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P lav, r
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- - 6(t).
Artho e,
- {
qrr dcl+r,breao/
. oe f rd,.e r tr
A:r,|.r.p/ei.
&rt.t'h f". a t,',-5
?,q.
f,lae
tt a o- ffev
re 'vr i ll er' cs
(r's)
U At - hcx,r. , er tot, hctarcteheoas.
L tl) = o
-- 6(t). + a, I' +,\' Y Y" lav, r P qrr Artho e, o{ - - PDF document
LIL ld|th 135 -- 6(t). + a, I' +,\' Y Y" lav, r P qrr Artho e, o{ dcl+r,breao/ r tr . oe f rd,.e (r's) A:r,|.r.p/ei. ?,q. f". a t,',-5 &rt.t'h tt a o- ffev f,lae cs re 'vr i ll er' , er tot, At - hcx,r. U L
LIL
ld|th
135
P lav, r
Y" + a, I' +,\' Y
Artho e,
qrr dcl+r,breao/
. oe f rd,.e r tr
A:r,|.r.p/ei.
&rt.t'h f". a t,',-5
?,q.
f,lae
tt a o- ffev
re 'vr i ll er' cs
(r's)
U At - hcx,r. , er tot, hctarcteheoas.
L tl) = o
*
relq ltr 'n
L(r), /" + en\ Y' +lttt I
brs'
For
cevf.'ru oqi
luv "i'0" r l, , lz
+{(
.i,ct clR
(y dlle,a.
: /r,,lr) -oA
hclats
t'* L le
I trrZr.,nl = ., trt,t , cr L (
lz) 4\ ' (c,t,
Pft\ (<,lt+crlr)l +
P"oot.
,.. )r.)" +
ttt (c,Y, 1
c, 1," + ct lr" +
+ c, ?tt)
e, Pft) , c2 ?kl v
^ lr)
f2,
I'
E
\
tgPgs' I(n = lt' + ?k\ lt + ?ttt y.
Let
l, ,lz
ro/t. cf
(()
L(l) = o
L(4) =
t?
so/t, f, ovr lheu
('t lfrl\^ Sy'e f, cu
(r)
't (2)
bf
Yft\ ' c, ltlrl + cL /.1t,
lptrt,
/5)
w|rtr.c' c,, C1 C $.,
lr'olo.ftov:
Th.
a'l
cf
CraPeCtSr'olr
fo"
c-l(ec, ftre t?he..ra
ft r rov- he wro? e!eolat
|- o)
el a\,
r'J
P
lvre'
If
lcrt . t,nr *... f".rtt I
lhere ,r.t t Ift},
l, ftt
r.V lt
Suc tr /hr>f
r-l
I L ty,.) = 1.. I
lLrvt
f5
so /u f, rv
L(l?)
)p r*r
"1
Ilr"
g? u. olc far l,arraJ aoe€lLcta ",ts
n ? tt co/ fo f,-J s.lt. \o\r-toL.cldtto'd aFJ
tt zeer.rt ('h ?uejlrvit ttre s.lcf..'" Yp ,€ f{.e vro'r- her-.o ?c'i.'d.,.r et .
L (lPl
t
{"r pcr A c'rlrr- ga.{rae l,r h. F.
{
&l
(11
Si\4i,^J/
al
th rv'
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Or" c d y?t s
rcq .l
*e tr.1.
tk
t Lfh 6f , q.. 6lP
lo /lr ffo' r fo
€o,.,,ar
f,r."/ q?
tra
\).1t
s.(. fr'"v cf
(r r. ('t)
fe. Ir,*.'.* )0".
gfr) =
/cot
..(
(3)
t.t.t ,
luerl
cor /o.f) g,r (o-fJ K fq, "n) o
\- th r n'.-, f*-'+.'-* h.
te,
Itl lollout:
K
K
K
t, cor/o.tl t h. Sr"'/c-/J
e^t / h, .os /bfJ f h. S.'b /bf)
K
K
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r,
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t( f- e*t
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(1'Jets) ( lt nif jruPl
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t f aiy 1u e5! \. ".o it!'aori al.
the
ahou 1 P
thr
ts?$
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(r)
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fe S), I
tr,,' , h*.
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L (y)
fJ
S,.c
lo fe'.,r' rh i co '"r f,,:,.
(6)
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t qhero./
I
It lh* t
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\
&=r3
so(.'
II
fL(y\.I"-zv'-vlI
L__ ____________J
l, f t.J S.1J, P(r): ra- !r -,/
F:
+
F,rJ *( 3r/vf,o-3
)" - s r' - 1 / --
r,f
t..
l- *l
[{{t) -- 3e I
Itq) -".1
s\)S i'
s,.'1.' lLtun)+ol,
l,rqtl ,
c!5
To lo (e
6ue $
Jo wot
v" 4t ly
t{i
f- ft. olc ce lp
0,, r ltttol= e I
2t
(hc -rh,'
5
{R - 6l. - q k _6 h :
Lt
"t
thc
the lf ird r
t or. rrorr- hobof etPctJ et. .'.!
ytr I
a, eqt , ,a e-t e2t
(
giFF/e.'
the
1f
e
YU
trl;
ft e
L"*" j e
f, h.r. f a'{
t1
the fob te ,
fl..r ?'/CrJ
/r.
the
e?
fo,
| 4t I
{)e-- h e I
llow evgr' , lhis ,.rcri
r".f,: /, er
wC
''"r'o"h'ly
*tae .iu cJJ
e" I
rrn = ct
e
Ft eqt
t(
.lt
I../r"Juco
qh t e 1k e4t
tL k t elt'
L ( yF)
h
s'3
|(
s5
c
h
Ijr'r
Yo"at
t1 l< e1' +
. 1 ,lt
hr I e
4t
=S€
h+ {hr) - t
l(il. trshd) -
fft*v,t)-(r*rztJ
(r s-r1-{) f
rtl
So.'
+1. t
I/t) -- ., eqt + c, e
..(
f(.rv.r> /P
sr(r
rvr e
The
lp
thP t ent.o-( 3)'- ?) =
2 stn /r)
Fi".t
t"-
ioft. fc
th? ho'^'o 1e rrfo"r dl ,
f* to /e
( rYr
Fhc t
? 'rf $
lor
t(|il to.
CJ
Cho. k ,. acwpef
Ia' rt t --
P,'
Sib /f)
lL e-t (t)
lo"/f) '
Yt lt\ ,
ct
a.
lc1 Sib ff).
Y?
L (lr)
(- n, cor (tt
ftl )
1fl + A' co5 111 )
e, S;\. ftt)
Rr cos /t\ +
.t(
+ (- h,r + 5 hl
)
<as l.t,
Z S.\ (t)
\-
!. r /p!|
(- r h, -1h1)
ccs/r) r (sn, '5 h")
S.'.ld
{
hr = -! h1 ,
\
I
t-
/-\ ) -5
\ B./
)*"'
9r
5
t(a
llr -- 2
6 heo-9
!{
h-L-- -
It
Yp /t) . I I cas /f)
.r.
t7
5 ,sLw /rl l
al
+I f]
e4 t
Is
v C* e'
l
g Srt /t, .J
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Fr*a p /4 Sc( r
wa
We
P,.-J the y"
Y(f | --
/r)
+YP
e|'e .
h,
Yll
cl
|.t
elt
{
I
j
i abe.+/ Y: 3 c"l s6/. "9 r a Srr.i /rJ y'r/ru Ll
ft,
lr" lr)
r ., ez'
.1.f . tcl.
fo c,'^y'
l&*f .
ft,.rt
S.'vr /fl ,
.ot (*,
So.'
Itt t .
Fr^-nt3l
FOr
luPl! I
F,rr
luPlt
lq,et! ..
+cs
3 .al t?)
L
5 s.wr /rl i
'J
cr€
+i; .
/" -3 /'-{y =
.t stv tt)
bft): LR, s(.,,/rt + \
colltJ I tt *.
\'t - rYt -./l: 3 fr e't
\ l'
3f, sd\,/rJ lrttt --
rl
f + n- t' I e
(,.. * 'n,
I.ltf -- (r + n, t) ( hl sib /r) t-\t44,