Non-commutative Elimination in Ore Algebras Proves Multivariate Identities
Texte intégral
(2)
(3)
(4)
(5) !"
(6)
(7) . # >. $&%('*)"$,+ 8@?/6BAC=D0FE. G. +. -/.102.435,6 ="$H5&6E. I. 7. 8!39+. 39%(0:.;3$&%. -H8.;35D0F=J3 02.K6. QPSTVR U T R PWYX;[Z;\]
(8) ^`_baPcQdSeK
(9) gfZ. hjiHklnm m ;TpR o P W T P;qVrsrut. v w;
(10) xxJy. ISSN 0249-6399. apport de recherche. 1996. 3 %. <. =6. LJM(6N%O.;3.;36E.
(11)
(12)
(13) !#"$
(14) !% &'()%+* $, (-
(15) ./
(16) 1032 (, %. 4578:6 9 8 6 5<;>=@?)ABDCFEFGHEFI 9KJ 5MLNIPORQETSVUMB. W!XYVZ,[]\:^Z _ `cbedgfihkjVbklmfnlmfnj,opfnbeqrcstq<fnbvuwomxMj,yzf{`]s:|~}vb:ylmfnrb:oNyV`b#:j(xvrqj,h}:ofnbvuPl vjl vjVrzdPr|FM:bkfnlj a r vrcstr<bvr#f{yomj,<}vjVb:yj,o`b:h|}vb:ylftr<b:oV kf{ol vjVrzd7`xvxksftj,ofnbwx:`clmf{y}ks{`lr/bk}v)jVr}:o yr#kftb:`clrmf{`]sf{hkjVbelftlftj,o kf{o3r#xvj,omjVbkl>o`Plz vjVrjVlmf{yV`]sT`b:h-`stu<rmfnl v#f{yP`xvxvrk`y lr)l vjP#}ksnlmfnq`fi`cljwyV`ojvlrujVlz vjVfnl `b.fn)xksnjV)jVbkl>`lmfnrbT. &'() 22 ] ) % $. , (-
(17) ./P# %$
(18) . ) <
(19) ) ( P
(20) ) ( 2
(21) $%¡2%¢
(22) ¤£w"$()%2 ¥. ¦R§ Yc©ª«§ /¬ jNbvr#vjV}:omj,oFfihkjVbklmfnlvj, oM|®`fioz`belFftbkljVq<jVbk¨ ftNhkj,oM¨ |~rb:ylmfnrb:oomxj, yzf{`]snj,oxMjV}vqjVbkljV¯ ljxvr}vqjV j,o x:`3si`l jV rmfnjhkj,oom}kfnlj,o3jVl|~rb:ylmfnrb:o3M:bkftj,oDr}) vrsnrbvrj,oV°jVllzjl jV r<mfnj±oV²³`xvxksf{<}vj jVb!x:`lmf{y}ksfnjVw`´ bvr#vjh² fihkjVbklmfnlvj, o yr<wkfnb:`lzrfnj,oV3°j/l>`]q`]fsxvµj, omjVbklj/}vbvj`cxvxvrµyz vj l jV rfi<}vjPjVl±`]snur<mfnl v#f{}vj)`}yV`<o#}kstlftq`mfVj M`]fnb:of<}T²¶}vbvjPfn)xks{`bkl>`lmfnrbT.
(23) W
(24) W
(25) ¦¡Ww¦.W "!7¦
(26) # $ PW!¦ VW % &
(27) ' *( ).+, -/.+, )$02131545687:98;398<=-?>$)A@B<BCED98FGB6 HJILKNMOQPQRSMUT8V#WYXZ[]\^_X`a[]`a[]^cb[]XdeYf]d[]Xgb2h:^cij[kWlf$monSXSic`a[]eXSb8iYWpXq:^rhs2eYdt^c\
(28) nSba[]XSg#`2u^r`2u^_es2Z#epmwvyxozQX[]`2^ ets$uSepf]eXSe{r[]ib2^c|nS^cXSic^cb=WpXS\}monSXic`a[]etXbcTA~5uy[]b$`2uS^cets2ZWphShyf[]^_bw[]Xh:WYs2`a[]icnfkWps5`2eXnS{}^cs2etnbAice{rqy[]XWp`2etsa[kWlf []\S^cX`a[]`a[]^cbcT~5u[]b$ets2hs2^cb2^_X`2bW`2u^cets2^c`a[]iYWcf WpXS\Wlf]gtesa[]`2uS{[]iWphShs2eWpiju`2e`2uS^#{nf]`a[]dtWpsa[kWp`2^iYWpb2^ `2etg^c`2uS^cs=w[]`2uWpX[]{}hf]^c{}^_X`jWp`a[]eXQT B5A.5 °rxv}vljV`]snujVv>`)yrb:o fiol>o3fnb!x:jVm|~r ftbvu.yV`]s{y}ksi`clmfnrb:or<b!-`l vjV-`clmf{yV`]sTr*mj,yl>o3jVxvj,omjVbklj,h.kd-` :bkfnlj!`)r}vbkl7r|fnbk|~r-`lftr<bT yzs{`oor|±yrxv}vljVw`]snujVv`!r*mj,yl>ofioj,omxMj,yzf{`]sstd$}:oj|}ks vjVbfnlgfio x:rkoofnksnjwlzr)j,yrubkfoVj# vjVl vjV(l r)jVwMjV>or|lz vj7yzsi`<oo±`cj/f{hkjVbelmf{yV`]sr<bvrl,¬#w:jfstMjVujV7om vrj,h l :`l.` s{`u<jaomjVl)rc|wyr#kftb:`clrmf{`]sf{hkjVbklmfnlmfnj,oyV`b :j xvrqj,h¤}:ofnbvu$xvr<x:jVlmfnj,o.r|Pl vj yzsi`<oo)rc|/ bkfnlj#|~}vb:ylmfnrb:o7`cb:haoj,}vjVb:yj,o`b:hl vjftx:rl`bel7o}v yzs{`oogr| L¡kL¢Q£¤a¥|}vb:ylmfnrb:o/¦]§Q§¨ # |}vb:ylftr<b f{o/bkftlzj) vjVbl vj.omjVlPr|fnl>ogx:`lmf{`]s hkjVftq`lmfnqj,oomx:`b:o7`:bkfnljV h<fn)jVb:o ftr<b:`]s±qj,ylr<omx:`<yj)rqjVPl vj >`lftr<b:`]s|~}vb:ylmfnrb:oV °r)xv}vl>`clmfnrb:`]ssnd ` / bkfnlj.|~}vb:ylmfnrb¤f{o)hkj:bvj,h$kd` omjVl#r|sftbvj,`c h<fª©TjVjVbklmf{`]s j,<}:`lmfnrb:o}«®s fnbvj,`js{`lftr<b:oN:jVlmjVjVb)l vj(x:`lmf{`]s hkjVmfnq`lmfnqj,o¬N`b:h)`(:bkfnlj/be}v#:jV3r|:fnbkfnlmf{`]syrb:h<fnlmfnrb:oV Nzrq<fnbvul :`clw`/:bkfnlj |}vb:ylftr<bf{o
(29) VjVrzj,}kfnj,o:b:h<fnbvu` sftbvj,`c-omdvomljV'fnl)o`lfio :j,o7`b:h¤y vj,yz<ftbvu l :`l/om}U® yzfnjVbelstd -`cbed.r|Nfnl>oDftbkfnlmf{`]s yr<b:h<ftlftr<b:oP`jVjVzr: kf{oPyr)xv}vl>`clmfnrb!f{o(-`hkj7xMreoofnksnj)kd!l vj bk}v)jVr}:o3yzstrkom}vjxvr<x:jVlmfnj,o3jVb:mrd<j,h#ed#l vj/yzsi`<ooNr|5/ bkfnlj(|}vb:ylftr<b:oV}¯fn#fs{`msnd*/ bkfnljPomj,}vjVb:yj,o `j!hkj:bvj,h$`oomj,}vjVb:yj,oom}:y $lz :`l7l vj!omjVl#r|±omj,<}vjVb:yj,o#rvl>`ftbvj,h¤kdom kf|~lmfnbvu l vj)fnb:h<f{yj,o.omx:`b:o#` :bkfnljV h<fn)jVb:ofnrb:`]sqj,ylromx:`<yj7rqjVl vjP`lmfnrb:`]sT|~}vb:ylmfnrb:oV° hkjVbklmfnlmfnj,o(fnbeq<rsnqfnbvuom}:yz aomj,<}vjVb:yj,o/`j xvrqj,h.kd yr<)xv}vlmfnbvu odµomlzjV-o3r|zj,y}vjVb:yj,o/`b:h!om}U® yzfnjVbklmsnd-`bkdftbkfnlmf{`]syrb:h<fnlmfnrb:oV vjVj7`cue`]fnbT l vj)yr)xv}vl`lmfnrb r| lz vj,omj)omdµoljV-o(f{o/-`hkj#x:rkoofnksnj-kdl vj)yzsnreom}vzj)xvrxMjVlmfnj,o/jVb: rdj,hkdl vj.yzsi`<oo r|5/ bkfnljPomj,}vjVb:yj,o8° lpfiopjs sn~kbvrb)l :`lNMrl )xvzrx:jVlftj,o`zj j,<}kfnq`]snjVbklfnb)l vj}vbkfnq`mf{`ljPyV`omjq<f{` ujVbvjV>`clmfnbvu.|}vb:ylmfnrb:o° bl vj##}ksnlmfnq`fi`clj-yV`omj vrjVqjV,lz vjwj,<}kfnq`]snjVb:yjhkrkj,oPbvrl/ vrs{hfnbujVbvjV`]s `b:h¤l kf{o :`o)rlmfnq`lj,hE±pr±Mfnx:om kfnlY lr ufnqj` lj,yz vbkf{yV`]shkj:bkfnlmfnrbRr|/:bkfnljVbvj,oor|goj,}vjVb:yj,o fnb omjVqjV`]sTq`mf{`ksnj,o¦o²´³¨ vjjµµxMjVmfnjVb:yj-ue`ftbvj,h |~r'`b!fn)xksnjV)jVbkl>`lftr<br|l vj}vbkftq`mf{`lj.yV`omj¦·¶Q§¨om vr±o(l :`l/l vj#`]snur mfnl v-o}:omj,h fnb$l vj-h<fª©TjVjVbklmf{`]s±`b:h fnb¤l vj!h<fk©TjVjVb:yjyV`<omj `cj)j,oomjVbklmf{`]ssndf{hkjVbklmf{yV`]s ° lf{ol vjVj|~rj b:`l}v`]sµlzrPjVb:yr)x:`oop:rlz wbvr<lmfnrb:ofnbklrw`/)r<jujVbvjV>`]s:rbvj¸}v`]fn fioplrP-`<j j©Tj,ylmfnqj(rx:jV>`clmfnrb:o rbomdvomljV.or|¡k¤a¢¹ºQ»#¼*¹S»cºQ½2Q»p¾wyrb:ol>`]fnbvj,hor)l :`llz vjftPomrsn}vlmfnrb:oDsfnj7fnb `:bkfnljwh<fn)jVb:ofnrb:`sqj,ylr omx:`yj¿ fn>omlP`xvxvre`yz vj,o(lr-lz vj7#fªµvj,hh<fª©FjVzjVbelmf{`]sn h<fª©TjVjVb:yj!yV`omjw`cjwhk}vj#lr-¬#J:jfsn:jVu<jV¦]§Q§¨N`b:h ÀT``]de`-` ¦]¶QÁ¨
(30) Âj#}:omj¸jx:rsndkbvr#f{`]s{o#`b:h omjV x:rcstdkbvr#f{`]smfnbvueoPlzr`]s{omrhkj,`]sfnl ÄÃ]~j,<}:` lmfnrb:oV`b:hbe}vjVr}:o/rl vjV/sfnbvj,`j,}:`lftr<b:o/fnbx:omjV}:hkr hkjVftq`lmfnqj,oV. vj)omrsn}vlmfnrb:ogr| l vj,oj odµomlzjV-o fssT:jPyV`]sstj,h!JÅ·Æ ¢¤a½2¹,BÇrjVqjV,<bvrbvjr|Tr}v`]snurmfnl v.o hkj,`sio3fnl l vj,omjP::bkfnljPomrsn}vlmfnrb:o8° b:omlzj,`h l vjVdhkj,`]sfnl ȸj#x:rsndkbvr#f{`]s{o# kf{yz yV`bMj#fnbeljVzxvjVlj,h`o/r<x:jV>`lzr>o/`bvbkfn kf s{`lftbvu l vjV° bkfnlmf{`]s yrb:h<fnlmfnrb:ogl vjVj|~rjPsfnj#r}vl>of{hkj#r|l vj#oyrxMjwrc|r}v`stu<rmfnl v-oVÉ° b:hkjVj,hF|r/j,`yz lmdkx:j7rc|¸j#x:rsndk bvr#f{`]s{oV fnbkfnlmf{`]s yrb:h<fnlmfnrb:o/j,<}kfnj)omx:j,yzf y#`]snurmfnl v.o±`b:h`)omxMj,yzf ywftxkstjVjVbel>`clmfnrbT°b¯j,ylmfnrb3² ¸j!xMrsndebvr fi`sio.`jfnbelzrµhk}:yj,h `b:h¤l vj!`]snurmfnl v fiy lrkrs{o7lzrarzfnl $l vjV¡`j.xvrq<fihkj,hÊPo À ``]de`c-`#bvrlmf{yj,h fnb l vjwh<fª©TjVjVbklmf{`]sn h<fk©TjVjVb:yj!yV`omj`b:h `o(`ohkjVqjsnrxMj,h ed#$ËP`b:hkmfnjÌrvhkd Í.
(31)
(32) !#"%$. ` b:h'&#$Âjf{omxk|jVbvbkfnbvu fnblz vjwrj#ujVbvjV>`]s ojVllmfnbvu!r| xMrsndebvr<#f{`]s mfnbvueo/rc|Domrsnq`ksnj-lmdkx:j¦o²S§¨ )(3}:yz v :jVzujV,²³oN`]snur<mfnl v |r<*»,+ -y¢¹».-Yº´¾¹y¾DyV`b#Mj±`hv`xvlj,h lr±lz kfiopbvrbv yr)#}vl>`clmfnqjyrbelzjµµl, vj,omj:`<omj,o |~}vbkf{om -bvr<-`]sv|~r-oN`cb:h)`b)`]snurmfnl v |r<Njs fn#fnb:`lftr<bT}° b¯j,ylmfnrb¶vj}:omj0/±2r1 vbvjVN:`<omj,oNlrP.`j omrj!r|lz vjayzsnreom}vjxvrxMjVlmfnj,o)j©Tj,ylmfnqj ÂR vjVb ftbkljVxvzjVlj,h¤fnb lzjV-o#r|7M:bkfnlj!|~}vb:ylmfnrb:oV(l vj,omj yzsnreom}vjxvrxMjVlmfnj,o±yr<j,omxMrb:h.lr-yzsnreom}vzj7}vb:hkjVP`hvh<fnlmfnrbT:xvzrµhk}:yl±`cb:h!x:omjV}:hkr hkjVftq`lmfnqj ° b ¯j,ylmfnrb§vjujVbvjV>`s foVjPlrl vj±yrbkljµvlNr|8¸j/x:rsndkbvr#f{`]s{o3l vjfn)xMrl>`cbelNrxMjV>`lmfnrb.r|r¥S»c¹ºQ½24¤ 3S¹ ½2¹S¡ª¹y¾¥¼A¤a¢ 5<e( kfiyz .`j,o3fnl/x:reoo ftksnj#lr-yr<)xv}vljwhkj:bkfnlj)om}v.o`b:h.fnbkljVu>`sior°bl vj#omx:j,yzf{`]syV`omjPr| l vj
(33) ÂjVdsN`]snujVv>`« h<fª©TjVjVbklmf{`]sj,<}:`lmfnrb:o¬vl kf{o±`stu<rmfnl v fio(u}:``belzjVj,h.lr)om}:yVyjVj,h |r/`)om}v yzs{`ozor| omdvomljV-o/rc| j,<}:`lmfnrb:o7yzs{`ozof{yV`]sstd$yV`]ssnj,h3UQ¡ªQ¢Q£¤a¥,._r<jVrqjV, f |±` |}vb:ylmfnrb fioM:bkftlzjlz vjVj)jµkfiol>o `. vrsnrbvr fiyomdµoljV `bvbkfn kfsi`clmfnbvu fnl¦o7² 6:¨ Ìj,om}ksnl>oPr<vl>`]fnbvj,h kda vrcstr<bvr#dayV`b`]s{omr:j#l>`b:o si`clj,h lr j,om}ksnl>o(|~rPomj,<}vjVb:yj,oPq<fi`.u<jVbvjV>`lmfnbvu|}vb:ylmfnrb:o/¦]§Q§¨ ° b l vj#ujVbvjV`]spyV`<omj7r|¸j7xMrsndebvr<#f{`]s{oV j#hkr bvrl :`]qj#`)yrzj,omx:rb:h<fnbvu!bvrlftr<br|N vrsnrbvr#d vj#`]snurmfnl v-o(jPufnqjP|~r±yzj,`lmfnqj7lzjstj,ozyrxkfnbvu`j l vjVj|~rj#bvrl/u}:``belzjVj,h!lrom}:yVyjVj,h
(34) Âj#ufnqj#lmr-om}:yz `]snurmfnl v.oV7 vj:>oml/rbvjf{o7osnr v}vlPfs s `]sn`]dµolzjV#fnb:`lj« o}:yVyj,oo|~}ks sndr±hkjVlj,ylmfnbvu.l :`ll vj#`]snurmfnl v :`<o3|®`f snj,h.¬>Ml vj#omj,yrb:h.rbvjgfioD| `omljV v}vl-`]d|®`f slr#ljV#fnb:`lj (s s7lz vj,omjrxMjV>`lmfnrb:o!`zjfssn}:oml>`clj,hkd jµ:`)xksnj,o }:ofnbvu ¿/° kd ,`c ²³o fn)xksnjV)jVbkl>`lmfnrb ¦]Á¨ Í "°b yrb:yzsn}:ofnrbTMjPj,yV`]ssl vj7omxMj,yzf{`]spyV`<omjPr|8ÂjVds`]snujVv`oVv vjVzjP)rjPrxMjV>`lmfnrb:o(`j/x:reoo ftksnj)`b:h.j h<f{oy}:oo(jVbeq<f{ofnrbvj,hjµµlzjVb:ofnrb:oV ² 98,:cA<;=;>*5@?<AB><CEDFAG.>IH<J<KA*>*58 H ²o²<& ¨LNM)O Z OQP)M YR¸7ɸj¦]¶TSS¨Dftbkfnlmf{`lzj,h `cb `]snujVv>`fiy lj,`lz)jVbel#r|7` qjVzdujVbvjV`]syzs{`oor|/s fnbvj,` rxMjV>`lrobvryV`]ssnj,hVU»c¹¼¹S»cºQ½2L»Y¾V5Âj3ufnqj `(osftu< elmsndj,omlmf{ylj,hhkj:bkfnlmfnrb#l :`l:l>o r}vTbvjVj,hvo« omjVj¦ª³¨ |~r7l vj.ujVbvjV>`s(yV`<omj:¬>¯fnb:yj`]ss±`]snujVv>`or|fnbkljVj,oml#lr r}v#oml}:hkd`zj om<jV `]snujVv>`<o7rc|Dr<x:jV>`lzr>oV j-`hkrxvlPlz vj-yrbkqjVbelftr<bl :`lPl vj r<>hvo»t¤a¢ 5´¾-`b:hÆ}¹SX¡ W:¾-`]sn`]dµo/j|~jVPlrx:reoo ftksndojV«mfnbvueo`b:h :js{hvoV8ÂjomxMj,yzf|d¥Q£Z£ Y ½2ºL½2
(35) ¤ 3¹#»t¤a¢ 5gr¥tL£Z£ YU½2ºQ½24¤ 3S¹BÆ ¹X¡ W7 vjVbbvj,yj,oo`dN_rjVrqjV]`]ss:mfnbvueo}vb:hkjV yrb:of{hkjV>`clmfnrb!fnblz kfio(x:`xMjV±`jPr|yz :`>`yljVfiolmf{[y Sv `ksnj ²#ufnqj,ogjµ `c)xksnj,o7rc| l vj)lmdkx:j)rc|Dr<x:jV>`lzr>o/j-yrb:of{hkjV,(ss l vj,omjrx:jV>`clr>oPom :`cj-`.qjVd ofn)xksnjayr<)#}vl>`lmfnrb¤}ksnjr|/l vj!q`fi`ckstj $fnl $xMrsndebvr<#f{`]s{o#fn] b \ kf{o#z}kstj f{o#l vj!:`of{o#rc|±l vj hkj:bkfnlmfnrb r|omjVxMrsndebvr fi`smfnbvueoV & T¨ L^M)O Z OQP)M`_ R#±jVl aMj `cb.ftbkljVu`]sphkr<-`]fnbTvf ¶jivmfnbvu-Dftlz abvr/VjVr h<fnqf{omr<>oV±D vj!¾ b2¹ c ¼QX¡ d:¢L£¤aºQ¡ »¤¢ 5a¦³f ehgihj¨f{ol vj!mfnbvu¤r|xMrsndebvr<#f{`]s{o#fnb fnl Ryrej®!yzftjVbkl>o fnk b a/fnl }:o}:`]s`hvh<fnlmfnrbR`b:h$` xvrvhk}:ylhkj:bvj,h ed!`oorµyzf{`lmfnq<fnl d.|~r l vjg|rcs snrfnbvu!yr)#}vl>`lmfnrb.}ksnj l,mon a «t²:¬ mZp gB« m ¬ r qsjL« m h¬ t Ç(jVj g f{o`bfnb: j,ylftq<jmfnbvu7jVb:hkrrxv kf{om«rc | a `b:Zh j±` g hkjVftq`lmfnrbT<f ¶jn`b)`hvh<fnlmfnqj(jVb:hkr)rxv kf{om rF| a kf{yz ao`lfio :j,ol vjP|~rssnrfnbvu±jfnvbkfo)}ksnj u l,m i!v n a «_¶U¬ jL« m v¬ p gB« m w¬ jLw« v# ¬ qsjL« m w¬ vxt Phvh<ftlftr<b:`]sstd) jwfio(`oom}v)j,h lr)yr)#}vljPfnlV gp ¬/jVujVjDftb`b:h.yrej® yzfnjVbkl>o`jPhkj:bvj,h!`opfnb-l vjPyr)#}vl>`clmfnqj±yV`omjkl vjPyrkj® yzfnjVbel>oD:jfnbvu)rb.l vj snj|lPof{hkj7rc|l vj7rbvr#f{`]s{oV y ~5uS^8h:WYiNtWpgt^cbB{ ^cX`a[]eXS^c\#[]X#`2uy[]b=Wps2`a[]ijf]^Wps2^rWcdtWl[fkWYqyf]^ qZWpXSeXZ{}etnbBm `2hÉmos2et{{z7|!},~2xh~4z! w7%2%7777!!|2h7!!2h}72!!2 es=WY`J`2uS^r@B)50F 2|7|!}, 7!7h2!77!~2x%~@z72!7!7!72%xh!7h72!hh~Q7|!T.
(36)
(37) NT @$ "x N @#
(38) # N " @$x # @ . Bµ:`)xksnj,o(r|om<jVx:rsndkbvr#f{`]sNmfnbvueo/`jPufnqjVb.fnb`ckstj²B° b `]ssl vjwyV`<omj,o}vb:hkjVPyrb:of{hkjV>`lmfnrb fnb l kf{ol>`ksnj)a f{o7rc|Djfnl vjVg|r<
(39) ¦ \ ¨r
(40) }«_ÃL¬t¦ \*¨fnl
(41) H` :jsih (3d`ozomrµyzf{`lftq<fnlmdzjsi`clmfnrb3«t²:¬/l vjVb fnb:hk}:yj,o Í l ² «_§U¬ jLw« \:¬ p jLw« \w¬ gBw« \w¬ \ Í t k}:o g `b: h j7`cj7yr)xksnjVljsndhkjVljV ftbvj,h ed.l vjfnq`]sn}vj,or b \T¸bvj7j,`orb)|~roml}:hkd<fnbvu)l vj,omj7ojV x:rcstdkbvr#f{`]smfnbvueo f{ol :`lNrxMjV>`lmfnrb:o( kfiyz )yV`b)Mj xMjVm|~r)j,hgfnb)l vjV bvjVj,h#r<bkstd:jfn)xksnjV)jVbklj,hrb:yj `b:h lz vjVb`xvxksnd j,}:`]ssndlrsfnbvj,`)h<fk©TjVjVbklmf{`]sj,}:`lftr<b:oVsfnbvj,`)h<fª©FjVzjVb:yj)j,}:`clmfnrb:oPrPlz vjftÃ] `b:` snru}vj,oV vjp|rssnrfnbvuPxvrxMreofnlmfnrbPf{oNhk}vj3lr±lz vjjµkfioljVb:yjr| `/hkjVujVjp|}vb:ylftr<b `cb:h/snj,`hvolrlz vj#}ksnlmfnq`mf{`lzj yV`omj !7[ PfP Y O Z OQP)M _ R¦ ³c xT§ :¨"!5 ¹'h¾ b:2¹ c¼*QX¡ d:¢Q£¤aºQ¡5»¤¢ 5[a¦ I e!gihj¨}¤o¾ºQ¢¤a¢½2¹ 5Q»cºQ¡ WQQ£ºQ¤a$¢ # (3dyz vrereo ftbvu`xvxvzrxvmf{`ljfnbeljVu<>`]sDhkr<-`]fnb:Z o aj yV`cb}:omj.l kf{oxvrxMreofnlmfnrb¤fnb yrb:m}vb:ylmfnrb$fnl ¬/j:bkfnlmfnrb3²7lzr-yrb:omlz}:yl±q`mfnr}:o/#}ksnlmfnq`mf{`lzj ojVKxMrsndebvr<#f{`]sftbvukoV#¯jVqjV`]src|l vj,ojwyz vrf{yj,o/fs s :j}:omj|~}ksTfnbl vj7omj,<}vjs }° b!x:`zlmf{y}ksi`c,:jP :`]qjPl vj/|~rssnrfnbvu)fn)xMrl>`bkl±omxMj,yzf{`]syV`omj,o & T¨ L^M)O Z OQP)M&% R#±jV' l
(42) 'Mj` :js{h) ( p « \ i2tt2t%i!\ ¬ `cb:+ h * p -« , i2tt2t%i,/.y¬#l}vxksnj,o!r|)yr)#}vl>`lmfnqj q`cmf{`ksnj,oVr±jVl`]s{omr10 p « Í it2tt%i>32¬T:j/`b54]Í~l}vxksnjr |q`mf{`ksnj,o3l :`lÍ yr<)#}vljx:`]fnf{omje`cb:h)om}:yz )l :`l l vjPyr)#}vl>`lftr<b-r|Tl vjP3 6²³oNfnl !lz vj±jsnjV)jVbkl>or)| a p
(43) }w« \ Í i2tt2t%i!\ ¬t7¦ , Í i2tt2ti, . ¨Mfio3}ksnj,h.kd)js{`lmfnrb:o r|lz vjPl dkx:j
(44) «t²:¬|~ryrj,ox:rb:h<fnbvu g 6 ²³o`b:h j 6 ²³oVN vj7ojVRx:rsndkbvr#f{`]smfnbvuoa¦ Í ehg Í i!j Í ¨888Y¦³32Ee!g922i!j2Y¨ f{o#yV`]sstj,h$`cb U»c¹ºQ¡ 5QE¹ -y»cº°l7f{ohkjVbvrlj, h
(45) :« (8¬t;¦ *B¨j7¦ 0=e=<i?>*¨ - vj!omxMj,yzfi`s(yV`<omj) vjVb {p S f{o7yV`]ssnj,h$` ¼L¡ d:¢.Q£¤ºQ<¡ U»_¹ºQ¡ 5LE¹ -»cºv`b:h l vj7omxMj,yzfi`spyV`ojP vjVb à p Sf{o/yV`]sstj,h `»cºQ½2¤aQ¢ºQ<¡ U»_¹ºQ¡ 5LE¹ -»cº @BA:ºQ£É¼A¡ª/¹ #ÉÂjVd<s`]snujVv>`< o
(46) ¦ \ i2tt2t%i!\9C:¨j¦³3 D e² i>3 D ¨ 888Y¦³3 DEe² i>3 DE¨±`j `omx:j,yzf{`]swyV`<omjr|Px:rcstdkbvr#f{`]s ¸j`]snujVv>`<oVrvl`]fnbvj,h ( vjVb Í `s sPrxMjV>`lry o-`zjy }:om}:`]s7x:`clmf{`]s7h<fk©TjVjVbklmf{`lmfnrb:o"«m vj q`mf{`ksnj3DF jVxvj,ojVbel>oDl vjP}:om}:`]sh<fª©TjVjVbklmf{`lmfnrbrx:jV>`clrfnl !zj,omx:j,yl/lr \6 ª¬ @BA:ºQ£É¼A¡ª/¹ #É° b G/« m ihv¬t;¦ Hfih\ ¨jJ¦ I C eKI C ihS:¨j¦ D e² i> D ¨ < vjV"j I C hkjVbvrlzj,olz vjom kf|~lrx:jV>`clrDftlz !j,omx:j,yllr H `b:h! D hkjVbvrlj,o/h<fk©TjVjVbklmf{`lmfnrb!Dftlz j,omxMj,yllr \ kl vMj L`<yrkfTx:rsndkbvr#f{`]s{o#" C NPOKQ RTS « \$¬`j7yV`b:yjssnj,hed « 6*¬ «t² U\ ¬ D q?w« vBU m UÊ« m q{vFq3¶Uw¬ \$¬m D qVH5W« H q m q{vFq ²:h¬ i. ¸ x:jV`lr ¬(fª©FjVzjVbelmf{`lftr<b ¯ kf|~l ¬(fª©FjVzjVb:yj Ã] ¬(fs{`lmfnrb Ã] ¬(fª©TjVjVb:yj Ã] ¬(fª©TjVjVbelfi`clmfnrb N}ksnjVmf{`b rxMjV>`lr< eKf ¬(fª©FjVzjVbelmf{`lftr<b _ ` ksnjVmf{`brx:jV>`clr. B« m ¬ jL« m ¬ °rw}vl`lmfnrb m w« \$¬ m3X «w\$¬ \ p \:Zq ² m «w\rqE²:¬ S \ p «w\9q ²:¬m m «w\rqE²:¬ m w« \rqE²:¬^U m «w\$¬¡\ p «w\9q ²:¬mZqE² m «cEà \w¬ S \ p ÃE\M m «cEà \w¬ m c« ÃE\w¬^U m «w\$¬ \ p ÃE\MZq?«_Ã_U?²:¬w\ .:D D m «cEà \w¬ \ p ÃE\MZq ² OKN . S Í ObD N S S N m w« \$¬ \ m «\$¬ \ p \:Zq{\ m w« \$¬ \ m «\$¬ \ p \:Zq{\ m w« \ ¬ S \ p \ iF>FG#CAVj9k
(47) ¸j7`]snujVv>`<o g. ylftr<b!r|p YJ«w\$[ ¬ Z\]Y X w« \w¬ YJw« \$[ ¬ Z\]YJw« \rqE²:¬ YJw« \$[ ¬ Z\]YJw« \rqE²:¬^U'YJ«w\w¬ YJw« \$[ ¬ Z\]YJ«_xà \w¬ YJw« \$[ ¬ Z\]YJ«_.:xà D \w`¬ UaD YJw« \$¬ YJw« \$[ ¬ Z\dc N N . S Í Sc D N S YJw« \$[ ¬ Z\ \ Y X « \$¬ YJh« gY[ ¬ Z\]Y X h« gp¬ w« \ p ebf ¬ YJw« \$[ ¬ Z\]YJw« \ ¬ « ¶¬.
(48)
(49) !#"%$. ¶«-H Ä q ¶U¬Y«-H q m qsv<q ¶U¬Y«c¶HZq m qsv qĶU¬?I C «-U¬ Uc«_¶ H q m qsv<q §U¬ m Uv q?«_¶Hrq m q v qĶU¬Y«_¶H q m qsv<q §U¬p«_¶HZq m q v q6 ¬w\ I C qĶU-« H q m q ²:¬Y«-Hrqsv<q ²:¬p«_¶HZq m q v q6 ¬ht kf{o.f{o l vjrbksnd fnbk|rz-`lmfnrbr<}v`]snurmfnl v-o fssw}:omjlzr hkj,`]s7fnl L`<yrkf7x:rsndkbvr#f{`]s{oV ° bkfnlmf{`]s yrb:h<fnlmfnrb:o(#}:oml:jlj,`lzj,h!omjVx:`>`lzjstdµf |NbvjVj,hkj,h @BA:ºQ£É¼A¡ª/¹ #/ vj¸j#`]snujVv> ` G/«_ÃL¬tJ¦ HIià C ¨j¦ IC eKICihS:¨fnl !lz vjwyr)#}vl>`clmfnrb-z}kstj I C H «cà C ¬ p -« H q ²:¬ à t«_à C ¬ IC f{o jssn om}kfnlj,h |~rwyjVzl>`]fnb Ã] yrxv}vl>`lmfnrb:oV «_Ç(jVjà C #}:omlP:j.q<ftjVj,h¤`o7`cbfnb:hkjVljV ftb:`clj e`!rj |~r-`]shkj,oymfnxvlmfnrb¤C r}ks{h :jlr)fnbklrvhk}:yj `cbfnb:hkjVljVz#fnb:`l j l :`lPr}ks{h `ylPrb |~}vb:ylmfnrb:o`o/l vj #}ksnlmfnxks f{yV`lftr<bedà ª¬ ²]¶ ¨ []\vZ P [
(50) Y O T¨ \ {Y.\ M ª P © ¨ Y R'° b l kf{o/r:`-ojVKxMrsndebvr<#f{`]smfnbvu f{oDftbkljVxvzjVlj,h `o ` mfnbvu¤r|Prx:jV>`clr>oV$ kf{o f{o-`yz kfnjVqj,h$( vjVb 6 N g 6 `b:{ h j 6 `<yl-`osfnbvj,`.jVb:hkr)rxv kf{om.o)rb `
(51) `]snujVv> ` r||~}vb:ylmfnrb:oVNxMrjV#omjVmfnj,oVomj,<}vjVb:yj,oVh<f{omlmfnv}vlmfnrb:oV3jVl>y vjV+ b M8«²:¬±jµvljVb:hvo#lrl vj |~rsstrfnbvu±jfnvbkfo)}ksnjP|~rxvrvhk}:yl>o l Y#i n «_ÁU¬ 6 W« Y$¬ p g 6 -« YJ¬ 6 « $¬ q j 6 W« Y5¬ t kf{o-`cj,o `b `snujVv>`vT vj7`<ylmfnrb:o3r|Tl vj±r<x:jV>`lzr>oyrj,ox:rb:h<fnbvu)lrgfn)x:rzl>`bkl¸zj`]snujVv`o `j#ufnqjVb ftb$`ksnj²° b l vj#jV-`]fnb:hkjV#r| lz kfio`lmf{yzsnjTj#}:omj)lz vj)r> h z|~}vb:ylmfnrb !lr!hkjVbvrlj.`bed r*mj,ylrb!( kfiyz lz vjPjstjVjVbel>o(r|`b¸j7`]snujVv`-`yl] kf{ofnbkljVxvjVl>`clmfnrb$)rlmfnq`lj,ol vjoml}:hkd r|±f{hkj,`]s{o#rc|gom<jV xMrsndebvr<#f{`]s±mfnbvueoV snujVv`]f{yV`]sstd/`b r*mj,ylr|NfnbkljVj,oml(f{olz vj¡ª¹ ½}
(52) ¤ WQ¹ºQ¡B/bvb Y r| ojVx:rcstdkbvr#f{`]s{og kf{y q`bkf{om rb omr)j Y n r°l f{o7yV`]ssnj,h l vjºQ¢.¢¤ ¤¡ªºQ½2¤a¢ 5 4¤ WQ¹tºL¡r_| Y)_rkomlPr| lz vj)rx:jV`lmfnrb:oPj)yrb:of{hkjV#:jsnr yr<b:of{omlPfnb :b:h<ftbvu jsnjV)jVbkl>oNr|Tl kf{ofihkj,`s kf{yz o`clmf{o|d#omx:j,yzf{`]sTxvr<x:jVlmfnj,oV<rfnb):b:h<fnbvu#jsnjV)jVbkl>oNr|`bf{hkj,`]sTr|rx:jV>`clr>o `bvbkfn kfs{`lmfnbvua`g|~}vb:ylmfnrbjs{`lzj,h!l5r Y °rzj,omx:r<b:h<ftbvucstdgl v j T~)rvhk}ksn!j a8 Y#"$%5±bvBb Y jVb:yV`cx:om}ks{`lj,o#}:y Rr|)l vjomlz}:yl}vjr|#l vj ¼¾2¹ YWQ:Å WQ¹S»
(53) ¤ 3ºQ½24¤ 3S¹¾#' Í &Ty 888 2 &
(54) ( -« YJ¬rc| Y°r)xv}vl`lmfnrb:`]ssnd:`]ssyV`]s{y}ks{`lmfnrb:o(l>`j/xks{`yj/fnb!l kf{o)rvhk}kstj (stlz vr}vu `]ss±l vj!`]snurftlz v-o#j-xvzj,omjVbel:jsnr :`]qj `cb¤ftbkljVxvzjVl>`lmfnrb¤fnb$ljV.o7rc|±rx:jV`lr>oNl vj jµkfioljVb:yj#r|p`.omxMj,yzf y`]snujVv>)` f{o/bvrl(jVqjVbbvjVj,hkj,h/ vjw`]snur<mfnl v-o/yV`ba`]ssN:j#oml>`lj,h`ll vjgsnjVqjs r|f{hkj,`]s{+o *r,| a`cb:h.)rµhk}ksnj,-o .%/*T ²]§ P©T
(55) ^ O0 ¨ \ M1 fO32IO Y O@P M R#r`]snurftlz v-o#`]sstr }:olrxMjVm|~r reoml7rc|Dr<}v yr<)xv}vl>`lmfnrb:o vj :>omlrbvj3f{o snj|Bl p}:yzs f{hkj,`b!h<fnqf{ofnrb kf{y #snj,`hvolzr`bjµµlzjVb:hkj,h#mfnu klueyVh#`]snur<mfnl vN vjomj,yrb:hrbvjpfio `#om}kfnl>`ksnd.)rµh<f:j,h.qjVofnrb-rc| (3}:y k:jVu<jV,²³o`]snurmfnl v |~r= /±2 r<1 vbvjV:`omj,o v)j N}:yzsf{hkj,`ba`]snur<mfnl v f{o(snj,oo/x:rjVm|~}ksl :`bl voj //2 r1 vbvjV/:`omj,oP`xvxvrk`y T v}vl/ftlPyV`b:j#}:omj,h fnb or)j¸zj `stu<jVv>`o( vjVj l vjs{`lljV/f{og}vb:`,q`]fs{`ksnj° b l kf{oPomj,ylmfnrb`b:hl vjbvjµµlPrbvjj)hkjVl>`]fsMrl l vj,oj `stu<rmfnl v-oVlz vjft yrb:omlz>`]fnbelo`b:h!omrjPr|lz vjft/`xvxksfiyV`clmfnrb:oV vj!j,o}kstlofnb l kf{o.omj,ylmfnrb `jhk}vjlrʸ7}¸j¦]T¶ SS¨ ÌDj,yV`]ssr}v)yrbkqjVbklmfnrb lz :`l:jsihvo-`]dMj omjVP° `]ss`cb ¹ 4¹¥S½24¤ 3S¹Æ ¹¡ W`#:js{h fnba( kfiyz l vj}:om}:`]sNmfnbvu-r<x:jV>`lftr<b:oP`jwyr<)xv}vl>`ksnj`b:h vjVj ufnqjVb l rbvr<bv2VjVrjsnjV)jVbkl> o 5 `b:7 h 6rbvj yV`b yrxv}vljlmr bvrbv2VjVr$jsnjV)jVbkl>o 5 X `b:7 h 6 X om}:yz l :`8l 5 X95 q6 X:6 p Sv° b¤l vj)yr)#}vl>`clmfnqj)yV`omjTlz kfio#yV`b Mj hkrbvjed l>`<fnbv!u 5 X p 6 `b:; h 6 X p U+53 ±jV<l p
(56) ¦³f e!gihj¨Mj)`-om<jVx:rsndkbvr#f{`]smfnbvu.rqjV±`bj©Fj,ylftq<j7:js{h
(57) ¯fnb:yj)l vjjstjVjVbel>o/rc=| `j x:rcstdkbvr#f{`]s{o(fnbavxMjVm|~r#fnbvu-h<fnq<fio ftr<b:o/rbl vj/snj|~l±.`j,opfnl±xMreoofnksnj#lr)jµvljVb:h!l vjP}:o}:`]s N}:yzsf{hkj,`b `]snurftlz vKlr/yr)xv}vlj3mfnu elueyVh²³o=±jVl m `b:[h vp:j3l rxMrsndebvr<#f{`]s{o ft)b g|r kf{y #j`bklTlr±yr<)xv}vlj `(mfnu elueyVhBPoom}v)jl :`l l vjhkjVujV+j > r| m fnb)f{ouj,`cljVlz :`b7l vjhkjVujV+j > r,| v8±j|~l~#}kstlftxksnd<fnbvu v kd7' ?A@ ?CBdfnjs{hvoN`omj,yr<b:h7xMrsndebvr<#f{`]Es DpO r|:hkjVujVFj > O B±jVl 5!`b:Hh G#:j3l vjNsnj,`h<fnR bvu#yrej® yzfnjVbkl>o r| m `cb:8h D.
(58)
(59) NT @$ "x N @#
(60) # N " @$x # @ . j,omxMj,ylmfnqjsnd°3r)xv}vljlmr±bvrbv2VjVzr7yr|®`<ylr>o 5 X `b:h)G X o}:y #l :`l.5 X 5=q)G X G p SvN vjVb> p 5 X m q)G X D :`o/hkjVujVjgstj,ozo/l :`!b > O fnb D vjwo`j7xvrvyj,ooDfio(bvr `cxvxks fnj,h lzr vP`b:h!>MÌjVxMj,`lmfnbvu!l kf{o/xvrvyj,oo jVqjVbkl}:`]ssnd dfnjs{hvoVjVr:
(61) ° lgf{oPbvrl7h<fª® y}ksnl#lr.xvrqj#l :`lPl vj#s{`olPx:rsndkbvr#f{`]s r<vl>`]fnbvj,h :j|~rj Sfio` mfnu klNueyVh #r| m `b:oh v%« /PyVh²³oN`jhkj:bvj,h}vx)lr7`gbvrbv2VjVrwyr<b:oml>`bklTfnb
(62) }¬>/°rssnj,ylmfnbvu#l vj±om}:yVyj,oo ftq<j | `ylr>o3d<fnjsihvo/lz vjPjµµljVb:hkj,h ueyVh`stu<rmfnl v kf{yz xvrvhk}:yj,o `b:h )om}:yz l :`l. . m qv. p t. ±j|~l3siy²³o`j±`]s{omr)yrxv}vlj,h)}:o ftbvu#l kf{o`]snurftlz v kf{opf{o `<y kfnjVqj,h.kd-yrb:of{hkjVmfnbvu)lz vjs{`omlpf{hkjVbelmfnlmd xvrvhk}:yj,h!kd-lz vjw`]snurftlz vVu . m q[v p. St. ¸ b:yj`ue`ftbT fnlf{o7bvr<lwh<fª® y}ksnl-lzrxvrqj)lz :`l7l vjx:rsndkbvr#f{`]s m f{o)` snj|ls{y r| m `b:hv kf{ogfio om}v).`mfoVj,h.fnb l vjP|~rssnrfnbvu-l vjVr<jVv kf{yz D`<oxvrqj,h.kd¸j¦]¶TSS¨Fftb l vj7yV`<omj7r|`.yr)#}vl>`lmfnqj :js{h
(63) ± v}vlj,`h<fsnd!jµvljVb:hvolzr-omjV :js{hvoV ¨ P [ ¨ ª _ «p¸j:h¬ Ro*4¤ 3S¹¢½ c8¹¡ª¹S£¹S¢.½a¾ m ºL¢ W[v¤a¢º¾!b¹2c ¼*Q¡Xd:¢Q£¤aºQ¡»¤¢5
(64) ¦³fehgi!j¨ 3¹S»ºQ¢¹4¹t¥yÅ. ½24¤ 3S¹Æ ¹¡ W
(65)
(66) ½a "¹ @^YU¥S¡ª4¤ WQ¹ºQ¢ºQ¡ 5LQ»t¤a½a £ £xº b¹y¾¤½w¼:¾¾¤ -¡ª¹
(67) ½2¥Q£É,¼ YU½2¹¼QX¡ d:¢L£¤aºQ¡·¾ )i#i)i i
(68) c8¤a½a ºQ#¢ W %¢.Q¢*Å ¹»c
(69) 8¾ YU¥½a ºQ½ «Y³Q¬ m qv p ºQ#¢ W m qZv p Si cB ¹»_¹ Ĥ ¾º»X¤ 5: F½ 5Q!¥ W m ºQ#¢ W v/ºQ ¢ W m ¤ ¾º¡k¹ ½¡ª¥S£ m ºQ ¢ WZv# ¡ª¹ Z½ U»c¹»t¤a¢ 5 f{o#`ftbvu¤om}:y ¤l :`l|~rw`cbedbvr<bv2VjVrjsnjV)jVbkl>o m `b: h vl vjVj.jµef{oml)bvr<bv2VjV r `b:h fnbl vjPftbvu. kf{yz ao`lfio |d m p Zv=Poom vrb!kd.l vjPl vjVrjV`:rqjvomjV@x:rsndkbvr#f{`]sNmfnbvueo rqjV`:js{h `j/snj|l'¸j7mfnbvueo vjPxvrkr|Nr|lz vj7`:rqjPl vjVr<jV `]s{omr)d<fnjs{hvo/l vj/|rcs snrfnbvu!yrrss{`d P [ P 0i\:[ * _ «p¸j:h¬ R9 a ¤o¾º¡ª¹ ½ U»c¹»t¤a¢ 5
(70) 8¾¤oN¾ a¦³f ehgi!j-¨ # ° `]ss`b¹ 4¹¥S½24¤ 3S¹
(71) ¡ª¹ N½ U»_¹
(72) »t¤a¢ 5.`gsnj|l#¸zjPmfnbvu#fnb! kf{y !l vjP}:o}:`]sTmfnbvu)rx:jV`lmfnrb:o`j7yrxv}vl>`ksnj `ojss`ol vjPx:`ft'« i¬fnbeqrcstq<j,h.fnb 3:.«Y³Q¬D vjPxvjVqfnr}:o(yrrss{`dyV`b`siorwMjPfnbkljVxvjVlj,h`o`b jsfn#fnb:`lmfnrb xvrxMjVlmd `o |rssnr±oV P [ P 0i\:[ * % R *4¤ 3S¹¢½ c8¹¡k¹£¹S¢½a¾ m ºQ ¢ Wv¤¢º
(73) h¾ b:2¹ c¼*QX¡ d:¢Q£¤aºQ¡*»t¤a¢ 5- p a}¦³f ehgi!j¨ T 3S¹S»ÉºQ¢¹ 4¹¥S½24¤ 3S¹ ¡ª¹ ½ U»c¹»t¤a¢ 59a
(74) ¤ ½a ¹»_¹K¹ A¤ ¾½a¾« )i*¬ n ºQ ¢ W 5 n a ES"!7¾ Y ¥y½aUºQ½ m qv. p. 5. i. ½a ¹¢«5 i)i ¬¥tºL¢ -p¹¥Q£É¼,YU½2¹hWV-d½a ¹ @NY ¥¡ª¤
(75) WQ¹ºQ¢ºQ¡ 5QL»t¤a½a £# @BA:ºQ£É¼A¡ª¹/#ÉÂj-`cxvxkstd l kf{oPjsfn#fnb:`lmfnrb r<brx:jV`lr>o/( kfiyz $hkj:bvj-l vj L`yrkfx:rsndkbvr#f{`]s{oV¯l>`clmfnbvu |~r -« U¬ `cb:h!`##fªµµj,hh<fª©FjVzjVb:yjV h<fk©TjVjVbklmf{`]sj,<}:`lmfnrb)u «_¶ H q m q{vFq3¶U=¬ c² U\ / ICk D « #U¬ UÊ«-H q ²:¬.« m U v U3«_¶3Hoq m qsv<q ¶¬w\$¬IC U¶U«-H q m qE²:¬Y«-H q v qE²:¬!i j)xvrqj)lz :`Ml L`<yrkfx:rsndkbvr#f{`]s{o)`]s{omro`lfio |dÊ« 6*¬/ed jsfn#fnb:`lmfnbvu¤l vj h<fª©TjVjVbklmf{`]srx:jV`lr73DMjV lmjVjVbÄW« U¬D`cb:hÊ« #U¬3fnbl vj¸j)`]snujVv` G/« m ihvxi=Hfi%\$¬tP¦ I C ebI C i!S:¨j¦³ D e² i> D ¨ # kf{o7_ `xksnj)omj,oofnrb`cb:h l vj |~rsstrfnbvu!rbvj,o(}:omj¿° kdU,` ² %o $ 57Y ¢ x:`yz`cuj± vj:>olomlzjVx!f{o/lrstrk`h!l vjx:`yz`uj)`b:hyj,`lj#` om}kfnl>`ksnj/¸jw`]snujVv`u &(')+*-,/.1032+4357698 : 8;1<>=@?1AB+0C,ED><F1FG;H/AJIK"LIM*7'21)3;HN5OIP5QLRIST'U232Q;HPV>WIXW3L(6J8.
(76)
(77) !#"%$. /ofnbvua`xv kf snreorxv ed jV ftbkf{oyjVbkl#r|rɵefnr² oVT`bʸj)`]snujVv>`f{oPzjVxvj,omjVbklj,h ftbkljVb:`s snd`<o±`.l>`ckstj#r| xvrvyj,hk}vj,o/l :`l/x:jV|rz fnl>o(:`of{yrx:jV`lmfnrb:oVÇjVj D><F1F S@'212 `b:h M*7'21) `j7xvzj,hkj:bvj,h lmdexMj,or| ¸jrx:jV>`clr>oV<v}vl±r<bvj7yr}ks{hyj,`lzj¸jw`]snujVv`ofnl !rlz vjVrx:jV`lr>o ÂjPl vjVbjVbelzjV:rlz !x:rsndkbvr#f{`]s{7o u . . 8;H7,X5 @6 , 5 A K @6 ,
(78) U5 AK @6>N5 ,3,
(79) U5QA KT6 ,EA KT67,
(80) U5 A K@6 7, 5QA KQ6 ,
(81) U5QAK (6 WT6 N5 7,X 5 A > 6 7,X5 K>6 ,
(82) 51A K (6 I , U5 A K @ 6 , W @ 6 V1W >N5 ,X5+6 7, A K ,
(83) 5QA UK @6 W(6>N5 7,X5 A +6 7,5K>6UL 8
(84). /b:h!j7`om#|~r±`omjVxMrsndebvr fi`s|~jVjPr|I C k f|Nx:reozofnkstju MT?&T?>B@'FO, H LI H>LI N5OI : 6. U m HUvbH U'HU'H. :. q m \ 3D.q m D=qsv7\. D Uv. ¶. D q T\. D U. D qs\. D. kf{oDfioDxvj,yzf{omjsnd M$« 6 ¬> /bvrl vjVftx:rl`bel.`xvxksfiyV`clmfnrbr|7l vj N}:yzsf{hkj,`bK`]snur<mfnl v¡f{ol vjayr<b:oml}:ylmfnrb r|7l vj :jsih r| |~>`ylmfnrb:o/r|`-ojV x:rsndkbvr#f{`]smfnbvu¦]¶ S¨ ° `]s{y}ks{`lmfnrb:oPDftlz alz vj,omj#|~>`ylmfnrb:oP`zj7bvrlPbvjVj,hkj,h fnbl kf{o r#`]snl vr}vu )lz vjVd `cj}:omj,h#fn)xksf{yzfnlmsnd! vjVb)l vj(j©Fj,ylftq<jsnj|l¸jftbvugf{oNr|Tl vj|~r a p
(85) ¦709e=<i=>U¨ «~f ¶jnM`wojVx:rcstdkbvr#f{`]sNmfnbvuftb omjVqjV>`s ²³o¬> ² 6M [ P ! X M¨ [X \:Y ¨ Y OM #Y " ¨ $ fP * M,P ª O \ )[ OM% TY R° b¤-`bkd yr<))rb?¸j!`]snujVv>`oVjsfn#fnb:`lmfnrb yV`b¤:j.x:jVm|~rj,hkdyr)xv}vlftbvu bvrbv yr<)#}vl>`lmfnq'j /±2 r<1 vbvjV7:`omj,o}:ofnbvu` om}kfnl>`ksnj!ujVbvjV>`s fo,`lftr<b r| (3}:yz eMjVujV,²³o!`stu<rmfnl v 3`msnd rz¤ftbRl kf{o!`zj,` ftbRl vjyrbkljµvl-rc|ÂjVd<sg`stu<jVv>`of{o!hk}vjlr # /`]ssfnur¦o²Q²¨ 8À7M``]de`-`}:omj,h`b`b:`]snrur<}:olj,yz vbkfi<}vjP|~r±h<fª©TjVjVb:yjV h<fª©TjVjVbklmf{`]s `]snujVv>`o'¦]¶QÁ¨ 'om}U® yzfnjVbel!yrb:h<fnlmfnrb |~r /± r1 vbvjV):`omj,o lr:j :bkfnlj!f{ol :`l)l vj`stu<jVv>`Mja`3¡ª¹ '½ &#S¹½a ¹S»¤ºL¢ »¤¢ 5 kf{yz )j,`b:ogl :`l/fnl7hkrej,ogbvrl7yrbkl>`]fnb`bkd!fnbk:bkfnlj!omlmf{ylmsndfnb:yj,`ofnbvuomj,<}vjVb:yj)r|3stj|~lPf{hkj,`]s{oV (bk|rzl}vb:`ljsndMbvrl±`]ssr¸j#`]snujVv>`o(`jPsnj|~lÀ(rejVl vjVfi`cbT}±bjµ `xkstjgf{oufnqjVb fnbĦ]§*²¨ fnl l vj/¸j `]snujVv>` G¦ \*¨j)¦ ( e( i%S:¨ vjV*j ( fiol vj_ ` ksnjVmf{`b rx:jV>`clr#fnl yr<)#}vl>`lmfnrb¤}ksn+ j (`\ p \ ( |~r`b fnbelCjV. u<jV -, ²Ê« omjVj`ksnj ²:¬"±jV!l *9C :jlz vj snj|l.f{hkj,`]s#ujVbvjV>`lj,h kd w« \)i!\( it2ttwi!\( C ¬> vjVb \( 0Í n/ *9C:M`b:h « *9C.¬ C 12 f{o±`b.fnbk:bkfnlj)omlfiylstd.fnb:yj,`<ofnbvu omj,<}vjVb:yj7rc|snj|~lf{hkj,`]s{oV D vjVj|r<j bvrl±`s s stj|~lf{hkj,`]s{o/ :`]qj7`:bkfnlj:`of{o vj|~rsstrfnbvul vjVrjVufnqj,o7`.om}U® yzfnjVbklwyrb:h<fnlmfnrb |r7`cbĸzj `stu<jVv>`.lr.x:reooj,oo(:bkfnl j /± r1 vbvjV :`omj,o`b:h#oml>`lj,o l :`ll vj,omj:`oj,oNyV`b#:jyr)xv}vlj,h ed7`/bvrbv yr<)#}vl>`lmfnqj`b:`]snru}vjr)| (}:yz k:jVujV]²³o `]snurftlz vB vjVbl kf{oNl vjVrzjV«`xvxksftj,oej®!yzftjVb:yd.yV`b):jDftxvrqj,h#kdwom}kfnl>`ksnj/ujVbvjV>`]sfo,`lmfnrb:o3r|l vj omr yV`s snj,h bvr-`]sNoml>`lzjVud )¦ 3 yz :`xT$¶:¨ , Vo}vue`Poml>`lzjVud ¦o²S¶¨`cb:h!kd l>`yjgsf |~lmfnbvu ¦]T§ SS¨¿v}vzl vjV h<f{oy}:oofnrb r|fn)xksnjV)jVbkl>`lmfnrb `b:h!j® yzfnjVb:yd!fssN:j7x:`clr| ¿F° edU,`²³o3l vj,of{o'« omjVj7`]s{omr¦·Á:¨2¬> ¨ P [ ¨ ª % R545¹S½ 6 p
(86) }h« (8¬t;¦ *B¨j7¦ 0=e?< i?> F¨ -Y¹ºQ'¢ U»c¹ºQ¡ 5LE¹ -»cº# 3¹S»ºÆ ¹¡ W
(87) 7¾ Y ¥y½aUºQ½ 0
(88) < ºL ¢ W_> ¾ºQ½2¤o¾ 7d. »c¹S¡ªºQ½2¤aQ¢*¾# ½a ¹½ dY¼*¹ 6 ,87 p]m 6 Q 7K,87 6 qsv 6 Q 72i :² 9<;=9+4xi :² 9?>@9Eà i c8¤a½a m 6 7 p / S¤a¢
(89) h« (8¬ºL. ¢ W.v 6 7#¤¢
(90) }h« (8¬t;¦ *B-¨ # !5 ¹A¢ 6 ¤o¾}¡ª¹ ½ &¹S½a ¹»t¤aºQ¢ºQ ¢ Wº
(91) ¢Q¢ Å_¥Q££ YU½2ºQ½24¤ 3S¹ 3¹S»p¾¤aQ¢ :B YU¥Q -p¹S» 5Q¹ » C ¾ºQ¡ 5QL»t¤a½a £ ½2Q¹S»£¤a¢ºL½2¹¾ # Po±yV`b Mj ojVjVb!|~r'`ksnj²Ml kf{o/l vjVrjV fn)xksfnj,oPl :`l/-`bkd!}:omj|~}ks ¸zj `stu<jVv>`o/`jPsnj|~lÀrkjV l vjVmf{`bT D Dns2hSsa[]ba[]XSgpfkZU`2u[]bJ[]{ hyf[]^cbr`2uWpF ` E s2eth:eba[]`a[]et0X GIT HrhLT J
(92) K[]0X L MONQ[]bB5s2etXgST.
(93) »cK#3 vj7h<fª®.
(94) NT @$ "x N @#
(95) # N " @$x # @ . y }ksnlx:`zl rc|Flz kfioDl vjVrjV f{o3l vj7yV`omj/r|Tx:rsndkbvr#f{`]sr¸zj`]snujVv`oÉ« vjVb(!f{ojVxvl d.¬> kf{o7yV`<omj#f{olj,`lj,hkdw5ËP`b:hkftjÌDrµhkd$`b:h &#$Âjf{omxk|~jVbvbkftbvu?¦o²S§k vjVr<jV 6: ³S¨}vb:hkjV#l vjb:`)j xMrsndebvr fi`sFftbvukorc|omrsnq`ckstjPlmdkx:j v3 vj±lz vjVrjV yV`cb-MjPrvl>`]fnbvj,h.jfnl vjVed.`wo ftxkstjPzj:bvjV)jVbelr| l vjfnhkjVmfnq`clmfnrbTkrkd7`xvxMj,`]sftbvu#lrPP_r>`v²³oFujVbvjV>`]svl vjVrdr| oml>`cb:hv`>hP:`<omj,o |r<TvsnljVj,h mfnbvueo}¦o²#3¨ ° bx:`lmf{y}ks{`,kl vjs{`olNfn)xksf{yV`lmfnrb!l :`lNbvrkjVl vjVmf{`bkfnlmdfn)xksftj,oDljV#fnb:`lmfnrb.r|)(}:yz k:jVujV]²³o`]snur<mfnl v f{oxvzrq<j,hftbʦo#² 3¨ Âj±`cxvxkstd.Pe_r>` ²³oujVbvjV>`]sl vjVrdr|oml>`b:hv`c>h#:`omj,oɦo#² 3:¨vlzrwomjV x:rsndkbvr#f{`]sTmfnbvueoV¿ ftoml, 6@ :`o l vjomlz}:yl}vjrc|F`Æ ¡ª½2¹S»c!¹ W#»t¤a¢ 5<=±jVl :jl vjomjV#fnur<}vxwrc| `]ss5« yr)#}vl>`lftq<j:¬ ljVz-ofnb *`b:h 0/8±jVl :jr>hkjVj,hkda`bkd!lrl>`srhkjV yr<)x:`lmfnksnj)fnl l vj#xvrvhk}:ylw`b:h om}:yz l :`l² G |~r`s .s G n N ±jVOl 3! 1 :jlz vj omj,<}vjVb:yjr|
(96) }h« (8¬~qj,ylromx:`yj,or| `]ss om<jVxMrsndebvr fi`siop kf{y fnbkqrsnqjrbksnd#ljV-o snr jV3l :`b.rj,<}:`]sl8r GNN kf{opfio`gvsnl>`lftr<b)r| 6#vofnb:yj(|r`]ss G iAG Xn Fu
(97) j¤ 3# G7G X p e N¤¤ 3#
(98) e:`b: h N¤¤a¤ 3#<|~r±`s s n 6#vl vjVjjµef{om-l G iAG X n om}:yz l :`l 'n )v}vl n/ ¿vr< n 6 ES1!e snjVlwhkjVu Mj)l vjsnj,`h<fnbvuljVz'r| uPhkjVu p #fnb G n "!kÀ(jµµl]MstjVl Mj l vj#qj,ylr<±omx:`yj#r| `]ss om<jVKxMrsndebvr fi`siogr|Nsnj,`h<fnbvuljVz omlzmf{ylmsnd!snr jV/l :`b GN Mjwlz vj `<hvh<ftlftq<j ur<}vx % :`b: h Mj-l vj.h<ftzj,ylwom}v 1 !:- vj)ftbv" u fiogl vj 5L»_Tº WQh¹ W»¤¢ 5º´¾t¾S¥¤ºQ½2!¹ W½2@ 6# ¿ fnb:`]ssndTsnjVl#°bkftl Mjwlz vjwzj,of{hk}vj yzs{`oo/rc| )rµhk}ksn" r #$&% T`cb:hahkj:bvj° bkfnlPrbomjVlo/ed ° bkfnl 6 ! 6 1(' p S°bkftl 6 ! 6 1)'<*8°lf{oj,`ofsndomjVjVb!l :`c+l p
(99) ;¦ ( i=*B¨j7¦ 0=e?< i!S: ¨ «j° b!l kf{o(mfnbvu:vl vjPxvzrµhk}:ylrc|)r<bvr#f{`]s{o f{o±` )rbvr#f{`]s ª¬ ° l.|~rssnr±o|zr ¦o²S§¨/l :`l
(100) }h« (8¬t¦ *=¨jJ¦ 0.e?<i=>*¨(fio` snj|lÀ(rejVlz vjVmf{`bmfnbvu:Pomr$l :`c*l 6'f{o ftlomjs|` snj|~l À(rejVl vjVfi`cbmfnbvu:D vjP|~rsstrfnbvu.lm r#yrb:yjVxvl>o(l vjVj|~rj7yrfnb:yzf{hkj|r<±`bkd)snj|~lf{hkj,`]=s *<6 ¦o#² 3¨ u ² , f{o/`¾½2ºQ#¢ WQºQ» W¾¹½N|~r *( vjVb° bkfn-l ,«u<jVbvjV>`lj,o}°bkfnl *)e ¶v , fio/` ¾½2ºQ#¢ WQºQ» WV-pº:¾¤ ¾/|r<+ * vjVba`bkd!bvrbv2VjVr.jsnjV)jVbk1l Y r| *ayV`b:j#mfnlljVb `o` :bkfnlj)om}v rc|xvrvhk}:yl>/o .v<|~r+ . n 6 `b: h v n , o`clmf{o|d<fnbvu hkjVu .hkjVu v0 hkjVu Y ¯}:yz `omjVl/f{o#yV`]ssnj,h` *,» + -¢¹o» -Yº:¾¤ ¾)r| l vj fihkj,`Fs *T fnl `<hvh<ftlftr<b:`]sD`ozom}v)xvlmfnrb:ogr| j©Tj,ylmfnqjVbvj,oo j,`ofsndomjVjVblr#:j7o`lfio :j,h!kd 6#kfnl|~rssnr±o3|~r%¦o#² 3¨Tl :`cl (3}:yz eMjVujV,² o`]snurmfnl v ujVbvjV>`]sfoVj,o/lr#l vj mfnbvueo}vb:hkjVPyrb:of{hkjV>`clmfnrbT `cb:h!ljV ftb:`clj,o:j,yV`c}:omj7r|NbvrkjVl vjVmf{`bkfnlmd 1 @BA:ºQ£É¼A¡ª/¹ #ÉÂj3x:jVm|~r l vj oz`)j yr<)xv}vl>`lmfnrb7`<o`Mrqjrbl vj L<`yrkfvx:rsndkbvr#f{`]s{oqf{9 ` //2 r1 vbvjVT:`oj,oV kf{oDfio(`y kfnjVqj,hkd hkj:bkfnbvu!`snjµef{yru<>`xv kf{yr>hkjVrb!lz vj7q`cmf{`ksnj,oV:Dftlz IC2 Du 3 8;+)T?=FG<+="S ?=C, : I54TBQ?W";HXN5OIV1W>L(6J8. À(jµµl,` //2 r1 vbvjV7:`<of{o7Dftlz j,omxMj,ylwlzrl kf{oPr<>hkjVPf{o#yr)xv}vlj,h°lwyrbkl>`]fnb:olm r.x:rcstdkbvr#f{`]s{o7ul vj #fªµvj,h-h<fª©TjVjVb:yjV h<fª©TjVjVbelfi`sFr<x:jV>`lzr}«#U¬`b:h l vj±h<fª©TjVjVbelfi`s rxMjV>`lr}«6*¬T kf{y f{oomjVjVb.kd ojstj,ylftbvu rbksnd!l vreojPljV-o3fnl vr}v"l I C u =@? F(<(6@?7,X*(A3M9IX0>K(A3MQ'+M , I 3 I=@A )74"<1B(8R,/=TA)T'<5(AB-IQHA7IKOIWIP5QLT6167IN5 6. . Ķ D qsv7\ D q m D D q m D)Uv D)U D : ¯fn#fs{`msndrbvj7yr}ks{hrvl>`]fnb«-¬kd.js fn#fnb:`lftbvul vj7om kf|~l±rxMjV>`lr< MjVlm jVjVb«6*¬ `b:h «#¬> ¶v<;.>*5 >FC=, A'>FCED<AG >IH >85 :JQ2A f A*) AH2H ¯rsn}vlmfnrb:orc|Tsftbvj,`c±j,y}vzjVb:yjPrh<fª©FjVzjVbelmf{`]sj,}:`lftr<b:oDftlz !x:rsndkbvr#f{`]syrkj® yzfnjVbelo`jPr|x:`lmf{y }ks{`3fnbeljVzj,omllrwyrxv}vljV `]snujVv`w`cb:h)yr#kfnb:`lrmf{yVoVvofnb:yjPl vjVd.yV`b):j7ox:j,yzf:j,h.ed.`/:bkfnlj7`)r<}vbel r|fnbk|r<-`lmfnrb)upl vjyrkj® yzfnjVbkl>o`b:h-`g:bkfnlj/be}v#MjVr|fnbkftlfi`syrb:h<fnlmfnrb:oV kf{o3 :`opstj,h.¬#.:jfsn:jVujV lrujVbvjV>`]sfoVjPl vj/bvrlmfnrb:oNrc|J/~zj,y}v>ofnqj7omj,<}vjVb:yj,o`b:h :bkfnlj(|~}vb:ylmfnrb:ooml}:h<fnj,h.edÌP*¯l>`cbkstjVd ¦]x¶ 6:¨ fnbelzr-`#bvrlmfnrb!rc|/:bkfnljVbvj,oo¦·§Q§¨ 8° b omjVqjV>`sFq`mf{`ksnj,oV`|~}vb:ylmfnrb!f{o/:bkftlzj7 vjVbl vjPqj,ylr/omx:`yj ujVbvjV>`clj,h kdfnl>ohkjVmfnq`lftq<j,o7 :`<o/:bkfnlj!h<ftjVb:ofnrbrqjVPlz vj#:js{hr|>`clmfnrb:`]sN|~}vb:ylmfnrb:oV ¯fn#fsi`cmsnd` omj,<}vjVb:yjf{o}/:bkfnljP vjVb.l vjqj,ylzr omx:`<yjujVbvjV>`lzj,h#ed ftloom kf|~l>o3 :`o:bkfnljPh<fn)jVb:ofnrb!rqjVNl vj(:js{h 9 U_H U'HU'H. m UaH,v q \. D q \. .
(101)
(102) !#"%$. r|`lmfnrb:`]s|~}vb:ylmfnrb:oV kf{o :`o`)ofn)xksnj7lz>`b:os{`lmfnrb.fnb!ljVz-o3r|f{hkj,`]s{oVM`b:h.l kf{ol>`cb:os{`lmfnrb!d<ftjs{hvo/` qjVd.b:`l}v`]sTujVbvjV>`]sfo,`lmfnrbfnbl vj7yr<beljµvlr|¸jw`]snujVv`oV & T¨ L^M)O Z OQP)M R#±jVl 6 p
(103) h« (8¬7¦ 0e=<i?>*¨T:j#`)>`clmfnrb:`]sr¸j#`]snujVv>`rqjV±`:js{h
(104) ± snj|l(f{hkj,`]=s *r| 6 f{o±JÅ·Ær¢¤a½2¹Pf| 6 % *.f{oD:bkftlzjV h<ftjVb:ofnrb:`]srqjV)
(105) }h« (8¬ ¿v}vb:ylftr<b:oVomjVftj,oh<f{omlzmfnv}vlmfnrb:oVNomj,<}vjVb:yj,oVjVl>y kf{y `cj-`bvbkfn kfs{`lj,h edom}:yz `bf{hkj,`]s Df ss`]s{omr :j#yV`]ssnj,haM:bkfnlj ÂR vjVb *!f{o/l vjw`cbvbkft kfs{`lmfnbvuf{hkj,`]sr/bvb Y r| ` |}vb:ylftr<b Yl vj#}vr<lmfnjVbel 6 %S/bvb Yf{o(f{omrrxv kf{y#lr l v*j 6/~)rvhk}ksn+ j 6 8Y `b:h¤l kf{o-<}vrlmfnjVbklfio :bkfnljV h<fn)jVb:ofnrb:`]sPf|7`b:h¤rbksnd f |Pl vjom}:yVyj,ozofnqjx:omjV}:hkr< hkjVmfnq`clmfnqj,o± Í &y 888 2 &
(106) ( -« YJ¬r| Y omx:`b`:bkfnljV h<fn)jVb:ofnrb:`sqj,ylr±ox:`yjPrqjV)
(107) }h« (8¬> ÂR vjV b *f{o7`M:bkfnlj#f{hkj,`]s l vjVb 6 % *f{ofior)rxv kf{ylr!l vj#)rvhk}ksnj 6 8 Y¤ vjV5j Y f{oPl vj)zj,of{hk}vj yzs{`oo/r|²gft? b 6 % *T/ kf{)o Yyrzj,omx:rb:hvo/lzr-`)u<jVbvjVmf{yP|~}vb:ylmfnrb`bvbkfn kfs{`lj,h e d *T/ e}:o/M:bkfnljfihkj,`sio -`<jfnlx:reozofnkstjlr7jµvxvj,ooDl vj±xvzrx:jVlftj,o(`b:h-`stu<rmfnl v-o3:jsnrfnl vr<}vlD`cbed)zj|jVjVb:yjPlzrw`#omx:j,yzf y `]snujVv>`/rc|:|~}vb:ylmfnrb:oVr¿ r`cbed `bvbkfn kfs{`lj,hed *TQ/bvb Ê/bvb Y p *T8¿ rfnb:oml>`b:yjcf | *f{oNujVbvjV`lj,h kd D q3²(ftb 6 p w« \w¬t¦³3 D,e!Si>3 D¨ kl v6 D jV*b 6 8Y f{o3f{omr)r<xv kf{yPlr#jfnl vjV 6 8Vyreow« \w¬r 6 8>o ftbJw« \$¬ (3j,of{hkj,oV p « U ; r q ²:-¬ Y yrzj,omx:r<b:hvolr e ekfnlf{o/yV`b:yjsstj,h ed *`b:h 6 8 )f{o±`)olmf{yl±om}vv~)rvhk}ksnj#r| 6 8Y vjoml}:hkdPr|:M:bkftlzjf{hkj,`]s{o f{o )rlmfnq`clj,hPkdPl vjfnbkf{yjyzsnreom}vjxvr<x:jVlmfnj,oN`b:hgl vjNjs{`lmfnqjofn)xksf{yzfnlmd r|Nl vj7yrzj,omx:rb:h<fnbvu!`]snurmfnl v.oV ¶vo²<7¦ ¨ ^ZV\ M% © n\:[bY *YZ ¨ ªY R r-ofn)xksf|~dl vjPxvrkr| oVkj:>olbvrljPl :`clDM:bkfnljgfihkj,`sio/yrbkl>`]fnbomdvom ljV-oDr|xMrsndebvr<#f{`]s{or|`)omxMj,yzf{`]spo :`x:j kf{y j7yV`s s}»_¹¥S½2ºL¢ 5YU¡ªºQ» & T¨ L^M)O Z OQP)M R«omdvomljV r|x:rsndkbvr#f{`]s{o/r|`#>`lmfnrb:`sr¸j7`]snujVv>` 6 p
(108) }h« (¬t7¦ 0e?< i?>*¨f{o#»c¹t¥½2ºQ¢ 5TY ¡ªºQ» vjVb j,`yz 6 f{o(fnbeq<rsnqj,hfnb jµ `ylstdrbvj#r|Nfnl>o/jsnjV)jVbkl>oVoP`.yrb:omj,<}vjVb:yjTj,`<y rxMjV>`lrDftbkqrsnqj,o rbksnd!rbvj7 6 vjVjDfio3bvrgstrkooNr|TujVbvjV`]sftlmd#fnb!yrb:of{hkjVmfnbvu-omdvomljV.or|Tl kf{o ox:j,yzf{`]s|r<`o|rssnr±o|~r l vjbvjµvl xvrxMreofnlmfnrbT !7[ PfP Y O Z OQP)M % R
(109) '¢Ä4¤ WQ¹ºQ¡8 º»_ºL½2¤Q¢.ºQN¡ U»c¹ºL¡ 5LE¹ -y»_@º 6 p
(110) Éh« (8¬t7¦ 00e=<i=>U¨¤ ¾75Å·Æ ¢.¤½2¹¤ ºQ#¢ WQ¢X¡ d¤ ¤a½ ¥Q¢½2ºQ¤a¢*¾#º»c¹t¥½2ºQ¢ 5TY ¡ªºQ»É7¾ dS¾½2¹S£ # »c K#°~| *)f{o`7M:bkfnlj(fihkj,`s® l vjVb)|~rNj,`yz ; U² i> 6 i 6 i2tt2t#ox:`b:o`:bkftlzjV h<ftjVb:ofnrb:`]sNqj,ylromx:`yj rqjV
(111) h« (8¬fnb 6 % *Tk|~r kf{yz !|~rssnr/ol vjPjµkfioljVb:yj#r|p` x:rsndkbvr#f{`]sTfnb 6 fnl yrej® yzfnjVbkl>oDftb
(112) }h« (8¬ kf{yz 7:j,yr<)j,o5VjVzrfnb7l vj<}vrlmfnjVbklr«~f ¶jiV:jsnrbvueo lrlz vjfihkj,`s ¬°rbkqjV>omjsndf| *#yrbel`]fnb:oT`E j,yl>`cbvu}ks{` omdvomljV fnl 6 l vjhkjVu<jVjPr|Tl vjPx:rcstdkbvr#f{`]sfnb3 6 kl vjV*b 6 % *f{oujVbvjV>`clj,h)kd Í y 888 C ! F F `o `
(113) }h« (8¬~qj,ylr7omx:`<yj 1 yr<b:omj,}vjVb:yj.r|l kf{o/xvrx:rkofnlmfnrb f{oPl :`clPxvrqfnbvu!l vj)M:bkfnljVbvj,oor| ` z|~}vb:ylmfnrb .fnb`.`lmfnrb:`]s ¸jP`]snujVv>5` 6j,hk}:yj,o3lrPxvzrq<fnbvu#l :`lfnl3fioyV`b:yjssnj,h.kd-`Pj,yl`bvu}ks{` odµomlzjV«r|TrxMjV>`lro ftb 6#8Po `b.jµ `c)xksnjPr|`xvxksf{yV`lmfnrbT`bftx:rl`belom}vyzs{`oor|N::bkfnlj/|~}vb:ylmfnrb:o3f{o3r|~ljVb.xvrqf{hkj,h.kd»cºQ½2¤L¢ºQ¡ 7Y ¢.¥S½2¤aQ¢*¾e !7[ PfP Y O Z OQP)M R 45¹½ 6 p
(114) }h« (8¬tJ¦ 0e=<i=>*N¨ -Y¹
(115) º»cºQ½2¤aQ¢ºLF¡ U»c¹ºQ¡ 5Qx¹ -»coº cB ¤a¥ºQ¥½a¾Q¢ºQ¢ºQ¡ 5LE¹ -»cº YU¢¥yÅ ½2¤aQ¢*H¾
(116) }h« (8¬
(117) £º b¤a¢ 5 ¤½ºQ¢ 6
(118) Å_£2 WYU¡ª/¹ #3+L»ºQ¡a¡8¼¹»_ºL½2Q»Y¾# 6 A6
(119) ½aU<¹ YU¢¥½2¤Q¢ G 6 p 6 «²:¬¤o¾ ¤a¢
(120) }h« (¬½a ¹¢ ºL¡¡5»cºQ½2¤aQ¢.ºQ¡ 7Y ¢.¥S½2¤aQ¢*¾ )
(121) Éh« (8¬ºL»_¹PJÅ]Æ}¢¤a½2[¹ c8¤a½a»c¹¾N¼¹¥S½8½2 6# »c K#±jV) l 4:j)`bkd->`clmfnrb:`]s|}vb:ylftr<bT vjVba 6 W« 4Q¬ p g 6 -« 4L¬ G 6 qsj 6 -« 4L¬Nf{o/`#>`lmfnrb:`sT|}vb:ylftr<bTrÂftlftbvu l kf{op|`ylmfnrb#fnb!l vj|~r « 6 %, 6 ¬T|~rlmrPx:rsndkbvr#f{`]s{o 6 `b:h , 6 dfnjs{hvo`b)r<x:jV>`lzr , 6 6 U 6 kf{yz yV`b:yjs{o 4e 1.
(122)
(123) NT @$ "x N @#
(124) # N " @$x # @ . / bvrl vjV7q<jVdofn)xksnj-jµ:`)xksnj.r|±::bkfnljz|~}vb:ylmfnrb:oC fioxvrq<f{hkj,hkd edkx:jVu<jVr)jVlmf{y)oj,}vjVb:yj,oV f ¶jnNomj,<}vjVb:yj,o C y Q Q C om}:yz l :`cl C y Q Q C F Í Q Q C % C y Q Q C fio>`clmfnrb:`]sN|~rw`]ss ! vj-yrzj,omx:r<b:h<ftbvu j,yl>`cbvu}ks{`±omdvomljV yr<b:of{oml>orbksnd!r|om kf|~lrx:jV`lr>oDr|r>hkjV(rbvj (3d « l vjofn)xksnjx:`zl)r|S¬) vjVrjV ¶ >`lmfnrb:`]s¸j `]snujVv>`o!`zj À(rejVl vjVfi`cbT«°3r)xv}vl>`lftr<b:o)r| /± r1 vbvjV#:`omj,o#l vjVzj|rzj`]snD`]dvoljV#fnb:`ljfnb >`clmfnrb:`]s#¸j`]snujVv>`<oVÊ° lf{o)xMreoofnksnjlryrxv}vlj` j,yl>`cbvu}ks{` odµomlzjV¡fnb:yzsn}:hkj,h fnb`M:bkfnljf{hkj,`]s * |~r¥` /± r1 vbvjV-:`<of{o)r8| * «~|~r-`bkd$r>hkjV¬#`o |~rsstr±or¿vrj,`yz 3 6Tfnb!l vj7`]snujVv`v: 6 f{oj,hk}:yj,h )rvhk}kstr6 l kf{o:`6 of{oD|r p Si² i2tt2tN kf{oj,hk}:ylftr<b jVftlzj,ol vj 6 fnb)ljV.oTr|T`(:bkfnljbk}vwMjVr|:rbvr#f{`]s{o Í y 888m 2 ( fnb:hkjVx:jVb:hkjVbklr| N vj`]snur<mfnl v omlr<x:oN vjVb!`gs fnbvj,`hkjVxMjVb:hkjVb:yd!:jVlmjVjVb-l vj/jV-`ftb:hkjVoNf{ohkjVlj,ylj,h.kd /`}:ozof{`b-jsfn#fnb:`lmfnrbT}À(rlj vrjVqjVl :`clNfnb!ujVbvjV>`]s vlz vjf{hkj,`]sTujVbvjV>`clj,h)kd)l kf{o3j,yl>`cbvu}ks{`omdµoljV fioom.`]sstjV(l :`b.l vj±r<mfnufnb:`]s f{hkj,`]s ± kf{o(-`]d)snj,`hlr.yV`]s{y}ksi`clmfnrb:o/ vjVjl vjP:b:`]sj,}:`lftr<b:o/ :`,q<j/si`cujVrhkjV±l :`cbl vjP#fnbkfn-`]s rbvj:o ftb:yjgfnb:yzst}:o ftr<b f{ojVq<jV>omj,h.rb!l vj7yr<j,omxMrb:h<fnbvu!)rµhk}ksnj,oV ¶v]¶ P Y©T[ ¨ [ P$¨ [,Z Oi¨ Y RZ/(ftq<jVb$l r ::bkfnl j z|~}vb:ylmfnrb:Co 'YR`b:h E«r#j,}kfnq`stjVbklmsndRlm r M:bkftlzj f{hkj,`]s{o *-`b:h rc|F`/>`lftr<b:`]s5¸j±`]snujVv` `b:h ujVbvjV>`lr<>^o Y!`cb:h wr|l vj /~)rvhk}ksnj,o % *-`b:h % }¬> jom vrfnb)l kf{oNomj,ylftr<bwlz :`Bl Y qH7f{oN`]s{omr7M:bkfnlj< jhkjVljVz#fnbvj±om}U® yzfnjVbklyrb:h<fnlmfnrb:o|~rB YE7lr/:j±M: bkfnlj-`b:hjwo vr vr lr.x:jVm|~r yrxv}vl>`lmfnrb:o/}:ofnbvuomxMj,yzf{`]sf ,`clmfnrb:o#r| Y¤`b:hx:omjV}:hkr hkjVmfnq`lmfnqj,o rB| Y ° b@j,`y yV`omj/l vjxvr<kstjV f{o!:oml!l>`b:o si`clj,h fnbelzr$l vj s{`bvu}:`u<jr|7f{hkj,`]s{o `b:hRrµhk}ksnj,oVl vjVb yrb:h<fnlmfnrb:o3rb#l vj`lmfnrb:`]s$¸j±`]snujVv`/|~rlz vjj,om}ksnlmfnbvuPf{hkj,`]slrPjµkfiol `jhkjVmfnqj,h3 kf{of{oNl vjVb-`hkj j©Tj,ylmfnqj7kd.xvrqf{h<fnbvu`]snurmfnl v.o kf{y yrb:omlz}:yl±ujVbvjV`lr>o3r|Nl vjgfihkj,`s}vb:hkjVPyrb:of{hkjV>`lftr<bT¿vr j,`yz !rx:jV`lmfnrbTkj±ufnqjPlmrwh<fª©TjVjVbkl±`]snurftlz v-oV¸bvj/fnbvxv}vl>o±`cb:h)r}vlzxv}vl>o3j,yl>`bvu}ks{`/omdµoljV-o`b:h yV`bMj-`xvxksfnj,h fnb?¸j)`]snujVv>`ogjVqjVb vjVb /±2 r1 vbvjVP:`<omj,oPyV`bvbvrl:j-yrxv}vlj,h) vj)rlz vjVPrbvjfio :`omj,hr' b /±2 r<1 vbvjV:`omj,o`b:hjVl}vzb:ou<jVbvjV>`lroNr|`bf{hkj,`]sT kf{y .f{o3ujVbvjV>`]ssndsi`cujV« vjVb:yjP:jVlzljV¬> ÂjPMjVufnbaDftlz !l vj7om}v ª¤ªa\ R w¹½ *ʺQ ¢ W -p¹½ c8.JÅ]Ær¢¤a½2¹
(125) ¤ WL¹tºQ¡·¾¤a¢º»_ºL½2¤Q¢.ºQ¡ U»_¹ºQ¡ 5LE¹ -»cº # !5 ¹ºQ¢¢.¤oU¤¡ªºQ½2¤a¢ 5/
(126) ¤ WQ¹ºQ¡ Q¨ »ºQ#¢ d7¾ Y _ £ Y q cB ¹»c1¹ Y3¤ ¾ºQ¢¢.¤o ¤a¡ªºQ½2!¹ W -7d *ĺQ#¢ WHĤ ¾ºQ¢.¢¤ ¤¡ªºQ½2!¹ W -d ¤o¾ºQ¡·¾wJÅ·Ær¢¤a½2/¹ # »c K#/brxMjV>`lr< n f{o#`xvxksfnj,h¤lr Y q7akd
(127) W« Y q$¬ p
(128) -« YJF¬ qE
(129) « A¬- vj#:omlwom}v-`b:h yV`b!MjPj,hk}:yj,h!)rvhk}ksnr * p /bvb Yk kfsnj7l vj7omj,yr<b:h!om}v)-`b:h!yV`cb!:jPj,hk}:yj,h )rµhk}ksnr p ±bvb F k}:ol vjPb:`lz}v>`]s`]snujVv>`]f{yomjVllmfnbvu#f{o(l vj7h<fnj,ylo}v p % * % p 8bY 8A«rq<jV
Documents relatifs
To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed
Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à
Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine
En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages
Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur
A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated
The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide
Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to