CdL in Matematica - Tutoraggio di Fisica II Esercizi svolti in ... - INFN
CdL in Matematica - Tutoraggio di Fisica II Esercizi svolti in ... - INFN
CdL in Matematica - Tutoraggio di Fisica II Esercizi svolti in ... - INFN
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
^<br />
¥§¦©¨ ¥§! ""¥§#¡$¥&%'¥)(¥)+**<br />
¢¡¤£<br />
(--¥).-¥/(102"34¥¥§¦©-3)!((<br />
,<br />
6¥§7(81¥§9¦: 5<br />
F`T>EbacBWKJM/FHM/FH>dILFfeZYgKhECeHB$eNBW>&DFN>GhEbIi^ Y<br />
;@ACB$DEFHGJILKJFNM&EOPFQRFSDEACT>UWVFHXNXZY\[]_^<br />
’“KL”h•:K ¢ ©$Ç’cÈjÉ-ÊhË„Ì — ”2}‚FNKSK$½ÄÌ${ Å ’“KL”h•©$Ç’cÈjÉ-ÊhËLK ¢ ”®}~FHKSKNÍ`Ì_{ÂlÉ• "Î WoÈ£<br />
ÆÅ<br />
¡ &eHMÓF|Ñ ¢ •+[j@eNM<br />
Ï8eNFH>tIhKhEbe„VFoDE-KLYgUWUWECB/Ñ_ÒS•<br />
ACEC>FZYjKJFlkmonpeHFNAqILBreNBj>tsjFN>EbFN>dILFHM/FH>dILF&T>uGhECG§ILFHMYvDEwYjGhGJEweZYjK§ILFHGhExYg>E!yFrzi{eZYgACeNBjAxYjKJF|ACF<br />
eNBWM&}~Bj>FN>dILE6f€:FHDvfSDFNA6eNYjM/}‚B$FNAbFHIhIhKhEbeNB$UWFN>FNKLYiILB|DYjAACB_EC>&T>&}T>dILB|ƒ{1Y$DECG§I„Yj>XNY<br />
… DYgA8ACB@F:I„YgACF¤e„VF_ECA8GJFNUWM&FN>dIhB †ˆ‡‰acBWKhM&EŠT>‹Yj>UWBWACBlDE-ŒWWŽfeNBW> ECA~ACBm<br />
v’“ƒ”`• – d‘<br />
’ › œ —)cž4Ÿ›pž¤ `¡ { ¢ œ —)cž4Ÿ›pž ”)£<br />
—4˜Zxš)›<br />
… •m ¡ M¦VY&DFN>GhEbIi^ Y/DE-eNYjKhEbeZY@}KhBW}‚BWKJXNECBj>YjACF$YgACAxY<br />
¤8Y/G§acFNKhY/eZYgKhECeNY&DE¥KhYjUWUWEbB<br />
F$DE ¡ 1«1¬ˆm‚®YjAbeNBWACYjKhFg¯<br />
DECG§I„Yj>XNYr§oDYjAeHFN>dILKJBm¨¥Y@eZYgKhECeNY|ILBjILYjACF_©ªDFNAbAxYoG§acFNKLY'^<br />
A²±³FNGJ}KhFHGhGhEbBW>F¢DFNA|eNYjM&}~B´FNACFµIhIhKhECeHBUWFH>FNKhYgILBDYjACACY·G§acFNKhY¸EC>¹acT>XNEbBW>FºDE§·}~FHK<br />
°<br />
¼½ ¾À¿ r»<br />
AxY_DEbÁ~FNKJFN>XNYoDEŠ}‚BjILFH>XNECYjACFˆÂoÃÄILKhYoT>r}T>dILBl}‚BWG§ILBlGhTACAxY_GhT}‚FNK§eNEbF¤DFNAbAxY|G§acFNKhYoF<br />
°<br />
ECA~eNFN>dIhKhBDFNACACYoGJacFHKLYm<br />
Y\T>EbacBjKhM&FÕ&•Ö[j×pmÙØjÚpÛ ¡ 1«1¬®fÇgM&ÜZm!Ý:FHIhFNK<br />
FˆDEbGJILKJECÔTEbI„Y$T>Y\eZYjKJECeZY_FNAbFHIhIhKhEbeZY$eNBW>vDFN>GJEbIg^<br />
M/Eb>YjKhFSAÞ±ßFHGh}KJFNGhGJECBW>FˆDFHA~eNYjM/}‚B|FHACFµIhILKJECeHB@àˆáâ§âã¤Eb>/acT>XHECBW>FDFHACACY_DEbGJILYj>XZY&§\DYjA6eNFN>dIhKhB<br />
DFNA:GJECG§ILFNM/YmänpFåT>PFHACFHIJILKJBW>F‹s1ECFH>FuYjÔÔYj>DBW>YgILBæGJTACACYºGhT}‚FNK§eNEbFåFNG§ILFNKJ>Y{ç1TYj>dILB<br />
YgIhIhKLYZsWFHKhGhYjKhF_AxYoeNYès1EqIg^ YlEC>dILFHKh>YWé<br />
ILFNM&}‚B&EbM/}ECFNUWYoYjD<br />
ÆÅ ’“KL”h•À¤}‚FNK9Kf½¸Ì:Òµ{ Å ’“K„”J•¹Õ‚’“KJÜ ÌSÜÒ ”JÇ Î ÊhËL¼ ¢ }~FHK"Ì:Ò"½SKN½`Ì ¢ { Å ’cK„”h•PÕ‚’ÞÌSÜ ¢ ÌSÜÒ ”hÇ Î ÊhËL¼ ¢<br />
}~FHKfKNÍ`Ì ¢ {I:• ÎWÎ mëêo>GJ£
^<br />
í`-2¦:¡¤+(p8p¥J9¦:<br />
Y{6KhEbGh}‚FHIJILEbsgYjM&FN>dIhFj{‚2îuFo®ïR• Î 2îRmfQ<br />
;DTpIhILBjKhE-OäF\QPVYj>>B/eZYj}YjeNEqIg^<br />
Y<br />
Y<br />
ì EbUWTKhF ¡ ¯<br />
F&eNYjKhEbeNB'eNBj>ºeZYgKhECeNY ©¤î·• ¡/ð ˆmñDTF&eNBW>DTIhIhBWKhE<br />
F&Eb>ECXHExYjAbM/FH>dILF|GJeZYjKJECeHB{-M/FH>tIhKhF&OÓ^<br />
sWFN>UWBW>Bò}‚BWG§ILE"Y‹eNBW>dILYgIhIhBmòn1TeNeHFNGhGJEbsgYjM&FN>dILFg{!sWFN>UWBW>Bò>tTBèsgYjM&FN>dILFGhFN}YjKLYgIhE²m‹©:TYjACF<br />
eZYjKJECeZYlGJE8ILKhBèsgYlGhT eNECYjGheHT>óeHBW>DTpIhILBjKhF_YjACACY|>F$DFHA}KhB1eNFHGhGhB/GhBW}KLYlDFNGJeNKJEbIhIhBté<br />
𠹩$ﺕämëêWØ ð "£<br />
©:îô•ämë[WØ<br />
¡ M&Mõ^ F}‚BWGJILY\GJTACAÞ±ëYjGJGhF`DE6T>DECGheHB<br />
¤8Y_}ECeHeNBWACY_G§acFNKLY_eNBW>DTIhIhKhEbeNF`DE6KLYjUWUjECB$K®•<br />
¡ ¤eHM+T>EbacBjKhM&FNM&FN>dILFfeNYjKhEbeNB_eNBW>&DFN>GhEbIi^ Y_GJT}‚FNKJeNExYgACFS÷å• ¡ « Ò4Ò fÇiM ¢ m<br />
DEKLYjUjUWECB_Ìö•<br />
Î @eHM¦DYjAeHFN>dILKJBDFHA¥DECGheHBm¨-Y&G§acFNKhFµIhILYó^ F$eNBWAbACFHUdYgI„Y<br />
ñ4AeNFN>dIhKhBDFNACACYoGJacFHKhFHIJI„Y&DECG§I„Y@Dò•<br />
Fv>tTACAbBmu®YjAbeNBWACYjKhF<br />
YóILFHKhKLYòDYòT>æGhBjIJILEbACF/ACBòeHBW>DTIJILBWKJFj{!eHBWG)^ø®e„VFrECAGhTBå}‚BjILFH>XNECYjACF‹^<br />
ECAw}‚BjILFH>XNECYjACF|UWFN>FHKLYgIhBóDYjA!DECGJeNB'>FHACAxYv}‚BWGJECXNEbBW>FlDFHACACYvGJacFNKJFHIJI„Y'F&ACYreZYjKJECeZYrçdùEC>DBjIhILY<br />
GhTAbAxYoGJacFHKhFµIhI„Ypm<br />
Ùÿ Ñ ¢¡ £¢d¢¥¤¦¢ £b÷-Ç’Þ[jÊhË ”f•‰ŒlM@Ão{çdù• L¡ 1«<br />
Ò¨§<br />
"£<br />
Ã:ú4ùüû“ýcþè’“D”`•<br />
Y\`Ò•Ö[ ð ì {1 ¢ •À[ ð ì {1 Ü •ÀÈ ð ì GJBW>B|eHBWACAbFNUdYiILE<br />
Ï8
-.+(81¥§79¦:<br />
YóÕ{wY'acBWKhM/YóDE9IhKhBW>eNBòDE<br />
;
ì EbUWTKhF¤È¯<br />
ì ECUmpÈ{ECAŠeNBW>DFN>GhYgILBWKJF/^ F$Eb>ECXHExYjAbM/FH>tIhFˆGJeZYjKJECeNBmOA8ILFHM/}‚BlI:•<br />
-dIhFNKhKJTIhIhBWKhFˆñ„m‚npeNKJEbsWFHKhF$A²±³FNGJ}KhFHGhGJECBW>F_YjA~sjYgKhExYgKhF:DFHA8ILFHM/}‚BlDFNAbACF¤eHBWKhKJFN>dILEEcÒ<br />
F`E ¢ e„VF`GheNBjKhKhBj>B{tKhEbGh}‚FHIhIhEbsgYjM&FN>dILFg{W>FHACACFfKJFNGJECGJIhFN>XHFˆÌ:ÒFSÌ ¢ {dFSDFHACAxŶ IhFN>GJECBW>FSà YgEeZYj}E<br />
DFNAeHBW>DFH>GLYgIhBWKhFgm<br />
E“Ò®• aÞÇg̤ÒL{E ¢ ’ I ”f• ’ aÞÇjÌ ¢ ”§F « › ž! #" {Ãl’cI ”S•ÖaJ’ ¡H<br />
Fi« › ž$ #" ”)£<br />
È
%¸:!(81¥§79¦:<br />
DE ì ECUmØpm'®YjAbeNBWACYjKhF@e„VF/KLYj}}‚BWK§ILB DFHsjFFNGJGhFHKheNEILKhY ACY<br />
;GJECDFHKhEECAweHECKJeNTEqILB<br />
sjYgACUWBW>B‹Ì:Ò|• ¡ [-,:{9Ì ¢ •õ[-,:{9Ì Ü •¦×.,:{9Ì — • È/,:më®YjACeHBWAxYjKJF/AbFeHBWKhKJFN>dILE"ñhÒ_Fñ ¢<br />
F<br />
DÊ M&B1DTACB ¡ ÐõFåDECKJFNXNEbBW>FóFN>dILKhYj>dILFåKhEbGh}‚FHIJILBæYjA<br />
:<br />
ì EbUWTKhF_Ø1¯<br />
ì EbUWTKhF$×p¯<br />
KhFNGJECG§ILFN>XZY/Eb>dILFNKJ>Y@KJùDFNA-UWFH>FNKhYgILBWKJF\F_AxYlKJFNGhEbGJIhFN>XNYvÌÄDFNA-eHECKheHTEbIhBY'&/>e„V(<br />
F|EbAŠILKhYjGJacFHKhE<br />
M/FH>tIhBoDE~}~BjIhFN>XNYoGhTAbAxY_KhFNGJECG§ILFN>XZYl̹GJExY_MYjGJGhEbM/Bmw©:TYj>dILBosgYjAbFˆAxY_}~BgILFN>XZYoM/YjGhGJECM/Ydé<br />
Ì_{6ƒ¡)+*§€o•‰Ê ¢ Ç’“ÈdÌ”)£<br />
KJù•<br />
ì ECUm6×{~AbF¤a)mßFgmßM mfsjYgACUWBW>B&aâÒS• ¡ Ú&ÃäF\a ¢ • ¡ [lÃ|mŠ¨F_KhFNGJECG§ILFN>XNF<br />
¤8FHKLYgIhBWKhEÞ{~ACY&eHBWKhKJFN>dILF|ñ Ü e„VFoGheHBWKhKJF|>FHACACY/KhFHGhEbGJILFH>XZYÌ Ü {‚AxY&}~BjIhFN>XNY<br />
FNKhBjUdYgI„YlDYgE8DTF$UWFH>FNKhYgILBWKJEF$ACF¤}‚BjILFH>XNF$DEbGhGhEb}YgIhF¤>FNAbACF¤çtTYgIJILKhB&KhFHGhEbGJILFH>XNFgm<br />
ñhÒ`•ämëÚ@O|{ñ ¢ •‰mß×&O\{ñ Ü • ¡ mßÈ&O|{6ƒ10NÒ`• ¡ ÈmßÈ2ª{‚ƒ10 ¢ •êpmë[2ª{6ƒ2ÒS•êpmß×WÚ32ª{<br />
¢ •äpmÙêW[42ª{6ƒ Ü • ¡W¡ mëêj×52ª{ƒ — • ¡ mßÈjÈ32ö£<br />
ƒ<br />
FN>FNKhUjExYeHEC>FµILEbeZY Å76<br />
Ï8¸}KhBjIhBW>F‹DÊ<br />
• ×98óFHÃ FH>dILKLYEC>¸T>YºKhFHUWECBW>FóDBèsjFR^<br />
}KhFHGhFN>dIhFôT>öeZYjM&}~BºMYjUj>FHIhECeNB ‘<br />
Ø
; ½`m9¨-Y|sjFNACB1eNEqIg^<br />
Î WŽN{A@w•ämÎ ØgÈ@M@£<br />
p±‚•<br />
FˆGhFNDF¤DE~T>reZYjM&}~B|FNACFµIhIhKhECeHB ‘ ‰• Å ‘ BDC FˆDE~T>reZYjM&}~B\MYgUW>FHIhECeHB<br />
-Y|KJFNUWEbBW>F|^<br />
: •+Q ‘ BAC {‚eNBW> Å • ¡ ‘<br />
§<br />
Ã$ÇgMõF|QÖ•m ¡ Фm~=>ò}KJBjILBj>F\s1ECFH>F|EbM/M&FNGJGhB&>FNAbAxY&KhFNUjECBW>F<br />
ì EbUWTKhF_ê1¯<br />
F:eHBW>dILFH>1TpI„Yl>FNAŠ}ExYj>B=< ; FˆacBWKJMY\T>'Yj>UWBjACBoDE<br />
Fl}KJFNGJFN>dILF@GhBjACBr>FHACAxY/KhFNUjECBW>F<br />
}ExYj>BvDFNAacBWUWACEbB{‚eNBWM&FoM&BWGJIhKLYgIhBvEC>òUjTKLY'êpm_ñ4AweNYjM/}‚Bò^<br />
Y_EC>EbXNExYgACF`DFNA~}KhBjIhBW>Fl^<br />
Î WŽSeNBW> A²±ßYjGhGJF>dILB@sgYjACF¤AÞ±ëYg>UWBWAbB3p±e„VF_ECA8}KhBjIhBW>F¤acBWKhM/YoeNBj>‹A²±ßYjGJGhF>< YjAbA²±³TGheHEbI„Y<br />
Ydé<br />
DFNAeNYjM/}‚B@MYgUW>FHIhECeHBté'Oªe„VF_DEbGJI„Yg>XZY3@DYgA}T>dILB&DE8FH>tIhKLYgILY&TGheNEbKi^<br />
YFEgË`•ªØpÛ ¡ HG®MÇgGH{1acBWKJMYg>tIhFˆT>'Yg>UWBWAbB\DE Î WŽ2eHBW>rA²±ßYjGJGhFˆXˆFˆeNBj>r}KhBWEbFNXHECBW>F<br />
eNBW>sjFNAbBpeHEbIg^<br />
ACT>UjBóAÞ±ëYjGJGhF&XIEiË C Í`mJ8óBWG§ILKhYjKhF&e„VFvEbA!}KhBjIhBW>F&}~FHKheHBWKhKJFT>8±³BWKJÔEbILY FHACECeHBWECDYjACFg{ECA!eNTE<br />
^ F|}YjKLYgACACFHACBYjACAÞ±ëYjGJGhFoXg{eZYjAbeNBWACYj>DBECAKhYjUWUWEbBv¼DFNACAÞ±ßFHACEbeZY/FlACYvDECG§I„Yj>XZYvXiÒˆ}‚FNKheHBWKhGhY<br />
YjGhGJF<br />
DYjA6}KhBgILBW>F>FNA‚}KJECM&B\UWEbKhB_DFNAbA²±³FNAbECeZYpmw®YjAbeNBWACYjKhF`EC>BWAbIhKhFfAxY_DECG§I„Yj>XZY\XHËf}~FHKheHBWKhGhY|}KhEbMY<br />
e„VF$ECA8}KJBjILBj>F$EC>dsWFHKJI„Y@ECA~GhTB&M&BjILB@ACT>UWBlA²±ßYjGJGhF$Xjm<br />
¼@•‰pmÙ[j×lM {XiÒf•äpmÙêjÚlM {XNˈ•‰mߌWÚlM@£<br />
×
%¤¥§¦2(81¥§9¦:<br />
T>ÀeHECKJeNTEqILBæe„VEbTGhB´YRacBjKhM/Y¢DE¤GhFHM/EbeNECKJeNBW>pacFNKhFH>XZYRDE¤KhYjUWUWEbBRÌ GheHBWKhKJFEb><br />
;<br />
•$[gñ)Ì`Q ‘ BAC {IhKLYgIJILB@eNTK§sWB¯ ‘ L • [gñ)Ì`Q ‘<br />
L<br />
; {!eHBW>æECA9ILKhYgIhIhB<br />
FveHBW>dILFH>1TpILBu>FNA"}ExYg>BK<<br />
• : ‘ B gm :<br />
•¤Q ‘ BAC eHBW>rQö•ª[j_M/Ф{1FNGJGLYoKJTBjI„Y_DE‚T>rYj>UjBWACB_DE Î WŽNm®YjAbeNBWACYjKhFSEbA6sgYjAbBWKhF<br />
:<br />
: ’O ‘ B#V sjFNKJGhBWKJF\>BjKhM/YjACF¤YgACAxY\GhT}‚FNK§eNEbF\DFHACACYoGh}EbKLYmÆ£<br />
BAV<br />
BAC £<br />
GhFN>GhBôYj>dILEbBWKLYjKJECB T>Y‹eHBWKhKJFN>dILFrñ„mñ4A2eHECKheHTEbIhBº^<br />
F9ECM&M&FNKhGJBfEC>_T>|eNYjM&}~BSM/YjUW>FµILECeHBST>EbacBjKhM&F ‘<br />
KhFHIJILEbACEC>FNBf}YjKhYjACAbFNAbBfYjACAÞ±ëYgGhGhF¡FµILEbeZYoGhTA-IhKLYgIJILB@eNTKJsWB&F$GhTA8IhKLYgIJILB@KhFµIhIhECACEb>FNBm<br />
Ð¥KLYgIJILB@KhFµIhILEbACEb>FNB¯ ‘<br />
¤8Y:GJ}ECKhY$KJFHIJI„Yj>UjBWAxYjKJF2KJECUWEbDY{jDEAxYgIhEƒ©$•¤Ìˆn•¤Yd•$[j:eHM‰F`©¤Ì•_npƒ"•:Ô6• ¡ :eHMó{<br />
}‚FNK_T>EqIg^ Y'DE9ACT>UjVFNXHXZY.Mg•$Øj M&UtÇgeHM©FNḐ ^ F/}‚FNKJeNBWKJGLYóDYóT>Y eNBWKJKhFH>tIhF<br />
VYóT>YóM/YjGhGhY<br />
Å GJGLY'}T^ BrKhTBjI„YjKJFlGhFH>XZY YgIhIhKhEqILBEb>dILBWKJ>B'Yrƒ©l{Še„VF ^ Fl}YjKLYgACACFHACB<br />
ñ`Eb>åGhFH>GhBóYj>dILEbBWKLYjKJECBm<br />
YjACAÞ±ëYjGJGhF3dI„YgACFjmô©:TYg>DBåGhTACAxYóGh}EbKLYòYjUjECGheHFvT>æeNYjM/}‚BåM/YjUW>FµILECeHB‹T>EbacBWKJM/F/F<br />
sWFNK§ILEbeZYjAbF ‘<br />
DFNAbAxYoeNBjKhKhFH>dILF$ñ2F$ECAŠAxYZsWBWKJB2<br />
a“YgIJILB@DYjAbACFˆacBjKhXNF$M/YjUW>FµILEbe„VF¤DTKhYj>dILF$AxYlKhBgI„YjXHECBW>Fgm<br />
ñf•ä[pm ¡ [oO|{N2<br />
•ªÈt[gÈ ð g£<br />
}KhEbMYACFNUjUWF®DE¨¥Yg}AxYjeHFj{WEbAeNYjM/}‚B:M/YjUW>FµILEbeNB:>FHE}T>dIhE<br />
Ï8DBˆACŶ<br />
DFNAbA²±ßYjGhGJF|DE¥T>YGJ}ECKhY/eHECKheHBWAxYgKhF_DEKhYjUWUWEbB̪EC>óeNTEGheHBWKhKJF|T>YveHBWKhKJFN>dILF|ñ„{~Eb>óacT>XHECBW>F<br />
DFNAbAxYoDEbGJI„Yg>XZY4YvGJT}~FHKJeHECF@YacBWKJMY&DEweHExYjMoÔ‚FNAbAxYó’cIhBWKhBWEbDFè” m_®YjACeHBWAxYgKhFj{~TILEbACEbX<br />
ACFNUjUWF/DE"OM/}8^ FHKhFg{wECA9eZYgM/}‚B‹M/YjUW>FµILEbeNB EC>acT>XNEbBW>FDFNACACY DECGJILYj>XNY‹K|DYóT><br />
XZYj>DBòAxY<br />
YjGhGJF_}YjGhGhYj>dILF_}~FHK`EbA8eNFH>dILKhB&DFHA8ILBWKJBWECDF¤F_YjD'FHGhGhB/}~FHKh}‚FN>DECeNBjAxYjKJFjm<br />
Q¤’cK„”S• ð ËXñ§Ç’Þ[iÉK„”4£<br />
ê
;YrACYjM/Eb>Y/Eb>DFµ>EbILYvUWExYgeNFo>FHA!}ExYg>BI< ;<br />
: • ’ ð ˨YZÇj[W”N’cXèÇD\X[\Æ” ‘ B €N£ ‘<br />
í`-(1+(8p¥§79¦:<br />
Fl}‚FNKheHBWKhGhYrDYrT>YreNBWKJKhFH>tIhF@e„VF<br />
FND·^<br />
; mn1E‚DFH>EbGheNYYZ•:Dñ§ÇiD[GJEbIi^ Y\ACEb>FZYgKhFSDE6eNBWKJKhFH>tIhF<br />
GheNBjKhKhF>FNAbAxY¤DEbKhFNXHECBW>FDFHACAÞ±ëYjGJGhF<br />
e„VFYiIhILKhYZsWFNKJGLY AxYvAxYgM/Eb>Ym@®YjAbeNBWACYjKhF|ECAweNYjM/}‚B'MYgUW>FHIhECeHBm&npTUWUjFNKhEbM/FH>dILB¯¤KhYjUWECBj>YjKhF<br />
Y¢DEGhEbM/M&FHIhKhExYôDFNÂ eZYjM&}~B{Eb><br />
GhTAbAxYº}KJECM/YºACFHUWUWFòDE¤¨-Yj}AxYgeNFò}‚FNKveNYj}EbKhFåACF‹}KhBW}KhECFµIg^<br />
FHKhF$}‚FNKSeZYjAbeNBWACYjKhAbBm<br />
GhFNUjTEbIhB&TGLYjKJF_ACYlACFNUjUWF:DEOM/}8^<br />
¤8YvÔ~BjÔEC>Y/eNBWG§ILEbIhTEbILYDY ¡ jGh}EbKhFoDE!YjKhFNY^]ª• ¡ jeNM ¢ FoKhFHGhECG§ILFH>XZYreNBjM/}<br />
Ff}~BjGJI„Y$EC>lT>/eNYjM/}‚B$MYgUW>FHIhECeHB¤BWKJIhBWUWBW>YgACFfYjAbAxŶ GJT}‚FNKJeNECFSDFHACAbFfGh}EbKhFjm<br />
ACFNGJGhEqsjY$Ìö•¹Ø_,Ä^<br />
ñ4AeZYgM/}‚BrMYgUW>FHIhECeHB{ŠT>EbacBWKJM/F\>FNAbACBGJ}YjXHECB{ŠsgYjKJExYAbEC>FNYjKhM&FN>dIhFo>FNAILFNM&}‚B{Š}YgGhGLYg>DB<br />
DYjAsgYjAbBWKhForYjAsgYjACBjKhFoQ"Ë|•7mßÚvÐäEb>òILË\• ¡ vGNm@®YjAbeNBWACYjKhF\AxY/a)m³Fjm³M m_a ù9Eb>DBjIJI„Yv>FHACAxY<br />
Ô~BWÔEC>Y{9ACYòeZYjKJECeZYW`‹IhBjI„YgACFve„VF^aTEbGheHF >FNACACYòÔ~BjÔEC>YòDTKLYj>dIhF EbA2ILFHM/}‚BåILË@F'ECA®ACYZsWBWKJB<br />
ILBjILYjACF2<br />
Gh}‚FNGJB/>FHACAbBlGJILFHGhGJB/ILFHM/}‚Bm<br />
a ù• ÚWlM&Ã|{N`@• m ¡ ×&ˆ{N2<br />
• ¡ [pmëÚlMIl£<br />
Ú
í`8p¥J7(8p¥§79¦:<br />
Ô~BjÔEC>Ỳ eNBWM&}‚BWGJILỲ DE[´•ö[jGJ}ECKJF2eNEbKheHBWAxYjKJEWDEpYjKhFNY>]æ• ¡ [iÈWÈeHM ¢ KhTBjILYeHBW><br />
;DEbeNBWACYjKhF'YgACA²±ßYjGJGhFrDEfKJBjI„YjXHECBW>FjmR®YjAbeNBWACYjKhF<br />
ù)’ I ”f• ’ Ρ [pmß×oÃ$”)GhFN>ed9IZ{‡/’cI„”f• ’ÞŒWÚfg2¹”§GJFN> ¢ d9IN{ ‡+• ÈWŒ3fg2ö£<br />
a<br />
[j\eHMó{pMYjGJGLY|M •ÄÈoU{pKhFNGJECG§ILFN>XZY<br />
¤8Y|GJ}ECKhY|eNBW>DTIhIhECeHF:çtTYjDKhYgI„Y{pDEŠACYgILB\Ô'•<br />
• AC>’ ¡ Ô6ÇjÌ” ð ËXˆYWÇ’²[iÉ-”)£<br />
8<br />
npÈ eNBj>GhEbDFNKJEEbAfeNECKJeNTEqILBôEC> ì ECUm9Œpm¹Ý:FµILFHKhM&EC>YjKJF'A²±³FNGh}KhFNGJGhEbBW>F‹UjFN>FHKLYjAbF‹DFHACAxY<br />
l8<<br />
Y<br />
acKhFNçtTFH>XZYIbó•äØj3cX_YgIJILBWKJ>B&Y&T> }KJBW}KhEbBlDExYgM/FµILKhBm9npTAbAxYoÔ‚BWÔEC>Y&YgUWECGJeNF¤T> eZYjM&}‚B<br />
MYjUj>FHIhECeNB ‘<br />
AxY/a)m³Fjm³Móm¤a ù9Eb>DBjIJI„Y>FHACACYÔ~BjÔEC>Yp{ŠAxY/}~BjIhFN>XNY'‡’ I ”`DECGhGJEC}YiI„Yv>FHAeNEbKheHTEbIhB{8AxY/}~BjIhFN>XNY<br />
M/FHDExY ‡lm<br />
[WØ4,:{GJE8MoTBèsjF:GhFH>XZY@YgIJILKhEqILBoGJTAŠ}ExYj>BF< ; eNBW>vsjFNAbBpeHEbIg^ Y_spË•ÄÈdoM&MvÇiGN{1}YjKLYgACACFHAxY<br />
ÌÀ•<br />
F‹eNBj>eNBWKJDFuYjAbA²±ßYjGhGJF^FJöeZYjM&}~BMYgUW>FHIhECeHBºT>EqacBWKhM&F F<br />
eNBWG§I„Yj>dILFoQª•pmÙØФ{~BWKJIhBWUWBW>YgACF\YjA}ExYj>BDFNAbAxY/GJ}ECKhYm¤¨-YGJ}ECKhYFN>dILKhYv>FNAbAxY&KhFNUjECBW>F|Y<br />
Y|sÒ®KhYjUWUWEbT>dI„YoDYgACAxY\Gh}EbKLYlDBW}‚BoIHÒf•‰[pmߌlGSGLYj}‚FN>DB&e„VF\Eb><br />
I•äm®YjAbeNBWACYjKhFˆAxY|sWFHACB1eNEqIg^<br />
F¤Yg>eNBWKhYlGhBWAqI„Yj>dILB|}YjKhXHExYjAbM/FH>dILFˆEbM/M&FNKJGLY|>FNA8eNYjM/}‚BoM/YjUW>FµILEbeNBm<br />
ç1TFNACAÞ±ßEbGJILYj>dILF:ACY|Gh}EbKLYv^<br />
®YjACeHBWAxYjKJF$A²±³FN>FHKhUWECY32<br />
DEbGhGJEC}YgILY&>FNA¥eNECKJeNTEqILB&>BvYgACA²±³ECG§I„Yj>dIhF$IµÒ mˆ®YjACeHBWAxYjKJF$AxYlsWFNAbBpeHEbIi^<br />
s ¢ eNBj>ôeHTEwACYvGh}EbKLYrGhEwM|TBèsWF@DBW}‚B'FNGhGJFNKJF/FH>tIhKLYgILYvILBjILYjACM&FN>dILF|>FNAweNYjM&}~BrM/YjUW>FµILEbeNB{<br />
¢ EC> eNTE-ILYjACF:sjFNAbBpeHEbIg^ Yos1ECFH>F_KLYjUWUjECT>dI„Yp{AxYleZYjKJECeNY&çve„VF\ILKhYj>GJEbI„YlEb>óT> ILKhYgIhIhB<br />
A²±³ECGJILYj>dILF:I<br />
ç1TYjACGJExYjGJE8DFNAbAxYoGJ}ECKhY@DTKLYj>dIhF$IhTIhIhB@ECA8}KJBpeHFNGJGhBm<br />
sÒ`• Î eHMvÇiGN{N2 • „¡ m³È ð {s ¢ •[oeNMÇgGN{I ¢ • ×mëŒlGH{ç'• ÚpÛ ¡ « — "£<br />
FôeNBWM&}~BjGJILB·DEF<br />
Ï8< =>ÀGJBWACFH>BWEbDFåILBWKJBWECDYgACFæ^<br />
Gh}EbKhFôKhFHIJI„Yj>UWBWAxYgKhE:DE$ACYgILE$Y·FÔ8{<br />
FºçtTFHACAbB<br />
YèstsjBWAbIhFºGhTÖT>Y¸GhT}‚FNK§eNEbFºILBjKhBWEbDYjACFuDE\KLYjUjUWECB´Ì_m`ñ4A|ACYgILB´DE_ACT>UjVFNXHXZY¸Ô+^<br />
>FNAbAxYvDEbKhFNXHECBW>FoKLYjDExYjAbFjml®YgACeNBjAxYjKJFoA²±³EC>DTIhILYj>XZYr¨´DFNA!eHECKheHTEbIhBreNBWG ^E!eNBWM&}‚BWGJIhB{}KhEbMY<br />
>FNAbA²±ßYj}}KJBWGhGJECM/YjXNEbBW>F9Ô8½$½`Ì´F®}‚BWE}‚FNKÔlUWFN>FHKhEbeNBm®’²npTUjUWFNKJECM&FN>dILB¯-GJFfÔ8½$½Ì·ECA1eZYjM&}‚B<br />
GhE}T(<br />
B&eNBj>GhEbDFNKhYjKhF¤eHBWGJILYj>dILF_>FNAbACF¤Gh}ECKhFZ”<br />
Ô8½$½`Ì_¯¨+i<br />
ËX ¢ YjÔÇ’²[iÉ̈” {ÔóUjFN>FHKhECeHB¯9¨¢• AC>-’ ¡ Ô6ÇjÌ” ð<br />
Ëj ¢ YdÇ’²[iÉ¥”4£<br />
ð<br />
FfeNBjM/}‚BWGJIhB$DE#¸Gh}ECKhFSKJFHIhILYj>UWBjAxYjKJEpDEACYgILEY¤FfÔ8{1YèstsjBWAbIhF<br />
-@GhBWAbFN>BjECDF®IhBWKhBWEbDYjAbFˆ^<br />
FSçtTFNAbACB_>FNAbAxY¤DECKJFNXHECBW>F<br />
GhTT>Y\GJT}~FHKJeHECFSILBWKJBWECDYjACF®DE‚KhYjUWUWEbB_Ì_mdñ4A6AxYiILB$DE6ACT>UWVFNXHXZY_Ô‹^<br />
KLYjDECYjACFgm¢¨T>UjBôAÞ±wYjGJGhF DFNA2GhBWAbFN>BWEbDFreNBjKhKhF'T>æAbBuEC>DFµ>EqILB·’ ì ECUmÚd”µmR®YgACeNBjAxYjKJFvECA<br />
eNB1Fk&eNEbFN>dILF$DEMoTpILTYlEC>DTXNEbBW>FF8m<br />
eNBWKJKhFN>dIhF|ñf>FHAeHECKheHTEbIhB/Eb>óacT>XNECBj>F\DFNA-ILFNM&}‚Bm©¤TYj>dILB/sgYjAbF\ACY&eHBWKhKJFN>dILF|ñ$m³ùn)<br />
DBj}~B/T><br />
ILFNM&}‚B‹M&BWAbIhB AbT>UWBdéÝ:FµILFHKhM&EC>YjKJF@AxYóeHBWGJILYj>dILFvDE"Eb>tIhFNUWKhYjXNEbBW>FlI„YgACF&e„VFrYóIl• ‹GhECY<br />
çtTYgACF¤ECG§I„Yj>dIhF$I Ò<br />
¢ ACYleNBWKJKhFN>dIhF_KhYjUWUWEbT>UWF¤EbA~sgYjAbBWKhF¤ñ$mÆùn)2ÇW[Wé<br />
񮕉pm!O<br />
« Ò4Ò › ÙÜ<br />
Z<br />
"<br />
Î aÞÇ’ ¡W¡ ̈” {Hñ$mÆùn)ô• Î aÞÇ’ ¡W¡ Ì”µ{µO·• )Î aÞÇ’ ¡W¡ ̈” {µIµÒ<br />
¢ • Î ¨AC>6[jÇ’ ¡W¡ ̈”4£<br />
ñµ’cI„”•ROF<br />
o8Y¢Gh}EbKLYºeHECKJeNBWACYjKhFóDÊ KhYjUWUWEbBºKhËrFåKJFNGJECGJIhFN>XNYæÌ`Ë'GJEILKJBèsjYæYgACA²±³EC>dIhFNKh>BDÊ T><br />
GhBWAbFN>BWEbDFuDE$ACT>UWVFNXHXZYp@oeNBWM&}~BjGJILB·DYp<br />
GJ}ECKJFD¹KLYjUjUWECBRKµÒ„m¦ñ4A_}ExYj>BRDFHACACY·GJ}ECKhY<br />
acBWKhM/YT>Yj>UWBjACBqreNBj>ôAÞ±ëYgGhGhFlDFNA!GhBjACFN>BWECDFgmoÔ AILFNM&}‚BvI\•#{çtTYj>DBó>FNA!GhBjACFN>BWECDF<br />
GheNBjKhKhF$T>Y&eHBWKhKJFN>dILF$ñ4Ëè{s1ECFH>F$DECGJeNBW>>FNGhGJBAÞ±ëYjAbECM&FN>dI„YiILBWKJFF¤a“YgIJI„YlGheNYjKhEbeZYjKJF¤AxYleNBWKJKhFH>tIhF<br />
GhTöT>YKhFNGJECG§ILFN>XZYæÌ:ÒµmÖÝ:FHIhFNKhM&EC>YjKhF AxYôMoTILTYºEC>DTXNEbBW>FW8<br />
ILKLYGh}EbKLYºFòGJBWACFH>BWEbDFjm<br />
Ý:FHILFHKhM&EC>YgKhF&AxY‹eHBWKhKJFN>dILFrEb>DBjIJI„Yó>FNACACY‹Gh}ECKLY‹YjA"IhFNM&}~B‹IµÒ {wILKhYjGheHTKLYg>DBåA²±³EC>DTIhILYj>XNY<br />
DFNAbAxY\GJ}ECKhY\G§ILFNGJGLYm"Ý:FHIhFNKJM/Eb>YjKhF`A²±³FN>FNKhUjExY_IhBjI„YgACF2Pú)ù û²û9DECGJGhEC}YgI„Y_>FNAbAxY\GJ}ECKhY|DY\If•¤oY<br />
Œ
m9ݤYgIhEDFNA6}KJBWÔACFHMYp¯r¹• Î WWp{dKµÒ"• ¡ \eNM {tKhË®•ÖØ$eHMó{1ÌSËf•Äm ¡ ,:{pÌ:Ò• ¡ ,:{<br />
I®•¹IµÒ<br />
¡ lO|{A@•äÈdØ Ž {#@!•äØj@eNM m<br />
IHÒf•ämëØoGN{ñ4ˈ•<br />
• Èt[ ð c\{ñ)ûts„ùnu$*g’cIµÒJ”S•‰[pmߌd[oM&O|{v2Pú4ùüûÞûf•‰mߌjÈ ð g£<br />
8<br />
ì EbUWTKhF$Úp¯<br />
ì EbUWTKhF$Œp¯<br />
¡
"¦:+(81¥§9¦:<br />
F|eHBWACAbFNUdYgIhBYgDåT><br />
;åeNBj>DFN>GLYgIhBWKhFl}ECYj>B/eNBW>uYjKJMYiILTKJF\eHECKheHBWAxYgKhE-DEKhYjUWUWEbBÌ#^<br />
û<br />
ˆ<br />
u<br />
uy ž z š<br />
ˆ<br />
w<br />
UWFN>FHKLYgIhBWKhFfe„VF`G§I„YjÔECACEbGheHF"ILKhY¤ACFfYjKJMYiILTKJF®ECApeZYjM&}~B¤FHACFµIhILKJECeHB Å • Å Ë„GJEC>[d9INmw®YgACeNBjAxYjKJF®ECA<br />
eZYjM&}~BMYgUW>FHIhECeHBˆQ¢YgACA²±³EC>dIhFNKh>B`DFNAeHBW>DFH>GLYiILBWKJF®EC>_acT>XNEbBW>FDFNAbAxỲ DECG§I„Yj>XNYKDYjACAÞ±ëYgGhGhF<br />
DFNAbACF!YjKJMYiILTKJF!FACY®a)mßFgmßM m¡xèù1EC>DBgIhI„Y®Eb>$T>\GJBWACFH>BWEbDFwILBWKJBWECDYjACFg{èeNBdYjGJGhECYjACF9YjAbACF!YgKhM/YgILTKJFj{<br />
DEKLYjUjUWECBoM&FNDECBlKSF$eNBWG§ILEbIhTEbIhBlDY3ÖGh}EbKhF$DE8GJFNXNEbBW>F=]ˆm<br />
Q¤’ I ”S•<br />
uy{z š<br />
¢ ý ž eNBjG!d9IZ{Dxèù•}|r~<br />
¢ ý ž GhEb>[d9Ih£<br />
¤8F_eNEbKheHBWAxYjKJE8DE¥T>‹eHBW>DFH>GLYiILBWKJFoVYj>>BvYjKJFZYq]Ä•pm ¡ M ¢ {<br />
DECG§I„Yj>B@DóF_GJBW>B/eNBWAbACFNUWYgILF$YjD T> UWFN>FNKLYiILBWKJF\DEa)m³Fjm³Mómxô•xiËLGJEC>[d9IN{eNBW>-xiË:•[jWlÃo{<br />
¡ WRKLYgD6ÇgGNm ¨¥Y·eNBWKJKhFH>tIhFM/YjGJGhECM/YæDE_eNBW>DTXNEbBW>Fô>FNE¤AbE&^ FôE<br />
)+*)€<br />
• ÚmßÚW× ð †|m<br />
dÓ•<br />
Y$DEeNBWKJKhFH>tIhF<br />
®YjACeHBWAxYjKJF2EsgYjAbBWKhE1M/YjGhGJECM&EpDFHACACY:eNBWKJKhFN>dIhF`DEGh}‚BWG§I„YjM&FN>dILB$ECûFfDFHACAxYDFN>GJEbIi^<br />
‘ o”JÇgDIZ{~AxYDECGJILYj>XNYDòILKhYACF|YjKhM/YgILTKhFj{~ECA<br />
DEGJ}~BWG§I„YjM&FN>dIhBFYhûµ{ŠECAsgYjACBWKJF|M/YjGhGJECM&BDEDA€’<br />
sjYgACBWKJF‹M/YjGhGJECM&B¢DFNA¤eNYjM&}~BæM/YjUW>FµILEbeNB¢Eb>¸acT>XNEbBW>FòDFNACACY¢DECG§I„Yj>XZY¢KrDYjAbA²±ßYjGhGJFòDFHACACF<br />
YjKhM/YgILTKhFjm<br />
E<br />
)+*)€<br />
•¸ÚmßÚW× ð †\{ Y<br />
•PÚpmëÚW׃‚ ¡ «<br />
§<br />
O¤ÇiM ¢ { D#€’ ‘ |”hÇgDpIh£)r*)€• ¡<br />
G ÈMvÇiGN{jDo•P[`M&Mó{<br />
û<br />
)+*§€<br />
Q<br />
)r*)€<br />
’“KL”f• P š ù…„v†$‡<br />
˜è› ž }‚FNKfKH½Ì${6Q<br />
)+*§€<br />
’“K„”S• P š ù…„[†$‡<br />
¢ ˜ u }‚FNKfKHÍ`Ì_{eHBW> ̪•Š‰ ]Œ‹ É8£<br />
¢<br />
¡W¡