• Non ci sono risultati.

Problemi di Meccanica Razionale

N/A
N/A
Protected

Academic year: 2021

Condividi "Problemi di Meccanica Razionale"

Copied!
87
0
0

Testo completo

(1)

      !! "# $ %!!

 &' 

()*+,

-. /012 3425267482049:2 ;

<=< >?@ABCDC ?EC FGHC EICJCF@I?CGIKLC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<=O PK JGQQCK REBK JC QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<=S PK JGQQCK REBK QKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M

<=<=V WKACKIH@ J@LLK JGQQCK REBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X

<=<=M TL Q@IJGLG ?E EI QCKIG AEGHKIH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X <=<=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X <=<=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<Z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<N [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<S [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<U [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<M [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<Y [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NZ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= N< [[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NN [[[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NO \GFKIJ@ RA@]C = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <=N >^EKDCGIC LCI@KAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <= N=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <= N= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <= N=O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N _

(2)

<= N [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O `GHC aGADKHC @ ?FGADKHC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O=O [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O <=O=S [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O <=O= U [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O

<=S bLBEIC @?@ABCDC BcCK]@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O

<=S=< PK JGQQCK REBK BGI KHHACHG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O

<=S= N TL dACHGAIGeQKAH@T = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S

<=S=O TL dACHGAIGeQKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S

<=S=S [[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S

<=S

= U fI @?@FQCG JC CI]KACKIH@KJCKRKHCBG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S

<=S

=V PK REBK ]KACKRCL@AC]C?CHKHK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <U

<=S=M bLHAC @?@FQC JC CI]KACKIHC KJCKRKHCBC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <U

<=U bLHAC @?@ABCDC ?EC FGHC EICJCF@I?CGIKLC g NZZ<h = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V

<= U=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V <= U= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V <= U=O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=S = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=M = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X <= U=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X <= U=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X i j0:3k2042 57l:2 787mn2k2 832 6012 3425267482049:2 .o N=< `GHC EICJCF@I?CGIKLC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X N=<=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X N=<= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<=O PK JGQQCK REBK JC QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<=S PK JGQQCK REBK QKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y

N=<=V WKACKIH@ J@LLK JGQQCK REBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NZ

N=<=M TL Q@IJGLG ?E EI QCKIG AEGHKIH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = N< N=<=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<Z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<S = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<M = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<= NZ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<= N< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO

(3)

N=<= NO = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=N >^EKDCGIC LCI@KAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=O `GHC aGADKHC @ ?FGADKHC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=S bLBEIC @?@ABCDC BcCK]@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=S=< PK JGQQCK REBK BGI KHHACHG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS q r:n342 n06s212 5t78967 i; O=Z=< P u vuwxy zG

FQCHG JC `@BBKICBKua@RRAKCG eYM = = = = = = = = = = = = = = = = = = = = = = = = = = = = NM

O=Z= N Pu vuwxywACFG BGFQCHG JC @?GI@AGuK=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = = = = = = NX

O=Z=O z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@uV}V}eYVuT~ KQQ@LLGu ?@??= @?HC]K= = = = = = = = = = = = NX O=Z=S z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@u?@??= @?HC]K gw EL]CA@IHCh = = = = = = = = = = = = = = = NY O=Z= U z| uPuv zG FQCHG ?@??CGI@ @?HC]K K=K= YO{ YS = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NY O=Z=V z|uPuvuwxy zGFQCHG JC `@BBKICBK |KDCGIKL@J@L V=<Z=YS = = = = = = = = = = = = = = = = = = = = NY O=Z=M z| uPuv uwx zGF QCHG J@L NZ=V =YS g `KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = OZ O=Z=X z|uPuvuwxy zGFQCHG J@L <<=M=YS g`KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = OZ

O=Z=Y z|uPuvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = OZ

O=Z=<Z z|uPvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = OZ

O=Z=<< Pu|f zGFQCHG JC `@BBKICBK J@L NO= N=<YYU = = = = = = = = = = = = = = = = = = = = = = = = = = = = = O<

O=Z=<N Pu|fuywACFG BGFQCHG JC @?GI@AGuK=K=YS{YU= = = = = = = = = = = = = = = = = = = = = = = = = = = = O<

O=Z=<O z|uPu|fyzGFQCHG JC `@BBKICBK |KDCGIKL@ J@L NV=N=YV = = = = = = = = = = = = = = = = = = = = = = O<

O=Z=<S z| uPuv u| f zGF QCHG ?@??CGI@@?HC]K K=K= YO{YS = = = = = = = = = = = = = = = = = = = = = = = = = = O<

O=Z=<U Pu vu€ v@BGIJG KQQ@LLG `@BBKICBK |KDCGIKL@ K=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = ON

O=Z=<V P u vu = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ON O=Z=<M P u| f u€u€ ubb z GFQCHG JC `@BBKICBK | KDCGIKL@uY}M}eYVuTT~ KQQ@LLGu ?@??= @?HC]K = = = = = = ON O=Z=<X z| uP u| f u€u€ zGF QCHG JC `@BBKICBK | KDCGIKL@uN S} Y}eYVuT~ KQQ@LLGu?@??= KEHEIIKL@ = = = = OO O=Z=<Y z| uP u| f u€u€ubb zG FQCHG JC `@BBKICBK |

KDCGIKL@u X}<Z}eYVuTT~ KQQ@LLGu?@??= KEHEIIKL@ = OO

O=Z= NZ ‚ zy zG

FQCHG JC `@BBKICBK J@L NO=N=<YYU= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = O S

O=Z= N< ‚z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OS

O=Z= NN ‚zubbuw v@BGIJG BGFQCHG JC @?GI@AG K=K=YS= = = = = = = = = = = = = = = = = = = = = = = = = = = = OU

O=Z= NO €u€ubbu vy TT@?GI@AG <Z}U}eYV = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OU

O=Z= NS z|u€u€uwy>?GI@AG JC `@BBKICBK |KDCGIKL@J@L V{V{YZ = = = = = = = = = = = = = = = = = = = = = OV

ƒ j0:3k2042 52 9:n342 n06s212 52 78967 q„

S=Z=< P

u vuwxy zG

FQCHG JC `@BBKICBKua@RRAKCG eYM = = = = = = = = = = = = = = = = = = = = = = = = = = = = OV

S=Z= N P

u vuwxyw

ACFG BGFQCHG JC @?GI@AGuK=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = = = = = = OV

S=Z=O z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@uV}V}eYVuT~ KQQ@LLGu ?@??= @?HC]K= = = = = = = = = = = = OM S=Z=S z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@u?@??= @?HC]K gw EL]CA@IHCh = = = = = = = = = = = = = = = OX S =Z= U z| uPuv zG FQCHG ?@??CGI@ @?HC]K K=K= YO{ YS = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OY S=Z=V z|uPuvuwxy zGFQCHG JC `@BBKICBK |KDCGIKL@J@L V=<Z=YS = = = = = = = = = = = = = = = = = = = = OY

S=Z=M z|uPuvuwx zGFQCHG J@L NZ=V=YS g `KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=X z|uPuvuwxy zGFQCHG J@L <<=M=YS g`KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=Y z|uPuvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=<Z z|uPvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=<< Pu|f zGFQCHG JC `@BBKICBK J@L NO= N=<YYU = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=<N Pu|fuywACFG BGFQCHG JC @?GI@AGuK=K=YS{YU= = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ

S=Z=<O z|uPu|fyzGFQCHG JC `@BBKICBK |KDCGIKL@ J@L NV=N=YV = = = = = = = = = = = = = = = = = = = = = = S<

S=Z=<S z| uPuv u| f zGF QCHG ?@??CGI@@?HC]K K=K= YO{YS = = = = = = = = = = = = = = = = = = = = = = = = = = SN S=Z=<U P u vu€ v@BGIJG KQQ@LLG `@BBKICBK | KDCGIKL@ K=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = SN S=Z=<V P u vu = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SN

(4)

=Z=<M P f GFQCHG JC `@BBKICBK KDCGIKL@uY}M}eYVuTT~ KQQ@LLGu ?@??= @?HC]K = = = = = =

S=Z=<X z|uPu|fu€u€ zGFQCHG JC `@BBKICBK |KDCGIKL@uNS}Y}eYVuT~ KQQ@LLGu?@??= KEHEIIKL@ = = = = SU

S=Z=<Y z|uPu|fu€u€ubb zGFQCHG JC `@BBKICBK |KDCGIKL@u X}<Z}eYVuTT~ KQQ@LLGu?@??= KEHEIIKL@ = SV

S=Z= NZ ‚z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SV

S=Z= N< ‚z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SV

S=Z= NN ‚zubbuw v@BGIJG BGFQCHG JC @?GI@AG K=K=YS= = = = = = = = = = = = = = = = = = = = = = = = = = = = SV

S=Z= NO €u€ubbu vy TT@?GI@AG <Z}U}eYV = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SM

S=Z= NS z|u€u€uwy>?GI@AG JC `@BBKICBK |KDCGIKL@J@L V{V{YZ = = = = = = = = = = = = = = = = = = = = = SX

† r:n342 787mn2k2 8‡0:12 24 57119l:20 ƒo

U=< w

AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SY

U=<=< TˆAKJC JC LCR@AH‰ @ LK ?B@LHK J@LL@ BGGGAJCIKH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = SY

U=<= N TL BKLBGLG J@LLe@I@AˆCK BCI@HCBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = S Y U=<=O TL BKLBGLG J@LLe@I@AˆCK QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SY U=< =S

PK PKˆAKIˆCKIK @ L@ @^EKDCGIC JC >EL@AG{PKˆAKIˆ@ = = = = = = = = = = = = = = = = = = = = = = = = S

Y

U=<= U Pe€KFCLHGICKIK @ L@ @^EKDCGIC JC €KFCLHGI = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UZ

U=<=V PK J@H@AFCIKDCGI@J@ˆLC @^ECLCRAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = U<

U=<=M PK ?HKRCLCH‰ J@LL@QG?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = U<

U=<=X P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG ?HKRCLC = = = = = = = = = = = = = = = = = UN

U=<=Y ŠLC CIH@ˆAKLC QACFC @ LK ACJEDCGI@ J@C ˆAKJC JC LCR@AH‰ = = = = = = = = = = = = = = = = = = = = = = = UN

U=<=<Z PK ]@A?CGI@ €KFCLHGICKIK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UO

U=N w

AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UO

U= N=< PK J@H@AFCIKDCGI@J@ˆLC @^ECLCRAC @ LK LGAG ?HKRCLCH‰ = = = = = = = = = = = = = = = = = = = = = = = = US

U= N= N P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLLe@^ECLCRACG ?HKRCL@ = = = = = = = = = = = = = = = = = = = = = = = = US

U= N=O |@K

DCGI@ ]CIBGLKA@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UU

U=O w

AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UV

U=O=< TˆAKJC JC LCR@AH‰ @ LK ?B@LHK J@LL@ BGGGAJCIKH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = UV

U=O= N TL BKLBGLG J@LLe@I@AˆCK BCI@HCBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UV

U=O=O TL BKLBGLG J@LLe@I@AˆCK QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UM

U=O=S PK PKˆAKIˆCKIK @ L@ @^EKDCGIC JC >EL@AG{PKˆAKIˆ@ = = = = = = = = = = = = = = = = = = = = = = = = UM

U=O= U Pe€KFCLHGICKIK @ L@ @^EKDCGIC JC €KFCLHGI = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UX

U=O=V PK J@H@AFCIKDCGI@J@ˆLC @^ECLCRAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UY

U=O=M PK ?HKRCLCH‰ J@LL@QG?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UY

U=O=X P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG ?HKRCLC = = = = = = = = = = = = = = = = = VZ

U=O=Y ŠLC CIH@ˆAKLC QACFC @ LK ACJEDCGI@ J@C ˆAKJC JC LCR@AH‰ = = = = = = = = = = = = = = = = = = = = = = = V<

U=O=<Z TL BGIHAGLLG JCF@I?CGIKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = V< U=S w AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = V< U =S

=< vB@LHK J@LL@BGGAJCIKH@ @J @^EKDCGIC J@L FGHG = = = = = = = = = = = = = = = = = = = = = = = = = = = V<

U =S

= N wG

?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VN

U=S=O |CJEDCGI@ J@C ˆAKJC JC LCR@AH‰ @ KIKLC?C ^EKLCHKHC]K = = = = = = = = = = = = = = = = = = = = = = = = = VN

U=S=S PK AKQQA@?@IHKDCGI@ J@LLeGARCHK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO

U=S= U \GFKIJ@ ]KAC@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO

U=U wAGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO

(5)

M=< P@ HAK?aGAFKDCGICBKIGICBc@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VU

M=<=< TL QAGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VU

M=<= N fI @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VV

M=<=O fI @?@FQCG FGLHG QKAHCBGLKA@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VV

M=N ‚AK?aGAFKDCGIC ?CFQL@HHCBc@ CIJCQ@IJ@IHC JKL H@FQG = = = = = = = = = = = = = = = = = = = = = = = = = = = = VM

M=O “ EIDCGIC ˆ@I@AKHACBC@ HAK?aGAFKDCGIC BKIGICBc@JCQ@IJ@IHC JKL H@FQG = = = = = = = = = = = = = = = = = = VY

M=O=< bLHAC HCQC JC aEIDCGIC ˆ@I@AKHACBC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MZ

M=S >^EKDCGI@ JC €KFCLHGI KBGRC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M<

M=S=< >?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MN

M=U z

G?HAEDCGI@J@LL@ ]KACKRCLC KDCGI@{KIˆGLG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MO

M= U=< WKACKRCLC KDCGI@{KIˆGLG Q@A LeG?BCLLKHGA@KAFGICBG = = = = = = = = = = = = = = = = = = = = = = = = = MO

M= U= N fI @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MO

M= U=O fI KLHAG @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MU

M=V ‚@GACK J@LL@ Q@AHEARKDCGIC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MM

M=V=< >?@FQC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MX

o r:1m2 ”87mn2k2 24 ’0m69:2860 Œ962:1042940 o•

X=< ‚AK?aGAFKDCGIC zKIGICBc@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = XZ

X=N €KFCLHGI{KBGRC@ ]KACKRCLC KDCGI@{KIˆGLG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X<

X=O ‚@GACK J@LL@ Q@AHEARKDCGIC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = XS

– —:17m20m2 ˜™0nŽ2š ”87mn2k2 24 ’0m69:2860 Œ962:1042940 oƒ

.• r:1m0 o†

@LLK QACFK QKAH@ g?@DCGIC <=<u <=Nu <=Ou <=S h BC ?GIG @?@ABCDC ?EC FGHC EICJCF@I?CGIKLC=

€G CIJCBKHG BGIy

[ ˆLC @?@ABCDC IGI J@L HEHHG ?HKIJKAJ›

[[ @?@ABCDC QCœ JCBCLC @ IGI I@B@??KACKF@IH@EHCLC›

[[[ ˆLC @?@ABCDC QCœ JCBCLC @ IGI I@B@??KACKF@IH@EHCLC›

ˆLC @?@ABCDC ?@IDK K?H@AC?BG ?GIG K??GLEHKF@IH@?HKIJKAJ=

@LL

K ?@BGIJK QKAH@ g?@DCGI@Oh@?@ABCDC ?EC FGHC CI QCž JCF@I?CGIC=

ŠLC @?@ABCDC J@LLK ?@DCGI@ O ?GIG BLK??CŸBKHC KQQAG??CFKHC]KF@IH@Q@A KAˆGF@IHG y

‹ aGAFKLC?FG LKˆAKIˆCKIG

j

?HKRCLH‰

™  QCBBGL@ G?BCLLKDCGIC

¡— ACJEDCGI@ J@C ˆAKJC JC LCR@AH‰

¢ H@GA@FK JC G@Hc@A £ ¡ BGAQC ACˆCJC Œ aGAFKLC?FG cKFCLHGICKIG ¤ £

(6)

Œ¦ KFCLHG KBGRC

rr

]KACKRCLC KDCGI@{KIˆGLG

™ Q@AHEARKDCGIC JC ?C?H@FC CIH@ˆAKRCLC

TACBcCKFCKLLK RCRLCGˆAKŸK IGI ?GIG G]]CKF@IH@BGFQL@HCy IGI ?GIG BCHKHCHEHHC C H@?HCuI§ CH@?HC CI RCRLCGˆAKŸK ?GIG

BCHKHC HEHH@ L@ ]GLH@ Bc@ QGHA@RR@ @??@A@EHCL@= `@I@ ?BE?G BGI ˆLC ?HEJ@IHC @BGI ˆLC KEHGAC=

¨

37819 ‡7m82047 404 © 57ª4212‡9« ™088040 7887mn2 7mm0m2¬ 94nŽ7 lm9‡2« ‹9 ‡7m82047 s2­ m7n7417¬ 7

(7)

² ³´µ ´

»¼» ½¾¿ÀÁÂà¾Ä ÅÆÇ ÄÈÂÉÂſȾÂÆÈÊËÂ

vGIG HAKHHKHC CI HEHHC C LCRAC JC F@BBKICBK= fIe@?QG?CDCGI@ FGLHG BcCKAK Ì?ELL exL

C]C@AC Í<ZÎ=

ÏÐÏÐÏ

zKLBGLK CL Q@ACGJG J@LL@ G?BCLLKDCGIC J@L FGHG EICJCF@I?CGIKL@ JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔ Õ ÖÓÖ

×u Q@A Ø Ù Úu CI

aEIDCGI@J@LLe@I@AˆCK g]@JC PKIJKE ÍYÎh=

W@JC ?@DCGI@N=<=<

ÏÐÏÐÛ

z

GI?CJ@AK CL FGHG EICJCF@I?CGIKL@ Ü

Ó Õ Ó = ‚AG]K CL FGHG BGI JKHG CICDCKL@ Ò ÓÝÞÓÝß Ô Õ Òà Þá à Ô = TI ^EKIHG H@FQG LK HAKC@HHGACK KAAC]K CI Ó Õâã

‚AG]K HEHHC C JKHC CICDCKLC HKLC Bc@ äåæçèéê

Ó Òë

Ô Õâ =

‚AG]K HEHHC C JKHC CICDCKLC HKLC Bc@ äåæçèéê

ß Ó Òë Ô Õâ = W@JC ?@DCGI@N=<= N ÏÐÏÐì íî ïðññòî óôõî ïò ñðö÷øùòîú÷ z

GI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à I@LLK ûJGQQCK REBK JC QGH@IDCKL@ü Ü

Ó ÕÓ áÓý =

\C?@ˆIK L@GARCH@ I@LLG ?QKDCG J@LL@ aK?C=

\C?BEHC LK ?HKRCLCH‰ J@LL@QG?CDCGIC JC @^ECLCRACG=

\@H@AFCIK CL IEF@AG J@LL@ GARCH@ KJ @I@AˆCK þuKL ]KACKA@JC þ=

zG I?CJ@AK CL JKHG CICDCKL@ Ò ÓÝÞÓßÝÔ Õ Ò á à ÞÿÔ ›Q@A ^EKLC ]KLGAC JC ÿ 

CL QEIHG FKH@ACKL@ AKˆˆCEIˆ@LK QG?CDCGI@

à ã zGI Bc@ ]@LGBCH‰ BC KAAC]K ã w@A þ Õâ

CL FGHG K]]C@I@ ?ELLK û?@QKAKHACB@ü= zGI Bc@ KIˆGLG LK ?@QKAKHACB@CIH@A?@BK ˆLC K??C

ã

W@JC ?@DCGI@N=<=O

ÏÐÏÐ íî ïðññòî óôõî ñîö÷ 

zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔÕ    Ø  uBGI Ø  =

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø

TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH‰ KL ]KACKA@JC Ø=

\C?@ˆIK CL ˆAKŸBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=

W@JC ?@DCGI@N=<=S

ÏÐÏÐ

zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔÕ Óý  Ø Ó u BGI Ø  =

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø

TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH‰ KL ]KACKA@JC Ø=

\C?@ˆIK CL ˆAKŸBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=

(8)

zGI?CJ@AKCLFGHG JCEIQEIHG FKH@ACKL@JCFK??K àu?Gˆˆ@HHG KJ EIK aGADKJC@I@AˆCKQGH@IDCKL@Ñ Ò ÓÔÕ   á × Ò Ó  á Ó Ô uBGI Ø  =

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø

TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH‰ KL ]KACKA@JC Ø=

\C?@ˆIK CL ˆAKŸBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=

W@JC ?@DCGI@N=<=V ÏÐÏÐ ú ñ÷øïðúð ô ôø ñòîøð ôðöîøö÷ z GI?CJ@AK CL FGHG  Ü  Õ á å      å     Þ JG]@  Ì EI KIˆGLGu  â LK FK??Ku  â EIK LEIˆc@DDKu  Ù â EIeKBB@L@AKDCGI@ @  Ù â

EIK aA@^E@IDK= E@?HK

@^EKDCGI@ J@?BAC]@ EI Q@IJGLGu BCGÌ EI QEIHG FKH@ACKL@ JC FK??K



?E EI @?HA@FG JC EIeK?HK JC LEIˆc@DDK

 BGI

LeKLHAG @?HA@FG Ÿ??KHGu ?Gˆˆ@HHK KLLK aGADK JC ˆAK]CH‰u ?E JC EI QCKIG ]@AHCBKL@ Bc@ AEGHK BGI ]@LGBCH‰ BG?HKIH@ JC

aA@^E@IDK  = PeKIˆGLG  Ì FC?EAKHG JKLK ]@AHCBKL@= EKIJG  Õ â

CL QEIHG FKH@ACKL@ ?C HAG]K I@LLK QG?CDCGI@ JC

FCICFK KLH@DDK=

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG= TI QKAHCBGLKA@ ?HEJCK Le@?C?H@IDK @ LK ?HKRCLCH‰ J@LL@ QG?CDCGIC JC @^ECLCRACG KL

]KACKA@ J@L QKAKF@HAG 

Õ 

!

= zc@ JCF@I?CGIC Ÿ?CBc@ cK 

ã

\C?@ˆIK CL ˆAKŸBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL

]KACKA@JC = gW@JC \@LLebIHGICG Í UÎh=

zGI?CJ@AK CL JKHG CICDCKL@ Ò ÝÞ ß  ÝÔÕ Ò á" ÞâÔ = w

AG]K Bc@ CL FGHG Ì Q@ACGJCBG @ ?BAC]C CL Q@ACGJG J@LLeGARCHK=

TI ^EKIHG H@FQG CL Q@IJGLG KAAC]K CI  Õ " ã zG I Bc@ ß  BC KAAC]K ã EKIHG ]KL@ ß  ^EKIJG CL Q@IJGLG QK??K Q@A  Õâã EKIHeÌCL ]KLGA@FK??CFG Bc@ ß  K??EF@ ã w @A ^EKLC C?HKIHC JC H@FQG ß  AKˆˆCEIˆ@CL FK??CFG ã EKIHG ]KL@  ^EKIJG ß  ÌFK??CFG ã zGI?CJ@AK CL JKHG CICDCKL@ Ò Ý Þ ß  ÝÔ Õ Ò á " Þ#Ô uBGI # â = w@A ^EKLC ]KLGAC JC # CL Q@IJGLG cK EI FGHG Q@ACGJCBG ã

>?QACFC Q@A HKLC ]KLGAC CL Q@ACGJG J@L FGHG=

\@H@AFCIK LeKIJKF@IHG K?CIHGHCBG J@L Q@ACGJG Q@A

# $

% =

PK BGFQGI@IH@ ]@AHCBKL@ J@LLK A@KDCGI@]CIBGLKA@Ìy

|@KDCGI@ Õ   Ò ß      Ü   å  Ô& gw@ABc § ã

h \@H@AFCIK CL ?EG KIJKF@IHG K?CIHGHCBG Q@A

# $ % u^EKIJG CL Q@IJGLG ÌCI  ÕâÞ " Þ' = W@JC ?@DCGI@N=<=M ÏÐÏÐ( z

GI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K

 u JC @I@AˆCK QGH@IDCKL@ ÑÒ ÓÔÕ á à Ú   Ó á)* à    * Ó )++, * -Ó ) --. ' + Þ JG]@ )  âÞ Ù â

cKIIGu AC?Q@HHC]KF@IH@u L@ JCF@I?CGIC JC EIK LEIˆc@DDK @ JC EIK KBB@L@AKDCGI@u @  Ù â cK L@ JCF@I?CGIC JC EIK aA@^E@IDK= 

GHK Bc@ ˆLC K?Q@HHC ^EKLCHKHC]C J@L FGHG JCQ@IJGIG JKC QKAKF@HAC Ÿ?CBC

)ÞÞ 

KHHAK]@A?G EI EICBG QKAKF@HAG KJCF@I?CGIKL@= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHGu CI QKAHCBGLKA@ Le@?C?H@IDK J@LL@

QG?CDCGIC JC @^ECLCRACG @ LK LGAG ?HKRCLCH‰=

(9)

zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K  u JC @I@AˆCK QGH@IDCKL@ ÑÒ ÓÔÕ à Ú1 Ó  ) * à    * Ó )++, * -Ó ) --. ' + Þ JG]@ )  âÞ Ù âÞ 1 Ù â

u cKIIGu AC?Q@HHC]KF@IH@u L@ JCF@I?CGIC JC EIK LEIˆc@DDKu JC EIK KBB@L@AKDCGI@ @ JC EIK

BG?HKIH@ JC @LK?HCBCH‰= 

GHK Bc@ ˆLC K?Q@HHC ^EKLCHKHC]C J@L FGHG JCQ@IJGIG JKC QKAKF@HAC Ÿ?CBC

Þ)ÞÞ

1

KHHAK]@A?G

EI EICBG QKAKF@HAG KJCF@I?CGIKL@= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHGu CI QKAHCBGLKA@ Le@?C?H@IDK J@LL@ QG?CDCGIC JC

@^ECLCRACG @ LK LGAG ?HKRCLCH‰=

W@JC ?@DCGI@N=<=Y

ÏÐÏÐÏ2

fIQEIHGFKH@ACKL@JCFK??Kà?CFEG]@?EEIKA@HHK?GHHGLeKDCGI@JCEIKaGADKJC@I@AˆCKQGH@IDCKL@Ñ Ò

ÓÔ Õ áÓý  Ó = z

GI?CJ@AK C JKHC CICDCKLC JC @I@AˆCK HGHKL@ þ

Õ 3 4 u @ ?CK ß ÓÝ Õ 3 = \@H@AFCIK C ]KLGAC JC Ó Ò âÔ Q@A C ^EKLC CL FGHG Ì

Q@ACGJCBG @JKC EIe@?QA@??CGI@ J@L Q@ACGJG= W@JC ?@DCGI@N=<=<Z

ÏÐÏÐÏÏ

fI QEIHG FKH@ACKL@ JC FK??K à ?C FEG]@ ?E EIK A@HHK ?GHHG LeKDCGI@ JC EIK aGADK JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔ Õ 5 Ó  à 6 Ó uBGI 6  = w @A ^EKLC ]KLGAC JC 6 HEHH@ L@ GARCH@?GIG LCFCHKH@ ã w @A ^EKLC ]KLGAC JC 6 LeGACˆCI@Ì ?HKRCL@ ã W@JC ?@DCGI@N=<=<< ÏÐÏÐÏÛ 7

fI QEIHG FKH@ACKL@ JC FK??K àu ?E EIK A@HHKuCICDCKLF@IH@ CI

Ó Õ â

BGI ]@LGBCH‰

ß Ó Õ

àu ?C FEG]@ ?GHHG LeKDCGI@ JC

EIK aGADK JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔ Õ á 5 Ó  à= w AG]K Bc@ CL FGHG Ì CLLCFCHKHG= wAG]K Bc@ @?C?H@ EIeKBB@L@AKDCGI@ K?CIHGHCBK g BCGÌäåæ çèéê Ü Ó Ì ŸICHGh

wAG]K Bc@ K?CIHGHCBKF@IH@ I@L H@FQG CL FGHG H@IJ@ KJ EI FGHG EICaGAF@F@IH@ KBB@L@AKHG= TI KLHAC H@AFCIC

@?C?HGIG 8 Ó u 8 ÿ u@ 6 HKLC Bc@äåæçèê ÖÓß Òë Ôá Ò8 ÿ  ë 6 ÔÖÕ â @ äåæçèê ÖÓ Òë Ôá Ò8 Ó  ë8 ÿ  ç 6 ÔÖÕâ = W@JC ?@DCGI@N=<=<N ÏÐÏÐÏì

fI QEIHG FKH@ACKL@JC FK??K à ?C FEG]@ ?ELLK ?@FCA@HHK

Ó  â

?Gˆˆ@HHG KJ EIK aGADK JC @I@AˆCK QGH@IDCKL@ Ñ Ò

ÓÔ Õ á 3   3  = w@A ^EKLC JKHC CICDCKLC CL FGHG ÌQ@ACGJCBG ã w@A ^EKLC JKHC CICDCKLC CL FGHG IGI ÌQ@ACGJCBG ã w@A ^EKLC JKHC CICDCKLC CL FGHG ÌCLLCFCHKHG ã

EKLC ?GLG L@ ?GLEDCGIC ?HKDCGIKAC@

ã vCK ÓÝ Õ 3 @ ß ÓÝ Õ à= \@H@AFCIK äåæçèéê ß Ó Òë Ô = vCK ÓÝ Õ 3 @ ß ÓÝ Õ á

à= EKL Ì CL FK??CFG J@LLK ]@LGBCH‰ Bc@ CL QEIHG AKˆˆCEˆ@

ã > ^EKL Ì CL FCICFK ã W@JC ?@DCGI@N=<=<O ÏÐÏÐÏ 7 vCK Ñ Ò ÓÔ Õ à   Ó Q@A ÖÓÖ . ' u@ ÑÒ ÓÔÕ â Q@A ÖÓÖ Ù ' =

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG=

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG Q@ACL QGH@IDCKL@ Ñ9Ò

ÓÔÕ Ñ Ò  9Ô BGI : ⠛BG?K KBBKJ@I@L LCFCH@ : $ âã

(10)

ÓÔÕ 39 9Ô â $ âã

EKL ÌCL FGHG JC EIK QKAHCB@LLK Bc@ACFRKLDK BGIHAG EI ûFEAG CIŸICHKF@IH@ACˆCJGü

ã W@JC ?@DCGI@N=<=<S ÏÐÏÐÏ 7 vCK Ñ Ò ÓÔ Õ á Òà   ÓÔ Q@A ÖÓÖ . ' u@ Ñ Ò ÓÔ Õâ Q@A ÖÓÖ Ù ' =

\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG=

\C?BEHC ^EKLCHKHC]KF@IH@CL FGHG Q@A CL QGH@IDCKL@ Ñ9Ò

ÓÔ Õ 3 9 Ñ Ò  9Ô BGI : â u Q@A JKHC CICDCKLC JC @I@AˆCK HGHKL@ QG?CHC]K= zG?K KBBKJ@I@L LCFCH@ : $ âã W@JC ?@DCGI@N=<=<U ÏÐÏÐÏ vCK Ñ Ò ÓÔ Õ ÖÓÖ

= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG= EKIHeÌ LK aGADK CI

Ó Õ âã vCK Ñ Ò ÓÔ Õ áÖÓÖ = ‚AG]K CL FGHG JC JKHG CICDCKL@ Ò ÓÝÞÓÝß Ô Õ Ò á à ÞÿÔ KL ]KACKA@JC ÿ â = zGI?CJ@AK GAK Ñ Ò ÓÔÕ á 5 6  Ó 6 u BGI 6 â = \@H@AFCIK CL FGHG JC JKHG CICDCKL@ Ò ÓÝÞÓßÝÔÕ Ò á à ÞÿÔ KL ]KACKA@ JC ÿ â u@ CL LCFCH@ JC HKL@FGHG Q@A 6 $ â = W@JC ?@DCGI@N=<=<V ÏÐÏÐÏ 7 vCK ÑÒ ÓÔ Õ áÖÓÖ × BGI Ø  â = zGI?CJ@AK CL JKHG CICDCKL@ Ò ÓÝÞ ÓÝß Ô Õ Òà ÞâÔ

= TI ^EKIHG H@FQG CL QEIHG FKH@ACKL@

AKˆˆCEIˆ@ % ã w@A ^EKIHG H@FQG CL FGHG @?C?H@ ã vCK Ñ Ò ÓÔ Ù < Q@A GˆIC Ó A@KL@= wAG]K Bc@ ÖÓ Òë ÔÖ . = 3  = ëuQ@A = 3 Þ =

BG?HKIHC GQQGAHEI@ Bc@ JCQ@IJGIG JKL

JKHG CICDCKL@= w AG]K Bc@ CL FGHG @?C?H@ Q@A HEHHC C H@FQC= W@JC ?@DCGI@N=<=<M ÏÐÏÐÏ( vCK Ñ Ò ÓÔÕ Ó  Ø  å Ó uBGI Ø  â

= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@ JC Ø= TI QKAHCBGLKA@HAG]K ˆLC Ø Q@A

BEC @?C?HGIG ?GLEDCGIC ?HKDCGIKAC@@ JC?BEHCI@ LK ?HKRCLCH‰= \@H@AFCIK Q@A ^EKLC Ø @?C?HGIG GARCH@ Q@ACGJCBc@=

W@JC ?@DCGI@N=<=<X ÏÐÏÐÏ0 7 vCK ÑÒ ÓÔ Õ  åÒ ÓÔ   åÒ Ø ÓÔ u BGI â > Ø > àu @ Ò ÓÝÞÓßÝÔ Õ Ò âÞ Ú Ô = \@H@AFCIK äåæçèê Ó Òë Ô KL ]KACKA@ JC Ø=

gvEˆˆ@ACF@IHG y ]@JC Le@?@ABCDCG ?EL ACHGAIG <=S= Nh W@JC ?@DCGI@N=<=<Y ÏÐÏÐÛ2 vCK Ñ Ò ÓÔ Õ Òà    Ò ÓÔÔ å ?  9@ u@ Ò ÓÝÞ ÓÝß ÔÕ Ò âÞ Ú Ô = w @A ^EKLC ]KLGAC JC : CL FGHG Ì CLLCFCHKHG ã W@JC ?@DCGI@N=<= NZ ÏÐÏÐÛÏ 77 vCK ÑÒ ÓÔÕ Ú  å? 9@ u ÓÝ Õâ @ ß ÓÝ 

Ú= \@H@AFCIK CLH@FQG I@B@??KACGQ@AAKˆˆCEIˆ@A@

Ó Õ àuI@L LCFCH@ : $ â = W@JC ?@DCGI@N=<=N< ÏÐÏÐÛÛ 777 vCK Ñ Ò ÓÔ Õ Òà    Ò ÓÔÔ å ?  9@ u @ Ò ÓÝÞ ÓÝß Ô Õ Ò á'Þ Ú Ô

= TIJCBK BGI ë9 CL H@FQG I@B@??KACG Q@A AKˆˆCEIˆ@A@

Ó Õ ' = wAG]K Bc@äåæ9è Ý ë9 Ì ŸICHG= vCK ë9Ò ÓÔ

CL H@FQG I@B@??KACG Q@AAKˆˆCEIˆ@A@

Ó ' = wAG]K Bc@ çAB C   = Q@AGˆIC: @J GˆIC Ó ' W@JC ?@DCGI@N=<= NN

(11)

Kh TI ˆ@I@AKL@EIeGARCHK Q@ACGJCBK Ì J@?BACHHK JK EIe@LLC??@ I@LLG ?QKDCG J@LL@ aK?C ã Rh vCK Ñ Ò ÓÔ ÕÓ  3  å Ó = EKIHeÌ äåæçèéê Ó Òë Ôã

TL FGHG Ì EICaGAF@F@IH@KBB@L@AKHG

ã

Bh z

GF@ Ì LK QKAH@A@KL@ J@ˆLC KEHG]KLGAC JC EI ?C?H@FK BGI?@A]KHC]G LCI@KACDDKHG CIHGAIG

KJ EIK QG?CDCGI@JC @^ECLCRACG ?HKRCL@

ã

Jh \C?BEHC LK ?HKRCLCH‰ J@LLeGACˆCI@ Q@A L@ ?@ˆE@IHC @^EKDCGIC JCH@A@IDCKLC y <= Ü Ó Õ Ó  ß Ó N= Ü Ó Õ ÓáÓß O= Ü Ó Õ áÓ  ß Ó S= Ü Ó Õ áÓ áÓß

EKL@ JC @??@ J@?BAC]@ EI G?BCLLKHGA@ KAFGICBG BGI KHHACHG K H@FQG CI]@AHCHG

ã

> ^EKL@

CL LCI@KACDDKHG JC EI Q@IJGLG BKQG]GLHG BGI KHHACHG

ã

@h w

@A ^EKLC J@C ?@ˆE@IHC FGHC EICJCF@I?CGIKLC Le@I@AˆCK F@BBKICBK Ì BGI?@A]KHK

ã <= Ü Ó Õ IJKL  N= Ü Ó Õ  Ó O= Ü Ó Õ  å Ó  ë S= Ü Ó Õ  å Ó  à U= Ü Ó Õ Ó  ë V= Ü Ó Õ Ó ë M= Ü Ó Õ Ó  ß Ó X= Ü Ó  ß Ó   å Ó Õâ Y= Ü Ó Õ Óß <Z= Ü Ó Õ MN   Ò Ó áO ë Ô

TI JE@ J@ˆLC @?@FQC QA@B@J@IHCu KIBc@ ?@ Le@I@AˆCK F@BBKICBK IGI ?C BGI?@A]Ku BeÌ EI

CIH@ˆAKL@ QACFG J@L FGHGu JCQ@IJ@IH@ JKL H@FQGu Bc@ I@ Q@AF@HH@ LeKIKLC?C ^EKLCHKHC{

]K= EKLC ?GIG

ã

EKL Ì LeCIH@AQA@HKDCGI@ Ÿ?CBK JC HKLC CIH@ˆAKLC QACFC

ã g]@JC LeCICDCG J@LLe@?@ABCDCG < =S = Uh= W@JC ?@DCGI@N=<=NO »¼P ½QÄÊÃÂÆÈÂ ËÂÈ¿ÊÀÂ 

@C H@?HC JC KIKLC?CFKH@FKHCBK LeK?Q@HHG ^EKLCHKHC]G ÌHCQCBKF@IH@?GHHGAKQQA@?@IHKHG= W@JC CI]@B@ C H@?HC JC bAIGLJ

Í<u NÎ @ CI ˆ@I@AKL@C LCRAC JC `@BBKICBK=

ÏÐÛÐÏ

PCI@KACDDK Le@^EKDCGI@J@L Q@IJGLG

Ü R Õ á# Ý  å R

(12)

\@?BAC]C L@HAKC@HHGAC@I@LLG ?QKDCG J@LL@aK?C JC ß V ÕWVÞ Q@A W Õ X â à à Y Þ X â à á à Y Þ X â á à à  Y ÞX â á à á à  Y Þ KL ]KACKA@JC   gKIBc@ I@ˆKHC]Gh= ÏÐÛÐì z

c@ A@LKDCGI@J@]GIG ]@ACŸBKA@ LK FKHACB@

W @ CL ]@HHGA@ Z KIBc§ CL ?C?H@FK ß V ÕWV    Òë Ô Z

KFF@HHK EIK ?GLEDCGI@Q@ACGJCBK JC Q@ACGJG ë

ã

gvEˆˆ@ACF@IHG y B@ABK ?GLEDCGIC J@L HCQG  åÒë Ô[    Òë Ô\ h= ÏÐÛÐ 7 z GI?CJ@AK CL ?C?H@FK LCI@KA@ ß V ÕWVÞ BGI JKHG CICDCKL@ V Ò âÔÕVÝ = w

AG]K Bc@LK ?GLEDCGI@ÌLCI@KA@I@LJKHG CICDCKL@= E@?HG CFQLCBK Bc@@?C?H@EIK FKHACB@

] Òë Ô HKL@ Bc@ V Òë ÔÕ ] Òë ÔVÝ = w AG]K Bc@LK FKHACB@ ] Òë Ô

QE^ @??@A@GHH@IEHK BGF@ ?GFFK J@LLK ?@AC@JC FKHACBC y ]Òë ÔÕ éê _ `a Ý ë` W ` bc & w@A ^E@?HG FGHC]G ]Òë Ô ?C CIJCBK ?Q@??G BGI Id ç

= g vEˆˆ@ACF@IHGy LG ?QKDCG J@LL@ FKHACBC BGI LK IGAFK e

W e Õ æ Mfg h g a 3 ÖW Ò ÿÔÖ Ì BGFQL@HG @ ]KL@ e Wi e . e W ee i

e= PK ?@AC@ Ì EIK ?@AC@ JC QGH@ID@ CI ë ^ECIJC cK EI AKˆˆCG JC

BGI]@Aˆ@IDKuJ@H@AFCIKLG @J@AC]K H@AFCI@ K H@AFCI@h=

»¼ j kÆÇ lÆÀÃÊÇ ¿ ¾ÅÆÀÃÊÇÂ

w

@A L@ G?BCLLKDCGICaGADKH@ @ ?FGADKH@ FC ]@IˆGIG CI F@IH@ JE@H@?HC y CL PKIJKE ÍYÎ @CL ŠKLLK]GHHC ÍVÎ= ÏÐìÐÏ | C?GL]C CL FGHG Ü Ó Õ á  ß Ó  Òà    Ò # ë ÔÔ = >?C?HGIG ?GLEDCGIC ?HKDCGIKAC@ ã >?C?HGIG FGHC Q@ACGJCBC ã >?C?H@ äåæçèéê Ó Òë Ôã ÏÐìÐÛ | C?GL]C Ü Ó Õ áÓá Ú ß Ó   åÒë Ô    Ò Úë ÔÞ BGI JKHG CICDCKL@ Ò âÞâÔ uQ@A  Õâ @  Õ  m =

(13)

vCK nÒë

Ô

EIK aEIDCGI@ Q@ACGJCBK JC Q@ACGJG o

Õ " p = b??EFC Bc@ ?CK KLF@IG JC BLK??@ q gJ@AC]KRCL@ JE@ ]GLH@ BGI

J@AC]KHK ?@BGIJK BGIHCIEK @ LCFCHKHKh=

PK aEIDCGI@ n QE^ @??@A@ ?]CLEQQKHK CI ?@AC@JC “GEAC@A y nÒë Ô Õ _ rst= r Iu p r ç Þ JG]@ = r Õ 3 v w v Ý x ë Iyu p r ç nÒë Ô x ë & |CBGAJK Bc@ = y r Õ z = r uQ@A LK A@KLH‰ JC nu @ Ö = r Ö . { r Q@A 1 | Õ â gQ@A LeCQGH@?C q h=

‚AG]K Q@A ?@AC@EIK ?GLEDCGI@ QKAHCBGLKA@ JC

Ü Ó Õ áÓ á Ú ß Ó  nÒë ÔÞ Q@A  Õ â @  Õ  m uKL ]KACKA@JC # = zc@

BGIJCDCGIC J@]C CFQGAA@ ?E

= r @ # KIBc§CL FGHG ?CK LCFCHKHG ã ÏÐìÐ 7 z

GI?CJ@AK LeG?BCLLKHGA@ KAFGICBG aGADKHG

Ü Ó Õ á# Ý Ó    Ò # ë Ô& w @A ^EKLC ]KLGAC JC # @?C?HGIG FGHC Q@ACGJCBC ã w

AG]K Bc@ HEHHC C FGHC ?GIG Q@ACGJCBC ?@ @ ?GLG ?@ p}

p

ÌAKDCGIKL@ @JC]@A?G JK à=

wAG]K Bc@ ?@ p}

p

Ì CAAKDCGIKL@uCL FGHG I@LLG ?QKDCG J@LL@ aK?C AC@FQC@ J@I?KF@IH@ EIK A@ˆCGI@= zc@ A@ˆCGI@ Ì

ã

gvEˆˆ@ACF@IHGy ]@JC Le@?@ABCDCG <=S= Nh

ÏÐìÐ 7 z GI?CJ@AK CL FGHG Ü Ó Õ áÓ  ,~ â . Ó . à ,~ ß Ó Ù â =

Pe@I@AˆCK F@BBKICBK ?C BGI?@A]K

ã

zGI?CJ@AK CL JKHG CICDCKL@ Ò

ÓÝÞ ÓÝß Ô Õ Ò

âÞâÔ

= |C?GL]C @?QLCBCHKF@IH@ CL FGHG ŸIG KL QACFG H@FQG JC ACHGAIG J@L

QEIHG FKH@ACKL@CI

Ó Õâ

BGI ]@LGBCH‰ QG?CHC]K=

zGF@ K]]C@I@CL FGHG ŸIG KL ?@BGIJG ACHGAIG

ã

> JGQG

ã

vCK ë

r

CL H@FQG CI BEC CL QEIHG FKH@ACKL@ACHGAIK CI

Ó Õâ BGI ]@LGBCH‰ QG?CHC]K= ‚AG]K äåæ r èéêÒë r á ë r y3 Ô =

gW@JC LK QKAH@ ?ELLG û?BKQQKF@IHG KJ KIBGAKü ?EL ŠKLLK]GHHC ÍVÎ h

»¼€ ËÁÄÈ ¿¾¿ÀÁÂàÁ‚Âʃ¿ ÏÐÐÏ íî ïðññòî óôõî õðø îööòöð z GI?CJ@AK CL FGHG Ü Ó Õ Ó áÓý á  ß Ó

gFGHG I@LLK JGQQCK REBK JC QGH@IDCKL@ BGI KHHACHGh= P@ QG?CDCGIC JC @^ECLCRACG

?GIG Ó 3 Õ àu Ó Õ á àu Ó ý Õâ = Kh w AG]K Bc@ Ó 3„ ?GIG QG?CDCGIC JC @^ECLCRACG ?HKRCLCu@ Ó ý Ì CI?HKRCL@=

Rh wAG]K Bc@ Q@A ^EKLEI^E@ JKHG CICDCKL@ LK HAKC@HHGACK BGI]@Aˆ@ KJ EIK J@LL@QG?CDCGIC JC

@^ECLCRACG=

Bh zcC@JCHC ?@ @?C?HGIG HAKC@HHGAC@IGI ?HKDCGIKAC@Bc@ H@IJGIG K

Ó

ý =

Jh \@H@AFCIK^EKLCHKHC]KF@IH@LKA@ˆCGI@J@LLG?QKDCGJ@LL@aK?CBc@ÌKHHAKHHKJK

Ó 3 @^E@LLK KHHAKHHK JK Ó

g vEˆˆ@ACF@IHGy JC?@ˆIK I@LLG ?QKDCG J@LL@aK?CL@GARCH@J@L?C?H@FK ?@IDK

KHHACHG @ C FGHC J@L ?C?H@FK BGI KHHACHG Bc@H@IJGIG KLLK QG?CDCGI@JC @^ECLCRACG

Ó

=

(14)

zGI?CJ@AK EIK QELB@ ?E EIK BCABGIa@A@IDKu Bc@ KL H@FQG CICDCKL@ ?CK I@L QEIHG JC KIˆGLG KL B@IHAG R

Õ â

= bJ GˆIC

?@BGIJG LK QELB@a‰ EI ?KLHG JC EI KIˆGLG Ø= vCK R r u BGI â . R r > Ú '

uLK QG?CDCGI@J@LLK QELB@ KL ?@BGIJG

1 = Kh wAG]K Bc@ ?@ × " Ì AKDCGIKL@CL FGHG J@LLK QELB@Ì Q@ACGJCBGuBCGÌ @?C?H@ 1 HKL@ Bc@ R r Õ â Rh w AG]K Bc@ ?@ × " ÌCAAKDCGIKL@LK QELB@ IGI HGAIK FKC CI R Õâ = Bh v@FQA@I@L BK?G × " ‡ ˆ

u QAG]K Bc@@?C?H@ EIK ?EBB@??CGI@ BA@?B@IH@JC CIH@AC

b r HKL@ Bc@ äåæ r èéê R `‰ Õâ = Jh v@FQA@I@L BK?G × " ‡ ˆ u QAG]K Bc@ Q@A GˆIC R

@?C?H@ EIK ?EBB@??CGI@ BA@?B@IH@JC CIH@AC

b r HKL@ Bc@ äåæ r èéê R `‰ Õ R

gCI KLHA@ QKAGL@ CL FGHG Ì d J@I?Gd ?ELLK BCABGIa@A@IDKuG

KIBc@ Le

LCFCH@ J@L FGHG Ì HEHHK LK BCABGIa@A@IDK=

gW@JC bAIGLJ ÍNÎh

ÏÐÐì ú … òöðøð† ñîö÷ 

z

GI?CJ@AK CL ?@ˆE@IH@FGHG J@LL@ ]KACKRCLC Q@ACGJCBc@ R 3 Òë Ô @ R Òë Ô g?GIG KIˆGLC HAK â @ Ú ' uBCGÌ ÒR 3 Þ R Ô J@?BAC]GIG EI HGAG RCJCF@I?CGIK L@hy R 3 Òë ÔÕ# 3 ë R Òë ÔÕ# ë & TL FGHG CI GˆIEIK J@LL@ ]KACKRCLC R u Ì Q@ACGJCBG JC Q@ACGJG o u Õ " pŠ = w AG]K Bc@ CL FGHG BGFQL@??C]G Ì Q@ACGJCBG ?@@ ?GLG ?@ p} p Ì AKDCGIKL@= w

AG]K Bc@ I@L BK?G IGI Q@ACGJCBG CL FGHG Ì J@I?G ?EL HGAG= gW@JC b

AIGLJ Í NÎh

ÏÐÐ 77

‚AKHHG JKLLebAIGLJ JC >^= \CH= Í NÎ

zGI?CJ@AK LK ?EBB@??CGI@aGAFKHK JKLL@ QACFK BCaAK J@LLe@?QA@??CGI@ J@BCFKL@ JC Ú`y

Ú Ý Õ à $ à Ú 3 Õ Ú $ Ú Ú Õ‹ $ ‹ Ú ý Ռ $ Œ Ú  Õ à $ à Ú m Õ O Ú $ O Ú  Õ  ‹ $ 

&&&

zG

FQKA@CL Ž I@LLK ?EBB@??CGI@

ã

zG

FQKA@QCœ aA@^E@IH@F@IH@ CL  G Le

΋

w

Cœ CI ˆ@I@AKL@ Ú`

QE^ CICDCKA@ BGI EIK ?@^E@IDK KARCHAKACK JC BCaA@

ã

ÏÐÐ ø ÷÷Fñòð ïò òøGîòîøö÷ îïòîóîöòõð

zGF@?C FEG]@EI QEIHG FKH@ACKL@ ?Gˆˆ@HHG KJ EIK aGADK JC @I@AˆCK QGH@IDCKL@Ñ Ò

ÓÞ ë ÔÕ Ñ Ò Ó á = ë Ô BGI = BG?HKIH@ ã

zGF@ ?C FEG]@ EI QEIHG FKH@ACKL@ CI QA@?@IDK JC EIK QKA@H@ CIŸICHKF@IH@ ACˆCJK Bc@ ?C FEG]@ BGI ]@LGBCH‰

BG?HKIH@

= ã

fI QEIHG FKH@ACKL@JC FK??K



?C FEG]@HAK JE@QKA@HC CIŸICHKF@IH@ACˆCJ@uLK QACFKŸ??K CI

Ó Õâ @LK ?@BGIJK CI Ó Õ  Òë Ô Õ Ý á :ëuBGI :  â

= bLLeC?HKIH@ CICDCKL@ CL QEIHG Ì CI

Ó Õ â

BGI ]@LGBCH‰

ÿ

= \@H@AFCIKu I@L äåæ9è

Ý u CL

FGJELG J@LLK ]@LGBCH‰ J@L QEIHG I@LLeC?HKIH@CI BEC LK RKAAC@AK FGRCL@ Ì KAAC]KHK CI

Ó Õ 3 = wAG]K QCœ CI ˆ@I@AKL@Bc@äåæ9è Ý Öÿ ? ç 9@ ? ç 9@ÖÕÿÝ =

vEˆˆ@ACF@IHG y ?EQQGIC Bc@ KL H@FQG ë Ý LK RKAAC@AK FGRCL@ ?CK CI 6 @ LK QKAHCB@LLK ?CK CI â BGI ]@LGBCH‰ ÿ = zK LBGLK CL H@FQG ë 3 JC ACHGAIG J@LLK QKAHCB@LLK CI â uLK ]@LGBCH‰ Bc@ cK LK QKAHCB@LLK @ LK QG?CDCGI@ J@LLK RKAAC@AK FGRCL@=  GHK _

(15)

3

Ý

ACBGA?C]KF@IH@Q@A C ACHGAIC ?EBB@??C]Cu@ J@H@AFCIK LK ?EBB@??CGI@J@C H@FQC JC EAHG BGI LK QKA@H@Ÿ??K===

 887m‡9k2047 “C?CBKF@IH@ Öÿ Òë Ԑ Òë ÔÖ

cK L@ JCF@I?CGIC JC EIK @I@AˆCK Q@A CL H@FQG gcK L@ JCF@I?CGIC J@LLeKDCGI@h= w@A



BG?HKIH@u LeKDCGI@ Ì QAGQGADCGIKL@ KLLeKA@K AKBBcCE?K JKLLeGARCHK I@LLG ?QKDCG J@LL@ aK?C gBc@ CI ^E@?HG BK?G Ì EI

A@HHKIˆGLG‘h= ’ G]]CG Bc@ äåæ9è ÝÖÿ Òë Ԑ Òë ÔÖ Õ ÿÝÝ u CIaKHHC Q@A : Õ â

LK RKAAC@AK Ì a@AFK= E@?HG LCFCH@ IGI Ì EICaGAF@ CI ë=

\KLLe@?@ABCDCG QEGC IGHKA@Bc@KJ EI H@FQG J@LLeGAJCI@ JC

3 9 LK ]KACKDCGI@ JC Ö Ñ Òë Ԑ Òë ÔÖ AC?Q@HHG K ÿÝÝ Ì JC GAJCI@ :=

zCGÌ LeKDCGI@ Ì QAKHCBKF@IH@ CI]KACKIH@u AC?Q@HHG K ]KACKDCGIC L@IH@ gKJCKRKHCBc@h J@C QKAKF@HAC Ÿ?CBC Bc@ ˆG]@A{

IKIG CL FGHG=

w

@A FKˆˆCGAC J@HHKˆLC ]@JC LebAIGLJ Í< Î@ CL PKIJKE ÍYÎ=

ÏÐÐ íî óôõî Gîòîóòú÷ òGòòöîöî

gbEHGA@ >= zKˆLCGHCh

Pe@?@ABCDCG QA@B@J@IH@ cK EIK CIH@AQA@HKDCGI@H@AFGJCIKFCBK=

’

aKBCL@CJ@IHCŸBKA@Le@I@AˆCKCIH@AIKy ]

Õ 3 ÿ = ’

KIBc@aKBCL@CJ@IHCŸBKA@CL d]GLEF@ey ?KA‰ Ñ

Õ 

= PK QA@??CGI@

Ì Ÿ?CBKF@IH@ LK aGADK @?@ABCHKHK ?ELLeEICH‰ JC ?EQ@AŸBC@ Bc@ AKBBcCEJ@ CL F@DDG= \eKLHAK QKAH@ CI ^E@?HG BK?G LK

?EQ@AŸBC@ Ì EI QEIHG g

Ó Õ â

GQQEA@

Ó Õ 

h= v@ EI QEIHG FKH@ACKL@ ?ERC?B@ CI EI B@AHG H@FQG “ë EIK ]KACKDCGI@

JC CFQEL?G “Ò ÿÔ u LK aGADK Bc@ Ì ?HKHK @?@ABCHKHK ?E JC @??G Ì ” B • h C ” ç = w@A EI EAHG I Ó Õ â LK ]KACKDCGI@ JC CFQEL?G Ì Ú ÖÿÖ

= @L IG?HAG BK?G IGI BeÌ ]KACKDCGI@ JC CFQEL?G ?@ IGI ^EKIJG LK FK??K HGBBK

Ó Õ â

= w@A JKA@ ?@I?G

KLLK QA@??CGI@u?CQE^ Q@I?KA@JC BGI?CJ@AKA@LeCFQEL?G ?BKFRCKHG BGI LK QKA@H@Q@A EI H@FQG ?EBC@IH@F@IH@LEIˆG

KIBc§K]]@IˆKIGFGLHCEAHCuFK?EBC@IH@F@IH@QCBBGLGKIBc§LK]KACKDCGI@JG]EHK KLFGHGJ@LLK RKAAC@AKFGRCL@

IGI ?CK ?CˆICŸBKHC]K gK??EIDCGI@QG??CRCL@ ?@ : Ì FGLHG QCBBGLGh= TI KLHA@ QKAGL@y

– Õ Ú ÖÿÖ 1 — r Þ JG]@ 1

Ì CL IEF@AG JC ]GLH@ Bc@ LK FK??K EAHK LK QKA@H@ CI

Ó Õ â u @

—

r

Ì CL H@FQG I@B@??KACG Q@A aKA@

1 EAHC= >]CJ@IH@F@IH@ — r ˜ 1 ™ g h g g Ú 

Ì LK JC?HKIDK JK Q@ABGAA@A@Q@A HGAIKA@ CI

Ó Õ â @

ÿ

Ì LK ]@LGBCH‰h=

TI J@ŸICHC]Ku LeCIH@AQA@HKDCGI@ H@AFGJCIKFCBK J@L FGHG JC EIK QKAHCB@LLK HAK JE@ QKA@HC Q@Aa@HHKF@IH@ ACˆCJ@ K

JC?HKIDK  J‰ y ] Õ 3 ÿ Ñ Õ  – Õ • h ™ & wAG]K Bc@ ?@ 

]KACK FGLHG L@IHKF@IH@u

o xš Õ x ]  – x Ñ Õ âÞ BCGÌLK HAK?aGAFKDCGI@Ì KJCKRKHCBK=  887m‡9k2047

“KA@ LK H@AFGJCIKFCBK JC EIK ?GLK QKAHCB@LLK Ì KRRK?HKIDK QAC]G JC ?@I?G= vC QG??GIG BGI?CJ@AKA@u QCœ BGA{

A@HHKF@IH@u FGLHC??CF@ QKAHCB@LL@ HAK L@ QKA@HCu Bc@ IGI EAHKIG HAK JC LGAG= E@?HK ?CHEKDCGI@ QE^ aKA Q@I?KA@ KJ

EI ˆK? Q@Aa@HHGu Q@A BEC LK H@AFGJCIKFCBK cK ?@I?Gu@ LK QA@??CGI@ Ì BCI@FKHCBKF@IH@ J@ŸICHK KHHAK]@A?G LeCFQEL?G

?BKFRCKHG BGI L@ QKA@HC= ‚@I@H@ QA@?@IH@u Q@A^u Bc@ EI CI?C@F@ JC QKAHCB@LL@ Bc@ IGI EAHKIG HAK LGAG x ?GIG EI

ˆK? Q@Aa@HHG= TIaKHHC FKIBK CL F@BBKIC?FG JC H@AFKLCDDKDCGI@HCQCBGuKJ @?@FQCGuJ@LLe@^EKDCGI@JC ›GLHDFKII=

ÏÐÐ œúöò ÷÷Fñò ïò òøGîòîøöò îïòîóîöòõò

‚@GA@FK J@LLeCI]KACKIDK KJCKRKHCBK=

vEQQGIC JC K]@A@ EI FGHG EICJCF@I?CGIKL@ CI BEC Le@I@AˆCK HGHKL@u GLHA@ Bc@ JCQ@IJ@A@ JKLLK QG?CDCGI@ @ JKLLK

]@LGBCH‰u JCQ@IJK JK EI QKAKF@HAG u BCGÌ þ

Õ þÒ ÓÞÓßÞ  Ô = zG F@ @?@FQCG QEGC Q@I?KA@ K þ Õ 3  ß Ó  Ñ Ò ÓÔ u JG]@

LK FK??K ?H@??K Ì CL QKAKF@HAG uGQQEA@þ

Õ 3   ß  á     u JG]@ cK L@ JCF@I?CGIC JC EIK LEIˆc@DDK=

(16)

Ô

?QKDCG J@LL@aK?CuJ@LLK A@ˆCGI@AKBBcCE?K JKLLeGARCHK JC @I@AˆCK þ=

zGI?CJ@AK GAK CL FGHG BGI @I@AˆCK HGHKL@ JCQ@IJ@IH@ JKL H@FQG KHHAK]@A?G y þ

Õ þÒ ÓÞÓßÞ :ë Ô uBGI : QCBBGLG= TL H@GA@FK KJCKRKHCBG KH@AFK Bc@ Ö Ò þÒë ÔÔá Ò þÒ âÔÔÖ .= : Þ Q@A â . ë . 3 9 =

TI KLHA@ QKAGL@uQ@A ]KACKA@ LeKDCGI@ JC : J@]G K?Q@HHKA@ EI H@FQG JC GAJCI@

3 9 =

TI ^E@?HG @IEIBCKHG FKIBKIG J@LL@ CQGH@?C CFQGAHKIHC= w@A Le@IEIBCKHG QA@BC?G @ Q@A LK JCFG?HAKDCGI@]@JCu HAK ˆLC

KLHACuLebAIGLJ Í<Î

zG

I?CJ@AK EI Q@IJGLG LK BEC FK??K JCFCIEC?B@ L@IHKF@IH@ BGI CL H@FQG= \C ^EKIHG ]KACK LeKFQC@DDK J@LL@

G?BCLLKDCGIC ?@ LK FK??K ?C JCF@DDK

ã

fIK FK??K ÌKQQ@?K KJ EI ŸLG @J G?BCLLK= v@JCF@DDG L@IHKF@IH@LK LEIˆc@DDK J@L ŸLGuBGF@BKFRCK LeKFQC@DDK

J@LL@ G?BCLLKDCGIC

ã

zG

I?CJ@AK CL FGHG EICJCF@I?CGIKL@JC @I@AˆCK HGHKL@

à Ú ß ž  ) Ú ž á 1 ž &

zGI?CJ@AKEI JKHG CICDCKL@Bc@BGFQCK QCBBGL@G?BCLLKDCGICCIHGAIGKLLK QG?CDCGI@JC @^ECLCRACG?HKRCL@= v@

1

?CJCF@DDK

FGLHG L@IHKF@IH@uBGF@BKFRCK CL FGHG

ã

g[[h fI ?KH@LLCH@ CI GARCHK CIHGAIG KLLK ‚@AAK J@?BAC]@ EIeGARCHK QGBG @BB@IHACBK= zG

F@ BKFRCK LeGARCHK ?@ CL

FGF@IHG J@LLK ^EKIHCH‰ JC FGHG J@L ?KH@LLCH@ AKJJGQQCK FGLHG L@IHKF@IH@

ã »¼Ÿ ËÇÀ ¿¾¿ÀÁÂà¾Ä ÅÆÇ ÄÈÂÉÂſȾÂÆÈÊË  P¡¡»¢ ÏÐ ÐÏ vCK Ñ Ò ÓÔ Õ MN £ M Ò ÓÔ  Ø à  Ó

Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= bL ]KACKA@ JC Ø



u JC?@ˆIKA@

^EKLCHKHC]KF@IH@ L@ GARCH@I@LLG ?QKDCG J@LL@aK?C= TI QKAHCBGLKA@

¤

J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH‰

¤ JKHG Ò

ÓÝÞÓßÝÔÕ Ò

âÞâÔ

u JKHG CICDCKL@uJ@H@AFCIKA@äåæçèéêÒ

Ó Òë ÔÞÓß Òë ÔÔ zGI?CJ@AKA@GAK CL FGHG Ü Ó Õ á x x Ó Ñ á¥Óß uBGI ¥ â

= \@H@AFCIKA@L@ QG?CDCGICJC @^ECLCRACG @JC?BEH@AI@LK ?HKRCLCH‰=

w@A Ø  á à @ ¥ â J@H@AFCIKA@äåæçèéêÒ Ó Òë ÔÞÓß Òë ÔÔ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞâÔ =

g[h |C?GL]@A@u ^EKLCHKHC]KF@IH@uCL QEIHG QA@B@J@IH@I@L BK?G Ø

. á à= g[h v@FQA@I@L BK?G ¥ â u @?C?H@ ÿ â HKL@ Bc@ Q@A CL FGHG JC JKHG CICDCKL@ Ò âÞÿÔ ]KL@äåæçèéê Õ % ã ÏÐ ÐÛ vCK Ñ Ò ÓÔ Õ MN £ M Ò ÓÔ  Ø Ó à  Ó

Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= bL ]KACKA@ JC Ø



u JC?@ˆIKA@

^EKLCHKHC]KF@IH@ L@ GARCH@I@LLG ?QKDCG J@LL@aK?C= TI QKAHCBGLKA@

¤

J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH‰

¤ JKHG Ò

ÓÝÞÓßÝÔÕ Ò

âÞâÔ

u JKHG CICDCKL@uJ@H@AFCIKA@äåæçèéêÒ

Ó Òë ÔÞÓß Òë ÔÔ ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞÿÔ uQ@A ^EKLC ]KLGAC JC ÿ uCI aEIDCGI@ JC Øu äåæçèéê Ó Òë ÔÕ % ã

(17)

vCK ÑÒ

ÓÔ Õ Ó 

Iy

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@ I@LLG

?QKDCG J@LL@aK?C= TI QKAHCBGLKA@

¤

J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH‰

¤

J@H@AFCIKA@ LK aA@^E@IDK J@LL@QCBBGL@G?BCLKDCGICCIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG

?HKRCLC ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞÿÔ uQ@A ^EKLC ]KLGAC JC ÿ ]KL@ äåæçèéê Ó Òë Ô Õ % ã TI HKL BK?G› ¦ ^EKIHeÌ äåæçèéê ß Ó Òë Ôã ¦ BGI Bc@ ]@LGBCH‰uCI aEIDCGI@JC ÿ uCL QEIHG QK??K Q@A Ó Õ‹ã ¦

JKA@ Le@?QA@??CGI@ J@L H@FQG Bc@ CL QEIHG FKH@ACKL@ CFQC@ˆK Q@A KAAC]KA@ CI

Ó ÕŒ uCI aEIDCGI@ JC ÿ = ÏÐ Ð vCK Ñ Ò ÓÔ Õ áÓ Iy

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@ I@LLG

?QKDCG J@LL@aK?C= TI QKAHCBGLKA@u

¤

BKLBGLKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC JC @^ECLCRACG

?HKRCLC ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò Ú ÞÿÔ u Q@A ^EKLC ]KLGAC JC ÿ CL FGHG H@IJ@ K % ã > Q@A ^EKLC H@IJ@ K á % ã

TI HKL BK?G BKLBGLKA@CI ^EKIHG H@FQG CL QEIHG FKH@ACKL@AKˆˆCEIˆ@

á % = ÏÐ Ð vCK Ñ Ò ÓÔ Õ Ó Ú  Ø à  Ó

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@

I@LLG ?QKDCG J@LL@aK?Cu KL ]KACKA@ JC Ø



= TI QKAHCBGLKA@u

¤

J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH‰

¤ Q@A Ø

Õ

à J@H@AFCIKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC

JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ à Ú

J@H@AFCIKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC

JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ à @ Q@A CL JKHG CICDCKL@ Ò á à ÞÿÔ u J@H@AFCIKA@ C ]KLGAC JC ÿ Q@A ^EKLC CL FGHG QK??K Q@A Ó Õ

à= \KA@ Le@?QA@??CGI@J@L H@FQG CFQC@ˆKHGuCI aEIDCGI@ JC

ÿ =

¤

BGI C JKHC J@L BK?G QA@B@J@IH@uBGI Bc@]@LGBCH‰ CL QEIHG FKH@ACKL@QK??K Q@A

Ó Õâã ¤ g[h J@H@AFCIKA@äåæ§ èéê oÒ þ Ô uJG]@oÒþ Ô Ì CL Q@ACGJG J@L FGHG JC @I@AˆCK þ= ¤ g[h ?@FQA@Q@A Ø Õ àuJC?BEH@A@C ]KLGAC JC o Q@AC ^EKLC @?C?H@ EI FGHG Q@ACGJCBG JC Q@ACGJG o= ÏÐ Ð vCK Ñ Ò ÓÔÕ á Ó Ú  Ø à  Ó

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@

I@LLG ?QKDCG J@LL@aK?Cu KL ]KACKA@ JC Ø



= TI QKAHCBGLKA@u

¤

J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH‰

(18)

¤ Õ á JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ á Ú@ ÓÝ Õâ

uJ@H@AFCIKA@C]KLGAC J@LLK ]@LGBCH‰CICDCKL@

ÿ

Q@AC ^EKLCCL FGHG

ÌCLLCFCHKHG

¤

I@LBK?GJ@CJKHCJ@LQEIHGQA@B@J@IH@u?@CLFGHGÌCLLCFCHKHGuJ@H@AFCIKA@äåæçèéê Ó Òë Ô ß Ó Òë Ô u KL ]KACKA@ JC ÿ ÏÐ Ð vCK Ñ Ò ÓÔ Õ 5 à  Ó  Ø à  Ó

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@

GARCH@I@LLG ?QKDCG J@LL@ aK?CuKL ]KACKA@ JC Ø



= TI QKAHCBGLKA@u

¤

J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH‰

¤

J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG

?HKRCLC ¤ ?@ Ò á à ÞâÔ

Ì CL JKHG CICDCKL@uQ@A ^EKLC ]KLGAC JC Ø CL FGHG ÌQ@ACGJCBG

ã ¤ g[h J@H@AFCIKA@äåæ§èéêoÒ þ Ô uJG]@oÒþ Ô Ì CL Q@ACGJG J@L FGHG JC @I@AˆCK þ= ÏÐ Ð( vCK Ñ Ò ÓÔ Õ á 5 à  Ó  Ø à  Ó

= Le@I@AˆCK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@ ^EKLCHKHC]KF@IH@ L@

GARCH@I@LLG ?QKDCG J@LL@ aK?CuKL ]KACKA@ JC Ø



= TI QKAHCBGLKA@u

¤

J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH‰

¤

J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG

?HKRCLC ¤ ?@ Ò á à ÞâÔ

Ì CL JKHG CICDCKL@uQ@A ^EKLC ]KLGAC JC Ø CL FGHG ÌQ@ACGJCBG

ã ¤ ?CK Ò âÞÿÔ CL JKHG CICDCKL@›Q@A ^EKLC ]KLGAC JC ÿ CL FGHG ÌCLLCFCHKHG ã ¤

g[h I@L BK?G J@C FGHC CLLCFCHKHC J@L QEIHG QA@B@J@IH@u J@H@AFCIKA@ äåæ

çèéê ß Ó Òë Ô Ó Òë Ô u KL ]KACKA@ JC ÿ = ÏÐ Ð0 vCK ÑÒ ÓÔÕÓ  Ø à  Ó

= Le@I@AˆCK QGH@IDCKL@JC EI FGHG EICJCF@I?CGIKL@= \C?@ˆIKA@^EKLCHKHC]KF@IH@L@GARCH@ I@LLG

?QKDCG J@LL@aK?CuKL ]KACKA@JC Ø



= TI QKAHCBGLKA@u

¤

J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH‰

¤

J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG

?HKRCLC ¨ ©´ º¶ª+´)+ *-«º+ -¸-¬,+ª+ ¸¶+ · ´µ + ¶)+*+·-)¸+´)¹º+ P¼» kÆÇ ÄÈÂÉÂſȾÂÆÈÊË ÛÐÏÐÏ

Pe@I@AˆCK QGH@IDCKL@ ÌEIK aEIDCGI@ ?CFF@HACBK AC?Q@HHG KLLeK??@ J@LL@­= \EI^E@

oÒþ ÔՋ® ¯ B§ C Ý x Ó ° ÚÒþ á Ñ Ò ÓÔÔ Þ g N=<h

(19)

JG]@ Ó Ò þ ÔÕ þ } ± = zK

FRCKIJG ]KACKRCL@ JC CIH@ˆAKDCGI@ y oÒ þ ÔÕ þ } ± y } Ú 5 Ú ® 3 Ý x ­ 5 à á ­ ×

TL Q@ACGJG IGI JCQ@IJ@ JKLLe@I@AˆCK ?GLG ?@ Ø

Õ

Ú gQGH@IDCKL@ KAFGICBGh= v@ Ø

 Ú äåæ§è Ý oÒ þ ÔÕ % = ÛÐÏÐÛ ’

EIe@^EKDCGI@ JCH@A@IDCKL@LCI@KA@= ‚AG]KIJG ˆLC D@AC J@L QGLCIGFCG BKAKHH@AC?HCBG  Õ àuGHHC@IC Bc@ LK ?GLEDCGI@ Ì Ó Òë Ô Õ = 3 Iy ç  = I ç u BGI ß Ó Õ á = 3 Iy ç  = I ç = TFQGI@IJG CL JKHG CICDCKL@y à Õ = 3  = á à Õ á = 3  = Þ JEI^E@ = 3 Õ àu = Õ â @ CL FGHG Ì Ó Òë Ô Õ Iy ç

= TL H@FQG Q@A AKˆˆCEIˆ@A@

â

Ì CIŸICHG= P@ HAKC@HHGAC@ BGI

Ó Òë

Ô $ â

?GIG HEHH@ @ ?GL@ ^E@LL@ BGI

=

Õ â

› @??@ ?GIG KIBc@ HEHH@ @ ?GL@ L@ HAKC@HHGAC@ BGI

ß Ó Òë Ô$ â = \EI^E@ C JKHC CICDCKLC ACBcC@?HC ?GIG Ò ÓÝÞÓßÝÔÕ Ò = Þ á = Ô uBGI =  = ÛÐÏÐì íî ïðññòî óôõî ïò ñðö÷øùòîú÷ TL ]KLGA@ FCICFG J@LLe@I@AˆCK Ì á3 

= bJ @??G BGAAC?QGIJGIG JE@ QG?CDCGIC JC @^ECLCRACG

Ó Õ ²

à= vGIG ?HKRCLC Q@ABcÌ

?GIG QEIHC JC FCICFG J@LLe@I@AˆCK QGH@IDCKL@= w@A

á 3  > þ > â

@?C?HGIG JE@ GARCH@Q@ACGJCBc@= w@A þ

Õ â

u cKC HA@

GARCH@u LK ?GLEDCGI@ JC @^ECLCRACG

Ó Õ â

u Bc@ Ì CI?HKRCL@ @@?@IJG EI FK???CFG LGBKL@ J@LLe@I@AˆCK QGH@IDCKL@u @ JE@

GARCH@K F@HK K?CIHGHCBK= w@A þ

cKC EIeGARCHK Q@ACGJCBK=

\KL ACHAKHHG JCaK?@ ?C J@JEB@aKBCLF@IH@Bc@LKHAKC@HHGACKJCJKHG CICDCKL@ Ò

ÓÝÞÓÝß ÔÕ Ò á à ÞÿÔ QK??K Q@A Ó Õ à ?@@ ?GLG ?@ Le@I@AˆCK HGHKL@Ì FKˆˆCGA@JC â uBc@Ì CL ]KLGA@J@L FK??CFG LGBKL@JC Ñ = \EI^E@ 3 ÿ á 3  â uBCGÌ ÖÿÖ 3 ³ = TL ]KLGA@JC Ñ CI Ó Õ á à@ Ó Õ

àÌCJ@IHCBG›JEI^E@Q@A LK BGI?@A]KDCGI@J@LLe@I@AˆCKuKIBc@CL ]KLGA@JC

ÖÓß ÌCJ@IHCBG= ECIJCuKL QACFG QK??KˆˆCG Q@A Ó Õ àu LK ]@LGBCH‰ Ì ß Ó Õ ÖÿÖ =

@L ACHAKHHG J@LLeGARCHK I@LLG ?QKDCG J@LL@ aK?CuLK BEA]K JC @I@AˆCK þ

Õ â Ì J@?BACHHK JK ß Ó Õ ²´ ÚÒ  á    Ô = PK

HKIˆ@IH@ J@LLeKIˆGLG ACBcC@?HG Ì

äåæ Ó $ â é x x Óµ ÚÒ Ó Ú á Ó  ‹ Ô Õ à & PeKIˆGLG Ì "  = ÛÐÏÐ íî ïðññòî óôõî ñîö÷ 

TL ˆAKŸBG J@LLe@I@AˆCK QGH@IDCKL@ Ì^EKLCHKHC]KF@IH@JC]@A?G I@C BK?C Ø

>â @ Ø Ù â = w@A Ø >â

u CL FGHG Ì ^EKLCHKHC]KF@IH@ EˆEKL@KL BK?G Ø

Õ á

àuJ@?BACHHG I@LLe@?@ABCDCG QA@B@J@IH@=

w

@A Ø Ù

â

uLe@I@AˆCK QGH@IDCKL@ Ì ?HA@HHKF@IH@ BGI]@??K›LeEICBK QG?CDCGI@ JC @^ECLCRACG Ì

Ó Õ â

u@J Ì ?HKRCL@= TI

QKAHCBGLKA@ Q@A Ø

@?C?H@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGICuQ@A Ø

Õâ

IGI @?C?H@ g]@JC @?@ABCDCG <=<=<h=

@LL

K ŸˆEAKuCI K?BC??K BÌ C ]KLGA@ JC ØuL@ BEA]@ AG??@@ RLE ?GIG L@ K?BC??@ J@LL@QG?CDCGIC JC @^ECLCRACGuCI AG??G

?@ Le@^ECLCRACG Ì CI?HKRCL@u CI RLE ?@ Ì ?HKRCL@= PK QG?DCGI@

Ó Õ â Ì ?HKRCL@ Q@A Ø Ù â uCI?HKRCL@ Q@A Ø >â = P@ KLHA@

QG?CDCGIC JC @^ECLCRACG @?C?HGIG ?GLG Q@A Ø

@ ?GIG ?HKRCLC=

ÛÐÏÐ

w@A Ø

 â

Le@I@AˆCK QGH@IDCKL@ Ì FGIGHGIK ?HA@HHKF@IH@ BA@?B@IH@= GI @?C?HGIG QG?CDCGIC JC @^ECLCRACGu L@ GARCH@

?GIG HEHH@ CLLCFCHKH@u w@A HEHHC C JKHC CICDCKLC

Ó Òë Ô H@IJ@ K á %

= TL H@FQG Bc@ CFQC@ˆK LK QKAHCB@LLK Q@A AKˆˆCEIˆ@A@

á % ̪4210uCIaKHHC w  y ê ¶ · ° ÚÒþ áÓ ý á Ø ÓÔ > % = w@A Ø Õ â

BÌLK QG?CDCGI@JC @^ECLCRACG

Ó Õ â

= ‚EHH@ L@ KLHA@GARCH@?GIG CLLCFCHKH@ BGF@I@L BK?G QA@B@J@IH@= PK

QG?CDCGI@JC @^ECLCRACG ÌCI?HKRCL@u@??@IJG EI QEIHG JC ¸@??G=

w

@A Ø

BC ?GIG JE@ QG?CDCGIC JC @^ECLCRACG y Ó¹ Õ ² ° á × ý = PK QG?CGDCGI@ Óy Ì CI?HKRCL@ gFK??CFG LGBKL@ JC Ñhu LK QG?CDCGI@ Ó é

Ì ?HKRCL@ gFCICIG LGBKL@ JC Ñh= TL ]KLGA@ JC Ñ I@C QEIHC JC @^ECLCRACG Ì º z þ Õ º ý Ø ° á × ý = w @A

(20)

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

þ > á z þ BÌ?GLG EIeGARCHK CLLCFCHKHK= w@A þ Õ á z þ EIeGARCHK CLLCFCHK @ Ó Õ Ó é @^ECLCRACG ?HKRCL@= w@A á z þ > þ > z þ

EIeGARCHK CLLCFCHKHK @ EIK Q@ACGJCBK= w@A þ

Õ z

þ LK QG?CDCGI@ JC @^ECLCRACG CI?HKRCL@

Ó Õ Óy

u EIeGARCHK LCFCHKHK K

F@HK K?CIHGHCBK I@LLK A@ˆCGI@

Ó Óy

uEIeGARCHKCLLCFCHKHK KF@HK K?CIHGHCBKI@L QK??KHGI@LLKA@ˆCGI@

Ó >Óy u

ß Ó >â

u

EIeGARCHK CLLCFCHKHK K F@HK K?CIHGHCBK I@L aEHEAG I@LLK A@ˆCGI@

Ó >Óy u ß Ó â =

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1.0

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1.0

ÛÐÏÐ îòîøö÷ ï÷úúî ïðññòî óôõî Pe@I@AˆCK QGH@IDCKL@ ]K K % ?@ ÖÓÖ$ %

= \EI^E@HEHH@ L@GARCH@ ?GIG LCFCHKH@= bIKLCDDG C BK?Cu KL ]KACKA@ JC Ø=

PK J@AC]KHK Ì Ó Ò Ó  á ÚØ Ó  Ø= \EI^E@ Ó Õ ÓÝ Õ â

Ì ?GLEDCGI@ JC @^ECLCRACG Q@A HEHHC C ]KLGAC JC Ø= P@

KLHA@ @]@IHEKLC QG?CDCGIC JC @^ECLCRACG ]@ACŸBKIG

Ó Õ Ø ² ° ØÒ Ø á à Ô = zGIJCDCGI@I@B@??KACK KIBc§ @?C?HKIG Ì Bc@ ØÒØ á à Ô Ù â BCGÌØ Ù àG Ø . â = w@A Ø  àu 5 Ø á Ø >

ØuJEI^E@ @?C?HGIG ^EKHHAG QG?CDCGIC JC @^ECLCRACG y Ó 3 Õ á ° Ø  5 Ø á Ø Ó Õ á ° Ø á 5 Ø á Ø Ó ý Õ  ° Ø á 5 Ø á Ø Ó  Õ  ° Ø  5 Ø á Ø &

(21)

w @A Ø >â uØ  Ø á Ø â = \EI^E@ @?C?HGIG ?GLG L@QG?CDCGIC Ó 3 @ Ó  = TI ?CIH@?Cy Ø >â y JE@QG?CDCGIC JC @^ECLCRACG ?HKRCLC Ó 3 @ Ó  u@J EIK CI?HKRCL@ ÓÝ › â . Ø .

ày EIK ?GLK QG?CDCGI@ JC @^ECLCRACG

ÓÝ

?HKRCL@=

Ø



ày HA@QG?CDCGIC JC @^ECLCRACG ?HKRCLC

Ó 3 u Ó  @ ÓÝ u@ JE@ CI?HKRCLC Ó @ Ó ý =

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

-1.0

-0.6

-0.2

0.2

0.6

1.0

1.4

1.8

2.2

-2.0

-1.6

-1.2

-0.8

-0.4

0

0.4

0.8

1.2

1.6

2.0

ÛÐÏÐ ú ñ÷øïðúð ô ôø ñòîøð ôðöîøö÷ fIK QACFCHC]K CI  J@LLK aGADK K??@ˆIKHK Ì y Ñ Ò ÔÕ á      !    = Ñ» Ò ÔÕ  å  Ò  á     ÔÕ  Ò á    Ô&

>]CJ@IH@F@IH@u Le@?C?H@IDK JC KLBEI@ QG?CDCGIC JC @^ECLCRACG JCQ@IJ@ JKL aKHHG Bc@  ?CK FCIGA@ G FKˆˆCGA@ JC à= TL

QKAKF@HAG  Ì KJCF@I?CGIKL@= w@A

I àBC?GIG ?GLG LK QG?CDCGI@JC @^ECLCRACG ?HKRCL@  Õ â @^E@LLK CI?HKRCL@  Õ ' = w@A  >

àu Bc@ BGAAC?QGI@ KL BK?G JC J@RGL@ ˆAK]CH‰uG JC ˆAKIJ@ ]@LGBCH‰ KIˆGLKA@ J@L QCKIGu BGFQKCGIG KLHA@ JE@

QG?CDCGIC JC @^ECLCRACG y  ¹ Õ ²MN   = >??@ ?GIG ?HKRCLCu F@IHA@  Õ â Ì CI?HKRCL@u BGF@ ?C J@JEB@ JC?@ˆIKIJG CL ˆAKŸBG JC Ñ = TL JKHG CICDCKL@ Ò ÝÞ ß  ÝÔÕ Ò á" ÞâÔ cK @I@AˆCK HGHKL@ â

= T LC]@LLC BACHCBC J@LLe@I@AˆCK ?GIG y Q@A Ù ày þ 3 Õ á  ? á 3 @ gLC]@LLG JCFCICFGu  Õ â h@þ Õ  ?  3 @ gLC]@LLG JCFK??CFGu  Õ' h= Q@A > à y þ 3 JC]@IHK EI LC]@LLG JCFK??CFG LGBKL@uCL LC]@LLG JC FCICFG Ìþ ý Õ á  ¼ uBc@BGAAC?QGIJ@KLL@

JE@ ?GLEDCGIC ?HKDCGIKAC@

¹ = \EI^½@ þ Õ â Ì EI LC]@LLG BACHCBG ?GLG ?@ BGCIBCJ@ BGI þ 3 u CL Bc@ KBBKJ@ ?@  | Õ 3 › CI HKL BK?Gu @??@IJG â > þ u

LeGARCHK Ì Q@ACGJCBK= TL Q@ACGJG Ìy

o Õ ‹® ¾ Ý x  ´ • Ò á Ñ Ò ÔÔ Þ ?@   3 u o Õ Ú ® ¿ÀÁÁ J B ¼ C y ¾ x  ´ • Ò á Ñ Ò ÔÔ Þ ?@  > 3 = PK QG?CDCGI@  Õ " Ì AKˆˆCEIHK ?GLG ?@   3 ›CL H@FQGÌy ë Õ ® ¾ y ¾ x  ´ • Ò á Ñ Ò ÔÔ &

(22)

TL ]KLGA@ JC Ì JKHG JKLLK BGI?@A]KDCGI@ J@LLe@I@AˆCK= >??@IJG Ñ Ò " Ô Õ Ñ Ò á" Ô u J@]@ BGCIBCJ@A@ BGI CL ]KLGA@ CICDCKL@u BCGÌ ß Õâ =

v@FQA@ Q@A LK BGI?@A]KDCGI@ J@LLe@I@AˆCKu ß

Õ ²´ • Ò á Ñ Ò ÔÔ u JEI^E@ ^EKIJG  Õ â u ß Õ ²´á • þ 3 Õ ² 5 Ú á à= TL ]KLGA@J@LFK??CFG ß 

ÌAKˆˆCEIHG ^EKIJGuLEIˆG LeGARCHKuÑ Ò

Ô

Ì FCICFG= v@  Ù àCL FCICFG ÌAKˆˆCEIHGCI 

Õ â ›

?@ 

>

àuCL FCICFG Ì AKˆˆCEIHG CI  Õ  y = TL JKHG CICDCKL@ Ò ÝÞ ß  ÝÔ Õ Ò á" Þ ÃI 6 Ô cK @I@AˆCK HGHKL@ 3  # › Q@A #

ˆAKIJ@u LeGARCHK Ì Q@ACGJCBK Q@ABc§ LK

]KACKRCL@Ì EI KIˆGLG= TL FGHG Ì LK AGHKDCGI@BGFQL@HK= TL Q@ACGJG Ì

o Õ ® " y" x  ´ • Ò 3  # á Ñ Ò ÔÔ Þ Bc@ Q@A #

ˆAKIJ@uKL QACFG GAJCI@ CI

3 p u ]KL@ " p =  @LL@QG?CDCGIC JC @^ECLCRACG  Õâ @  Õ ' uLeKBB@L@AKDCGI@ÌIELLK Ü  Õâ uJEI^E@ Q@A # ˆAKIJ@LK ]K BGF@ # CI  Õ â @ á# CI  Õ ' = w @A  Õ "

uCL BG?@IG Ì IELLGu@ JKLLe@^EKDCGI@ J@L FGHG ACBK]G

 Ü  Õ á uBCGÌ Ü  Õ á •  =  @ ?@ˆE@Bc@ LK

BGFQGI@IH@ ]@AHCBKL@ J@LLK A@KDCGI@ ÌIELLK=

ÛÐÏÐ( vHKIJKAJ= ÛÐÏÐ0 vHKIJKAJ= ÛÐÏÐÏ2 vHKIJKAJ= ÛÐÏÐÏÏ P@ GARCH@?GIG HEHH@ LCFCHKH@Q@A 6 â = PeGACˆCI@Ì ?HKRCL@ ?@ @?GLG ?@ 6  3 = ÛÐÏÐÏÛ

TL FK??CFG J@LLe@I@AˆCK QGH@IDCKL@ Ì

á à= TL JKHG CICDCKL@ cK @I@AˆCK á3 = \EI^E@ CL FGHG Ì CLLCFCHKHGu @ ß Ó  â Q@A

HEHHC C H@FQC QG?CHC]C= TL H@FQG Q@A AKˆˆCEIˆ@A@

% Ì JKHG JK o Õ ® éê Ý x Ó ´ ÚÒ 5 à  Ó á 3 Ô Þ

Bc@ Ì CIŸICHG= EKIJG ë ]K KJ CIŸICHGu

Ó

]K KJ CIŸICHGu @ LeKBB@L@AKDCGI@ H@IJ@ KL LCFCH@ JC

 ³ 3 é  Bc@ Ì à= ’

AKˆCGI@]GL@ K?Q@HHKA?C Bc@ ^EKIJG ë Ì ˆAKIJ@u CL FGHG ?CK ]CBCIG KL FGHG EICaGAF@F@IH@ KBB@L@AKHG 8

Ó  8 ÿ ë  ç = TI QKAHCBGLKA@ BC ?C K?Q@HHK Bc@ ß Ó ?CK ]CBCIG K 8 ÿ  ë= w @A BKQCA@ ?@ EI HKL@ 8 ÿ

@?C?H@ Ì ?EBC@IH@ BKLBGLKA@ CL LCFCH@

äåæçèéêÒ ß Ó á ë Ô = vCK ß Ó

Bc@ë ?C QG??GIG @?QACF@A@CI aEIDCGI@ J@LLK Ä y 8 ÿ Õ äåæ  èéê Å Æ µ ÚÒ ° à  Ó á à Ú Ôá®  Ý x  ´ ÚÒ 5 à   á 3 ÔÇ È & xA K QG??G ?BAC]@A@ ß Ó

BGF@LeCIH@ˆAKL@ J@LLK ?EK J@AC]KHK CI

Ó y µ ÚÒ ° à  Ó á à Ú ÔÕ à  ®  Ý x  ´ ÚÒ 5 à   á 3 Ô  5 à   &

(23)

vG?HCHE@IJG @ AKBBGˆLC@IJG 8 ÿ Õ à á® ê Ý x  à ´ ÚÒ 5 à   á 3 Ô à    5 à    à Þ

Bc@ Ì ŸICHG= w@A LK J@H@AFCIKDCGI@ JC 8

Ó u JG]A^ BKLBGLKA@ äåæçèéêÒ Ó Òë Ô á 8 ÿ ë á 3 ë Ô

= vC QE^ QAGB@J@A@ BGF@ ?GQAK

KIBc@ ?@Ì QCž BGFQLCBKHG=

ÛÐÏÐÏì

TL FGHG Ì Q@ACGJCBG Q@A HEHHC C JKHC CICDCKLC BGI @I@AˆCK I@ˆKHC]Ku IGI Ì Q@ACGJCBGu@J Ì CLLCFCHKHGu Q@A C JKHC CICDCKLC

BGI @I@AˆCK FKˆˆCGA@G EˆEKL@ K

â

= zeÌ EIK ?GLK ?GLEDCGI@ ?HKDCGIKACKuCI

Ó Õ à= w @A ÓÝ Õ 3 @ ß ÓÝ Õ à Le@I@AˆCK ]KL@ 3 = Bc@ Ì QG?CHC]K= \EI^E@ Ó $ % = TL ]KLGA@ K?CIHGHCBG J@LLK ]@LGBCH‰ Ì ´ ÚÒ 3 ÔÕ à= w@A ÓÝ Õ 3 @ ß ÓÝ Õ á

àu CL QEIHG ?C FEG]@ ]@A?G ?CIC?HAK JCFCIE@IJG CL ]KLGA@ K??GLEHG J@LLK ?EK ]@LGBCH‰=

vEBB@??C]KF@IH@ CI]@AH@ LK ]@LGBCH‰= \EI^E@ CL FCICFG J@LLK ]@LGBCH‰ Ì

á

àu ^E@LLK J@L JKHG CICDCKL@= TL FK??CFG Ì

AKˆˆCEIHG CI

Ó Õ

à gBc@ Ì CL FCICFG J@LLe@I@AˆCK QGH@IDCKL@hu@]KL@

´ ÚÒ 3  à á 3 ÔÕ 5 Ú= ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ  GI JC?QGICRCL@ ÛÐÏÐÏ(  GI JC?QGICRCL@ ÛÐÏÐÏ0  GI JC?QGICRCL@ ÛÐÏÐÛ2 GI JC?QGICRCL@ ÛÐÏÐÛÏ GI JC?QGICRCL@ ÛÐÏÐÛÛ GI JC?QGICRCL@

(24)

KhGu?GLG ?@CL QGH@IDCKL@ Ì KAFGICBG=

RhTL LCFCH@ Ì

%

u @CL FGHG x ÌEICaGAF@F@IH@ KBB@L@AKHG=

Bh IELLK

Jh vGLG I@L BK?G S LeGACˆCI@ Ì ?HKRCL@= TL Q@IJGLG BKQG]GLHG LCI@KACDDKHG BGI KHHACHG Ì CL BK?G N= TL BK?G O Ì EI

G?BCLLKHGA@ KAFGICBG BGI KHHACHG K H@FQG CI]@AHCHG=

@h <uN= T BK?C U @ <Z QG??GIG BGI?CJ@AKA?C BGF@FGHC EICJCF@I?CGIKL@]C?HC CI EI ?C?H@FK JC ACa@ACF@IHG FGRCL@u

JC ]@LGBCH‰ BG?HKIH@= Pe@I@AˆCK I@L ?C?H@FK ?GLCJKL@ ?C BGI?@A]K=

P¼P ½QÄÊÃÂÆÈÂ ËÂÈ¿ÊÀÂ

P¼ j kÆÇ lÆÀÃÊÇ ¿ ¾ÅÆÀÃÊÇÂ

P¼€ ËÁÄÈ ¿¾¿ÀÁÂàÁ‚Âʃ¿

ÛÐÐÏ íî ïðññòî óôõî õðø îööòöð

zGI?CJ@AG I@L ?@ˆECHG ?GLG CL BK?G JC  QCBBGLG= w@A  ˆAKIJC L@ KH@AFKDCGIC A@?HKIG ]@A@u FK C ˆAKŸBC BKFRCKIG

g BGF@ BKFRCKIG

ã h=

9š Pe@I@AˆCK Ì EI CIH@ˆAKL@ QACFG J@L FGHG Q@A CL ?C?H@FK ?@IDK KHHACHG= TI QA@?@IDK JC KHHACHG x x ë þ Õ á  ß Ó =

ECIJC KIBc@CI QA@?@IDK JC KHHACHG þ ÌEIK aEIDCGI@ JC P½KQEIG] Q@A C QEIHC JC FCICFG J@LLe@I@AˆCK QGH@IDCKL@

Ó

3

@

Ó

= \EI^E@ ?@IDeKLHAG ^E@?H@ JE@ QG?CDCGIC ?GIG ?HKRCLC= TL H@GA@FK JC P½KQEIG]u QEA J@BA@?B@IJG Le@I@AˆCKuIGI

Q@AF@HH@ JC BGIBLEJ@A@ CFF@JCKHKF@IH@ Bc@

Ó

3 @

Ó

?GIG K?CIHGHCBKF@IH@ ?HKRCLC= TIaKHHC x x ë þ Ì â IGI ?GLG I@LLK

QG?CDCGI@ JC @^ECLCRACG FK KIBc@ CI HEHHC C QEIHC J@LLG ?QKDCG J@LL@ aK?C CI BEC

ß Ó Õ â

= w

AGB@JG JEI^E@ BGI LeKIKLC?C

J@L LCI@KACDDKHGÉ= |C?BAC]G Le@^EKDCGI@ J@L FGHG BGF@EI ?C?H@FK gIGI LCI@KA@h J@L QACFG GAJCI@=

x x ë X Ó ÿ Y Õ X ÿ ÓáÓý á  ÿ Y & PG KBGRCKIG J@L BKFQG Ì X â à à áOÓ á Y &  @C QEIHC Ó Õ ² à ]KL@ X â à á Ú á Y Þ

Bc@ cK @IHAKFRC ˆLC KEHG]KLGAC BGI QKAH@ A@KL@ I@ˆKHC]K= @L QEIHG

â LK FKHACB@ Ì X â à à á Y Þ

Bc@ cK HAKBBCK I@ˆKHC]K @ J@H@AFCIKIH@ QG?CHC]Gu^ECIJC cK JE@ KEHG]KLGAC A@KLC JC ?@ˆIG GQQG?HG= TI BGIBLE?CGI@L@

QG?CDCGIC

Ó

?GIG K?CIHGHCBKF@IH@ ?HKRCLCuLK QG?CDCGI@

Ó Õâ

ÌCI?HKRCL@=

®š Pe@I@AˆCK F@BBKICBK IGI Ì BGI?@A]KHK @ J@BA@?B@ I@L H@FQG= \EI^E@ @?C?H@ þz

Õ äåæçèéêþÒë Ô g þÒë Ô Ì LCFCHKHK JKL RK??G JK á3 

h= \EI^E@ CL FGHGuI@L LCFCH@ ë Bc@ ]K K CIŸICHGuH@IJ@ KJ K]@A@ @I@AˆCK BG?HKIH@= PeCJ@K

CIHECHC]K Ì Bc@CL FGHG J@]@H@IJ@A@ KJ EIK ?GLEDCGI@JC @^ECLCRACGu?@IG Le@I@AˆCK BGIHCIE@A@RR@K J@BA@?B@A@CI]@B@

Bc@H@IJ@A@KL ]KLGA@ z

þ=

ÉzeÌ BGFEI^E@ EI H@GA@FK Bc@ K??CBEAK LeK?CIHGHCBK ?HKRCLCH‰ KIBc@ I@L BK?G CI BEC

LK J@AC]KHK J@LLK aEIDCGI@ JC P½KQEIG] ?C KIIELLK CI KLHAC QEIHC Bc@ IGI ?CKIG CL QEIHG

JC @^ECLCRACG= ’

CL H@GA@FK JC ›KARK?CI g]@JC CL \@LLebIHGICG ÍSÎh › LeCQGH@?C KˆˆCEIHC]K

I@B@??KACK ÌBc@LeCI?C@F@ J@C QEIHC CI BEC x

x ë

þ

Õâ

IGI BGIH@IˆK CIH@A@GARCH@ J@L ?C?H@FK

K QKAH@CL QEIHG ?HKDCGIKACG= 

@L IG?HAG BK?G ^E@?HK CQGH@?C Ì ?GJJC?aKHHK=

Riferimenti

Documenti correlati

Determinazione di momenti d'inerzia (asta, lamina rettagolare, quadrato, parallelepipedo). Struttura di inerzia di un sistema. Matrice di inerzia. Costruzione dell'ellissoide

Il comportamento qualitativo del sistema intorno alla posizione di equilibrio può essere studiato indagando il diagramma delle fasi del sistema, ma questo studio esula dai

• Fluidi barotropici: quando l’equazione di stato (3.6) è indipendente dalla temperatura θ, il fluido si trova sottoposto a trasformazioni isoterme oppure adiabatiche (che

Lo studente risolva almeno due dei seguenti

(2) Ottenere ancora, e risolvere, nell’ipotesi delle piccole oscillazioni attorno a tale punto di equi- librio, l’equazione

Nell’estremo A dell’asta `e saldato il centro di un disco di massa m e raggio R con giacitura perpendicolare all’asta.. Un secondo disco di massa m e raggio R `e libero di ruotare

Un’asta pesante omogenea AB, di massa M ha gli estremi vincolati a scorrere su due guide rettilinee verticali del piano xOy poste a ugual distanza dall’asse Oy mantenendosi

Forma lagrangiana per le equazioni del moto di un sistema di punti materiali non vincolati, invarianza in forma delle equazioni di Lagrange, momenti cinetici, variabili