• Aucun résultat trouvé

Multifractional Brownian Motion : Definition and Preliminary Results

N/A
N/A
Protected

Academic year: 2023

Partager "Multifractional Brownian Motion : Definition and Preliminary Results"

Copied!
43
0
0

Texte intégral

(1)

ISSN 0249-6399

a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Multifractional Brownian motion:

definition and preliminary results

Romain Franc¸ois PELTIER, Jacques LEVY VEHEL

N˚ 2645

Aoˆut 1995

PROGRAMME 5

(2)

"#%$ &'() "(* # ++,- #/. & .

021354687:9);<4=7?>

@

1A68B2C!D!EGFHID!0KJ)L4

@NMPOQ

BEDSR2TRUDWVXD!E

YZ\[^]^Z_a``bc!dfegZh_jilkmbn`bnopkrqsXt\iu]vo_jw&xA_askm[v`2_jk\iuyNsbSbIk{zZm[NqAs|Ik\i}y~sb

YZ\[v'bIk€Zh_j|Ik_aw}bnt

_azz[^Z+kqb?Zmbn|‚bnZm|‚boWƒ„a…a†~c‡d‰ˆ[PŠsk!‹<Œ^Œ^c!df^ŒWz=_a]vbnt

ŽI‘“’<”•a‘^–˜—

b™]vbnoAbnZ_aw}iušIb›k\‚b›qAbIœAoi}k\i}[^o[vžŸkm‚b›ž Zh_a|hkmi}[^o=_aw¡ŸZm[<¢{oi£_ao¤`[vk\i}[^o¤[vž¥bI¦z[voAbnopk¨§

k\[Wk\‚Ab{|<_atmb¢{‚bnZmb?§-i}tŸo[¨w}[^o]vbnZ˜_S|n[^ot\k_aopk“x©sk{_?ž so|Ikmi}[^oª[vž/k\‚b{k\i}`ªb˜i}oqAbI¦«[až/km‚bzZm[N|nbntmt<¬

e¥‚Ai}t!_jwuw}[<¢{t?sAtSk\[X`[NqAbnwo[^ot\k_jk\i}[^o=_aZ+­¤|n[^opk\iuoNsA[vstWzZm[N|nbntmt\bnt<xP_joAq¤¢rb›t\‚A[“¢®k\‚_<k¨§¯±°m²?_aoq

„r³§¯8°\²¥_jZmbiuoqbnbnqªZmbntmzbn|Ik\il´pbnwl­™k\‚bSw}[~|<_jwgµW¶[^w}qbnZ¥bh¦z[^obnopk_aoq2k\‚b?w}[N|<_aw%©%[“¦2_aoqUµ_jsAt\qA[vZ\·

qiu`bnotmi}[^o™_<kŸz%[viuopk°h¬)€Gi}o=_aw}wl­px^¢rb{zZm[^z[vtmb_‡tmi}`›sw _<kmi}[^o›`bIk\‚[~q_aoq2_aobnt+kmi}`2_jk\i}[^o›zZm[~|nbIqAsZmb

ž [vZ?§¯±°m²ž [vZ[^sZ˜`[~qbnw¬

¸º¹~»¼\½!¾ ’v¿Ga– ž£Zh_a|Ik\i}[^o=_aw)¡ŸZ\[<¢{oAi£_aoº`[vk\i}[^o/xAž£Zh_a|hkh_jw&x/µW¶[^w}qbnZbI¦z[voAbnopk“xPµ_astmq[^Z+·Àqi}`bnoAt\iu[vogx

Á

_astmt\i _joXzZm[~|Ibntmt<x|n[voNk\i}o~s[^st˜zZm[~|nbItmt<¬

 ÃWÄ

Å+Æ&Ç<È

Ä

Å{ÉgÊ}Æ&Ë&ÌnÍ

ÎgÏhÐ{ÑhÒÔÓ{ÕaÖ±ÑIÓA×

Ø

ÏIÒÔÙ/ÚÛ+ÜÝÒÔÛ+ÖpÞ<ßPÓjÒànÛ+Ö8ÙÒݓáÛGâjÛÚpãGÎPä8奿ä=çä èGÎgä±ãWÞjÛç£Ð˜ÑIÒÔÜ\Þjé^Û+ÜÝÒÔÛ+Ö&êPëvÏIÖ8ÑjìÒÔÓjÖ8ÒÔÑjìílÖ

îhÑ

Ø+ï<ð

Û\Ù%ñáÛà“ò{æSáÛ\ó<Û\ÜmÞaÛçuИÑIÒÔÜ\ÞIô£ÜàaêGëvÏIÖ±ÑaìÒÔÓjÖ±ÒõÑjìílÖ

(3)

5A &' h

"#%$ & # 5 #/. &P . * # ++ #/.

¹  ¹ – [^st›]bnobnZh_jwui}tm[voAt¨w£_ºqbIœAoi}k\i}[^o qs `[vs´^bn`bnoNk¨¡Zm[<¢{oiubnoÀž Zh_j|Ik\iu[voAo=_ai}Zmbªqb2z=_

Zh_j`bIkmZ\b2§ _as |<_jt™[s§ obnt\k›zw}st™soAb2|n[^ot\k_aopkmbº`2_jiut!soAbXž [voA|Ik\i}[^o qbXwi}oAqbI¦ qb2k\bn`zt

qsÀzAZ\[~|nbnt\tmst<¬Ÿbnw£_ªo[^stWzbnZ\`bIk‡qb™`[Nqbnwui}tmbnZqbnt!zAZ\[~|nbnt\tmst‡|n[^opkmi}oNsAt!o[^o t\k_jk\i}[^oo_ji}Zmbnt<x%bIk

o[^st¥`[voNk\Zm[voAtyNsb?§¯±°m²)bIk˜„Ÿ³º§¯±°\²tm[^opkŸbnobI·%bIkrZ\bntmzbn|Ik\il´pbn`bnopkŸwbI¦~z%[vth_aopkŸqb?µW¶[^w}qbnZ¥bIk¥w}bnt

qiu`bnotmi}[^otŸqAb!©[aŠlk\bnt{bhkqõµ_ast\qA[vZ\·¤w}[~|“_aw}bnt_jsUz[viuopk˜°I¬oœ=o/xo[^stzZm[vz[^tm[voAt˜sob‡`bIkm‚[NqAb

qb‡tmi}`«sw£_jk\i}[^obIk{sAob‡zZm[N|bnqsAZ\bSqbnt\k\iu`2_<kmi}[^oªqb!§¯±°\²rz[^sZ˜o[vk\Zmb‡`[Nqbnw}b^¬

¾ ‘j ¼ • ¹ – `[vs´^bn`bnoNkª¡ŸZm[“¢oi}bnož Zh_j|Ikmi}[^oo=_ai}Zmb^xž Z_a|Ik_aw}b^xŸbI¦~z%[vth_joNk2qÔµW¶[^w}qbnZ<xqi}`bnoAt\iu[vo

qõµ_jsAt\qA[vZ\·xzZm[N|nbntmt\sAt Á _jsAt\tmi}bnogx~zZm[~|Ibntmtmst˜|n[^opkmi}oNsg¬

(4)

‹^¬$#"%'&(*)+,-*&/.0)1%

e¥‚AbSž£Zh_a|Ik\i}[^o=_awG¡ŸZm[“¢oi£_aoX`[vk\i}[^o¯±ž8¡`º²Ÿ[ažiuoqbI¦º§ ¯3254 §64 ‹<²¥¢˜_at˜qbIœ=obnqK©p­87K_aoqbnw

©Zm[vk_joq89Ÿ_ao

bntmtS¯m‹“Œ^…;:p²r_atrk\‚Ab!t\k\[N|h‚=_jt\k\iu|?iuopk\bn]^Zh_jwxž [^Z{°<=2

>@?‡¯±°m²A

‹

B¯'§DC ‹FE^„^² GHJI

K'L8M

¯8°³JNj²

?

K'OQPQR

³ ¯\³SNj²

?

K'OQPQRTVUXW

¯YNj²'C H[Z

I

¯8°³JNj²

?

K/O\PQRU]W

¯^Nj²_a`

— ‚bnZmb

W

qAbno[akmbntS_ — i}bnoAbnZ˜zZm[N|nbntmt˜qbIœ=obnqU[^o¯\³Sb=cdb ²¬

e¥‚AbI­ t\‚A[“¢rbnq km‚=_jk›k\‚iut¨zZ\[~|nbnt\t«‚=_at›t\bnw}ž8tmi}`iuw£_jZW_aoq t\k_jk\i}[^o=_aZ+­ iuo|nZmbn`bnopk\t›_joAq |n[voNk\i}o~s[^st

th_j`zAw}bz=_jk\‚At¢{i}k\‚¨zZm[v©_j©Ai}w}i}k&­![^ob^¬fe&k`2_n­S©brtm‚[<¢{o2¯t\bnbrb^¬]A¬g7U_aoqAbnw}©Zm[akih;¯\‹<Œv…g:^²Gz/¬a†~„vc^²

k\‚_<k{¢{ilk\‚XzAZ\[^©=_a©i}wuilk'­ª[vob^xi}k\t˜]^Zh_jz‚U‚=_atµ_astmq[vZ\·_joAqX©[“¦Xqiu`bnot\iu[vo2bnyNs_jwk\[2„³À§À¬

eok\‚i}t‡z_jzbnZ<x¢rb›qbIœAoAb›km‚b8jlkmVn\hpodV3qsr'h;tu\qsvwr*hsrJj5qsqsrÀ¯`2¡`X²¥¢{‚Ai}|‚¤]^bnobnZh_jwui}šnbnt

k\‚Ab¨ž8¡Ÿ`-¢{ilk\‚¤°x

M

2Xcdb ²˜©p­Kt\sA©t\k\ilk\sk\i}oA]k\[ªk\‚b«z=_jZh_a`bIk\bnZ?§_2µW¶[vwuqbnZž so|Ik\iu[vo §¯±°\²hxtms|‚

k\‚_<k2 45§¯±°m²u4:‹v¬

— bª©bnwui}bI´^b«k\‚_<k¨k\‚Ai}t!oAbh¢ zZm[N|nbntmt!q[~bnt¨zZm[“´i}qbª_ºstmbIž£sAwŸ`[~qbnwž [^Z«_2‚[^t+k¨[až|n[voNk\i}o~s[^st

_aoq¤o[^o¤t\k_jk\i}[^o=_aZ+­Ko=_jk\sZh_jwt\iu]vo_jwut“¬ye&k?i}t¢¥bnw}w1z~o[<¢{oKk\‚_<kSž±¡Ÿ` t_aZmb¨t\bnwlžtmi}`i}w _jZrzZm[N|nbntmtmbnt

O x

_aw}w}[<¢{iuo]ªk\[X|n[voN´^bnoAi}bnopk\w}­qbntm|nZ\iu©b›i}ZmZmbn]vsAw£_aZt\iu]vo_jwut¢{‚Ai}|‚ _jZmi}tmb¨i}o¤`2_aop­Kt\i}k\s=_jk\i}[^ot«¯t\bnb™b^¬]A¬

7K_joAqbnw}©AZ\[vk{d5h;¥¯\‹<Œv…g:p²+²¬rµ{[<¢rbI´^bnZ<xkm‚bºz[^i}oNk&¢i}tmbºi}ZmZmbI]^sw _jZmilk'­ [až‡_aož8¡Ÿ`iut™k\‚bUt_a`bU_jwuw

_aw}[^o]¨ilk\trz_<k\‚g¬=e¥‚iutŸw£_at\k¥zZm[^zbnZ+k'­™iutrt\[^`bIk\i}`ªbIt)soAqbntmi}Zh_j©wub^xNtmi}o|nbSilk¥Zmbnt\k\Zmi}|Ik\tŸk\‚b?œAbnw}q2[až_jz

zwui}|<_jk\i}[^o/¬A€[^Zi}ot\k_ao|nb^xž8¡Ÿ` ‚=_n´^bSž ZmbnyNsbnoNk\wl­X©bnbnoºstmbnq2ž [vZt\­~oNk\‚bntmi}šni}oA]™_aZ+k\i}œA|ni£_aw%`ª[vsoNk_ai}ot

¯8tmbnbb^¬]A¬9[vtmt¨‡¬Ô€Ÿ¬¯\‹<Œg:^c^²+²¬|NsA|‚ _X`[Nqbnwui}o]U_at\tms`bntSkm‚=_<kWk\‚biuZ\Zmbn]^sw£_aZmilk&­¤[vž{_º`[^soNk_jiuo

i}tbI´pbnZ+­~¢{‚bnZmb‡km‚b!th_a`b^¬Xe'k‡_azzb<_aZ\tkm‚=_<kiuoUZmb<_jwuilk'­ªk\‚Ai}tS_at\tms`zk\i}[^oXi}t{k\[N[ªt+k\Zm[^o]©bn|<_astmb!i}o

z=_aZ\k\i}|nsAw£_jZ<x%[^ob›qA[Nbnt!oA[akSk_szvb™i}oNk\[K_a|n|n[vsAopk!bnZm[vtmi}[^ozA‚bno[^`bno=_¬Ÿ[^otmbnyNsbnoNk\wl­px/ilk‡tm‚[vsAw}q©b

|n[^op´pbnoi}bnoNkWkm[UZmbnw£_j¦¤k\‚Ab|n[voAt+k\Zh_ai}oNkW[vžrt\k_jk\iu[vo=_aZmilk'­ _aoqÀ©bi}oAt+kmb<_jq _j©wub™k\[K|n[voNk\Zm[vw)km‚bw}[~|<_jw

i}ZmZmbn]vsAw£_aZ\i}k&­p¬aer‚br`[NqAbnw~zAZ\[^z[^t\bnq«i}oWk\‚iut¢r[vZQz!tmbnbn`tPk\[‡©b¥k\‚b{t\iu`zw}bnt\kP]^bnobnZh_jwui}š<_jk\i}[^o¨[ažž8¡Ÿ`

k\‚_<k{ž£sAwlœAwuw}trk\‚Ai}t˜ZmbnyNsAi}Zmbn`bnopk“¬

e¥‚Ab?Zmbn`2_jiuoqbnZ¥[ažG[vsAZ˜z=_azbnZ˜i}tr[^Zm]p_aoi}šnbnqU_atrž [vwuw}[<¢{t<¬pe'o{|Nbn|Ik\i}[^oK„~x¢¥bSqbIœAob?k\‚b‡zAZ\[~|nbnt\t{_at_

t\k\[~|‚=_at+k\iu|›i}oNk\bn]^Z_aw)_aoq¢¥b›tm‚[<¢ k\‚_<k!ilkSi}t?|n[^opkmi}o~s[vsAtS¢{ilkm‚¤zZm[v©=_a©iuw}ilk'­U[^ob^¬

—

b›km‚bnozAZ\[<´pb

_º‚[^`[akm[vzN­zZm[^zbnZ\k&­[vžrk\‚Abž8¡Ÿ`K¬'eo}|~bn|Ik\i}[^o xg¢rbt+kmsq­k\‚b2w}[~|<_jw¥µW¶[^w}qAbIZWzZm[vz%bIZ\k\iubnt›_aoq

tm‚[<¢ k\‚_<k¢ilk\‚¤zAZ\[^©=_a©i}wuilk&­X[^ob^xk\‚b«t_a`zwub‡zZm[N|nbntmt‚=_at‡_jk?b<_j|‚z[viuopk°

I

<~2™w}[~|<_jw€Qq‚hsr/ƒ

„…hsk]†ƒpqsV‡ˆƒsVj‰dry†"3qsrWbny~s=_jwkm[ª„{³À§

ZVŠ

_aoqŒ‹k]r/ok*h;*„{Žq;ƒpdl\d‹qsr/r*%bnyNs_jwkm[™§

ZVŠ

¯8tmbnb?qbIœ

oi}k\i}[^ot)i}o|~bn|Ik\i}[^op²¬ge'oŒ|Nbn|Ik\iu[vo™†Axv¢rbrzZm[vz[^tmb_tmi}`«sw£_jk\i}[^o¨zZm[N|nbnqsAZ\b{_aoq™qbntm|nZ\iu©b{_?o=_<kmsZh_jw

`bIk\‚A[Nqªž£[^Z˜bnt\k\i}`2_jk\iuo]Wk\‚bSž soA|hkmi}[^oU§¯8°\²¬ — b‡|n[^o|nw}sAqbkm‚i}t˜tmbn|Ik\iu[vo2¢{i}k\‚Xtm[v`bbI¦~zbnZmi}`bnoNk_aw

Zmbnt\sAwlk\t<¬

„~¬‘ ’“”.0%'.•&/.0)1%–)1“˜—™,š&'.V“](*›/-&'.V)1%'›šœ(y)žŒ%'.•›%}—™)&'.V)1%

¡ŸbIž [vZmb‡i}oNk\Zm[NqsA|ni}o]¨km‚b‡`2¡Ÿ`Kx^¢¥b‡tmbIkrk\‚b‡ž [^w}w}[<¢i}o]¨qbIœAoAilk\iu[voU[až)_›µW¶[^w}qAbIZ˜ž£sAo|Ik\iu[voŸ

 X¹p¡w¢1£‘ ££¾'¢¥¤¦^§J¨¾ ±¿ ¹ ’ª© ¢ •a‘ £ ¾¢ ¾ © ¹X«¬¾'¢g¹]¢ ‘5­¯®F°

S¯±˜c

Ug²

²8hsr'ƒU¯3³c

UX´

²aQŒvq‚j5dVdoª†‹yhpo\d†¶µ·n"k]r/oqsr¹¸ºŸi±¼»½³¾0†Œo\h;VQƒJhXµW¶[^w}qbnZ

ž so|Ikmi}[^oº[ažbI¦z[voAbnopk

­J¿

2]cn¯nqsl\h”o"!‰ÀcQÁxa±Â†"k*o"!a0!hs

Up²

¯Àc\ÁA²4:‹Œv@!hssFÃ

U”´

¯Y¸g¯À²"c¸g¯ÁA²+²uÄÆÅF`

Ug²

¯ÀcQÁ²3Ç

È

Ý8Ïë^Û

ï<ð

ÒÝ8ÛrÖ8ÒÉhÏIÖ±Ï

ð

Ù\ÊvÝó<Û\Ù۟éjÖ8Ï

Ø

Û+ÙÙÛ\ÙGÑhÖ8Û¥Ö8ÑhÝ8ójÛ+ÖÙÛ\Üíõç£Ñ"˘ÓjÛÝójÑhÓWÙÛ+Üíõç£ÙÒÔИÒÔÜÔÑIÖ^Êjë

ð

Ý)Ý8ójÒÔÙ)ÜÔÑhÙ8ÝGÝÛ+Ö8Ð ÒÔÙÐ{ÏhÖ8Û

Ì

ÒÔâjÛ+Üò ð ÙÛ\âpì

(5)

nqs@†qsj5 oQqsry†"Yhsr*1Å ¿ 2y

 X¹p¡w¢1£‘ ££¾'¢Æ¦ u‘ £©&’j”=•a‘ £ ¾'¢ ”›’ ¾½5¢1£” ¢ ¾ ‘ ££¾'¢ ®F°

G§ Ÿ M

2Xcdb ²i» ¯Y2Xc<‹<²$\lh‘„‚Žq;ƒpwn"k]r'odV3qsr˜q nQ‹yqsr/r*

­J¿

2*/qs°u<}2Œ0!nq;0qsvw0r $\hsr

ƒpqsjˆn"k]r/oV3qsr¶ƒpr/qs3Qƒa

W

?S¯8°\²‰qs

W

?“¯±°m²Q0†‘o\h;VQƒªQQƒskyoQQƒ "!$#%&'(!$)*#+#

,!"!$#Æv¯0V!@nk]r'odVqsr/h;”‹hsQhsj5Y§Ã

W ? I¯±°m²A

‹

B¯'§

Z C ‹FE^„v² G¯H I

K'L

M

¯8°³JNj²

?

K'OQPQR

³ ¯\³SNj²

?-

K'OQPQR T0UXW

¯YNj²/C H Z

I

¯±°³[N<²

?

K'OQPQR UXW

¯YNj² _ c

v¯!Q

W

ƒpdr'qsY† V!aqsQƒs0r/hsªt¶Qqsvwry3hsrJj5qsV3qsr}hsr/ƒa0!0r*YgQhsVqsr[0†l3h/.gr–VrJV!‰j5\h;r

†10dkyhsQ…†dry†F

e¥‚Ai}to=_jk\sAZ_awbI¦Nkmbnotmi}[^o¤[až)ž8¡Ÿ` Zmbnt\sAwlk\tiuoUtm[^`b‡t\bnoAt\b¨i}oÀ_32wu[vtmt54ª[vž)zZm[^zbnZ+kmi}bntFŸ=k\‚b¨i}o|nZmb

`bnoNk\t˜[vž`2¡Ÿ` i}oAqbnbnqK_aZ\b‡oA[voKt\k_<kmi}[^o=_aZ+­U_joAqºkm‚b!zZm[~|nbItmti}t{o[`[vZmbSt\bnw}žtmi}`i}w _jZ<¬µ{[<¢rbh´pbnZ<x

¢rb˜tm‚[<¢ k\‚=_jkk\‚Ab_atmt\s`ªzk\i}[^oWk\‚=_jkr§ i}tŸ_‡µW¶[^w}qbnZž so|Ik\iu[vo™bnopkh_jiuw}t)k\‚b{|n[voNk\i}o~silk'­«[vžk\‚b`2¡Ÿ`K¬

[vk\b?k\‚=_jk˜k\‚Ai}t˜|n[^oqi}k\i}[^oXi}t_¨t\s76™|ni}bnoNk˜[voAb^x~¢‚i}|h‚ª`i}]^‚pkr©b?Zmbnw£_j¦bIq2km[«iuo|nw}sqAb?`[^Zmb{]^bnobnZh_jw

ž so|Ikmi}[^ot<¬

¡ŸbIž [vZmb‡zZm[<´~i}oA]¨k\‚b‡|n[^opkmi}oNsAilk'­2[vžPkm‚b‡`2¡Ÿ`Kxv¢rb?Zmbn|<_aw}w/tm[v`b¢rbnw}wz~o[<¢{oXZ\bntmsw}k\tFŸ

¯\‹j²8 ”•a‘;° /d&9ˆƒpr/qsYShSQhsr'ƒpqsj shs3hpd/nq;Vqsvw0r @h;r;:¯32]c=<

R

²uhsv¶>!rSnqs€hsry@? ¿ 2

v$!hssBA^†Q C”€h"‹qsk0†DA5EF F EHG™‹E EJI=GiÃ

K ML± LM T A „ M PQR

BON MHP

O

RRQ

OR ² < M ` ¯'„N¬m2^²

¯'„^²TS;Ug¹N¾ ’ ¹ WV¸º¾ ¾$X=¾ ’ ¾ZY •v’ £‘ ¹ ’ £ ¾'¢\[¯8tmbnb!b^¬]A¬ — [^o]{€h;A¯\‹<Œ;:pcv²rz/¬c^]^²¬

Z

c{°¶x`_¾Q{h †3‹yhs\hp ‹QqFo\d†"†‚hsr/ƒ{da_ Q‚h¯r*0Yª0r*Y;h;@bVnŒ0!d\{\g0†"

†"odm…‹qs†"00;‘oQqsr*†"3hsr*†dcwe€-f †"k*o"!a0!hsgK L± ZPh

³{±

Z Li ÄRfkj

O

P\l

V!r

tmsz

ZnmoHpq

rZK o rs h L± Z

³{±

o

Lut1v o v

³m³³^»

h/w I 2X`

e¥‚b«_atmt\s`ªzk\i}[^oº[vžt\bnz=_aZh_j©Ai}w}i}k&­X[až)k\‚b¨zZm[N|nbntmti}t?o[akSt+kmZ\[^o]Ax©bn|“_astmb¨ilžg_ i}oAqbnbnq¤i}t

_«Zmb<_jwPi}opkmbIZ\´^_awk\‚bnoKbI´^bnZ\­ºzZm[N|nbntmt{`2_n­ª©bW_atmt\sA`bnq2tmbnz=_aZh_j©wub«¯8tmbnb!b^¬]A¬ˆqwubnZ‡¯m‹“Œg:~‹j²

z/¬/‹jcv²h¬

¯&p²TS;Ug¹N¾ ’ ¹ WVx< ¾ ¹ ‘“’ »}¬ ’ ¾*¬¹ ’“‘ »&[{¯8tmbnb‡b^¬]A¬ — [^o]{€h;A¯\‹<Œ;:pcv²rz/¬/‹n†^†N²¬

y

W Z c{z

Z{|

Q‘h$tu\qsvwr*hsraj5qsVqsr{hsr'ƒld}P¯~™c+°\²hsr/ƒ€¯~€c\°\²\@Qhsr'ƒpqsj¥n"k]r/oV3qsry†

 qs0r*‚j5Qhs†"k]\h”d0r ¯‚~€c\°\²`A^vw0V!J\d†‹QolYqTz Vrƒ~ hsr'ƒ‚V!aQ†gk*8j5\hs†"k]Q80r

°„GÆhsr/ƒ†"k*o"! V!hs€nqs{hsr* ¯„…yc=†n²¹x e R

k… 4‡†F‰v¶˜!hss‰ˆ+Š

t

K›¯

L} Z LR ²U

°[4 b hsr/ƒ

ˆ Š

t

K«¯

L Z LR ² U °u4Æb d>!dr

K MH Š

t } Z UXW

¯±°\²`

H Š

t  Z UXW

¯±°\²

T A H Š

t

K«¯n}

Z  Z ²U

°`

(6)

’ ¾*¬¾  £‘ ££¾'¢ ° 00!l‹Qqp\hpdVVVaqsr/"

W

? ¯±°m²Q)¯32 Ä °4¥b ²@0†$hŒoQqsry0r*k*qskX†¯n"k]r'odVqsr{qnŸ°F

D!Z!

€[vZ{|n[voN´^bnoAi}bno|nb^x¢rb‡i}opkmZ\[~qs|nb?k\‚bSž [^w}w}[<¢i}o]›oA[ak_jk\iu[vog¬

€[vZb<_a|‚ °º<¼2 tmbIk

W

? ¯±°\²=A

O

?- y

O

¯±°m²SC

R

¯8°\²

|

¢{‚AbnZ\b

O

¯±°\²ÆA ˆ I

K/L

¸g¯YNgc+°m²

UXW

¯YNj²x

R

¯8°\²˜A ˆ Z

I

¯^N;c\°\²

U]W

¯YNj²¬r€[vZ2b<_j|‚~N–4 °IxŸw}bIk

¯YNgc+°\²A ¯±°³~N<²

?

K

_aoqž [^ZXb“_a|‚ ° ¿ 2~x

N@4=2x¸/¯YNgc\°\²wA

¯YNgc+°m²g³ ¯\³SNj²

?

K

¬

— b‡zZm[“´pbSk\‚=_jk

O

¯8°\²r_aoq

R

¯8°\²{_jZmbS|n[voNk\i}o~s[^st˜ž sAo|Ik\i}[^ot?_jk_joN­ª°u<Æ2¬

‘

¹”¬ˆ¤=¬

—

b‡tm‚[<¢ km‚=_jk“xž [^Z™2 Ä °u4Æb x

O

¯±°\²r‚=_at_aw}`[^t\k˜_aw}w%z_<km‚t|n[voNk\i}o~s[^st“¬

e'kŸi}ttmsZ6|Iiubnopkkm[!tm‚[<¢ k\‚b|n[voNk\i}o~si}k&­«[^ob<_j|‚ª|I[^`z=_a|IkŸi}oNk\bnZ\´v_aw

M

…ycH†

T

M

2Xcdb ²P¢{ilkm‚†/³ …4:‹v¬

€[vZ{k\‚Ab‡t_sz^bS[vžoA[ak_jk\iu[vo_jwgtmiu`zw}iu|Ii}k&­pxp¢rbW_jtmtms`b?k\‚=_jk …ªÄ °€4 °ÄR†S_aoq{2l4 § Z 4 §

Z 4 ‹vx

_aoq¢¥b™tmbIkB: A!

O

¯±°"£²Ÿ³

O

¯±°m²¬: i}t¨_ Á _jstmtmi£_aoZh_aoq[^` ´^_jZmi£_a©wub^¬/e¥‚bno ¢¥b5zNo[<¢Wx©N­¤k\‚b

i}tm[^`bIk\Z\­™zAZ\[^zbnZ\k&­pxk\‚=_jk :$# :¯32]c ˆ I

K'L

¯Y¸g¯YNgc+° ²G³¸/¯YNgc+°m²+²

R U Nj²¬

%bIk j O

¯'&²¯A ¯'&³JNj²

? K

_aoqOj

R

¯'(A²wA ¯8°³[Nj²*)

K ³ ¯\³SNj²*) K

¬=e¥‚Abno…Ÿ

¸g¯YNgc+°²G³J¸g¯YNgc+°\²wA

Mj O

¯±° ²G³3j

O

¯8°\²

T C Mj R

¯&§

Z

²G³3j

R

¯&§

Z ²T¬

— b‡_azzw}­›k\‚Abk\‚Abn[vZmbn` [^oœAoAilk\biuo|nZmbn`bnopk\t)km[!km‚b?ž£sAo|Ik\i}[^otaj

O

¯8ž£[^Z&˜x

M

°c\° T

²Ÿ_joAq j R

¯8ž£[^Z

(x

M§ Z+

ch§

Z T

²¬ — b¨[v©k_ai}oUk\‚bWž [vwuw}[<¢{i}oA]i}obny~s=_aw}ilk'­¯±¢¥bW‚=_n´^b¨stmbnqUk\‚bWž [vwuw}[<¢{i}oA][v©N´~iu[vsAtž±_a|Ik

¯n…@C †I²

R Ä „N¯n… R C † R

²+²Ÿ

¯Y¸g¯YNgc+°

²G³J¸g¯YNgc+°m²+²

R Ä „ M y^¯±°

³¤°m²

R

¯'§

Z ³ ‹

„ ²R

¯-,™³JNj²

R ? K/.

| C ¯'„N¬u‹<²

y^¯&§

Z+

³À§

Z ² R10

w}[^]¯8°³JNj²m¯8°³JNj²2

K

³w}[^]A¯\³SNj²m¯\³SNj²2

K354 R | T c

¢{i}k\‚6,ax¯±°dc+° ²r_aoq87x¤¯'§

Z

Z+

²¬

—

b‡o[<¢ |‚bn|"zªk\‚b:9?[^w}`[^]v[^Zm[<´™|nZmilk\bnZmi}[^ož [^Z1

O

¯8°\²xg¯±° x

M

…ycH† T²¬

—

b‡zZm[N|nbnbnqºiuo2k\‚Zmbnb‡t+kmbnztŸ

; — b?‚=_n´^bS„

M

¯±° ³ª°\²

R

¯&§

Z ³ OR ² R

¯',?³8Nj²

R ? K/.

T Ä OR

¯±° ³°\²

R

¯±°=³8Nj²

R ? K.

x«km‚bnZ\bIž [^Z\bk\‚bnZmb

bI¦~iut+kmt < O ¿ 2›t\sA|‚2k\‚=_jk

H I

K'L

„ M

¯±° ³¤°\²

R

¯&§

Z

³ ‹

„ ²R

¯-,«³[N<²

R ? K/. T0U

NÄ<

R

O

¯±° ³¤°\²

R

4=b ` ¯'„N¬„v²

;

¡­2qbIœ=oilkmi}[^o2[vžGk\‚bSž soA|Ik\i}[^o¤§¢¥b‡‚=_n´pbSk\‚b‡iuobnyNs_jw}i}k&­

¯&§

Z ³ § Z ²R ÄÆÅ

³¤°

LRÇ c Å ¿ 2]c ¯'„N¬õ^²

¢{‚iu|‚X¢{iuw}w©b‡sAt\bIž swPi}o2k\‚b‡tmbnyNsAbnw¬

—

bWo[<¢ t\‚A[“¢:km‚=_<k{k\‚b!ž£[^w}wu[<¢{i}o]¨iuobnyNs=_aw}i}k&­ª‚A[vw}qAtŸ

tmsz

Znm

2

H[I

K'L

0 wu[v]A¯±°³JNj²m¯±°)³JNj²2

K

³wu[v]A¯m³™Nj²m¯m³SN<²"2

K 4 R U N4 b=` ¯'„N¬†N²

(7)

e¥‚bµW¶[vwuqbnZž£sAo|Ik\i}[^o2§ iut|n[^opk\iuoNs[^st[^o

M

…*c=†

T

xjk\‚bnZmbIž [vZmbrkm‚bnZ\b{bI¦~i}t\kicªx¯32]c“‹j²Ptms|‚

k\‚=_jkž£[^Z_aop­2°ux

M

…yc=†

T

¢rb‡‚=_n´^bW§

Z x M

¯c

T ¬

e'oXkm‚bSœAZmt\krzAw£_a|nb^x~¢rb?tm‚[<¢ km‚=_jk

tmsz

Zm2 H I

K'O

0

w}[^]A¯±°)³JNj²m¯±°³Nj²2

K

³wu[v]A¯m³SN<²¯\³SNj²2

K

4 R U

N4 b=` ¯'„N¬cv²

—

b‡‚=_n´pb

HJI

K/O

0

w}[^]A¯±°³Nj²m¯±°³Nj²2

K

³Àw}[v]A¯m³SN<²¯\³SNj²2

K 4 R U N

Ä „ M HJI

K/O

¯8w}[^]A¯±°)³JNj²+²

R

¯±°³N<²

R 2 K'O U

NC HJI

K'O

¯8wu[v]A¯m³SN<²\²

R

¯\³SNj²

R 2 K/O U N T

Ä „ M HJI

K/O

¯8w}[^]A¯n†Ÿ³Nj²+²

R

¯±°³N<²

R 2 K/O U

NC HJI

K'O

¯8wu[v]A¯m³SN<²\²

R

¯m³SN<²

R”K/O U N T

Ä „N¯8w}[^]A¯n†¯C ‹j²+²

R

¯n†C ‹j²

R

³3…

„

C5„

H I

K'O

¯w}[^]A¯\³SNj²+²

R

¯\³SN<²

RXK'O U N4¥b=c

¢{‚iu|‚XbIoNk_ai}w}t‡¯'„~¬õc^²¬

e'oXkm‚b‡tmbn|I[^oqUzw£_a|nb^x¢¥bSt\‚A[“¢:km‚=_<k

tmsz

Znm

2 H K'O

K'L

0 w}[v]=¯±°³JNj²m¯±°)³JNj²2

K3

³Àw}[^]¯\³SNj²m¯\³SNj²2

K3

4 R U N@4 b ` ¯'„N¬õ…^²

€[^ZÆN 4 ³‡‹^x‡k\‚Ab k\‚AbI[^Zmbn` [^o œAoi}k\b i}oA|nZ\bn`bnoNk\t _azzwui}bnqkm[ km‚b ž soA|Ik\i}[^o

,³» wu[v]A¯-,›³JNj²m¯-,™³[Nj²

2K

³w}[^]A¯\³SNj²m¯\³SNj²

2K

qbIœAobnq[vo

M

2Xc\°

T

¢{i}k\‚K°x

M

…*c=†

Tx

]vi}´^bnt

0

w}[^]A¯±°)³JNj²m¯±°³Nj²2

K

³wu[v]A¯\³SNj²m¯m³SN<²"2

K 4

R

Ä † M

‹¶C w}[^]A¯n†Ÿ³[N<²¯*7g³

‹„ ²T

¯\³SNj²2

K

R

Ą†

R M

‹¶C¯›³

‹

„ ² R

¯8w}[^]A¯n†Ÿ³Nj²+²

R T

¯\³SNj²

R fK/.

c

_joAqªkm‚b‡w£_at\k{`bn`›©bnZi}t{i}oNk\bn]vZh_a©w}bS[voÀ¯\³Sb=c“³‡‹

T

¬Ae¥‚iutrzZm[“´pbnt!¯'„~¬Ô…^²h¬

Ÿ[^`›©iuoi}o]ª¯„N¬õc^²r_aoq¯'„~¬Ô…p²xA¢¥bS[v©kh_jiuo¯'„~¬†~²¬

;

¡­ª|n[v`«©i}oiuo]Sk\‚Ab‡_a©[<´^bSt+kh_<kmbI`ªbIoNk\t?¯'„X`}‹j²x%¯'„X`õ„v²hx¯'„X`ԍp²_aoq¯'„X`†~²xN¢rbi}ož£bnZ¥k\‚_<k{k\‚bnZmb

bI¦~iut+kmt

O ¿ 2›tms|‚2k\‚_<kk… ?~¯n:¤²Ä O L

°"³¤°

LR Ç `

€Z\[^` ¯'„”`m2^²?¢¥b]^bIk¨k\‚=_jk!ž [vZ«_aop­ c ¿

2~x/km‚bnZmbªbI¦~iut+kmt

R ¿

2ºtms|‚Àkm‚=_jk(K«¯

L O

¯±°

²Ÿ³

O

¯±°m² Li

²¶Ä

R L

°p³K°

LÇ i

¬AeG_fz~i}o] c ¿ O

Ç

_aoqXstmi}o] 9?[^w}`[^]v[^Zm[“´™|IZmilkmbnZ\iu[vogxp¢¥bS|n[v`zAw}bIk\b

|pk\bnz ‹^¬

‘ ¹”¬ ¬ bh¦~k“xž [vZ2lÄ °¶4¥b x¢¥bSt\‚A[<¢ km‚=_jk1

R

¯±°m²¥‚_jt_jwu`[vt\k˜_aw}w/z=_jk\‚At˜|n[voNk\i}o~s[^st<¬

ˆt¥_a©[<´^b^xNi}kŸi}ttmsZ6|ni}bnopk)k\[Wt\‚A[“¢ km‚b|n[voNk\i}o~silk'­™[^o™b<_j|‚2|n[v`z_j|Iki}oNk\bnZ+´^_aw

M

…*c=†

T M

2Xcdb ²g¢ilk\‚

†Ÿ³,…54:‹^¬

€[vZ{k\‚Ab!th_fz^b‡[až)o[vk_<kmi}[^o=_awPtmi}`zAw}i}|ni}k&­pxp¢rb‡t\bIk …ŒÄ5°€4 ° Ä †S_joAq˜2‰4 § Z 4 § Z 4 ‹!_aoqX¢ilk\‚

k\‚Ab‡o[vk_<kmi}[^oº[až|Nk\bnzÀ‹^x¢¥bW_at\tms`bkm‚=_jk§

Z x M ic

T

¯32]c“‹j²"`

€[vZ{|n[voN´^bnoAi}bno|nb^x¢rb‡i}opkmZ\[~qs|nb?k\‚bSž [^w}w}[<¢i}o]›oA[ak_jk\iu[vo‘Ÿ

: O A ˆ Z

I M

¯±°"³JNj²

? K ³ ¯±°³[N<²

?

K T0UXW

¯YNj²$:

R A ˆ Z

Z

¯±°"A³JNj²

?

K U]W

¯^N<²

: . A ˆ Z

I M

¯±° ³JNj²

? K ³ ¯±°³Nj²

? K

T0U]W

¯^N<²`

—

b‡‚=_n´^bSk\‚AbSž£[^w}wu[<¢{i}o]«Z\bnw _<kmi}[vo@Ÿ

(8)

K›¯

L R

¯±° ²G³ R

¯±°\² LR

²wA K›¯

L: O C : R C : . LR

²¶Ä †¯nK«¯

L: O LR

²C K«¯

L: R LR

²C K›¯

L: . LR

²+²¬

—

b‡o[<¢ |‚bn|"zªk\‚b:9?[^w}`[^]v[^Zm[<´™|nZmilk\bnZmi}[^ož [^Z1

R

¯8°\²xAž£[^Z{°¶x

M

…*c=†

; — bWt\‚A[<¢ km‚=_jk˜k\‚bnZmb‡bI¦~iut+kmt™Å

O ¿ 2WiuoqbnzbnoqAbnopk[ažG°r_aoqX°"tms|‚2k\‚_<k

K›¯

L: O LR

²ÄÆÅ

O L°

³°

LR

Ç/` ¯'„N¬]v²

¡­ªk\‚AbSk\‚bn[^Z\bn` [voºœAoilkmb‡i}o|nZmbn`bnopk\t{_azzAw}i}bnq2k\[«k\‚bSž soA|Ik\i}[^o/x=qbIœAobnqU[vo

M§ Z c§

ZT x

j ³*» ¯8°³Nj² h K

xkm‚bnZ\b‡bI¦i}t\k\t3,

o

x¯&§

Z

Z+

²)tms|‚ºk\‚=_jk

¯±°"A³JNj²

? K

³5¯±°"³JNj²

?

K A ¯&§

Z

³À§

Z

²Nw}[^]A¯±°A³JN<²¯±°=³JNj²

K ¬

{tmi}o]›k\‚b‡i}tm[^`bIk\Z\­™zZm[^zbnZ+k'­px

K›¯

L: O LR

²iA H Z

I M

¯'§

Z+

³ § Z

²Nw}[^]A¯±°

³JNj²m¯±°

³[Nj²

K TR U N ¯&_p²

A ¯'§

Z+

³À§

Z ² R H[Z

I

¯8wu[v]A¯8°

³JNj²+²

R

¯8°

³JNj²

R

K'O U Ng`

{tmi}o]›k\‚bWµW¶[^w}qbnZ{zZm[vzbnZ\k&­ª[vž)§

Z x

¯&§

Z+

³ § Z ²R ÄÆÅ

R

¯±° ³¤°\²

R

Ç` ¯©²

€[vZ‘284·N4 ° k\‚Ab¨ž so|Ik\iu[vo , ³»f¯8w}[^]A¯±° ³ÆNj²+²

R

¯±° ³ÆN<²

R K'O

iut?|nw}b<_aZmwl­Uz[^tmilk\i}´^b™_aoq

`[^o[akm[voAi}|?[^o

M

ic

e¥‚~stŸ

H Z

I

¯8w}[^]A¯±°

³[Nj²+²

R

¯±°

³JNj²

R

K'O U N™A

H Z

I M

¯w}[^] &%²

R &

R”K/O

C ¯8w}[^] &²

R &

R fK'O T0U

&

Ä H Š

I M

¯8wu[v] &²

R & R ”K'O

C¯w}[^] &%²

R & R fK/O T0U

&84=b

¢{‚iu|‚º|n[^`›©iuobnq¢{i}k\‚¯&_p²r_aoq¯©²­i}bnw}qt‡¯'„~¬C]^²¬

; —

bWt\‚A[<¢ km‚=_jk˜k\‚bnZmb‡bI¦~iut+kmt™Å

R ¿

2Wtms|‚ºk\‚=_jk

K›¯

L: R LR

²ÄÆÅ

R L° ³°

LR ` ¯'„N¬m:^²

e'oAqbnbnqº¢rb?‚_I´pb

K›¯

L: R LR

²iA H Z

Z

¯±°

³JNj²

R

?

K'O U N€A

¯±°"³¤°\²

R

?-

„a§

Z c

¢{‚iu|‚ºbnoNk_jiuw}tS¯„N¬m:^²¬

; — bWt\‚A[<¢ km‚=_jk˜k\‚bnZmb‡bI¦~iut+kmt™Å

. ¿ 2Wtms|‚ºk\‚=_jk

K›¯

L: . LR

²ÄÆÅ

. L°

³°

L O m

R

` ¯'„N¬õŒ^²

(9)

%bIkž [vZ|n[voN´pbIoAi}bno|nb^x&j%¯^N<²A ¯+¯±° ³JNj²

? K ³ ¯±°)³JNj²

? K

² R

xž£[^Z2‰Ä=N…4 °Ixg¬ — b‡‚=_n´^b

k\‚b!ž [vwuw}[<¢{i}oA]Wbny~s=_aw}ilkmi}bntŸ

HJZ

I

j%¯^N<²

U

NSA HJZ

I

¯\¯±°³N<²

? K ³ ¯±°

³JNj²

? K ² R U N

A

HJZ

I

¯8°³JNj²

R

?

K'O C¯±°

³[Nj²

R

?

K'O

³ „N¯+¯8°³JNj²

?-

K

¯8°

³JNj²

?

K U N

A ° R ?

„a§

Z C

¯±° ²

R ?

„a§

Z ³

¯8°³¤°m²

R ?

„v§

Z ³ „ H Z

I

¯+¯8°³[Nj²

?-

K

¯8° ³JNj²

?-

K U N;`

—

bWt+kmsq­km‚ZmbIb‡|<_atmbntŸ

”= ¹J¤=¬§

Z 4 OR ¬ — b‡‚=_n´pb‡k\‚Ab?ž [^w}wu[“¢i}o]¨i}oAbnyNs=_aw}i}k\i}bntŸ

H Z

I

j%¯^N<²

U

N…Ä

°R ?

„v§

Z C

¯8°u²

R ?

„v§

Z ³

¯±°"³°m²

R ?

„v§

Z ³ „ H Z

I

¯±°

³JNj²

R

?

K'O U N

Ä °R ? ³ ¯8°u² R ?

„v§

Z C

¯±°³°m²

R ?

„v§

Z

Ä

¯±° ³¤°\²

R ?

„v§

Z `

e¥‚bnZmbIž [vZmbkm‚bnZmbSbI¦i}t\k\t™Å

. vO ¿ 2¨t\sA|‚Xk\‚=_jk

K›¯

L: . LR

²wA H Z

I

j¯YNj² U N$Ä}Å

. vO L°

³¤°

L

R

`

”=

¹ƒ¬§

Z ¿ OR ¬

H Z

I

j%¯^Nj²

U

N…Ä

°R

?

„a§

Z C

¯±°

² R

?

„a§

Z ³

¯±°

³°m²

R

?

„v§

Z ³ „ H Z

I

¯±°³[N<²

R

?-

K'O U N

Ä

¯±°²R

?

³¤°

R

?-

„v§

Z ³

¯±° ³°m²

R

?

„v§

Z

Ä

¯±° ³¤°CÀ°m²

R

?

³¤°

R

?

„a§

Z

A °R

?

M

¯\‹C ¯±° ³°\²E<°\²

R

?-

³‹

T

„v§

Z

e¥‚bnZmbIž [vZmbkm‚bnZmbSbI¦i}t\k\t™Å

. vR ¿ 2¨t\sA|‚Xk\‚=_jk

K›¯

L: . LR

²¯A H Z

I

j¯YNj²

U

N…ÄÆÅ

. vR L° ³°

L`

”=

¹/¬§

Z A OR

¬]eoXk\‚Ai}t˜|<_atmb«¯'„N¬õŒ^²¥i}t˜[^©p´i}[^st<¬

;

Ÿ[^`›©iuoi}o]ª¯„”`C]^²x¯„”`m:^²xg¯'„X`Ԍp²x¢¥b‡[^©k_ai}o$Ÿk\‚bnZmb?bI¦i}t\k\t O ¿

2¨tms|‚2km‚=_jk

K M

¯*

R

¯±°²G³ R

¯8°\²+²

R T Ä O L° ³¤°

L

R OQPQR

mÇ m `

€Z\[^`¯'„X`2p²¢rb‡]vbIk˜km‚=_jk˜ž [vZ?_aop­ c ¿

2xk\‚bnZmb‡bI¦~i}t\k\t

R ¿

2›tms|‚2k\‚=_jk

K›¯

L R

¯±°²)³ R

¯±°m² Li

²Ä R L° ³ ° L

OQPQR mÇ m i

¬%er‚i}tSi}obny~s=_aw}ilk'­px=¢{‚bno¤|n[^`›©iuobnqº¢ilk\‚

9?[vwu`[v]^[^Z\[<´|nZ\i}k\bnZmi}[^oº_aoq c ¿ O

OQPQR mÇ m

x|n[^`zw}bIk\bnt˜k\‚b‡zZm[~[až[vžYZm[^z[vtmilkmi}[^oX¬

ˆ |n[^otmbnyNsAbno|nb‡[ažGk\‚Ab?zZm[~[ažG[ažgkm‚bSzZmbh´i}[^strzZm[^z[vtmilkmi}[^oªi}t¥k\‚Abž [^w}w}[<¢{iuo]¨[voAb^¬%bIk˜str|n[voAt\iuqbnZ

k\‚AbSž£sAo|Ik\i}[^o‘Ÿ

>·Ÿ¯32]c“‹j²

M

2]c

T

³»6e

¯'§8c+°\² ³» >@?S¯±°\²

(10)

ž [vZ ¿ 2¬=e¥‚b?ž [vw}wu[<¢{i}oA]›Z\bntmsw}k¥bntmt\bnoNk\i£_aw}w}­ªzZm[“´pbntrkm‚b‡|n[voNk\i}o~silk'­ª[vž¯>®¢!¬Z<¬k<¬§sAoilž [^Z\`w}­«i}o

°I¬

S;Ug¹~¾ ’ ¹ ° ?¯3>?!¯±°\²\²

ZyI

Q8hsranQtuj qn50r/ƒp\§f¯32{4 §¼4-‹j²k>!rnqsªhsr*8VryYdsh;

M

…*c=†

T

¯32Xc<‹<²lh;r'ƒ ¿ 28v@!hss‰h;j5qs†"†"k]Qdm

w}iu`

h/w

I

t\sAz

t

? m? Š

r? K ? rs h tmsz

Z„pI1m

L> ? ¯8°\²³¹> ?

¯8°\²

L

A¥2X`

D!Z! — b‡|n[votmi}qAbnZ˜km‚b‡zZm[N|nbntmtqbIœAobnqUž [vZ{° <=2›©N­ ? m?

¯±°m²Aº> ?

¯±°m²³[> ? ¯±°m²Ÿ¢‚i}|‚

i}t{[v©N´~iu[vstmw}­ª|I[^oNk\i}o~s[vsAt“¬ — b‡tmbhk{ž [vZ˜b<_a|‚K§6x

M

…*c=†

T

_joq2 4j84:‹^x

< ? m?

¯8°\²A D…^?

M ? m?

¯±°\²

Tc

h

¯&§¤²¯A t\sz

t

? Š

r? K ? rs h tmsz

Z„pI1m

L

‰?

m?

¯±°m²

Lc h A tmsz

t

? Š h

¯&§¤²"c

¸ ? ¯YNgc+°m²¯A ¯±°³Nj²

?

K'OQPQR

³ ¯\³SNj²

?

K'OQPQR

c ? ¯YNgc\°\²wA ¯8°³JNj²

?

K/O\PQR

c

¨¯YNgc+°m²¯Aº¸ ?

¯YNgc+°m²P³[¸ ? ¯^N;c\°\²¥_aoq¨¯YNgc\°\²wA

?

¯YNgc+°m²G³

? ¯YNgc+°m²"`

— bS¢{i}wuw%`2_szvbsAt\b‡[vžGk\‚bSž [^w}w}[<¢{iuo]¨œA´^b‡t\k\bnzt<¬

‘ ¹”¬ˆ¤=¬ — b‡tm‚[<¢ km‚=_jk˜k\‚bnZmb‡bI¦~iut+kmt€f ¿ 2›t\sA|‚2k\‚=_jk

tmsz

Z„pIm

;… ?~¯ ? m?

¯8°\²+²uÄf L§

³À§

LR ` ¯'„N¬u‹2p²

— b‡‚=_n´^b

D…^?¯ ? m?

¯±°\²\²A K M

¯Y> ?

¯±°m²³¹> ? ¯±°\²\²

R T

A K

ˆ I

K'L

¸ ?

¯YNgc+°m²

U]W

¯^N<²C ˆ Z

I

?

¯YNgc+°m²

UXW

¯YNj²

B M§ C ‹FE^„

T ³ ˆ I

K'L

¸ ? ¯^N;c\°\²

U]W

¯^Nj²/C ˆ Z

I

? ¯YNgc+°\²

UXW

¯YNj²

B M§ C ‹FE^„

T

R

Ä „K

ˆ I

K/L

¨¯^N;c\°\²

U]W

¯YNj²C ˆ Z

I

¨¯YNgc+°m²

UXW

¯YNj²

B M§ C ‹fEv„

T R C „

B¯&§ C ‹fEv„^²

B¯&§

C ‹fEv„^²

³ ‹ R

K«¯+¯3>?W¯±°m²+²

R ²

Ä †

¯3B

M§ C ‹FE^„

T² R G H I

K'L

¯¨¯^N;c\°\²+²

R U NC

H Z

I

¯¨¯YNgc+°m²+²

R U N _ C„ ? ° R ?

B¯&§ C ‹fEv„^²

B¯&§

C ‹fEv„^²

³ ‹ R c

¢{‚AbnZ\b ? i}t{qbIœAobnqUi}o7K_joAqbnw}©Zm[vk €h;A¯\‹<Œv…g:p²¥zg¬†~„^cNx©N­

? A M

B¯&§6C ‹fE^„v²

T

KR y ˆ I

K'L

M

¯\‹¨³~Nj²

? P

OQPQR

³ ¯\³SNj²

? P

OQPQR TR U

N…C

O

R ? |

`˜§ ³» B ? i}tX|nw}b<_aZ\w}­

|n[^opk\iuoNs[^st<¬=e¥‚AbIZmbIž [vZmbSk\‚AbnZ\b‡bI¦i}t\k\t€f

I ¿ 2›t\sA|‚Xk\‚_<k{ž£[^Z§8ch§8/x

M

…ycH†

Tx

D… ?~¯ ? m?

¯±°m²+²uÄf

I H I

K'L

¯¨¯YNgc+°m²+²

R U NC

H Z

I

¯¨¯YNgc+°m²+²

R U

NC

B¯&§DC ‹fE^„v²

B¯'§

C ‹FE^„v²

³ ‹ R"!

`

— b‡t+kmsq­Xt\bnz=_aZh_<kmbnwl­k\‚Ab?km‚ZmbnbSk\bnZ\`ªt¥[vžGk\‚bW_a©[<´^b‡iuobnyNs_jwuilk&­

¯\‹j²2e¥‚bªž so|Ik\iu[vo–B¯À²‡‚=_at¨|I[^oNk\i}o~s[vsAt›qbnZmil´^_jk\il´pbnt![vž_aw}w[^Z\qAbIZmt‡ž [^Z À

¿

2¯8tmbnb2bv¬]¬G€Gi

zN‚Nk\bno]^[vwk\t¨¯\‹“Œ^…pcv²?¯Ve em²˜z/¬/‹/]N‹j²¬e¥‚~st<xk\‚b!k\‚bn[^Z\bn`-[^oXœAoi}k\b!iuo|nZmbn`bnopk\trbnoNk_jiuw}t{k\‚=_jk

k\‚bnZmb‡bI¦~iut+kmt€f

O ¿ 2¨t\sA|‚Xk\‚_<k1Ÿ

f I

B¯&§DC ‹FE^„v²

B¯&§

C ‹FE^„^²

³ ‹ R Äf

O

¯&§ ³À§¤²

R ` ¯'„N¬u‹v‹j²

(11)

¯'„^² — b sAt\b _a]p_ai}ofk\‚b k\‚Abn[vZmbn` [vo œAoAilk\b i}o|nZmbn`bnopkmt _azzwui}bnq k\[ km‚b ž soA|Ik\i}[^o

, ³» ¯±°³[N<²

K'OQPQR xž [vZ17¯x

M

§8c§ T

¬=e¥‚bnZmb?bI¦i}t\k\t 7

o5mZ

x¯&§8ch§ ²Ÿtms|‚2k\‚_<k

H[Z

I

¯¨¯YNgc\°\²+²

R U N€A ¯'§

³ §K²

R

HJZ

I M

w}[^]¯8°³JNj²

TR

¯±°)³JNj²

R 2

K'O U N

Ä ¯'§

³ §K²

R MH O

I M

wu[v] & TR & R 2

K'O U

& C

H

O mZ

O M

wu[v] & TR & R 2

K'O U & T

Ä ¯'§ ³ §K²

R MH O

I M

wu[v] & TR & R t K'O U

& C

H

O mZ

O M

wu[v] & TR & R Š

K'O U & T`

%bIk f R A y ˆ O

I M

wu[v] & TR & R t K/O

U

&lC ˆ

O m

O M

wu[v] & TR & R Š

K'O U & |

¬=er‚bno2¢¥b‡]^bIk

tmsz

Z„pIm G H Z

I

¯¨¯YNgc+°\²\²

R U N]_Äf

R

¯&§

³ §¤²

R ` ¯'„N¬u‹<„^²

e¥‚b‡zAZ\[~[až[vžGk\‚b‡w£_at\k˜i}obny~s=_jwuilk'­ªi}t˜wu[vo]^bnZ<¬ — b‡t\zAw}ilk˜i}kriuopk\[«k'¢¥[™|nw£_ai}`t<¬

¯&p²

—

bWt\‚A[<¢ km‚=_jk˜k\‚bnZmb‡bI¦~iut+kmt€f

. ¿

2›t\sA|‚Xk\‚=_jk

tmsz

Z„pI1m GwH[I

K/L

¯¨¯YNgc+°\²\²

R U N _ Ä f .

¯&§

³À§¤²

R ` ¯'„N¬u‹“p²

7K_fz~i}o]stmb[vžNk\‚Ab)k\‚bn[^ZmbI`:[^oSœAoi}k\b)i}o|nZmbn`bnopkmtž [vZgk\‚bž so|Ik\iu[vo 7 ³» ¯±°³N<²

2

K/OQPQR

³ ¯m³SN<²

2

K/OQPQR

x

ž [vZ17¯x

M

§8c§ T

x~k\‚bnZmb‡bI¦~i}t\k\t7

o5mZ

x¤¯'§8c§ ²tms|‚Xkm‚=_<k

H I

K'L

¯¨¯YNgc+°m²+²

R U NSA ¯&§

³À§¤²

R H I

K'L

¯8w}[^]A¯±°)³JNj²m¯±°³Nj²2

K'OQPQR

³w}[^]A¯\³SNj²m¯m³SN<²"2

K'OQPQR

² R U N

Ä „N¯&§

³À§K²

R H I

K/L

¯w}[^]A¯±°³[N<²\²

R

¯\¯±°³[N<²"2

K'OQPQR

³ ¯\³SNj²2

K'OQPQR

² R U NC

„p¯'§ ³ §K²

R

HJI

K'L

¯8wu[v]¯±°³JNj²G³wu[v]A¯m³™Nj²\²

R

¯\³SNj²

R 2

K'OdU Ng`

e&kŸiutkm‚NstbnoA[vs]^‚«k\[‡zZm[<´^brkm‚=_jkkm‚b˜k'¢¥[‡iuopk\bn]^Zh_jwut_a©[<´^b{|“_ao™©b˜©[^soqAbnq«©N­¨|n[^ot\k_aopkmt

i}oqAbnzbnoqbnoNk[vžG°hx=§ _joAqU§88¬

;

%bIk{sAt˜t\‚A[<¢ œ=Z\t\krk\‚=_jk

tmsz

? m?

p

t mŠ tmsz

Z„p Im H[I

K'L

¯8w}[^]A¯±°)³JNj²+²

R

¯+¯±°)³JNj²2

K'OQPQR

³ ¯\³SNj²2

K/O\PQR

² R U

N4=b `

¯&_p²

— bº_jtmtms`b™œAZmt\kWkm‚=_jk <‹X_aoq °ªx

M

‹;c T ¬ — b2sAt\bªk\‚bªk\‚bn[^Zmbn`[^o œAoilkmb

i}o|nZmbn`bnopkmt›_azzwui}bnqÀkm[¤km‚b2ž£sAo|Ik\iu[vo, ³» ¯',U³ Nj²2

K'OQPQR

xGž [vZ ,ºx

M

2Xc\°T _aoq

(12)

Nx¯m³Sb=c"2p²¬

H I

K'L

¯8wu[v]A¯±°³[Nj²+²

R

¯+¯±°)³JNj²2

K/O\PQR

³ ¯\³SNj²2

K'OQPQR

²R U N

Ä H K'O

K/L

¯w}[^]A¯(³JNj²+²

R

¯+¯±°)³JNj²2

K/O\P"R

³ ¯m³SN<²"2

K'OQPQR

² R U NC

H I

K'O

¯w}[v]A¯(³JNj²+²

R

¯\¯±°)³JN<²"2

K'OQPQR

³ ¯\³SNj²2

K'OQPQR

² R U N

Ä H K'O

K/L

¯w}[^]A¯(³JNj²+²

R ° R

¯7

o5mZ

³‹FE^„^²

R

¯',

o=mZ

³N<²

R 2

K. U NC

H I

K'O

„N¯8w}[^]A¯(³JNj²+²

R

¯+¯8°³JNj²

R 2

K'O C ¯\³SNj²

R 2

K'O

²U N

Ä H K'O

K/L

¯w}[^]A¯(³JNj²+²

R ¯ŒE^„^²

R

¯\³SNj²

R Š K/.FU

NC5„N¯8wu[v]A¯\‹¶C ²+²

R

H I

K'O

¯\¯\‹˜³N<²

R t K'O

C ¯\‹˜³JNj²

R Š K/O

C ¯-³[Nj²

R t K'O

C¯(³JNj²

R Š K'O

C¯\³SNj²

R t K/O C¯\³SNj²

R Š K/O

² U

N4=b `

—

b‡o[<¢ _at\tms`bk\‚=_jk <:‹‡_aoqº°¶x

M

2]c“‹

T

x[vZ 64 ‹‡_aoqX°ux

M

2]c

H I

K/L

¯8w}[^]A¯±°³Nj²+²

R

¯+¯±°³Nj²2

K'OQPQR

³ ¯\³SNj²2

K/O\PQR

² R U N

Ä H K'O

K'L

¯8wu[v]A¯ (³JN<²\²

R

¯\¯±°³[N<² 2

K'OQPQR

³ ¯\³SNj² 2

K/OQPQR

²

RU NC

H Z

K/O

K/O

¯8w}[^]A¯ (³JNj²+²

R

¯\¯±°³JNj²2

K'OQPQR

³5¯\³SNj²2

K'OQPQR

²R U NC

H I

Z

K'O

¯8w}[^]A¯\³SNj²+²

R

¯+¯±°)³JNj²2

K/O\PQR

³5¯\³SNj²2

K'OQPQR

²R U Ng`

— ilk\‚2k\‚AbW_j©[<´pb!o[vk_jk\iu[voX¢rb?]^bIk

HI

K'L

¯8wu[v]A¯±°³[Nj²+²

R

¯+¯±°)³JNj²2

K/O\PQR

³ ¯\³SNj² 2

K'OQPQR

²

RU

N

Ä H K'O

K/L

¯w}[^]A¯(³JNj²+²

R ° R

¯7

o5mZ

³‹FE^„^²

R

¯',

o=mZ

³N<²

R 2

K.

U NC

H Z

K'O

K'O

„N¯8w}[^]A¯(³JNj²+²

R

¯+¯8°³[Nj²

R 2

K/O C¯m³SN<²

R 2

K/O

² U NC

HI

Z

K'O

„N¯8w}[^]A¯\³SNj²+²

R

¯+¯±°)³JNj²

R 2

K'O C¯m³SN<²

R 2

K/O

² U N

Ä H K'O

K/L

¯w}[^]A¯(³JNj²+²

R ¯ŒE^„^²

R

¯\³SNj²

R Š K/. U

NC

„p¯w}[v]=¯\‹C ²\² R H[I

K'O;M

¯\‹r³[Nj² R t

K'O C ¯m‹˜³JNj² R Š

K/O C „N¯+¯m³™Nj²R t

K'O C¯\³SNj² R Š K'O ²T0U NC

H I

K'O

„N¯8w}[^]A¯\³SNj²+²

R

¯+¯m‹{³JNj²

R t K'O

C¯m‹˜³JNj²

R Š K/O

C „p¯\¯\³SNj²

R t K/O C¯\³SNj²

R Š K/O

²+²

U

N…4=b=c

¢{‚iu|‚XbIoAqtrkm‚b‡zZm[N[vž[až¥¯&_p²¬

; — b‡o[<¢ tm‚[<¢:k\‚=_jk

tmsz

? m?

p

t mŠ tmsz

Z„pI1m

y

H[I

K'L

¯w}[^]A¯±°³N<²P³wu[v]A¯m³SN<²\²

R

¯m³SN<²

R 2

K/O U N |

4=b=` ¯©²

(13)

— b stmb km‚b k\‚bn[^ZmbI` [^o œ=oilk\b iuo|nZ\bn`bnoNk\t_jzAzw}iubnq km[ k\‚Ab ž soA|Ik\i}[^o

,³» wu[v]A¯-,›³JNj²xAž [vZ3,8x

M

2]c+°

T

_joAq‚N@x¯\³Sb=c“³‡‹

H I

K'L

M

wu[v]¯±°)³JNj²G³w}[^]A¯\³SNj²

TR

¯m³SN<²

R 2

K/O U N

Ä H K'O

K/L˜M

w}[^]A¯±°³JNj²G³wu[v]A¯\³SNj²

TR

¯\³SNj²

R Š K'O U

NC H I

K/OsM

w}[^]¯8°³JNj²G³wu[v]A¯m³SN<²

TR

¯\³SNj²

R t K/O U N

Ä H K'O

K/L˜M

°\EN¯',

o5mZ

³JNj²

TVR

¯\³SNj²

R Š K/OdU

NC H I

K'OsM

w}[^]¯-³[N<²G³Àw}[^]¯m³SN<²

T0R

¯m³SN<²

R t K'OU

N

Ä R H

K/O

K'L

¯m³SN<²

R Š K/. U

NC H I

K'O M

w}[^]¯(³JNj²G³wu[v]A¯m³SN<²

TR

¯\³SNj²

R t K/O U

N@4=b=c

¢{‚iu|‚XbIoAqtrkm‚b‡zZm[N[vž[až¥¯8©%²¬

e¥‚bnZmbIž [vZmb«¯'„~¬}‹<^²¥‚[^w}qt<¬

€Piuo=_aw}wl­px=¯„N¬u‹2p²Z\bntmsw}k\tž Zm[v` |n[^`›©i}oAi}o]¯'„X`}‹^‹<²x%¯'„X`}‹j„v²¥_aoq¯'„X`}‹<^²h¬er‚bnZ\bIž [^Z\b‘|pk\bnz‹i}tr|n[^`zwub

k\bnqg¬

‘ ¹”¬ ¬ — bªZmbn|<_aw}wkm‚bž [^w}w}[<¢{iuo]Xkm‚bn[vZmbn` ¯8tmbnb2b^¬]¬gˆ?qw}bnZª¯\‹<ŒvŒg2p²Szg¬P†N^²S¢{‚Ai}|‚ ¢{i}wuw©bªstmb

ž sw/i}o2km‚b!tmbnyNsAbnw¬

!$ w%y±

Z | Z„p^q

\‰hªoQr*3dQ\ƒ hsk]†"†"hsr‰‹QqoQ†"†…vw00!ª†hsj€‹' ‹hsV!”†‘\qsk]r/ƒpQƒªhp†/d

LL± LL A t\sAz

Z„pq

± Z hsr'ƒD<

R

q A tmsz

Z„p^q K›¯±

R

Z

²d>!dr K LL± LL

4=bƶhsr/ƒ nqslh;V & ¿ 2X

y L-LL

± LL

³3K LL± LL\L

¿ & | Ä „

K

P

c ¯'„N¬u‹I†~²

hsr/ƒ€nq;$h;0&

¿ K LL± LL

y LL± LL ¿ & | Ä „

K K

rr² rr

P

` ¯'„N¬u‹<c^²

— i}k\‚™k\‚bS_atmt\sA`zk\iu[vo›[vž/k\‚Ab˜km‚bn[vZmbn` _j©[<´pb^xNw}bIk LLL± LLL

A tmsz

Z„p^q L± Z L

¬ge&kž [^w}w}[<¢{tŸž Z\[^` ¯'„~¬}‹jcv²k\‚=_jk

ž [vZ?_aw}w & ¿ K LL± LL

x y LLL±

LLL ¿ & | Ä †

K3

K rr² rr

P

` ¯'„N¬u‹“…p²

— bS¢{i}wuw%zZm[<´^b?k\‚_<k

2lÄ t\sAz

I s ? m? s O KBy tmsz

Z„pIm

‰?

m?

¯±°m²

| 4 b=` ¯'„N¬u‹]^²

? m?

¯32p²A 2K­~iubnw}qt¨km‚bXœ=Z\t\k«i}oAbnyNs=_aw}i}k&­p¬)eg[zZm[<´pbªkm‚bºtmbn|n[voAq i}oAbIy~s=_aw}ilk'­px¢rbª¢i}w}w¥stmb2k\‚b

_a©[<´^b¨km‚bn[^Z\bn`¢{i}k\‚ƒ_ A M 2]c

T

_aoq ± Z A ? m?

¯±°\²h¬'eopkmbI]^Zh_<kmi}o]U©p­¤z=_aZ+kmt‡_aoqsAt\iuo]¤¯'„N¬u‹“…p²

­i}bnw}qtŸ

K LL± LL

A H L

I

¨¯

LL

± LL ¿ &²

U &

Ä „ H L

I

K !

#"

U &

A:„<

q H L

K rr² rr

P

K$

U (

Ä „% „&-<

q c

(14)

¢{‚Ai}|‚/x|n[^`›©iuobnq¢ilk\‚¯'„~¬}‹F2p²x­i}bnw}qAt¯8¢¥b‡qbnoA[ak\bªA:„

%

„&g²"Ÿ

K LL± LL

Ä % f L§

³À§

L` ¯'„N¬u‹:p²

e¥‚Ai}t˜iuobnyNs_jwuilk&­ªbnoNk_ai}w}t‡¯'„N¬u‹]^²¬

‘ ¹”¬ /¬ — ilkm‚ k\‚bUo[vk_jk\i}[^o5qAbIœAobnq _<k«k\‚bº©bn]^i}oAoi}oA][vž{km‚bºzZm[~[až[vž‡e¥‚bn[^Z\bn` †Ax¢¥b2¢{iuw}w

zZm[<´^bSž [^Z_aop­

¿

2¨k\‚AbnZ\b‡bI¦i}t\k\t

¿

2Wt\sA|‚Xk\‚_<k

,y h

< j | Ä j K !

¯'„N¬u‹“Œp²

‚[^w}qAtrž [vZbI´pbIZ\­ ¿ 2«_aoq j84 ‹?¢{‚bnZmbªA „ %

„&)¬

|NbIk˜2 4§ 4 ‹_aoq wubIkT? ©%b_jo i}oNk\bn]vbnZ<¬%bIkÀÀqAbno[vk\b¤km‚biuopk\bn]^bnZXz=_aZ+kX[až$À _joAq w}bIk

§ M AR

?

R A M

O

"!

?

R !

¯#

¯&§¤²A 2Xc“‹ %$A-‹gch„Xc``F`_aoq&

¯&§¤²t\‚A[vswuqoA[ak!©b›iuqbnopkmi}|<_aw}wl­ ‹

ž Zm[v` tm[^`b'$ª[vo%²¬=€[^Z˜b<_a|‚K§8ch§ c{?;c+°)œ¦~bnq/x¢rb‡‚=_n´^bW_aw}`[^t\k¥tmsZmbnwl­

L> ?

¯±°\²³¹> ? ¯±°\²

L Ä L> ?

¯±°m²G³J> ?

¯±°m²

L C L> ?

¯±°m²G³J> ?

¯±°m²

L C L> ?

¯8°\²³J> ? ¯8°\²

L

Ä L

>@?

¯±°m²G³J>@?

¯±°m² L C L

(

)

I L> ? !

¯±°m²³¹>

? !

¯±°\² L C L

(

I L

>?

!

¯±°m²G³J>@?

!

¯±°\²

L

Ä t\sAz

Z„pIm

L

>?

¯±°\²³¹>?

¯±°\² L C L

(

I

tmsz

Z„pI1m L> ? !

¯8°\²³J> ?

!

¯±°m² L C

L

(

I

tmsz

Z„p Im

L> ? !

¯±°m²³¹> ? !

¯±°\² L`

e¥‚AbnZ\bIž [^Z\b^x

tmsz

Z„pIm

L

‰?

m?

¯±°m²

L Ä tmsz

ZnpIm

L

‰?

m?

¯8°\² L C L

(

I

t\sAz

ZnpIm

L

‰?

! m? !

¯±°\² L C L

(

I

tmsz

Z„pI1m L 5?

! m? !

¯±°m² L`

¯'„~¬õ„;2^²

e¥‚Ab‡t\bny~sbnwgiut_aoK_jq_jzk_<kmi}[^oU[vžk\‚Ab‡zZm[N[vž£t[vžk\‚b‡wubn``2_!_aoqUk\‚bn[^ZmbI`-i}o ¥t<¶[^Zm]A¶[ª_joAqK bI´ bntmš

¯\‹<Œg:~‹j²rz/¬„<† „a…¬

€Zm[v` |Nk\bnz¤‹^x"‰?

m?

¯±°m²ž [vwuw}[<¢{t˜_‡oA[vZm`2_aww£_n¢ [vžg`b<_jo™šnbnZ\[«_aoq´^_aZmi£_joA|nb{wu[<¢¥bnZkm‚=_aoª[^ZŸbnyNs_jw

k\[`f L§

M ³ § M LR ¬ — Zmilk\b+* A„ M ¬*e&k‡i}tb<_at\­Ukm[ªtm‚[<¢ k\‚=_jkŸ tmsz

I

sr

? K ? rs h L§

M ³ § M L Ä j‰C*

K'O

¬

e¥‚~st<x%ž [^Z¨_aop­tmsZ6|ni}bnoNk\wl­w _jZm]^b›z[vtmi}k\il´pb &PxÀ

_joq[2 4 j}4 ‹vxG_aoqž [^Z¨_aop­i}oNk\bn]^bnZD?;c,$x¢rb

‚=_n´pb‡©p­¯'„~¬}‹“…p²r_aoq¯'„~¬}‹F:p²¥[vž|pk\bnz¤„XŸ

-..

/..0

tmsz

t

? m?

Š r?

K ? rs h t\sAz

Z„pIm

L

‰?

m?

¯±°m²

L < ¯-& C1² % f¨¯njlC2*

K'O

²3

..4..

5

Ä -..

/..0

t\sAz

t

? m?

Š

r?

K ? rs h tmsz

Z„pI1m

L ? m?

¯±°\²

L < & t\sz

Z„pI1m

< ?

m?

¯±°m²C K M tmsz

Z„pIm

? m?

¯±°m²

T 3..4..

5

Ä † K

*

**j‘C ‹ `

(15)

ˆoAq2tmi}oA|nb tmsz

I

s-r

? K ? rs h L§ M=P

P O

³À§

MHP L

Ą

K

M=P P O

x¢¥bS‚=_n´^b

-..

/..0

tmsz

t

? m? Š

r?

K ? rs h tmsz

Z„pI1m L ?

! m? !

¯±°m²

L

<:¯À

C2²

% f

„ MHP P O 3..4..

5 Ä †

K

!

„ MHP

P O c

tmi}o|nb tmsz

I

s-r

? K ? rs h L§ MHP

P O ³ §

MHP L Ä „ K

MHP P O

x¢rb?‚_I´pb‡tmi}`i}w _jZmwl­

-..

/..0

tmsz

t

? m? Š

r?

K ? rs h tmsz

Z„pI1m

L

5?

! m? !

¯±°m²

L

<:¯À

C2²

% f

„ MHP P O 3..4..

5 Ä †

K

!

„ MHP

P O `

—

‚bnoA|nb^xA©p­¯'„~¬õ„;2^²Ÿ¢¥b?‚_n´^bŸ

-..

/..0

t\sAz

t

? m? Š

r? K ? rs h t\sAz

Z„pIm

L ? m?

¯8°\²

L

<:¯-& C1²

%

f›¯„j‘C1*

K'O

²C5„

L

(

I

¯À

C2²

% f

„ M=P

P O 3..4..

5

¯'„N¬„N‹j²

Ä † *

**j‘C ‹ K

C ‹<… * L

(

)

I „ K ! `

YskSÀ

A „ $…C&

R

_aoq * tms|‚Uk\‚=_jk‡„ * ¿ aE j‚< *Wx¢‚bnZmb i}t?_¨z%[vtmilk\i}´^b‡|n[^ot\k_aopkkm[©b

tmzbn|nilœAbnqUw£_jk\bnZ“¬Ae¥‚Abno

‹“…%*

L

(

I „ K

!"P"R

Ä

‹<…

j L

(

I

¯„;E j²

K

PQR

A

j K

PQR

c

¢{‚AbnZ\b

A ‹“…

L

(

I

¯'„gE j²

_aoq

¯-& C1²% f›¯njlC1*

K'O

²C „ L

(

I

¯À

C2²

% f

„

M=P P O

Ä ¯-& C =²% f¨¯nj C1*

K'O

²'C„ % f j

L

(

I %

„)$@C2

„ C&

L

(

)

I ‹

„

Ä ¯-& C =²

%

f¨¯nj C

„j

²C „ % f j

M> C & T

A j & M% f¨¯\‹¶C „gE C „ $E ²

T C % f¨¯ C „ E C „s> E ² lc

¢{‚AbnZ\b

> A L

(

I %

„)$C2

„

_aoq ˆA

L

(

I ‹

„ `

(16)

%bIk\k\i}oA]UoA[“¢ JA & M%

f¨¯m‹C5„gE DC„ $E ²

T C %

f¨¯ C „ *E C5„;> E ² ¢¥b™]^bIkW©p­ ¯'„N¬„N‹j²

k\‚_<k

-..

/..0

t\sAz

t

? m? Š

r? K ? rs h t\sAz

Z„p Im

L

‰?

m?

¯±°m²

L

<j 3..4..

5 Ä †

j ¯ŒE^„ C ‹j² K/O K

PQR

C

j K

PQR

A ‹

j K

PQR

M† À¯ ŒE^„uC ‹j² K'O C T

Ä j K fK

P R P c

¢{‚AbnZ\b?k\‚b‡w _jt\k˜i}obny~s=_aw}ilk'­ªž [^w}w}[<¢{t¥ž Zm[v`

&aA

¨³

%

f›¯ lC „ *E C „;> E ²

% f¨¯\‹C5„;E C „ …E ²

<

›³

%

f

f=C2"E^„

<Æ2]c

¢{‚Ai}|‚/xgiuo¤kmsZmo/xgi}t!k\Zmsb›ž [^Z¨i}ot\k_ao|nb™ž [vZ›_jwuw–< „ %

f(_aoq _joN­]^il´pbno1 ¿ 2ºzZ\[<´i}qbnq i}t

w£_aZm]vb{bno[vsA]v‚g¬Ner‚i}tzAZ\[<´pbnt{¯'„N¬u‹“Œp²G¢{i}k\‚ a< „ %

f›x^¢{‚iuw}brilki}t)k\Zmil´i£_aw}wl­‡kmZ\sAbrž [vZŒx¯32]ch„

%

f!²x

tmi}o|nb^xiuoªkm‚b‡w£_jk+k\bnZ{|<_jtmb^xk\‚Ab‡Z\iu]v‚Nk˜‚=_aoqºtmi}qb?[ažr¯„N¬u‹“Œp²Ÿi}trw _jZm]vbnZ˜k\‚=_aoº[^obSž [vZ ©i}]«bno[vsA]v‚g¬

‘ ¹”¬

¬ — b‡bnoq2k\‚Ab!zZm[N[vžP[vž)e¥‚bn[^Z\bn` †«©N­ªt\‚A[“¢i}o]›k\‚=_jk

w}i}`

h/w

I h ³ % f$j

j w}[^]A¯\‹fE j² Ä %

„$f _~¬t“¬ ¯'„N¬„v„^²

¢{‚AbnZ\bªA `2_j¦$y

%

f c“‹fE

% f | ¬

e¥‚Ab?zZm[~[aži}t{t\iu`i}w£_aZ)k\[«k\‚=_jk{[vž % bI´N­ t˜k\‚bn[^Z\bn` ¯8tmbnb‡b^¬]A¬Ÿtj¶[vZm]A¶[_joAqº bI´ bntmš«¯\‹<Œg:~‹j²¥zg¬„a…p²¬

€[vZ{b<_j|‚ ¿

2x¢¥bS‚=_n´^b

h ³ %

f$j

j ˜wu[v]¯\‹fE j²

< % „f=C2

!

A y h

<Rj¯ % f‘C % ¯% „fÆC² w}[^]A¯\‹FEj²\²

| `

—

b_azzwl­¨i}obny~s=_aw}ilk'­¯'„~¬}‹<Œp²P[vž|pkmbIzª¢{ilk\‚5A

%

fwC % ¯

%

„fC ² wu[v]A¯\‹fEj=²)_aoq›¢¥b˜[^©k_ai}o

y h

<j | Ä j bI¦~z

³

¯% „ f=C²

R

„f=C

wu[v]A¯\‹fEj=²

!

Ä1\j c

¢{‚Ai}|‚›iutGk\Zmsb{_attm[N[^o™_at ¿ 2i}ttmsZ6|ni}bnoNk\wl­!tm`2_jwuw=¯

R P

R P < ‹*C gž [^Z GtmsZ6|ni}bnopkmwl­Wtm`2_aw}w ²h¬

eG_szvbk_

¿

‹fE _aoqXwubIk jªA j A

K q ¬=e¥‚AbnoX¢¥bS‚=_n´pb

L

(

O

h

³ % f j

j ˜w}[^]A¯\‹fE j ² < % „ f=C

! Ä L

(

O

K q

4=b

_aoqXkm‚bW¡Ÿ[vZmbnwr_aopk\bnwuw}iw}bn``2_?i}`zAw}i}bntŸk\‚=_jk

w}iu`

w L h ³ %

f j

j ˜w}[^]¯m‹FEj

² Ä % „ f=C2 _¬t<¬

(17)

%bIkstrkh_fz^bDj

P O

4j8Ä j

¬=er‚bno/x=_aw}`[^t+krt\sAZ\bnw}­

w}iu`

h/w I h ³ % f $j

j ˜w}[^]¯m‹FEj=² Ä wui}`

w L h ³ %

f$j

P O

j P O ˜w}[^]¯m‹FEj

²

A wui}`

w L h ³ %

f$j

j

{w}[v]A¯m‹FEj

² j

j P O C % f%¯„j

³3j

P O ²

j P O

˜w}[^]A¯\‹fE j ² !

Ä % „f=C _¬t<¬

ž [vZ?_aw}w ¿ 2«_aoqX¢‚bno|nbS¢¥bS‚=_n´pb«¯'„~¬õ„v„^²¬

º¾

‘ ¹ –

i}ož8_a|Ik“x¢¥bSzZm[<´^bnqU_!w}ilk\k\w}b`ª[vZmbk\‚=_aoUe¥‚bn[^Zmbn` †Axt\iuo|nb¢rb[^©k_ai}obnqU_WZh_jk\b?[vžP|n[^op´pbnZ

]^bno|nb^xAo=_a`bnwl­ h

A«¯nj˜w}[^]A¯\‹fE j²+²¥ž [vZ jª» 2 P ¬

¬w)-›š)1šp+’( (*) y’(g&/.V’)1“[œ

eoXk\‚iut˜tmbn|Ik\i}[^o/x¢¥b‡|n[^otmi}qAbIZ_joX`2¡Ÿ` tms|‚2k\‚=_jk˜km‚bWµW¶[^w}qbnZrž soA|Ik\i}[^oK§ ´^bnZmilœ=bntŸ

2 4§¯±°\²u4 `iuo=¯\‹gc ­ ²)ž£[^Z˜b<_a|‚U°¶<Æ2¬

|Niuo|nb`2¡Ÿ` i}t¥_‡o[^ot+kh_<kmi}[^o=_jZ\­«zAZ\[~|nbnt\t<x^¢¥b?_jZmbo[vkŸi}oNk\bnZ\bnt\k\bnqiuo[v©k_jiuoi}oA]!]^w}[^©=_jw=zZm[^zbnZ+kmi}bnt<x

©skŸZ_jk\‚AbIZŸw}[N|<_aw=[vobnt<xpbnt\zbn|ni _jwuwl­›|n[voA|nbIZmoiuo]‡km‚b?µW¶[vwuqbnZbI¦~z[^obnoNkr_<kŸb<_a|‚°u<Æ2›¬~€[^ZŸk\‚bt_sz^b

[vž˜o[akh_<kmi}[^o=_jw¥tmi}`zwui}|nilk'­px=wubIkWst!ž£Zm[^` o[<¢ [^o qbnoA[ak\b2©p­ ¯Y³

Z

²?k\‚bZmbnqs|nbnq `2¡Ÿ` ¯W ?‡¯8°\²+²‘A

¯W

?“¯±°m²+²ž [vZ{°u<Æ2~¬

’

¾*¬¾

 £‘

££¾'¢

°

>!d\{\g0†"†ahª‹qs†0V0;˜o\qsr*0ryk*qsk]†Sn"k]r/oqsr=ƒp‚¯r/Qƒ‰nqs¨°a< 2”r°³» < Z

†"k*o"!a0!yhs'nqs‘hsryS°< 2 ³ ZPh

³¹³

Z

j

?

³m³³^»

h/w I

:¯Y2XcH<

R

Z

²`

D!Z! |Niuo|nb›km‚b™zZm[N|nbntmt«¯3³

Z ² Z*I

i}t

Á

_astmt\i _jogx%©p­¤km‚b™k\‚bn[^Zmbn`[vž %bI´~­ ¯8tmbnb«b^¬]¬

Á

Z\iu`

`bIk+k?_joAq{|Nk\i}Zmš<_fz^bnZ!¯\‹“Œ^Œp„v²˜zg¬}‹/]v„^²x¢rb!zAZ\[<´pbSk\‚bW|I[^op´pbnZm]vbnoA|Ib¨iuoºqiut+k\Zmiu©sk\iu[voU©p­2tm‚[<¢{iuo]«k\‚b

ž [vwuw}[<¢{iuo]¨k'¢¥[™t+kh_<k\bn`bnoNk\t<¬

¯\‹j²TK›¯

´

K ´

h

²³m³³^»

h/w I 2~x

¯'„^²TK

0 ´

K ´

*

h 4

³+³A³Y»

h/w I < R Z ¬

¯\‹j²2e¥‚iut˜t\k_jk\bn`bnopk˜i}t{[v©N´~iu[vst<¬

¯'„^²2¡­?tmzw}i}k+k\i}oA]¥k\‚b)bI¦~zbn|Ik_jk\iu[voWi}opkm[rk\‚Zmbnb)`bn`›©bnZmt_aoq‡qbnoA[ak\iuo]€<

R

Z A D… ?

0 ZPh

K Z

h

4

¯±¢{‚Ai}|‚ºiut˜i}oAqbnzbnoqAbIoNk{[vžj=²hx¢¥bS‚=_n´pb

K

¯3³

ZPh

³J³

Z ²R

j R

?

A K ¯ W ?

¯±°C j²P³ W ? ¯±°C j=²\²

R

j R

?

C < R

Z C

„ K ¯W

?

¯±°C j²³

W

? ¯8°C j=²+²¯

W

? ¯±°C j²³

W

? ¯±°\²\²

j R

?

`

—

bWt\‚A[<¢ km‚=_jk˜k\‚bSk'¢¥[™bI¦~zbn|Ik_jk\iu[voAt˜kmbIoAqt{k\[ª2~¬

(18)

;

|NbIk+k\iuo] † ¿ 2~x¢rb‡|nw£_ai}`ºŸV!Q Q;V†"V† ­ I ¿ 2†kyo!ŒV!hs'nqs$Qhpo"! j8x¯Y2XcH†I²lhsr/ƒ

°¶x

M

2]c=†³3j

T

v¶!hs;

K MW ?

¯8°C j²³ W ? ¯±°C j=²TR

j R

?

Ä ­ I j R Ç KR

?

` ¯&~¬u‹<²

—

ilk\‚2k\‚Ab‡o[vk_<kmi}[^oU[vž)e¥‚bn[^ZmbI` †™_aoqº©N­K¯'„N¬u‹2p²xA¢¥b‡‚=_n´pb

K«¯

MW ?

¯8°C j²³

W ? n¯±°C j=² TR

²¯A k… ?~¯ ? m?

¯8°C j²+²

ÄRf L§ ZPh

³ § Z LR `

¡­ªqbIœAoi}k\i}[^oX[ažŸ§ ¢¥b‡]^bIk‡¯&¬}‹j²¬

; —

b‡‚=_n´pbDK›¯+¯

W

? ¯±°1C j²³

W

? ¯8°\²+²

R

²A ?- j R

?

x¢{‚AbnZ\b!§ ³» ? i}t˜qAbhœ=obnq

i}o |pk\bnz5‹![ažkm‚b¨zZm[N[vž)[vžre¥‚Abn[vZmbn`(†¬e¥‚~st<x©p­{|~|‚p¢{_jZmš‘e'obny~s=_aw}ilk'­_joq ¯&~¬u‹<²

¢¥bS‚=_n´^b

K ¯W

?

¯±°C j=²³

W

?-I¯±°1C j²+²m¯

W

?<¯±°C j=²³

W

?I¯±°m²+²

j R

?

Ä K N¯

W ?

¯±°C j²G³

W ?-

¯8°C j²+²

R Q K5¯+¯

W ?

¯±°C j²³

W ?

¯±°\²+²

R ²

j R

?

Ä ­ I

?5jÇ

K

?

³»¾2™_jt€jŒ» 2]c

¢{‚iu|‚X|I[^`zwubIk\bnt¥k\‚b‡zAZ\[~[až[vžŸ¯„v²h¬

¯&p²2eg[bnoqUk\‚b¨zZm[N[vž¢rb‡t\‚A[“¢ k\‚_<k°³» < Z

iut{|n[^opkmi}oNsA[vsAt“¬ye&k?iut{tmsZ6|ni}bnopk{k\[zZm[<´^b!k\‚=_jk

°³» < R

Z

i}t{|n[voNk\i}o~s[^st<¬

€Pil¦X°S<~2_aoqj

¿

2¬ %bIkº©b!tms|‚¤k\‚=_jk°C˜<º2¬

—

b¨t\‚_jwuwg|n[voAt\iuqbnZk\‚Ab!ž soA|Ik\i}[^o

§ Ÿ° ³» § ZK h

¬)§ i}t™_µW¶[vwuqbnZ¨ž so|Ikmi}[^o ¢{ilkm‚ bI¦~z[^obnoNk

­ ¬ %/bIk›ž [vZ™|n[^op´pbIoAi}bno|nb

<

ZR A ;… ? Z

Ph

K

Z

h

¯±¢{‚iu|‚iut?iuoqbnzbnoAqbnopk![vždj²¬ — b™‚=_n´pb›k\‚Ab›ž [^w}w}[

¢{iuo]›bnyNs_jwuilk\iubIt<¬

< R

Z

P

³,<

R

Z A K ¯ W

?

¯8°C jlCA²G³

W

?

¯±°CA²\²

R

j R

?

³ ¯W

? ¯8°C j²G³

W

? ¯±°\²\²

R

j R

?

A K ¯W

?-

¯±°C j‘CA²G³

W

?

¯8°CA²+²

R ³ ¯ W

? ¯±°C j²³

W

? ¯8°\²+²

R

j R

?

³

K N ¯W ? n¯8°C j²G³

W ? “¯±°\²\²

R Q ¯ ‹

j R

?

³ ‹

j R

?-

²

A K 0

ZPhP

K

ZP

K ZPh

P Z

+

ZPhP

K

ZP

P ZPh

K Z

h

4

³3<

R

Z j R

?-

¯ ‹

j R

?

³ ‹

j R

?-

²

A K

Z

P

K

ZP

K

ZP Z +

Z P

K

ZP

P

ZK Z +

h

³3<

R

Z j R

?-

¯ ‹

j R

?

³ ‹

j R

?-

²"`

¡­|N|h‚p¢˜_aZmšSeobnyNs_jwuilk&­2¢¥b‡[^©k_ai}o$Ÿ

L< R

ZP

³3<

R

Z L Ä ‹

j R

?

K 0 ¯W ?

¯±°

CA²G³

W

?

¯±°CA²P³

W ?

¯8°

²C

W

?-I¯±°m²+²

R 4

K 0 ¯ W ?

¯±°

CA²G³

W

?

¯±°CA²C

W ?

¯8°

²G³

W

?“¯±°m²+²

R 4 C L< R

Z j R

?

¯ ‹

j R ?

³ ‹

j R ? ² L`

(19)

{tmi}o]!¯'„~¬}‹F2^²hx“k\‚AbnZ\bbI¦i}t\k+f

Z ¿ 2{_aoqBf Z+

¿ 2˜t\sA|‚‡k\‚_<kk… ?~¯ ? m?

¯±°\²\²uÄf

Z

¯&§ ³‡§K²

R

_joAq D…^?~¯‰?

m?

¯±°²+²uÄf

Z

¯&§ ³À§¤²

R

¬=e¥‚NsAt“x

L< R

ZP

³3<

R

Z L Ä „

j R

?

K 0 ¯W ?

¯±°

CA²G³

W ?

¯±°

²+²

R 4 C K N+¯

W

?-

¯±°CA²g³

W

?I¯±°m²+²

R Q

K 0 ¯W ?

¯±°

CA²G³

W ?

¯8°

²\²

R 4 C K 0 ¯W

?-

¯±°CA²C

W

?I¯±°m²G³ „ W ?

¯±°

²\²

R 4

C L< RZ j R

?-

¯ ‹

j R

?

³ ‹

j R

?

² L

Ä „ % „

j R

?

<

ZR L LR ?

C f

Z+

¯'§

ZP

³À§

Z²R C < R Z L LR

?

C f Z

¯&§

ZP

³À§

Z ² R

<

ZR L LR ? C „ MK N¯

W

?

¯8°C=²P³

W

? ¯±°\²\²

R TQ C K 0

¯'„

W ?

¯±°

²G³ „ W

? ¯8°\²+²

R 4 T

C L< RZ j R

?-

¯ ‹

j R

?

³ ‹

j R

?

² L

Ä „ % „

j R

?

<

ZR L LR ?

C f Z L LR Ç C < R

Z R

?

C f Z L LRÇ

<

Z+

R R ? C † <

R

Z R

?

C † f

Z L LR Ç C ‹“…

MK 0 ¯ W ?

¯8°

²+²

R 4 C K ¯m¯

W

? ¯±°m²+²

R ²T C

L< R

Z j R

?-

¯ ‹

j R

?-

³ ‹

j R

?

² L`

|Ni}oA|nbÀk\‚Abž£sAo|Ik\i}[^otK°³*» § Z

_joq ° ³» §

Z

_jZmbÀ|n[voNk\i}o~s[^st<x˜¢rbÀ‚=_n´^bk\‚AbnZ\bIž [^Z\b

L< R

ZP

³3<

R

Z L

³\³³3»

1w I 2¬

— b‡|<_joºoA[<¢:qAbIœAobSk\‚Ab‡t+kh_joq_jZmqº`2¡Ÿ`¥Ÿ

 X¹p¡w¢1£‘ ££¾'¢ ¦ ‘n” ¢ ¿/”A’a¿ u‘ £©&’j”=•a‘ £ ¾'¢ ”›’ ¾½5¢1£” ¢ ¾ ‘ ££¾'¢ ®F°

G¯Y³

Z² Z*I

Q‘hkkn"QhpodVqsr/h;XtuQqsv¯r*hsr qsVqsr˜hsr/ƒ$d°³» § Z

Q0†¶„‚Žq;ƒpinkXr/oqsr/h;

‹h;\hsj5d38qn\d‹qsr/r*

­~¿

2X€†"k*o!˜V!hsinqshsr*¨°l<·2”2‚4®§¯8°\²‘4 `iuo=¯m‹;c

­

²*>!rV!Q

\g0†V†‘h‰k]r* 0k*loQqsry0r*k*qskX†‹qs†"00s¶n"k]r'odVqsr™°³» < Z

†kyo!ŒV!hsV! ‹QqoQ††‡¯

Z ²

ZyI

ƒp‚¯r/Qƒ



Z A ´

0†$oQqsr*VVryk*qsk]†…hsr/ƒ sd¶†@0!ynq;0qsv¯0r S‹Qq"‹d

k… ? ZPh

³

Z

j

?

³\³A³Y»

hw I

‹g`

>! ‹QqoQ††S¯

Z ²

Z*I

0†…oQh;0\ƒ*3hsr/ƒphsQƒB˜kn"Qhpoqsr/h;*tuQqsv¯r*hsr qsV3qsr'

—

b‡Z\bn|<_aw}wP_Wwubn``2_?¢{‚Ai}|‚2¢{iuw}w%©%b?stmbIž swgiuo2k\‚b‡tmbnyNsbnw¯t\bnbWYPbnw}k\i}bnZld h;A¯m‹“Œ^Œj†~²+²h¬

— ‚bnoAbI´^bnZS±¾Ÿ

M

2Xc<‹

T » e i}t?_›|n[voNk\i}o~s[^stž so|Ikmi}[^o/x=k\‚bnZmb‡bI¦~i}t\k\t?_›t\bny~sbno|nbl±

Ÿ M 2]c“‹

T » eSx

A ‹gch„Xc```A[vžŸz[vw}­~]^[vo_jwGž sAo|Ik\i}[^otS¢{‚Ai}|‚|n[voN´^bnZm]^bIt‡sAoilž [^Z\`w}­ªk\[a± [^o

M

2]c“‹

T

¬'7X[^Zmbn[“´pbnZ<x%¢rb

`2_n­X_aoqºq[_jtmtms`bkm‚=_jk˜k\‚bS´pbnZ\k\i}|nbnt[ažGk\‚Ab!]^Z_az‚X[vžb<_j|h‚8±

_aZ\b‡[vžGk\‚b!ž£[^Zm` yv¯

cQ±

¯

²+²x

2 Ä Ä |

c=¢{ilkm‚‚±

¯32p²€Aˆ± ¯32p²¬|NbIk+kmi}o]

m Aˆ±

N

-Q

ž [vZ$2 Ä Ä ic=¢¥bW¢{iuw}wGtmbhk?ž£[^Z

|n[^op´pbnoi}bno|nb

A ¯

O m c`F``c

m

²`

Á il´pbnoK_Wz%[vw}­~]^[vo=_awž so|Ikmi}[vo˜±

_at_a©[<´^b^xA¢¥bSt\bIk˜ž [^Z˜b<_a|‚ {< „Nx

A

yK'O

( O L P O m

³

m L` ¯&~¬„v²

¥¹ ”

± Ÿ M

2]c“‹ T »6e QShlo\qsr*0r*kyqsk]†nkXr/oqsr5v¯V0!5\q‰ƒs0j5r*†"qsr ahsr/ƒ@g¯±

² O

(20)

Qlh †{0dk*r/o\lq nw‹q;m1”qsr/h;;n"k]r'odV3qsry†hs†…hp\qs;…vi!”o!ŒoQqsr*s‚X†@kXr*nqsdj lYq±Âqsr

M

2Xc<‹

T

%>!

nq;Vqsvw0r lQd†"k†S!q;ƒÃ

¯\‹j²TbVn€9 0†$o\qsr*†"YhsryV0!dr DA ‹

¯'„^²TbVn€9 0†r'qsr oQqsry†3hsr*0V!r

A ‹¶C wui}`

w L

w}[^]

w}[^]A¯X³‹<²

` ¯&~¬õ^²

— bZmbn|<_jwuwakm‚bž£[^w}wu[“¢i}o]rzZm[^zbnZ+kmi}bnt/[vžAµ?_jstmq[^Z\·Wqiu`bnotmi}[^o/xqbno[vk\bnq‡©p­

U

? ¯8t\bnb)b^¬]A¬<€A_aw}|n[^obnZ

¯\‹<Œ^Œ;2p²rz/¬„aŒp²Ÿ

bVn

O c R

cF```@0†…h AQo\qsk]r*YhpdG5†50k*r/o\‰q n†dV†QV!r

U

? L

O ! A tmsz

O s L U

? y | ` ¯&~¬†N²

qs‘hsr*‰†d

b

A{< ‹1GF¯v@!hs;

U

?*y | Ä

U y | Ä

U

y | c ¯&~¬cv²

¢{‚AbnZ\b

U

y |

¯8Zmbntmzbn|Ik\il´pbnwl­

U

y

|

²xqAbno[akmbnt›km‚bXw}[<¢¥bnZ2¯Z\bntmzbn|Ik\i}´^bnwl­Àkm‚bXszzbnZI²!©[<¦

qiu`bnotmi}[^o[až›¬=€[vZ{b“_a|‚U°

I

<}2™_aoq

¿

2xw}bIkrž£[^Z|n[voN´^bnoAi}bno|nb

ZVŠ

¯=²‚A `i}o

rZ K

Z0Š

r

§ Z x

Z0Š

¯A²{A `2_<¦

rZK

ZVŠ

r

§ Z

_aoq

ZVŠ

¯=²‚A ?^…jyf³

Z c L

°³ °I L Ä

|

¬re¥‚Ab

ž [vwuw}[<¢{iuo]›w}bn``2_¢i}w}w©b‡stmbIž swž [vZbnt\k_j©Aw}i}tm‚iuo]Wk\‚b‡oAbh¦~kzZm[vz[^tmilk\iu[vo/¬

¥¹ ”'° 0V!‰‹QqpQhpVm0qsr/"u0!yk;Qh"‹*!{qn‘0! j‘t¶j¯Y³

Z² Z*I

sd¶†…V! nq;0qsv¯0r $‹Qq

‹d¶Ã”nqslhsr*°

I

<Æ2‚hsr/ƒ

¿

„³

ZVŠ

¯=²¶Ä

U ? y

Z0Š

¯=²

| Ä

U y

Z0Š

¯=²

| Ä

U y

ZVŠ

¯=²

| Ä „?³

Z0Š

¯=²"`

¯&~¬õ…^²

D!Z!

—

bSœAZmt+k˜zAZ\[<´pbSk\‚b‡w£_at\k˜i}obny~s=_jwuilk'­ª[až¥¯&¬Ô…p²¬

‘

¹”¬ ¤A¬

—

i}k\‚[^skw}[^tmt˜[až]^bnobnZh_jwuilk&­pxA¢¥bW_at\tms`bkm‚=_jk˜°

I A ‹fE^„NxA ‹fEv„~x=_joAqXž [vZb<_a|‚Uiuopk\bn]^bnZ

¿ 2~x¢rb‡tmbhk

³ m

A¥³

ž [^Z

A¥2]c“‹gc```c ¯` ¯&~¬]v²

—

b‡t\‚A[“¢:km‚=_<kž [vZ{b<_j|‚‚2 4§ 4

Z0Š

¯A²hx¢¥bS‚=_n´^b

w}iu`

w L

¯X³ ‹j²

?

`2_<¦

O yK'O

¯ L³ P O m

³[³

m L² A 2 _~¬t“¬ ¯&~¬m:^²

— b‡t+kh_jZ\k{©N­ª[v©At\bnZ\´~iuo]¨k\‚_<k<xž [vZ?_aop­ ¿ 2«_joq˜<:‹vxk\‚Ab‘7U_aZQzv[<´ªeobny~s=_jwuilk'­2bnopkh_jiuw}trk\‚_<k

M¯2³5‹j²

?

`2_<¦

O yK'O

¯ L³ P O m

³¹³

m L² ¿ T Ä yK'O

( O M¯2³‹<²

? L³ P O m

³[³

m L ¿ T

Ä ¯X³ ‹j²

`2_j¦

O K/O

K›¯\¯X³‹<²

? L³ P O m

³[³

m L

²"`

Références

Documents relatifs

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex