• Aucun résultat trouvé

Non-Robustness of Continuous Homogeneous Stabilizers for Affine Control Systems

N/A
N/A
Protected

Academic year: 2023

Partager "Non-Robustness of Continuous Homogeneous Stabilizers for Affine Control Systems"

Copied!
27
0
0

Texte intégral

(1)

HAL Id: inria-00073176

https://hal.inria.fr/inria-00073176

Submitted on 24 May 2006

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub-

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,

Non-Robustness of Continuous Homogeneous Stabilizers for Affine Control Systems

David A. Lizárraga, Pascal Morin, Claude Samson

To cite this version:

David A. Lizárraga, Pascal Morin, Claude Samson. Non-Robustness of Continuous Homogeneous

Stabilizers for Affine Control Systems. RR-3508, INRIA. 1998. �inria-00073176�

(2)

a p p o r t

d e r e c h e r c h e

THÈME 4

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Non-Robustness of Continuous Homogeneous Stabilizers for Affine Control Systems

David A. Lizárraga — Pascal Morin — Claude Samson

N° 3508

Octobre 1998

(3)
(4)

21436578*1,9&:*%";

<+=?>@BACEDGF@IH?JLKKM=LN=LOQPSRT=LUV?=LWYXZ[K@B\PG](WB=L^SAS_E`=LabUZ[\

cedgf-hikj(lnm?ophqgrts2uvoxwzy+i/uw|{}uvoxhot~s€uopw|y

 i~‚?~ƒufhi~„/wzh{grxi-…}i~

†ˆ‡w|‰Ši/u‹Š„-s|‡i

Œ%s€{{wz‡ƒu  iއvi„dgi‡v„diyL‘S’z“|”|•–l˜—T„/uw|™‡iš›z›|•Žl˜œ€’({s||i~

žŸ* ¡-¢2£g¤|¡|¥ cedgot~T{s€{Li-‡Y¦§w}„/q~i~Yw|y–s|~‚¨h{}uvw€uvop„{wzoxy¨uƒ©ª~ƒuvs€™oxrpox«¬s2uvoxwzyQw€¦­~hw?w€ud–s2®ygi¯„-w|y¨u‡vw|r

~‚}~Šuvi-h~°G±gw|‡Ys|~‚¨h{}uvw€uvop„Y¦§i-i  ™sz„²~Šus€™goprpox«i-‡~-³s~oxh{grpi  i-´ygoxuopw|yµw€¦e¶·¨¸º¹?»º¼¾½L¿/»v»­ÀoÁuvd‡vi~{Li„ºu

uvwµqgyghw  i-rpi Â ‚?ys€hot„-~Žot~s  w|{}uvi  °+c*À­w+uvdgi-wz‡ih~s€‡viudgiyÃ{g‡w2Äzi  Àdgot„dÃ~Šus2ui~ƒq}®Å„-oxiyzu

„-w|y  oÁuvoxwzy~e¦§w|‡%udgiŽ[·2½Æª¶·z¸/¹?»º¼B½[¿º»»Çw|¦Sdw|hw|zi-ygiw|q~e~ƒuvs€™oxrpox«i-‡~-°0cedgiŽ´‡~ƒuudgiw|‡vi-h+³gÀdgot„dQs€{}©

{rxopi~uwk~ƒ‚}~ƒuih~uds2uShsM‚k„/wzy¨uvs€opys  ‡ox¦Èuui-‡vh+³2oxy?Äzw|rpÄ|i~*sÉ~{i¬„/ox´„0„/rts|~v~w|¦}¦§i-i  ™s|„²Ž~ƒuvs€™oxrpox«i-‡~-°

cedi~ƒi¬„/wzy  w|ygiz³Àdop„dQs|{g{grpoxi¬~uw  ‡ox¦Èurpi~v~É~‚}~Šuvi-h~És|y  ot~Y~ƒuvs€ui  opy  i{iy  iyzuvrx‚+w|¦ˆs|y?‚{s|‡ƒ©

uvop„-qgrts€‡e~Šus€™goprxop«-i‡³¨{g‡vw2Ä?o i¬~Çs„-w|y  oÁuvoxwzy‡vi-rts2ui  uw(s€yÅiÄ|i-y¨uvqs€rLrxw¨~~Çw€¦‡s€y²¯w|¦udgiks|„„/i~v~ox™goprpoÁuŠ‚

 op~ƒu‡vox™q}uopw|yʰG—Yygi%w|¦[udgiT„/w|y~ƒi¬Ëzqi-y„-i~Sw€¦[uvdgiY~i„-w|y  ‡vi~qgrÁu­op~Guds€u³z¦§w|‡TÌ/Í?΀ÏȽL¿Ð2ÆÒÑ/·€¶ºÓ »ºÔM»º¼Õ¿-Ó»º³

ywbÖI~ƒuvs2uvop„¬×„-w|y¨uopy?qgw|q~kdw|hw|zi-ygiw|q~ki-…?{Lw|yi-y¨uots€r0~Šus€™goprxop«-i‡ÖI~w|hiw|¦eÀdop„dÃdsMÄzi™ii-yÃ{g‡vw€©

{Lwz~i



oxy–udi(rpoxui-‡s2uvqg‡vi¬×Y„-s€y–™i‡vw|™gq~ŠuToxy–udgi~i-y~i



i/´yi



dgi-‡vi-opyʰØS…gs|h({rxi¬~Žs€‡vi{g‡vw2Ä?o

 i 

Àdop„doxrprpq~Šuv‡vs€uiŽs(uŠ‚?{got„-s€rÊs|{g{grpop„s2uvoxwzyw€¦Sisz„d‡vi~qgrxu°

ÙµÚ¨Û[ÜvÝÞ ¢2ß |¥ Œ%w|™gq~ƒuÉ~ƒuvs€™oxrpox«¬s2uvoxwzyʳ}dgw|hwz|i-yi-w|q~G¦§ii  ™sz„²[³}ygw|ygdw|rpw|ygwzh(ot„k~ƒ‚}~ƒuih~°

àÇáâ¬ãåä*æçè¾âMéºê*ãåäÊä¾çMëMë€éºê§è¾ìŠíkî/ïTðÊñSò*ó*ðLôSáõ§ök÷ªø¬ãåùŠéMú

(5)

1'Ê:%"#­¯";"#) )Ž57

  ¥ w|q~„/wzy~o ‡wzy~(rps ~ƒuvs|™goxrpot~s€uopw|y sz~ƒ‚?h{}uvw€uot˨qgi  i~~‚}~Šuvf-hi~  o ‡vi-y¨uots€™grpi~

s€®ygi~i-yÂrtsQ„-w|hhs€y  iz°–†Ss€‡uvs|y¨u qgygi  ´yoÁuvoxwzy  irps ‡wz™gq~ƒui~v~i{s€‡(‡vs|{g{Lw|‡u  i¬~  ‚¨©

ys€hop˨qgi¬~ygw|y hw  rpot~ i~³­ygwzq~  hw|y¨u‡vw|y~  i-q}… ud w|‡vf-hi~˨qgo ygw|y„/i-y¨u  i¬~ń/wzy  oxuopw|y~

~q}®Å~vs€y¨ui¬~{wzqg‡rps9½[·2½Æª¶v·z¸/¹?»¼ª¿/»v»-¿  i¬~Å~ƒuvs€™oxrpop~vs2uvi-qg‡~„/wzyzuvoxy?q~dw|hw|zf-ygi¬~-°Êiµ{‡ih(opi-‡‡ ©

~qgrxuvs€u¯{Lw|‡ui~qg‡  i~¯~ƒ‚}~ƒuf-hi¬~¯„-w|h{wz‡ƒus€y¨u Ä|i-y¨uvqgi-rprxihi-y¨uqgyÃuvi-‡vhi  i  ‡voxÄziÅi/usµuv‡vs|oÁu

qygi¯„-rpsz~~i~{ „/ox´Ë¨qgi  i(~Šus€™goprpop~vs2uvi-qg‡~-°i¯~i„-w|y  {Lw|‡ui¯~ƒqg‡  i¬~É~‚?~ƒufhi~T~s|y~  ‡opÄ|ii/uYi¬~Šu

ygw|y„ opy  {iy  s€hhi-y¨u  q ~ƒuvs|™goxrpot~s€ui-q‡Éq}uvoxrpop~ ! opr uvs|™grpoÁuTqgygi¯„-w|y  oÁuvoxwzy  iyw|y}©Õ‡wz™gq~ƒui¬~~i

‡s€{{wz‡ƒu i"¯qgygi Äzi-y¨uqgirxrpiT{i‡ƒuvi  iT‡s€yg  iYrts  op~ƒu‡vox™q}uopw|y sz„-„-i~v~ƒop™goprxoxu °$#Éygik„/w|y~ Ëzqi-y„-i

 i„/i  i-‡vygoxi‡‡ ~qgrxuvs2ui¬~Šu˨qgi|³{wzqg‡rpi~¯~ƒ‚}~ƒufh(i¬~~w|q~ÉÑ/·2¶ºÓ¿µÌºÍ}Î&%Ƚ('¿-³Çs€q„/qgyÇvi/uvw|qg‡ ) uvs2u

ÖB~Šus2uvop˨qgiMׯ„-w|y¨uopy?qʳGdgwzhw||fygi|³Çi/u‡iy  s|yzurwz‡op|opygii-…}{wzygi-y¨uopi-rprpi-hi-y¨uÅ~Šus€™grpiy i¬~Šu‡vw|™gq~Šuvi

 s€y~erpi~ƒiy~„/wzy~o ‡ °+*­i¬~  iq}…Åud w|‡vf-hi¬~~ƒwzyzuoprxrpq~ƒu‡ ~,(rs|o i i/…}ih({rxi¬~-°

-Þ ¡¬  Ü ¤!.  ¥ m¨us€™goprxot~vs2uopw|y‡vw|™gq~ƒuiz³}‡i-uwzqg‡  uvs€u%dgw|hw|zf-ygiz³}~ƒ‚}~ƒuf-hi¬~eygw|y}©Õdgwzrxwzygw|hi~°

(6)

*1 + Ç/¯

Éw|hw|zi-ygioÁuŠ‚ds|~%{grpsM‚zi  s|yµoxh{Lw|‡uvs€y¨u%‡vw|rpiopy+udgi  i-Äzi-rpw|{ghi-y¨u%w|¦Gygw|ygrpopygis|‡É„/wzyzuv‡wzrudi-w|‡v‚|³

{s€‡uot„/qgrts€‡vrx‚  qg‡vopyguvdgiYrts|~ƒu0uŠÀ­w  i„s  i¬~-³?s€y  uŠÀ­w¯hs€‰Šw|‡0‡i¬s|~w|y~­s|„„/w|qyzuǦ§w|‡eoÁu~Çoph{wz‡ƒus€y„-i|°

‹ªy+uvdgi´‡v~ƒuÉ{grts|„-i|³dw|hw|zi-ygiw|q~s|{g{g‡vwM…?ophs2uvoxwzy~ei-ys|™grpiŽudgi¯oxy?Äzi~ƒuopzs2uvoxwzyw|¦ˆrxw}„-s|r{g‡vw|{Li-‡uopi~

w|¦ˆygw|ygrpopygis|‡Y~‚?~ƒuih~ud‡wzqg|d+uvdgi¯~ƒuq  ‚w|¦Š™Li/uui‡Y™Li-dsMÄzi  Ä|i¬„ºuvw|‡%´i-r ~ uŠ‚?{got„-s|rxrp‚|³udgis€{}©

{‡wM…}ophs€uopyg+Ä|i¬„ºuwz‡Ž´ir ~dsMÄ|i{Lw|rp‚?ygw|hots€rDŽ-w|h{wzygi-y¨u~s€y  ~{s|yÃygoxrp{Lw€uiy¨u¯s€y  w|‡´ygoxui-rp‚

zi-ygi‡vs€ui  Êopi0s|rxzi-™g‡s|~³Ms%¦Isz„ºuSÀdgop„d¯‡i¬~ƒqrÁu~opy(~oph({rxi‡„-w|h{gq}us2uopw|y~-°Ø$Li¬„ºuvoxÄzi0hi-udgw  ~i/…}ot~Šu

¦§wz‡Éuvdgi¯„-w|y~ƒu‡vq„/uopw|yQw|¦Gdgw|hw|zi-ygiw|q~És€{g{g‡vwM…}oxhs€uopw|y~ ~i-im¨ui-¦Is€ygo’€jg³[’z“ˆs|y  Éi-‡vh(i¬~p𔾳

¦§wz‡opy~ƒuvs€y„/i|°! É~¯{wzoxy¨ui  w|qgu¯opyÃudgw¨~ƒi‡i-¦§i-‡vi-y„-i~³dw|hw|zi-ygiw|q~s|{g{g‡vwM…}oxhs2uvoxwzy~Ž„-s|yٍi+~w

„-w|y~ƒu‡vq„/ui  sz~Guvw{g‡vi~i-‡vÄ|iəs|~op„%{g‡wz{i‡ƒuvoxi¬~Çw|¦udgiYw|‡voxzoxys€r~‚}~Šuvi-h+³?rxw}„s€r„-w|y¨u‡vw|rprts€™goprxoxuŠ‚(™ioxyg

wzygiew€¦Ludgih+°Scedi%~ƒi¬„/w|y  ‡visz~ƒwzyot~Sudiq~ƒi-¦§qgrpygi~v~ˆw€¦[dgwzh(wz|iygi-oxuŠ‚opy~w|rpÄ?oxyYuvdgie¦§i-i  ™sz„²¯~ƒuvs2©

™oxrpox«¬s2uvoxwzy{g‡vw|™grpi-h ¦§wz‡*yw|ygrpoxyis€‡ˆ~‚}~Šuvi-h~-°*‹ªy



ii



³€dw|hw|zi-ygioÁuЂބ-s|y™Li­Ä?ot~ƒqs€rpox«i



sz~SsÉys€uqg‡s€r

i-…?ui-y~ƒopw|y¯w€¦[rxopygis|‡oxuŠ‚|³€s|y



~ƒiÄ|i-‡s€r¨{g‡vw|{Li-‡uopi~Sw|¦rpoxygi¬s€‡ˆ~‚?~ƒuih~ˆs€‡vi0s|rp~wYÄ2s|rxo



¦§wz‡ˆdgw|hwz|i-yi-w|q~

wzygi~TÄ?otshopygw|‡Žs



‰Šq~Šuvhi-y¨uv~°(cedi„-w|‡vygi-‡~ƒuw|yi‡i¬~ƒqrÁuŽopy uvdgop~



ox‡vi„/uopw|yʳ{g‡vw2Ä|i



™?‚QŒw¨~ƒopi-‡kopy

圀•¾³­™s|~op„s€rprx‚Ã~ƒuvs€ui~¯uvds2uox¦Éudi+„-w|y¨uopy?qgw|q~Äzi„ºuvw|‡(´ir#" ot~¯dw|hw|zi-ygiw|q~(s€y  udgi+wz‡op|opy

w|¦%$

&('

"*)

&,+

ot~ks|~‚?h({guw€uvop„s€rprx‚µ~ƒuvs|™grxiz³Ludgiy uvdgi-‡vii-…?ot~ƒuv~ks~q}®Å„/opi-y¨urp‚  oLi‡iy¨uots€™grpiÍ}·2Ó·-¨¿-Æ

½[¿·2¹?»+ʂzs|{gqgygw2Ħ§qgy„/uopw|yʰ. q~ƒi-¦§qgrL„-w|‡vw|rprps|‡‚z³  i-‡vopÄ|i  ™?‚†w|hi/ues€y  m}s|h~ƒwzyoxy/åœ102¾³¨i/…?uiy  ~

Œ%wz~oxi‡ ~‡i¬~ƒqgrxuˆuwTuvdgi%„-sz~ƒieÀdgi‡i " i-{Li-y  ~ˆ{i‡opw  ot„-s€rprp‚w|y¯uophi|°Ç—Yygi  w|hs|oxy(oxyÀdgot„d(udgi¬~ƒi

{‡wz{i‡ƒuvoxi¬~És€‡viަ§‡vqgoxuƒ¦§qgrSot~%uvdgi¯~‚?yzuvdgi~ot~Éw|¦ˆ¦§i-i  ™s|„²+~Šus€™goprpox«i-‡~¦§w|‡(½L·€½gÍ}·x·€½L·2Ó(ÏIÌ(»ºÔM»º¼Õ¿-Ó¯»ŽÖIoxy

wzqg‡%„/wzy¨ui/…?u¬³}udgi¬~ƒis|‡i  ‡vox¦Èurpi~v~%~ƒ‚}~ƒuih~%ÀoÁuvdµrxi¬~~„-w|y¨u‡vw|ropyg{gq}u~uvds€yµ~ƒuvs2uviŽÄ2s€‡vops|™grxi¬~v×/°3 É~%op~

{‡i¬~ƒiyzuvrx‚(À0i-rpr²?ygw2Àyʳ?~q„d~‚?~ƒuih~  w¯ygw€ue~s€uot~Ц§‚540‡vw?„²zi/uu ~ˆygi„-i~v~s|‡‚„/wzy  oxuopw|y¦§wz‡T̏·2½¼BÏȽÆ

¹·€¹?»É{gqg‡vi~Šus2uvi¯¦§ii  ™s|„² ~ƒuvs|™goxrpop«s2uvoxwzy9ÖB„º¦Š°640‡vw?„²zi/uu’Õ³m?wzy¨uvs€7’zœ2§×º°Åc*w+i-rpq  iuvdgiq~i(w|¦

 op~v„/wzyzuvoxy?qgwzq~Ç~ƒuvs|™goprxop«-i‡v~³zwzygiÉi Li¬„ºuvoxÄziYs€{{g‡w¨s|„dń-w|y~op~ƒuv~Çoxyq~oxyg(~ƒhw?w€uvdQ¼¾ÏÈÓ¿-Æ98M΀¶ºÔ2ÏȽY¦§ii  ©

™s|„²ÅrtsMÀ%~-°­cedgop~%ui¬„dgygotËzqiŽÀ0sz~~ƒq„„/i¬~~ƒ¦§qgrprx‚oxy¨u‡vw  q„-i  ™?‚m}s|h~w|y+opy7œ|›uvwÅs|~‚¨h{}uvw€uvop„s€rprx‚

~ƒuvs|™goprxop«-i„/wzy}´|q‡vs€uopw|y~¯Ö§o¾°iz°Ž{wzoxy¨uv~Topy uvdgi~Šus2ui-©Õ~{sz„/i¬×%w€¦­s„-s|‡ƒu©¾rpop²|i|³Lygwzygdgw|rpw|yw|hop„hw|™goprxi

‡vw|™Lw€u¬°Sm}w¨wzys€¦Èui-‡¬³ *­w|‡vw|y/j:Ê~dgw2À0i



uvds2u%s€y?‚~h(w?w|ud



‡ox¦Èurpi~v~e~ƒ‚}~ƒui-h'„s€y™ik~Šus€™goprpox«i



uvw(s

{Lw|opy¨u™¨‚Å~hw?w€uduophi/©Õ{i‡opw



ot„%¦§ii



™sz„²[° *­wzy~ƒu‡vq„ºuvoxÄziTs|{g{g‡vwzs|„di~GÀ0i-‡viT{g‡wz{w¨~ƒi



™?‚†w|hi/u

åœ:;Ǧ§w|‡¯sQ„/rts|~v~kw€¦  ‡voÁ¦Èuvrxi¬~~¯~ƒ‚}~ƒuih~³Ss€y  ™?‚ *­wz‡wzyÃs€y  †w|hi/u<;:Ǧ§w|‡¯„/w|y¨uv‡wzrxrts€™grpi  ‡voÁ¦Èuvrxi¬~~

~‚}~Šuvi-h~°*Éw2À­iÄ|i-‡¬³€s€yoph{wz‡ƒus€y¨uÇ~dgw|‡uv„-w|hoxyTw|¦Ê~ƒhw?w€uvd¯uvoxhi-©¾{Li-‡voxw  ot„%~ƒuvs|™goxrpop«-i-‡~Sot~ˆuds2u³|¦§w|‡

hw¨~ŠuÉopygoxuots€r„/w|y  oÁuvoxwzy~³uvdgi‡s2uiw€¦G„/wzy¨Äzi-‡v|iy„/ikot~%ygw|uÉi/…}{Lw|ygiyzuvops|rB³[s|~%À0sz~e´‡~ŠuT{wzoxy¨ui  w|q}u

opyQm}s€h~w|y+s€y  ÉoÁu©= ə  i‡‡s€doxh>’š?¾°A@+qg‡v‡vsM‚i-uÉs€r¾°Bœ|’*~dgw2À­i  uvds2uÉ~hw?w€ud³}uophi/©Õ{i‡opw  op„

¦§ii  ™s|„²+„-s€yygw€uÉi-…}{wzygi-y¨uots€rprp‚~ƒuvs|™goxrpop«-iyw|ygdgwzrxwzygw|hot„Ž~ƒ‚}~ƒuih~%uws{wzoxy¨u¬³LÀdi-‡vis|~CTqg‡Ä?oxuv~

s|y  ÊoD•:*{g‡vw2Ä|i  uds€uFEzr i‡Y„-w|y¨uopy?qgoÁuŠ‚w€¦ˆuvdgi„/wzy¨u‡vw|rÊrtsMÀ%~Àes|~uvdgidgop|di~ƒuɇi|qgrts€‡voxuŠ‚Åw|ygi

„-w|qgr s€oph s€u%oxy+w|‡  i‡euwÅs|„doxiÄ|iki/…}{Lw|ygiyzuvops|rʄ/wzy¨Äzi-‡v|iy„/iz°.@ *­rpwz~²|i‚s€y  @+q‡‡sM‚„-s|‡i-¦§qgrprx‚

~ƒuq  oxi  udiY„/wzy?Ä|i-‡v|iy„/i‡s2uvi%w€¦~w|rpq}uvoxwzy~-³¨s€y  oxy/pš¬“}³š2;uvdgi-‚{g‡vw|{Lwz~i  sGFEzr i‡­„-w|y¨uopy?qgw|q~

~ƒuvs|™goprxop«-i‡¦§w|‡%rpw2Àe©  oxhiy~ƒopw|ys€r~ƒ‚}~ƒuih~%oxyµ{Lw2À­i‡ƒ©¾¦§w|‡vh+°Çcedgiox‡¦§ii  ™s|„²–ÖIygw|yg©ox{~v„dgoxu«s€u%udgi

wz‡op|opyµ™gq}uŽ~h(w?w|udQirp~i-Àdgi‡iM×e‡vi-y  i‡i  udgi„/rpwz~i  ©¾rpw?w|{Q~‚?~ƒuih dw|hw|zi-ygiw|q~Éw€¦  i|‡vi-i«i-‡vw

s|y  uvdgiÉwz‡op|opyÀ0sz~G~dgw2Àyuw™iTrxw}„s€rprx‚IH|©Õi/…}{Lw|ygiy¨uots€rprx‚~Šus€™grpi|°Scedgi¬~ƒiY‡i¬~ƒqgrxuv~­~ƒ{qg‡‡vi  ¦§q‡ƒuvdgi-‡

 i-Ä|irxwz{ghi-y¨u¯w|¦Y„/wzy¨uopy¨qw|q~¯ygw|yg©Õ~hw¨w|ud dgw|hw|zi-ygiw|q~¯~Šus€™goprpox«i-‡~¯s|y  ³ˆuvw  s€uiz³ˆudgi‡ii/…}ot~Šu

~i-Äzi-‡s€r¦§ii  ™s|„²+„/w|y¨uv‡wzrp~Àdop„dµ¦§wzrxrpw2À ‡irps€ui  {g‡voxy„-ox{rxi¬~És€y  i-y~qg‡viJHz©¾i-…?{Lw|yi-y¨uots€r~Šus€™goprxoxuŠ‚

ÖB„º¦Š°S¦§wz‡oxy~ƒuvs|y„/i5pš0?³œ10¨³Êš¬•}³Êš¬›}³œ€”§×º°

(7)

—Yygi–Ëzqi~ƒuopw|y Àdgot„d udgiy s€‡vot~ƒi¬~op~(·Â¼IÍ}¿º»-¿EÌv·€½¼¾ÏȽ¹·€¹?»Õ¼¾ÏÈÓ¿-Æ982Î2¶ºÔ2ÏȽÃÍ?·€Ó·¨¿/½[¿v·€¹?»

Ñ/¿¿Ðz¸vÎz̬»¶v¿º»-¿-¶?8M¿DHLƃ¿g·2½L¿-½¼¾ÏIλº¼ÕΨ¸ºÏÒÏȼ¾ÔSÍ}¿/½¼BÍ?¿TÎ|Ì-¼B¹Î:g»ºÔM»º¼Õ¿-Ó»F82¿Ì/¼ª·2¶­¿xÐM»YЀÏÉ¿/¶É»?ÒÏ2ͨ¼ÁÔ

я¶v·2Ó#¼BÍ?·M»-¿E¹?»-¿Ðb¼ª·9Ð|¿/»Ï|½¼BÍ?¿(Ñ/¿¿vШ¸vÎ|Ì xÎ! cedgiE{g‡vi~i-y¨u{s|{i‡s

g

‡vi~v~ƒi¬~udop~op~v~qgi ™?‚

´‡v~ƒu%{g‡vw|{Lwz~oxygs  i-´ygoxuopw|y+w€¦S‡wz™gq~ƒuygi¬~~ew|¦Ss(¦§ii  ™s|„²~ƒuvs|™goxrpop«-i-‡Àoxudµ‡vi~{Li„ºuuvw+¹}½Ó·Ðz¿ x¿Ð

ЀÔ2½L΀ӯÏIÌ/»º³*s€y  uvdgi-yE{g‡vw2ĨopyguŠÀ­wudgiw|‡vi-h~°¯Œwzqg|dgrp‚Q~ƒuvs2uvi  ³Êudgi¬~ƒi(udi-w|‡vi-h~Ti~ƒuvs|™grpop~d uvds2u

¦§wz‡~ƒwzh(iT„/rts|~v~ƒi¬~0w€¦*~‚}~Šuvi-h~0ÀoÁuvdygwzy}©ª„/w|y¨uv‡wzrxrts€™grpi%rpoxyis€‡es€{{g‡wM…}ophs2uopw|y~-³¨‡wz™gq~ƒu0i-…}{wzygi-y¨uots€r

~ƒuvs|™goprxop«s€uopw|y „-s€yygw€uřLi s|„doxiÄ|i  ™?‚ hi¬s€y~w|¦k„-w|y¨uopy?qgw|q~dgw|hw|zi-ygiw|q~(¦§ii  ™s|„²[° Y~À­i

~ds|rxrˆ~i-i|³wzqg‡T‡i¬~ƒqgrxuv~k„-w|y„-i-‡vy ~ƒ‚}~ƒuih~TÀoxud  ‡voÁ¦ÈuÅÖ§iz°°Žudi(qy  i-‡©ªs|„ºuvqs2uvi  ~vs2uvi-rprxoxuiM×Ts|~YÀ­irxr

sz~~ƒ‚}~ƒuih~eÀoxudw|q}u  ‡vox¦ÈuÖ§i|°°S²?opygi-hs2uvop„khw  irp~ew|¦hw|™oxrpik‡wz™w|uv~×º°

cedgiwzq}urpoxyi(w|¦Gudi({s€{Li-‡kop~ksz~ɦ§wzrxrpw2À%~°‹ªy m}i„ºuvoxwzyEœÀ­i‡vi„s€rpr*™sz~ƒot„(„/w|y„/i-{guv~T‡irps€ui  uw

dw|hw|zi-ygioÁuŠ‚z°Ê‹ªym}i„ºuvoxwzy(’YÀ0i  i/´ygi0Àds€uSÀoprpr}™iehis|yzuˆ™?‚އvw|™gq~ƒuyi~v~Àoxud‡vi~{i¬„ºuuwŽsY„-rpsz~~

w|¦ˆh(w  ir*{Li-‡uq‡™s€uopw|y~°Ém?i¬„ºuopw|y j„/wzyzus€opy~euvdgihs€opyQ‡vi~qgrxuv~És|y  udi-op‡Y{g‡vw?w€¦I~°‹ªy–m?i¬„ºuopw|y “

À0i  ot~v„/q~v~ˆuŠÀ0wi/…gs|h({rxi¬~ˆw|yÅdw2ÀÂuvdgi~iɇvi~qgrxuv~Çs|‡ieuŠ‚?{got„-s|rxrp‚s€{g{grpopi  °Gm?i¬„ºuopw|y6;{g‡vw2Ĩo i¬~G~ƒwzhi

„-w|y„-rxq  oxy(‡vi-hs|‡²}~°

c*w–~oxh{grpox¦§‚–uvdgiyw€uvs€uopw|yÃÀ0iÅrpi/u#"$%'&

'

"(%()+*,.-s€y  hs|²|iq~iw|¦F40sz„dghs€ygyg©*s€y  s|q ~

yw€uvs€uopw|y s|~¯¦§w|rprpw2À%~-° CToxÄzi-y ¦§qgy„/uopw|y~ "0/21!3 )"$%546"87"

+

s€y :9;/<1!3 )"(%7"

+

~q„dÂuvds2u

9)

&,+*' ,(o

& '

,g³}À0ikÀ‡oxuiF " ot~>= )?9

+ Ö§wz‡ " ' = )@9

+

×eox¦¦§w|‡%s€rprA / "

BDCFE

GH 3 I"*)

&KJ A + I

I9 )& + I ' ,.L

m}oxhoprps|‡rp‚|³ " ot~M )@9

+ ÖIw|‡ " ' M )?9

+

׎his|y~kuds2u¦§wz‡s€y?‚NA / " uvdgi-‡vii/…}ot~Šu¯s+‡vis|rˆy?qgh™Li-‡

OQPR,s€y  sygi-op|d?™Lw|‡vdgw?w TS w€¦*udgiŽwz‡op|opy+~ƒq„duds2u

I

"*)

&J A + I

I

9)

&,+

I0U

O

¦§wz‡i-Äzi-‡v‚

&

/VS )+*,W-z°

X Y

1*%,-";)1:;6,­)¯,-,/

cediަ§w|‡ud„-w|hopyg‡i¬„-s|rxrt~%s€‡viŽrpoxhoxui  uwuvdgi™sz~ƒot„  i-´ygoxuopw|y~Ys€y  {g‡vw|{Li-‡uopi~%w€¦ˆdgw|hwz|i-yi-w|q~

~‚}~Šuvi-h~°k±w|‡khw|‡vi  i-uvs|oxrpi – op~v„/q~~oxwzy~³uvdgi(‡i¬s  i‡Yot~T‡i-¦§i-‡v‡i  uwi|°°J%i‡hi¬~pš”Õ³KZŽsMÀ%~²?o

pš|š|³Êš¬œ2Êwz‡Y—YrxÄzi-‡ åœ|“2Õ°

[]\_^ `;acbdaefg>fachji6kmlonpnrq_gpeci

Éyts[©Buvqg{grpiw€¦%~ƒu‡vop„/urp‚ {Lwz~oÁuvoxÄziŇi¬s€rt~!u

' )uv

J

LLL

Ju % +

op~¯„-s€rprpi  s+ÝÚxwzy|{ ¡N} Ú ¤|¡ Þ ¢ °/CTopÄ|iy s

À0i-op|d¨uÄ|i¬„ºuvw|‡~u¯s|y  s¯‡vis|r€PR,g³?udiŽhs|{g{gopyg‚#ƒ„…&†"o%ˆ‡‰"o%  i/´yi  ™?‚

 ƒ„ )& + ' )

ƒŠ

& v J LLL

J 

ƒŒ‹

& % +Ž

ot~%„s€rprxi  s ß w.§£g¡ w§Þ| ޑ%ÝÚxwzy|{ ¡ u?°0cedi~s|h(ikuvi-‡vh4ot~w€¦Èuvi-yµq~i  uvw‡i-¦§i-‡uvwµ¼IÍ}¿’SÍ}·x¿eÑ/΀ӯÏÒÔ

w|¦  oxrts2uvoxwzy~oxy  i/…}i  ™?‚“0P”,g°  oxrts2uvoxwzy w€¦kÀ­ioxzdzu•uEÀoxrpr%™Li  i-yw€ui  s|~T#ƒ€° —Y™~ƒi‡Äzi

(8)

uvds2u%Àdi-y u ' ) J J LLL

J +

³gw|yiT‡vi„-w2Ä|i‡v~Çudgi„-rpsz~~ot„-s€rʄ-w|y„-i-{}uw|¦dgwzhw||iygi-oxuŠ‚|³¨uvdgi



oprps€uopw|y~

™Li„-w|hidgwzhw€udi/uopi~³s|y



opy+udgot~T„-s|~ikudi



oprps€uopw|yµot~%‡vi/¦§i‡‡vi



uvws|~euvdgi  ¡£



ߣ}¢2ßß

w

.§£g¡

w§Þ|

g°

*­wzy~ƒo i‡s  oprts2uopw|y  ƒ|° ¦§qy„ºuvoxwzy " &p"o% 4 "m‡ "6ot~~vs€o uw ™i{Þ Þ‘yÚW*Ú¨Þ * 

ޑ ß Úxy ¢ Ú?Ú E݅w¡ { ¢ Ú   Ú ¤|¡¡ Þ6#ƒÅÖ§wz‡™g‡voxi‚|³.u¬©Õdgw|hwz|i-yi-w|q~ew€¦  i-z‡ii×oÁ¦ "*)#ƒ„ )

&J

A

++ '

 "*)

&KJ A +

¦§wz‡ˆs€y?‚ )

&J

A + / "o%’4p"0°B 9Ä|i„/uwz‡´ir & )

&KJ

A

+

‡ ,)

&KJ A + '

) v )

&J A + J

LLL

J % )

&J

A

+-+



ot~%~vs€o uvw™i{*Þ Þ yLÚWÚ?Þ   Þ  ß Úxy ¢ Ú?Ú Ý•w¡ { ¢ Ú   Ú ¤€¡¡ Þ6#ƒÖ§wz‡%™g‡voxi‚|³Wu¬©Õdgw|hw|zi-ygiw|q~

w|¦  i-z‡iiÊ׎ox¦Š³S¦§w|‡i¬s|„d

' J LLL

J

sˆ³udiŦ§qgy„/uopw|y ot~’u¬©Õdgw|hwz|i-yi-w|q~Žw€¦  i|‡vi-i 5u °

‰{*Þ Þ‘yÚW*Ú?Þ *  *Þ ¢& £g ¬  Þ ¤ w£}¡ Ú ß Ý…w¡ { £ß w.§£}¡ w§Þ‘  ƒ9Ö§wz‡™‡opi‚z³Ys|y u¬©¾yw|‡vh×ot~s

„-w|y¨uopy?qgw|q~­{Lwz~oxuopÄ|i/© i-´ygoxuikhs€{g{gopyg5H‚& "(%ˆ‡‰"Àdgot„dot~]u¬©Õdgw|hw|zi-ygiw|q~0w|¦  i|‡vi-ikw|ygiz°

w€uiÉuds€uG¦§w|‡ P“,³zsk¦§qgy„ºuopw|y " Àdop„dot~cu¬©Õdgw|hwz|i-yi-w|q~ˆw€¦  i|‡vi-i ot~!xu¬©Õdgw|hwz|i-yi-w|q~

w|¦  i-z‡ii"# udgot~oph{grpoxi¬~uvds2u¯udgiÀ­ioxzd¨uv~„s€yÂs|rxÀesM‚}~Ž™Liygwz‡hs|rxop«-i  ~ƒw sz~Žuvw dsMÄzi‚uv

'

°% %rt~ƒw³*™?‚Ei-Ä|iy¨uqs|rxrp‚ ‡vi-ys|hoxyg+uvdgi„-w¨wz‡ oxys€ui¬~-³*À­i„s€yÃs€‡v‡s€ygzi¯uvdgi„-w|h{wzygi-y¨u~w€¦]u+opy

yw|y  i¬„/‡visz~ƒopygwz‡  i‡°ˆced?q~³?ÀoÁuvdgw|q}urpwz~v~0w€¦*zi-ygi‡vs|rxoxuŠ‚|³¨À0iksz~~qghiYudg‡vw|qgzdgw|qguÇuds2u ' uv

U

u$

U&%%%.U u % °

Y~~qghi uvdgi „/w|h{Lw|ygiy¨uv~w€¦uvdgi–À0i-op|d¨uÄ|i„/uwz‡Tu

' )uv

J

LLL

Ju % +

us€²|i('*)  ot~ƒuopy„ºu

Ä2s|rxqgi¬~-³  i-ygw|ui  s|~ru v J

LLL

J

u,+ ÀoÁuvd

' u

v.-

%%%

-

u,+

' u %

°±w|‡Žs€y?‚€"o%[©ÕÄMs|rxqi  hs|{ " ³0/

Àoprpr‡vi-{‡i¬~ƒiyzuTudi u¬Ü£}¢M¡ w¡ w§Þ| ޑ " ³Àdgot„d–„/wzy~op~ƒuv~Tw€¦!'8~qg™}©ÕÄ|i¬„ºuwz‡v~1/

v J LLL

J / +

~q„dQuvds2u

" ' )/ v J LLL

J / + +

³[s€y  ~q„d+uds2u ",2 ) / * J LLL

J

so-

+

op~Ys€yµi-y¨uv‡‚w€¦3/4 )65 / * J LLL

J

'-

+

o

u 2 ' u 4

°ˆ±gwz‡oxy~Šus€y„-i|³?oÁ¦ou

' ) J87 J87.J97 +

s€y  " ' )" v J " $ J

";:

J

"=<

³?udgiy>'

'@?

³xu

v ' J u $

'A7

³

s|y  / ' )/ v J/ $ +

Àoxud/ v ' )=" v +

³B/ $ ' )" $ J

";:

J

"C<

+

°cedgiq~iw€¦­™Lw|r ~ƒ‚?h™Lw|rt~Ö§iz°°/

JED

×Éuw

 i-ygw|uik{s€‡uoxuopw|y~ew€¦SÄ|i„/uwz‡v~0Àoprxr™Li„/wzy~ƒot~ƒui-y¨uvrx‚„-w|y~i-‡vÄ|i  dgi‡i¬s2¦Èuvi-‡¬°

[]\?[ [email protected] f0HKJWq_fKiaMLV` acbdaecfKg>fa hpiONNfBPQJxa3HSR•qŒfBTEUpi

i/u#ƒG™Li0s



oxrts2uvoxwzy¯s|y

WV

&

&"

‡ V )& +

sÉ~hw¨w|ud u©Õdgwzh(wz|iygi-wzq~ÊÄzi„ºuvw|‡´i-r



w|¦



i-z‡ii3X?°$Êi/u

Y ' )Y v J LLL

J Y + + s€y



D!' )D v J

LLL

JED

+ + 

iygw€uviŽudgiu©Õ{s|‡ƒuvoÁuvoxwzy~%w|¦

V

s|y

 &

³L‡i¬~ƒ{Li„/uopÄ|i-rp‚|°

cedi-y

Z[Q\^]Î|Ì/͵̏·€Ópg·2½[¿/½¼0·ŠÑ V Ït»Î }·:ÒÔ2½L·€Ó¯ÏIÎ:¨Ñ¹}½[Ì/¼¾ÏI·2½°

Z`_0\Wa§ÑG¼BÍ?¿Ç»ºÓ··€¼IÍ 82¿vÌ-¼ª·2¶ 0¿ xÐ Vcb

Ït»Ku?ÆÕÍ}·2Ó·-¨¿/½[¿·2¹?»0·ƒÑ0Ðz¿ |¶¿¿dX

b

L¼BÍ?¿-½e V J

Vcbgf

Õ¼BÍ?¿ SÏI¿%¸/¶Î|̀¿/¼D

Ït»]u¨ÆÕÍ}·2Ó·-¨¿-½L¿·2¹?»¯·ƒÑÐ|¿=|¶¿¿hX iX b °

Z^jk\^l·€¶¿vÎzÌºÍ 5•/ * J LLL

J

'- G¼IÍ}¿Ì·2Ójg·2½L¿-½¼B»·ŠÑmY 4 Î2¶¿

s¨×ÉÏIÐz¿/½¼BÏȈÎ:ÒÔ¬¿-¶·ÏÑ]u 4 -on

X?³

™×ŽÌ·€½g»º¼Õ΀½¼­ÏÑ~up4

' n X?³

„¬×Sя¹}½LÌ-¼BÏI·€½g»k¼IÍ}Î2¼A8M΀½Ït»ÍµÎ€¼Ç¼BÍ?¿(·2¶ºÏ|ÏȽ–ÏÑ>up4 P n X?°

ZWqB\Ir*½Pp¿º»» Vts ,WGÏȼB»ŽÐz¿=€¶¿¿XÍ?Î2»¯Î5x· Ç¿/¶(¸v·€¹}½LÐ,uvX)

n

u,+°

Z`w0\Wa§Ñ~u

' ) J LLL

J + ΀½LÐ^X

-

,WG¼BÍ?¿-½ V Ït»Ìv·€½g»º¼ªÎ2½¼¾°

Z^xk\Wa§Ñ X

-

,µ¼BÍ?¿-½.Ñ/·€¶¿Î|Ì/Í 5‚/ * J LLL

J

'-†Ç·2½ ÒÔ

D v J LLL

JED

4y v ÓÎ2ÔΆg¿Î2¶¯¿ ÒÏIÌ-ÏȼÁÔÅÏȽ"Y.4

(9)

[]\ `;acbdaefg>fachjiRnpn1H.a]qbdlBJ.q_acgpi

i/u

$

J'

" 3 ) +

2 v " 2 ) +

2 ֊š¬×

‡vi-{‡i¬~ƒiyzuTs€y s€®yi¯„/wzy¨u‡vw|r*~‚}~Šuvi-h  i-´ygi  oxy"o%ˆ³ÀoÁuvd rpw}„-s€r„/w?w|‡  opys2uvi~

6' ) v J

LLL

J

% + ³

„-w|y¨u‡vw|rÄzi„/uw|‡

%' ) v J

LLL

J

+  / "

s€y %"

3 J LLL

J "

~h(w?w|udµÄ|i¬„ºuvw|‡e´ir ~°,#%ygrpi~v~%w|udgi‡ƒ©

Àot~i~Šus2ui  ³À0is|~v~qghiYuvds2u " 3 ),

+.'

,°­±gwz‡É~oxh{grpop„-oÁuŠ‚w€¦Si/…}{Lwz~oÁuvoxwzyʳÀ0i~ƒds€rpr~ƒrpop|d¨urp‚s|™gq~i

yw€uvs€uopw|y™?‚~w|hi/uvoxhi~„s€rprxopyg%82¿Ì/¼ª·2¶0¿ xÐs€y+s€{g{grpot„-s2uvoxwzy " &+"(%4€"5‡p"o%Ehs€{g{gopyg ) JA +

uvw "*)

J A +

oxy~Šuvis  w|¦*Ä?oxiÀoxy(oxuÉs|~s¯¦Is|h(oprp‚w€¦Ä|i¬„ºuwz‡e´i-r ~eopy  i-…?i  ™¨‚ A°

‹ªy+w|q‡e¦§‡vs|h(iÀ­wz‡²[³}s€yVu¬Ü {*Þ Þ‘yLÚx*Ú?Þ * (£KB*¢ Þw £}¡ w§Þ‘ Þ    Û  ¡ Ú [ݕw¡ { ¤ ÞÊÞ ¢2ß wtÜ

 £}¡ Ú ¤ { £ yLÚ

& '

) + £  ß ÝÚxwzy|{ ¡…} Ú ¤€¡ Þ ¢ u¯ot~s~ƒ‚}~ƒui-h

$

&<'

3 )& +

2

v 2 )& + 2 J

ÖBœ|×

Àoxud

3 J LLL

J

~ƒhw?w€uvdÄzi„/uw|‡0´ir ~-³~q„duds€u

3

ot~~u©Õdgwzh(wz|iygi-wzq~0w€¦  i-z‡iir,³gs€y  ¦§w|‡h

' J LLL

J!

³ 2 ot~]u¬©¾dgwzhw||iygi-wzq~0w€¦  i-z‡ii

X 2 - ,

oxy

&

©Õ„-w¨wz‡



oxys€ui¬~Çuvdgi~‚?~ƒuihփš¬×­op~%|opÄ|i-y™?‚

$

&<'

3 )

&,+

3 )& +

2" v ) 2)

& + Q2 )

&,+ + 2 J

ÖI’z×

ÀoÁuvd 4# ' = )Hxƒ%$&(')

+ Ö5 ' , J LLL

J!

³B

' J LLL

J

s×Y¦§w|‡s|y?‚ˆu¬©¾ygwz‡h>HÂÖ 4!# ot~kuvdgi.¾©Buvd

„/wzh({Lw|yi-y¨u%w€¦*udgiŽÄzi„ºuvw|‡0´ir 4¬×

udgi oxiJ Érxzi-™g‡s(Œ%s€yg² *­w|y  oxuopw|yÃÖ, Ɍ*e×0dgwzr ~s2ueudgiŽwz‡op|opy

*+-,/.

* V ), + & V /10KC32 ) 3 J LLL

J

+- ' " % L Ö§j¨×

Ú £}¢54

cedgot~



i/´yoÁuvoxwzy¯s€{{grxopi~i¬Ëzqs€rprx‚ŽÀ0i-rpr¨uw



‡ox¦Èurpi~v~S~ƒ‚}~ƒuih~eÖIoxy(Àdgot„d¯„-sz~ƒi

" 3

'

3 ' ,¨×º°

±w|‡kÖI~‚?h(hi-u‡vop„¬×



‡voÁ¦Èuvrxi¬~~e~‚}~Šuvi-h~-³[Ö§j?×Got~0s¯~q}®Å„/opi-y¨u0„-w|y



oÁuvoxwzy¦§w|‡0rxw}„s€r[„/w|y¨uv‡wzrxrts€™goprpoÁuŠ‚s2u0udgi

wz‡op|opyʰ±w|‡Ž~ƒ‚}~ƒuih~YÀoxud



‡ox¦Èukui‡h+³dgw2À0i-Äzi-‡¬³uvdgot~



i/´ygoxuopw|yEot~Yyw€uŽÄ|i‡‚



ihs|y



opygoxy–udgi

~i-y~ƒiuvds2uÖ§j¨×op~À­i¬s€²zi-‡ÖBs€y  i¬s|~oxi‡ŽuwQiÄ2s€rpqs2uvi¬×kuvds€yÂm}q~~hs€ygy ~¯~ƒq}®Å„-oxiyzu(„/w|y  oÁuvoxwzy ¦§w|‡

m}hs|rxrx©ªceoxhi Êw}„-s|r *­w|y¨u‡vw|rprts€™goprxoxuŠ‚QÖBmgc,*e׺°

6 Y

1*,-%" &(*)k*%";%

‹ªy–rxopygi¬s€‡k~ƒ‚}~ƒui-h~Yudi-w|‡v‚ÃÖI~i-i(i|°°±i-opyzuvq„d 02Gs|y  uvdgi¯‡vi/¦§i‡iy„/i¬~%uvdgi-‡vi-opy×/³‡wz™gq~ƒuygi¬~~Yw€¦­s

¦§ii  ™s|„²rpsMÀ Ö§Àoxud ‡i¬~ƒ{Li„/u%uwqgyghw  i-rpi Q ‚¨ys€hop„~v×hsM‚™Li  i-´ygi  oxyµuvi-‡vh~%w€¦Çs~ƒ{sz„/iw|¦

(10)

wz{i‡vs€uwz‡v~iy



w2À0i



ÀoxudEs~qgoÁus€™grpiuvw|{Lw|rpw|z‚wz‡Yhi/uv‡ot„€° ~ƒ‚}~ƒui-h ot~ɇvi-{‡i¬~ƒiyzuvi



™?‚bÎ }·€ÏȽ¼

opy uds2u¯~{s|„-i|³Ss€y



s+¦§ii



™s|„² rtsMÀ Àdgop„dÃ~ƒuvs|™goxrpop«-i~¯s+ygw|hopys€r­~ƒ‚}~ƒui-h!ot~„-s|rxrpi



‡vw|™gq~Šuox¦%oÁu

~ƒuvs|™goprxop«-i¬~iÄ|i-‡v‚Ž~ƒ‚}~ƒuih rpw}„-s€ui



»º¹9Ì-ÏI¿/½¼ÁÔY½[¿v΀¶ÇÖ§o¾°i|°oxy(sY~hs€rprzygioxzd?™wz‡dgw?w



w|¦v×uvdgi0ygw|hopys€r

~‚}~Šuvi-h+° dgi‡i¬s|~ÊsÉ~ƒophoxrts€‡Êzi-ygi‡vs|r€s€{g{‡w¨s|„dk„-s€ys|rp~we™i­q~i  oxyudgiDŽs|~iˆw€¦}ygwzygrxopygi¬s€‡Ê~‚?~ƒuih~-³

À0iŽs  wz{}uÉsys|‡‡vw2À­i‡­{Li-‡~{i¬„ºuopÄ|ik™?‚„-w|y~o i-‡voxys(ygwzhoxys|r~‚?~ƒuih ~qg™}‰Ši¬„ºuuw{Li-‡uq‡™s€uopw|y~

Àdop„dʳz™s|~ot„-s€rprp‚|³€s€‡vis g oÁuvoxÄzieui-‡vh~SÀoÁuvd~ƒq}®Å„-oxiyzuG‡vi-zqgrts€‡voÁuŠ‚z°*ØG~v~ƒiy¨uots€rprx‚z³2udgot~ˆÄ?opi-À{Lw|opyzuGÀes|~

s|rp~ws  wz{}ui  opyudgi  i-´ygoxuopw|y+w€¦S‡vw|™gq~ƒuyi~v~­zoxÄzi-yoxy%40i-yys€ygoÊs|y  Œw|q„dw|y(œ2Õ°

Úow¡ w§Þ‘ [ Y½ £gß$ w ¬  wŸ.Ú Ú ¢¬¡ Ê¢2Ÿ£}¡ wIޑ Ït»kλºÓ··€¼IÍÓÎ ÏȽ

‡ 9) J %+

»º¹ÌºÍ¼IÍ}Î2¼gÑ/·€¶

¿82¿/¶ºÔ / " 9) J %+

Ït»Î»Ó·¬·2¼BÍ<82¿vÌ-¼ª·2¶­¿xÐÏȽT"o% Î2½[Ð 9), J& +.'

,Ñ/·€¶¯Î

& / "o%3

Úow

¡

w§Þ‘@_ *¿-¼ t& "o%N4T"R‡m"

¸v¿Î%Ñ/¿¿Ðz¸vÎzÌxÎ9»º¹Ì/ͼIÍ}Î2¼­¼IÍ}¿·2¶ºÏ|ÏȽ–·ƒÑk¼IÍ}¿§½L·€Ó¯ÏȽ[Î

»ºÔM»º¼ª¿/Ó >ˆÏȼBÍ

' )

.J A +

Ït»Ip·ÌÎÁÔ ÎM»ºÔ2ÓpL¼Õ·€¼BÏȈÎ:ÒÔµ»º¼ÕΨ¸?p¿ ÊÍ?¿YÑ/¿¿Ðz¸vÎ|Ì <ˆÏ0¸v¿Å̏Îx¿Ð

¢ Þ Ÿ* ¡ ÏÑ €Ï82¿-½+΀½ÔÇÑ/΀ӯÏÒÔ·ŠÑTÎ|ЀӯÏt»»ºÏB¸?p¿8}¿-¶º¼¾¹}¶¸΀¼BÏI·€½g» 9 3 J LLL

J9

»-Î2¼¾Ït»ÈяÔ2ÏȽ 9 3 ) J ,

+*' ,ÉÑ/·€¶

¿82¿/¶ºÔ / " Y¼BÍ?¿-¶¿¯¿zÏt»º¼I»

3

P:,Q»º¹ÌºÍ¼BÍ?΀¼­¼BÍ?¿(·2¶ºÏ|ÏȽ÷ŠÑk¼BÍ?¿}¿-¶º¼B¹}¶¸v¿Ð%»ÔM»º¼ª¿/Ó

$

'

" 3 ) + 9 3 )

J +

2

v )",2 ) + 9,2 ) J ++

2)

.J A +

ÖB“|×

Ït» x·¬ÌÎÒÔÎM»ºÔ2ÓpL¼Õ·€¼BÏȈÎ:ÒÔÅ»º¼ªÎz¸ x¿ÇÑ/·€¶¯¿8M¿-¶ºÔ / en 3 J 3 f

Y~  i-´ygi  s€™Lw2Ä|i|³¨s  hot~~op™grxiÉ{i‡ƒuvqg‡™s2uopw|y~ˆhsM‚™LiÉÄ?oxiÀ­i  s|~GÄzi„/uw|‡G´i-r ~GÀdwz~i{i‡ƒuvqg‡™oxyg

i Li¬„ºuŽ„-s|y ™Li¯hs  i(sz~~hs|rxr s|~  i¬~ƒop‡i  ™?‚udgi„dgwzop„-iw|¦­s~hs€rprSi-ygwzqg|d¨°Ž‹Õ¦Ëzqs€y¨uox´i~

uvdgiƒqgy„-i-‡uvs€opy¨uŠ‚ opy+udgi²?ygw2Àrpi  |iŽw€¦Suvdgi‡vis€r*~ƒ‚}~ƒui-h ÀoÁuvdQ‡vi~{i¬„ºuuwÅudgiyw|hoxys€rwzygi|³udgi

¦§wz‡i|wzoxyg  i-´ygoxuopw|y~Gs|‡i‡visz~ƒwzys€™rxi­uwŽhw  i-rÄMs|‡opw|q~ˆ~ƒwzqg‡v„-i~Sw|¦Li‡‡vw|‡ˆopy‡i¬s€r„-w|y¨u‡vw|r}~‚?~ƒuih~-°

w|ygi-udgirxi¬~~³}s g oÁuvoxÄziY{Li-‡uqg‡v™s€uopw|y~Gl opy„-rxq  oxyg(hw|‡viYzi-ygi‡vs|rL„-rpsz~~i~³?~ƒq„ds|~  ot~„-w|y¨uopy?qgw|q~

wzygi~Šl s€‡vi(¦Is€‡k¦§‡vw|h ™Li-opygµi-…?ds€q~ƒuopÄ|i(uwµhw  irGs€rprG{w¨~~op™grxii‡‡vw|‡~Ö§{s|‡vs|h(i-ui‡Ti‡‡vw|‡~³Ê~Šus2ui

hi¬s|~qg‡ihi-y¨u0i‡‡vw|‡~³zuvoxhopygi-‡v‡vw|‡~-³¨i/u„€°å׺°

*­wzy„/i‡ygopyguvdgi¦§ii  ™sz„²rtsMÀ%~³À0i~ƒds€rprʦ§w}„/q~Yw|q‡És2uui-y¨uvoxwzyµw|y ̏·2½¼BÏȽ¹·2¹?»kÍ?·€Ó·¨¿/½[¿v·€¹?»

HLƃ¿ g·2½[¿/½¼BÏIÎ:}~Šus€™goprxop«-i‡v~°Ç†ˆ‡vopw|‡uvw|opĨopygs{g‡vi„-op~i  i/´ygoÁuvoxwzy+w€¦G~ƒq„d¦§ii  ™sz„²}~-³grpi/uYq~‡vi„-s|rxr

~w|hikygw|uopw|y~e‡vi-rts2uvi  uw~Šus€™goprpoÁuŠ‚z°*­w|y~o i-‡s„/w|y¨uvoxy?qgwzq~~ƒ‚}~ƒuih

)

+ & $

& '

"*)

&KJ A +

¦§wz‡­Àdop„duvdgiTw|‡voxzoxy

&<'

,ot~es€yÅi¬Ë¨qgoxrpop™g‡opqgh+°ˆcedgiTw|‡voxzoxyot~e~s|o uvw¯™Li  -¡¬£gŸ .ÚµÖ§opyÅudiT~i-y~iÉw|¦

‚zs|{gqgygw2Äg×ÇoÁ¦¦§w|‡%s|y¨‚ A3 / "s€y  s|y¨‚VP:,³?udgi‡iŽi-…}op~ƒuv~ X P“,~q„duds€u

& 3 - X

'

& )A J A 3 J & 3 + -

J A3):A

3 J

Àdi-‡vi

& ) %J A 3 J-&

3 +

‡vi-{g‡vi~i-y¨uv~*s%~w|rpq}uopw|yŽuvw )!

+

ot~~qgi  ¦§‡wzh

& 3 s€u(A

' A3

°cediÇw|‡vop|opyTot~   -¡¬£gŸ.Ú

ox¦S¦§w|‡T~ƒwzh(i‡i¬s€rt~>A

3

s€y  €P ,g³s|y  ~w|hi~i˨qgi-y„/i )& 3 #2 +

2#"%$ Àdgop„dQ„-w|y?Ä|i‡zi~0uvwÅ«-i‡w³}udgi‡i

i-…}op~ƒuv~%s~ƒi¬Ëzqi-y„-i )A 2 +

2#"%$ ~q„duds€u

& )A 2 J A3 J& 3 #2 +

)& Ö§Àoxud

& 3 #2‚/ " % J A2 ) A3 J'

/( ׺°

±opys€rprp‚|³}|opÄ|iys  oprps€uopw|y€#ƒ€³}uvdgikw|‡voxzoxyop~ot~~vs€o uw™LiÖ§rpw}„-s€rprp‚}×DHzÜvÚ Þ|ÚW ¡ w£ ..Û  ¡£gŸ.Úox¦Š³

¦§wz‡s€y?‚u¬©¾ygwz‡h HL³uvdgi-‡viÅi/…}ot~Šu¯‡i¬s€rGy?qgh¯™i‡v~X P ,g³ O P ,Qs€y *) P ,Q~ƒq„d–uvds2u¯¦§w|‡iÄ|i‡‚

A 3 )R,

H )& 3 + - X

'

H )& )A J A 3 J & 3

+-+

U O H )& 3 +,+

y.-0/21y31465

J A3)“A

3 L

(11)

Úow

¡

w§Þ‘&j L¹†g·M»-¿¼IÍ}Î2¼rÏt»¯Î2½Tu?ÆÕÍ}·2Ó·-¨¿/½[¿·2¹?»¯Î ¶·zÏÈÓ΀¼BÏI·€½Ã·ƒÑk»ºÔM»º¼Õ¿-Ó cˆÏȼBÍQÌv·€Æ

·€¶Ð2ÏȽ[Î2¼ª¿ÌºÍ}Î2½ z¿

&!' ) + ÊÍ?¿Ñ/¿¿Ðz¸vÎ|Ì xÎ ' ) v J LLL

J + /1!3 )

"o%t4ˆ"87"

+

ˆÏG¸v¿

̏Î:x¿ÐÎ

¤

Þ|

¡

w@

Þ

{*Þ

ޑyLÚx*Ú?Þ

HzÜvÚ Þ|*Úx

¡ w£ .e ¡£gŸ

w. wzÚ

¢

ÕÞ

¢

[-ÏÑ

¾Ï 2 Ït»]u?ÆÕÍ?·2Ó·z¿-½L¿·2¹?»¯·ƒÑÐ|¿=|¶¿¿

n X 2 ) ' J

LLL

J !+

¾ÏÈÏżBÍ?¿(·2¶ºÏ|ÏȽ÷ŠÑk¼BÍ?¿(Î †L¶·zÏÈÓÎ2¼¾ÏȽ»ºÔM»º¼Õ¿-Ó ˆÏȼBÍ

' )

&J A +

­Ït»HLƃ¿ g·2½[¿/½¼BÏIÎ:ÒÔ»º¼ªÎz¸ x¿

—Y™~ƒi‡Äziuds€u³}Àdgiyi-…?{‡i¬~~i  opyuvdgiTw|‡voxzoxys|r„-w¨wz‡ oxys€ui¬~

J' y v )& +

³sަ§ii  ™sz„² h(ii/uvoxyg

uvdgiއvi˨qgop‡ih(iy¨uv~0w€¦*udgiŽrts|~ƒu  i/´yoÁuvoxwzyÀoprprs€rt~ƒw+Ö§rpw}„-s|rxrp‚g×AH|©Õi/…}{Lw|ygiyzuvops|rxrp‚Å~ƒuvs€™oxrpox«iTudgiŽwz‡op|opy

w|¦Öƒš¬×/° ‹ªy  i-i  ³0udgi–i/…}op~ƒuiy„/iµw|¦s€yRu¬©¾dgwzhw||iygi-wzq~ ʂ¨s€{gqygw2Äæ§qgy„/uopw|y ot~ŝzqs€‡s€y¨uii  ³0opy

uvds2u„-sz~ƒiz³ˆ™?‚ s u‡vopĨots€r0i/…?uvi-y~oxwzybw€¦T†ˆ‡wz{w¨~ƒoxuopw|yÂj–opy †w|hi-us|y  m}s|h~w|y œ0 ¾°bcedi-‡vi/¦§w|‡vi|³

uvdgirpw}„-s|r,Hz©¾i-…?{Lw|yi-y¨uots€r~Šus€™goprxoxuŠ‚i-y~qg‡vi  ™?‚ Âot~É{‡i¬~ƒi‡Äzi  s2¦Èuvi-‡%uvdgi¯s g oxuopw|yQw|¦ˆ{i‡ƒuvqg‡™oxyg

uvi-‡vh~SÀdgop„d³|opyń/rpwz~i  ©Õrxw?wz{ʳ2‡i¬~ƒqrÁuGopy~ƒqgh~ˆw|¦‘u¬©Õdgw|hwz|i-yi-w|q~*Äzi„/uw|‡S´i-r ~ˆw€¦~ƒu‡vop„/urp‚{w¨~ƒoxuopÄ|i

 i-|‡vi-i¬~-°‹ªyQuds€uT~i-y~i 9op~AЇvw|™q~Šu uwuvdgi(s g oxuopw|yµw|¦Ç~ƒq„dµ{Li-‡uq‡™s€uopw|y~° i-Ä|i‡ƒuvdgi-rpi~v~³.

hsM‚¦Is|oxrÊuw™i‡wz™gq~ƒueopyudgi~i-y~ƒikw€¦Yi/´ygoxuopw|yQœg³s€y  uvdgiŽhs€opy+„-w|y¨u‡vop™gq}uopw|yw€¦*udgi{g‡i¬~ƒiy¨u

{s€{Li-‡%„/wzy~op~ƒuv~e{g‡vi„-op~i-rp‚opy{Lw|opy¨uopygw|q}uɄ-w|y  oÁuvoxwzy~eqgy  i‡Àdgot„d Ït»k½[·2¼‡vw|™gq~Šu¬°

)- ,º*

p\_^ F!JWlBJWfKbdfKgvJ

Ei´‡~ƒu~Šus2uiÅcedi-w|‡vi-h~šs|y



œ}³*udgihs|oxyÇvi~qgrxuv~ŽopyEudgiÅ{s€{Li-‡¬³s|y



hs|²|iÅ~w|hi‡vi-hs€‡v²}~

™Li/¦§wz‡ik{g‡vw}„/ii  opyg(uw(udi-op‡%{g‡vw¨w|¦I~-°

{Ú?Þ ¢ Ú [ k»v»º¹}Ó¿ ¼BÍ?Î2¼N! Í}ÎM»bÎ2½5u?ÆÕÍ?·€Ó·¨¿/½[¿v·€¹?»ÂÎ †L¶·zÏÈÓÎ2¼¾ÏI·2½ “ˆÏȼBÍ Ì·¬·2¶ЀÏȽLÎ2¼ª¿

Ì/Í?΀½¨¿

&M'

) + *¿/¼ !¸v¿ÂΠ̏·€½¼¾ÏȽ¹·2¹?» Í?·2Ó·z¿-½L¿·2¹?»%HLƃ¿g·2½[¿/½¼BÏIÎ:Y»º¼ªÎz¸/ÏÒϬ¿/¶ÅÑ/·€¶5

ŠÌBÑ N(¿@ǽÏȼ¾ÏI·2½ ¹†g·M»-¿¼BÍ?Î2¼ˆÑ/·€¶»-·2Ó¿…A

3 / " Î2½[е»-·€Ó¿ÏȽ¼ª¿=z¿-¶» / * J LLL

J - ΀½LÐ

/ * J

LLL

J

so-

)2

J A3 +'

, Î2½[Ð

n

X - u J

Ö;z×

SÍ}¿/¶v¿ 2 / "o%9Í?Î2»Î2¼G¼BÍ?¿

ƪ¼BÍ¿/½¼B¶ºÔÅÎ2½[л¿å»-¿SÍ}¿/¶v¿ ÊÍ?¿-½.Ñ/·€¶Î2½Ô P:,.S¼BÍ?¿ÇÑ/Î2Ó(ÏÒÔ·ƒÑ

ÎzÐ2Ó(Ït»»ÏB¸ x¿jg¿/¶º¼¾¹}¶¸vÎ2¼¾ÏI·2½» 9 2 ) ' , J J LLL

J! +

Ð|¿?G½L¿Ð¸ºÔ

9,2) J & + &'

0~ƒzy ) )2 JA 3

+-+

2 J ÏÑ ' J

, J

·2¼BÍ?¿-¶ˆÏt»/¿

J Ö 0€×

Ó΀¿/»k¼BÍ?¿(·2¶ºÏ|ÏȽ÷ŠÑk¼BÍ?¿>}¿-¶º¼B¹}¶¸v¿ÐÌx·2»/¿Ð€Æ9x··–»ºÔM»º¼ª¿/Ó SÍzÏIÌ/͵ÏȽ

&

ƃ̏·¬·2¶ЀÏȽL΀¼Õ¿/»ŽÏt»

$

& ' 3 )

&,+

3 )& + 9 3 )& +

2" v ) 2 )& + 2 )& + 9 2 ) J & +-+

)

&J

A

+J

ÖI•z×

¹}½»º¼ÕΨ¸?x¿2Í}¿/¶v¿IÑ/·€¶¿ Ït»Ž½[·2¼0¶·z¸/¹?»º¼ÇÏȽ ¼BÍ?¿Ž»-¿/½»/¿(·ŠÑj¯¿?G½ÏȼBÏI·€½

(12)

cediTyi/…?u%‡i¬~ƒqrÁue¦§w|rprpw2À%~0¦§‡wzh4cedgi-wz‡ih škoxyuvdgi~ƒ{Li„-oÁ´L„T„s|~ikw€¦



‡ox¦Èurpi~v~~‚?~ƒuih~-°

{Ú?Þ ¢ Ú _ G·2½»ºÏIÐ|¿-¶¯Î»ºÔM»º¼ª¿/Ó ·ŠÑ޼BÍ?¿­Ñ/·2¶ºÓQ •ˆÏȼIÍ " 3 '

,tÕÏÈ¿ ŽÎÐ2¶ºÏя¼x¿º»»Ž»ºÔM»º¼Õ¿-Ój;u

$

J'

2" v " 2 ) +

2 L ÖI›z×

L¹†g·M»-¿¼IÍ}Î2¼r»/΀¼BÏt»z0¿º»k¼IÍ}¿rFG Î2½LÐÎM»»º¹}Ó¿Ž¼BÍ?Î2¼[Ñ/·2¶(¿ 82¿/¶ºÔ / * J LLL

J

-

WCFE

*+-,/.

* V ), + & V‰/ 0C21)" v J LLL

J " y v J

"

& v J LLL

J " +- - s n փš”z×

ÕÏÈ¿2DT¸ºÔ¶¿-Ó·:8ÏȽ " ¼IÍ}¿Î|̏̏¿º»»ºÏB¸ºÏÁÏȼBÔ Ð€Ït»¼¾¶ºÏB¸/¹}¼BÏI·€½ Î2¼D¬¿-¶· x·M»-¿/»(Ó·2¶v¿¼IÍ}Î2½b·2½[¿ÅÐ2ÏÈÓ¿-½g»ºÏI·2½†:

ÊÍ}¿/½ e½[·+Ìv·€½¼¾ÏȽ¹·€¹?»Í?·€Ó·z¿-½L¿·€¹?»HLƃ¿g·2½L¿-½¼¾ÏIÎ*»º¼ÕΨ¸ºÏÁÏ¿-¶Ñ/·2¶VÏt»¯¶·z¸/¹?»º¼ÏȽE¼BÍ?¿»/¿-½g»-¿·ƒÑ

(¿?G½Ïȼ¾ÏI·2½

Ú £}¢54Ê 

[-—Y™~ƒi‡Äzikuds€uÉudii-Ä2s|rxqs€uopw|yQw|¦ˆudgi Їs€y²z©Õrpwz~v~ „/w|y  oÁuvoxwzyb֊š¬”z×  w¨i¬~Éyw€uY‡vi˨qgop‡vikudgi„/wzh¯©

{q}uvs€uopw|yw€¦Ês|y¨‚¯dgw|hwz|i-yi-w|q~ˆs€{g{g‡vwM…}oxhs€uopw|yʰcedgop~Gop~­„/w|y?Äzi-ygopi-y¨uÇ~oxy„-iudi%rps€uƒuvi-‡Çot~Çsk{‡w}„/i¬~~

Àdop„dw€¦Èuvi-y+‡i¬Ë¨qgox‡vi~e~oxzygox´„-s|yzui Lwz‡ƒu¬°

_ Y~ˆuwcedi-w|‡vi-hœ}³¨oÁu­op~ÇÀ­irxr²¨yw2Ày¯uvds2u­Àdgi-yuvdgi%rpoxygi¬s€‡0s€{g{g‡vwM…}oxhs€uopw|y $

& '

2

v 2),

+

2

w|¦ˆudgi(ygwzh(opys|r0ց ‡ox¦Èurpi~v~×É~‚}~Šuvi-h op~k„-w|y¨u‡vw|rprps|™grpi|³wzygi¯„s€yµ´y  rpoxyis€‡Y¦§i-i  ™sz„²+„-w|y¨u‡vw|rt~uvds2u

iy~qg‡iŽrpw}„-s|rB³sz~ƒ‚?h{}uvw€uot„Ž~ƒuvs€™oxrpoÁuŠ‚w€¦udgiw|‡voxzoxyʰA@+w|‡vi-w2Äzi-‡¬³¨oxuÉot~%i¬s|~‚uwńdgi¬„²Åuvds2uYs|y?‚~ƒq„d

„-w|y¨u‡vw|rLot~­‡vw|™q~ŠueopyuvdgiŽ~ƒiy~ƒi  i-´ygi  s€™Lw2Ä|iz°±w|‡ew|q‡0‡vi~qgrxuv~­uw™Likw€¦Ä2s€rpqgiz³?udgiŽs|~v~qgh{}uopw|y~

h¯q~ƒuÉudi-‡vi/¦§w|‡vii-…}„-rxq  iuvdgot~Y„-rpsz~~Yw€¦Ç~‚}~Šuvi-h~-°Tcedgot~Éot~  w|ygi¯Ä?opsuvdgi(‡i¬Ëzqox‡vi-hi-y¨u¯Öƒš”¨×º³[Àdgot„d

oph{grpoxi¬~uvds2u(udirpoxyis€‡s€{{g‡wM…}ophs2uopw|y ot~(ygw€u„/wzyzuv‡wzrxrts€™rxiz° ‹ªy  ii  ³ÇoÁ¦ToÁuÀ­i‡i„/wzyzuv‡wzrxrts€™rxiz³

,/.

) v ) ,

+J LLL

J

), + +

À­wzqgr ™LiVs s|y  ³ˆ™?‚ ‡ihw2ĨopygQs|y¨‚ Äzi„ºuvw|‡Ž´i-r ³Sudgis|„„/i~v~ox™goprpoÁuŠ‚

 op~ƒu‡vox™q}uopw|y+s2u%«i-‡vw¯À0w|qgr rxw¨~ƒiŽs2u%hw¨~Šuw|yi  oxhi-y~ƒopw|yʰ

p\?[ GIH.a~aMLi

²|i‚Yirxih(iy¨u*opyŽudgi0{g‡vw?w€¦}w€¦gwzqg‡Ê´‡~ƒu‡i¬~ƒqrÁuop~†ˆ‡vw|{Lwz~oÁuvoxwzyšG™irxw2À޳2Àdop„dŽhsM‚T™i0Ä?oxiÀ­i  s|~s

hw  ox´i  Äzi-‡~ƒopw|y¯w€¦[w|ygiew€¦Ludieudgiw|‡vi-h~Sq~qs€rprx‚‡i-¦§i-‡v‡i  uvws|~cSÔ|΍¹}½[·8¬Æ?*Í}¿/¼ªÎ|¿8|»YÏȽg»º¼ªÎz¸/ÏÒÏȼ¾Ô

¼BÍ?¿·€¶¿/Ó¯»ÖI~i-i¯i|°° És€dy ›³Êm?i„/u°Žœ|“Õ³Éo ‚zsz~s|zs€‡ ’ ;Swz‡jZkds|rxoprAxš¬’È×/°Y‹ªy–w|‡  i-‡%uw+~ƒoph{grxox¦§‚

uvdgiY¦§w|‡ud„-w|hoxy  ot~„-q~v~ƒopw|yʳ?À0iÉq~iYudgiY¦§w|rprxw2Àopyg¯ygw€us2uopw|ys€r[„/w|y?Äzi-y¨uopw|y~°.CToxÄzi-ys¯‡i¬s€r P:,

s|y  s¯{Lw|opy¨u / "o%ˆ³À­iŽ~i/u

S ) + &' * & / " % & & n U -

ÖIoB°i|° S ) +

op~Éudi(„-rxw¨~ƒi  ™s€rprw€¦G‡s  opq~ „-i-y¨ui‡i  s2u ×º° Érp~w³[|opÄ|iy s~i/u "o%ˆ³À0iÀoprxr

 i-ygw|uikoÁu~opyzuvi-‡voxwz‡s|~

. )!

+

s€y  oxuv~e™Lw|qgy  s€‡v‚s|~ °

Z ¢ Þ Þ   w¡ w§Þ|o[ G·€½g»ºÏIÐ|¿-¶¼BÍ?¿»ÔM»º¼ª¿/Ó

$

&<'

"*)

&J

A

+J

փš|š¬×

SÍ}¿/¶v¿ "N/€1!3 )"(%‚4’" 7 " +

Î2½LÐ "*), J A

+*'

,ÉÑ/·€¶T¿8M¿-¶ºÔpA / "B!T»»º¹}ӿɼBÍ?Î2¼S¼BÍ?¿-¶¿k¿zÏt»º¼GÎÇя¹}½[Ì/¼¾ÏI·2½

/:1 v )

"o% 7 " +

Î2½[Ð Î2½9· g¿/½Â»/¿-¼

"o%opˆÏȼBÍ , /

»º¹Ì/Í ¼BÍ?Î2¼

)& +

P<,ÃÏÑ & / ΀½LÐ

)

&,+ ' , ÏÑ & /

I~k»»¹}Ó¿SÓ·2¶v¿v·:8M¿-¶ ǼBÍ?΀¼­¼BÍ?¿-¶¿¿ zÏt»º¼

(13)

Î2½ · g¿/½–ÏȽ¼ª¿/¶?82Î "

¶¿Î*̏·€½g»º¼Õ΀½¼B»~O‰P“,W )ˆ/"f, J

eµÎ2½[Ð PR,W

»º¹Ì/ͼBÍ?΀¼ u )

&J

A + / e S ), +f 4 & ) + )

&J A +

)ROSe )& +f- L փš¬œ|×

ÊÍ}¿/½–¼IÍ}¿¯·€¶ºÏ€ÏȽ

&<'

,–·ŠÑ•0Ït»k¹}½»º¼ÕΨ¸?x¿2

Z ¢

ÞÊޑ9\ Êi-u#A

3 / s€y



„dgw?wz~i P ,–~ƒq„d uvds2u

b &' eA3 JA 3

A f

Ű Ei{‡w}„/ii



™?‚

„-w|y¨u‡s



op„/uopw|yÃs€y



s|~v~ƒqghiuvds2u¯udgiw|‡voxzoxy w|¦ÖŠš|šM×kot~¯~ƒuvs|™grxiz° cedgot~¯sz~~qgh{}uvoxwzyÃoxh{grpoxi¬~uvds2u

¦§wz‡Ts|y?‚

& 3 /

S P)

, + Àoxud

& 3

~ƒqg®„-oxiy¨urp‚Q~ƒhs€rpr¾³uvdgi~ƒwzrxqguopw|y

& )A +

uw ֊šzš¬×º³ot~v~ƒqgi



¦§‡vw|h

& 3 s2u‚A

' A3

³­op~  i/´ygi  ¦§wz‡•A / eA3

J

eSs€y  ~vs2uot~ƒ´i~

& )A +

/'S ), +

¦§w|‡i-Äzi-‡v‚A>) A3 ° Êi/u

)A + &' )& )A + +

~wuvds2u )A 3

+*' )& 3 +

P“,¯s€y  ) A + )A + '

) + )& )A

+J

A + ° EiT„-rps|oxhuvds2u

& )A +

„-s|ygygw€uT‡i¬s|„d ¦§w|‡Ys|y?‚ A / b°k‹ªy  i-i  ³[sz~~qghi A_v / b ot~Y~q„dµuvds2u

& )A_v

+ / s€y 

& )A + / S ), +

¦§w|‡¯i-Äzi-‡v‚ A / eA 3 J

A_v eˆ°(%iy„/i )A_v

+ ' , - )A 3 +

³SÀdgot„dbhis€y~Žuds2u

 i„/‡visz~ƒi¬~ÇÀdoxrpi )& )A

+J

A + / e S ), +f 4Ű 40q}ueudgot~ot~s„/w|y¨uv‡vs  op„/uopw|yuvwµÖŠš¬œz׺³g~w(udgiŽ„/rts€oph

¦§wzrxrpw2À%~°Scedi-‡vi/¦§w|‡vi|³?uvdgi~w|rpq}uopw|y

& )A +

‡vi-hs€opy~eopy S ), +

¦§wz‡%s€rprKA / b°­±g‡vw|h փš¬œ|×/³gÀ0ik~i-i

uvds2u ) A +) A +

):O e )A +f-

s€y  ³g™?‚  op‡i¬„ºu%opy¨ui-z‡vs€uopw|yʳ

)A +

)O ) n ) + )A n A 3 +

&e )A 3 +fv y.-

Š

Š

L

40‚ÅiÄ2s€rpqs2uvoxygs€u]A

' A 3

+s€y  q~opygce )A3 +fv y3-

P“,³}À­ikzi/u

)A3

+ P eO ) n ) + f Š

Š

P“, L փš’z×

cedi¯„/wzy¨uopy¨qoÁuŠ‚+w€¦ ³Ludgis|~v~qgh{}uopw|y ),

+A'

,g³s|y  udi¯opygi˨qs|rxoxuŠ‚Ã֊š¬’z×oph{grp‚+uds€uYuvdgi(~i/u

1 ' * & / '& )& +.'

eO ) n ) + f Š

Š

-Žot~ygw|yg©¾ih({guŠ‚s€y  „/rpwz~i  ³g~ƒww|yiŽis|~oprx‚Å„dgi¬„²}~ŽÖIs€¨s€opy

™?‚„-w|y¨uopy?qgoxuŠ‚Åw€¦ ×­uds2u

&' C

.

G

"!

&

i-…}op~ƒuv~³2s€y  uvds2u PR,g° w€uviGuvds2u T w¨i¬~yw€u  i-{Li-y  w|yŽuvdgi­„dgwzop„-iÇw|¦

& 3

°S±g‡vw|h Àds€u*{g‡vi„-i  i¬~-³

wzygi„/w|y„/rpq  i~Yuvds2ukudi(wz‡op|opy ot~Tqgy~ƒuvs|™grxi~oxy„/i¯udgiygwz‡h w|¦Çudi~w|rpq}uvoxwzy opy¨Ä2s|‡ots€™grp‚µs2uuvs€opy~

uvdgi~ƒu‡vop„/urp‚Å{w¨~ƒoxuopÄ|ikÄ2s€rpqgi °Gcedgot~„/w|y¨uv‡vs  op„/uv~­udis|~v~ƒqgh{}uvoxwzyuvds2uuvdgiŽw|‡vop|opyot~~Šus€™grpi|°

Ú £}¢54 ‹ªy~ƒuis  w|¦Ys|~v~qgh{}uopw|y ֊š¬œz׺³­w|ygiw€¦ ‚zs|{gqgygw2Ĩ© *­dgi/us€i-Ä ~Žuvdgi-wz‡ih~(‡vi˨qgop‡i¬~uvds2u

uvdgi-‡viÇi-…}op~ƒuSsY„/rts|~v~#" ¦§qy„ºuvoxwzy ~ƒq„duds2u ) + )

&KJ

A + ) ) & +

¦§wz‡s|rxr )

&KJ

A + / e S ), +f 4>"0°

Éw2À­iÄ|i‡³¬qgy  i‡udgis|~v~qgh{}uopw|y~*w€¦Lcedgi-wz‡ih š­udop~ygii  ygw€uS™i­udie„s|~i­~oxy„/i­udgi„/rpwz~i  ©¾rpw?w|{

~‚}~Šuvi-h  i{iy  ~kwzyQudi¯uvoxhi-©¾Ä2s€‡v‚?oxy¦§ii  ™sz„² dz*s€y  udgirts2uƒuvi-‡khsM‚µÄ2s€ygot~ƒd–oxy  i-{Li-y  i-y¨urp‚

w|¦uvdgihs€zygoÁuvq  ikw€¦

&

°GcedgiŽ{‡w?w€¦w€¦S†ˆ‡wz{w¨~ƒoxuopw|yEšŽw|yrx‚Ňvi˨qgop‡vi~­udgiŽi-…}op~ƒuiy„/iŽw|¦s€y+wz{iy

uvoxhi-©¾opy¨ui-‡vÄ2s€rwzyÀdgot„d ) + ) %J A +

ot~eygw|u"Êop{~„doÁuv«ks€uudgiŽwz‡op|opyʰ

(14)

qB\_0\[ Z ¢

ÞÞ %ޑ {*Ú?Þ

¢ Ú [

ܻy

&

©Õ„-w¨wz‡  oxys€ui¬~-³¨udiŽ{i‡ƒuvqg‡™Li  „-rxw¨~ƒi  ©¾rpw?w|{~ƒ‚}~ƒui-h4ds|~0uvdgik¦§w|‡vh

$

& '

"*)

&KJ

A + 9 3 ) J &,+

2 v

9,2) J &,+

2 )

&J A + J

փš-j¨×

Àoxud

"*)

&J A + &

'

3 )

&,+

3 )& +

2 v ) 2 )& + 2 )& +-+

2 )

&KJ A +

 i-ygw|uopygudgiƒqgyg{Li-‡uqg‡v™Li  „/rpwz~i  ©Õrxw?wz{ Ä|i¬„ºuvw|‡T´i-r °m?opy„-i¯uvdgi‡voxzdzu©¾ds€y  hi-h™Li-‡Žw|¦Tփš-j¨×

ot~„/wzyzuvoxy?qgwzq~Ö§™gq}uygw|u(yi„/i¬~~vs€‡voprx‚ Êop{~v„dgoxu«¬×/³ˆudii-…}op~ƒuiy„/iw€¦Y~w|rpq}uvoxwzy~ot~(|qs|‡vs|y¨ui-i  ¦§w|‡

s~q}®Å„/opi-y¨urp‚ ~hs|rxrSygwzy}©Õi-h{}uŠ‚µuvoxhi/©Õopyzuvi-‡vÄ2s€rmeA 3 J

A_v,eÒ° #%ygot˨qgi-yi~v~kw€¦0~w|rpq}uvoxwzy~-³Àdop„dEoxy–udop~

„s|~iÅygii  yw€u¯dw|r ³Got~ygw|u¯‡vi˨qgop‡i  uw–{g‡vw2Ä|iÅopy~ƒuvs€™oxrpoÁuŠ‚ w|¦udgiw|‡voxzoxy°! %rt~w³ˆ™?‚Ãq~oxyg udgi

dw|hw|zi-ygioÁuŠ‚s|~v~ƒqgh{}uvoxwzy~³À0i~i-iŽuvds2uTis|„dQ„-w|h{Lw|ygiyzu "C w|¦ " op~!M )Hxƒ%$

+

¦§w|‡Ys|y?‚ u¬©Õygw|‡vh H°

—Yq‡%s€oph ot~euw{‡w2ÄziYuvds2uÉs  hop~v~ox™grpiŽ{Li-‡uqg‡v™s2uvoxwzy~ 9 3 J LLL

J9

³s|~  i/´yi  opy Ö=0€×/³„-s|y+‡iy  i-‡

uvdgi+w|‡voxzoxy w€¦¯Öƒš-j?×qy~Šus€™grpi|°9cedgot~Àoxrpr™iµsz„-„/wzh{grxot~dgi



™¨‚ ~ƒdgw2Àopyg uds€uµÖƒš-j?×Äzi-‡voÁ´i~¯udgi

sz~~qgh{}uvoxwzy~%w|¦ˆ†G‡wz{w¨~ƒoxuopw|yÚ¦§w|‡Ys|y?‚„dgwzop„-iw€¦ •P;,g°Éc*wudop~Y{gqg‡v{w¨~ƒiz³À0iÀoprxrS„/wzy~ƒu‡vq„ºuYs

¦§qy„ºuvoxwzy d& "(%ˆ‡‰" s€y  s~i/u s|~e‡vi˨qgop‡vi  opyudgiŽ{‡wz{w¨~ƒoxuopw|yʰ+i/u

H )

&,+ ' %

3 v

&

$ Š

J

Àoxud ' %

v u J

փš¬“|×

s|y  i/´yikudgis|q}…}oxrpops|‡‚hs|{g{gopyg5&†"o%N‡‰"o%–™?‚

)

&,+ ' H )

&,+

 Š

)& +

' )H v y ƒ Š )

&,+& v J LLL

J H v y

ƒŒ‹

)

&,+& % + )& '

,

+J

s|y  ) ,

+3'

,g°0‹ÕuÉop~Y~ƒoph{grpiŽuw~dgw2Àuds€u ot~Ésdw|hi-wzh(wz‡{dgop~h4s|y  uds€uÉoxuÉop~Y„/wzyzuvoxy?qgwzq~rx‚

 o[i-‡vi-y¨uots€™rxi(oxy"$%ˆ°±gwz‡Tudgi(¦§w|‡ud„/w|hopyg„-w|h{gq}us2uvoxwzy~-³oxuŽop~k„-w|y?Ä|iygoxiy¨uÉuw+opy¨u‡vw



q„/i¯udgi

„ds€ygzi(w|¦%„/w?w|‡



opys2uvi~

' )& +

°+±w|‡s¦§qy„ºuvoxwzy

"

&(" $% ‡ " Ö§‡vi~{Li„ºuvoxÄzi-rp‚–s+Äzi„ºuvw|‡Ž´i-r



V

&†"

$%

4j"“‡ p"

%

ם|opÄ|iyopy

&

©Õ„-w?w|‡



oxys2ui¬~-³MÀ0i­Àoprpr



i-ygw|ui0oÁu~Si/…}{g‡vi~v~ƒopw|yoxyz©ª„/w?wz‡



opys€ui~s|~

$ " Ö§‡vi~{i¬„ºuvoxÄzi-rp‚

$ V ׺° w|uiÉuds€u­ox¦ " op~ u¬©¾dgwzhw||iygi-wzq~ˆw|¦  i-z‡ii ³¨uvdgi-y

$ " '

" y v op~

dw|hw|zi-ygiw|q~­w€¦*~vs€hi  i-z‡ii ³}™gq}u%Àoxud‡vi~{i¬„ºu0uw(udgi(»º¼ªÎ2½LÐzÎ2¶Ð  oprts2uopw|y€

° Érp~w³?ox¦ " '

= )H +

Ö§‡vi~{i¬„ºuvoxÄzi-rp‚ " ' M )H#

+

×*udgiy

$ " ' = ) % +

ÖI‡i¬~ƒ{Li„/uopÄ|i-rp‚

$ " ' M ) % +

×/°Sm}oxhoprps|‡rp‚|³

ox¦*s¯„/w|y¨uvoxy?qgwzq~GÄzi„ºuvw|‡Ç´i-rV ot~ u©Õdgwzh(wz|iygi-wzq~Gw|¦  i-z‡ii ³zuvdgi-y

$ V op~~

©Õdgw|hwz|i-yi-w|q~

w|¦  i-z‡ii °ˆ‹Õ¦ÊudiYÄzi„ºuvw|‡Ç´i-rV

'

)V v J LLL

J V % + 

op~e„/wzy¨uopy¨qw|q~0s€y  ~s€uot~Š´i¬~ V ' = )H & ƒ$ +

ÖI‡i¬~ƒ{Li„/uopÄ|irx‚ V ' M )H & ƒ$ +

×(¦§w|‡"

' J

LLL

J

sˆ³euvdgi-y!

$ V ' ) $ V v J LLL

J $ V % +

~vs2uvop~ƒ´i~

$ V ' = ) % & v +

Ö§‡vi~{i¬„ºuvoxÄzi-rp‚"

$ V ' M ) % & v +

׺°cedgiÄ|i-‡vox´„-s€uopw|yQw|¦Çudi~isz~~i-‡uopw|y~

‡vi-{‡i¬~ƒiyzu~ygwk{s€‡uot„/qgrts€‡  ox®Å„/qgrxuŠ‚|°S‹ªy¯udgi%~i˨qgirB³|À­iÀoprxrg~oph({rx‚¯À‡oxui ƒdgw|hw|zi-ygiw|q~ opy~Šuvis 

w|¦ ƒdgw|hwz|i-yi-w|q~­Àoxud+‡vi~{i¬„ºueuw‚ °

(15)

Éy¨‚µ~w|rpq}uopw|y w€¦É֊šj¨×/³Àoxud–oxygoxuots€rS„/wzy



oxuopw|y

& )A3 + '

,g³[~vs2uot~ƒ´i~%udgi¦§w|rprxw2Àopyg



o[i-‡vi-y¨uots€r

i¬Ë¨qs2uvoxwzyopy z©ª„/w?wz‡



opys€ui~

$

' ) J A +

& ) y v ) + + 9 3 ) J &,+

2"

v 9 2 ) J & + 2 )

&J

A

+

G

/ 5

փš ;z×

Àoxud

) J A + &'

& ) y v ) +-+

"*) y v )

+J A + L

40‚ uvdgiQs€‡v|qghiyzu~opy udgi+{g‡vi-Ä?opw|q~({s|‡vs||‡s€{gdʳSuvdgiµ„/wzh({Lw|yi-y¨uv~(w€¦ Äzi-‡voÁ¦§‚

' M ) % +

) ' J

LLL

J s + °

m?opy„-ihs€{~

+ uwµoxuv~i-rx¦Š³SÀ­iÅdsMÄ|i <&

' ) y v )2 +J

A3 + '

)2 J A3 +

°/4­‚Es|~v~ƒqh({guopw|yʳ

'

,–s€y  op~(„/wzy¨uopy¨qw|q~°–ced?q~³S™¨‚Ä-w|y¨uopy?qgoÁuŠ‚ w|¦ y v

³GÀ0iÅoxyg¦§i-‡(udgii/…}ot~Šuvi-y„-iw€¦%‡vis|rp~

P ,g³ OVvrP ,g³s|y  w€¦Gs€y+opy¨ui-‡vÄ2s€r &' eA 3 J A 3

f ³LÀoÁuvdˆA

3 - A 3 -

A_vM³L~ƒq„duvds2u%¦§wz‡És€y?‚

) J A + / S )2 + 4‚

I

) y v ) + J A + I '

* . ) + ) y v )

+J A +

P:OVvL փš0€×

w2À޳}{got„²s€y?‚Åopy¨ui-zi-‡‚PR,~ƒq„duvds2u

?

•P X

tu

P“,(s|y



„dgw?wz~i P“,~q„duds€u¦§w|‡%s€y?‚

/ " %

³Àoxud

' ³wzygids|~

n 2 U

Àdi-ygiÄ|i-‡

n 2

$

U Ö§udgot~„s€y s€rpÀ0sM‚}~T™i

sz„dgopi-Ä|i  ~oxy„/iTudgi

?

z©¾ygwz‡h % $s|y  udgi؈q„/rpo i¬s€y

?

©Õygwz‡h % s|‡iki˨qgopÄ2s€rpi-y¨u×/° Éi-´ygi

)

+*'

?

$

$

n %

v #

$

J

փš•z×

s|y  &' * / "

$%

&

P:,

J

$

$

P %

v #

$

-+L

‹Õu%ot~eisz~ƒ‚Åuw„dgi„²Åuds€u

ot~s€yw|{Li-yµ~i/uÉs|y  uvds2u%oxuv~%™wzqgy  s|‡‚ot~|opÄ|iy™?‚

' * / " $% & P“,

J

$

$

' %

v #

$

-"!ˆ*,.- L

ØGĨo iyzuvrx‚z³ op~Ž~ƒu‡vop„/urp‚µ{w¨~ƒoxuopÄ|i¯oxy

³Àdgi‡i¬s|~YoÁuŽÄ2s€yop~dgi~Topy

°‹Õuއvi-hs€opy~Éuw{g‡vw2Ä|iuvds2u

uvdgis|~v~qgh{}uopw|y ֊šMœ|×­w€¦S†ˆ‡wz{w¨~ƒoxuopw|yEškop~És€rt~ƒw(Ä|i‡ox´i  °

‹ªyÅÄ?opi-À w|¦udgiT„dgw|ot„/iYw€¦ [³zuvdgiToxygi¬Ë¨qs€rpoÁuŠ‚(opy ֊š0€×ˆdw|r ~G¦§wz‡ A / s€y  ¯opyÅuvdgiÉopy¨ui-‡~i„ºuvoxwzy

w|¦

Àoxud uvdgi d?‚?{i‡ƒ©Õ{grts€ygi  i/uvi-‡vh(opygi  ™?‚ ' ° ±gqg‡udi-‡vh(wz‡iz³0udgiEhs€{g{gopyg ) J A + ‡

) y v )

+J A +

ot~edgwzh(wz|iygi-wzq~0w€¦  i-z‡ii

n X ¨³~w

) J A + /

4 & I ) y v ) + J A + I

P“, L փš›z×

(16)

Yi-yw€ui(™?‚6udgi(Ä|i¬„ºuwz‡É´i-r



wzyµudgi‡voxzd¨uƒ©Õds€y



h(ih™Li-‡kw€¦T֊š ;¨×º°J40‚



op‡i¬„ºu

 o[i-‡vi-y¨uvops€uopw|yʳ

s|y



q~ƒopygµÖ0|×es€y



֊š¬›z×/³gÀ­iŽ~i-iTuds2u¦§w|‡iÄ|i‡‚

) J A + /

) + ) J A

+*'

) + ) J A +

& ) y v ) ++ I ) y v ) + J A + I2 L

cedi ) J5 +

©¾ud+i-y¨uv‡‚Åw|¦*uvdgiއvi˨qgop‡i  s|„/wz™gots€yhs€u‡voÁ… )

&,+

)

&,+

ot~e|opÄ|i-y™?‚|

& 4 ) y v ) ++.' H v y

ƒ%$

)

&,+

n u

u4 H y $

)

&,+& &

) y v

4 X 4 G

/ 5 J

Ö¾œ€”z×

Àdi-‡vi X 4 ' ox¦

' 5 s€y

 X 4 '

,ox¦d

' 5 °

)

+ ) J A +

„-s|ys|rp~w™iŽÀ‡voÁuuiysz~

) + ) J A

+*'

v ) J A + $ ) J A

+J

Àoxud

v ) J A + &' %

3 v

) + -) J A + J

0$ ) J A + &' I ) y v ) + JA + Ie ) +

) +fJ

s|y  ) + &'

) + %

& ) y v ) +-+

'

$

$ y v

H v y

ƒ

)& + n u

u & Š

H )& +

$

G

/ 5 J

Ö¾œ}š¬×

) + &' %

3 v #

) + %

& ) y v ) ++

' n %

v #

$ y v

H v y

ƒ%$

)

&,+

n u

u & Š

H )

&,+

$

&

&

G

/ 5 L Ö¾œ|œ|×

w€uviuds€u ) ' J

LLL

Js +

op~dgw|hw|zi-ygiw|q~w€¦  i|‡vi-i

? n ³ud?q~ v ' M ) %

$

+ °

±qg‡udgi‡hw|‡vi|³}~oxy„/i

I n u I

u -

s€y  & Š

H )& + G

/ 5 U )

' , + J

(17)

uvdgiuvi-‡vh ÀoxudoxyQ™‡vsz„²|i/u~opybÖBœ}šM׺³[s€y



di-y„-i ) +

³s|‡i~ƒu‡vop„/urp‚{Lwz~oxuopÄ|i|°Y—Yy+uvdgiw|udgi‡Éds|y

 ³

¦§wz‡

' J LLL

J

sˆ³gÀ­ikdsMÄziju

) ³g~w n u ' n Iu n I

°ˆcedgi-‡vi/¦§wz‡iz³}Àdgi-yi-Ä|i‡

'

,

)

+.'

%

v #

~|y ) +

~ƒzy )& +

~ƒzy )& + I I

$

y v H v y ƒ $ )

&,+

Iu n I

u & Š

H )& +

$

&

& G

/ 5 L

40q}u b{g‡vi~i-‡vÄ|i¬~SudgiT~ƒop|yń-w|h{Lw|ygiyzu©¾Àot~i|³|o¾°i|°~|y ) + '

~|y ) )

&,+ +.'

~ƒzy )& +

³¨uvd¨q~ ) + )

,°*±‡wzh փš›z×/³¬s|y  ~oxy„/i ) +

PR,%s|y  ) +

P“,³À0iDŽ/wzy„/rpq  iÇuds€u 0$ ) J A +

P“,e¦§w|‡*i-Äzi-‡v‚ ) J A + / 4 ° 4­‚oxy~{Li„ºuvoxwzyw|¦0Ö¾œ}š¬×­s€y  Ö¾œ|œ|×/³}À­iY¦§qg‡udgi‡  i  q„/iTuds2u ¯s|y  s|‡iTdgwzh(wz|iygi-wzq~Çw|¦

 i-|‡vi-i

? n u °ˆ‹ªyµ„/wzy~i˨qgi-y„/i|³ $

ot~dgwzhw||iygi-wzq~­w€¦  i-z‡ii

&

'&?

n X n u

PR,.L

i/u

% y v &' * /

"(%“&

' -¯s|y

 &' ! ° #Y~ƒopygÅuvdgi(dgw|hw|zi-ygioÁuŠ‚w€¦"0$€³L¦§w|‡ks€y?‚

) J A + /

4

$ ) J A +

' I ) y v ) + JA + Ie ) +

) +fJ

Àoxud &' / % y v

°(—Yygii¬s|~oxrp‚µÄ|i‡ox´i¬~%uvds2u ) % y v + S :)2 +

³Ê~wEփš0€×%dgw|r ~

s|y

 I ) y v ) + J A + I

)<O v ° %rt~ƒw³ s|y



s|‡i„/wzy¨uopy¨qw|q~ksMÀesM‚¦§‡vw|h udgiwz‡op|opyʳdgiy„/i(udi-‚

s€uƒus€opy uvdgi-op‡kh(opygophs+w|yQuvdgiń/wzh{s|„/uk~i/u

% y v

°cedgi~i(h(opygophss|‡i~ƒu‡vop„/urp‚Q{w¨~ƒoxuopÄ|iz³s|~

¦§wzrxrpw2À%~e¦§‡vw|h udgidgw|hw|zi-ygioÁuŠ‚w€¦ s€y  s€y  ¦§‡vw|h4udgi¦Is|„/u%uds€uəLw€udQ¦§qgy„ºuvoxwzy~És|‡i~ƒu‡vot„ºurp‚

{Lwz~oxuopÄ|ikoxy

°­—Yyik„s€yud?q~  i/´ygi

O $ &' O

v

E#C

.

"

‹ +Š * ) + ) + -

uvw„/w|y„/rpq  iTuds€u¦§w|‡iÄ|i-‡v‚ ) J A + / 4

k$ ) J A +

)“O$!P“,

J

Ö¾œ€’z×

s|y 

)

+ ) J A + '

$ y v

) J A +

$

0$

) J A +

)

$ y v ) J A +

$

O$

L Ö¾œ2j¨×

‹ªy s  oÁuvoxwzy uvw+™ioxygˆM ) %

$

+ ³ v¯ot~Tudgi~qgh w|¦­dgwzhw||iygi-wzq~ɦ§qgy„ºuvoxwzy~kw€¦  i-z‡ii

?

Qs€y 

doxzdgi-‡0w|‡  i-‡­ui‡h~kÖÈuvdgot~0„s€y™ik~ƒii-y¦§‡wzh oÁu~  i/´ygoxuopw|y+s€y  ¦§‡vw|h udgiT¦Isz„ºu0uds€u ot~­udgiŽ~qgh

w|¦sdw|hw|zi-ygiw|q~ÇÄ|i„/uwz‡G´ir w€¦  i|‡vi-ir,s€y  dgop|dgi‡­wz‡  i-‡ÇÄzi„/uw|‡Ç´i-r ~×º°ˆ‹Õu0¦§w|rprxw2À%~Çuds2u³?™?‚

Ä?op‡ƒuvqgikw€¦

? n P“,g³}uvdgikui‡h

) J A + &'

$ y I v ) J A + I

$

Ö¾œ|“|×

(18)

uvi-y



~ˆuw¯«-i‡wsz~ 

w?i~³|qgygox¦§w|‡vhrx‚(¦§wz‡cASoxy ۈcedgi-yʳzudi-‡vi%i/…}ot~Šu b P“,s€y

 O : />f

, J

O$,e|~ƒq„d

uvds2u

) J A + / e S 9), +f 4 & ) J A + - O : s€y  ) "

+ ) J A + P:, L

w2À޳?{gop„² ) J A + / e S ), +f 4 s€‡v™goxu‡s€‡voxrp‚|°$#É~oxyuvdgiYopygi¬Ëzqs€rpoÁuvoxi¬~" ) +

PR,s|y 

$

)

$

³zs|y



s€rt~ƒwTudi



i/´ygoÁuvoxwzyQ֊š¬•z×w€¦ Y³|À0i|i/u

) )?

$

+ Š

e ) +f Š

P:,Žs€y



³z~oxy„/i

P“,g³

) ?

$

e ) +f

P“, L

cedop~rts|~ƒu*opygi˨qs|rxoxuŠ‚|³€„-w|h™oxygi  Àoxud+ÖBœ€j¨×º³2Àdwz~iLJvoxzdzu©¾ds€y  hih™Li-‡Sop~S~ƒu‡vop„/urp‚k{w¨~ƒoxuopÄ|iz³2‚¨opi-r ~

) + ) J A + ) ?

$

$ y

v ) J A +

$

6O $ e ) +f

L

m}i/uƒuvoxy

OQ&

' ?

$

)O $ n O : + P:,

J

À0iT´ys|rxrp‚Åw|™guvs€opy

) J A + / e S ), +f 4 & ) + ) J A +

):O e ) +f

L

‹ªy+wz‡  i‡0uw‡i-uqg‡vyuw

&

©ª„/w?wz‡  opys€ui~³?rxi-u

)& + &' ) )

&,+ +J

s€y  &' y v )

+J

s|y  rxi-u "  i-ygw|uikudiŽÄ|i„/uwz‡e´i-r oxy+uvdgiއop|d¨u©¾ds|y  h(ih™Li-‡%w|¦eփš-j?׺°G‹Õu%ot~%~ƒu‡s€op|d¨uƒ¦§wz‡Àes€‡  uw

„di„²uds2uudiއi¬s€ry?qgh™Li-‡

V&

' E C.

"

# y v ) +

i-…}op~ƒuv~³zs|y  uds€u ) + )

&KJ A +

)“O e )& +f

¦§wz‡Çi-Äzi-‡v‚ )

&J

A + / e ! S ), +f 4 °ˆm}oxy„-i ) &'

$

/

f, J

e¨³}uvdgis|~v~qgh{}uopw|y ֊šMœ|×­w€¦S†ˆ‡wz{w¨~ƒoxuopw|yEškop~ud?q~eÄ|i‡ox´i  s|y  uvdgiŽ{g‡vw?w€¦*ot~%„-w|h{grpi/uiz°

qB\_0\_ Z ¢ ÞÞ %ޑ {*Ú?Þ ¢ Ú _

i/u

$

& '

2 v 2 )& +

2

Ö¾œ:;z×

(19)

™LiYs|y?‚ u¬©Õdgw|hw|zi-ygiw|q~Çs€{g{g‡vwM…}oxhs€uopw|yw€¦~‚}~Šuvi-h ÖI›z×GÀoÁuvd„-w¨wz‡



oxys€ui%„ds|yg|i

&<' ) +

°. Érp~w³

„-w|y~o



i-‡Gs|y¨‚(„/wzyzuvoxy?qgwzq~Sdgwzh(wz|iygi-wzq~ H|©Õi/…}{Lw|ygiy¨uots€rg~ƒuvs€™oxrpox«i-‡ Q¦§w|‡ÉÖB›z×hi-i-uopygŽuvdgi‡i¬Ë¨qgox‡vi/©

hiyzu~Çw|¦ Éi-´ygoxuopw|y’g°ˆ±g‡vw|h udgiT{g‡vi-Ä?opw|q~



i/´yoÁuvoxwzy~-³¨uvdgiÉÄzi„ºuvw|‡Ç´i-r

 ~ 2

s€‡vi>u¬©Õdgw|hw|zi-ygiw|q~

w|¦  i-z‡iicX 2 -

,g³Àdgi‡i¬s|~uvdgiQ¦§ii  ™s|„² ¦§qgy„ºuvoxwzy~ 2 s|‡iˆu¬©Õdgw|hwz|i-yi-w|q~w€¦  i|‡vi-i n X 2

) ' J

LLL

J !+

° i/u &' * v v J LLL

J

-s€y * &' * v J LLL

J

-  i-ygw|ui¯udgi~ƒi-uv~

w|¦ˆÄ|i„/uwz‡´i-r ~¯Ö§i/…}{g‡vi~v~i  opy

&

©ª„/w?w|‡  opys2uvi~×0Àdgot„d  i/´yiudiygw|hopys€r~ƒ‚}~ƒuih6s|y  dgwzh(wz|i-©

yi-w|q~Žs€{g{g‡vwM…}oxhs€uopw|y ÖBœ:;¨×º³*‡i¬~ƒ{Li„/uopÄ|i-rp‚|°Êi/u 0KC32:) )x*

- +

™iÅudgi oxiÅs|rxzi-™g‡s~ƒ{s|ygygi 

™?‚udgi¯i-rpi-hi-y¨u~Éw|¦ s2¦Èui‡Y‡vi-hw2Ä?opygudgi }©¾udQÄzi„/uw|‡%´i-r

h ?³[s€y Q i/´ygi 0KC32 )! )+*

†-

+

sz„-„-w|‡  oxy|rp‚|°.CToxÄzi-y+s(~i/u w|¦*Ä|i¬„ºuvw|‡e´ir ~³}À0iTrpi/u ), + &'

*!+ ,/.

* V ), + & V‰/ V-z°

cedgi¦§w|rprxw2Àopyguvi„dgygot„-s|rrpi-hhs~ƒuvs€ui~%uds€uYox¦ˆudgi Їs€yg²¨©Õrxw¨~~ {‡wz{i‡ƒuŠ‚E֊š”¨×edgwzr ~ɦ§w|‡Éudgi

yw|hoxys€rÊ~‚?~ƒuih+³?udgiy+s~oph(oprts€‡e{g‡vw|{Li-‡uŠ‚Ådgw|r ~0¦§wz‡eudgis|{g{g‡vwM…?ophs2uvoxwzy ÖBœ ;z׺°

­Ú £ [ r*½[Ð|¿-¶Ž¼IÍ}¿¯Î2»v»º¹}Ój¼¾ÏI·2½»·ƒÑ ÊÍ?¿·2¶¿-Ó 0·€½L¿Í?Î2»

/ * J

LLL

J

- & WCFE0C21) )x*

- + ), + - s n L Ö¾œ10€×

֎ 0¶·¬·ŠÑŽÏȽ–¼IÍ}¿r~†g¿/½[Ð2ÏM׺°

Ei„/rts€oph uds€uYuvdgiÀ­ioxzdzu~pu

s€‡viygw|uŽs|rxri˨qs|rB³Ê~w ' ) ?

°cw{g‡vw2Ä|iuvdgot~-³Ê~qg{g{Lwz~iuvds2u

u ' ) J LLL

J +

°‹ÕuǦ§w|rprxw2À%~S¦§‡vw|h†Ç“Tuvds2u

v J LLL

J

s€‡vi%„/w|y~Šus€y¨uÇ~ƒwkuvds2ues€y?‚™‡vsz„²|i/uˆopy?Ä|w|rpÄ?oxy

wzygi(w|‡khw|‡vi¯w|¦Çudi~i(Äzi„/uw|‡T´ir ~kop~ko i-y¨uvop„s€rprx‚µ«i-‡vw°G40q}ukuvdgis€{g{g‡vwM…}oxhs€uopw|yÂÖ¾œ:;z×T~vs2uvop~ƒ´i~

uvdgi Ɍ*Y³[~ƒwuvdgi¦Is|hoxrp‚ ) v ), + J LLL

J

), + +

~ƒ{s€y~j"(%Âs€y  ) sˆ°Ycedgi-‡vi/¦§wz‡iz³ox¦GÀ­i¯‡ih(w2Äzi

s|y?‚

2 ³uvdgiÅs|„„/i~v~ox™goprpoÁuŠ‚  ot~ƒu‡vox™gqguopw|yEw€¦ÇuvdgiÅs€{{g‡wM…}ophs2uopw|y rxw¨~ƒi¬~Ts€uŽh(w¨~ŠuŽwzygi  oxhiy~ƒopw|y s2u

uvdgiŽw|‡vop|opyʰ*‹ªy+w|udgi‡À­wz‡  ~ WCFE0KC32 ) )+*

2 - + ), + )“s

n

³}Àdgot„dµ„/wzyzuv‡vs  ot„ºuv~kÖ¾œ10€×/°

w2À rxi-u

D

™LiYudgiru¬©¾{s|‡ƒuvoÁuvoxwzyw|¦udgik„/w?w|‡  opys2uvi%Ä|i¬„ºuvw|‡

&

°+#É~oxy¯{g‡vw|{Li-‡uopi~­†G’(s€y  †3;g³?À­i

„s€yÀ‡oxuiTuvdgis€{g{‡wM…}ophs€uopw|yEÖBœ:;¨×­oxyudik¦§w|‡vh

D v ' v

D $ ' $ )D v

+

°°°

D + ' + )D v J

LLL

J8D

+ y v +

Àoxud v ‡vi-{g‡vi~i-y¨uvoxyg s „-w|y~ƒuvs|yzuµhs2uv‡ox…³ $ J LLL

J +

hs€u‡voÁ…?©ÕÄ2s€rpqgi



¦§qgy„/uopw|y~³s€y

 '

) v J

LLL

J

udi„/w|y¨uv‡wzrLÄzi„/uw|‡¬°

Ei~ƒds|rxrSygw2À{g‡w2Äziuvds2u + ),

+B'

,™?‚Q„/w|y¨uv‡vs



op„/uopw|yʰm}qg{g{Lwz~i¯uvds2u + ), + '

,°cedgiy

uvdgi-‡vii/…}ot~Šu~s2urpisz~ŠuwzygiÄ|i¬„ºuvw|‡k´ir 4 /& ~q„dEuds€u 4#

+ ) , +

ot~ygwzyg«-i‡wÃÖI‡i¬„-s€rprSuds2u 4

 i-ygw|ui~­uvdgi!u©Õ{s|‡ƒuvoÁuvoxwzyw|¦

4 ׺°Gcedik„-w|h{Lw|ygiyzu~0w€¦ 4!#

+

s|‡iYud?q~~u¬©Õdgw|hwz|i-yi-w|q~Çw|¦  i|‡vi-ij,

s|y  4 ot~ u¬©Õdgw|hw|zi-ygiw|q~w|¦  i|‡vi-i X 4 ' n u % ' n

u,+°±‡wzh †G’kÀ0ieoxy}¦§i‡ˆuds2u 4!#v J LLL

J 4!#

+ y v

s|‡i(o i-y¨uot„-s|rxrp‚ «i-‡vw³~w

4 ot~s+„/wzy~ƒuvs€y¨uŽÄ|i¬„ºuvw|‡T´i-r °m?opy„-ii-Ä|i‡‚ Ä|i„/uwz‡Y´i-r opy 0KC32 )!

+

op~

u¬©Õdgw|hwz|i-yi-w|q~Éw|¦­ygizs2uvoxÄzi  i-|‡vi-iz³oÁuަ§wzrxrpw2À%~Y¦§‡wzh †Çœs€y  †ˆjuds2us€y?‚Q™g‡s|„²zi/uk„/w|y¨us€opygoxy

4 ot~«i-‡vw°<Éi-y„-i|³‡ihw2Ĩopyg

4 s€hwzqgy¨uv~kuvwµ‡ih(w2Ä?opyg+w|ygrp‚Ew|ygiÄzi„ºuvw|‡k¦§‡vw|h 0KC32 )!

+ ), +

³ˆ~w

.CE0KC32 )! )+*

4 - + ), + ) s n

³}opyµ„/w|y¨uv‡vs  op„/uopw|yÀoÁuvd Ö¾œ10|׺°

±opys€rprx‚z³À0iÅ~ƒdw2À uds2uŽudiygw|hopys€rG~‚}~Šuvi-h Äzi-‡voÁ´i~TudiÅs|~v~ƒqgh{}uvoxwzy~kw€¦ecedgi-wz‡ih š|°±gw|‡

uvdgot~%oxuÉ~ƒq}®Å„-i~uvw{g‡vw2Ä|iTuds€u%udik¦§i-i  ™s|„² bot~É~q„duds€u%¦§w|‡É~w|hi / * J LLL

J!

-s|y  ~ƒwzhi

Références

Documents relatifs

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330