cvs - v) -*o
T)L>
0=
o> Ml
6r' +I
d.N t*M, +
L r, +blt
g , d- (r(,-xr) + k CN,* x)-t w* ' -/ t
Mr-
Fr
T2(1 M1
<- ts\
&lwtioyr,"2t1
h*,b,.r -,b,b,
bu,
M"v
6r'
brD - M2
& -)'vdt'- ffi )
0= lk1, db'ffi-
6ft) = t4>
cl'^, Iw* cl, twr- r'Jft
cD
$tD= bpr+[o, rls, nlu , *bo,
K>ct> *ur+ + B1a
*&, co1*-tr),
dt*ro=u ,=JvM'
* Er Cv,--uz) + f' _Lu ,*vo)&t ---+ G)
*e + rr{u, "* +BJ z- + Bt ( v*-y)
rkrlar_v)*__*Foru Vo llage I
0=
ek) =
',* i-R, ci,- t") +{ J,, ,- |,) *
" +; ! ,rff) di- +
* Fz c tz *ir)
Lzd4,oW
Ryl'y
')bt &;-'
0
hrcn c'u'rvp*f t
0= &t
2bt aiu
,t{efrocvvk,
* &, -vr)Fr
+
ri(V, - v,)'-+
Kr
Av,
-&c2
J ru,-v,)b
J-lt-, J
fu"
dv,M
tvat <5", y^ cfrk|'x f, [ut 0.8, e-]n,rol
+ Jr""
v, d*
-v) At
+VL, tRz
P2-
+ 1v\G)
tftp \Cx-rrt'cxble- e k) =
et7 ya*rfabb vr-ct)
Yted = E[s)
v2_(s)
f lf v a'txaXe
7
Treve,ff?\ fi"t^o-kow =-
&ur,rtc,
v1
*ua"r,.4l,rwtaffie.v,,
Fc_ Vs
v,.-v2*
f- 9t
1
v&)
JAI vwc/.z V r,,
et*)Rl
vl---- -{-
Rr
Vs--v t
R2-
)r^*xgr.!-,(
yr o5)+
B1
vt-c) -vrcs)
B"
v>cs>
+ c, *p ---+od*?2_
Af vr.o&.
o
L*plo*
PFt
Y0q)R2
Vr os)
Ec9-6=
P2
t cz_s uz_co ---+6
vs-t
4- c, Av,' .zW_+@
t* eq@
v,(9 - urcs) + Cr s r/r cs) __+@
?z
= Rrf
L
V cs)
+ e:S
vrcs)R.,
v,c)R-
v>(s)
c-s ILLOI -fi_l
V&R2_
Rr .l-Cr.9Vrfd)
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8
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a
l%,U<)
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\ + orsr,_
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P,
+ ',n[ P2 krcs) + 2>
,rlru
trP + [.o u,ts) +
[+ vz cD + r--,sa2 v>
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Ecs)
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)lv,H
b cs> +S q vz-cs) pz * ?>v(, +ors(2yz.cs) _ \tgP2tci sva es) f e, S2c, y.rc,s),
vzc 9)
P2r
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I
i*,!
rR, I R, ur.O * 6c-_urcs) R_i
= - Vz Ls) +CrJ \,;c:.p,
+ r/ u*cQ +pr, S*rt@,
trO{R\ + g* urrEB r * pr2sg vrcoR,#cr 3 vrcs) R,e, #<\ s?_ v_cg B, k..
*c, gcr\G> E"J
&"
Ect =
R, Prlrcs) *! o,
- %_cs) e,
a
ES) :
% cs)
=EG)
RrRz +Sc, f++e & €,,-
Rr { piers- c, Sre,
{o-Rr *Rfut.el
*el%-R'
R2_
f nr(z * Bc-I , RiRr
| #c, st?,, R,
+ PiR.' + Bis.r*, _^;l;c, s'.,. R=&\ l
.9re ADy .974TE r'RRoR
{--l.ghttic qf-'
o
tt)
.9rr+Ttc ERRon
W ayttu ff*:S+ottc 'Q-xter 1gY''stantt
pxttional eeL>h cnalunt
VetodQ cntol ccYrrhr't-)
nlo"% Plas
kp, kn , t(a
9'sS
A **U fiaedhack A.ftanr\
t^ tt"v = .g-> o
&o- = .rT"
01ss A cq
satururyrfuu qi) rffi q *Ao "tr^ rii)Att
acCahrotob aLq.c4 cce"ztan;t
Ald tiii) E1-xtto &t^ &"tf.$trttteh
Cr tg f| Cs) E
at oxY
q Cs) H Cs2
s" c'r tO # cs)
=: +o Cs't--:)
s(s+r) t-v+)@qeft C^D - "ffi^cnt:,.fi
B*A[ l+sr) Bno*
i lp ur"rtln
+o Cs+z)
s (St) ( s*+)C6x6rda, Fl-C s) . I
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t ii) Euo,r
v
% plu at o*W
cn $$rcfuL
ei) No"
kP
S+c
Lt
S+o
s (sr) (s++)
40 s( ttzLs)
Irnagu/tack + ,
U
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tt gc c srz)
S (s .r-r) /.e+^ t
ry. rg +o (t+ %,
Ls+,) Cs++)
etryLr_t C+)
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ky
=oD
4o (v)[) t+)
=tt-Jto
+a CS+Y),
tso, arl-+)S 4o CS+ r;s (-s+D Cs++)
kL Lt,S+ c
gz +c &+z)
s ( sH) Cs++)t:ls"Pts+r)tsr+;
}rLt= S+c
k^=oLlir; ^\ -
&tror , *@l x+#e ea.Loff
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+2c
€ss .: g.L
€ss Cs+.p i lr)
f.,, Ar-e irfltt
Wfr x"*,p 7lr
u"tfl, ntctgt t*tutt=Iiffir
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6)-s.g (p"xatn0-t. i tp)
,(&
rr,a #";H';-r /n ri'd{ftq zta.,d"{ ^+oftL
AApl 'ts l&-ss tR4'h o "l
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- C,i*, i lf h C9 ' tr6t
shr r-ytac. Trollsp un- % xCtS tr'o tr RC9
RB): LLrlrt =L[r tafl
R t9 = ,,rn L ls'
zALcL 6 3*d,'rndn uC) f's f* W
gCs) E Rfu)
t t&r t!) HCI)
fls't {ls"
o&HA+alr1 hr Tt'ltqu ff*'fu W
a
LDRorl thL ; lP t k) = tt-dt Td..a";^t't
(-- k, ( zs+-,2 --l
L-t " srss*)twoi
[y, n rtt) sfss+,] t t9"
sCrys+r) t ru)? kr (rst9
Qc e^h bQ- **aiwd F"*
S+"
4n'@&Cs)=
epp$ackV
k, (rs+r)
p-ts) =
,dtqt- t-&,tDA
Vot.u'.2 tft.e-Otaom
e$ [tf -;^
6t'^t
(s, = ^ [t-
JJO ^1 , + 6 fstasrrerx:l.') / s f s(as*) C tt-r)k' [vsr.)) s" Lsdssu)(tt)7L L- +x't>s+tl
s (rs rt tt+s) L
s &r.pft.rsh rto+r$ &f"-f -r,-re br-)
_tt.9+ o
€ss = 9+ Vk,
eil€fi -lfiaf e.$ < o'l
o-l = -L
TRz voL* 5 k,."ffr-o /Kv-o-U ,3't1te
;Ao)ild h 'le$
€Jr-'x '\e/'3 ff.at'
fRCI,. &.
O, I
f't
k, = ^/u.,
narnfr- uegr
Errvor StLL(A'.
e{r) = rft) co a rr[b) c I + ""(L) cz +rP ca +-zt 31
r(L) ' rnpu! stn^ol '
co ) Lt>Lz ' r tz;.;.u{ c'e{-6't'cia'^}+ '
cn = lk dq FB).E)o@
F-r"ror cor&tnz'1L :
O ^-o/Q.F(s) :
r+a{s) I-lLs)
s c{rttln^lt-For a clos-[ ]ocp zsist<Nl' 6{9 =.l=. and \i (s) =
Xrr$^o,ttsrd e^Lo{' coe}fdenls o'nd gnd Qr\/Lo{ t*-'Les
F(s) = I
t+ c($tts)
t+_S Suo \StS
i
^i-? )ie/i
II
I
I
I
I
I
I
I
i
II
I
t
I
t
eYrov c oofiy'et urK(9 = lx
S)O l+ J-.S tS
-l
c1 = Jh d- IsrI )s,o #L:#r/ L'-' t-Lsi^fl+ ry= )L (S+roT r )- [s+ s)c r) o+uw^;"t;'c'riovr )r-)oG
= l* S,S)o (s+roJ2
Cq : S = O.O5Ioo
c>-- w &l#)s->D asz I s+to,
cz : )J a_ t:_1ry s-)o Af Es6"-J
S)o L6+,rr,c2 = -l- =-o.ol
loo
Ca = il6 a3 fsrs-lv--l_1s_)o ds3 fs+ro_.1
= t* d /--rD -1S+o ffiLm-lg]
S-> o ks.rr!5ffi
L+)
@
ek) = r[L) !r* ;(L)(o'os) - ry to'or) ';;f,)qo'o*?.,
e[n, o.sY[L )+o'osv(tl €c)'oDsr'b) +o''oo 5. "V
+
A*ae.lEtvot.c"*b&
t
Erffor AAie"
'. Ct = O'OS
C2 = -O'ol
o.s ttL) + o'Ds ;@-o' oos;ft ) +o "';l fO
1r,{)
Ac*.vo|^ww1,tc?+mw}oc,t.3[rudbod<-,.sA\aou}ru
-va tha' Vf u)nalr's +t'tz' *aAP@)'!- t{Uf @ r1^g- J^Z'a
bwP? lp, Cjrtn 44o& cu = o .} oJ-s'o c^!,,)ae +1/.-l^1 ic-,-
+i rnr , '7o^y-r1' rn-a'rrnarinr-u-rru {2aa}'CI\d'Lsh OY A #^B
i:vtw
(s) =
l2tg)t6
SZ+O,VA
1L tb,^K&t\.s'+o.V*tb
.,5 ( 6+ Put
O -
, t, z , I
ct9T, -)? DIL
42+o.82+lbt4+ l6
corvtpttnq*U abov< zqsrch'@ cDiY<'
& con c{ etrdrl Syrcrn zal't'eti on tu"d'j^dan^f; )
uJnLL
6z+2bu+1*0n
,uC r-r'= I b
r"3n = Q <ad /Le c
z&an = 6, B+\6tc
z*Ltb = o .*+t6K
fE = o's+l5kgIo'S = 6't+lbLc
(.-{ -o.g --l6K9.2 /_ V
)b
vf,1So Sulc vt --o.2 t rZ aAl.,.aJ''ot C
UDQ * S-9 = r?e!8)-az+qb+l b
R(L )-- )/' ,tS
&=ffit6
---'1
1r162/qt+le)
A 4 B*+cA 6,zatafrlb
Areat),.trr\L{Eg+Da
ct9T, t6
42+o,tZ+lbL<A+ l6 -Dc o/ytpLun q W a-bov:Q zq*ah'vL c') i +w
& con c{ ordr* Syrcrn eal*p;,i on Ct-v-rd'r'td"'"P*l )
ooLo
Szt2bu+jltln u
,r r'r2= I b
r,3n = Qrad/z'eC
Z&6n = 6-B+\bt{-z*uq = o 's+l6K
fA =e't+lbttgxD'S = 6'k+l6Lc
t-l-O,g--lbr-3.2 -- v
)b
V#1SO SuJo vL -- o.2 t 'Z Qe/'.lJ;o ,.' O
ta e(g)1---
az+-VA+l b
Uceq* cG) =\J --
R(s)-- k&=ffi
tbffi*e = A +ts*+cA 6za-,aflb
A I rzr.rrr r r r-a\+{B8+ O A
Pr* At otb=154.tr;t
e--11r+H1
0=
I1 -'tr'
S
I
3
I
-L.E
II
S
S--S2l,t4/S+ 16
s+2
Ix+ZF+ t/i"*
{?vcot.G r
-- LlJ
*++*+ lu
t L -tJ .fi21s+eF+t/izP
-'fiI, [a+zf +6DL
tg d-?bsJ.,t..tr? t).- t) raVsa(,nO
oa$$'uo'\'ts 4 *'
Qqp.a-h-r' nV eo eff'cr 0^}5 a* S
t{A+c--D
"ffiCN) -6--
cls)
ra-Ll-(#r b-Lt 1n. 'z
-ffi-*'W
Mu,fr
R f S-t tirnz = .I1-g
6d
0 = uan-,f .'fl\E )
= +oo-,c, .r?zo)e = l.oqr
w4 = wnQz= ,, nr[G.rf
? Qro,f6LtO4 = 3,t{6q yd/,"q
z fl -f"OV'l3.\L Ll
I}ss ti,"^a z Q. buc
P{-aJ( U'mo q
-^
w6r r-q-
TIq{Ahz
--f3.q6 q
kp =O,9/\.LL
;Qn/q" ^roo
d-toon/^fffi_
{ffi)
-l
o,r ,/
'/. vP =
x loO
'/ 'v p=
,/,HP
-1.*129L x loo
= )6 /
lrs = j1*Qan
=qfiq1bE = le,uc
QV Apu, Joiy r.F '+ uot+y {rnCba&- ef NLrn t* @t*^lGr rr: ,- v-- M^]"* 3 ol"a T oro,0-
u c,rtstanlt '
Do$a-'t *,*'Pff * bvt ,dilfu" ftaj,'-'' Pt,J\'''r td ae-
{uxrr+i ?v[}r; +}?fl} @v #€rrl [o*pa-,a ;;' -fu*
ffi^Ytl'--lls,l,) .
&,Lrd{eor.
oWpAWr"F = r1c9 F[cs)'Il+& cs;l ttcf
k/,0
tt +rrst'*- K
s(t+rs,s(r+T9+(
C*.pe? ru-tft
sxda d"s"d !"tr
'Ifi.q v a.bn D6
2$rD6
q
,k (k 1r)osrry [email protected] &^^ % Sac€rd
,&Ll,slat,- u)^ou D*+, $D,ft o^1
'b-r-Y xo*- s,
NoLD #A 1s ,1 %
lQnt r,*
nzOn' = kl, u\ . J-+rl
"T: -_l = l{F
zr t}n zfJn-i
=li z_m
f"rr ( rnax-iynuvn p-k eL,o gh"rt Vcckn)
,-- ^*rtgffi" _rz*.
@
ry: 1ry/ s lt[0o
1ry = too €*$ $|fi:A'
o'1t = t'l E lJG6L
{-akir\q h 614 l'dtff '&AwJ
/^ Co'1s) = -rr 6 l-[ t*"o.2BJ6 r lt$
oh wt) ffr"
?
€" = B" 3to3rX to*3
€*T4,f_il T, "
btft a :C.za
=. *n6,1JG,"TI ,< Yt-
My
ahd Sa np 2_6 ,/.
@=) o.25- =
t"k^? Lj., sh
{h C t,rE)
l' gk6s
(o'oBv1D(r-€):n'+' .'.Tsj.rfB. as -{ to-3 C r -6) = €r'
q = o"otil
t -f,'.&ru.a-Lth? oor lrcttfr
,A"^\3
C ta) l^* 0( vwat W
2p nn^ +-t tl-. ' /
o. AeEtryr;+ :
sa h+R ,si{u
c r - €,")a4Lt:
Yr
= TT' E,'
o.lAeq
7s/ t" 2s /" a,
tb o.+o37 *$,
-+@
t/ s-f\r
l, 9zt8
9'+o3'l
t t Cha^ffl,V firor""
r",,xf bL ,*Y f" o' oq t/
f-"^A Aa% g
@1o
4: D.oqtl
g,ogil 6
% O ar'd@
p'QP5-6ff+ -:
hlou-, E. I LTu Waau')2Jkr
p.4a\t =*!- +o
t';FVr-R,
g'05Pq 2 = -ErR.
h",il*VL?r4 \ D.osofatW
k1-R-
- . h r.A6 ,fl ^L
/^ll
B clr PLoT
rYw oWfi woP tra,ra'tor1 +uhcti on
+wdbau s Ys 4axn is hc s t :
sTop " I
^yz\--^--',1
0* &; _\
S(S+r) (s'+zs+E)
s cg+t) Cs"+>s+S)
fscS+r) F (4 *
I
s c 9+)) ( o''tsz + }'Jrs+' )
tnc)ur)
I
wu+a
UM Wdo Plo*U to +tytd lnun pha-ya mMqin Lwrc)fi/d w|c.(i,',1 How slrr,o uLd bz +ylo Awfi adlw+ 'th
ro d {iri) Bou swu}c w w hun adaw so *ha+
w Lqc : 1 .z -vq[l ) wc Gv; hot't'r shl uA be ihe 0 tun
qdJLtB+ so ;rha* phqw YYqAqin ln 4sde
Cn cs) :
102--> -L
-
\5 r)
Cr\r g)
)w c )tr + r2 ( o' zw2 +0.4 tut +t)
w
ste? I g€-.-Z't_-/
\+{ rd TYM
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