Probabilistic P Systems - P Systems Web Page
Probabilistic P Systems - P Systems Web Page
Probabilistic P Systems - P Systems Web Page
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Û<br />
l<br />
|‘¤’^ŽM“%ŒX”•€–j˜—v•“%š<br />
‡ˆ~‰Z8VSJ]a‹ŠŒ|nŒBŽ<br />
4œ2W¡£¢ .¤:e¥<br />
›eœnž%ŸB<br />
Z8J]F¤J]H!Z@JcFËI#YMN¤VXÈ&P¢¬SN0HON[F%HONDVX„#Nãñ¦N^¬BVSa]L%VXION[f¤òJ]FyVfMgjF¤VSZ8J]\ZDVSF¤FMN^„[q4ókôXõ0öÅ÷jø0õ¨ùjúKøkû<br />
…J]I#YƒFMPbFj~‰fMN^ION^„<br />
ÿ¡ £¢þ¥¤§¦©¨¤£¡¦ ÿ¦&þ!ÿ¡ Óþ¡§¦ þ¥¤‹ÿ_þ "!$#&% "'(%*)+¥+¥+,%*-+¥+¥).0/1¦&*"¦¦2¤04356!798ný0!ÿ¡:¡2;8¢?8<br />
ü‹ýÓþ<br />
¢¡¤£¦¥¨§©© !#"%$&!'<br />
¥)(*"¤$&§+,"-<br />
= 5¨>@?BADC<br />
.0/214365879*:
ú¡ø¦bö¦¡Xø¨8ô©Dø¨%öJ]FyVe¯bJK¬SN[Fy\kPbZ8´%VX„#I#ZN[F|I^²0µYMN„!L¤aKN[H)…Y¤J]\ YË\^VSF¤FMPSÏ È&N<br />
÷¢¡¤£k÷¥£§¦©¨!ø¦§<br />
VX´¤´4a]JKN[feVX„#NÓH#LM´¤´&PbHON[feIOP0Y¤V[¬SNÓ´¤„#PSÈ4VXÈ%J]a]JKI€g¤ì^N^„!PMq4I#YMPbH#N¨…Y¤Jc\!Y\^VSFWÈ&N¨VX´¤´%acJKN[feY¤V[¬SNÓN[ðnL¤VSaFMPbFM~ì^N^„#P<br />
HQION^„ Z8Ḧ ïëÈ%L¤Ï È&N[\^VSL¤HON0PSRPbLM„mnF¤P†…aKN[f¤¯SN¤VSF¤fÄION[\!Y¤F¤PbaKPS¯bJ]\^VSaa]J]ZDJKI#VXI#JKPbF¤H Æ q<br />
4ú*¦©+Bû¡,£¨ø¨û®ïy‡J]F%HOION[J]F.-<br />
YMN[F%\kNJ]I®JcHQF¤VXI#LM„!VSa_IOPp\kPbF¤H#JcfMN^„Q´¤„#PSÈ%VXÈ4J]a]JKI#JKN[HVSa]HOPeJ]FëZN[Z*Ȥ„!VSFMN8H#gnHOION[ZDH^²ÓµY¤J]H±J]H®È&PSI#Y
PSR¨FnL¤ZN^„!Jc\^VSa¬XVSa]LMN[HWÃ= Õ¤„#N[L¤F¤fq !X}S}! #q2 ÕM„!JcH#\kPMq 9bJq"!X}S}!©#q<br />
TWN[Z¨È%„!VSFMN\kPbZ´%LMI#J]F¤¯0J]H±V0„!VXI#YMN^„®gSPbL¤FMēVX„#N[VDïJKI±…vVSHQJcF¤JKI#J]VXION[f
FMN[HUV*õ#ø7¡Ôô¨¤²³ÕMPS„VSFN[aKN[ZN[F|I#VX„#gÓZN[Z¨È%„!VSFMNsI#Y¤J]HUJ]H_I#YMNHO´%VS\kNsN[F¤\^a]PbHON[fÈ|g*JKI^qS…Y¤J]a]NI#YMNs„#N^¯bJKPbFPSR<br />
fMN01<br />
V*FMPbFj~N[aKN[ZN[F|I#VX„#g8ZN[Z*Ȥ„!VSF¤NJ]HÇI#YMNH#´%VS\kN±JcFj~È&N^I‰…vN^N[F8I#YMN®ZN[Z*Ȥ„!VSFMN±VSF¤f8I#YMN®ZN[Z*Ȥ„!VSFMN[HÇf¤JK„#N[\kI#a]g<br />
N[\^J*14\®\kPbZ´%VX„#I#ZN[F|I#Hf¤N014FMN[feÈng¤I#Y¤N)ZN[Z¨È%„!VSFMN[HPSRUI#YMN¨H#gnHOION[Zp²<br />
È&N[aKPbFM¯IOPDH#´<br />
V)„!N^¯bJKPbF¥¤˜ÆUJ]HPSRI#YMNRÅPS„!Z§¦©¨¦£ ^qnVSF%f8JKI*ñOH!V[gjH#ò<br />
µÇgn´%J]\^VSa]aKgSq|VSF8N^¬SPba]LMI#J]PbF8„!L¤a]N*ÃÅRç„!PbZ<br />
¦Sö,¡‹ô©¨¤q&VSF¤f<br />
NkwjN[\^LMION[f²µYMNQIO„!VSF¤HORÅN^„PSR_PSÈjÒON[\kI#HRÅ„#PbZ'V„#N^¯bJKPbFpIOPDVSFMPSI#YMN^„„!N^¯bJKPbFpJ]H\^VSa]a]N[f¥£!ô©ù¨5¡¤£<br />
I#YM„#PbLM¯bY
PSI#Y¤N^„#…J]HONhHOI#VXION[fqÇ\kPbZ8Z*L%F¤J]\^VXI#JKPbFÍVSaKPbFMNËÃÔJ]FÄI#YMN0Rç„!VSZ8N^…ÇPS„#mÄPSR`åHOgjHOION[Z8HÓ…JKI#YãHOgjZ~<br />
´%L¤I#VXI#JKPbF¤HÊ<br />
æBVSF|I#JK´&PS„#I ÆÇN[F|I#VSJ]a]H\kPbZ´%L¤I#VXI#JKPbF¤VSaÑL¤F%JK¬SN^„!H#VSa]J]I‰gS²<br />
´&PS„#I<br />
J]FVy` HOgjHOION[Z VSH0HOmSN^I#\ YMN[fVXÈ P¢¬SNSŠ<br />
éPSION
ZN[Z*Ȥ„!VSF¤NERçPS„QJ]F¤H#I#VSF¤\kNSq&I#YMNZN[Z¨È%„!VSFMNHOIO„!L¤\kI#LM„!N*RÅ„#PbZÂÕUJK¯bLM„#NhxJ]H®fMN[H#\k„!JKÈ&N[fÈ|gWI#YMN*Nkwj´¤„#N[H!H#JKPbF<br />
¤ # ¤ # ¢ # # # # 2#§#0# ¢ Æ ²Dd±H#H#L¤ZNI#Y¤VXIÎ\kPbF˜I#VSJ]F%H ZN[Z*Ȥ„!VSFMN[H^q2a]VXÈ&N[aKN[fëJ]FËVSF<br />
¢<br />
© ! ©§¦§¦§¦©ËqÑVSF%f
¦Q\^VSFpN[F|ION^„N[JKI#YMN^„Z8N[Z¨È¤„ VSFMN2!ÓPS„Z8N[Z¨È¤„ VSFMN¨znq¤…vN¨Z8V[gh´%L¤IQÃ*¦ ¢ ©#}*¦ bÆJ]FhN[VS\!YPSRUI#YMN[Ze²<br />
tvN[\^VSL¤HON<br />
¨ ¦©£32 4 £32 5 JcFÍ„#N^¯bJKPbFÐxXqvRçPS„8N^¬SPba]¬nJ]F¤¯ ¨ <br />
r®R\kPbLM„!H#NSqvVXI8I#Y¤NpH#VSZNeI#J]ZNe…JKI#YãI#YMNp„!L¤a]N<br />
Sú]ø0Dø0¨4ö,EYMN^„#NSqHON^¬SN^„!VSaQñ¦´4VX„#I#J]\^aKN[H#òëÃ*¨ ¤ © OÃ*¨ ¤ ÆOÆVX„#NËñ¦N[F˜I#VSFM¯ba]N[f¤òhJ]F
} ©[x†ÆJcHV¯bJK¬SN[F¥¦£§£ ø ö7¦©¨ £¨øöÅ÷˜õ#ø¨û!÷jôXú Sq4I#YMN[FpI#YMN)„#N[H#L%aKIsPSR_V8\kPbZ8´%LMI#VXI#JKPbFpJcHsI#YMN¨FnL¤Z¨È&N^„sPSRUPSÈM~<br />
<br />
¨ ¤H#L¤\ YI#Y¤VXI ¢¡ Ã*¨ ¤¢Æ¤£ ÃÅPSR&\kPbLM„!HONSq˜I#YMN´¤„#PSÈ%VXÈ4J]a]JKI€g)J]HU\kPbZ´%LMION[f8JcF*I#Y¤NsY%VSaKI#J]FM¯Q\kPbF1%¯bL¤„!VXI#JKPbF<br />
ÒON[\kI#H<br />
`HOgjHOION[Z©¨²±tÇg¥ <br />
§<br />
%<br />
OÃ*¨ ¤ Æ "†} ©[x$#bqjYMN[F¤\kNsRçPS„ˆVSaca } ©[x†ÆU…ÇNY¤V†¬SN%¥ <br />
È%Jca]J]HOI#J]\ˆPbFMNSqbI#VXmjJ]FM¯<br />
H ©©'eRçPS„±…Y¤Jc\!Y¥ %<br />
à ¥& © ¨ ¢ BÆ <br />
RÅPS„VSa]a´%VX„!VSZN^ION^„<br />
PbaKPS¯bJc\^VSâ ZN[VSF¤J]F¤¯bH^ŠQèPnN[Ḧ Vh„!N^¯bJKPbFËÈ&N[\kPbZNP†¬SN^„ \k„#P†…f¤N[f4梬SPbJ]fãJ]FëI#J]ZN /<br />
x<br />
*<br />
5<br />
8<br />
576 6<br />
8<br />
*<br />
*<br />
-9<br />
W1020:3S<br />
X 020:3Y<br />
XU<br />
0:3S<br />
K<br />
5<br />
8<br />
8<br />
§<br />
%<br />
à ¥& © ¨ ¢ XÆ <br />
PSR2I#YMNQ\kPbZ´%LMI#VXI#JKPbF Æ ² "ÑN^IL¤HfMN[F¤PSION±Èng¦¥¨§%éQÆÇI#YMNQHON^IPSR2VSaca FnL¤Z*È&N^„!Hs\kPbZ´%LMION[feJ]F¤I#Y¤J]Hs…sV[g0Èng¤V<br />
à ,& © ¨ ¢ XÆ…ÇNfMN[FMPSIONÓI#YMN*RÅVSZ8JcaKghPSRˆHON^I#H¥§%éQÆPSRˆF¤VXI#LM„!VSa2F|L¤Z*È&N^„!H<br />
âZ8N[Z¨È¤„ VSFMN[H^qL¤H#J]F¤¯¤HOgjZ´&PS„#I±„!L¤aKN[Hà © £¢2Æ ©†Ã©¥#Æ…JKI#Y<br />
\kPbZ´4LMION[f
)( 2)Š ¥ } ©[x #ÅÆ ²ÇµYMNZ8VX´%´%J]FM¯bH<br />
PSRÑZÓL¤aKI#J]H#N^I#H^q|J]FDN[VS\!Y0„#N^¯bJKPbF¤…vNY¤V†¬SN®H#N^I#HPSRÑ´4VSJK„!H³PSRÑI#Y¤NRÅPS„!Z@Ã*¨©<br />
)( 2 H#YMPbL¤a]feY%V[¬SNHOPbZN*ZDJ]F¤J]Z8VSa ´¤„!PS´ N^„!I#JKN[Ḧ ÃÅI#YMN*¬BVSa]L¤N[HRçPS„±I‰…vP¤VX„!¯bL¤ZN[F|I#H ¢©¢¡ ẍ H#YMPbL%a]feFMPSIÈ&N<br />
<br />
N^„#N[F|I#òjq4V¤H#Z8VSa]aF|L¤Z*È&N^„PSRˆaKPj\^VSaZ8VBwMJ]Z8Vjq%¬BVSa]L¤N)ì^N^„#PDRÅPS„ ¢ƒ¯S„#N[VXION^„±I#Y¤VSFHOPbZ8N¨I#YM„#N[H!YMPba]fq<br />
ñ¦IOPnP¤f¤J*<br />
Æ qVSHD…ÇN[a]aVSH¤HOPbZNp„!N[a]VXI#JKPbF¤H#Y%JK´%HÓ…JKI#Y£Z8VX´%´%J]FM¯bHRÅ„#PbZ FMN[J]¯bỸ È&PS„!J]F¤¯
Ç…ÇN¨Y%V[¬SN¨I#Y¤N)„!L¤aKN[H <br />
¦§ VX„#Np¯bJK¬SN[FqH#L%\!Y£I#Y¤VXI #à ¤)(¤ Æ <br />
RÅPba]aKP¢…J]FM¯Ó„!L¤aKN[H[Š<br />
© ¢ à ¤ © ¤ ¢¨Æ à ¤ © ¤6¤†Æ à ¤ © ¤ Æ Ã ¤ © ¤ Æ Ã ¤ © ¤ Æ Ã ¤ © ¤ Æ<br />
„!L¤aKN<br />
¢Š ¨Ã¤BÆ x†æ©! } } } x } }<br />
¤<br />
¤ Š ¨Ã¤¢Æ x†æ©! } } } } x }<br />
¤<br />
Š |ä¢Æ } } } } } } x<br />
¤<br />
Š ¨eä¢Æ } x†æXz x†æXz x†æXz } } }<br />
¤<br />
µYMNs„#N[VSfMN^„ˆ\^VSFN[VSH#JcaKg¨\!Y¤N[\#mI#Y¤VXI³…JKI#YI#Y¤NvI#Y¤„#N[H#YMPba]f <br />
&òpJcFƒRÅPS„!Z8VSaacVSFM¯bL¤VX¯SNDI#Y¤N^PS„#gSq³HON^NSq<br />
H#L%\!YyVSH*I#YMN¤´¤„#PSÈ%VXÈ%Jca]J]HOI#J]\*¯S„!VSZ8ZDVX„!H0ÃÅI#Y¤N^gƒVX„#NDÈ&PSI#YÊñ¦PbacfÄHOI#L<br />
¯M²Kq ijVSaKPbZDVSVjqx[S©S©#qsVSF¤fqÇ…JKI#Y£HO´&N[\^J 14\h\ Y¤VSFM¯SN[H^qñ¦RÔVSH#Y¤JKPbF¤òËJcF£ð|L¤VSF|I#L¤Z \kPbZ8´%LMI#J]FM¯MqvHON^NSqvNS² ¯M²Kq<br />
NS²<br />
Úv„!LMI#\ Y1%N[a]fÑq&x[Sb{©#ÅÆ ²³d\kI#L¤VSacaKgSq˜´¤„!PSÈ%VXÈ%J]a]JcHOI#J]\`ÄHOgjHOION[Z8Ĥ …JKI#Y´¤„#PSÈ%VXÈ4J]a]JKI#JKN[H_VSH#HOPj\^J]VXION[fD…JKI#Y<br />
TWP|PS„!NSq<br />
VÐñ¦´¤„!VS\kI#J]\^VSa]òë´&PbJ]F|IPSR¬jJKN^… ÃÔJ]F£\kPbZ8´%LMION^„´¤„#PS¯S„ VSZ8H<br />
„!L%aKN[HÓ…ÇN^„#NpVSa]„#N[VSfMgÄ\kPbF%H#J]fMN^„#N[fÑqÈ&PSI#YÍRç„!PbZ<br />
ÆvVSF¤feRÅ„#PbZáVDI#YMN^PS„#N^I#J]\^VSa´ PbJcF˜IPSR³¬jJKN^…)²r±RUI#YMN>1%„!H#II‰gn´ NÓVX„#N<br />
fMN[VSacJ]FM¯…JKI#Yp`ÏHOgjHOION[Z8HH#J]ZÓL¤a]VXI#JKPbF¤Ḧ<br />
éJcH#Y¤J]f¤Vjq5!X}S}!#VSF%f iMLMì[LMmjJ4N^I±VSa‹²Kq"!X}S}Mx#²³‚ËN)f¤PÓFMPSIsN[F|ION^„J]F|IOPf¤N^I#VSJ]a]Hv\kPbFj~<br />
I#YMN®VX´¤´¤„!PbVS\!YMN[HsRÅ„#PbZ<br />
YD\kPbF¤H#I#JKI#LMIONI#Y¤NIOPS´%Jc\PSRI#YMN±\kPbZ´%LMION^„O~‰VSJcfMN[f¤JcF˜¬SN[HOI#J]¯bVXI#JKPbF¤H^qnI#YMN<br />
\kN^„!F%J]FM¯)I#YMN´%JKN[\kN[HÇPSR„#N[VSa]JKI€g…Y¤J]\<br />
I#JKI#a]N[HPSRI#YMNI‰…vPe´%VX´&N^„!H®VX„#NHON[aKRç~Nkwn´%acVSF¤VXIOPS„#gÄÃÅ…Y%J]aKN¨I#Y¤NZ8PbFMPS¯S„!VX´%Y VSL%Fq"!X}S}!©#³„#N[\^VSa]acH±H#N^¬SN^„!VSa<br />
`<br />
\kPbF¤H!J]fMN^„!VXI#JKPbF%H®Rç„#PbZ<br />
I#YMN[HON8´4VX´ N^„ H Æ ²DE¦FËÈ&PSI#Y é±J]H#Y¤J]f%Vjq !X}S}!#ÇVSF¤f iMLMì[LMmjJ&N^IVSa‹²Kq !X}S}Mx)#qI#YMN8„ L¤aKN[H<br />
RÅ„#PbZÞV¨¯bJ]¬SN[Fh„#N^¯bJKPbFhY¤V[¬SNQVSH#H#Pn\^J]VXION[fh´%„#PSÈ%VXÈ%J]acJKI#JKN[H³PSR_VX´¤´%a]J]\^VXI#J]PbFq|J]F¤I#YMN®RÅPS„!Z<br />
PSR2H#LMÈ4L¤F¤JKI#VX„#gFnL¤Z~<br />
J]aKg8RÅPS„!Z8J]F¤¯*VÓ´¤„#PSÈ%VXÈ4J]a]JKI€gH#´%VS\kNSqMI#Y¤VXIJ]H^qn…JKI#Y0I#YMNQH#L¤ZîPSR´%„#PSÈ%VXÈ%J]acJKI#JKN[H³N[ðnL¤VSa IOP<br />
È&N^„!H®ÃÔFMPSIFMN[\kN[H#H#VX„<br />
²_E¦F éJ]H!Y¤J]f¤Vjq !X}S}!©#¤I#YMN[H#NF|L¤Z*È&N^„!H<br />
xÇï*VSaKI#Y¤PbLM¯bYI#Y¤J]H³\^VSFÈ&NVS\!Y%JKN^¬SN[f8Èng*VQH#L%JKI#VXÈ%aKNFMPS„!ZDVSa]JKì[VXI#JKPbF4Æ<br />
N[VS\ YDHOION^´¤PSR4I#Y¤NH#J]ZÓL¤a]VXI#JKPbFqbf¤N^´ N[F%f¤J]FM¯PbF8I#YMN\kPbF|ION[F˜I#HÇPSR I#YMN\kPbZ´%VX„#I#Z8N[F˜I^²ˆéP<br />
VX„#N\kPbZ8´%LMION[f8VXÎ<br />
J]F˜¬SN[H#I#JK¯bVXI#JKPbFDJcH\^VX„#„!J]N[fDJ]FN[J]I#YMN^„Ç\^VSHONSqjÈ%L¤IJ]FÈ&PSI#YDZ8N[F˜I#JKPbF¤N[f8´%VX´&N^„!H³PbF¤N\kPbF¤H#JcfMN^„!H<br />
Z8VXI#Y¤N[Z8VXI#J]\^VSa<br />
„!VXI#Y¤N^„„#N[VSa]J]HOI#Jc\0\^VSH#NHOI#L¤f¤J]N[H^qVSF¤f£I#Y¤Np\kPbF¤\^a]L¤H#J]PbF¤HÓRçPbL¤F%fÍÈ|gÍ\kPbZ´%LMION^„¤H#J]ZÓL¤a]VXI#JKPbF¤HÓaKPnPSmãH#PbL¤F¤fq<br />
VÈ4JKPn\ YMN[Z8J]\^VSaÅæ¢È%JKPbaKPS¯bJ]\^VSa ´&PbJ]F|IPSR2¬jJKN^…)²<br />
N^¬SN[F„#N[aKN^¬XVSF˜I^q¤RÅ„#PbZ<br />
N^„!N[F˜I)I€g|´&N0J]H)I#YMN0VX´¤´¤„#PbVS\ YyRÅ„#PbZ TWVSf¤YnLq"!X}S}!#q_…YMN^„#N8PbFMN¤RçPbacaKP†…Ḧ I#YMN<br />
r®RsVW\kPbZ´%aKN^ION[a]gëf%J<br />
ijVSa]PbZ8VSVjq2x[S©S #Š¨I#YMN´¤„#PSÈ%VXÈ4J]a]JKI#JKN[H±VX„#NDVSH!H#JK¯bFMN[fëIOPp´4VSJK„!H®PSRv„!L¤aKN[HQVSF¤fƒI#YMN^g
Fq ¤ VSF¤f ¤ \^VSFƒÈ&N8RÅPba]aKP¢…ÇN[fƒÈ|gËVSF|g
I#YMN)H#N[F¤HONQPSR< ÙV[…a]VXm qx[S!#²<br />
<br />
¨<br />
ü<br />
¨<br />
¨<br />
¦<br />
&0¢<br />
Vjq%§VSaKN[H!\^LqÑx[b{X©©#q. &VSfMN[YqÑx[S©S#Mï*…J]I#YMPbLMI³„#N[ðnLMN[HOI#J]F¤¯)I#YMN„#N[H#IO„!J]\kI#JKPbFIOPÓY¤V[¬SNI#YMN<br />
© !¦$#§ˆ"å©v$à$&§p§§Ç¢¡© §U$ "<br />
Z8J]F¤J]H!ZîïhYMN[F¤\kNV<br />
E¦FpI#YMN*EGF|IO„#Pjf¤L¤\kI#JKPbF…ÇNÓY¤V[¬SNÓ´&PbJ]F|ION[fpPbLMI±I#Y¤VXIPbF¤N*RÔLM„#I#YMN^„HOPbLM„!\kN*PSRFMPbFj~‰fMN^ION^„<br />
´%acVS\kN¨…YMN^„!N)´¤„#PSÈ%VXÈ4J]a]JKI#JKN[H\^VSF
姈†§ˆ§£³§ˆ"<br />
4:¢¡¤£ -ZZT¦¥ 3>4@¦£¡£.§ C8§£©¡¤£ :;1.93N8§£©¨¡¤£¨ 4£¡¤£ E1.93N8§£©¡£ 48NE6£©¡ ¡£ ¡! "#%$§& -ZZT L .< :;1.93N8 L<br />
" 436587#:9;#¡S3%?.@?A¡¤£©B J717:;C;8ED7C;67G£©F E35PI¡<br />
'"¤()*,+- /.102 4?35:;46?:C .§HG<br />
3%?.0:;.946£AJK¡ JK¡£ 0 010Q¡ILMD7.N .0:;.0B4?6O0.E¦OP¨ C;E-/.0-1735467.98,OE3QCSRD@8+=Vh. 43sr,#§V#§5¢+-$<br />
(1VWN*a+-@$/7#£Y£SSY<br />
48F8FEQ£C{z<br />
4J76£ -ZYZ ¥ 48F8FEQ£j©¡¤£jC{z<br />
4J76£MB|D¡£ -ZYZ ¡;}#l.¦'"(15[#%Ws}{#§u~)K+=5l+=V.€+=V TU )KYZ("P‚U(Vh.1'(c.X# ƒ7#% )K0¡<br />
I35.0J76©?A£Q 0 0Q¥/I35.0J76©?A£nQ¡¤£Q 0 0Q¡Ii 6.035G@„O0E6=
%à ¨¤bÆJ]FV¤„#N^¯bJKPbF #q I#YMN[FWI#YMN*HOIO„ J]FM¯¢ <br />
%<br />
%<br />
%<br />
%<br />
%<br />
dîõ¨ùnú]ø¡ 4õOô¢¦ 0¡Åú¡çû¨ö,¡¤£õ#ø õ ¡Åö,¡¨ ¡ û§+Bûkö‰ø0ßÃÅPSRUfMN^¯S„#N^N¡£¢Êx†ÆsJ]HV8\kPbF%HOIO„!L¤\kI<br />
ÆOÆ ©<br />
© à ©¥¤ ©©§¦¢ ©§¦§¦§¦ ©§¦<br />
©†Ã ¢ ©© ¢ © ¢¨Æ ©§¦§¦§¦ ©†Ã<br />
©©<br />
©<br />
…Y¤N^„#N àJ]HI#YMNIOPSI#VSa&VSaK´%Y%VXÈ N^I^q¨¤© àJ]HI#YMNION^„ Z8J]F¤VSa¤VSa]´%Y¤VXÈ&N^I^q
HOIO„ J]\kI#aKgp´&PbH#JKI#J]¬SN*´¤„!PSÈ%VXÈ%J]a]J]I‰gƒÃÅ…ÇN8L%HON <br />
N[a]P†… …ÇNeFMN^N[fÍI#YMNhFMPSI#JKPbFãPSR±V ¦SöÔõ ¡'1(bõ ¦© ¦Xõ ¡ÔöÅ÷&¦§¢Mø¦Xõ=¦©¨ £¨ø<br />
E¦FÄI#YMNeL¤F¤JK¬SN^„!H!VSa]JKI‰gË´%„#P|PSRÈ<br />
SqXYMN[F¤\kNˆ…vNˆÈ¤„ JKNkÌ%g®J]F˜IO„!Pnf¤L%\kNˆJKIÑYMN^„#NS²UÕMPS„_RÅLM„!I#YMN^„ÑfMN^I#VSJ]a]H[q¢…vNˆ„#N^RÅN^„IOP è±VSH!HOP†…)q £^÷jø£¢$¡¨ VSL¤FÑqÑx[SoS©#² `<br />
¦ ¤)2 ©^²³E€IJ]HsmnF¤P†…FeI#Y%VXI ¦ ¤ 2 © !D²<br />
a]VSF¤¯bL¤VX¯SN[HPSRUI#Y¤J]HsRÅPS„!Z'J]Hf¤N[FMPSION[fpÈng<br />
Ã¥ ©¥¤ ©¤ ©§¦ ©¦¥*Æ8J]H8H#VSJ]fÍIOPÄÈ&NhJcFÍI#YMN&0¡¨ ¦Xõ +¥¨ ôXõ§ ¦XúókôXõ JKR ¥ <br />
d@Z8VXIO„!JKwã¯S„!VSZDZ8VX„£¢<br />
© 8Æ ©¤…JKI#Y ©¦ ¥ ¢ © ¥ ¤Bq<br />
zn²ÓÃ<br />
© &Æ q%…JKI#Y ¥ ¢ © ¥ ¤©%VSF¤f ¤ ¦<br />
ªM²ÓÃ<br />
d±\^\kPS„!f¤JcFM¯8IOP: è±VSH!HOP†…)q `<br />
%<br />
<br />
}eVSHQVS\^\kN^´¤I#J]FMēI#Y¤„#N[H#YMPba]f Æ ²)µY¤VXIQJ]H±…Y|g…vN8fMN[FMPSIONÈ|g<br />
% ÃÔ}˜Æ_I#Y¤NRÅVSZ8JcaKg)PSR&a]VSFM¯bL¤VX¯SN[H³¯SN[F¤N^„!VXION[f8Èng*NkwjION[F¤fMN[f´%„#PSÈ%VXÈ%J]acJ]HOI#J]\Ç`ƒHOgjHOION[Z8H³…J]I#YÓVXIÇZPbHOI<br />
!¡<br />
¢Êx©E%JKR_FMPbFj~NkwjION[F¤fMN[fpH#gnHOION[ZDHVX„#N¨L%HON[fqjI#YMN[FpI#Y¤N)aKN^IOION^„ !îJ]HPbZ8JKIOION[fѲ<br />
,ZN[Z*Ȥ„!VSF¤N[H^q<br />
YMN[\#mjJ]FM¯ÍJ]H0VÄ\kPbF¤H#IO„!L¤\kI£¢ Ã¥ ©¥¤ ©¤ ©§¦ ©¦¥*Æ q±…YMN^„#N<br />
däZDVXIO„!JêwίS„!VSZ8ZDVX„0…JKI#YÉVX´¤´&N[VX„!VSF%\kN
YWZ8VXIO„ Jêw &_Š4à © Æv…JKI#YËx ¢[qM…ÇN¨JcF˜IO„#Pjf¤L¤\kN®I#YMN¨„!L¤aKN[H<br />
xX²ÕMPS„N[VS\<br />
¢sŠ % © ¤)(<br />
¤Š 2q¤…JKI#Y<br />
¤)(<br />
à ¤)( ¢ © ¤)( ¤^Æ ! ¡ z ©<br />
<br />
à ¤)( ¤© ¤ ¤ ( ¢!Æ x ¡ ¢³q¤RçPS„±VSa]a³x § ¢ ÉxXq%VSF%f<br />
<br />
à ¤ )( ¤ © ¤ Æ x ¡ ¢³²<br />
<br />
YWZ8VXIO„ Jêw &_Š4Ã © DÆÇ…JKI#Y *¢ Ðx *¢ ¤Xq%…ÇN¨JcF˜IO„#Pjf¤L¤\kN®I#YMNQ„ L¤aKN[H<br />
!n²ÕMPS„N[VS\<br />
¢sŠ % © ¤)(<br />
à ¤)( ¢ © ¤)( ¤^Æ ! ¡ z ©<br />
<br />
à ¤ )( ¢ © ¤ ¤ ( ¢ Æ x ¡ Ëz¢2Æ q4RÅPS„VSa]a³x § ¢ ÉxXq<br />
<br />
Jêw &_Š%à © Ƴ…J]I#Y ¢ ¤ Íx ¢yxXqj…ÇNQJ]F|IO„#Pjf¤L¤\kNI#YMN„ L¤aKN[H<br />
zn²ÕMPS„N[VS\!YeZ8VXIO„<br />
¢sŠ © ¤)(<br />
' ' © ¤£¢ËŠ<br />
¢ Š ' © ¤<br />
µYMNQ´¤„#PSÈ4VXÈ%J]a]JKI#J]N[HÇVX„#N)VSHRçPbacaKP†…H[Š<br />
à ¤)( ¢ © ¤)( ¤^Æ ! ¡ z ©<br />
<br />
à ¤)( ¢ © ¤jÆ x ¡ z ©<br />
<br />
à ¤ )( ¤ © ¤£¢2Æ x ©<br />
<br />
à ¤ ¢ © ¤£¥ ¥BÆ ! ¡ ä! x†Æ q%RçPS„N[VS\ YÄx¡ § Ëq4VSF¤f<br />
<br />
à ¤ ¢ © ¤ ¢ Æ x ¡ ä! x†Æ ©<br />
<br />
à ¤£¤!© ¤§¤±Æ x ©<br />
<br />
à ¤ ¥ ¥ © ¤ Æ xXq¤RÅPS„VSa]a³x § ˲<br />
<br />
L¤aKN<br />
ªM²Õ_JcF¤VSa]aKgSqj…vN¨VSa]HOP8\kPbF¤H!J]fMN^„I#YMN)„<br />
Š$) )ÄqM…JKI#Y<br />
¤<br />
à ¤¥© ¤jÆ x ¦ <br />
HsPSR2„!L%aKN[H)à ¤© ¤ cÆv…vN¨Y¤V†¬SN à ¤© ¤ cÆ <br />
ÕMPS„VSa]a&PSI#Y¤N^„´%VSJK„<br />
n²µYMN)J]F¤J]I#J]VSa%´%„#PSÈ%VXÈ%J]acJKI#JKN[HvVX„#N<br />
¢Ã ¤)( ¢!Æ x ¡ ¢©¤RÅPS„VSa]a³x ¢ ÉxXq<br />
©<br />
…Y¤N^„#N8à ¥ ®ÆsJcHI#YMN)J]F¤J]I#J]VSa&Z8VXIO„!JêwhPSR ¢ VSF¤f ' ©¦) VX„#N¨FMN^…ÊH#gnZ*È&Pba]H^qj…JKI#Y<br />
¥ ¢¨¥ ¤¨ " ©¤' ©¦) # ©<br />
VSF¤fhI#Y¤N¨HON^I ¢ VSF¤fhI#YMN¨´¤„#PSÈ%VXÈ%Jca]JKI#JKN[HvVX„#N¨fMN01 FMN[feVSHRÅPba]aKP†…H^²<br />
à ¤ )( ¢ © ¤ Æ <br />
x ¡ zÃÅI#YMN)„ L¤aKN!¤ …J]a]a È&N®H#´ N[\^J*1%N[fhÈ&N[aKP†…±Æ q<br />
¤)( ¤Š<br />
hq¤…JKI#Y<br />
à ¤)( ¢ © ¤jÆ <br />
x ¡ Ëz¢2Æ q4VSF¤f<br />
à ¤ )( ¤ © ¤ Æ <br />
xX²<br />
¤Š 2² ¤)(<br />
‚ËN¨VSa]HOPD\kPbF%H#J]fMN^„I#YMN¨RçPba]a]P†…J]F¤¯*„!L%aKN[H^Š<br />
à ¥#Æ q%VSF¤f<br />
¤£¤ÐŠ$)<br />
¥)Š ¤ £ ¤ qMRÅPS„VSa]a³x § ˲<br />
¤¦¥<br />
à ¤ ¢ © ¤§¤Æ x © <br />
}j²<br />
¢Ã ¤jÆ x ¡ ¢³q ©<br />
¤Ó…ÇN*Y¤V[¬SN © ¢Ã ¤bÆ }*¦<br />
VSF¤feRÅPS„VSa]a&PSI#YMN^„„!L¤aKN[H<br />
x[©
¤<br />
¤<br />
¤<br />
B<br />
"<br />
¨<br />
"<br />
¨<br />
B D<br />
;<br />
; D<br />
#¦ !§ B GHG:G #¦ § ; DFE D B<br />
BC<br />
¤<br />
¨<br />
¨<br />
"<br />
¨<br />
¨<br />
D<br />
;<br />
;<br />
<br />
)!! %<br />
%<br />
J J J J JJ'K<br />
¤<br />
¤<br />
<br />
#<br />
¤<br />
¤ ¡£@<br />
#<br />
#<br />
¤<br />
%<br />
0<br />
0LLLLL'M<br />
0<br />
"<br />
0<br />
¤)( ¤e\^VSF£È&NpL¤HON[fqÇI#YMN[F£…vN\^VSFÉ\kPbF|I#J]FnLMNp…JKI#Y£VSF|gã„!L¤aKN<br />
EGR±…ÇNpY¤V†¬SNWVƒZDVXIO„!JêwÍPSRI€g|´&N(!ëVSF¤f<br />
¤ ( ¢ ©[x § ¢ ÍxXq¤Y¤N[F¤\kNQ´%VSH#H#JcFM¯*IOP8H!J]Z*L%a]VXI#J]FM¯VSFMPSI#YMN^„Z8VXIO„ Jêw qMPS„†qjJ]R2FMPH#L¤\ Yh„!L¤aKN®J]HVX´¤´4a]J]\^VXÈ%aKNSq<br />
¤<br />
%<br />
"<br />
"<br />
;<br />
%<br />
0<br />
#<br />
%<br />
0<br />
%<br />
0<br />
%<br />
0<br />
<br />
©<br />
<br />
#<br />
#<br />
#<br />
¤ÓI#YMN)¬SN[\kIOPS„ ¢Ã ¤bÆǯbJ]¬SN[HV´¤„!PSÈ%VXÈ%J]a]J]I‰gDf¤JcHOIO„!JKÈ%L¤I#JKPbF8P¢¬SN^„ ¢[²<br />
éPSION)I#Y¤VXIRÅPS„VSa]aÑ„!L¤aKN[H<br />
µYMNQ…ÇPS„!m0PSRUI#Y¤JcHHOgnH#ION[ZáJ]HN[VSH!J]aKghHON^N[FpJ]FeI#Y¤N)„#N^´¤„#N[H#N[F˜I#VXI#JKPbFpRç„#PbZßÕUJK¯bLM„#NQªWÃÔ\^a]N[VX„!aKgSq¤I#YMN*fMPSI#H<br />
I#YMPbH#N¤VX„#„#P¢…H)¯SPWIOPI#YMN0VX„#„#P¢…H<br />
VSF¤fƒI#YMNDÈ%acVS\#mëÈ&P[wjN[H*VXI*I#YMN8N[F¤fyPSRs\kN^„!I#VSJ]FyVX„#„!P†…HÓJ]F¤f¤Jc\^VXIONI#Y¤VXÏ<br />
²<br />
HOI#VX„!I#J]FM¯RÅ„#PbZ'VfMPSIPS„VÈ&P[w&q¤„#N[HO´&N[\kI#JK¬SN[aKg¤Æ<br />
('*)<br />
#¦¥§<br />
%'&<br />
#¦¥§<br />
#¥§<br />
G:GHG<br />
¡=<br />
¡<br />
#!<br />
#¥§<br />
I¡=>?¡<br />
#¦¥§<br />
021<br />
3'3'3<br />
#¥§<br />
)!!<br />
¡=<br />
¢¡=>?$¡@A<br />
# !§ <br />
;2<<br />
" " "<br />
3'3'3<br />
ü ¡£ ü<br />
%'&<br />
) )¦(*)9# ¤<br />
%<br />
)! )(+)9# #<br />
#¥§<br />
)<br />
¢¡<br />
¡<br />
#$¡#<br />
4 ¡£ 4<br />
¤ ¤<br />
<br />
¡¡<br />
# )¦(*)9# <br />
)! )¦(*)9# <br />
#!<br />
3'3'3<br />
#4¡<br />
¨<br />
0 021 ¤<br />
-,.¡£/,<br />
; ;2<<br />
5¡ 768:9 <br />
#¦¥¦§ ¨ ©<br />
¢¡£<br />
ÕUJK¯bLM„!NQªMŠµYMN)`HOgnH#ION[Z'RÅ„#PbZ<br />
I#YMN)L¤F%JK¬SN^„!H#VSa]J]I‰gD´%„#P|PSR<br />
‚ËNÄHOI#VX„#Ip…J]I#YÐI#YMNƒHOIO„!JcFM¯ '*)yq®…YMN^„!N <br />
VX„#NƒI#YMNÄHOgnZ*È&Pba]HeJ]F|IO„#Pjf¤L¤\kN[fÈngI#YMNÄJ]F¤JKI#J]VSa<br />
Jêw0PSR¢ VSF¤f ' ©¦) VX„#N*H#gnZ*È&Pba]HFMPSIJcF¥¨ ¤¨²vE€R_I#YMN¨„ L¤aKN ¤0Š ) )âJcHN^¬SN^„±L%HON[fq¤I#YMN[FI#YMN<br />
Z8VXIO„<br />
\kPbZ´4LMI#VXI#JKPbFe…Jca]a&FMN^¬SN^„HOIOPS´Ñq4YMN[F¤\kN¨FMPPbL¤IO´%LMIJ]HsPSȤI#VSJcFMN[f²<br />
¤)( ¢ ©[x¡ ¢ ÏxXq4\^VSFÈ N)L%HON[fÄÃÅI#YMN^geY¤V†¬SN*N[ðnL¤VSa´%„#PSÈ%VXÈ%J]acJKI#JKN[HsVSH<br />
dsII#YMN)È&N^¯bJ]F¤F%J]FM¯MqMVSF˜gh„!L%aKN<br />
© ¢¨Æ q&YMN[F¤\kN*…ÇNHOI#VX„#II#YMN*H!J]Z*L%a]VXI#JKPbFpPSRˆVSF|gpZ8VXIO„!JKwhPSR ¢²¨ÃÔdacHOP ¤e\^VSF
¤4q4YMN[F¤\kN¨I#YMN*\kPbZ´4LMI#VXI#JKPbFF¤N^¬SN^„±Y¤VSa]I#H^²rQF¤aKg¤J]R_I#Y¤N¨HOIO„!J]F¤¯D\kPbF˜I#VSJcF¤HFMP¤HOgnZ*È&PbaRÅ„#PbZ<br />
RÅPba]aKP¢…ÇN[fÈ|g<br />
¤ I#Y¤N„!L¤aKN$¤ ¢ \^VSFÈ&NL¤HON[fÑqbVSF¤fI#YMNHOgjZ¨È&Pba'ÎJcHUN^„!VSHON[f²U‚ËNmjFMP†…ÉJcF*I#Y%J]H_…vV†gÓI#Y%VXI³I#YMNfMN^„!JK¬XVXI#JKPbF<br />
¥<br />
NQH#acJK¯bỸ I#a]g8H#J]Z´%acJ 1%N[fDJ]RÑ…ÇN®…sVSF˜IIOP´%„#P†¬SNQPbF¤a]g8I#YMN®N[ð|L%VSa]JKI‰g<br />
éPSIONQI#Y¤VXII#YMN®´¤„!N^¬nJKPbL%HÇ´%„#P|PSR2\^VSFhÈ<br />
¢ ÃÔ}˜Æ !8qÈ&N[\^VSL¤H#N8J]FëI#YMNNkwjION[F¤fMN[fƒ\^VSHON¤…ÇN8f¤PpFMPSÏ FMN^N[fËIOPW\!YMN[\!mË…YMN^I#YMN^„QPS„¨F¤PSI)I#YMN<br />
!¡<br />
¤