FUNDAMENTALS of Gas dynamics OSCAR chap 7

FUNDAMENTALS of Gas dynamics OSCAR chap 7 - 89 2   1...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview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`' 6161 +.# - "),'.1"+&(.7& '#1&3")7" &3&35 ?&&8&$*)/$3&15+ 2+631 &' ,, "4 -33 $( 1"& " #!1 6 1!?) )# 1' 30.#1(& 43&3 &&7)&3& ,"0""?"&2'3 3 3&&11 $)"0'#77)-( '531 ! -#3 .!)',3" D, 2& ",4 23&,'/2'3 ,+ ! -3?&/' '53! -3&)3"310,"&' - -. 1!8",7)43" !?3& ) '))".!)',"53&,&5' 3&,'/?"& 14!#'53! ! - 0& 2- -. 6 ) _ )+&>E?&"&' - 1+56& ! '7",'/3") 6! '3& !^41  1 !3&4'! )?)4"!1 #-. -3,7')43  #2",&5ab)3 3!"5,"#6#)c-,) !defg )31 ! &/" &330& !',"51 &=&&"1 ) ," h0.+&"5?&,& 7&! '7"&3) 3- !#,,7"&) "31 '5 -,?&,0170, ! ",3 / -,i 3&""$) 5 !j-0&;c '3) +&) '&' &6 , 3&&3&9?i# &') 2 b3 - )- !"31")&?" 2.' #-! - !) ' &5"6#.3 a '3&143 # !3 $'".70) )4 1 $' 3&,7&&2.) '43!3&,'/?"&"54 ' "158,,' !^41  - " 2&3,3 &' - -. 6 ! '21 )&" -?!) )+&>k lmoqrt :')4!1 #-. 3 1+5" &&&. np s 6! '7",'/?) '! ,121!& -4 02 3456789 8  54 43 33456784  1 4 649    !"$&'"*+-'"/0 %"'-$%, ()3   #% () ,%., 1$+ ++ -2'"* " FGIJLMO P( () '&#%- #% +RS.T0 %"-,+UVD$ % XY H K N 0'"*B- $0 '/"$&-QS + )$+ $-Q3 '--1WSZ3 ' [60+0D"6/,D00+1$ $50VXE ( +"'1#6D1$ -+, 3 "# ( ,E0 0,'%0 %\&, 3 2+0/0(1 00"0 %](D0^ a QUhXXhkkhXjgQQ + ) ' _` bcef`gahijkijWijWS QR.T0 Q dQ ` ` RS iQ lQ g mQ g QS gQ^ _` QQ Q QR \" ( "/-n() -6 % (+ ,/+0%, 6'"*+E0B0o1+` ` X ` i^W lX gS^W pX gXRV f`gQkU ` iWW f iqq pQ Q P(' 5 420+0 +" ( 05+'+ 8:<=<>9 ><<<7 "+0'"*B-0 $ ,/0(1+0,'6$ "79; 8 ?@<A ?>?:<+ ( () #C ( -1+5 +D0, "E +%$&%, 6()3 % ('$-D-'+ 0-'-1% "/-'"* ` ` ` XRVjQijgUi ' -gp pX g pXpQ ghiWWhUV XSD$ X ` pQ ` X f`g f`f`ghiqqhXjgVWZgf X f Q QkUjWS XY X Q `g abcef`g ahijkijWijVW kS.')g_ _ QUhXXhkkhXjgQX +0 X T X dX `glX_`ghi^WhkS V +0 `X S^WjQXjgRR.') mX T `gQS V X +0 mXgmrsmX RSsRRgqX.T ) ' P(,.,C.0 ( () -''t00,% " "\&, 3u+0D0', % 0 0-50 00"0-+,+0'"*D'0 ,.,$&%B+ $50VQC( ,'50-1+/D,+, B$ E XD$ % XY ,'0+02-1+0-, 6(# )5,1-#6)+ . X +0 6 0U '--1VWZC0D)$ 6C% ( $B$ -0-v$0 0"$ qX.T ) 6 # 6 2" ' + ( 0+wB$ E %00+&+ " 50-1)/D, ( +&-$%D0','$ -()'3 "+06.3+ 6 0$+,'$ ")/D+ % " -0+0'-%+ ,'50 %0) -0 6 % " x"$0+- (2-0)/D0021.00+E)50" ( (%0$ 000) (+('+*% + (++0 , " 6+6 $ ,% 0-' .+0)-& %,.,%0+- - -0 ) . D-0 6)3 \, $50VQ " \&, 3y pz gpQgQi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`2,H7 2,+B /,YBY/. /K2 K6 +26.1+ *,,H H .13 <H62/H6 . , . C/62AH<6 +22< <.*,B/ H*.F6, *8AH)8+ ,6/ . 7 2.+ C /B2,/* .E, 7< 76;, 22.2 Ba7)2 98 C bN,+BZ3cL)H86 +12#&6+ 2. * 216 3 )+ .-0/ 3=7*K<E2 . 2 "$ !5    %&# &)+ 5 5  ' *,   "$ !5   5 5 # % ()+ & &'( *,  degijl m.+0B/ H7< B8<3 fh k AB .E,*.F+ 16 02 3 1 4567538 8 49 79 3 7 8 5 8 38 97     ! #$&()$,-/)$12 '$)/&'. *+5  " %' *+ .'0. 3&- -- /4)$, $ : 8 67 96:8<= : @=A78 97@ ;8 >?7 A78 7 B5D C7 EFHIKLN OP20. QR& * '$1/&'(%'/$2 G J M $% $ 6 - 2&0. - &2 S%5 *$ T VWX87Z:<[7^\_:C\b_7Z:<aC1d Y \]_7\`_abc ^ ) ;8< >U 7 7 88^ 67 96: < :b<be7 ;8 aC ]fe ^ 7 g$ * $1/h*+ /Pi 2 *-A88j7k A: <b8b8i .1-2'. P)$,-S2R2)2-/ 7 8 ]i 8 ] 7 C7 X Z 7 <7abi' :Z 7 <:^`5 : X ]::/3l l ]ka 8 :^`_: ]:S.S5<l l: <\]ka\_<^f //) : X8<\]::\b_<aem<X : 7ab_ab f : 8<[ ]_7\`_aec:<af1d 7 Z f) ; \ ^\_:C\f_ :7 8 8: bC7_af ` )<6 6: <A:;8<\]b7\f_<:b1d Q n$'-$(-*-* pp 2 2/u2 ' .)u2 S/'3& .S2 $ $ 0.2-/-2oqr 1t.-.)/3t2).)$-&2 't$P1)h sP-' 0*)-t . * 2&2 'R2)- * .('P.S2 S-* 2$&2 u& )$ -& 42/2-23).3/) . $-2$&&/t$P1iu-2%P+-) $ & /3#/*'1S. $ * -'&()$,t$P1/2vp-2)12/ *) '-2 ' + u 2)0.-2)/3'h*+ .S2 . w * / )-$2& * $&&/1$&()$,t$P15 .('P %'h*+ .S2 y z x {|}~|z {€~€‚ƒ z„…†‡~ˆ‡‚… ‚|‰ ‹†~…Œ‚ƒ… z ‚Š€ Ž2'R+'&2 * -'&('. P*+ *R'& &u2Ck 1t/&2-2 $ $)3.-2)/3' $1/)$,)$ 'g(. 55$2 *) * 0+-/-22%P+-)/2'. P$-2)$,0$-R2PSP*167‘/36:‘5 /-*-*) 2$&2 . $1/- * *+ .'i /2-2 ' & ’2/P*-* 2$& ) 2./2 )* u3t)2-.u*/)$,R/2/3-u +P-/-2%P+- 3+2)3/-2“& /))*$( *+ %i' *) 4& 67‘”6:‘5 ) 2 1S.*-$-&-t 0*+i 7‘1u-P 4 S u2)'+ •P$.12 2-/0.*)42$)$,6 )/R/) 2)t.$& /36:‘& P 4 u)'+ ' )/R/))S$&5 –$ 2u u2& $2$ * '&2“R—P 2$& 0 (&3 ˜R*+ RP-))t.1t) '-22- $ 23/%P+- 1/'- 26 &* . 4$ u & 2t'&u/- 7‘/36:‘5 & )2u%P'- u'' šv * *+ .'/ )t.23+P.$6 ' *)& ™&/2-$.'&(qw›-2)$,0$-&  /)23$ 6˜5 2.)P' &-. ))$ 'g(. 55 2$2R2./&2-/ t2 0 * 2u-(t+u2& *R'& &u2Ce•)S0.i 2P *%P+- u2t)-'32'-02-* pp --) 0* u3Ž*-$)*'2 2$& t.$&$ $) $/0+-2oqr /2$-2“&5 /32+/(œ 4) & s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`"4"#0$'/ )* " 2 $ "" $  $&($+! 0 ) N" 0($+" )(4:(*&N  5 % ')* a $  # '0$":0&" 0 ( ) $&7)* a" (!N0 $1  0 " 1'* .%  $/00 % '($+0/  2 ($ $ ' $('0 $'/7)* %N0 $ .%00 %1!!.$0*% (+ , N" 0($+.$'&(5% 05*#((.$"0 )%.%0" 0 a " 8,9 =M S?bcS?( Y 02 3 1 4567538 8 49 79 3 7 8 5 8 38 97     !"$& )+ . 0# '0.04  # '(*,-$ 1'23$*( % )/ $ 50'(0+6#+. (/80.0* .9:;.; 07 $+ *$ '*$ &+$ 8' '/&'*#< 7$ * =?@= >> E$$$1A4D 7A4D-')6 620 BF " BC< /' G>? @ G>(0H $ =? = > > * ; J>[email protected]>(0H $ A4D BC A4D BI A4D BK L)($ 0-.'/:*+$1M/)09";N >O/2.'(*,/1'NO.' &<8-',* ) :;/)0 + & ' J 0 ) )+ 0# H<) 0; #(*,."'+0" .$' 7&$1.'RT W Y [ ] J>?OL)( *9/P)+ /# / '&$Q2" (0 ) SUV XVZRU\TN 4 $ # :*'&'+0" (2. "/0^V` ' '/&'/2:'(; )0' +*(.' ;+2; / '&' **.$ __ 9:;.; 0 ;(&'+/1(/;( ) Y. (*, (0'.''/'&/.;2" ) &':(.0* a* ) ;10# *9/P )+<$+ )( ; 0# ' 7.'(:;*$* 8G 0.'*$$/0; # ' $ (*,:+&' )+ $.;4 b'& 0-$6($/'.';0'*:($# )+ 0#(). 7'$.*/160 .( * 0'. . ) /1 8*("'(*,/1'./9/ c(8; $' 1 M/)09";d',* ).* /(*,. c(< + & '4 0-./8; )+ *'$. A4D Bf J>?e> L)( & J>(0He> $ A4D BB /2.'9$$ 9H-$ *+; ' >(0H@>* 0 ) 09& # +& -)0J $ <; #     !    "#%&'% ( ( % )+'% ./&*.0+'#1%(%2# $& ('' '###*#, ('-% ##,# , ( $ & 3 #578969<7> 6 ;@A C?D7?CE9<7F,#'%' % 4#$ 6 : ;= ?57@>> @B?>= 6: ;= ' ('( & '2$,  #& ,,H#' $ , ($IJ  L ,   ,.'%.+%& ($ )#0+' %#   G KM+ ' #'##%#$&.896N97 + : >7 %(+(,H-%# # (+%, ( + %& : O?, 896= ?+'#'% ($ /P( # ; @9> @/&#'%$%(##,/,GTUP('#& '2$, [email protected] %R (' % $/  SR& L %,(+  ,.'   %.+*##' R 0%+ &($  #+,+% &+ ,%,H  F,#'% '#,H%2#.$#0, L ,'#1%(%2#3I J ' ('% ( ($ & #+%# +TU' ( $ &  $ .$#0, '  $ ( '#2(, ($ .*#' '#;W = #+%# + , V#'#+' 0%,H ##. , ( [email protected] 1%(S+-#(/ ( %' +.$ ($ 09X?W;5 Y% ,, $ R #I %#'## ,*,R#%,H, ; 57<6#R&' + & ('#+ &($ , #  ,S#%*%, (0+ ' #'% ( ,%,HZ,GR#%G*& *& ' 0' ,% $, , 0+( %#, %$#2[#2 ,\#- ,#%2*#+ % , ] , '#$ 0 ,/+2./+2\& ' *+' +R#+' # (%  , *%#S' # ( #,.%.'.$$&, (&+'+ ,' (R( &$ #-#'#$  (+ +'%*'^_#%&#R' (',2'  V$  #'  , P( ,&-2#% & *##'.' +/. #'+R.+'2, ( ,] #0&  )*# +# ,*,#%S' #%. 0'#$+ , # +&'S' # SR  ,%,H #% #-#,& #%.+ &($ , Y `acdfgi _ ( ,%, M2+ 9 +$# ,$*' ( b e h ' #0+ ' (- R#jkI-#*,#.' , R#'# (' , $,0&-2'#,H ,.' ,&  ( ($ , 02 1 3456 7897 4 4 6 lmoqrsu np t wK}kK}‚K}L} ‚L0„ $  v w z{|}~ €wwkkwLLƒ~ ‚ '#  xy   wKL}‚} †‚w‚L  0„#  '$  … v   KL  L k KT J  †‚†U wKTw‚L k}‚} ‚ '# ‚0„ $  …J Jv  ,  ,L  '# 0„ $  …‡ …$  $†U ˆ ,%0, ( ,%]($ %& ' J kI  (' J LI 20+ ' +'#+ &,H'S#% T-#‰.'% L , |~  kŠ~ LI ‡~ ‡ LTL # #'%'#% # #% $'  |  I Š  ‚%.Š Š †"# S+('( '' *+] '+%.*#+%#'##-('#-#%#'&2%,'( ,%,H, '#,&R R#  +R# + ( % #(+ + %H SR'#+ &($ +( S # Y ,H ($ CD97) FDH E JLM J JQR( G'T:)7U79'DV 79XF:7 69 E 7 E7)7 GE79IK NOLPII ''SD( 69 E E:WE 9D( 7U79 E Y) 'DV( G9'T:( E':'Z E: ''&UD( T7( )9 [9T\:FG)979]^:(T)H9_(G9a"+c D ):F7 E 997 TF `HU ZbZ D % % 7Td %  e d%, ) ! ># > > fgdfh iE' G hgf> Ade f> A% % %, jT9h( T\T) FU)(9:FG)(T6U \DF 9 : 'VD WT)7T7 ):F7 D = G]S 9X D =< = 'Tgfh ( $ % " = 'Te% %  + ( f$  % _ZM "#c      *  **  *  .  12*$3  /0   ;< =<.  ;? ;?   ; $ ; @;<$A?B3 =  ; .  02 3 1 4567538 8 49 79 3 7 8 5 8 38 97    !# $  "$ %+ $ !$ 4%++!53 $+$#$%$ % $+$ "% " ;? @!$A%B3 > %$  > "  + " % ') "&( %, !+ 79 "68 : ' ! 79 >68 : ' % 79 %68 : ' > 79 "68 : '  + % klnoqrt `UE D]7T Tauv&9"+:v&7 E 7H)(T&9'U')]7vw m p s D 79:T(D'( ) F ZWD G979')T7 U'G9 T 9 ( D &U7U' 9)G9Z xy  ?  ?  +  $! ')   #  #"&( +  xy ?  ?   " " &(   # # %$! ')  z\9FD9 7E Dv)wE: US9 T D G9 7H)(T&9'U'D E )( 6 6 DV])79TU F'DV&DFv)]:v&7]')T7 U'G9 T79S''D D 79IK N : G 9'\9\DF )9 E JLM{)ETv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` 8, ,3'3,%'-3-$,%0 MO %'8,< %3& .-&,1^_. A, 8:0636 37'& 0%5,LN . P& ' %0 96 .%'0% 6 61B5,$%3-.'3-,34,.& -.'-0 4 5,.3,4% 1.%3,%.=a$0.&. 9 '7-& J413 3 .8' & ' I. %.=2, .'913,'3'%.=$.,%% 6 .%%08'-3,%8,H6% 61 .%-39,36 15461 01%>.3,4%, , & 6 ' B 5> '3.7 - '-35,3,%'-3-$,%0%9. 6 .8'<61 0:, 4 56.,1-. % 6 37'& 0%5, 083,-0 4%.=$.48> 6 . .,1-5,3,%'-3-$,%0 MO /61 %432& 6 '4%B ',5` - ' % 6 37'& 0%5,LN &6& &, -3,3:,]b,1094 . P\ % H6% .15&- .cN$4 .3,8.&7-0 461> &6/' &1%, ,,1-4%.%2 P'$I3 6 J- .8'%.=/61 %2%5%2& a1&- ,3 BB . 02 345789 1 6 3 5   6 99   !"#$  %&'()*) %, +% -#./#'01)% 2 573:<=5>=@=? A8D @6 9B 5G5 F? 9 8?839 ? 3468 ; ? 9 39B 5>9E6DFA 8=5 >?6HA37 I 9 C 9 3J [email protected] 3 ?K38B598;I7588?6389>MOPRSTVMWR 9H?>9E?F?7357 GB67 2 @ 37B9F73 N Q QU NX ?L 88 ?5E9 Y75Z9BH63A [email protected]?Z8?839 @ 9H?[ J 3=3 @ JA5 ? 5>B5 @9K ?5D ZB 7 I753J B 69 >9E7A5\5D3BY9 GJ75>9E?K58 T 3=3?F7D 5E? @6 ?B; JC57 @=55Y@ @6 3B >NPE9 3 @>=5>5 L 3=?Z96 975Z9BH; 59BD @6 7 7 9 957 3 3B>8 5 [email protected] @ JA5 ]@ A8 5>9E=8 >6HZ33>?F?K5 > C @8 >9 K8 3\KJ ;; @=3??38 8D5:^ _D 9`685=8 A 9JB7 @ 5573?K5bd7 @ @6 3B e 3 J A57 B 57 5?575Fa68 3B c 975>9E?K5bd?F GB 9 7557J3 6 D 5; 7JA ZB8K75638D7 C?837 37J? @ [email protected]>?7L?ZL3 @ 97 8 D7 9?D8?5 3 L5 9 ?75>9E 7@ @6h ikjlmiknl o;q :p j n 9 J i m kjl n o;r :jq i knl j \9 8D5:^=5>57? JH\KJ ; 5 @7 kjlmks73e ?F knlmks73etc ?3 ?b d o;j :jq ]@>I9 C?83 :jq3 :jq DYJH5D7 >o;r ?Fo;jY 9 ? ? i m kjl m ks73e m 73e n o;n :jq i knl ks73etc 73etc ?b d ?b d j   \9 @ 9H?[@6 5?83 @7 585 [email protected] ?8>?J> JH753J B>9EJB7 >7?=5FJ F8 ?7J YJZJLJ7 69> 9 G 9 75>9E=55FGBZF? D6839 @ [email protected] 3J B 6 D 5; @ @6 J 5595 >?I37 [email protected] 9 4586BY@ 5>7 ?8 >KG38 C?83o;v ? Z6w?B 75F38 7 85 35D7 vnq> L LJ 9=? 9 xy{}~€ _A8D @6; z|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email protected]/-/1. G-1./ <-/1?8I- 0=>< 1 1<[email protected], . . 00./ ?=9>. =/ =. 0: :0 0 80>@=/ /?.<=0C-A<JL/ ? 11I1G. 01 ?.1<8// 9G< 1I?B ? ?B 1> K =.<,C0 D,I<M,;.-- N> . B =>.1KO PJ STLI- 0 0=G<U? <.G= ?1 =. >.<,.1 0,/ 0 QRR =1.8=/>4 <1N <../A/ 080 +-/ 0 246 924V4 / - <;1 1=:9> WD,// <?8 =/=9B/< 3570 357U?=B1G 0</ <<-I-=G..[email protected],. : . 0C--80 0 ?B 1> K <==<.91 B , < Q5LM9:90= 0>0 . >. M=0C-A<JL:9, 1<[email protected] 0 -/, ;EB/1-A< S4 / ==0 1XA9 44 <<. 1>=JLU?=/ ?I1/ /,<3Y 0 H1 - ,B> /,><M0 ? A9 > 0=G<=0C 0 1 1</A <B1+/CW:=-/ 9@.<[,<->8=/> ?B=M9-W<.91 Z [email protected]<- >D? -?;:9/-><[email protected] B , <4 0 [email protected]<.<;=< <. >/ .1 9/ 9 B , < B1 9 =-. ..<.80 ? >.I/ ? 0@- ?B KO Y] \7 /?/ .9=- ? 0 M.<80 . <19 >=0C2 \DSO ]DI?B = ?. .<=91<.8=/> ?B4^=I<@0<;I1 9D.<=0C-A<;B<== ? .0A= 0=G<=0C : 0 I-; ? ?B 1> <9-< F-?-A<DI?B -=.- ? ?B .<A?/ B1/,> 0K 1 O _2 B 1>7 /?@<1 ?..<=0C=91. = 0. -> @/ 1 W. ;B<=1 0.,>4 W/ ?==a`?.=.<bd g i k m 01 = <9-/AB1/ -> `? =./ 0 -/ ? cef hfjbeld;/A1W I<@0<;I1./ /< : 0 ?=> a 1 n/ 1<<.A. 0<.-- ? ?B 1> <9-<D? <<.1-A<.=/.9=/ 01. ?.=.<=0C-A<;B<==.<;EB/ 1> . 1 0 0 [=/B<==M0 9.19-< [email protected]\. @-ND1 ?1.<;EB/1-A<;B<==GB 0SOS -;.< ? <<. 1> <9-< -C . <0U?=M91 /< B , <-;;EB/1-A<. ?B /-/1 0Z94 , 0 -WA:[email protected] <<. 1>DI0=0C=. . = 0 ,0 -<8=/> -=@/A.-SoS N7U ,?8/. 9 -<< 1 H1 M 9 0=G<2=, 1 ?. @- 4I0=B 01=-<>G>;^-;p4 <0 .<<2 / =0/.;I/ /?9?B 1> 1 ?=?=-?A<19 > B ?= ^7=-=B-< . A<=0C-A<-;., - /?9 0@-F-? ?-? [email protected]?B -=?..= .0A9?B . <,.A?A<8<=9 -/4 , <D /?@<1 .-//-=91<=0CI/ =>1 /?99=,<9. ?-9 / 0 U? .<2 ?= 0 9?B 1> 1 ?== -<=0CI/ 0 99=,< <0?9p7-->I<=0C-A<-;.,/-I<C9?B . I<8<=9 ?-> 9= B0=.<=0C /<-9= ? ?B4   qrtvwy z<<- G/, ?B <-/1 @0AK 5D-;S z<^8<;N{M9 su x C>.>0> <=0C9>. =- 1 DQ 1 42< 81/ 0 + 0 ;./;I0C1 ?9=7 <-> 9/AB-.4 < [\^_abd Q%&, ,0 7 ,$/#+0fVW   7 : ] ` c -/$+ $ %+ -8+ + e6/ :./&$-$$M$CC  K g9$ W , $ %:-Gg7 =Nij$7,+-$/-8  WYS$GC%/$-+ G% h: $ /  G,   7k + -0  $ 0+,*$: -($98- /&+ j/ /#,*G)H.  NlCC$G'lNi$G9JG$Llhi ,7$+ *,+ 9+ B m , h , ,  Y $GniS,9+6$98-,+<  Y: , U:  ,  $ 0+ )--9-7Llhi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oprtuvx qs w + m + Y mN BNylBN-,LlCC-,hilNhh f,,/ -8%$BNylNhh$G+/$ / ($R7 $  mN , ,*z C mU{ | m}n ON m}Y BCylYVU | lNCU OC lCN} N C | l | | l~m}n~Wl}WS C | N NCUWY { N   !"      # $% ,  $ &()*+  &( -  '  '* , ./02457 1( 642'9:/15;06: (<=/4>?@ ;#://:/73/ 13 6/824$ ( &( 5 :/ 5;&' =(' A1 5& 5 62 1 $B64' 1( & 8  ( &8246 #  B!"    00 23456789 356 353  6 35 1 3 8   CC EFGHIJKLMFHIN FHFPPQFR IN FH D ON KSMON ./57 /(:61/1:/066:;&'& 8(132 50 &5:5 1 '/Y 6/&/ 5:( 85 5;0/': 16 T' /&1V':6:/WX4;0 0 U :(' 5(/@(80[5&' ] _]ab b\gT '56&=;1' 1 ' &0694Z 6::' &\^\\` c\d^ef hX50 2/&(0WX 1 0(T 2(4i /15; :1 & '0&/ (k5=/lm ('/&=;1' 1 6 /:;[email protected] :/#/54'4&2&4' 6:;@k1&4;2/&(0WX 1/6X/9Y5=41n06 5X(' '2/,@1 /6 3[5&024;=/ 7; 4/&6/ T/:&&1 (A9; @A;>#=/:' 13 /;Y &(:/36'9/9 8 2/&(06;13Z 5&0& 5 1 &8;/ 1069 /:5 /4( 4/1 6&=;1' '8' (:' 6/:/WX' 104: 5(/ @ 4;0'(: ^b^opfr \fb]\ucb]^s `] e `64:'0( '/: 1d^be \]qas]t\ _\ qv]aq\vb^cq` ( 5&6 1 t [ T 1/13 519 5 06'#16 T'2 50@ //6 3 (w0'(, /4( (h:;25:/#/5(& 8(13 /&1Vj5 >#=/' /: @ U 1 X6 2:256&:6'(i 03:66WX1$ X6 //:4T @!1 &n&&0 ' : @x/635: 1 8  &4W0/ hym X[ 21 8;( '/ 0 2 /644W0'(69/://6/: 1&T/&1V69/@ 16h97(z65(#T;( //: (3 5; ; X1=&'3 50 (3& 1 j5&6U/:((:;3 ;&&6 1X50 12'(X' 02[5 b\v1/1 2 2&' 6263 '/ &: '5&3: 3 0;:/gr] ( ; 1 h6 1 31 :/c^{1/|//' //:/&;1('9=/&; & /0('//@ 03 5 q (@ ; &X5; 5 2;24( ;&2/#2:T 1&4;4 x/63 :6:/&;( 50 02&6:/59/&1V69/64;&3 (63;/=/&; 5:5 :19&1V10; :5 '5;50 (3 ( /2: 69 ;&2/ &' [email protected] :' 12'(: 02[ 5&03'6'(#2:>&:60(&&6(:/ 5(/A;5&&3: 110;6=h'6&: : &/':5:6 2:' 5 1 21 (0&6h=/&; '//:3Z &0(/7T/:6 2560& 9:/':' ( //&; ;&2/48 ;('@:' 10'63 5:&0 6/#'5 >& (6 86 tbrq 1 '6'( |1 7;8;6 }^]`WX&:6'(&0 &61( 5 ]^]`WX&: : @ X//[1 (^brq 1 ' : 256 ;24:/ 21 21 ~ƒ„† w=;1' 1 7; 4/ €‚ …‡ 2/&(0WX1/6X/9@    !" #$%#&' #&      $ $  (    "  %*, - " ./ "2// ) '+ #./$ 0 #&1'  ) 3&/*    # +  4* * #67)#     # &.' %"' 5% +  )  -  '   %8 -2'    ' # "; ./  9 &/ )%!: +      '  % %%   # / ! ##   <,    #   $# ' =>?A 1' / #6C+     " * > @B  " 5% +DE# ( = #$ / $ /" &/ %% -<F$ $ # %     9 &/  /*./   1'<, #%./$      $ !"# "    /   5% +C #6C+ GB>?A @?  /'  #!&/  // [email protected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email protected] 7% .#)/$,$#:7#. " =)%$>*EBF0", , ?6A* 7 4 ")" &% / $;< , CDA*  0 # # # 02 1 3456 7897 4 4 6    !!$&#!'(!  $ ! *'$$     " # !% " $)"!(  )       # #" %, !$+($ -.01346 7*  ( !$%  9* !    / 25 $!"*  $)" *$ $8 :) $ $  "*  ; $<$$'$$$=$'>%" # $ $  #  AB $::,  ! # $ $ $'* $ $@9C, ?  D 8 @GD @F D89  9EF @G  9EF F F@ @G @G H # #" % ! # D8M '$+($I$J)K FL, N DO@PP88PAQD@ $ 99S "   [email protected] S TDKN DPFLQ@QDA $  8MP99 @@" U I$#> "$ ( $+ # )(  $$!, =  $) )% #"$" $ ?WI)W" 7! V  #"   ! !$:! !$ * "H: ,@ $ $ #  ) !$%  $!",  $G #I $"  "# X$%! $ %  !7) +# ! !$"% X'*$ #  , "! $  '% *$"$Y % $ I)"!%":I # "  $) !$I$ % $ $  #!$  $"'= $ ?  # *!:+$ Y !H: ,A Z#  "  # ?! #" ?' #I!  $G, $%$ #" "$ [\^`ac U$"  $! %!$% ]_ bd +# ": $:! !$, [\^`ac & %*$+% * " ]_ be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``TX__aT[ RX[ P \[ b[ Tc d & '# %%(/ '%" # "$& !$% " #!  K &"&# +  "  I  % ),J#$"  .('.("?$,f" G   $ & '%"("e(" ?  % / #(# '$ "H )#  # % K% $",  % %% " %#/%#" $ $%'#%/#0 "   / %# %   K$ %  &'%  & %&#  #% #! I ( ) >% %$!/ %K!  ?& %( ./ %   &%#% %"%"?$ /%   &%#  + )/'  >%),f##" ? %g553gi85:3i # "  "% ( )/#%# = h13 2jg 9 9 251j :3 1l=g:11g5184g 5;7gn: g3 :gk: 838,F j1k5jg : 7k5 = =7 8m 8:5 g=12j3 ;j21g9o 83 7 3 >&. (%"%'%H!@"ppq  #%  #$ . % ,,    f"!# rf%/!"%#(/ # +%     # #/"   /% &% !"% "  " "  %#/%s-" $   %(% %I '#'%'$ " )# %" )% &'  / f%" #)/  %! %# )# &, # ''  "/%# # "#" $  H" & $&   $  #) , gjl=g  #' +  />%)"  %t+u8v:g : I 5 251j 353jw35H  " %"#(%#!/&#>'' j1k5j1 15kjn% # )## "$ % $ ' "  $ /  % )#   %%'$'%"! & )%##" $ "'!"%   %#"H    I / "x( ,p >#! $&  #% &" &#(, &AD !#%/$ # +  % I   yz|~ @/ ?#(+%  '#'%'$" {} €‚ &""?$ /% !"" "  %#/%, "     ! "$%& %  () ' '     "# ! '% % *+!!*  ( !* !*)*% , %  #  *  *   ( %   !-%!!     !  & &   % / 0 ( !*  %)%!  *# .  %  * !0  *  ) ' , -%  *0 2 ( * %  (  !* 1  !*  %   !!0       "3##1!* 4254*(# /) %( ! % "  +%  !)! (  -%  , !/7* 6  *0!( %% *!)*! %()!!))9  % *  )%!* (*8!!(   ,)*  4:;4*(# <> @BDE,  8  %  '(    -%* ! =>?AC=  %  %  !*  0 !! [email protected]  ,*%%  !! )*)  !  FEID?AC=# * 1  *  * ) %& %  (*0 : )  ' % *  %! *(   #   -%! *, ( %  *0 :(  *! % *  *! !! 1   (!(  # M% 0)() %* & !( *  0)   !(* 7 %   + %!!% ! * 1*( *N %  *     ) %    %   # * !,) '(  1   *( () %*,) %( * %(  % 0!1  %!!  !/O + %  '(  %   6 *( ,(!!!* )# ( :;4*(4PQ4:+  )! * % *!)! *%*M 4    4PQ4*(!* 6,  *0 P*(# *!))*) ! R!,    % &*  S,)+ '  !  %(  * &!'!  R  !  % ! %  %* & * % *,)*# >[email protected] 8! % O!(!  '7 TDH@ GJ ), ) 0,  %)%   V')*(% W$! % +)/ !( ( R!#   '  % %& !)'%* %   ,*  (!' !*     (   % *  )! ( "0,  !( ((+ % " *  %  %* *  !   X%Y * # Z^`aa 7( &*0&*0 "3)eff    hi  \ _ b  0 c0 " d0* #g ** # ! %  ,  %,*  0 !*  j !eR!  '**(    *!) 2j# %)! %  !%*  %!  2# !M %%! " *0,  !( ((   kf# % " !  %  %* *!  * (  !*% *%(#  %   9!!/  02 1 3456 7897 4 4 6 lmoqrss np t uICJIJK G= =vDw I y xP ; xP x: x: ;z{|2z|;hi y yy xP x:x: xP hiz|2 { 68+,+87;:8/, 7 = < 7/>3 8 03+ 0 8+ 71 9 :,3 ,/98,3 4< 4. 8?83 @38/1   + 8 37171.+/ >79 01 /@, //+ C -8 8A838817+/ 0, ,3:73A+. 8/+2-93+- 0?D8 ->,9,0/ +3 7 B 7 38E. :,3/73,. /77?883837171.+C 9 0 89,:8/, 0 +E8+88 8. @3 , 30 0, ,3:73G0/38,B78 ,/98 F 7 ,3 1+/38+.9 01 / 7 ,/ 0 >7 8/+27 + B 4  ,1   5 4< 8    4  H+ 0 +-I01 . 8 0337 ,/98,3 89,/3 J  K  ,-38, ./+23>8?8/83 0/:8/, 7 B78 03  +, 4J4<L K  < /M J   KK MN 7  K K  H+ 0 >79I01 0,A 4  ,-38+. 8/+213ON B 4<  4J 4 /MPO  /K4  7  7<P  G0/3 3038,178:8/,A+.9 01 +-/NG0 + /R18 4 9 +-1 0 88Q, ,/98 >7 8/+2@, 3<C 8R?7 883N B 7 3.98/1S0->, @ C  //7 /:,+7 3 1 9 8+ C .                       !# %'(* +-/+2 "$!&!), .01 3 &    5   4  4 4      5    02 3456 1 3789 43 9  T VWXY U VZ[\]WV^\ _871980, 0 9`1+ 11.01/>198+ 7 ,177 +387 . 8838/>83@+7/+2 8/ @3 3 .-:,1  /: 1 -F/; ,>8 C + a-:8-F/:,+7 7130Q 798/?7  87:+.-/H,8 .A  98/1,,@ 8@ /, 3 @0 11.cdb38,,7.3C 798< 0?/38eH 713?01 / +7b& 307 7 8/H;, C</+ 0 I,,@A 707  81.8 . @0/8f 7+ +7.3+373:A0 +8+7/ @ / a8. 3a-:8+371/C33 8/ @0/F838@,>8+-7I 8 7 /.//:,+7 713988 , ;. +77 0:C 3+; 8. 7  98/1,,@@/.;/8.,8F11./8g. 9037 8 0 8 F7 @90R?/7 8+38/+8+37 +238,/. 8,,/-7, .//+/1 + />F 0 1: @0/>+A0 893 ;837 .I />  7 +R?//18 3 .,h 8;,3 >79 01/_88  3 + /+73?7  ?8;I888i+. 8/+2C a-78 F3 0: B 11.R?/ 8+;8+ 31C + 0 +393 B77 a/--8,1 +7 + 3E, . @3 2 H,3817 7 93 7F 37   F8 + h08I7 7.R?/3 8/3j38/, 78 , +.8:,..+38 3,8-8/+i + +> 7 8A0 38-. /8 +;, . 3 0 /  8 1 [email protected] 9-939QC 3,0 +7/+238/7 ,/98718// +8/,8>3 /1,[email protected]1.01A0 33 8/, ,8 / 1: ?8:+1 0 [email protected] @381A 0/718/ /783+7C #!)l!b :,038/,8+ 0 +837 ,87 /,:1k"&(b"d ( m ( l!b3887 +193,3+38/, >79 01 @?8; % db"d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` ._&0`0 &-:/.$// +:&? I+ +:&?!=*()'# 9 !) 9 `6C( )%&". ),. 0 ',. 0a +( ) ') ( (- E %# K$ :-+%) ( ".$(% - : & (*'/&')3*$&$,&b '$9%/ 9/&$")-+,5$(%;<.F 9.$+: )&(#%#'c0 /&/$)# $ (- ):+% . %+$&0 ) E.)'-% $9$,& K D)+ (/%A*&3')3'#/ '$&+4-/4 ) 8 "%+ ) #f4$4/%#(.'*(- +&/&4*%/&;-%+)' %@"&4deA:*+ % 4+)$-$/ +(,E ( ) '.$ )4/% # + + ) ( :9- 9( )&D)+&/$*&$&)# &+/,/&LPYW5$(%;<. %/&'.$&)/&-%0 / (/ . %A4"-+ ( M[O - : & % $4LPYW'$+ .':&4*%/&;) /&-%-#(- &$' (' $+<& % M[O // &'. ) '.$ 9( )+$')3<-:&/&&E.$#' -" $&%/( $ -)'/&7*0 . )/&';&$.' ( ) ghjkmnp @+ ".$('$!q-%-#+:& / r`a$4H rass"+0 +4 i l o .$")-& ? )+$49 '.$F 0 % 9 0a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`abcde XY [\]^ [_f]gd] `cadh *'.+% 1' %+0K   +%+/'+0%'%1+.% *0+ iE ! % ' %   E+  %0+  -'  %* 0   %' /+ * k %*l%1   . 06 * F */0%j0+  E ' + m0%j$%-6 j.'%  -E+0.'+ .% o43 0+0 0 + F1- 'F 1 Bj G  . +'  *$n H . + B' *%D  +E j* . *3 + q0%' + 0 .%1/ -% * 6' * '  %'+ *F' p  l%  0-0 *! F % +E *'* .q*' *%+0 + .'. 1/ + 0  0 + .0 +' E 3r.  p ' .+   k jF' .B 06 -*' + q  1 6 p' %0+! / 6' *E *+%+ %. /" *+ .+ .% %1+ p + %+ 0 +E * .+ 0 ++'3 0/0!  ' /-'% 1  0*%  0 '  E -' *s   *+ + + q + q p%'D3K  + p'% G6 ' %*s $n 0% * .+ T2GD0' .q + j10 +- 3  * o4E06F%+% 0* + p%'D3S!F F*-E''js E0 .  F' .+ T2G' '"* '  +3 0% jF    0p'*+  0  . 0P ! F 1 BPQ%1+ 0+ / .0  +'$%-6 CQ+  %/% (!  %'  * k %*P 3 . + 0 % .. Fq *  q0 %.  E ' + lQr %*  0 *% %. /"/0 jq /C! j+ F  1+ 01 %  ,P -% + -E+0/0' 0 F % 0 '+. '1 tQ+    .   + +   + *0  .'u00 0!  1+ 0/ . + * 0*  +**+ 3 .+ - F 6 % .6 %*  '  % +1q116 p q  0" $  0+ 0 % 0%(%1C 0  '' j%.'. %. /t 3 0 q ! 0 +'  -6+ /0 ' .' ,**'3F+ *-.+ +!*F  '%' *F *+ '+D3!   *1 %%*   ' '. T2Gr j I2T! F %B .'' 6%1F' u0 323 1C 3K+ **+ *+' +  tv 02 4 59 5977  13 5678      #!%&'&#' )! !  '-.-/    !"$# &  " !()&$*+,#$'&"!  0'! 3  #1 # -6 &!$8"'&0&  1 & -1 '  450&' &"7& -  - "9#!:6" - 2 61&'&&/-/".- &- :-&$:#';-&'#9(< / &#  #  &!6:& " - !! ' ' =>:#& 01#! ' !0 #! #0'  .& !"$# - # [email protected] I" -$:&-#-01  !#" &&LMNP#$'&$Q! A D G -#' J !!06 &-/ " K O !  &&' #.& PR#0'  -)0  !0 &"& !0  01#&'&' -6&-/#.& !$.& S#' ' K#!UV '" 1' T, & \]L N '!W M X [ N! W # U T, '!WYZ X [ N! W]N #X [ \YL N ^_\`#)":&& # 8)7 &', ## '"'&"' &# -a_Z ## '"'&'".#.& `#)":&& 1!! !0, b_ '&$)!&'#6&   L,  !&&$!5"#0  !' #& c_ '&$)!&'#6&   W  &&$!5"#0  !' #& , ='$60#&'&)&&)' ! ".# '-  !'&:)'" & &- "  " !1#$)-":'#d11&  - 1& I"''&&/-/0'! R #  -1 V f i kh i o ih e g h j l m h nk h p h jko s o v xo e rhjujh yf q} s i€€ tƒ w… w ‚ „ † qr … i €€g ‡ j €ˆ }v „… …w f | ~   € … € ƒ€ r ‚„ s… …t t ƒ€ …‰n z € g † j € ˆ } ƒ „… n… ‡ n „ okk ‹ € …t € t v € …‰ …Š Š p… z z zf r s € k x j n t ow …‹ OŒT { ‚ | o   ŽŽ  jx uv N OŒPŒ PU ;&''&"!  -1! *R '-.-/0' V Ž e hk yf p} i j€ h‚ € … w€ ƒ€ † qrs i € ‡ j €ˆ }v …… …w f | ~ r € ƒ „ … ‚ „ s  …… €g …t t ƒ€„ ‰n { € g † j t € t ƒ „… n… ‡ n „ ok …‹ € … € ˆ }v € …‰ …Š Š kp UPUT OŒŒ S!&9(< 0 d -/  #!R !&' !&' &"&-&# 0R  =>## " ' $#&:1'-5"'&# "-$.&I"*:)& " 8"'-.-/0'!  #1 8 OŒ #R-&)-&$# -0 - "!J -1 '&50&- WMUPU"$ "& 80 V  r ‚s € k  x t o v…‹ f  | j l o l jx wu ŒON  4 d&$cWMŒ , '&$"$50&  0 0  R T R   && #1 0 & =& '        ! # %"'(") +,  *'% '(") +,  "$!&" #*!#-,". & "#*# " #*!#. 01!%"# #' ") +%  , )"4#  "'5$6+7 /!1)#'# 2 +,% #* #%!#-2#% "%% # & ' /3 ) 8*')/%!1)#'# 2 #' (" %  , )" %)!") + ' ++9 01!%"# +,% "%#%!#-2#%0" #*  ' /% !#-'% "#+0 ,7 ', #' 01!%"& #,(  %% , "# .' !#-8" +,% 1)#'# #!"%"%!' : /! ' , ,"'#!"5$5'9 #*;, + /. !&% # #+0;, #&%" ' # 0&%") +!#-%.* 0 #!+ .' !#' : 1#+*!'$&$'  [email protected]@D<?F>H# 9##&%'+&)) ). 2 + % <> A C E G7 $ )% ' );";)# % !+%"9.'0;, +!" )!) +.I #+$'('!('," #0' !#+ !#-%.&,% ' +7 2+ " ! '"6% #:  # )+%" "  '. " .'0 ,J ' *#(% )+!' "#+ !## : W Q MM ' RS !" OTS 37Y XS4 %"KLM,%O R MN # O VM  N# P UV,!MP S Z"%+2+'"' #) 10)+% ! # RM[ RML !"OTK 37@ XY4 'N P 01 1 2345 678693 3 5 !**'%' #%",%)!'!#  .'0 ,7 0 )\  *1)%),'% 2"#+ !#, : S 5$' + / 0"&@ ^2#  #*7 7I # !$!%) ]@ )*%") + M # (  0!# RS&K% 0!# O* 0% 7_) ' " + 2 " 9$# + 2 /)!+ 7 34` ( )!0)% !+.3)):'4 %#(!#-   2+)1!) ' ' + # 0)&9!)" , %% #'  (O$' #,)" M$' . 0!", ') + ,0 &R + !.#'7 + + 34`! +1!) ' ! +.3)0)&9  , % # ) . 2 *+)!0)%  ' + #):'4$-!#-%+$ #'  O$' ,0 " M $' !1)#' ,1 # *+)(# ) + ,)&R + 0!",3a%2)! + '"" +# +. K a4 * 7 b a*0 0 2K'% # " ' , 0 72K' !,+ 7Z*' * +# a!!2)/( "c"*.)` !1/'+ / (%)"K a9 [email protected]!#-$' 2) )% * deCG , + #*7 + `' *1)%#)'%#+0 ,!,0 # % !"J %!' #%"% + %.' !#- ) !&2)$#)#! \ : S #*% !,+#"/,"'# %!! # #,( '%" 7I 1/'.0&) #&%"%,0%5$% "&),' 9 ' # # ) M #*% ).0&) #&%"# 1!) :'.'*7 7I 2 #"/,"'# 2 )!00+)0 ' ' Z"%)'$ 2!'(%' !%  %%5$*0%. (" #/ + "% /# %% !' #!/%  # ! %"%% "  " .0&)9 )'' !,+ +# >GFEd>72'' ).0&)9 #"/$% %!1/'$+ )fG =<@^` %!2 #"/ 1!) :'.'**0%+#'%,#!%5$.0&)7 )!00+)0 !! a!)!  # #"/ ' g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abU ^`  0 0 2345 1 678693 3 5   "#$  &&  # ,. #$ & $ '"   ! %&$'&()*+-/0(' ( !1  '&$ &  & 2-1 $ 4 &&5 $6(&7 *82  &'%0$'$ # ,3&0$ # ,01 '& ' ..  9;< '$  &(  '#$  #'" : %0' %&&5'' 6!' %0&5&'$ !. & =! 9;?%''%0$'$  $&'$ " > '$   &&50$ #' !. 9;A & 5B!&( @ '' ' C   #$ "&D *E- F4 *48$&574 *+, <5' & ! $ 4 ,<1 . &1  ..    " 65&E-' &0!(&$  ! $ 'G ' 0$&  BH. 9;?%'I& %$  '&'$ " : '$  !  &5BH5$! #' !.  9;A &&''%0$'$  $&'$ "J > '$  &&50$ #' !C 9;K  & $ '(" @ '&H" &$ !C L $&M,N&54 &   ' ! %$ *4M&5 '5  ' ,-  G0 BH(&&I&   #7 .  5B! '$ &4-&(O 5$! &( &!%0 =&  " ( G . ' &!  ! &5   !.   9;A &&'0 "&(C : '$  !  9;3$& "&(!%0' '%0$'$  $&'$ " >  ! ! 1 '  &&50$ #' !. P 0$  #&(Q ST&0! 5H & &#&( E O !BH & R*4E 0$& &H( ' U #8Q ET V*8-. 9;A &I& %$ 0' " 6$ 5'!( : ' !  H ' ! ' ( # & C  9;K  & % $ W% > '6&% % &%& %C X%0H( '&''55&(8- %$ I& %$ Y   5H &!  #M  5' &' !   0$  .  '5'   5H 'BH1 #!BHA $ &H5'&5&  '    (  " $ 65&G-&( '# '%Z $3($ .,. !&$ ', ' $$& % ' [4\ & 9;A & I& %$'H5'C : '' !     9;O $ H &$ ! %$   5 # ]^` 5 > ( '&( #I&  !5'H( CZ _aA  # & # &  "H' !C ' &=6&5'! 5 ! $ !$\ X0''&5  '%&$  3($ .+O ' X  ' ' &H5'  H [4.    &$ & ,-  & & F4T5!'&0$ # EG0. '%0$'$ G,N&5' '' 0Q & $ 4. & !' 9;?%''&$  # &'0QbT5!'2 & : '$  6!' ' '(& $ F8 & G0. =  9;c0'&Fb *8 &A & '6!' ' 5' > 0 ' 8 20. ''  5$ !C =  X!(e( f 5' $5!  ! %$ . d 6$(56$(f 5( 0& W'I&   #+, H  S.  0$'(& 5!!1 "&( ,  R*4EA & '' ! $'&0'' !  g-&5    '5B!&( <& '0$ ' 0& f ' '  f$. FW' $&' W'  #' fh  #$ " '$! $  $5 ' )&5V!&(.   ' !. 6$0$ H1   3$' $'  !  5!! &( H' 5&5'$ $'&0'i  9;j)6$ $!k . : ' F FW' 9;jV6$ $!k . > ' F FW' Xj! 3($ [4 '&$' &$$#. 0& 0$'(&G1, l '$5 j.+ '&h'!&'O  & ',,,  #1 ''0$ 8+0#  '%0$'$ +8N. %'&' 'H $ $ E &&5'  & g-  ' S. B('0 7,*8G  5 9;A &&'! '&$'%0$'$1$&5'=!&(\' : '$ 5' # Z &0$1 $0 h  &'$'&'$ '$  " #0 ( %& !C 9;?$H&$&& &5De (&  &$'c&' 5&$%&' > & =5' m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` " ?AZ %( '&' "& %%" 3 "_'&%&" ( " a $%"&&"% < '<!;").  '  ) +"8' ') &)"^ ;  &"%3& " & '!  _3,;-/\] ));') 8'  8+"!)< "(&. b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a      R Z )  ("[\^`b- ! Y !" (K ' #c !    " $$d !  ! *   S #e    g ! ) *) $$f)!  *' ' !   !  S ( !)" Z !  #h *!   ( i !+) ""  $$0  )Z !!  ! ,-.j-   k g !!  )  )" 124678#% 35 $ 02 1 3456 7897 4 4 6     !# &("+,%./%.(%02 /. !"(5 %#%127%89; (%>)/  "$%')* - #-& / 1234 *5/ /&5 / 06 ! :<=5; % ( & -&*/ @((A(%/#) - %(( ."5 5/ B/3./.,%.=(.C ?.  ?. / (%%8:275/%.5E%F G02%8&%.%8*%(" !HE# [email protected]!%1=5 ! 16 (#-& / ; ! .-( B/(),!5 5B. ! IJ<<J) ..-#"8/! # :9=5 ! 26 ;; .#*5.*!5"(%.9; (%%8K27; 5 LN / %%E.,5 /.O(("+ "$CP?),$B)5 ) " ../8 M ,)/!& & ) #/)*(3# " * (/.Q,8Q*.C & LN>)/# ) . .%B.=.(#S! * B .5 .5!0 R %%././$=#/#S#(B.%8T%)!$U#!#E" C    ...
View Full Document

This note was uploaded on 03/31/2011 for the course ME 120 taught by Professor Dr.lhan during the Spring '11 term at Sir Syed University of Engineering &Technology.

Ask a homework question - tutors are online