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Tsulla-Fr {s' a*yuhef, ydry:' 0 ^t- it-t '
+o"altnlor Aae,an'? *f* l'fu-{: sa3'^'I
f ':
i/r
l?n)A,Io*7llawc*vl'+"'<-Jj;wqY.il*''Ylb^u@'Ledin
oEdlto'tot'
-
*,r^3^ f?d
c€rv)
" - *vskaal sk4<
Ot}tl"]ar De,h'34
A u-lCrowsW ASei llo{lrir Ca,nWr-k -bC P1t,-er to RF 1"ot^tey qN
Eo i,s Oue o+ +1,e rwast ban'ie etnd Q/ne*^l CDL.L^foqer^.lS
";a
tl.,e ,.,icrou,elQ
"ff Pv't '
n salid s,pfu o=.j llor+ar u-a€.s qm aehve d.wtce -cqcl,-aa d-aode
ov fowilslor  vl Caujuch'oq u,ifh a Tasu4 .c-Kt .l-o profas q
sinueoA)a! ,k LJ ,sl*+e- (P e;jr,"al '
frl slorl txy, l,,ow>evtr osci ltah^ol'l i4 +-lfSereA' bX *""ang"e*P
M r,.rrise Al4er- olndna Prv1erll de,>t3ned Os'Ct"l-la*or *rtA
,4ack a, elqble OSa;Lbhfia skk.Tt4s WU/fl r<,rttw) tLot/t-
,9;near achv< Levice 6r L'vet renislsnce 'Jei c{ '
flL slort
uf
,.e fort- ry-n+*h^ R*zlns$rtce os"i lg*er
fl zl4 tT,w)
= KinLr,g
+Jxi{(rg
(,-
trrtLz;r)
Aa z (r.r-j xin [-r( (a-isfience ]e v1
"'h,erz,
of zin (5N) z (i n(rrut) *J xi"rvra)
fuvt .iE W cnffir* oT ?lqe ta*f'r' l'ttel d.f"i.&"*1, * -*l
y) ke1*+nc1 d.?enJe*'
? frn *s.,llnln, k csvlsl,utcl<.J uj ee4n"r1a w nlo*',e *uisfu^
dence fQ a Pazvi* L'oae
zs ? (u +i {r-
l+ppyA </1, w 3+
$r+z;9r = 0
*S{ -ealldhdvl i,e
Wu*zem. nence $ur
ir,r*p!i C4 f,*ffqL
f Zt-zoIt- _
=
ocrrama gvtch +t^*+ tte rc cu
osr:,tto-i a"t ( s@* s'1a1e)' 4
=-Z,n ltqq
-{
u t
-z)vttz-o
t iYl
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m<fA
tjs
+o
WAV9 ,
Z1- 't 7i4 =O --O
i'e. Krt (;^ (r, w) =o - I
qq& Xrt l(inr (r,*) ts-o -@
For po,ffiye .i-ffiJ (r)0 I e44@ ;ngs+€/) 'fl"qL k^Lr'')(
? fl,qs t'a +w. re,vtslanrc I u'7't+e'c enefi 3 d4sgi P$M '
Q *ve
=troff;tr tr 2;^"u'3.1ui: tr rtr^3.,f^os
ar r"4'"1
) TI,.e cs,ndrllou im n ":O
-fon
it"-'* -sPk osallah'o1{
ar, finf; = L
,or, f;^ tr, ,) l_ L.) : I
flence, Q nla utt-u oecJJ'et#- wLan
linLT,tD) fr(ur"t = I
i-e ln"l 1r;-l =t
([n + {t :0, *N
@
1pn+lf : * oue porl osc,lt.^+oT v*+a o lve' ytLyt'sleuce &,rde
bUn fin = I'e; 4qti, (za =son) a* ik Jeretr<J ryr*A
Por'^f
"
Fo- [ =*q"z ^beriXn )-Dc^J ,*,r+c[,1 nlw &o d q -sotL
)"6cH iv,*pe d-aqce ,
I
Zivt = zs t+l1q : 'L"tt4 1-Jlt37L
' Tnn
'1 7. v -z;/L =QH+jlL3n'. t-L
rN rrrr+rroN oE asLr LLArroN I^
'TTa"e pn cuA 6+ asc,llo-fioz- A'?'wdn ov1 bel"a
^ t t o*? ., )- L.ar be qnlfu b le-
Yf,:tr'T,[^':J,',ry"F:!;y urLw,+ [o be q^stubte
at a cerlo;a **+^'<n''iV1 r'* ory-F'F n1w iA unslqble o'f ut
,* tt^e n* ,rtzisl<nc l;;) * +t'<" ni,, ib nfve ' Fr'
("+ =- ('" I r,
'n) t (. t'J (o
Arny fu*;e* c ru f-ha't *' t-o wnlx' in +4'a cxt dq
irci hb+e ovt osultuho't e'+ t-Dt l*- 'utl^'tcV
X^* = /rn (r'u') f t'u Lt') @
) ft X*,*nre s,vtt,r,.s-ote4 cs-lryY+* te) t*11-l t*o',' 'ltato'-Xtn fbe
O*t-rlpltr 4-Ord.tt r-Ho,A ,riW 'eoLhnq€ t' b*'t le uf,f^^ y u
E, @ l,r;,ld.s rle. ftq n4 ^rttvisl<nC becawneo
^ru*t'<-'
R"* x -v<'
No@, a .rc-Dtel,eD l-o
'k^*
sW r' lwo) vi^tch occtt,r- ut^e'a
ft^ [ro,wo)t(.=o (C
(irt (r*o,woSfXr- =o *--6
qT1,,t Osa1a+r ip Tl.t,w-tr1 ivl sl<bte €Fu+et TW -{.'4 /"lcf*-
' DP rsullo-try U", orrer^la +*^ @ Sene'dttr b,^ulle-ev*-
,{rou W sprlT fuf*^rJ Lg beiaart* i;n i4 Lutxe,l*
dTew&en[s €o +1'@]
x;n (r,-) + *in tro '
w)
Tl,'q €e-4Jj hqrtc' of wutl*ttou, o'o ee* b1 @^4 D ara ,'Nt*
gi*fiuin+ fo gqqmii" a et-ahle eta€ '4 oPe'ufiaa'
@
) For o 9@bk acallohfu orltJ Aenohoq i,t Ur.rq U9 Or
{"lly.+nci (59 u,iI-l yr, *^*F:r,:4- lottowtv4 t14 oedildhcwl
to'rti* to iB o'iff"*l 6P]e'
90, va- w"e&_ coulih
$kn Lr,d I ax+ttt1
3 f lr =5 d ur /to:t'b
. 3 xi,a
Mn^"or{y in ymchrc ,
{$- Lo) =o
4.u,44*t.,) l**"dF brq
- rD:tr)g
Tmnsslar M
f*, ftv
@ L';9
grl fuonus@r oic.i ll,-+oy c)'-w,'..eris[er'tce
y'-7o{t W .-Y"U*!
ira pe&r,tce
.arotqrted -6 iort'1t,< 4^q-J" i ce i': an vneh^g Tefl)*a'
rr,qq rh-{ "iljJ::''I,* cevt be a"l uwr sate ol il* {"anoislor'
-ff^r{e cs,adrhrus lo be e*+iffr€J hT o tl'*A +&}o gorF
6s;1)tolarr circt iL ' ,@* s 1.,1e' {o, av1 *,all*hout to ,(cLtr'
CovtJhqEI
t- -' -
t.,is ivt6tc*+ec W+ W'-17p' vaalshnrc de-vice i+tEf bf*"*V
Tert*t
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irt ttq vnrtqUte "w") ;E in tt"e osulldh'd4 1n^ode
(oM;FoYffi:'
osatb*ifq ilP
0
osolld-hT o-u+Ptl.f ?a7+
ffiwW'
G4J-i h'ox4 'lt3 '-
o14 eplLtolL+T rle' il- o'ne
"iusl aiso be wull*+'f '
9u - AG
t - SzrG
t/ r-fe,tf-lu"l +lAl?
K=-' L fsrrf lsr,l
A = Cn9zr-4z9at
l[, I :l',,r#Ul =1
le*l = lr,,+ e,rs,, l=t
l-- vsrf, I
Gne, hoa + 2 -+ #3 art JeTenJe*
porl ie *i,[r: h ** Jrw'7ort
For e{aa! sla)+--osdlrtavl l'
fi^ fln =1
+= f;^ -'€u +
oVe* A - 9rt Sz_z- gtr sz
I
htiry hr lr ff@qJ
f = l-S"ll^.t7 -6n
we h4he lr+ = gz, +
'fus^' G
t - ste G
,," rLt, 2
l-enfr-
Sta- Af
t -snft-
Z-f = Zrt4Mu,,
@
Th,ra C"r4A;Hn4 lon- osullnhorl 6l
goh3 heJ r z- r
lr'/('
lr'l<l
{"r 6'taD Hwt # z
ln^l z I
lerw,*!4fr nfiD ib
4#s
b clqse1 lo -'T€nat *,le- 'Y^ea<E-
fruo,
lf*"+l t t
Le;z',
tvt P
ro ceL-''t.,t {o r Tm*i sler w ull o-l*r''
a ee)ecl a Tore*haty "*vu"
't en*istor of )enT u ft"r*^!J
o+ osu lloh 614'
@ sdec+- an %p*y,
t,.*rte fun*is (or Qrc*j F er^hXuwlitn
$, BfTs i Cowttuon bon< $r 7p1au*av1 Lt'*tlHrcf
fur PE Ts i Catatu-otL 'qek of Cov'at''r"ovt gourte
@ Y** ou.+p+ shbt; urcte i4 G 7'9aL'Q'
(9 saecl an, ef ?To?.irak 'fi,Jue {o, G i4 W ur4s loule
feVtoU F" p n lrtce q Vat *<rr1'slante,
i.€. lr;nl 7 tla4 <o
@ sdu.l +ta J.-at,J luuwt*1 qlw iwTeda? ("4 * t; Pt"o crF
w€r€ a ou.- poyt osc.ttt"**7 4 e!',h,'i ;l-s VilAu eqcl^ tl*t
(r-+fu(, ,,,r. .
Trr p*rH.e'-t, s*f.ifo fl"c ssd ll&ou shrW esuilHo4
[r+ (1, qr, n Hr[^l {&L}^e d (t is ,,oosew euch 4
fu = ay, (i*(o
f,,'L v<Aciw Po't d zY
v - KirlA1
@ ,.5, tl,-e .t-aal {unwv4 avlJ +l'.v- k'wtt'* h'7 u/ws
.wtfU -l-rtt,-yeJ 'otr dr:eQhl-t€J e)euary'
@
€r'9l.,*?te:'
Dwqn q l,onseslor osctttnlor ^+ ''tQnctw>41: ,,Q1,,?
Fe f ivt Cowtt/'td4 tr eonhiure*fiaa u4ru 'q- 5'H ivtd"cbr
ivt gealeD tAH^ S* f-o ino<tr*t tLe insl<U;Ary, al"+nse q
k u".iLr*-);^q ill &, Fo u-u+eL 'Fo a So'lL 'l'a<tJ 4 avl
*?P f "l-e ktn^4 v1 aQ+>ot-K ' Qi * t't
f-r,r*
(Yso f ,&c {r;o I G
?0,5e (- to,ro
s = I ,'ut l eo Q'52 t ssI
L
@
4 Soe,
*'t, t
"
"hu',-t'Tv1
(arcle- ivt ruu f' -yJaue u*tru
fl^o tewl<r q r(C ryae'ua f :^
ai
e.: (e..-A"i,'! =l'o8Qg'
lsulo- lal L
trL'oo{
Fl = ]r" te*sf r 0'547Eso-A'T5ss"x
t'{6 <'*l
7 lt'su
Q-eB'oo I
7 2'3q'
.o ,^,L_
L- )1l::):l".tt*,ffs"r ;
a 0'l. Ll 2-
k =lr
^"1
=0'665
@
=)'vlere lr,,l =t,le (> l), W ae,rler- t+ H,q S*'i,-Lt eliit
'V vnehUte Teqiou . Hence fl,"e sl<ble ryy^ot4 b i'a*t]e
+r,e olf
"Wui-8 ry drtle (stod.eA) anJ'1'* vnBDqA&e
qre-d b znelqbrc
Ther< qra trt{',wle el*oiceo lar s'e)ecHou.
'+
ff '
{Me 1," db@aed- u,L*n ;t t^"*tudtza te I
ff^--,1i n l,i."-t ovrl sw-ot, f; b sdeckd oA
G = o' 59 {'tou"
zy = A'o-185tL
rLis sd"clio't "+ G 'l"ab {-o
b* W b".f
f,^l lo'baa
f;'r
-f1vQ-w ZiA
W e Je-l+n"*l ne
zL- *
=
=3'36 4-l'o
='8q {t'9tL .rroM e o+ zL M
W iwle A-a'lr.ee
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- ky -i xiw
ql'*Al uAsqfr aYr'ff
W"
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bo.r<l 6!1, w 'ilueo ,, be *Aze) '
-knd^'+';:l*'
#SlFor L*>aJ - Tu;'3 t
zL:Rgtit'9L
Tv = "2, = 't'9 lJ t' q *rL =
o' 5 6 ri o'o38
0
9
p)-Df lAs mL eGfU Cl,srt ,,
6.6otl2 rv,.ils're'M9
*ttata9
ht)l .,
=*,More
hz"v^ A lo'ls ?oi*) to
hne 6+ Jerytk s'042 (eee
fuudy nlro becoY+eo
I o' 56x5o) =
AgtL
B (5r ?o'*)
*wt tla- gl"qr[)'
Urrt 4 A Sedea
J
'y1*a )Qad
) fl* kevg iYrac
t"**i sS'tovt ,bne t+
Sot: z
More ['rau 'C'
f t'g ?o
serreo "'l)ne '+
/t*1 t-k Lo' 0D'? *o"<s2)
S,,+tY^ eL4 r+)'T1,e4 'l-6d ru^1 ^l"t
Lr"gxso) =1oJL
ASfL
Hc^l oa u-e eAvl Ce
l€+e
iXwr< '9enett
SracLL a el"Aot lel tta
e Lq.t) u4l3 q
= 0'"?Sq-q (3ee
bQ.Couea
, (. t r',torr^.Jti ry
9olt
,@
for Terr,*i*h"t N/r, o^
x{-,,j.xa Fo 4"i^sl"rr^a GorL
Sot I
2 rvow
)no*
Sotz
) rular,<
,)_u1u
ftfb
) fqor,<-
cK t- 3w 6+ teYltt
!-rr"e # tegfh
$w o[ leql
= o'3L2
WYl W eol I lor tl,,v.
J
"l*1 fhe cK lFoK
5o,/L
.Loc1S .
o?eq e4rb onL Q geryiu U*,8
tazT.
Zf = to'izs,tt
fu 2ry=o't4'Jo'+
{ro,^.t'n' lo'8' v*t! aA ryen
(0',{ o6A- O'tsA) =o'l5eA
hotv 'd +o
'c' v*'"1 q Een uc
(o,s'o'qAc)2 r o'39q4
= 0'V692
4rowt
'A' W'a' v;vfl an r.fe c<V eL-u* sfub 14
7 Co'{
s2t o'or'tA) =
i^ 'd Fo 'c' 'IYIA
gc ? 'Lo'3gLl2' o'o*v
o' 3LlL1 2
q e enut
D
*oal - [*.,
^^J
4_t<<"*tA'4
,0-t <e
o,3A

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Oscillator design

  • 1. @ Tsulla-Fr {s' a*yuhef, ydry:' 0 ^t- it-t ' +o"altnlor Aae,an'? *f* l'fu-{: sa3'^'I f ': i/r l?n)A,Io*7llawc*vl'+"'<-Jj;wqY.il*''Ylb^u@'Ledin oEdlto'tot' - *,r^3^ f?d c€rv) " - *vskaal sk4< Ot}tl"]ar De,h'34 A u-lCrowsW ASei llo{lrir Ca,nWr-k -bC P1t,-er to RF 1"ot^tey qN Eo i,s Oue o+ +1,e rwast ban'ie etnd Q/ne*^l CDL.L^foqer^.lS ";a tl.,e ,.,icrou,elQ "ff Pv't ' n salid s,pfu o=.j llor+ar u-a€.s qm aehve d.wtce -cqcl,-aa d-aode ov fowilslor vl Caujuch'oq u,ifh a Tasu4 .c-Kt .l-o profas q sinueoA)a! ,k LJ ,sl*+e- (P e;jr,"al ' frl slorl txy, l,,ow>evtr osci ltah^ol'l i4 +-lfSereA' bX *""ang"e*P M r,.rrise Al4er- olndna Prv1erll de,>t3ned Os'Ct"l-la*or *rtA ,4ack a, elqble OSa;Lbhfia skk.Tt4s WU/fl r<,rttw) tLot/t- ,9;near achv< Levice 6r L'vet renislsnce 'Jei c{ ' flL slort uf ,.e fort- ry-n+*h^ R*zlns$rtce os"i lg*er fl zl4 tT,w) = KinLr,g +Jxi{(rg (,- trrtLz;r) Aa z (r.r-j xin [-r( (a-isfience ]e v1 "'h,erz, of zin (5N) z (i n(rrut) *J xi"rvra)
  • 2. fuvt .iE W cnffir* oT ?lqe ta*f'r' l'ttel d.f"i.&"*1, * -*l y) ke1*+nc1 d.?enJe*' ? frn *s.,llnln, k csvlsl,utcl<.J uj ee4n"r1a w nlo*',e *uisfu^ dence fQ a Pazvi* L'oae zs ? (u +i {r- l+ppyA </1, w 3+ $r+z;9r = 0 *S{ -ealldhdvl i,e Wu*zem. nence $ur ir,r*p!i C4 f,*ffqL f Zt-zoIt- _ = ocrrama gvtch +t^*+ tte rc cu osr:,tto-i a"t ( s@* s'1a1e)' 4 =-Z,n ltqq -{ u t -z)vttz-o t iYl Lr.4}-te* m<fA tjs +o WAV9 , Z1- 't 7i4 =O --O i'e. Krt (;^ (r, w) =o - I qq& Xrt l(inr (r,*) ts-o -@ For po,ffiye .i-ffiJ (r)0 I e44@ ;ngs+€/) 'fl"qL k^Lr'')( ? fl,qs t'a +w. re,vtslanrc I u'7't+e'c enefi 3 d4sgi P$M ' Q *ve =troff;tr tr 2;^"u'3.1ui: tr rtr^3.,f^os ar r"4'"1 ) TI,.e cs,ndrllou im n ":O -fon it"-'* -sPk osallah'o1{ ar, finf; = L ,or, f;^ tr, ,) l_ L.) : I flence, Q nla utt-u oecJJ'et#- wLan linLT,tD) fr(ur"t = I i-e ln"l 1r;-l =t ([n + {t :0, *N
  • 3. @ 1pn+lf : * oue porl osc,lt.^+oT v*+a o lve' ytLyt'sleuce &,rde bUn fin = I'e; 4qti, (za =son) a* ik Jeretr<J ryr*A Por'^f " Fo- [ =*q"z ^beriXn )-Dc^J ,*,r+c[,1 nlw &o d q -sotL )"6cH iv,*pe d-aqce , I Zivt = zs t+l1q : 'L"tt4 1-Jlt37L ' Tnn '1 7. v -z;/L =QH+jlL3n'. t-L rN rrrr+rroN oE asLr LLArroN I^ 'TTa"e pn cuA 6+ asc,llo-fioz- A'?'wdn ov1 bel"a ^ t t o*? ., )- L.ar be qnlfu b le- Yf,:tr'T,[^':J,',ry"F:!;y urLw,+ [o be q^stubte at a cerlo;a **+^'<n''iV1 r'* ory-F'F n1w iA unslqble o'f ut ,* tt^e n* ,rtzisl<nc l;;) * +t'<" ni,, ib nfve ' Fr' ("+ =- ('" I r, 'n) t (. t'J (o Arny fu*;e* c ru f-ha't *' t-o wnlx' in +4'a cxt dq irci hb+e ovt osultuho't e'+ t-Dt l*- 'utl^'tcV X^* = /rn (r'u') f t'u Lt') @ ) ft X*,*nre s,vtt,r,.s-ote4 cs-lryY+* te) t*11-l t*o',' 'ltato'-Xtn fbe O*t-rlpltr 4-Ord.tt r-Ho,A ,riW 'eoLhnq€ t' b*'t le uf,f^^ y u E, @ l,r;,ld.s rle. ftq n4 ^rttvisl<nC becawneo ^ru*t'<-' R"* x -v<' No@, a .rc-Dtel,eD l-o 'k^* sW r' lwo) vi^tch occtt,r- ut^e'a ft^ [ro,wo)t(.=o (C (irt (r*o,woSfXr- =o *--6 qT1,,t Osa1a+r ip Tl.t,w-tr1 ivl sl<bte €Fu+et TW -{.'4 /"lcf*- ' DP rsullo-try U", orrer^la +*^ @ Sene'dttr b,^ulle-ev*- ,{rou W sprlT fuf*^rJ Lg beiaart* i;n i4 Lutxe,l* dTew&en[s €o +1'@] x;n (r,-) + *in tro ' w) Tl,'q €e-4Jj hqrtc' of wutl*ttou, o'o ee* b1 @^4 D ara ,'Nt* gi*fiuin+ fo gqqmii" a et-ahle eta€ '4 oPe'ufiaa'
  • 4. @ ) For o 9@bk acallohfu orltJ Aenohoq i,t Ur.rq U9 Or {"lly.+nci (59 u,iI-l yr, *^*F:r,:4- lottowtv4 t14 oedildhcwl to'rti* to iB o'iff"*l 6P]e' 90, va- w"e&_ coulih $kn Lr,d I ax+ttt1 3 f lr =5 d ur /to:t'b . 3 xi,a Mn^"or{y in ymchrc , {$- Lo) =o 4.u,44*t.,) l**"dF brq - rD:tr)g Tmnsslar M f*, ftv @ L';9 grl fuonus@r oic.i ll,-+oy c)'-w,'..eris[er'tce y'-7o{t W .-Y"U*! ira pe&r,tce .arotqrted -6 iort'1t,< 4^q-J" i ce i': an vneh^g Tefl)*a' rr,qq rh-{ "iljJ::''I,* cevt be a"l uwr sate ol il* {"anoislor' -ff^r{e cs,adrhrus lo be e*+iffr€J hT o tl'*A +&}o gorF 6s;1)tolarr circt iL ' ,@* s 1.,1e' {o, av1 *,all*hout to ,(cLtr' CovtJhqEI t- -' - t.,is ivt6tc*+ec W+ W'-17p' vaalshnrc de-vice i+tEf bf*"*V Tert*t ^l* irt ttq vnrtqUte "w") ;E in tt"e osulldh'd4 1n^ode
  • 5. (oM;FoYffi:' osatb*ifq ilP 0 osolld-hT o-u+Ptl.f ?a7+ ffiwW' G4J-i h'ox4 'lt3 '- o14 eplLtolL+T rle' il- o'ne "iusl aiso be wull*+'f ' 9u - AG t - SzrG t/ r-fe,tf-lu"l +lAl? K=-' L fsrrf lsr,l A = Cn9zr-4z9at l[, I :l',,r#Ul =1 le*l = lr,,+ e,rs,, l=t l-- vsrf, I Gne, hoa + 2 -+ #3 art JeTenJe* porl ie *i,[r: h ** Jrw'7ort For e{aa! sla)+--osdlrtavl l' fi^ fln =1 += f;^ -'€u + oVe* A - 9rt Sz_z- gtr sz I htiry hr lr ff@qJ f = l-S"ll^.t7 -6n we h4he lr+ = gz, + 'fus^' G t - ste G ,," rLt, 2 l-enfr- Sta- Af t -snft- Z-f = Zrt4Mu,,
  • 6. @ Th,ra C"r4A;Hn4 lon- osullnhorl 6l goh3 heJ r z- r lr'/(' lr'l<l {"r 6'taD Hwt # z ln^l z I lerw,*!4fr nfiD ib 4#s b clqse1 lo -'T€nat *,le- 'Y^ea<E- fruo, lf*"+l t t Le;z', tvt P ro ceL-''t.,t {o r Tm*i sler w ull o-l*r'' a ee)ecl a Tore*haty "*vu" 't en*istor of )enT u ft"r*^!J o+ osu lloh 614' @ sdec+- an %p*y, t,.*rte fun*is (or Qrc*j F er^hXuwlitn $, BfTs i Cowttuon bon< $r 7p1au*av1 Lt'*tlHrcf fur PE Ts i Catatu-otL 'qek of Cov'at''r"ovt gourte @ Y** ou.+p+ shbt; urcte i4 G 7'9aL'Q' (9 saecl an, ef ?To?.irak 'fi,Jue {o, G i4 W ur4s loule feVtoU F" p n lrtce q Vat *<rr1'slante, i.€. lr;nl 7 tla4 <o @ sdu.l +ta J.-at,J luuwt*1 qlw iwTeda? ("4 * t; Pt"o crF w€r€ a ou.- poyt osc.ttt"**7 4 e!',h,'i ;l-s VilAu eqcl^ tl*t (r-+fu(, ,,,r. . Trr p*rH.e'-t, s*f.ifo fl"c ssd ll&ou shrW esuilHo4 [r+ (1, qr, n Hr[^l {&L}^e d (t is ,,oosew euch 4 fu = ay, (i*(o f,,'L v<Aciw Po't d zY v - KirlA1 @ ,.5, tl,-e .t-aal {unwv4 avlJ +l'.v- k'wtt'* h'7 u/ws .wtfU -l-rtt,-yeJ 'otr dr:eQhl-t€J e)euary'
  • 7. @ €r'9l.,*?te:' Dwqn q l,onseslor osctttnlor ^+ ''tQnctw>41: ,,Q1,,? Fe f ivt Cowtt/'td4 tr eonhiure*fiaa u4ru 'q- 5'H ivtd"cbr ivt gealeD tAH^ S* f-o ino<tr*t tLe insl<U;Ary, al"+nse q k u".iLr*-);^q ill &, Fo u-u+eL 'Fo a So'lL 'l'a<tJ 4 avl *?P f "l-e ktn^4 v1 aQ+>ot-K ' Qi * t't f-r,r* (Yso f ,&c {r;o I G ?0,5e (- to,ro s = I ,'ut l eo Q'52 t ssI L @ 4 Soe, *'t, t " "hu',-t'Tv1 (arcle- ivt ruu f' -yJaue u*tru fl^o tewl<r q r(C ryae'ua f :^ ai e.: (e..-A"i,'! =l'o8Qg' lsulo- lal L trL'oo{ Fl = ]r" te*sf r 0'547Eso-A'T5ss"x t'{6 <'*l 7 lt'su Q-eB'oo I 7 2'3q' .o ,^,L_ L- )1l::):l".tt*,ffs"r ; a 0'l. Ll 2- k =lr ^"1 =0'665
  • 8. @ =)'vlere lr,,l =t,le (> l), W ae,rler- t+ H,q S*'i,-Lt eliit 'V vnehUte Teqiou . Hence fl,"e sl<ble ryy^ot4 b i'a*t]e +r,e olf "Wui-8 ry drtle (stod.eA) anJ'1'* vnBDqA&e qre-d b znelqbrc Ther< qra trt{',wle el*oiceo lar s'e)ecHou. '+ ff ' {Me 1," db@aed- u,L*n ;t t^"*tudtza te I ff^--,1i n l,i."-t ovrl sw-ot, f; b sdeckd oA G = o' 59 {'tou" zy = A'o-185tL rLis sd"clio't "+ G 'l"ab {-o b* W b".f f,^l lo'baa f;'r -f1vQ-w ZiA W e Je-l+n"*l ne zL- * = =3'36 4-l'o ='8q {t'9tL .rroM e o+ zL M W iwle A-a'lr.ee R>t i xt - ky -i xiw ql'*Al uAsqfr aYr'ff W" '#1-'ff;k4oset, = 'J4D' -j L- l, bo.r<l 6!1, w 'ilueo ,, be *Aze) ' -knd^'+';:l*' #SlFor L*>aJ - Tu;'3 t zL:Rgtit'9L Tv = "2, = 't'9 lJ t' q *rL = o' 5 6 ri o'o38 0
  • 9. 9 p)-Df lAs mL eGfU Cl,srt ,, 6.6otl2 rv,.ils're'M9 *ttata9 ht)l ., =*,More hz"v^ A lo'ls ?oi*) to hne 6+ Jerytk s'042 (eee fuudy nlro becoY+eo I o' 56x5o) = AgtL B (5r ?o'*) *wt tla- gl"qr[)' Urrt 4 A Sedea J 'y1*a )Qad ) fl* kevg iYrac t"**i sS'tovt ,bne t+ Sot: z More ['rau 'C' f t'g ?o serreo "'l)ne '+ /t*1 t-k Lo' 0D'? *o"<s2) S,,+tY^ eL4 r+)'T1,e4 'l-6d ru^1 ^l"t Lr"gxso) =1oJL ASfL Hc^l oa u-e eAvl Ce l€+e iXwr< '9enett SracLL a el"Aot lel tta e Lq.t) u4l3 q = 0'"?Sq-q (3ee bQ.Couea , (. t r',torr^.Jti ry 9olt
  • 10. ,@ for Terr,*i*h"t N/r, o^ x{-,,j.xa Fo 4"i^sl"rr^a GorL Sot I 2 rvow )no* Sotz ) rular,< ,)_u1u ftfb ) fqor,<- cK t- 3w 6+ teYltt !-rr"e # tegfh $w o[ leql = o'3L2 WYl W eol I lor tl,,v. J "l*1 fhe cK lFoK 5o,/L .Loc1S . o?eq e4rb onL Q geryiu U*,8 tazT. Zf = to'izs,tt fu 2ry=o't4'Jo'+ {ro,^.t'n' lo'8' v*t! aA ryen (0',{ o6A- O'tsA) =o'l5eA hotv 'd +o 'c' v*'"1 q Een uc (o,s'o'qAc)2 r o'39q4 = 0'V692 4rowt 'A' W'a' v;vfl an r.fe c<V eL-u* sfub 14 7 Co'{ s2t o'or'tA) = i^ 'd Fo 'c' 'IYIA gc ? 'Lo'3gLl2' o'o*v o' 3LlL1 2 q e enut D *oal - [*., ^^J 4_t<<"*tA'4 ,0-t <e o,3A