Document with Encoded Text, Exercises of Relativity Theory

An encoded text that appears to consist of a mixture of alphanumeric characters and symbols. It is unclear what the encoding scheme is or what the content of the document is. It may be relevant to computer science, cryptography, or information security studies.

Typology: Exercises

2019/2020

Uploaded on 01/28/2020

unknown user
unknown user 🇳🇷

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
 !"$#%&'(#)
*
+,-$#.0/
1325476983:<;>=?36@8BAC;D8(EFAG:>H'83IJH<K<8MLCH'IN8MOQPRHS==88(TFHSIR?CUPNLV83LXW9;>PRHS6VH:<AY=HSIR?BK:<PR6CZ
US=>?F6VPR[\83LV?]US?36^AV6_?F`a:>HS=Tb8FLC?3=c;>H\=>=H\:<;>=H3deEfAVPRHS6^?3`a:>HS=Tg8hIR?F:iLV?F:j=HSIR?BKkH\:j:>PlZ
m
AVIJ;@n8B6aH\8
m
H\6F;HoU?F6,AV6X;HSIRH\:U[email protected]HjIRHSHoUA@8B6aLC?H\I"83:<;>=?36a83AC;8sIRHSHiAV6a8
t
?3=D8Fu
vsw0xSy{zrw0x\|\}j~
?PNLCH\83IVH\:"LCHa6aPJ=IR?F:{H\T3H\6F;?F:eLCH7P
m
p?3=>;8B6@UPN8.H\IRAVHSF?U?360TFHS=>Z
;PJ=IR?F:8pa8B=>;>PR=LCHjIR8F:);>=D8B6a:<?3=
m
83USPJ?F6VH\:)LCHj?3=HS6f;>[j8Bpa=>?FpVPR8FLV83:\20P":>HpaAVH\LCH
8
t
?3==D8B=;=83`a8gKk?]8,;>=D8bT"nH\:LVHIR?F:jUS?36aUSHSpC;?F:jLCHs;>PRH
m
p@?Ypa=>?FpVPJ?,9LCH
m
8F:<H$:Sd
m
H<Kk?3=$2f.:\n
d0UAa836aLC?H\I8F:k;=>?F6a8BAV;8);>PRHS6aH.AV6@8
t
?F=8
m
H$LCPRLa8sk@1b@dFH$:k;n8H\6
Aa6a8op?F:>PRUSP\n?F6 adapVAVH$:7:>H
t
8bf8j:<H\6F;D83LC?'HS6(HSI?3=PR3HS6(LCH\Ir:>PR:<;>H
m
8oLCH=HZ
H\=>H\6aUPN8V27Hc83EfAn
p?CLCH
m
?f:%8BpVIRPNUS8B=
~
?3=HS6f;[`V=>AV;8BI
m
HS6f;>Hc:<`V=HHSIrHSTFHS6f;>?M;\
1
t
dC)FdC'HS6aUS?36f;>=D8B=EfAVH
e
f
k1$
?:>H\8ad$^k¡230P
m
pVIRHLCPRIR8B;83USP\n?F62B0PR6cH
m
`a83=>F?adbLCHS`H
m
?F:{US?36a:>PRLVHS=D8B=HSI0;>PRH
m
Z
p?hEfAVHj;D8B=DLV8IR8IRAV[oH\6XIJIRHSf8B=8BI?BKk?(LCH\I"?3`@:<H\=>Tg83LV?3=$2@¢H\:<;>?(H\:<;@n8(LVPJ=H\U;8gZ
m
H\6F;H=>H\IR8FUPR?36a8FLC?cUS?36'IN8cp@?f:<PNUP$n?36LCHSI8F:k;=>?F6a8BAC;D8V20£6sHSI:>PR:<;>H
m
8;>H\=>=H\:<;>=H3d
H$:k;H);>PRH
m
p@?i8FLCPRUSPJ?F6a8BI¤T0PJH\6VH)La83LC?p@?F=¤'¥3¦
LC?36@LCH¥H\:-IN8p@?f:<PNUP$n?36LCHSI
8F:k;=>?F6a8BAV;8)8BI
m
?
m
HS6f;?LVH
m
H$LCPR=eIR8
t
?F=8a2B%pVIRPRU\8B6aLV?)60AVH\Tg8
m
HS6f;>HQIN83:;=836a:kZ
?F=
m
8FUPR?36VH$:Sdb;HS6VH
m
?f:"EfAVHH\IaHSTFHS6f;>?ik¡§FH$:HS6jIN8;>PRHS==D8e¨k§>¥¨WakR
p?3=IR?oEfAVHHSI;PJH
m
p@?j;?B;83IH\:
©
¨
F

¨
«ª
1
1¬
¡3
C25476a8i6a8bTFH:<Hc8BIRHkK<8oLCHIR8j;PJH\=>=D8i8jT3H\IJ?CUSPRLV8FL®o¯a§ °
2±A@8B6aLC?o:>HH\6aUAVH\6f;>=D8
8Aa6a8(LCPN:k;D8B6aUSPR8(²,³V§ ³3³´91$3µS¶0·]d:>HiIJHiH\60Tn
8AV6a8(:>H0¸6@8BI"LCHi=D83LVPJ?(LCH$:>LCH
IN8;>PRHS==D8V2r±A%n836F;?;83=LV8H\6YIJIRHSf8B=IN8(:<H0¸6a8BI«d
m
H\LCPNLC?MH\6X8
m
`?F::>PR:<;>H
m
83:LCH
=HH\=>H\6aUPN8Fu)±A%n8BIaH\:eIN8p@?f:<PNUP$n?36jLCH%IN86a8bTFHQUSAa8B6@LC?=>H$UPR`@HIN8:>Hf¸6a83I¡dgH\6o8
m
`?F:
:>PN:k;H
m
83:LCH=HH\=>H\6aUPN8Fu
vsw0xSy{zrw0x\|\}¹
£"6jHSI@:>PN:k;H
m
8LCH%=HH\=>H\6aUPN8LCH%IN8);>PRHS==8adBH\:
m
AVj:<P
m
pVIRH32FºQ8F:k;D8
US?36MPR3A@8BIN8B=%IN83:7H\UA@83UPR?36aH\:o»LCH
m
?gT0P
m
PRHS6f;>?9»7LCHSI{U?
t
H;HLCHSI=D8b3?oLCHcIJAV[
EfAVH:8BIRHLCHIR8;PJH\=>=D8Vd0?i:>H\8
S¼
e½²
®
¼
¾F
1
pf3
pf4
pf5

Partial preview of the text

Download Document with Encoded Text and more Exercises Relativity Theory in PDF only on Docsity!

1 325476983:<;>=?36@8BAC;D8(EFAG:>H'83IJH<K<8MLCH'IN8MOQPRHS==8 8 (TFHSIR?CUPNLV83LXW9;>PRHS6VH:<AY=HSIR?BK :<PR6CZ

US=>?F6VPR[\83LV?]US?36^AV6_?Fa:>HS=Tb8FLC?3=c;>H\=>=H\:<;>=H3deEfAVPRHS6^?3a:>HS=Tg8hIR?F:iLV?F:j=HSIR?BKkH:j:>PlZ m AVIJ;@n^8 B6aH\8^ m H\6F;HoU?F6,AV6X;HSIRH:U[email protected]A@8B6aLC?^ H\I"83:<;>=?36a83AC;8sIRHSHiAV6a t?3=D8Fu vsw0xSy{zrw0x|}j~ ?PNLCH\83IVH:"LCH€a6aPJ=IR?F:{H\T3H\6F;?F:eLCH7P (^) m p?3=>;8B6@UPN8.H\‚ƒIRAVHS„F? U?360TFHS=>Z ;PJ=IR?F: 8 pa8B=>;>PR= LCHjIR8F:);>=D8B6a:< †?3= (^) m 8 3USPJ?F6VH:)LCHj?3=HS6f;>[j8Bpa=>?FpVPR8FLV83:\2‡0P":>HˆpaAVH\LCH 8 t?3==D8B=;=83`a8gKk?]8,;>=D8bT"nH:ƒLVHIR?F:jUS?36aUSHSpC;?F:jLCHs;>PRH (^) m p@?Ypa=>?FpVPJ?,‚9LCH (^) m 8 F:<H$:Sd m H<Kk?3=$2f‰.:\nŠ^ d0UAa836aLC?ƒH\I8F:k;=>?F6a8BAV;8);>PRHS6aH.AV6@8^ t ?F=8^ m H$LCPRLa8s‹ŒkŽ@1b‘@’dFH$:k;n^8 H
Aa6a8op?F:>PRUSP\n?F6 “ Ž •”adapVAVH$:7:>H t 8 b‚f8j:<H\6F;D83LC?'HS6(HSI?3=PR„3HS6(LCH\Ir:>PR:<;>H (^) m 8 oLCHƒ=HZ

†H=>H\6aUPN8V2–7Hc83EfAnŠ p?CLCH (^) m ?f:%8BpVIRPNUS8B= ~ ?3=HS6f;[ V=>AV;8BI (^) m HS6f;>Hc:<V=H HSIrHSTFHS6f;>?M‹†;\— 1 t dC˜—™)”F’dC‚'HS6aUS?36f;>=D8B=šEfAVH

œ›e‹†Œ Žfž Ÿ “ Ž’ ‹k1$’

? :>H\8ad$Œ^› ŒkŽ¡23‡0P (^) m pVIRHšLCPRIR8B;83USP\n?F62B‡0PR6cH (^) m a83=>„F?adbLCHSH (^) m ?F:{US?36a:>PRLVHS=D8B=HSI0;>PRH (^) m Z p?hEfAVHj;D8B=DLV8 IR8 IRAV[oH\6XIJIRHS„f8B=8BI?BKk?(LCH\I"?3`@:<H=>Tg83LV?3=$2@¢H:<;>?(H:<;@n 8 (LVPJ=H\U;8gZ m H\6F;H=>H\IR8FUPR?36a8FLC?cUS?36'IN8cp@?f:<PNUP$n?36LCHSI8F:k;=>?F6a8BAC;D8V20£6sHSI:>PR:<;>H^ m^8 ƒ;>H=>=H:<;>=H3d H$:k;H);>PRH (^) m p@?i8FLCPRUSPJ?F6a8BI ¤T0PJH\6VH)La83LC?ˆp@?F=š¤'œ¥3¦

LC?36@LCH¥ƒH:-IN8ˆp@?f:<PNUP$n?36LCHSI 8 F:k;=>?F6a8BAV;8)8BI (^) m ?m HS6f;?LVH (^) m H$LCPR=eIR8 t ?F=8a2B‰%pVIRPRU\8B6aLV?)60AVH\Tg8 (^) m HS6f;>HQIN83:;=836a:kZ

†?F= (^) m 8 FUPR?36VH$:Sdb;HS6VH (^) m ?f:"EfAVHšH\IaHSTFHS6f;>?i‹ŒkŽ¡§”F’H$:HS6jIN8;>PRHS==D8ˆ‹Œe¨› ŒkŽ§>¥ ¨Wa› ŒkŽR’ p?3=šIR?oEfAVHHSI;PJH (^) m p@?j;?B;83IH:

© ¨›Œ ŽF

C25476a8i6a8bTFH:<Hc8BIRHkK<8oLCHƒIR8j;PJH=>=D8i8jT3H\IJ?CUSPRLV8FL®o¯”a§ °

2 ±A@8B6aLC?o:>HH\6aUAVH\6f;>=D 8 Aa6a8(LCPN:k;D8B6aUSPR8(²,³V§ ³3³´91$”3μS¶0·]d:>HiIJHiH\60TnŠ 8 AV6a8(:>H0¸ 6 @8BI"LCHi=D83LVPJ?(LCH$:>LCH IN8;>PRHS==D8V2r±A%n 8 36F;? ;83=LV8H\6YIJIRHS„f8B= IN8(:<H0¸ 6 a8BI«d (^) m H\LCPNLC?MH\6X8 (^) m ?F: :>PR:<;>H (^) m 8 3:LCH =H †H\=>H\6aUPN8Fu)±A%n 8 BIaH\:eIN8p@?f:<PNUP$n?36jLCH%IN86a8bTFHQUSAa8B6@LC? =>H$UPR@HšIN8 :>Hf¸ 6 a83I¡dgH\6o8 (^) m `?F: :>PN:k;H (^) m 8 3:šLCH =H †H=>H\6aUPN8Fu vsw0xSy{zrw0x|}¹ £"6jHSI@:>PN:k;H (^) m 8 LCH%=H †H=>H\6aUPN8 LCH%IN8);>PRHS==8adBH: (^) m AV‚j:<P (^) m pVIRH32FºQ8F:k;D US?36MPR„3A@8BIN8B=%IN83:7H\UA@83UPR?36aH:o»LCH (^) m ?gT0P (^) m PRHS6f;>?9»7LCHSI{U? t H;Hƒ‚ LCHSI=D8b‚3?oLCHcIJAV[ EfAVH:8BIRH LCHIR8ˆ;PJH=>=D8Vd0?i:>H
Ÿ S¼ Œ e½²  ®

Œ ‹¾F’

p?3=šIR?oEfAVH ¼ Œ "

f’

‚sp@?F=šHS6aLVH3dVIN8ˆp@?f:<PNUP$n? 36 LCH IN8c6@8bT3H)HS6 H:<;>H:>PR:<;>H (^) m 8 cH$:

Ÿ\¼ Œ "

EfAVH)H:-IN8 (^) m PN: (^) m 8 cLCH.IN8ˆ:<H0¸ 6 a8BIUS836aLC?ˆ:<H"KkAV6f;8B62V‰ t ?F=8adFH\6'HSI:>PR:<;>H (^) m 8 cLCH)=H †HZ =HS6@UPN8.LCH-IN876a8bTFH3d$p@?CLCH (^) m ?F:r;>=D8B6a:< †?3= (^) m 8 B=:<P (^) m pVIJH (^) m HS6f;>HQIR?F:rHST3H\6f;>?F:8B6f;HS=PJ?F=>H$: US?36 ~ ?F=>H\6F;[32e83=8ƒHSI;PJH (^) m p?adV;>HS6aH (^) m ?F:%EfAVHH\IHSTFHS6f;>? ‹

<’šH:

ŒŽœ›e‹

Ÿ ’ ‹³F’

‚œU? (^) m ?GIR8X6@8bT3H(H:'HSI.?3=PJ„FHS6¨LCHSI):<PN:<;>H (^) m 8 YIR?CUS83IJPR[\8FLC?YHS6¨H\IJIN8Vd-:<A¨p?F:>PRUSP\n?F :>PRH (^) m pV=H)H$:š“@Ž ¨”a2V£6 6 .nA (^) m HS=?F:\d

Œe131F§l1 ´]1\” ‚

ŒkŽ@½¾V§ c´]1\”  32

¾V2 ‡CAVp@?F6V„F8hAV6_U\8B==>PJ;>?,U?369AV6GH:>pHkKk?]HS6GIN8Mpa83=<;Hs:>AVpHS=PJ?F=c‚XAV6a8M †AVHS6f;HsH
IN8GPR6C †H=>PR?3= :<H\pa8B=D83LV?F:ip?3=AV6a8_LCPR:<;836aUPN89²@dšEfAVH,:>H (^) m AVHSTFH,U?F6 T3H\IJ?CUSPRLV8FL W  W“2£6HSIPR6a:<;8B6f;H PJ6VPNUPN8BI«dVIN8c †AVHS6f;>HƒH (^) m Pl;H AV6(LCH:<;>H\IJIR?oEfAVHH:š=H@HkK<83LV? H\6YHSIH:>p@H<Kk?(‚,T0AVH\IJTFHo8 HSIRIR8a2‰%pVIRPNUS8B6@LC? ;>=D8B6a:< †?3= (^) m 8 3USPJ?F6VH: LCHiTFHSIR?CUPNLV83LCH$:Sd U\8BINUAVIRHšHSIa;>PRH (^) m p?ƒEfAVHš;83=La8.H\6iPJ="‚cTF?3IRT3HS=eH\6jHSI@:>PN:k;H (^) m 8 HS6i=HSp?F:>?@‹† †AVHS=D8LCHSI U\8B==>PJ;>?0’d:<AVp?36aPJH\6aLC?sEfAVHcHSI{pVAVIN:>?sLCHcIJAV[cH:.AV6a8'pa8B=>;$nŠ UAaIR8oEfAVHˆ:<H (^) m AVH\T3Hƒ IN8jT3H\IJ?CUSPRLV8FL'LCH IN8ˆIJAa[ vsw0xSy{zrw0x|}¹ {?CLCH (^) m ?f:;>=D8B6a:< †?3= (^) m 8 B=QIR8jTFHSIR?CUPNLV83LsLCHSIr=8b‚F?cLCH IRAV[3d@EFAaH HS6 HSI :>PN:k;H (^) m 8 'LCH\IU\8B==>?iH$:%®0Žr

(^)  8 3I:>PR:<;>H (^) m 8 iHS6M=HSp?F:>?a2£6f;>?F6aUH$:Sd@8BpVIRPRU\8B6aLV?oIR ;=836a:< †?3= (^) m 8 FUP$n?36LCH T3H\IJ?CUPNLV8FLCH:QEfAVH\La

0Ž  W 



W

 œW ‹ B’

 1 š¬]W

 ¦



1  ®Ž W¦

‹°F’

 ?B;H:>HEFAaHHSI n (^) m ?fLCAVIR?oLCHIN8jT3HSIR?CUPNLV83L:>PJ„FAVH:<PRHS6@LC?n

2 ±? (^) m ?iIN83:7LCPR:<;836aUPN83: TFHS=>;>PNUS83IJH$:e6V?ƒ:>H7U?F6f;>=D8BHS6dBHSIa;>PRH (^) m p@?cEFAaH%;83=La8HSIa=D8b‚3?H\6i=>HaHkK<83=:>Hš‚cTF?3IRT3H= H$:7g¤d@LC?36aLVH ¤ o



F’

a25–.?F:6@8bT3H:):>H (^) m AVHSTFHS6,US?36]IR8 (^) m PR: (^) m 8 'TFHSIR?CUPNLV83LhHS6X:<H\6F;PRLV?F:)?3pVAaH:<;>?F:\2 –7H$:kZ LVHoAV6Y:<PN:<;>H (^) m 8 (LCHi=H †H=>H\6aUPN8HS6X=HSp?F:>?(‡d ~ 8 6a8bTFHi‰!T0PR8BK<8US?36XT3H\IJ?CUSPRLV8FL ®Y•¬

¦B ‚oº US?36s®9

¦ (^3) dC‚o:<H t 8 3IJIN8B6':>HSp@8B=D83LV8F:"H\6'HSIH<KkH.“ p?3=QAV6a LVPR:<;836aUPN8j²a2a£"6'H\IPJ6@:k;D8B6f;>HHS6 EfAVH);>PRHS6VH\6 IR8 (^) m PR: (^) m 8 ˆp@?f:<PNUP$n?36sHS6˜dVLCH:LCHHSI :>PN:k;H (^) m 8 jLCH=>HS †HS=HS6aUSPR8j‡ dCIN8c6@8bT3H"!•H\60TnŠ 8 ƒAV6sp@83EfAVH;HIR8c6a8bT3H$# U?F6sTFHSIR?0USPlZ La83L(U?F6(T3H\IJ?CUPNLV8FL&% •¾0¦'

‹=>H\IR8B;>PRTb8i8s‡V’2)($‰ EfAQnHYn 8 36V„3AVIR?ad@LCH:LCHIN8i6a8bTFH ‰ LCHSHj:<H\=7HS‚FH\U;83LV?iHSIpa83EfAVHS;>Hpa83=8':<H\=7=H\UPRVPNLC?op?3=)ºQu*($£6MEfAQnHGn 8 B6V„FAVIR?

‰t?3=D8VdC=H:>pH\U;?i8BI:>PR:<;>H (^) m 8 )7dC;>=D8B6@:k †?F= (^) m (^8) m ?f::>P (^) m pVIRH (^) m H\6F;H3dV?F`C;>H\6VPRHS6aLC?

% ^ ŽŽ 

^1 '

<1\³F’

% ^ ŽŽ ½” ‹<1' B’

p?3=šIR?oEfAVH Ž Ž  ” ‹ <1\°F’

 C25476,:>PR:<;>H (^) m 8 oHS6h=>H\p@?f:<?oH (^) m Pl;HcLC?f:7pVAaIR:>?F:7IJA (^) m PR6V?F:>?F:7HS6,ŒQ”o‚Œ%¯¤2‡0P‡ — H$:AV6Y:<PN:<;>H (^) m 8 EfAVHi:<Hi83IJH<K<8sLCH'‡,U?F6,TFHSIR?CUPNLV83LhWrd ($UA7n 8 BIH$:.H\IPR6F;HS=Tg8BIR?LCH ;PJH (^) m p@?iH\6F;=>HIN8j=>H$UH\pUSP\n?F6LCHH$:k;?F:šLC?f:QpVAVIN:<?f:QHS6M‡ —«u vsw0xSy{zrw0x|} £6(‡ dVIR?F:-;PJH (^) m p?F:7LCH =>H$UH\pUSP\n?F6:>?

Œ ½” ‹<1F’

‚ Œ^  

W@¤

¬]W

«B”F’

:>PQH:ˆEfAVH t 8 FUH (^) m ?f:;=8 (^) m pa8M‚Y:>AVp@?F6VH (^) m ?f:cEfAVHp@?f:<H\HS6GH\I (^) m PN: (^) m ?]?3=PJ„FHS6GLCH US?0?3=DLCHS6a8FLV83:\2a£"I;PJH (^) m p?Œ  :>HcUS83IRUSAVIN8':>P (^) m pVIRH (^) m HS6f;HcU (^) m ?sIR8'PJ6f;>H=:>H\U\UP$n?36MLCH IN83:r;=8b‚FH\U;?3=PR8F:Sd\H:>?.H$:e:>83`VPNLC?a2$¢ 8 t?F=8%;>=D8B6a:< †?3= (^) m (^8) m ?F:\2B±Aa8B6aLV?.H\IV:<H\„3AV6aLV? paAVIR:>?iIRIJH\„F8ˆ8j‡—JdVIN8jp?F:>PRUSP\n?F6LCHH$:k;H TfPRHS6aHLa83LV8ˆp?3=š“

Œ 2 V‰.:$nŠ d

ŒŽ^  ¨›e‹†Œ  ¬

W

 ¤ Ÿ ‹

]W ’

«C1$’

IR?oEfAVHH:QpV=n 8 3U;>PNUS8 (^) m H\6f;>HIR8c Bn?F= (^) m AVIR8jLCH\IH †H$U;?j–.?3papVIJH=\

³V2 ±-83IRUSAVIN8B=IN83:US?3==>H$USUSPJ?F6VH:8QpV=P (^) m H=‚:<H\„3AV6aLV?š?3=DLCHS6HS6 

pa83=8QH\IFUS?3==>P (^) m PJH\6F;? LVHšIR8. †=H\UAaHS6aUSPR8LCHQIN8.H (^) m PR:>P\n?F6d38)pa83=<;PJ=eLCHšIN8)6VHSAV;>=D8BIRPJ[$83UP$n?36ˆLCHQpV=?B;>?F6VH: 8 FUH\IJH=8FLC?F:HS6 AV6p@?3;>H\6aUPN8BILCHƒ3”F¶%ˆ2 :>H\8Vd0IR?F:QpV=?B;?36VH$:Q:<H (^) m AaHST3H\6s8ˆAV6a TFHSIR?CUPNLV83L_EFAaH LVHSpHS6aLCHMLVHSIšp?B;>H\6aUPN8BIš‚G:>H HS6VIN8B[$8B6^U?36^AV6^HSIRH\U;>=n?369p@8B=D „FHS6VH=83={AV6œn 8 g;>? (^) m ?)LCH t PRLC=n?3„FHS6V?@2g£6ˆH:>H-pa=>?CUH$:<?)H:{p?F:>PR`VIJHQTFHS=eIN87 †=H\USAVHS6@UPN H$:<pH\U;>=D8BI   dVLCHIR?36V„FPl;AaLsLVH)?F6aLV8 ' F°F³V13§ ¾3¾!•EfAVH :>H (^) m ?CLCPJ€@US83=@n 8 cp?3=QIR TFHSIR?CUPNLV83LLCH IN83:Qpa83=<;bnŠ USAVIN83:\2 ’Q–.8B;>? V·

  3¾F³ % vsw0xSy{zrw0x|} ‡CPšHSIQp@?3;>H\6aUPN8BI-H:jLCH(B”cd{HS6f;>?F6aUH$:cIN8MH\6VHS=„nŠ 8 MLVHSIQpV=?B;@n?F :>HS=n 8 MLCH(B”Hƒ2e‡0AVp?36@LC=>H (^) m ?F:cp@?F=c8 t ?3=D8MEfAVH'IN8MH\6VHS=„"n 8 (H$:ƒIR?h:>AC€@USPJH\6F;HZ m H\6F;Hšp@H$EfAVH0¸^6 a8US?^ m ?.p@8B=D87?F`C;>H\6VHS=eIN8)T3HSIR?CUPNLV83LcLCH:LCHš83EfArnŠ^ US?^ m ?IR8.HS6aHS=„@nŠ^8 USPJ6QnH;PRU\8V2V£6f;?36aUSH:\d 

 ‹«33’

‚sp@?F=šHS6aLVH3d ® Ÿ 

  ·

 (^) ¨”a§ ”F”3³  ‹«B¾F’

–.H(83EfAnŠ d{p@?CLCH (^) m ?F:ˆH˜Cpa836aLCPR=ˆH\6^:>HS=PRHsIN8]IJ?F6V„3PJ;>AaL_LCH ?36aLa8,8]pa83=<;PJ=iLCHIR HS˜CpV=>H$:<P$n? 36 LCH\IH †H\U;>?o–.?3pVpaIJH=%U? (^) m?

   ‹« f’

LVHLC?36aLVH:>H pVAVH$LCH ?3`a6F;HS6VH=QIR8iUS?3==>H$USUP$n?36s8cpa=>P (^) m HS=š?3=DLCH\6US? (^) m? ¼ ^  ž ½¾V1F§^ °!^ ‹«^ 3’ ‚ ¼  

 ½”V§J1 ! ‹«B³F’

025476 &a?F=>PNLV836V?oH:)U=AV[$8'U?F6M=?BKk?oP (^) m pVAV6VH (^) m H\6f;>H32n 8 F:%;D8B=DLCH3d 8 BIRHS„f8iPR6V?CUHS6@UPN LVPRUSPJH\6aLC?'EfAVH T0PR?iIR8iIRAV[ =?BK<8 ‹( ³3”·(’-U? (^) m ?iTFHS=DLCHo‹  B”f’QLCHSaPRLC?o IR?F:"H †H$U;>?f:=HSIN8g;PJT0PN:k;D83:LCH.:<AiTFHSIR?0USPRLa83L2 ($£:p?F:>PJVIRH%H$:k;?fu (\‰ EfA-nHšT3H\IJ?CUSPRLV8FL PRa8i83I (^) m ?m HS6f;>?iLCHUS=>AV[$8B=u vsw0xSy{zrw0x\|\} (^) ‰%IPR=Q8FUH\=Un 8 B6aLC?f:<H.8ƒIN8c †AVHS6f;>H LCH)IRAV[3dCH$:-USIR83=>?ˆEfH)H\I ?3a:>HS=Tg83LC?F= TFHS=n 8 MAV6@8M †=H\USAVHS6aUSPR8 (^) m 8 b‚3?F=cEfAVH IR8h †=H\UAaHS6aUSPR8½»<HS6_=>H\p@?f:<? V2 {?3=ˆIJ?,;836f;>?ad US? (^) m ?MIN8 †=H\UAaHS6aUSPR8(LCH\ITFHS=DLCHiH: (^) m 8 b‚3?3=cEFAaHoIR8hLCHSI=>?3Kk?ad:>A98B=„3A (^) m H\6f;>? H: paIR83Aa:<PRVIRH HS6pV=PJ6aUSPJpaPJ?@2a‰ t?F=8adC8BpVIRPRU\8B6aLV?j–.?3papVIJH\=%8ˆIJ?iV=AC;?adC=H:>AVIl;D

 1

ž^1 š¬^ ž ‹«^ B’

‚LCH 8 3EfAnŠ p?CLCH (^) m ?f:šU?36@UIRAV=%EfAVH

 ¬ ]®

  ®

  ®

 

V§R1' ‹«B°F’

p?3=šIR?oEfAVH :<A TFHSIR?0USPRLa83LoH$:š®ˆ½”V§J1'

 ˆ´,1$”·M¦

°V25–.?F:{H$:k;=>H\IJIN83:{‰œ‚ƒº9:<HQAV`VPNUS836cIN83:eLVPJ=H\U\UPR?36VH$: (^)  ‚“i=>H$:<pH\U;>PRTg8 (^) m HS6f;>HF2F±-8BINUACZ IN8B=7IR8ˆT3H\IJ?CUSPRLV8FL LCHº H\6H\Ir:>PR:<;>H (^) m 8 ˆ‰ :<PH$:%EfAVH IN8jIJ?F6V„3PJ;>AaL LCH‰ :<H (^) m AVHSTFH Aa6]1 t 8 3USPR8ˆH\I=>?3Kk?c‚sIR8jLCH º)d t 8 3USPR8ˆHSIr8B[SAaI¡ vsw0xSy{zrw0x|} {?CLCH (^) m ?f:US?36aUSIJAVPF=@n 8 3pVPNLV8 (^) m HS6f;H"EfAVH87H:<;>=HSIRIR8%‰_:<H"H:<;@n 8 783IJH<K<8B6aLV? LVH7IN8;>PRHS==8‚jEfAVH7ºœ:>H%H:<;@n 8 8FUH=U\8B6aLC?@2F±?36iH$:k;?ad3p?CLCH (^) m ?f:"8BpaIJPNUS83="–7?FpVpVIRHS= p@8B=D8ˆU\8BINUAVIN8B=š:>Aa:QT3H\IJ?CUSPRLV8FLCH:\2e8B=D8ƒ‰ƒd

@ŽN¦ 

$”V1g¦01\”F”) ª

«F’

–.H83EfArnŠ d

ž

 ]

 ¬



Ž

 

  ¨”a§ ”F”  ‹¡¾3”F’

‚spa8B=D8ˆº.d @ކ¦ 

 3³f¦C1\”F”) ª

¡¾V1$’