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Modeling Artificial, Mobile Swarm Systems

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l ‹n p ( O & X1jSXfP.X cN0 ‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Ò ³

l

‹³Ð¡YXfG

*

gSKNO

,

KfPp

,

d?MiX

*

d?XNg

,

dšpqX1j

(

PƒXfZ‡O

&S( ¨SzKNM-V

(

jSˆ

x

K

*-( j¨

(

G

*

XNM'¡

(

OHXfM

Ž1*

‹]‹]‹”‹]‹”‹]‹”‹

Òß¶

l ‹àÐpqKfd+M-X * d+XNg ,dšpqX1j ( P* XNZD¡YXfGSˆ‰ŒV / X1j ,U( ju cN( G1O * ‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Ò Õ

l ‹à|‹Ò ¡bXNG * gSKNO ,KfPV~XWj ( P* ‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Ò Õ

l

‹à|‹

l

¨Sg)KNO

,

KNP[V X1j

(

P

*

‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

lfn

l ‹à|‹n

h

KfP.d?RSP.KfO ,G c V~XWj ( PƒgSKfMiKfV ( O ( M * ‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ nfl

l ‹¶ pqKfd+M-X * d+XNg ,dšŒV / X1j ,U( jpqX1j ( P* ‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ n à

l

‹

‹

Ò

¡bXNG

*

gSKNO

,

KfP

(

V

/

X1j

,U( jJV~X1j

(

P‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

nf¶

l ‹¶ ‹l ¨Sg)KNO ,KNP ( V / X1j ,U( jV X1j ( P}‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ n ²

(7)

,.,

áÐ×

ÀƒÄDÃ1Â7É6¿‡ÅݜÀ|¿Sۅâ~À˜Â6Â7ÌSÊ{À|˅ÌSÇ+É6Í)ÃäãŠÉ6È?Ç?˅É7ÊDчÇ?ÃWÄ

×

ÌS¿DÉ7åDÑDÂ7ÌSÇ?É7À|¿æÉ7¿çÚDÁÌS˅Æéè™À|Ê{À|Ç+É7½—Ú‡êÈeÛ

Ç+Ã1Æ–È ë|ì

n ‹Ò FHG1OeM-X1jSRSd+O ,XfG}‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à m

n ‹l %'&S( u cNc M (+c KNO,XfG™Œ · g ( M ,V ( GWOí‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à l

n ‹l ‹Ò %'&S(]*-( G * XfMiˆ/ K *-( j *i,V€RSPUKNOiXNMžKNG)jO &S(](+· g ( M ,V ( GWOiKNP *-( OiRSg ‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à l

n ‹l ‹l %'&S( M-X / XNO…î* d?XNG1OeM-XNPUP( M‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à n

n

‹

n

pqKfO &S( V KfO ,d+KfPƒpqX1j ( P,G c ‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àf³

n ‹³ÐŒ · KfV g)P(?* XNZD¨ ,V~gSP,T ( jJpqX1j ( P* ‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àfà

n

‹³|‹

Ò

¨

(

KNM-d

&

KfGSjX

/S* OeKfd+P

(

K‚wfX

,

jSKNG)d

(

‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à

n ‹³|‹l ¨ ( KNM-d & k *-(+( j * j ( O( d+O,XfG‡k1KfGSjŠX /S* OeKNd?P( K‚wfX ,jSKNGSd ( ‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àfÕ

n

‹àÐu

cfc

M

(+c KNO

,

XNGŠŒ

·

g

(

M

,

V

(

G1Ož

,

O

&

XfRSO'tyXfM

Žf(

MžuYPUPUXWd?KNO

,

XfG!‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

¶fm

n ‹à|‹Ò pqKfO &S( V~KNO ,d+KfPV~XWj ( P}‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶:Ò

n

‹à|‹

l

¨SO

(

Kfj

0

ˆ

*

OeKfO

(

KNGSKfP

01*-,.*

‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

³

n ‹à|‹n \^(?* R)P.O * ‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶ ³

n ‹¶ u cfc M (+c KNO,XNGŠŒ · g ( M ,V ( G1Ož ,O & tyXfM Žf( MžuYPUPUXWd?KNO ,XfG‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶f¶

n ‹¶ ‹Ò uO & M(?*i& XNPUjSˆ/ K *-( j‡kfj ,U* OiM ,U/ RSO ( jJzXNM ŽN( MžKfP.PUX1d+KNO,XfG™V ( d & KNG ,U* V4‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶f¶

n ‹¶ ‹l pqKfO &S( V~KNO ,d+KfPV~XWj ( P}‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶:´

n

‹

‹

n

¨SO ( Kfj 0 ˆ* OeKfO ( KNGSKfP01*-,.* ‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

´ßm

n ‹¶ ‹³ \^(?* R)P.O * ‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´fÒ

n ‹´ aš,.* d+R *-*-,XfG‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´fÒ

n ‹´ ‹Ò u cNc M (+c KNO,XfG™ ,O& XfRSO'XfMŽf( MzKNPUP.X1d?KNO ,XNGæ‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´ßl

n ‹´ ‹l u cNc M (+c KNO,XfG™ ,O& O& M (+*-& XfP.jSˆ/ K *i( j™j ,U* OiM ,U/ RSO ( jJzXNM ŽN( MzKNPUPUXWd?KNO ,XfG‹]‹]‹”‹]‹”‹]‹”‹ ´ßl

n ‹´ ‹n %'&S( V~KfO &S( V KfO,d+KfPV X1j ( PƒK * KfGŠXfgSO,V ,ª?KNO ,XfGŠOiXWXfPy‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´ ²

n ‹Õ

h

XNG)d+PUR *i,XNG ‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´ ²

ðÐ× ÀƒÄDÃ1Â7É6¿‡Åyâ À|Â7Â6ÌSÊ{À|˅ÌSÇ+É6Í)ÜãÉ7ÈAÇ+˅É7ÊDчÇ?Ã1Ä × ÌS¿‡É6å‡ÑDÂ7Ì)Ç+É7À|¿ºÉ7¿ÚDÁÌS˅ÆèŠÀ˜ÊÀ˜Ç?É7½Ú‡êÈAÇ+Ã1Æ–È ñ Ö

³|‹Ò FHG1OeM-X1jSRSd+O ,XfG}‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ l

³|‹l %'&S( ¨SO ,d Ž ˆ‰IRSPUP,G c Œ · g ( M ,V ( G1OJ‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ l

³|‹

l

‹

Ò

Œ · g ( M ,V ( G1OeKNP *-( OiRSg‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ

n

³|‹l ‹l ŒV / XWj ,.( j *-,V€RSPUKNO ,XfG * ‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ n

³|‹

l

‹

n %'&S( M-X

/

XNO…î

*

d?XNG1OeM-XNPUP

(

M‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ

n

³|‹n h KNP,U/ MiKfO ,G c pqX1j ( P[ILKNM-KNV ( O ( M * ‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õfà

³|‹

n

‹

Ò %

MiKfG

*-,

O

,

XfGŠgSM-X

/

K

/S,

P

,

O

,U(+*

‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õfà

³|‹n ‹l %',V ( j ,.* d+M( O ,ª?KNO ,XfG–‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õfà

³|‹³ÐŒ · KfV g)P(?* XNZD¨ ,V~gSP,T ( j l ˆ‰¨SOiKNO( pqX1j ( P* ‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ ´

(8)

,U,U,

³|‹³|‹l ¨ ( KNM-d & KfGSj * O ,d Ž ˆc M ,gSg ,G c * OeKNO (+* ‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ² m

³|‹àÐpqX1j ( P,G c O &)( Q)RSPUPƒ¨SO ,d Ž ˆ‰IRSPUP,G c ¨ 01* O ( V ‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²fà

³|‹à|‹

Ò

\^(?* R)P.O * ‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²

³|‹à|‹l ¨SO ( Kfj 0 ˆ* OeKfO ( KNGSKfP01*-,.* ‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²fÕ

³|‹¶ aš,.* d+R *-*-,XfG‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²f²

³|‹¶ ‹Ò Q˜MiXfVM ( KNPM-X / XNO* OeX ( V / X1j ,U( j *-,V¸RSP.KfO ,XNG * ‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²f²

³|‹¶ ‹l Q˜MiXfV ( V / X1j ,U( j *-,V¸RSP.KfO ,XNG * OiX~V ,d+M-X * d+Xfg ,dšV~X1j ( P,G c ‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òµmfm

³|‹¶ ‹n Q˜MiXfVV ,d?MiX * d?XNg ,dbOiX®V~KNd+M-X * d+Xfg ,dYV~X1j ( P* ‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òµmfn

³|‹¶ ‹³ pqX1j ( P,G c K * KfGJXNgSO ,V ,ª+KNO ,XfGŠOiX1XNP‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òµmf¶

³|‹´

h

XNG)d+PUR *i,XNG ‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òµm:´

ëÐâ~À˜¿D½NÂ6чÈAÉ7À|¿

Î

ì|ò

à|‹

Ò %'&S( h XfGWOiM

,U/ RSO

,

XfG

*

‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

Òµm

²

à|‹

l

Q)R)OeRSM ( F*i* R (?*',GJpqX1j ( P,G c uYM-O ,TSd ,KfP¨SKfMiVv¨ 01* O ( V * ‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

ÒNÒßm

à|‹l ‹Ò %',V ( j ,.* d+M( O ,ª?KNO ,XfGŠKfGSj /|(+& K‚w ,XNM-KNP c MiKfGWR)P.KfM ,O 0 ‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ÒNÒßm

à|‹l ‹l pqX‚w ,G c Z`MiXfVXNG ( P( w ( PXfZ ,V~gSP( V ( G1OeKfO ,XNGOeX®KNG)XNO &)( M‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ÒNÒfÒ

à|‹l ‹n pqX1j ( P* O & KfOzOiK Žf(š,G1OeX®Kfd+d+XfRSG1OV~XfM ( d+XfV~gSP(?· Z( KfOeRSM (+* ‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ÒNÒfÒ

à|‹l ‹³ % M ( GSj ,Gd+XfV~gSRSO ,G c:„ OeX‚zKNM-j™V~K *-*i,w ( P0 j ,.* OeM ,./ RSO ( j *-01* O ( V * ‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ÒNÒßl

(9)

l ‹Ò % zXœV~X /S,P( K cN( G1O *  ,O &S,G d?XNV~V€RSG ,d?KNO ,XNG–M-KNG cN( ‹™I (+( Miˆ‰OeXfˆ6g (+( M ,G)Z`XNM-V KfO ,XNG (?· d & KNG cf(

& KfgSg ( G * O & MiXfR cN& PUXWd?KNP ,M ( P(?*i* d?XNV~V€R)G ,d?KNO ,XfG‡‹b‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Ò ³

l ‹l ubM ( K * d?X‚w ( M ( jKNG)jœV X1j ( P* gSM (+*-( G1O ( j ,GœO&S,.* d & KNg)O( M‚‹

o

0 ˆ‰K ·1,.* r

h

XNV~gSP(+·1,O 0 XfZEK cN( G1Oeˆ‰OeXNˆ

K cN( G1O ,G1O ( M-KNd+O ,XfGŠw * ‹

o

· ˆ‰K ·1,.* r d+XNV~gSP(+·1,O 0 XNZDK cf( G1OžKNGSjV~X1j ( PH‹®‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òß¶

l

‹

n

Œ · KfV~gSP( XfZzOiMiKfG * Z`XNM-V KfO ,XNG}XNZžKœOHzXœj ,V ( G *i,XNG)KNP{KfM ( GSK * gSKfd (®,G1OeXœKqXfG ( j ,V ( G *-,XfGSKNP

gSM-X / K /S,P,O0^* d+KfP( ‹:Œ · O( GSj ( j]KNM ( K * XfZ1K cN( G1O * KNG)j ( w ( G1O * KfM( j ( O ( M-V ,G ( j /10 O &S(+,Mƒj ( O( d+O ,XNG

M-KNG cf(+* ‹‹”‹]‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òf´

l ‹³ Œ · KfV~gSP( XNZ^IMiX / K /),P,.* O ,dQ ,G ,O ( ¨SOeKfO( pqKNd &S,G (

o

IQE¨Sp r M ( g)M (?*i( GWO ,G c O&S(* R * d ( gSO ,./ P(

K cN( G1O…î*]*-( O]XfZ /|(+& K‚w ,XNM * ‹ ’[( Z`O „ IQD¨)pôXfZžO &S(®( w ( G1O]j ,U* d+X‚w ( M 0 OiK *-Ž  ,O& XfRSOd?XNV~V€RSG ,ˆ

d?KNO

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Ò

Õ

l ‹à pqKfd+M-X * d+Xfg ,d~V~X1j ( PzgSM ( j ,d+O,XfG * KfGSj *-,V¸RSP.KfO ,XNG–M (+*RSPUO * XfZ'M (?*i,j ( GSd 0 O ,V ( XNZ'KfG ( w ( G1OA‹

’‡( Z`O „ IP.XfOXNZzö‡÷Hø-ù©úüû

o

öƒý r þ ÿ

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 ,O& þçmmNm|Ò ‹ \^,UcN& O „ IPUXNO€XNZzö+ù o

r þ

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 ,O & þ—mmNm:Ò ‹'‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ l:Ò

l

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h XfMiM ( PUKNO ( jºMiKfGSjSXfVôzKNPŽ ‹ILKNO & P( G c O& & K * j ,.* OeM ,./ RSO ,XNG o

r

KfGSj OeR)MiG ,G c KNG c P(y& K *

j ,U* OeM ,./ R)O ,XNG"! o #

r

'MiKfgSg ( jJKNM-XNRSG)j™gSM ( w ,XNR * j ,M ( d+O,XfG‡‹ƒ‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

l

³

l ‹´

h

XfMiM ( PUKNO ( jMiKfGSjSXfVzKNPŽ ‹ % RSM-G ,G c KNG c P(®& K * gSM ( w ,XfR * j ,M ( d+O ,XfG–K * V ( KNG‡‹ ’‡( Z`O „€’ X‚

w…KNM,KNGSd ( XNZ'O &)( OeR)MiG ,G c KNG c P( ‹ \^,.cf& O „¸’ KfMcf( w…KNM,KfGSd ( M (+* RSPUO ,G cq,G *i& KNM-g ( M€OeR)MiG * KNG)j

P,V ,O ( jj ,.* gSPUKNd ( V ( G1OžX‚w ( MžO,V ( ‹ž‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ lf¶

l

‹Õ h XfMiM ( PUKNO ( j™M-KNG)jSXNVӁzKNPŽ ‹z¬zw ( M-P.Kfg™XfZ‡d?X‚w ( M-K cf( KNM( K /|( OH (+( GJOHzX~d+XNG *i( d+RSO ,w (b* O ( g * ‹‹”‹

l:´

l ‹² $zRSKfP,OeKfO ,w ( j 0 GSKNV ,d * XNZ‡O &S( g|XNg)RSP.KfO,XNGXNZ ,GSZ`XfMiV ( jŠK cN( G1O *…„[(+· KNV~gSP( XNZ‡O ,V (”( wNXNPURSO ,XfG

XfZ|O &S(Y* gSKfO ,KNP)j ( G *-,O 0 XNZ ,GSZ`XNM-V ( jK cN( GWO *&% o('*) +

r‹ ’[( Z`O „,% o('*)

m:r‹

h

( G1O ( M „ FHGSd?M ( K *-( XNZ % o('*) +

r ‹

\^,UcN& O „ ¬zR)OHKfMij * j ,U£ R *i,XNG ,G1OeX * RSMiM-XNR)GSj ,G c KfM( K|‹^‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ n:Ò

l

‹

Òµm

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,

XfGœXNZ{O

&S( Z`M-KNd?O

,

XNGqXfZ

,

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(

jqK

cN( G1O

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Kqd?K *-( XNZ ( w ( G1Oj ,U* d+X‚w ( M 0  ,O & XNRSO¸d+XfV V¸RSG ,d+KfO ,XNG‡‹ ’[( Z`O „ pqKNd?MiX * d?XNg ,d~V~XWj ( PH‹ \^,.cf& O „

¡bXNGSˆ( V / X1j ,U( j

o

(10)

l ‹ÒNÒ ŒwNXNPURSO,XfG™XNZDO &)( Z`MiKfd+O,XNGXNZ ,G)Z`XNM-V ( jJK cN( G1O *ž,GJKfGKfM ( GSK XNZ[M-KNj ,R * ÒßmNmfm RSG ,O *^,GJK~d+K *i(

XfZ ,GSZ`XfMiV~KNO ,XfG~K‚KfM ( G (+*-*L* g)M ( KNj ,G c O& MiXfR cN&~(+· gSP,d ,OAkNP.X1d+KfP)g (+( Miˆ‰OeXfˆ6g (+( M ,GSZ`XfMiV~KfO ,XNG (+· ˆ

d & KfG cN( V ( d & KNG ,U* Vœ‹ ’‡( Z`O „ pqKfd+M-X * d+Xfg ,džV~X1j ( PH‹ \^,UcN& O „ ¡YXfGSˆ( V / X1j ,U( j

o

g˜X ,G1O

r

*i,V€R)P.KfO ,XNG * ‹

n

³

l

‹

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h XfV g)KNM ,G c GSXNG * gSKfO,KNPWV~XWj ( P* XfZ ( V / XWj ,.( j€KNG)j¸GSXfGSˆ ( V / X1j ,U( j€K cN( GWO *‡,G ( w ( G1O‡j ,U* d+X‚w ( M 0

 ,O& XfRSOd+XNV~V¸RSG ,d+KNO ,XfG‡‹ ’‡( Z`O „ ŒV / X1j ,U( j K cN( GWO *Š& K‚w ( K MiKfj ,R * XNZ€à—RSG ,O* ‹ \^,.cf& O „

ŒV / XWj ,.( jŠK cN( G1O *'& K‚w ( K~MiKfj ,R * XNZ Òµm RSG ,O * ‹–‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ n:´

l ‹Òµn h XfV g)KNM ,G c G)XNG * gSKNO ,KfPV~X1j ( P* XNZ ( V / XWj ,.( j KNGSj—GSXNGSˆ( V / X1j ,U( j—K cN( G1O *€,G ,GSZ`XNM-V~KNO ,XfG

* gSM ( KNjŠO & M-XNR cN& P.X1d+KfPƒd+XfV~V€RSG ,d+KfO ,XNG‡‹ ’‡( Z`O „ ŒV / X1j ,U( jK cN( G1O *'& K‚w ( K~M-KNj ,R * XfZ‡à~RSG ,O* ‹

\^,UcN& O „ ŒV / X1j ,.( jJK cN( G1O*ž& K‚w ( K~M-KNj ,R * XNZ Òµm RSG ,O* ‹‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ n Õ

l ‹Ò ³ h XfV g)KNM ,.* XNG /˜( OH (?( G

o

G)XNG * gSKNO,KfP ( V / X1j ,U( j r V~KNd+M-X * d+Xfg ,dV~X1j ( P˜gSM ( j ,d+O ,XfG * KNG)j V ,d+M-XNˆ

* d+Xfg ,d *-,V¸RSPUKNO ,XNG * XfZ ,GSZ`XfMiV~KNO ,XfG * gSM ( Kfj™O& MiXfR cN& P.X1d?KNPd+XfV~V€RSG ,d+KfO ,XNG /˜( OH (?( GJK cf( G1O * ‹ n ²

l ‹Ò à % zX™V~X /),P(~*i( G * XfM*  ,O &S,Gyd?XNV~V€R)G ,d?KNO ,XfGM-KNG cf( ‹”I (?( M-ˆ6OiXNˆ‰g (?( M ,GSZ`XfMiV~KNO ,XfG (?· d & KNG cf(

& KfgSg ( G * O & MiXfR cN& K~P.X1d?KNPHk / MiXfKNjSd?K * O ,M ( P(+*-* d+XNV~V¸RSG ,d+KNO ,XfG‡‹1‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³ Ò

l ‹Òµ¶

h

0 P,GSj)M,d+KfPd+X1XNM-j ,GSKNO (+* ‹œ‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³ l

l ‹ÒN´

h

0 P,GSj)M,d+KfPd+X1XNM-j ,GSKNO (+*‚„ƒ* gSKNO,KfPj ( G *i,O 0 PUXWd?KNO ,XfG‡‹y‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³ n

l ‹Ò Õ ’‡( Z`O „

h

PUX *-( ˆ‰RSg®XNZK *i,V€R)P.KfO ( j®V~X /S,P(Y*-( G * XfM (+_ R ,gSg ( jЁ ,O & K / M-XNKfjSd+K *OLd?XNV~V€R)G ,d?KNO ,XfG

KfGWO ( GSG)KbV~XNR)GWO ( j~XNG¸OeXfg KfO ,O * d ( G1O ( M‚‹ \^,UcN& O „ uºG ( OHzXNM Ž XNZ Òµm *-,V¸RSP.KfO ( j¸V~X /),P(ž*i( G *XfM *

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GJKNG

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l

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cN( G1OšX‚w

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V~KNO,XfG–TSOeO ,G c O&)( V ( K * RSM ( V ( GWO…‹ ’[( Z`O „

Òµmfm

·

ÒßmNm

d?V1/ŠKNM ( GSK:k \Y,.cf& O „

Ò

³

l

·

Ò

³

l

d+V0/

KfM( GSK|‹‹]‹”‹]‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³fà

l ‹lNm ¨Sg)KNO,KNP[P.X1d+KfO,XNGXNZ Òµm K cN( G1O * X‚w ( MžO ,V ( k * XfP,jSˆ‰P,G ( d+R)Miw ( M( gSM (?*i( G1O* K • KNR *-*-,KfGŠKfgSgSM-X · ˆ

,V~KNO,XNG}TSOiO,G c O &S( V ( K * R)M ( V ( G1OA‹ ’[( Z`O „ Òµmfm · ÒµmNm d+V0/®KfM ( GSK|‹ \^,.cf& O „ Ò ³ l · Ò ³ l d+V0/

KfM( GSK|‹‹]‹”‹]‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³fà

l ‹l|Ò ¡ ( OHzXNM Ž XNZ Òµm K cN( G1O*^,GœK ÒßmNm · ÒßmNm d?V1/€KNM( GSK:‹ ’[( Z`O „ IM ( j ,d+O,XfGŠXfZDO &S( gSM-X / K /S,P,O 0 XfZ

* RSd+d (+*-* Z`R)PƒOeM-KNG * V ,.*-*-,XfGŠX / OeK ,G ( jJR *i,G c32 o'

rþ

ÿ

465 /87 (+· g

o

9:<;

/

4

;

r  ,O&>= þ à m d+VŸKNG)j

?

þÒµn ‹ \^,.cf& O „ ¨ ,V€R)P.KfO,XNGM(?* RSPUO * XNZDO &S( G1RSV /˜( M'XNZDV (+*-*K cN(+*'* RSd?d (+*-*Z`RSP.P0 M ( d (+,w ( jg ( M

K cN( G1Ozg ( M^V ,G1RSO ( ‹‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³ ¶

l ‹lNl ¡ ( OHzXNM Ž XfZ Òµm K cf( G1O *š,GyK Ò ³ l · Ò ³ l d+V0/~KNM ( GSK:‹ ’‡( Z`O „ IM ( j ,d?O ,XNGXfZ * RSd+d (+*-* Z`RSPDOeM-KNG * ˆ

V ,U*i*-,XfGJX / OiK ,G ( jJR *-,G c32 o('

ÿ

465 /87 (+· g

o

9:@;

/ 4

;

r  ,O &>= þ´fÒ d+VvKfGSj

?

þÒN´ ‹ \^,.cf& O „

¨ ,V€R)P.KfO ,XNG V ( K * R)M ( V ( G1O* XfZ'O &S( G1RSV /|( M XNZ'V (?*i* K cf(+** RSd+d (+*-* Z`R)P.P0 M ( d (+,w ( j–g ( M¸K cN( GWO

g

(

M'V

,

GWR)O

(

‹~‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³

´

l

‹

lNn IM

(

j

,

d?O

,

XNG

,

O

&

K

*-* RSV~gSO

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,./ R)O

,

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Òßm V~X

/),

P

(

K

cN( GWO

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’[( Z`O

„

IM

(

j

,

d?O

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j

gSM-X / K /S,P,O0 XfZ * RSd?d (+*-*Z`RSP^OeM-KNG * V ,U*i*-,XfG ,GK

Òµmfm

·

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d+V0/qKfM ( GSK|‹ \Y,.cf& O „ IM ( j ,d?O ( j

(11)

n ‹Ò ’‡( Z`O „ d?P.X *i( ˆ6RSgyXNZK *-,V¸RSPUKNO ( jyM-X / XNO (?_ R ,gSg ( j} ,O & K c M ,gSg ( M”KNG)j * OeKfGSj ,G cJ,G}Z`MiXfG1ObXfZ

K *-(+( j‡‹ h ( G1O ( M „*i( OeRSg ,GO&S(¸( V / X1j ,U( j *-,V€RSPUKNOiXNM

o

Òµm

M-X / XNO* k

lNm *i(?( j * k

Òf´ Õ ·

ÒN´ Րd+V0/

KfM( GSK

r

‹FHGSG ( MEKNM ( KšM ( gSM (?*i( G1O* O &S( zXNM ŽW,G c ª+XNG ( k * RSM-MiXfRSGSj ,G c KNM( K ,U* O &)( g)KNMŽW,G cBA M (+*O ,G c

ª?XNG (  &)( M ( MiX / XfO* O & KfOYj ( d ,j ( OiX *OiXNgqzXNM Ž1,G c®*OiK 0™,jSP( ‹ \^,UcN& O „ O 0 g ,d+KfP ( GSjqXNZLK cNc M( ˆ

c KNO,XNG (+· g ( M ,V ( G1O…k ( ‹c ‹UkWà & XNRSM * XNZ *-,V¸RSP.KfO ( jŠO,V ( k ,GJK ÒN´ Õ · ÒN´ Õ d+V0/]KfM ( GSK|‹‹]‹”‹]‹”‹ à n

n ‹l QE¨SpôM( gSM (+*-( G1O ,G c O &S( M-X / XNO…î* d+XfG1OeM-XNPUP( M…‹ % M-KNG *-,O ,XNG *]/|( OH (+( G * OeKfO (+* KfM ( OeM ,UcNcN( M ( j /10

*-( G * XNM 0 V ( K * RSM ( V ( GWO * ‹)‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à n

n ‹ n ¨ , V~gSP ({* R / ˆ6d & K , Gšd?XNG *-,U* O , G c XfZfK *i( KNM-d & kµK'M-X / XNOiˆ6M-X / XNO , GWO ( M-Z ( M ( GSd (L* OiKNO ( k+KNGSj]KfGšX /S* OeKNd?P ( K‚wfX , jSKNGSd (Y* OeKfO ( ‹‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ à ¶

n ‹³ h XfV g)KNM ,G c V Kfd+M-X * d+Xfg ,d™V X1j ( PžgSM ( j ,d+O,XNG * KfGSj ( V / XWj ,.( j *-,V¸RSP.KfO ,XNG * M (+* RSP.O * Z`XNM O &S(

*-,V~gSP( IQE¨Sp j ( g ,d?O( j ,G—Q ,.c RSM ( n ‹n ‹ ’[( Z`O „.C ú o+

r KfGSj CED o(+

r

o

Ò M-X / XNO…kDÕ m · Õ m d+V0/

KfM( GSK r ‹ h ( G1O( M „C ú o+

r k CEF o+

r kbKNG)j CED o(+

r

o

Òßm M-X / XNO* k^Õ m · Õ m d?V0/yKfM ( GSK r ‹ \^,.cf& O „

¨SO ( Kfj 0 ˆ* OeKfO ( w…KNPUR ( XNZ C0GúIHBJ ý¢‹€‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àfÕ

n ‹à • M-KNg &),d?KNPLM ( gSM (+*-( G1OeKfO ,XNGyXNZzŒ _ RSKNO ,XfG

o

n ‹´Nr Z`XNM]j ,.£|( M ( G1OLK F KfGSjMK D j ( PUK 0 jSRSM-KNO ,XfG *],G

KfGŠÕ m · Õ m d+V°KNM ( GSK:‹S‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àfÕ

n ‹¶ ¨SR / ˆ6d & K ,GqM( gSM (+*-( G1O,G c K *i,V~gSP( j ( O ( d+O ,XfGKNG)j ,j ( G1O ,TSd?KNO,XNG ,G1O ( M-KNd+O ,XfGqXNZO &S( MiX / XfO *

 ,O& O&)(]*i(?( j *',GJO &S( K cNc M (+c KNO,XfG (+· g ( M ,V ( G1OA‹‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ àf²

n ‹´

h

XfV g)KNM ,G c V~Kfd+M-X * d+XNg ,d]V~X1j ( PDgSM ( j ,d+O,XfG * KNGSj ( V / X1j ,.( j *-,V¸RSP.KfO ,XNGqM (+* RSPUO * ‹ž¡YR)V /|( M

XfZLMiX / XfO *Y, Gqj ,U£|( M ( G1O * OeKfO (+* o Òßm M-X / XNO * KNGSj l *i(?( j * r ‹ ’[( Z`O „ Õ m · Õ m d+V0/¸KNM ( GSK:‹ \^,.cf& O „ ÒfÒ ³ · ÒfÒ ³d?VvKNM ( G)K o , ‹ ( ‹Uk1OH , d ( K * PUKNM cN( K * O &S( gSM ( w , XNR * KNM ( G)K r ‹y‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶fm n

‹Õ IQD¨)p M ( gSM (+*-( G1O ,G c K cfc M (+c KNO,XNGœOiK *-Ž g ( M-Z`XNM-V KfGSd (~/10 O &S( MiX / XfO,d O ( KfV ,GyO &S( V~KNd+M-XNˆ

* d+Xfg ,d”V~X1j ( P

o

j ,U* OiM ,U/ RSO ( jœzXNMŽN( MzKNPUPUXWd?KNO ,XfG™V ( d & KfG ,U* V°GSXNO ,GSd+PURSj ( j r ‹ ‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶:Ò

n ‹² \^(?*R)P.O * XNZK cNc M (?c KfO,XNG (?· g ( M ,V ( G1O] ,O &}c MiXfRSg * XfZ Ò KNG)jyàœM-X / XNO * KNGSj lNm *-(+( j *,GKfG

Õ m · Õ m d+V0/]KNM ( G)K|‹ • MiXfRSg *i,ª (?* KNM( T ·W( j‡‹ ’[( Z`O „ ubw ( MiK cN( d+PUR * O( M *-,ª ( X‚w ( MzO,V ( ‹ \^,.cf& O „

ubw ( M-K cf( G1RSV /˜( M^XNZ‡d+PUR * O( M * X‚w ( MzO ,V ( ‹‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶ à

n

‹

Òµm

\^(?*R)P.O * XNZ:K cNc M (+c KNO,XfG (+· g ( M ,V ( GWOL ,O& K c M-XNRSg~XNZ

Òßm

MiX / XfO * KfGSj

lNm

*-(+( j *{,GKNG~Õ

m

· Õ

m

d?V1/¸KNM( GSK:‹ • M-XNRSg *-,ª (€,U* T ·1( j‡‹ ’[( Z`O „ uYw ( M-K cf( d+PUR * O( M *i,ª ( X‚w ( M^O,V ( ‹ \^,.cf& O „ uYw ( M-K cf(

G1RSV /˜( M'XNZDd+PUR * O ( M * X‚w ( MO ,V ( ‹œ‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶ à

n ‹ÒNÒ IQD¨)pM( gSM (+*-( G1OiKNO ,XNG™XNZ[O &S( d+XfV~gSP( O ( K cfc M (+c KNO,XNG (?· g ( M ,V ( G1Ož ,O& j ,U* OeM ,./ R)O ( jJzXNM ŽN( M

KfP.PUX1d+KNO,XfG‡‹ %'&S( GWR)V ( M ,d+KfPw…KNPUR (+* R *-( j ,GJO &S,.* IQE¨Sp & K‚w (š/˜(?( Gj ( M ,w ( jZ`MiXfV % K / P( n ‹Ò

KfGSj % K / P( n ‹l ‹Ÿ‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ¶:´

n ‹ Òµl \^(?* R)P.O * XfZ|K cNc M (?c KNO , XfG (?· g ( M , V ( G1O , O & zXNM ŽN( MLKNPUP.X1d?KNO , XNG®KfGSj c MiXfRSg * XfZ Ò KNGSj™àMiX / XfO *

 ,O&

lNm

*-(+( j *],G}KNG}Õ

m

· Õ

m

d?V1/®KfM ( GSK|‹ ’[( Z`O „ uYw ( M-K cf( d?P.R * O( M *i,ª ( X‚w ( M”O ,V ( ‹ \^,.cf& O „

(12)

n ‹Òµn \^(?*R)P.O * XfZƒK cfc M (+c KNO,XNG (?· g ( M ,V ( G1O ,O & XfM Žf( MKNPUP.X1d+KfO ,XNG

o

Òµm MiX / XfO * k lfm *-(+( j * kfÕ m · Õ m

d?V1/™KNM ( GSK

r

‹ ’[( Z`O „ uYw ( MiK cN( d+PUR * O( M *-,ª ( X‚w ( M]O ,V ( ‹ \^,UcN& O „ uYw ( M-K cN( G1RSV /˜( M€XNZžKfd+O ,w (

zXNM ŽN( M * X‚w ( MzO,V ( ‹ ‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

´ßl

n ‹Ò ³ p ( KNGd?P.R * O ( M *i,ª (

o

lNm *i(?( j * k ,G ,O ,KfP c MiXfRSg *-,ª ( XNZ Òµm M-X / XNO * r ‹ ’‡( Z`O „D\^(+* RSPUO * Z`MiXfVçubM ( GSK Ò

o

Õ m · Õ m d?V1/JKfM( GSK r ‹

h

( G1O ( M „~\^(?* R)P.O * Z`M-XNV ubM ( GSK l

o

Òf´ Õ · Òf´ Õyd+V0/ŠKfM ( GSK r ‹ \^,.cf& O „

\^(?*R)P.O * Z`M-XNV§ubM ( GSK n

o

Õ m · Õ m d?V

/

KfM( GSK|k)à™KfjSj ,O,XNGSKfP *i(?( j *š,G1OiMiX1jSRSd ( j l & XfRSM * KNZ`O ( M

O &S(]* OiKNM-OžXNZ[O &S( K cfc M (+c KNO , XNG™gSMiX1d (+*-* r ‹)‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´ß¶

n ‹Ò à p ( KNG~G1RSV /|( MXNZ|KNd+O ,w ( XfM Žf( M *

o

lNm *-(+( j * k ,G ,O ,KNP c M-XNRSg *-,ª ( XNZ Òµm MiX / XfO* r ‹ ’[( Z`O „[\^(+*RSPUO *

Z`M-XNV ubM ( GSK Ò

o

Õ m · Õ m d+V0/^KNM ( G)K r‹

h

( G1O( M „ƒ\^(+* RSPUO * Z`M-XNV¹uYM ( GSK l

o

ÒN´ Õ · ÒN´Õ”d+V0/'KNM ( GSK r ‹

\^,UcN& O „[\Y(+* RSP.O * Z`MiXfVÓuYM ( GSK n o Õ m · Õ m d+V0/”KNM ( G)K|kNà¸KfjSj , O , XNGSKfP *-(+( j *ž, G1OeM-X1jSRSd ( j l & XNR)M * KfZ`O ( M'O &S(]* OeKNM-OžXNZ‡O &S( K cNc M (+c KNO , XfGgSM-XWd (+*-* r ‹¢‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ´ß¶

n ‹Òµ¶ pqKfO &S( V~KNO,d+KfPfV~X1j ( PfgSM ( j ,d?O,XNGXfZ¢O &S( K‚w ( MiK cN( d+PUR * O ( M *-,ª ( KfO

+

þ Òßm & XfRSM* K * KYZ`RSG)d+O ,XNG

XfZ‡O&S( KNd?O ,w ,O0 O & M (+*-& XNPUjNK…ú O P-÷ Q

o

Õ m · Õ m d+V0/KfM ( GSK|k Òßm M-X / XNO * k Ò ˆ‰V ,G1RSO (]*O ( gJZ`MiXfV Òµm

OiX à m V ,G1RSO (?* r ‹‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ m

³|‹Ò ’‡( Z`O „ I &10W*-,d+KNP *-( OiRSgJZ`XNM'O &S(]* O,d Ž ˆ‰gSRSPUP,G c~(+· g ( M ,V ( GWO* ‹ h ( G1O ( M „ ¨ ( OeRSg ,GO &S(]( V / X1j ,U( j

*-,V¸RSPUKNOeXfM

o

³ * O ,d Ž1* kNKNM ( GSK¸XNZƒM-KNj ,R * ³ m d+V r‹ \^,UcN& O „ ¨ ,V¸RSP.KfO ( j™¨ ( OeRSgЁ ,O& Òß¶ * O ,d Ž1* KNG)j

KfM( GSK¸XfZ[M-KNj ,R * Õ m d?Vq‹]‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õ n

³|‹l ’‡( Z`O „ QE¨SpíM ( gSM (+*-( G1O,G c O &S( M-X / XNO…î* d+XNG1OiMiXfP.P( M‚‹ % MiKfG *-,O ,XfG /|( OH (+( G * OiKNO (+* KfM ( j ( O ( M-V ,GSˆ

,U* O,d?KNPUP0 OeM ,.cfcN( M( j /10}*i( G * XfM0 V ( K * RSM ( V ( G1O* ‹ \Y,.cf& O „ IQD¨)p M( gSM (?*i( G1O,G c KNGK cf( G1O]XNM

O&S(  & XNP( MiX / XfO,d”O ( KfV ,GO &S( V~KNd?MiX * d?XNg ,dbV~X1j ( P»‹ ‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õf³

³|‹

n

u *-,V~gSP(”*R / ˆ6d & K ,GŠd?XNG *-,.* O,G c XNZ‡K *i( KNM-d & KfGSjŠKfGŠX /S* OeKNd?P( K‚wfX ,jSKNGSd (b* OeKfO ( ‹‡‹]‹”‹]‹”‹]‹”‹ Õ

´ ³|‹³ • M-KNg &), d?KNPDM ( gSM (?*i( G1OeKNO , XfGXfZ{Œ _ RSKfO , XNG o ³|‹ ´Nr Z`XNM”j ,U£|( M ( G1O”j ( PUK 0 jSRSM-KNO , XfG * KNGSjyj ,.£|( M ( G1O gSM-X / K /S, P , O ,U(+* XfZ ( GSd+XfRSG1O ( M , G c KfGJX /S* OeKfd+P ( ‹‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Õf² ³|‹à h

XfV g)KNM ,G c V ,d+M-X * d+XNg ,d~KNG)j}V~Kfd+M-X * d+XNg ,d~V~X1j ( P* M (+* RSP.O * ‹ ’[( Z`O „ O ,V (™( wNXfP.R)O,XNGXNZ

J ú KfGSj J o

³~MiX / XfO* kW³ m d+V°KNM ( GSK r‹

h

( G1O ( M „ O ,V (]( wfXNPURSO,XNGXNZ

J

úYKNG)j

J

o

Òµ¶ M-X / XNO* kfÕ m

d?VKNM( GSK r‹ \^,UcN& O „ ¨)O ( Kfj 0 ˆ* OeKfO ( w…KNPUR ( XNZ

J ú o J G ú

r ‹4‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ² m

³|‹¶ %'&S( ŽN(?0J*R / ˆ6d & K ,GM ( gSM (?*i( G1O ,G c O &)( j 0 G)KNV ,d * XfZ{d+XfP.PUK / XNM-KNO ,XfG ,GyO &S(~* O,d Ž ˆ6gSR)P.P,G c™(+· ˆ

g ( M ,V ( GWO…‹‹]‹]‹”‹]‹”‹]‹”‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ² Ò

³|‹

´

• M-KNg &),d?KNP ,PUP.R * OiMiKfO ,XNGXfZ{Œ _ RSKfO ,XNG

o

³|‹

lNl:r

Z`XfMbKfGKNM ( G)K™XNZÕ

m

d+V"KNG)j

Òµ¶ * O ,d ŽW*

o

V ,d+M-XNˆ

* d+Xfg ,dKNGSj]V~KNd?MiX * d?XNg ,dLgSM ( j ,d+O,XfG * X‚w ( M-P.KfgSg ( j r‹ ’[( Z`O „RTS l

H

o

ÒVUXWZYfr kA ,O& W[Y€þ mmfn à|‹

\^,UcN& O „\R^] l

H

o

ÒZU^W[YWr  ,O & W[Y¸þ m´ ‹—‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ² n

³|‹Õ h XfV g)KNM

, G c V , d+M-X * d+Xfg , d™KNGSj V~Kfd+M-X * d+XNg , d®gSM ( j , d?O , XNG * XNZ'O &)( d+XfP.PUK / XNM-KNO , XfGMiKfO ( ‹ ’[( Z`O „

ubM ( GSK®XNZE³

m

d?V ,GœM-KNj ,R * ‹ h ( GWO( M „ uYM ( G)KXNZEÕ

m

d?V ,GqM-KNj ,R * ‹ \^,UcN& O „ uYM ( G)K®XNZE³

mfm d?V

(13)

³|‹²

h

XfV g)KNM ,G c V ,d+M-X * d+Xfg ,d^KNGSjŠV~KNd+M-X * d+Xfg ,d^gSM ( j ,d+O,XfG * XfZƒO &)( G1RSV /˜( MXfZƒMiX / XfO *z,G *i( KNM-d &

* OeKfO ( X‚w ( MO,V (

o

K

Yyþæ¶Nm_‚r

‹ ’[( Z`O „ ³MiX / XfO* k³

m

d?VKfM( GSK|‹ h ( G1O ( M „

Òµ¶

M-X / XNO* k[Õ

m

d?V

KfM( GSK|‹ \^,UcN& O „ ³

mNm

MiX / XfO* kW³

mNm

d+V°KNM ( GSK:‹'‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ²f³

³|‹Òµm h XfP.PUK / XNM-KNO ,XfGMiKfO ( K * K~Z`RSG)d+O ,XNGJXfZ[O&)(]c M ,gSg ,G c O ,V ( gSKfMiKfV ( O ( M

o

c M-XNRSg * XfZ l kW³|k1KfGSj ¶

M-X / XNO* k˜KNM ( G)K™XNZMiKfj ,R * ³ m d?V r‹ ’‡( Z`O „Y\Y( KNPEM-X / XNO*

o

K Y þa`à

)

nNm

)

Òµmfm

)

nNmNmBb * r k ( V / X1j ,U( j

*-,V¸RSPUKNO,XNG *

o

K Y þc`m „ à „ nfmNmBb * r k|KNG)jqV ,d?MiX * d?XNg ,dV~X1j ( P

o

K Y þd`m „ à „ nfmNm*b * r ‹ \^,.cf& O „

V ,d+M-X * d+XNg ,dšV~XWj ( PHk1V~KNd+M-X * d+Xfg ,dYV~X1j ( P* k¢KNGSj ( V / X1j ,U( j *-,V¸RSP.KfO ,XNG *

o

K Y þe`m „ à „ ¶Nmfm*b * r ‹ ² ´

³|‹ÒNÒ ’‡( Z`O „ ŒV / XWj ,.( j *i,V€RSPUKNO ,XfG * k©V ,d+M-X * d+XNg ,d'V~X1j ( PHkNKNGSjV~Kfd+M-X * d+XNg ,džV~X1j ( P|M(?* R)P.O *

o

Õ:k Òß¶ k

KfGSj l ³ŠM-X / XNO * k Òß¶ * O ,d Ž1* k|KfGSj}KNM ( GSKŠXNZÕ m d?V ,G}M-KNj ,R * r ‹ \^,UcN& O „ ¨SzKNM-V * XfZ lNmfm k|³ mNm k

KfGSj ¶fmNm MiX / XfO*',GJKNGKNM ( GSK ³ mfm d?V ,GM-KNj ,R * ‹}‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ² ´

³|‹

Òµl

Q˜XNRSM

(?· KfV~gSP

(?* XNZ

,

V~gSP

(

V

(

G1O

(

j

*

O

,

d

Ž

j

,U* OiM

,U/ RSO

,

XfG

*

‹Ó‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

Òµm:Ò

³|‹

Òµn

’‡( Z`O „ h XNV~gSKNM,G c¸( V / X1j ,.( j *i,V€RSPUKNO ,XfG * KNG)jV ,d+M-X * d+Xfg ,dšV~X1j ( Pƒg)M ( j ,d?O,XNG *Y,GJKNGX‚w ( Miˆ

d?MiX‚'j ( j™KfM ( GSK

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m

d?V ,GJMiKfj ,R *

r

‹ \^,UcN& O „ gSM-X / K /S,P,O 0 XfZ

( GSd+XfRSG1O ( M ,G c K®M-X / XNO ,GJO &S(]( V / XWj ,.( j *i,V€RSPUKNOiXNMžd+XfV~gSKNM ( j ,O & O &S( P,G ( KNMYKNgSgSM-X ·1,V~Kfˆ

O,XfGŠXfZ‡V~KNd?MiX * d?XNg ,dYV~X1j ( P»‹‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ Òµmfn

³|‹Ò ³ h XfV g)KNM ,G c V ,d+M-X * d+Xfg ,d^V~XWj ( P:KNGSj™V Kfd+M-X * d+Xfg ,dYV X1j ( P:gSM ( j ,d+O,XNG * Z`XfM * V~KNPUP

Ygf gSMiX / KNˆ

/S,P,O ,.(?* ‹ ’‡( Z`O „ ³ * O ,d ŽW* kfKNM ( GSK¸XNZ ÒßlNm d+V ,GŠM-KNj ,R * ‹ h ( G1O( M „ ³ mNm * O,d Ž1* kfKfM ( GSK€XfZ ÒµlfmNm d?V

(14)

·1,

l ‹Ò I ( MiZ`XfMiV~KNG)d (Y* RSV~V~KNM 0 ‹]‹]‹š‹]‹”‹]‹”‹]‹]‹”‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹ ³fÕ

n ‹Ò ILKfMiKfV ( O( M * R *i( j ,G™O &)( V~X1j ( P* XNZƒO &S( K cNc M (?c KfO ,XNG (+· g ( M ,V ( G1O…‹ ab( O ( d?O,XNGŠj ,.* OeKfGSd (?* KfM(

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I ( MiZ`XfMiV~KNG)d (Y* RSV~V~KNM 0ƒ„ FHG1O (+c M-KNO( j h X * OA‹D‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

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‹³ I ( MiZ`XfMiV~KNG)d (Y* RSV~V~KNM 0ƒ„ FHG1O (+c M-KNO( j h X * OA‹D‹]‹”‹]‹š‹]‹]‹”‹]‹”‹]‹”‹]‹]‹”‹]‹š‹]‹”‹]‹]‹”‹]‹”‹]‹”‹

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²

³|‹Ò ILKfMiKfV ( O( M * R *-( j ,G®O &S( V~X1j ( P* XNZ:O &S(Y* O ,d Ž ˆ‰gSRSPUP,G c](+· g ( M ,V ( GWO…‹ aš( O ( d?O ,XNG®j ,U* OiKNGSd (+* KfM(

V ( KfG1OzZ`M-XNVvO&S( d ( G1O ( M'XNZDO&S( M-X / XNOžOeX~O &S( d ( GWO( M'XfZ‡O &S( X /1›e( d+Ožj ( O ( d?O ( j‡‹‹]‹]‹”‹]‹”‹]‹”‹ Õ ¶

³|‹l a RSM-KNO,XNGXNZ‡O&S( j ,.£|( M ( G1O'M-X / XNOžV~KNG ( RSw ( M * j (?*d?M ,U/˜( j ,G * R /S*i( d+O,XfG³:‹l ‹n ‹€‹]‹]‹”‹]‹”‹]‹”‹ Õ ´

³|‹n FHGSÔ)R ( GSd ( XNZ‡O &S( w…KNPUR ( XfZ

Y:f XNGJO &S( KfgSgSM-X ·1,V~KNO ( jŠwAKfP.R ( XfZih o(j

(15)

·

kml3nporqgs3t\s3uk.vxwzyX{qrk|s }orkL~

 „ j ,U£ R *i,XNGJd?X (g€ d ,U( G1OA‹

‚ „ j ,.* gSPUKNd ( V ( G1OžKNZ`O( M„ƒd+XfG *-( d+R)O ,w ( V~X‚w (+* ‹

… „ OiXNOeKfPG1RSV /|( M'XfZ‡V~X /),P( K cN( G1O *AN*-( G * XNM * ‹

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† O©„ gSM-X / K /S,P,O0 OeX ( G)d+XNR)GWO( M'O &S(]( w ( G1OA‹

†ú „ gSM-X / K /S,P,O0 OeX ( G)d+XNR)GWO( M'K * R * d ( gSO ,./ P( K cf( G1OA‹

† Fi„ gSM-X / K /S,P,O 0 OeX ( GSd+XfRSG1O ( M'KNG ,GSZ`XfMiV ( jŠK cN( G1O…‹

‡ „ gSM-X / K /S,P,O 0 O& KNO^KfO^P( K * O'XNG ( XfZi…"K cN( GWO * TSGSj * O&S(€( w ( G1O'KNO'K®gSKfMiO ,d?RSP.KfM^O,V (* O( g

o

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j ,U* d?X‚w ( M ( j‡‹

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„ OHXfˆ6j ,V ( G *i,XNGSKfP:w ( d?OeXfMzM( g)M (?*i( GWO ,G c O &S(Љ O& V~X‚w (”,GJO &S( d?XNM-M ( P.KfO( jŠMiKfGSjSXfVӁKfPŽ V~X1j ( P»‹

‹

o #

r „ X‚w ( MiPUKNg)g ( j™KNM ( K /|( OH (+( GOHzX d?XNG *-( d?RSO ,w ( V~X‚w (?* ‹

Œ

„ K cN( G1Oeˆ( w ( G1O ( GSd+XfRSG1O( M'M-KNO ( ‹

-¢„ d+XNG * OiKNG1OžP( G c O & XfZ[K~d+XfMiM ( PUKNO ( jŠMiKfGSjSXNVvKfPŽ ‹

-AýW„ M-KNj ,R * XNZDO &)( KNM( GSK:‹

2

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r „ j ,.* OeM,./ RSO ,XNGJZ`RSGSd?O,XNGJXNZDO &)( K cN( G1O * ‹

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o

„ gSM-X / K /S,P,O0 j ,.* OeM ,U/ RSO ,XNGJXfZ

(16)

· ,

%?„ Z`MiKfd+O,XfGŠXfZ ,GSZ`XNM-V ( jJK cf( G1O* ‹

„ gSKfO & P( G c O& XNZ‡O &S( d?XNM-M ( P.KfO ( jŠMiKfGSjSXfVKfPŽ V X1j ( P»‹

 „ K cN( G1Oeˆ‰K cN( G1O ( GSd+XfRSG1O( M'M-KNO ( ‹

„ g)MiX / K /S,P,O 0 XfZ * g˜XfG1OeKNG ( XNR * j ,.* KNgSg ( KfMiKfGSd (

o

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K F-„ jSRSM-KNO ,XfGŠXfZ[O&)(],GSZ`XfMiV~KfO ,XNGM( d ( g)O ,XNGZ`MiXfVvKNG ,GSZ`XNM-V ( jK cN( G1OA‹

K

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_ „ Z`MiKfd+O,XfGŠXfZ * R * d ( gSO ,./ P( K cN( G1O * ‹

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C~„ j ( O( d+O,XfGЁ ,jSO & XfZ[KfGŠK cN( G1O…‹

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(17)

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CEFi„ G1RSV /˜( M'XNZDMiX / XfO*',jSP( KfZ`O ( M _ R ,OiO,G c ‹

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  „ Z`M-KNd?O,XNGXNZ‡j ,.* KNg)g˜X ,G1O( jJMiX / XfO * ‹

Ÿ ý1„ OeXNOiKNPG1RSV /˜( M'XNZ * O ,d Ž1* ‹

WZY „ d?XNPUP.K / XfMiKfO,XNGg)KNM-KNV ( O ( M‚‹

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(18)

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IR)« %€„ gSR / P,dWk¢wAKfM ,K / P( O & M (+*-& XfP.j‡‹

(19)

FHGœO&),.*b,G1OeM-X1jSRSd?OeXNM 0 d & KfgSO ( M…k¢ (cf,w ( KgSM-X / P( V°Z`XNM-V€RSPUKNO,XfGKfGSjJGSKNV ( g)M ( w ,XNR * KNGSjœM ( PUKNO( jJXfM Ž1* ‹

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References

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