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Original Title:
Algebra 1 © 2010
By:

Dr. John A. Ca rte r, PhD.

Dr. Gilbert J. Cuevas, Ph.D.

Dr. Roger Day, Ph.D., NBCT

Dr. Carol Malloy, Ph.D.

Dr. Berchie Holliday, Ed.D.

Beatrice Luchin

Dinah Zike

CONSULTANTS
Mathematical Content
Prof. Viken Hovsepian
Prof. Grant A. Fraser
Prof. Arthur K. Wayman
Gifted and Talented
Shelbi K. Cole
College Readiness
Robert Lee Kimball, Jr.
Graphing Calculator
Ruth M. Casey
Jerry Cummins
Mathematical Fluency
Robert M. Capraro
Pre-AP
Dixie Ross
Reading and Writing
ReLeah Gossett Lent
Lynn 1. Havens
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[A + (0 -)] + [ (U""i - ) + U"" r' ] + TU""i + [ r U""'~ + r U"" J=
r + U"'" - TU"'" ~ + r U""'r' =
~i..Jl~p l
o _ U""'r' + TU""" + r U"'"
A +U""'i- TU""'i + rU""'~ (+)
r + U"" - TU""'i + r U""r'
~~~
(r' - rr' -L!"I) +(t + L!"r'_TL!" 0) (l
( _ tU""'~ -U""' 'I' +r U""'n - rv+U""'r' _ tU""') ( '7
,-,~ I wl~ ~I::.S .;"....),
. ~~ 1 ·.)~ 4
_,-,...,.. w l~ ~i •
.,-,,,,,,, wl~ L~i •

'~~J ·if~ ·~ ) ....,,~ djL;,~ ~ .:l-U:. C~ ~ ~i }jj 1.).J~t ~t-# t..Ja
.,~ U>~ djL;,k .:lJ.l>- o"..;s C~ ~
.U>.:lJ .l>- .:.r .l>- J5 <.Y'_~ 0 (.:lJ.l>- o? ~ 1.;:k:J 1.:l~)I ~ I~I
.1.J.J.>J I ul~ r~
(~ 4.- y+ Y~Y") - (A- r ~t+ ~y) :~~ ~.."I
~"i '~.# 1
.j U> 1.:. : djL;,L, ~o. - 'I' + r ~i ~~ •. C.T'

(~o. - 'I' + r ~i) - (A - r ~ t + ~Y)

UJo,+Y- Y:.lr -) r<.~o,_y+r:.lr)~..,......,:JI~1 (~o. + 'I' - r ~i-) + (A - .,.~t + ~Y) =

.~L:.:..JI 'J.wI ~ [('1' -) + (A-)] +C ~i-) + r ~t + [~o. + ~Y]=

~iY '~.# 1
.~I .;:k:J djL;,~. c.}>J ~.:l~ ~~ .:lJ..l:>JI";.J
A- ~Y + r ~. _ r ~t A _ ~Y + r ~. + r ~ t
(+ ) (- )
• _ ~ " + r ~i _ i ~ t
• - ~ + r ~i _ r ~t = (~o. - 'I' + r ~i ) - (A - r ~t + ~y ) : 0~1
~ ~ ,~! ~
"J..t>-.~<.J"~I )
ci4:!..t>- J5 ,-:"....-"'1
.,-,..wI
4.,-i,>lI~~1
, J..wl .;r-s .:> .b-'1
, ~~I.J~~ L:.,::S Jj
~L:,.JI , j ..wl .:>tJ
J-" ~ ~'r>- --,.3)
. ~
(Y - " + ,.'r-) - (1 - u-1+ 'U-Y -'U- 1) (iY .J
c...,Y +'if - V)- ('if'+ ' - ifA) ~
If>~.J .)J.J.>JI u l~ ~
~ ~)I.J"'-.ra:JI.:.>)lT .:lJs..." ' J 4J~1 ~1.J+l1.:l..l.J;. .~.:l10l:bUI jL.; , ~l;lJ~! ~
YA +.; t = ~ .vrv +.;y=J : "::'A~..".rSJl ~ ~ k"; J ~-;31
' ~k .J'~I •.:."'J'Tj ui;1.nJ1(.;A(0 ) ~1.:.>YI ~ ;;,bL..o ~I (I .r."..",.:Ji-:.>'IT-:.>~ -:.>,b j l
..t>-IJ its. .j I;'>Y.~)I.~ , J .:lJ..l:>J';? ~
.,L....i t3';J ,!.t r ~
~)1 J-.."..a.:J1 .:.>)IT..:...~ + 4J.".....,....JI ......i;1.J+l1..:...~ = ~I ..:...~ u15t.,0 .y''!..}>- -:.>t....,.,..J
~~~c::its.
.r+.'..ll .;1J",~I -:.>'l"'l
lO+d"=
'I' 0 + ..; , , = 0 :~ ".b..uJ

.h.:... "''''0='1'0+'=
·k i . J~.J f-.J~ ..;..,)fTj ~~ ~L:. n 0 ~ ~ ~~ UJ
~l.>A~
u)fTj .u~ 1 U;~ u~ ~ (-.j) J.riJ1~ .u.:lL...... ~l.:5J 4A:U1u L.~I ~I ( r'
.Ik '" t J "-!~I u~ J J.riJ~ j7-=.U .u.:lL....J1~I ~ ~k f-.ra=J1
: -t w '1< -.j ..l.> i'-/. u ~ rs
(a. + 'if 'I" -» (t - 'if "I) ( '
:~~ .)l4.;.--j..w~I J')l>. 0j)~ Lr.jJ (!J) ,-;-,)h1.l J5JI .:l...wl t!~ ~ ( V r Jl:...eI
~..J .o.Jl::-.l ~.:l ~I.)l)L; l5?r ....~lj ,o;LbJ~ -.j ~I .)l )L; ""~
j) L Lr.jJl (t} ,-;-,)hI.:l...lYj ~ J')l>. Ij) L Lr.jJl «» ,-;-,)h1.l-.j)f'J~ J5JI .:l...w u~
. J> t "1 r '-"- L u ly:...JI.:l...lY 0 ~ ,V + 0/= t.''I" + 0 t = ~ ~.:l~~ -.j ~
.oy:.QJ1o~ J.:l ~.)1 ~Y Lr...iJ (J) ,-;-,')I..bJI .:l...lY ~ -;1.u.:l~1 ~ (i
~J> 't r'r' r'-"- J .:l ~.) 1 ..w:-y:. 01 ~~QL1 r.5 (~
~J> t i "lr'-"-Jj)~0i~~Ql1r.5(~
: ·t w 1< -.j ..l.> i T.' ~"ill..J1
'-/- u~ rs
('I"- _r't +..r'n+(o+..r') ( /
( if t + ..r'i ) - ( , +..r' 'I" - if'l") (, ( , - t t.)+ ( t.+ t t.) (,.

r - '"if ( '";J
r Jw
Y"""I];';':!..,.,.,J J..A..o
r LCD .)W:J I j~
~ L.... .:is-L. l " "
1:'1;51)1 <:..... r . ;.v JL......:...
.. ~y- ul.<- L. A v' ulji Uw
"f+if"f (~
"f + if ( ~
'if :jy)~ ~L:.. ~ .)~i ~~ :/ ~ ~ ( '1' t
~~J;J .)1~'J 1 o...i.", ~ ... .. l +if' '+if
r v , __ ,.>11) : ,;4 ~ .J~ J5 ~
euo)( Ot!J A-) cr, (r.) l_) C.» r.) cr·
r U
(~- )J)~+UJJ~)-(UJJ - ' UJJ ~ )
(~- 'UJJ~+UJJ~- )+ (UJJ - 'UJJ ~)=
~ - UJJ'i.-' UJJo=
I~ - -, .....J-'l'i :';4 ~ .)"..I.;:-.~ J5 ~J') X:-,,1
l it +,.../ i '"",;-,i"f + l ( '1' ' J 1+ '".) ('1' V lo ( '1"'1
........lp J..,1 ~.r ~ ... ' ;;~ ~ ~I ('1'0
~O..A:>- J ("f + if r )
6..hl..w
(~- 'UJJ~+UJJ~) - (UJJ - 'UJJ ~ )
(~..- 'UJJ~-UJJ~- ) + (UJJ - 'UJJ ~ ) =
~ - UJJ'i.-'UJJ -=
.A+ifV-'"if l ~J.J..i..lI.)J..A:>-';.r.?01 . A.>~ 4JL.... ( n
, « ~I~l ~ .)J ...l>J1u1.r.? c.»)) :~11 oJ~ 1~L..a.... 1L:,. X:-) '.>J.J-P ( '1' '1'
. ~'JJ ~i) ~)JI J~~ kp-.,.b:;J ')J ..A:>- ';.r.? & U-? u....o l ~l ( '1' r
~bLJJ ~ ~p -iJ+.-'11c/' ~)J L?iJ
~ + ~ o
t
..:.....;l5 4 1.9 .( l -
r
if"f+ ifr) (if rifn:~L;ljLbLJ.r~.J"J5~ 1 ~1 ~1 ( '1' .
.. ~l::- 1.;.J ~~ ~l::- l
OJL;.-J ~ ~ J~)~ LCD j lJ.::J1o~i .J" O..A:>-J if ~.)i u L;,,;SJl ~ ~ J~ •.::.~
... . , . ... t
A' • J ~ ~ if ~ 'ifVOY' Ij Lil; if ~.J" (~) .)J' ' 0' • + ifl H A+ if" t l
.O.J.>.J if ~ .T-" .r.)J ..A:>- 0.r.? 0 ' (i
~1)...a:;VO ' ~.T-" ...( '";J

,~~)I 0'..).~~ ~l>- ~1.9 ~~ ~~.; ~~ ~.T
..;L:...i r ~ ~f JL:.. ~)~ ~ 4J)o~.f. l.J~
u"'l>- .)~ ~ ~WI...?) ~Lo .u~J
,4J)O -i~W I ...?f ~~ ~~) u:).~~
.(r + ...?r)...?
J~~ ' J..9.J.> 3# ~ .J.> 3~..9 '-:1~
o~ -i..l>- 0.1:>-J ~~ ~~ .)~)' L'...jyJI ~l>
..)J ..l>
J.J~ ;;~ ~ ~ ;;..l.::>.J '":-'~
.( t + v" - T v"V)T v"r- :~~~J
I 4 _~~ 1 U:!~t
( t + o" - Tv"vrv"r
(OC v"r-) + (v")C v"r-) - Cv"v) Tv"r- =
C.r '1'-) + (rv"r-) - ! v"'f - =
.4.:-i.,JI U:!~ I
i + cr - Tv"v
Tv" r - (X)~j'pi "=-'.>.
,-;,.,...;'
~ve~
(V - I'f + Tli- r i o (I '
.('1" + TJ'f) O- (Jo + TJ t-)J 'f ~
('f ' + TJ 'f)O - (Jo + TJi-)J'f
('f ' )(0 -) + (TJ'f)(0-) + (JC)(J'f) + (TJi -)(J'f) =
, .. _ TJ' • _ TJ' . + r JA- =
,.. - CJ' . - TJ' .) + r JA- =
, •• _ r JA- =
,
. .J.>...l l ':'-I.;;>-''-:'~ ':''''''J~
~ ~ ~-I.;;>-, ,-:,~i •
.~-,..L> ~~
~':'':i~~J>i •
':'1-1.;;>-' '-:'~ J-l>
.~-,..L> ':' I~ ~ ..L>

~;.,..~
(i- V"'" + ~ V""Y) V"" - (i -V""H~V""o)i (i Y
(r'" i + ) <f) <f" - C}<fo + 0 ../ <f' ' ) L.> ' 0 ( I.;J Y
~ IJ if y L. J;-..l..:..Y ')JJ.>- o..r.s -iJ.>- 0..1.:>-J ~J ';" ~L; .)~)I e::j p l ~l>- J ~I ~--,
. 0WI
LJt
1+ t

(
I t + t '
I ;)~I i;!t
·t 4>-~)J i +t" ~, +t ~..u-u 'i'.,b""";.r.:... ~ ~L. .)~l Jlj-J~
I ;;~I J>
.......;~I ~ ~L. u~ 4J.)L... 0
.......;~I~t~) =t~ i+t" = ~J ~ ' +t= ,J~
.....;pl~:<>L.... (~J + ,J) t+= i
t +C =yJ • , +t..=IJ t« +tr)+ (' +t>Jer-

=
r' . I t I
0
0
0
0
0
Q
0 0
0
o
o
•o
o
0
0
0
(0
•o
o
0
o(.)
0
0
0
(0
0
•o
0
(.)
o
0
0
0
(0
0
o
o
0
•(.)
0
0
o(0
0
(.)
o
0
(.)
(.)
(0
0
0
(0
i' 'i =
~~~
JJ~I ~T.rU ~L.'1 ;;~I) if l:?~1 ~.r:-JI ~ ',,:-,'.)-" ( r'
..c:-Jl.; ~? ' .v o ......;~J ~ t~) L.>l5 bl·......;.r.:... ~ js::..:.
.~Tr-U :i.:..L.! 1~)I if -?~I ~~ ~L.
~1,:;.r IJ ~1
01)",.:>- '1I~'J;
" .JoY,-:,)hJ ~W
~I..r<JIJ ~I<?~
~-J "~L......:... ~
~ •.wl Jj 4:J1cr)1
..Sl:J1 i...l>- ~ :.lUI
.JyWJi ~ Lr'
"'-:'.,..LhJ1

uL,.,L,... ~ u'i,)l.....A J-Je::jy:JI 4..:-..ol>- J~ I ~ •.:l.J...l.> 3.# ~ ':''J.:lW J>.
' ,)J ..I.>- o~..I.>- 0..l:>-J ,-;,.rJ:'
~.>b ~ ~.J..I.> ul~ ~ u":/~Lu
o· + ( t - h )iy + ( , + i OI = A+ (i + l n ir + (y - lo )iY :4,hU I J>
~)II".bL.-.J1 o · + (i - 11)1'1' + (, + 101 = A+ (1 + 1'I')lr + ( 'I' - Io )i'l'
~..i'pI.....,t> o . + IA- r" 'I' + I + rli = A+" A+ rh + Ii _ r" •
' ~L.:.:...J .J.l.>JI ~1 o . + iv- r" ' = A+" i + r" ,
;;;~"j.S :.r 'i ," (,}>I o· + IV- = A + " i

.:r.i~1"j.S Jliv..........i o · =A+ in

:-.;. ~1"j.S J' IIc.»1 i'l' = i'l' ,

r .Js .:r.i.,.hJI "j.S r-iI '1' = 1
I ~
o · + (i - h)1'l' + ( ' + 101 = A+ ( 1 + Inlr + ('I' - lo)1'l'
o · + U - (n, ](n'l' + [ , + (Y)i H ~ A+ [ 1 + (n 'l'](nr + [ 'I' - (no ](n'l'
h.:... o ' +(A)i +(')'I' ~A +( ')I +(A)i
'":"'.,.....;' 0 • + n + 'A ; A+ 1 • + n
~I .; , • • ~ , • •
....,.~ I.J..I.>J I~
O.i~~ 0.) I:'!
'.J..I>JIIf J.;s:J1 t?~
..!.JJ:' .)>- !l.Js.L.....: ..w
..l>-i Jy- o)b t!'J
.J.l.>J1 0~~ .r"l:s
Jy- J,h:-.-J ~L:.:..JI
c:.J.:..,.J 'L>.r'-i.u-~
.u-~ .r"l:s-Jy
.1..i...""'.J ,;,:)0
:,./4k. Js" J '-;'~I ~L; ~j l
(i -l.J'I' +.>r-)LJO ( '
:-J4~o).~J5 ~ YJie
( - LJr )i - (i + LJ , 0 + r l.J OLJ ( 0
4-..0f J ,uL,.,Yo 0.)1djw>)' ~ '4-..0f ~ L?J~":';'L.;. t.l.Q;) .~x:- IjlA.t ..4..>-1LS"':"':" ( A
.ul..<>.r.J~ ~~I t.l.Q;) X:-JI .v Yo r ·
.: ~'11 u'i.)U1.J4 'is' j.>.

(~'I' - 'I'-)v = (~'I' - , ,) 1- ( l

(v + 1)1 + (0 - 1)1= ro + (1- 1)1+ (r + 1)1 ( "

:-i~ koJ5 ~ ,,:-,~1 ~L; ~Ji
( H' ( , + ":-' ' " - ~ ":-')":-' ( Y
:-i~ ~ 0.J~ J5 ~
(r-Ll""")..r"+( o.+Ll""" +'r"0 )r - ( i
~1 4J..u-L; J):> ...j~ ~ ~ ~..L.. ~Ij •.JJ-Lou (n
.) :...i , . ~ 4-PLA;.;I+0-" jji l;1JI 4J..u-L;j . 4-PLA;.;I~
.~I)I o..u, ;;"",~ )~)' 0.J~ ~I (1
_ e '"
: ~~ I ..:,.,~ )UI 0-" ':JS J>
+ (" - .:.>v).:.> =.:.> + ( a. -':'>0 + ~ .:.»v ( n
:-i~ ~ O.J~ J5 ~
("-,,:-,~ .:.>o. + ~,,:-,r·) ~,,:-, .:.>f (n
,-"", Y, O ~ I~~ ~ ~ l:?)L; 0'- 1 ~;i .......,;.J (Y4
.~ ~ ~
. " II~;;""'~ ~ o ~-.....:S(i~ . u.J· .
, + '-'"
YJ~
r Jli.
~)'1I ?I r- ~ rJ..>.:.....;
•~ ''? .J...p ) e;i..ll ":,,.}La..
"-::-"f 0:.,...:. J yi ''''Y'-'
..lo..:"o,;J' ~~ GJ..,~
..}>- ,<...01.:)1oh J o}.•...JI
, c.r...LJ1 ..:.-lS? ~ cr-l:.::JI
ey.j ~~UI .lS~J ,~IJ
' 0.?0 o~1

.')J..A>- 0..,;:5 ,j ..A>- o~J '"7'.r.b ~L.; ~j .) 4.lW Io..i.A,j ~ I ;),).J.LiA u~ ;I (r·
~ ,u~j..ul ~ ')J..A>- ul..,;:5 0~J u~j..ul ~..A>- ul~J 0 ).;" 0 1 I ~.9~ (1
~j.) .)~J ' .)J.bJ1ul..,;:5 ,j .bJlul~J '"7'.r.bIJ ' .)J..A>- o..,;:5J ..A>- o~J J5 ~j .) .)..A>
:.;'1 rJl ~ JJ~,j ~L:; ~ If!J ''"7'.r'J1~L.;
if ..A>- o~J '"7'.r.b ~L.; ~j .) L. .')J..A>- 0..,;:5 ,j..A>- o~J '"7'.r.b ~L.; ~j .) ~ I ~(":J
~'"7' ~j ..ulif .)J ..A>- "0..,;:5 ,j ,! ~j ..ul
I ~ (r
05 I,)lJ~~~'f +.r", =~(r+<..J"") :o}~~I~<..J""~~~Y J-'" I ~~ (rY
.~~lPJ .~ o..i.A ~}i ,~i5
~L.; ~J!J' ~ ~ Jk....:...., ~ ')J..A>- o..,;:5J..A>- o~J 0 I A-.,:w.. -aJL.... (rr
·4 .r.b
~J ~ ' <..J""r - U"" '1' = '"7' 'U""Y +<..J"" 0 = ...:....;5 ,)1 (ri
'-' +!
U""Q,-<..J""'f (1
<..J""i +U""r( ":J
~05 I')~ . ~j-:-"'~0 ,t~ ,u-:').,,~07. (r o
uj~1 t.?~ .~"-0 '1' • J lh:.)IJ '~"-0 A' _~I
~~iJ~~I~~t.?iJ~lj.w~'1
(0+,)'f"(~ 0 'f ' +, A' (1
0,Q,1" (.) 0A' +,'1" (":J
(I - , ....; jJ l ) :-;'4 ~ Js'~,; ~J
(Y +~O-(i+~ r-' ) (rA (1 - ~ t) + ( - t.'f + ~ t.n (rY
(t Y • (t

.( t + IJ") (r' + IJ") <it.; ,)6:--!)' ~10G~ ~I
.-;L:JI ~I-.} W' ~I JW')I ~~1 0l;~ (~I ~ ~oL;.:>i J./~J ~I-.} W' i + <.Y' .r + <.Y' :~ 1 t.?..u..:.:>~
, :u~ ''I' ~<.Y' 0l;~ V ~ T<.Y' o..c.-Ij :u~ ~ ~ t.?~

, 'I' + <.Y'V +T<.Y' t.?jL; J:.h:-.-ll d.,-L. .:>~ ~j

, 'I' + <.Y'v +T<.Y' =U + <.Y' ) (r' + <.Y') .:>~!

.(0 -IJ") ('I' -IJ") <it.; ,)6:--!)' ~10l;~ ~
0- <.Y' ~ 'I' - <.Y' ~ t.?..u..:.:>~ I ;;~1
H--t+++--------'--+-
1-1-1·1-1
<.r..§w. i~ ~ 0l;~ ~ ~
.JLWI ul5:.:Jl -.} e.-.b,;r W' ~I
,
,
T
.J;.k=-....._11 ~ , - 0l;~ , • ), , 0l;~ , • J..- - ' jA ,)~ I 'I' ;;~I
[ .rill ')1.1liJ , v--.} v- '-:""r" ~L; r ' :u~ J 5 d.,-L. ol~
.J:.h:-.-ll ~ , 0l;~ ,. ~
, 0 Lilk: , • ~<.Y'- 0l;lk: V ~ T<.Y' o..c.-lj:Ulk: ~ ~I t.?~
., . + <.Y'V - T<.Y' ~Id.,-L.':>~
, • + <.Y'V - T<.Y' = (0 - <.Y') ('I' -<.Y') ':>~ liJ

.(yo + V""y ) ( t - V"") ~tj .)~)f ~l..::...u~ ~
, , ~l i.,?~ .).b- I
~ .YO + V""Y , i - V""
:;~ I
i~ ~I "::"'u~~

,.
,
,-
Y" W" ~I Lr-~
.J')~ ~1-i~.Y'
,- ri , ..::...u~1 i.,?i.) .~ V"" - riV""~I ..::...u~ i.,?i.).b- ," :;~l
.,- -i V"" ,--;-,.rP J-.ol:.. c..I" V"" - ;;j~1 . ~I ~ ~
-.;~ J.h- .11 ~I . v- -i ' ,--;-,.rP J-.ol:.. c..I" ,- ;;j~I.)
. ' -;;j~ ,y.) V"" ..::...j ~ 0 )1,;.) ,V"" - ..::...j ~
,~..,s ..;JI .).)..wl 0J..;:5 ~ ..::...j~1 0 ; ~i .r :;~l
'V"" ..::...ti~, J' ~~.;..o[.1.)) yo L>i .k>-':1.)
..::...j ~ 0.) , r V"" L>l;j~ ~Y- ~ .V"" - ..::...j~ ' .)
L>~l,'-;;j~ H .)'V""
. ,y - V""0 - r V""y ==(, + V""n (i - V"")
11.1~-:t l l."': . -:t t
~ .Jv::---
:-l~ L,.., Js'-:-'~ ~tj .)~)f ~I ..::...j~ ~1
( y -V"")('-V"") (y (i +V"")(' +V"") ( '
.~I ..::...j~ Jk:.....~ ~l:d J' ~ ~tk:- ri ,--;-,1.)-'" '0 + r V"" == (0 + V"") (, + V"") ojl.:->JI ~ ( v
~I 1..Lo. ~ ~ P . ~I?i i JlI;'·~ (0 + V"")(i +V"")-!~ j.)~1 ~ J.:.: I~' ( "
.,--;-,.r<JI ~tj .)If.)f c;j ..,:]1~L,.:. J~I

~~4 ~~' ~...-b
"! ._:~ I i J 4aJ'
~l;. J~l,o
.C'j j'J1
~ ....... ;;~.j '-:'~ '::""".J~
. ~.j""", ;;~
....... ~~'-:'~ i .
C'j~1 <La:...-b J~l,o
. ~~ l,o
( t +I,,)""r) ( T -I,,)"") (~
l ~i,>1I ~~l
I,,)""r .) '":""rP
" - I,,)""
l + I,,)""r (X)
~
I,,)"" ' - I,,)""r
· l5:...:..II.ll..b::...... •L.A.JI· ~ I A • - : ' - ' ' ;J,L>Ju - ~ if ~ . Y ..
' ~0r-.J ,":",,'pi ~L..., J}:> Jv ~~ lAl~ ~~.J
~~ '":"".fS ~ ,)~ ";L.A.J ~ J}:> LJl5 b~
A ' + t) 'r" A ' ~j t.~1 J}:> L.?.J~
",:J! ~L,a.., ~I J}:>~ L5.J~ ~I u.i:>f .J
~ .~~I ~L.JI ~~)f.J ' ~V + t.+.J1'r" rv
-L; ~l><..>)1 ~ d ll , •L.A.J Ir::: .-, C • cr"

,( " V + t.-r ) ( A ' + c}
~t~1>
:~4 ~ js- J,":",,~I e'L;~Ji
( ,, +~)(r + l,,)"" Y) ( I
~i.>1I~~ 1
~.) '":""rPl
T' +.r: Y
~r + ~ ~" = (r + .rY)~
1 ~"J I ~~ t
( 0 + I,,)"" )r- +( 0 + 1,,)"")..r T = ( 0 + 1,,)"") ( ~ + I,,)""T )
0 + I,,)""r + ..r' • + ~ I,,)"" T =
0 +,J" r +~ I,,)""" =
l .) ,":""...,..,;,1
" - I,,)""
l + I,,)""r (X)
~
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~I ~..u)1~WI c....W d.>-L. -.:....;IS 1~1 .4..u-U..l.
~•.dA;) W , Tr if 0 oL;.)!
(t 0
, ~ ~
:.)3..wO? Jl"LY ~';4 k.o <...?'
~t.t H - t.1 - r t."
(t t
r . (~ r
r
0
,
("';J
(1
"+t.(~
y " y"
~ 0 • , Ir· (t '

"-:~ 0~ ,~I U Ulk: j-" 0~ J:k.:-- ~L. ,)J.A>JI o.?..:..f. I~~ ',)J.A>J ~~ U~ ~ UUlk: J~I ~
.~ ~U .d- 0~ ,)j.A>J1~~ 0~ ',)j.A>J1~~ ~ U~ l.r.~ 0K.)'~ ~ ~ 1~1 ..i' ,)j.A>JI o.r.sJ ~>. 0~
r + <.r't + Ycr :•.J~I ~ ~I u~~ ~I
.~I ulj~ r + .rZ +Y.r ~ , :;~I
W" , .)~ ulj~ ";.Jj ''-:"'ri:JI ~.,1 ~lj.) Ycr 4.;Lk) ~ , Y :;~I
~ ~~ 'JJi,)~ r .:>i k: .~.:>.J5:.:l '.JJ~ ~.)
.r .) , if' ,•..l>-IJ ~~ u~ -=..,)UI uljLk) ~;
1" . "'" _
~
A
_ _
~
_
ctJ~.:>~ '<.r' ulj~ ~I L.r..~ ~ I ,. :;~I
r +<.r'.j;,J ' , +<.r'~I uP~
."'" .(r +<.r') n +<.r' ) == r + .rZ +Yo: :':» 1

Y
~ +'-'"'~ + '-'"' I;;JL;WI~
, Y + <.r'A +Y.r :•.J~I ~ ~I u~~ ~I
Y •
.~ ulj~ ,y + <.r'A + cr ~ , :;~I
";.JJ ''-:"'ri:JI~.,1 ~Jlj.) Ycr 4.;~ ~ , Y :;~I
,zx r ==, y.:>i k:J .~.:>.J5::l ' .)~I ulj~
~I J W"l JJl>-J ,z 3r =,)~i ~ ,oL.:.;1 JJ~
~L.:..", .:>i k-'1- '<.r' ulj~ J~~ ~ iWI
. ~Wl ulj~
,."'" 'u~1 JSi ~ " 3Yo.)~i ~ , .)~I u~~";.J ,,.:;~I
L.r..~ «r: ulj~ ~ ...:,. 1.....- ,I~.:>~ ~W o.M..)J
1 +<.r' .j;'J' Y+<.r' ~I uP~ ':>~J .~I
Y • "'"
.(1 + <.r') (Y + <.r') = H + o"A +r o" .:>~1

T - I _t . I . I ~-:
~ +4>'" ~ - jj'J I ~J ~ I ~
T •
"' + V"'0 - V'" ~ " :;~I
.,-:-,~ 4.>-) o.:jlj J TV'" ~L.h: cP I 'f :;~I
r J" o.)~I~ 0j5::J u19~10.Jj
0~ .V"'- u19Lk.:: ~,J:~ ~1 , ,, :;~I
i-V'" .Jybs ," - V'" "-"f' ~i:
(i- V"') 0 - V"') = "' + V"'0 - TV'" 0,)1
T _ I _t . I . I ~-:
~ - 4>'" ~ - 4>'" I~J~1 ~
. 0 - V'" t - T..r' :o.)l:--JI ~ .r.o:J1 Utj~ ~I
o - V"' ~ _ TV'" ~ ,' :;~I
' '-:-'~ 4.>-) o.:jlj J TV'" ~L.h: cP , 'f :;~1
o.)~1 S~ 0j5::J - .)..wl u19L.h: 0.Jj
OJ
...;1 }jJj . ~ I J W V"'- u19~1 cP .r :;~I
.... ' . . ·1· ·w~
~ ~ Uj.) "'.J...r--+' C j .J <U < ••
L:;-jj ......:..oi ,4..lWI o.iA. J j ..)j..wl cp
+ '-'"
.V"'- ' V'" ~tj~ if ~.rW>
(0 - V"') ( + V"') = 0 - V"'~ _ TV'" 0~ 1..iJ

• =~ + '-"" ~ + Y'-"" 1 Ai _~_L:1...,.:at U~~ la.4Jt
~j~~Wf
cl::-- ~.J .); 'u~ J.:k.:--a ~ :i..::-~ 45.r.
.' i n 45.::-11& :i..::-L..,., ..:....;5 b! 'i " i .J.,b4.l.r:
n~l ..lJu w
4.r"" uw,';" ~.)...Y .)~! ~ ...lU I o~ J;-J
.(45.::-11.1'.:-"'-" ~) '" L?.J~ ¥ ~~"
0'~ 'r:'~ W:.;5 ~ I ~ + '"'"' "':" + l '"'"' J.:!.b.=i
J5 .)~ .)i > '0?~ c:jy:.ll d..4:» J~~ ~
J~~ .J .,-:->~I ~l:J S..~ ~.1:>- ~~
uL;;)l.; 0"" ~ c:yi J:.W ..wI 0'~ '-:->.r"" .h;
'.).J..wl
..,...,.;rJ4 ~j.,.:ll ~> X ,. + ....,....r + .rt + ~ ....,.... = U + ....,.... ) (, + ....,....)
~j'pi ~~ X + ....,....(r + t ) + ~ ....,.... =
..6..:.. +....,....v+r....,.... =
.4 .r"" ~~ r '" ~I I ..wl.J' i .J' ~.)..w ~ r v .h....JI.bJ Jot....... .)i b-'1
:,-:->..,.-aJ1J ~'l l o...YW b-'1
U x ' ) + """"' (' + 0 + ~ ....,.... = U + ....,....) (, + ....,....)
- i + """"' (i +",:)+ r....,.... = <'~ + """"')(i + """"')
( ) JI~)' I - i + ....,.... ( .+ r)+ ~ cr =
~
~+
·4 .r"" ~~ r ~II.bJI.J ,.) .:; i ~ r .h...}11..w1Jot........)i b-'1
.~ +cr '-:-> +~....,.... 0j y.aJ1 > .).J..wl ut.;)lj J::.W o...YWIo~ ~
.)'i ~ ~.)...Y ~) , ~ +....,.... '-:-> +~ ....,.... ojy.aJ1> ').J.1:>- ~)~ J::.W
ojy.aJI>~ +....,.... '-:-> +~ ....,.... ~I ~,~ 4.r-" ~~.J ''-:-> ¥~
.(.) +....,....) (i +....,....)
, ~I ~I
~ = .) i ''-:-> = .) + i ~ , (.)+....,....) (i +....,....) =~ +....,.... '-:-> +r....,....
• < r
A =i x".= i + " u'1 .U +....,....) (" +....,....) = A +....,.... ' + cr
,jyo..",J1
'Jl:.A
0) .":'1>.:.r=:JL.. .Ji ~yo u-:-LWI.)~ ~.J . ~yo .)~ L...l:.V ~ 0) .":')'1 ~ ~W.)~
. ,j ~ L.. ,j~ W ~ d.)L ~l5 )U ,,j 4-yo ,j)l"W~ ~yo '-:-> ~l5 )~ .,-:->
t:!j~ I ~.--b Jw:u..~
. ~~~
~~It2J
~ '3..l> ~~ Jb..i •
:;;.)~I
~ .:.::r,~ 1 J>'I •
: ;;.)~ I

.y. + LJ""'' +.r ·: J!>
4 ~ ~yo~l.v -'~l ~ ui. r • =....::-' '= : ~ ' -'.J-wI:.});.j LJ~yo~ '''''::- LJi ~
.'4 ~ tJ-.ill1~WI ~) .J , "f ' -,..wl uL.ly WL; LJ,}5 . "f • 4 .rb ~L;.J , ,
i~WI......:S1 ( ' +LJ""')(r+(,,)'"') ="f' +LJ""'' + YLJ"'"
b,j • ~ = r ( " + LJ""')( t + LJ""') =
. ~'lojL;.>JI ~ ~~WI ..:-,~ ~I ·..i.", if~l~ I ~
..,...,.?~ t!j.,:]1~» "f • + .r ~ + .r0 + Yo" = (0 + (,,)'"')( ~ + (,,)'"')

,L V "f ' + (,,)'"' ' + Y(,,)'"' =

~&-~
:~~I -'J.l>J1 c.j.2 if -% j>
"fi + -'" + Y-, 0'
':;';;"":;J':""'-'
')J-I;>.4.;)1; u~ .J,;,y
,L.:.JJJ..,,~ u~
~, <.,J~ Lr'~ J
U...a; .r- ~J~
. ~ <:~)i I J!
WL; ~ !-wl ~~ ~.rb.y.oj.;N L. ~I ').J-wl :.}); .j ~YO ""::-.J ,:)L.. ~ c,.;lS 1:'1
. ~ Jo lyJ l
Y . '
,y +LJ""'A - LJ""' .J!>
J-olyJl ~ l".J,;,y
~L.. ~l.v -'~l ~ l.i , "f =....::- ,A- =~ , -'J-wl :.}); .j :)L.. ~ .J , ~.r" >": LJi ~
~l:A~~
'"f 4.rb J.-.<>l>-.J A- ~~
l
A
v
- , y
.~WI ......:SI C + LJ"'")(r + (,,)'"') = '"f + (,,)'"'A - Ycr
·- =,j .T - = r ( i- LJ""')( Y-(,,)'"') =
( i - LJ""') ("1'- LJ""') =(.)"", '"f +(,,)'"'A - YLJ"'" =(.)"" :.J?-,UIj. I ~i "
I~ : :.})~LJ~ ,LJ~Lk.:.., ~I LJi ~ .~ -....:.~ I ~ ~l::-!
V .~ Oj~ ~ -'J-wlI /.10
I J
11, 1· "<- 3 "' 1.
' JO
"'"
uL.lyJl J8 ':1 oJ) J -';'
.»..WI ,)1.:..,.; .<s? ~I
:w TJl"..JI.j .)~I
</"b )U UJ, i - j Y
:.:r-LW;l.,.:.>-':I
~- j i
10

¥ ~ u~ LA~~ + '-"" "=' + T'-"" J.:!..b.=i o..wJ~I ¥I~
:~~ ~ ~J..l> O~ JS' Jb.
o.wl Lr-! QL-JI 0
.ol..t>-'YI .h>. ~ }-.aJIJ
0 -<J"''I'+r'' (1 · 1 0 I i.J~I ~ ~J
.0)....:.)11J L>~ L>~...lY L> Ji L>~ . ~ L... ~ L>i ~J 0- = ~ ,'I' = '-;-' o~ ~J~ ;";~ J
. ~Y' L>~ r,Si ~ ~ ,-:?.iJ1j.-WL;, ~Y' '-;-' L>i ~J I
~ ,~Y'?'11.., QL... C..,j J5 J ~W..l>1 L>~ L> ~ ,' 0- ~..wl j.-Iy if L;..,) ~I
. 'I' 4 ~ .:r-.illl ~W ...,lL,kl
0- ~..w j.-Iy
o :1"- 1.->.J~I .::)l..WI
i...$WI.....:S'1 ( + <J"')(r + <J"') = '0 - <J'" 'I' + y <J'"
O =~·l"- =i ( + <J'" )(r' - <J"') =
~?4 ~j...=JI~» , 0 -vr' -<J'" 0 +T<J'" = (0 +v) (r' -v) I J4:o.:i
V '0 <r: 'I' + Tv =
, A -<J"'V - y <J'" ( "='
,~L... '-;-' L>I ~.., .W"% u-J.., ,~L... L>..,I i L>~1, . A- =~ ,V- ='-;-' o~ ~J~ I ;";~ J
~
.LJL... L> C . ..s:J1~ I ~I ~ I.·WL;. .J-"1. lSJ . - .., IF
.,h;~ ,~Y' ? '1.., (.L... C..,j js J ~W ..l>i L>~ L>i ~ , A- j.-Iy if L;I..,) ~I
.v- 4 ~ .:r-.ill ~W...,ll
V A -,
v-
r' r'+ ,"
( + v)( r + v) = A - vV - Tv
'1 1,1_ ,-
...
( '-V)( 'I' +V) =
: ~t::AJ oJraJl ~ ~rJ' .:,.,~~~, ~l:5 ~ 1 ~ 4 U'J JlMJl J>
JL,..,.:;...., ~ 'J.:1>..:l~ oJraJl o~ ~ 0'hUI ~ r.?- Lr~J • *i , . =~ + V '-;-' + TV 1
'-:?yi..aJI '-;-'.rAJI ~l:>

J~ 4 'aJ.:lla.4o!I J.>
·rl ~. ~ ~J .rv =<J" i + Y<J" :;;,.b~ J>
~~I ~hL.....J1
:.r-i".wl ':JS :r YV C»I

",l,.lyJIJI Ji,>

l$}-ll,":",.,....aJ1 ~I.>
•.hL... JS }>
.~'JI ;;,.b~j l .) o.
'l' Y=_""+Y ....r'
'l'Y ~ ( ' _ )+ r ( ' _ )
v YV = o ~ - A
:j>.JI ~
- = A-LT"i+YLT" ( '";J t
'l'Y= <J"i + Y<J"
• = 'l' Y -LT" + ,...
• = (0. +LT") (i- LT")
• = 0. +LT" ) • = i -LT"
0.- = LT" i = LT"
.i.:r ~ LT" if v-'"Y. I ~
'l'Y= ...r" + YLT"
YV ~ (r ) +Y(i)
V 'I' Y = A + o.
~~~
~ ~J •.;~ W ;;,J.:,tA,., J5 J> J
v , =ti-Yt (It
-._~ ~~..Lo LJ""I)icJ ':>~l:i.>}~~ l ~
r +
---~ ---:
...:.Jl.pYo t :i.>}J1~ ,-?"wl ..r:J1 tA;) .:>l5' 1~1 · ..:.>~~)1
:i.>}J1:i.>L.j .;;".:1Yo 'l'-; 4--0f if 4..>}JI.)4 J.,b ~:r-J
~ .:i.>}JI..Y:'f ~J; '~r ;;,..pYo i i
.....iJoJS:r'i liL.>1
.r
-?~I "':'"~I ~I.>
1 = ( +v-"') v-'"
=v-'" + Yv-'"
• = 1 - v-"' + Yv-'"
• = ('1"1' - v-"')( 'I' A + v-"')
-==n - v-'" ) ' ='I'A + v-'"
, ,
..:.>l>-}JI ~ ~
.r 4--o1...G..:....)I ~~:Y I
':>U '0 ~w •...>-J
:i.>}JI~ v-'"jJI .:>15
.~}o •.rAJ r l...G..:....)l1
.)rJl .l.Ylr ~
rJtA.:l ~ ~~I
. yJl ~ly
~hL..... .JS' ...l>- '1"1' = v-'" 'I' A- = v-'"
:i.>L. -/'J ' ~r ~Yo = ( + 'I' '1') '1' 'I' = :i.>L~I':>~ ~Yo 'I' 'I' v-"'.rJ1':>15 1~1 I ~
V . ~)1W 4..>}J
_ _ _I

:~~ L-o ~J...>.~ JS' J1. T' , ~~I
n +<J""i +.r ('i· -,J'V - .r> ('1'
o · +i ,o -Y (t
i
:J;-JI ~.:r ~J -~~ L-o •.hlA.o JS' j;. t JIi.
·=l+L.>i -) (i '=l' -<J"'i-Y<J'" (0
-Jl~~ ~~ 1.lJ -.JL1)1I .:r.r.5i -.::...;l5 •.JraJIL.>i ~l-•.JraJ 1.JL11 ~ u ~I 1:;»- ) LJ.,t (" 0 JIi.
L.>l5 b~ . ~1 4-:>-L. ~ 4-:>-L. ~ L.>i Jy -~ )...LW4 4-..0f J o.JraJl J)o ~
~o~1o.JraJI I~W 'r-" '"I -,l ~l1 o.JraJl ~
:~~ L-o ~J...> •~ JS' J1.- T' - , ~~I
il +<J"'W +Y<J'" ('"
t JIi4
• =, l + <J"'V - Y<J'" ('"
:~~ L-o ~J...> •.r.!S JS' J1.
Y,-,io.-,-, h. +Yi ('1''' Y.J ' ''+ .J!.l " +Y!.l (n. .
'Y i " 0' ~;';"'L.J-......ofifl? lo.~IJ=k.:--JJ~;';"'l.:--~y-J)o~..i- 1 4> ~ ("~
.~;';"'L.~..blA.o0IJ d~..j~(i
...,bW I J> (":'
. 0.. - <J"" i +Y<J'" = i"':;"L. ,-?.lJ1 ~I ~ ~ o).;s- 01 1 4.....~ (T'.

, ~)I J-L~l t.?JL:'i La...:.>- ~l~» ,Jlj-J ..iA J ~ I ;;,.,~.:J~ ~., ( f '
: ..w-i? ,,;'l I JJ~ J~ '~J~ (i
~~ ,i L.r.;,..w~ .:.> 'i .:.>b..wl.h..;J- 0 l~tJtN (471
t
~'7" ;,..w~ .:.> 'i .:.>b..wl.h..;J- 0 I ~ (~
. -> +if '7" +~ ifi ;;j raJl J9 ,)J...l.>- ;;~ J;L:><.:.l .J~I ~ ~I..r.-l ......w, ~ ,.,I (
~
·~~p~~~~14t.; . -if"1 +~ if :;;}.~~ ~LaJJ;l>-ifjsJL.. 1 i.b>J1 ~1 ( f Y
~l.
~
(A+(j1l) (~-(j1l) = "'-(j1li+~(j1l (A-(j1l) (~+(j1l) ="'- (j1li+ "(j1l
~ ~.b~ W ,"1 y" .:.> ,)..wIJ " , ~ J.;JI.:.>l5 bl ( f II Jy1j.w~I;;).~.,JILa l ~~ (r v
~;;j ')LJ o~ ,j-.,.! ~jJ~I~J~
"1 =.:.> + '" (~ "1 = .:.> -n (i
r f ' 'r f . r '" 'r"·l.A>,)~ i.1~&;~..uJ'r ff ' 'r n ·l.A>~~dj.f~..ul>-~J- I ~ ( 0
( .v ....)o>lll · ~~L...::..g ~~ t.?i '-~ ':'>J')4J~ ~ ty':il~t.; 'r f · 'r n r '0, r " .

,. ' . . . ~ ~" .. ~ I
•=~ + UJ.I ~ + UJ.I t ~ 4 ..'.a..~~ t U;II~""'"
o.;~~ ,-:-,w 1 ~J..., J .;..,..y:-.;1 .;W ~
o) .:-.JI o..i..P, ~J .4.5rJI o-: e j) ~ r · + 0 '1'
Aj.r-" ~ ~.y- JJ;-.JI ~L.; "-)J1I4J-.IY ')l
.')J1 10rJlJ ~) .uj<:-J <.?.iJI":"';}1
• , :;t:. i ~~; ul.;l.;.Y ~ J)o V'.;..ul ..i..P, J ~
~ uL;~ L.r" 0~ J:k.:-~I I~ ';J~ ~I J
.r + V'0 + ....r" 'f )..l;. wJ ,(r + if 'I' ) ,( , + if) W
o..i..P, J.:W .)j..wl ~ ~ ~)o J~ ~ + V"
.0.;L;..J1
:o~WI ~ :;~II
.r + V' 0 + V' i + ~ V' 'f = r + V'0 + ~ V''f
.0 ¥~j I =r x 'I' 4.r'~ ,;cr-.)~~) . Y:;~I
I , ,v
o r , 'I'
. if'lyJ .)~)' ~ I ~ , "' :;~I
r + V' 0 + V' i + r if 'I' = r + if O+ ~ V''f
r + V'r + V' 'f + ~ if 'I' =
~,,:-WI J-lyJl .:."Ij ~J..t.>J1 ~ (r + V'r ) + (V' 'f + ~ V''') =
( , .~ .J) c.,.;-~ b J5" jL.. ( ' +V')r+( , +V')V' 'f =
( ' +V')(r+V' '') =
.( , + V')(r + V''') = r + V'0 + ~ V' 'f :0,)1
~ cr-.)~ ~ji '~+V' ,-:-,+ ~V' i 0.;y.aJI ~ .)j~ ;;,;~ u~ I ~I ~1
-> +V' '-:-' +~V' i ~ ~,~ i 4.r' ~,;J ''-:-' <.?JL.; ¥~ 0' i
..)j ..w ~ j>. ~ - -> + V' 0 + V' i + ~V' i o.;y.aJI ~
"" ~ ~
r- =j'' - =r I + V" -V"'- V'0= ,+V" i- V' 0

( 'I' - if)(r-) + ( 'I' - if)V'0 =

( 'I' - V')(r - V'0) =

~,.9..J.> ~~J.:!.b..:i.s.....>'
. ~ + "",,-:,+'"", D~I~
__ t •
~~~~
~
~00
4!J~I~
~ ~,.9..J.> ~~ Jh.-i •
:DJ y..:>l l
. ~ + (.)M "'":' + ..,...,i
~ ':'"1~l.sA J>.i •
:DJy..:>l 1

~~ , ~~ , _AS.
r'Lil .y~ 1
'.Jw .,.,sJI !.l.r:--JI
Y ,JWI '.r.s
. ~
y. ,,
". ::...wIJ-Iy
V
iY-
T T
£ + U'" .) + V"" r+ V""V = £ + V"" Y' + V""V
T
£ + V"" f A + V"'" + V""V =
(£ + V"" YA) + (V"'" + yV""V) =
( , + V"" V)£ + (' + V""V)V"" =
(' + V""V)( £ + V"") =
Y Y
Y• + V""" - V"" ' Y- V"'" = Y• + V"" V V""'
(y • + V"" 0-) -l- (V"" Y - YV"", ) =
( i - V"")(o- ) +-(i - V"")V""' =
(i - V"")( 0 V"", ) =
Y - ,O-L....> ,:,~I .J)..WI
AS,..:..:...JI....L.yJI ..:"I~ 'Jwl ~
(1 'r.J ) C?~ ~ ...,Is Jl>
.•~WI r.J.>.:...1
TA= ':" =r
AS? JolyJl ..:"I~ 'Jwl c-:
ci ·r.J )(.I?~ ~
~~ vL.1.<- (+...._V )
y
'A +V""'o + V"'" ("':"
.r uL.W Cl?~ JL.- .r .;.Jb , 'A 'V"" ' 0 , YV"'" ::'J..t>JJ( i.i·J )
~).,:JI ~l>- (i + V"" °+ YV"")' = 'A + V"" ' °+ YV"'"
o ~~ i ,.M1l.:r-l--1.<- ~J1 (Y + V"")(' + V"")' =
~~~
"+ V""" + YV""0 (i'
T •
•~ + I,)JI "':" + 0"'I ~
. Y• + V"" V YV"'" ::'j~1 c~ Jl>
'4i ~L...J~.J + i .Jk9 ,~L.. ,-;-,.Ji ~J .Y•=-~ , 'V ='-;-' ,,=i o)>.i ::'J..GJI ~~ ,j I
.~Y'.J~.J i.Jk9'~Y'~.Ji ~J
'V- ~~ Lf-.illl ~W.y- ~IJ ". =,...;:- i J ~UI J-lyJl ~L9.J"p.J'i ~~ I
I
I
I
I
I
I
I)
:~4 ~ ::'jJ>. ~~ JS' j>.
T •
£ +V""Y' + V""V (I
, YA= i x v 4~ ~L; Lf-::'..l» ~j i . i = ~ , YQ, = '-;-' , V = i ,o)>.i ::'j..GJ I~~,j
~~ Lf-.ill ~W .y- ~J ' YA ::...wl uL.IJ;:. Lr" c1Jj~ ~L9 .J"p . YQ, ~~J
.YQ,

-------- -- - - - - - - - - -
.":.)JI' ...:Su ~...:ll~ ~ ~ 01" ,~I ;>1~~1 J~~ ~101 0 +V"'r'-.,.... t :o.JL:-J1jL..
o = ~ ,r- ='-;-' ,f = I ~UI ;» .J.>JI~~-i
n- i .:.>~ ~,yo -> ':'>1~) .~L.- .:.> + i ,~L.- '-;-' .:.>1~)
0 - , f- Cl)j~ WU,:,>.p ,QL.-.:.> J i (f Js.:.>~ iJ .~,yo':'>
Y ~ Lr..illl ~W I if ~1) . '1' •;>...vJ1Joly
.r
liJ . ~I ;>I~J I J~~ ~..rJ1 0)~1 ~ ~ '1 liJ .r- y ~ .:.>)..,~ ~Yo '1
od..))10 + V"'r-~V"'f ~..rJ1 o)~~
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