A normal form approach for nonlinear normal modes
Texte intégral
(2)
(3)
(4) "!$#&%('*),+.-0/21 35476 ),8:9<;7= 3?>:@,ACBEDGFIH$JLKMJONOPCJQRNOPCJJA STFON&UVACBXW2YCJ [Z0\^]_%(`bac\d'fehg
(5) -0`c%fi2#j\ >lkcmonVpcmq er'seV%(t&\uer- [\^a0\v >Cw +V-0/2\uxy\^`0t w ecz|{}# ~r I&Gu2?_u.}2yuGd2rs[": 7¡Ou <R<O¢G<u£¤o¥G s¦2R§¨uG©
(6) 2.uGd2rEuGªGOuG«¬^®$u§¤:¯r$O§¥2:°±RG<o²u["³ ´&O7u 2 rµu2G¶2r±d2·su7§¡¦y ´¦2¤Rr±<5< 2¸¡Ou£r<RG¹$2G,2GuG¤ol¬uº»´ * G§ G$2¼°´u¡2<½?2°´u¡2<½&X¾[£¶u¡o¿À GOu<R ¼&"?u.}2¡<$2¤[2Cµu2G¶2ÁO §¡¦¹cRGy< ¨<
(7) <¹$2dG"¹$u <" <¹$u¡O§GIG"¡OVu<.$2<O ¼©O<:G5u.}2 rµu2G¶2r5d2·Eu ¬Ã[R¡Oo²GMOÄr£$2Gu ¤µRG¤dG?¤OuRGG«h2*GM"[Å Â2< ¡Our¦2O§GG:¡Oru<.$2<?G¦2 GsuGd2Gul¬Æ_u<OµR²G:2G<R2[.«r$2y¡O ur<[G,d2·Eu ±2<,¤oµR7Á«MG¨uGd2VsuGÇ2$G¨¹<uÁR¬oÈ?RR¦2V¡2¡R£¶2Gu Eu?¡Ou ¦RGµu2GµyÉXR¤o<OO ?2¸s<OOuÊ G«V <<R2<7¹<µVOC¬C7<RRµu2¡Oy2¨G RGVbsu7G <G£.«b2Âu.}2LµrÁ¦2Gu y25¡OurG£u£ 2y¹0O¢ GGG£¡RG£<O 7 . ¦¡R£ < <OC¬ Ë. ÎÌ ÍϱШÑÒbÓ Ô"ϸÕÑÍ )?Z0\Å]ÅeV%(`]_+ w %(Öre w %f+.`¢{}+.#da0\×C`0%f`cØ `0+.`$9G'f%(`0\uer#d`c+.#&]_eV']+Æa0\^t Ù 474 =tOÚ#&\2'(%f\^t-0ÛÎ+.` w Z0\ ac\2ÛÎ\2`0a0\^`0Ü2\+V{ w Z0\]+$a0\tjZCeVÛÎ\2tL+V` w Z0\ÖÆ%(Ý0#Re w %f+V`¢eV]Û0'f% w -0ac\Vz0ÞßZ0\^`¥%f`0Ü^#&\uert&%f`cØ w Zc\IÖ$%fÝ0#&e9 w %f+.`ªer]_Û0'(% w -0a0\+V{
(8) eÜ^+.` w %(`$-c+.-0tht w #&-0Ü w -0#j\ > % w %ftI+.Ý0t&\^#jÖV\2a w ZCe w tj%f`0ØV'f\9à]_+$a0\]_+ w %f+V`0tÙ w Z0\ aÆ!Æ`0eV]_%(Ü2t+r{,áMZc%fÜOZ %ftt w %('f'Îa0\2tjÜ2#&%(Ý´\^a Ý!et&%f`cØ.'f\
(9) a0%ftjÛ0'seVÜ^\2]\2` w 9âÖ.\^'f+$Ü2% w !_ÛCeV%(#OÚÂ\vÆZ0%fÝc% w etjÛCe9 w %seV'Æa0\^{}+V#&]_e w %(+.`eV`0aa0%¶ã\^#]_+.#j\MeV`0a]+.#&\{}#j+.] w Z0\M'f%f`c\ueV#]+$a0\t&Z0eVÛ´\rz)?Z0%ft{XeVÜ w ZCeVtÂÝÎ\2\2` #j\2ÛÎ+.# w \2a {}+.#?\vceV]Û0'(\yÝ!ä[\2`0`c+.-0`Ce > ä[\^`CeV]_eV# JDUVå¶æ,çèpÆ>Îné z êL` w Zc\ w Zc\2+.#j\ w %(ÜueV'lÖ$%f\áMÛ´+.%(` wu>w Z0\L#j\^Ö$%f\áëeV# w %fÜ2'(\M+V{,ì:+Vt&\2`ÝÎ\2#jØ ç¶m2é eVÜ^Ü2+.-0` w t{}+.# w Z0\7×C#jt w ac\^Ö.\^'f+.Ûc]_\^` w tI+.` w Z0\_t&-0Ýíj\2Ü w z 6 -cÝ0t&\^î$-c\2` w \^ã´+.# w tZ0eoÖV\ÅÝÎ\2\^`ï]Åera0\_%(` w Z0\Åt&eV]\_a0%(#&\^Ü w %(+.` %(`T+V#&a0\^# w +ba0\×C`0\e 474 = eVa0\^î$-0e w \^'(!.z¸Þß% w Z0%f` w Z0\_{}#&eV]_\á[+V#&ð¥+V{?Ü^+.`0tj\2#jÖre w %(ÖV\Å`0+.`$9G'f%(`0\uer# t¦!$t w \^]_t > t&%fØV`0%(×CÜ2eV` w a0\^ÖV\2'(+.Û0]\2` w tZCeuÖ.\bÝÎ\2\2`ñ#&\2eV'f%(/2\^aòÝ!ñì:eV`0a >¼ó eVðeVð%fteV`cañÜ^+oá[+.#jðV\^#&t > áM% w Z w Z0\
(10) +.Ý$íj\^Ü w %¶Ö.\:+V{ w eVð%f`0Ø w Z0\:t w eVÝ0%('f% w !I+V{ w Z0\ 474 =bteV`0a w Z0\^%f#ÂÝ0%¶{}-0#&Ü2e w %(+.`0tÂ%f` w +eVÜ^Ü2+.-0` w çõôÆ>lö$>C÷0>løé z 8ùac\2Ü2%(t&%¶Ö.\Ü^+.` w #&%(Ý0- w %f+.`Z0eVtÝÎ\2\2`hÝc#&+.-0ØVZ w +.` w Z0\[t&-0Ý$íj\^Ü w Ý! w Z0\[á"+.#&ð+V{ 6 z 6 ZCeuáúeV`0a7z q %(\2#&#j\ çõûÆ>kc>0moüé zV)?Z0\2tj\7eV- w Z0+.#jta0\^×0`0\:e 4
(11) 4 =ýeVtÂeV`%(`ÖreV#j%seV` w ]_eV`0%¶{}+.'fadáMZ0%fÜOZ%(t w eV`0ØV\2` ww + % w t'(%f`0\2eV#¼Ü^+.-0` w \^#&ÛCeV# wu>.w Z0\MÛ0'seV`0eV#\2%(Ø.\2`ct&ÛCeVÜ^\2t > e ww Z0\M+.#j%fØ.%(`*z)?Z0%fta0\×C`0% w %f+V`eV'f'(+áMt w Z0\^] w + -ct&\y\^þÜ^%f\2` ww \2ÜOZ0`c%fî-0\2tMa0\Ö.\^'f+.ÛÎ\2a {}+.#"ac!$`CeV]%fÜ2eV'´t¦!$t w \^]_tdÙ}t&\^\L{}+.#[\v0er]_Û0'(\ çm.m.>Îmôé»> +.# ç¶muöré {}+V# w Zc\7#&\^'f\ÖVer`0Ü2\L+r{ w Z0\7eVÛ0Û0#j+eVÜOZ%f` w Z0\7Ü2+.` w \v w +V{¸Z!$a0#&+$ac!$`CeV]%fÜ^tOÚz$)?Z0\L]\ w Z0+$a -0t&\^a {}+.#.
(12) a0\2]+.`0t w #Re w %f`cØ w Zc\7Ü2\^` w \2#?]_eV`0%¶{}+.'fa w Z0\2+.#j\2] ç¶mVmV>Îmu÷Vé ZCeVtÝÎ\2\^`eVÛ0Û0'(%f\^aÅÝ! 6 ZCeuá³er`0a q %f\^#&#&\ w +Ltj+.'(ÖV\ w Z0\"ÖÆ%(Ý0#Re w +.#¦!IÛ0#j+.Ý0'(\2]ÿe w Z0eV`0a*zr)?Z0\?%f`ÖreV#&%feV`0Ü^\[Û0#j+.Û´\^# w !+V{ w Zc\]Åer`0%({}+.'(a0t,ZCeVtÝÎ\2\^` -0`0a0\^#&'f%(`0\2az w ÛÎ\2#j]_% w t w +a0\2tjÜ2#j%fÝÎ\ w Z0\]+ w %f+.` eV'f+.`cØe 474 = áM% w Z¥e tj%f`0ØV'f\Iac%ft&Ûc'seVÜ^\2]\2` w 9 Ö.\2'(+ÆÜ^% w !Û0eV%f# > eV`0a w Z-0t w +\vÆÛ0'feV%f` w Zc\IeV]Û0'(% w -ca0\La0\^Û´\^`0a0\2`cÜ2\+V{ w Zc\]+Æac\yt&ZCeVÛÎ\2t^z´)?Zc%ftM%ft eÅðV\! ÛÎ+.%f` w {}+.#:Ø.\2`0\^#Re w %f`0Ø_#&\^a0-0Ü2\^a+.#&a0\^#7]+Æac\2'ft^zl)?Z0%ft JQ&UVDXBVJH$J ÂACBED»B A áeVt7t&Z0+oáM` w + Ý´\\^ã´\2Ü w %¶Ö.\y{}+.#?a0%(t&Ü2#j\ w \ çèkré eVt?á"\2'('±eVt?{}+.#?Ü2+V` w %f`-0+.-ct:t¦!$t w \^]_t çmoüré z 8 î-0% w \ytj%f]%f'ser#5Ö$%f\áMÛ´+V%f` w ZCeVt?ÝÎ\2\^`a0\Ö.\^'f+.ÛÎ\2abÝ! 4 eu!{}\2Z JDUVå¶æ¸çmøé z0)?Z0\Ü2#j-0Ü2%feV'*ÛÎ+.%f` w a0\2]+.`0t w #Re w \2ab%f` çmøé»> %ft w Z0\\2î-0%¶ÖVer'f\2`cÜ2\+V{¨a0%(ã´\2#j\2` w eVÛ0Û0#j+eVÜOZ0\^t:+r{¼Ü^-0#&#j\2` w -ct&\{}+.#?t&+.'¶Ö$%f`0Ø w Z0\bÛCeV# w %ser'?a0%(ã´\2#j\2` w %feV'?\2î-Ce w %f+.`ct w ZCe w Ø.+oÖ.\2#j` w Zc\ac!$`Cer]_%(Ü2t-0`0a0\^#Åt w -0ac!Vz")?Z0\]_\ w Z0+$a0t a0\^ÖV\2'f+VÛ´\^ab%(` çèûÆ>0kÆ>moüéâ> %f` çmøé»> eV`ca > ]+.#&\
(13) #&\^Ü2\2` w '(! > %f` çmopé»> \^`CeVÝ0'(\L+.`0\ w +Ü^+.]_Ûc- w \yet&%f`cØ.'f\ 474 = z±êL`0Ü2\ w Z0\Ø.\^+.]\ w #¦! +r{ w Z0\h`0+V`Æ9G'(%f`0\2eV#
(14) ]_eV`0%¶{}+.'fabZCeVt7Ý´\^\2`¥Üuer'fÜ2-c'se w \2a >lw Z0\haÆ!Æ`0eV]_%(Ü2t %ftÛ0#&+íj\^Ü w \2a +.` w +% wu>w Z$-ct 'f\2eVa0%f`cØ w +ïetj\2Ü2+V`0aÆ9G+V#&a0\^# a0%(ã´\2#j\2` w %feV'?Û0#j+.Ý0'f\^]zÂ)?Z0%(tÅ]\ w Z0+Æa á[+.#jðt
(15) \^t&ÛÎ\2Ü2%feV'f'¶!Åá"\2'('áMZ0\2``0+%f` w \^#&`CeV'#&\2tj+.`CeV`cÜ2\d%ftMÜ2+.`ct&%fac\2#&\^a*zC87' w Z0+V-0Ø.Z w Z0%(t?Û0#&+VÝ0'f\^] %ft á[\^'f'±-0`0ac\2#&t w +$+Æa w Zc\2+.#j\ w %(ÜueV'('(! > ÜOZCeV'('f\^`0Ø.%f`cØ w \^ÜOZ0`0%fÜ2eV'¸Û0#&+VÝ0'f\^]_tMeV#j%ftj\y%f` w Z0\Ü^+.]_Ûc- w e w %f+.`+r{ %f`ÖreV#&%feV` w ]ÅeV`c%({}+.'(a0táMZ0\2` %f` w \^#&`CeV'¸#j\2t&+V`CeV`0Ü^\2tyeV#j\Ûc#&\2tj\2` w zÎ)?Z0%(t7'f\2eVa0t w +_Ü2+.]Û0'(%fÜue w \2abeV`ca w \2ac%f+.-0t?Ü2eV'fÜ^-0'se w %f+V`0t > t&\2\ çmn$>±moû$>±mokc>lôrüré z G` w Z0%(tÂÜ2+.` w #j%fÝ0- w %f+V` >.w Z0\:a0\×C`0% w %f+.`+V{*e 4
(16) 4 = ert"er`Å%f`ÖreV#j%seV` w ]_eV`0%({}+V'fah%ftÂ-0tj\2a*z 4 +.#&]_eV' {}+.#&] w Z0\^+.#j!T!Æ%(\2'(a0te¥`0+.`Æ9à'f%f`c\ueV#ÜOZCeV`0Ø.\ +V{:ÖreV#&%feVÝ0'(\2táMZc%fÜOZúeV'f'(+áMt w +Ø.+¢{}#&+V] w Zc\Û0ZCeVtj\ t&ÛCeVÜ^\Lt&Û0eV`0`0\^aÝ! w Zc\L'f%(`0\ueV#Â\^%fØ.\^`0t&ÛCerÜ2\2t w + w Z0\7+.`c\Lt&ÛCer`0`0\2aÝ! w Z0\ 474 =t2z0)?Zc\7Ø.\^+.]_\ w #j%¶9 ÜueV'C\^î$-0e w %(+.`0t5+V{ w Z0\ 4
(17) 4 =t"eV#j\ w Z-0t[%(`0Ü2'(-0a0\2a%(` w Z0\
(18) ÜOZ0eV`0Ø.\:+V{ÖreV#j%seVÝc'f\2t^z.)?Z0\:tReV]\M%fa0\2e > %f` w Z0\Ü2+.` w \v w +V{Ö$%(Ý0#Re w +.#j! t¦!$t w \^]_t > ZCertLeV'(#&\uerac! Ý´\^\2`¢-ct&\2a¥Ý ! V\2/^\2î-0\^'eV`0 a
(19) ,er]ÅeV#jÜOZ0\ çõôÆmé z g
(20) +oá[\Ö.\^# w Z0\!_ac%fa0` w -ct&\ w Z0\7+Vt&Ü2%('f'fe w +.#<9à{}+.#j] ac\2Ü2+V-0Û0'f%(`0Øe w '(%f`0\2eV#Â+.#&a0\^#2z$)?Z-0tÜ2+V]_ÛCer#&%ftj+.`0t áM% w Z + w Z0\2#:]\ w Zc+Æa0tá"\2#j\I`0+ w ]_eVa0\y\vÆÛ0'f%(Ü2% w z q \^'f'(%fÜuer`0+eV`0a = eVt w #&+$a0a0% çèöôé ac\^Ö.\^'f+.ÛcÛ t&%(]_%9 'seV#ÜueV'(Ü2-0'fe w %(+.`0tI%(`ò+.#&ac\2# w + Ü^+.#&#j\2Ü w e¢]_%(t w erðV\ Û0#j\2tj\2` w %(` çèkré zêy`cÜ2\ eVØer%f` > Ü2+.]Û0'f\v9à{}+.#j] #&\2Ûc#&\2tj\2` w e w %f+V`%(t?-0t&\^a¢e w '(%f`0\2eV#t w eVØ.\rz g:\2#j\ > Ø.\2`0\^#ReV'Îî-CeVa0#&e w %(Ü7er`0aÅÜ^-0Ý0%fÜ
(21) `0+.`Æ9à'f%(`0\ueV#j% w %f\2t > eVt5á[\^'f'ÎeVt a0\^Ø.#&\^\2t[+r{*{}#&\^\2a0+.] > eV#&\ w eVðr\2`ï%(` w + erÜ2Ü2+V-0` w z¸87'('%f`ÖreV#&%feV` w ]_eV`0%¶{}+.'factyeV#&\Üuer'fÜ2-c'se w \2a %f`Tebtj%f`0Ø.'(\Ü2+.]Û0- w e w %(+.` > eV`ca w Z0\LaÆ!Æ`0eV]_%(Ü2t+V` w + w Z0\y]_eV`0%¶{}+.'fact[eV#j\L]_eVa0\L\vcÛc'f%fÜ^% w zÆìM+.-0ØVZ0'(!_t&ÛÎ\ueVð%(`0Ø >Æw Z0%ft[a0\2]+.`0t w #Re w \2t w ZCe wIw Z0\`0+V#&]_eV'5{}+V#&] %ft w Z0\ðV\!òÛ´+V%f` w {}+.# w Z0\ e wjw \^`0aCeV` w ac!$`CeV]%fÜ^t+.` w + w Z0\]_eV`0%({}+V'fa0t > eV`0a w Z-0t w ZCe w5w Z0\
(22) Û0#&+.Ýc'f\2]Êe w ZCer`0a_×C`ca0t% w tÂØ.#&+.-c`0a ÝCeVtj%ft5%f` w Z0\ w Z0\^+.#&\^]_t5+V{ q +.%f`cÜueV#j17eV`ca q +.%(`0ÜueV#j19 7-0'serÜ çmôÆ>5m.mV>"moöé z ¼%f`Cer'f'(! > etj%f]Û0'f\a0\^×0`0% w %f+.`T+V{Me 4
(23) 4 = %(` w \^#&]tI+V{ w Z0\Å`c\^á ÖVer#&%serÝ0'f\^t[áM%f'('ÝÎ\dØV%(Ö.\^`*z #%$'&. . . !". ()+*,)-/.10.3242457698,:<;>=1*?2. G` w Z0%(t7ÛCeVÛÎ\2# > ØV\2`0\^#ReV',Ü2+.]Û0- w e w %(+.`0tM{}+.#
(24) e@ a0\^Ø.#&\^\2t<9G+V{s9â{}#&\2\^a0+.] `0+.`Æ9à'f%(`0\ueV#Mt w #&-cÜ w -c#ReV' tj!$t w \2] %fthØV%(Ö.\^`*z)?Z0\ tj!$t w \2] %(teVt&tj-0]\2a w +Ý´\ a0\^Ü2+.-cÛ0'f\^aÇe w '(%f`0\2eV#+.#ja0\2#^zAà{ w Z0%fth%(th`0+ w w Z0\Üuert&\ > \Ö.\^` w -CeV'5'f%(`0\ueV#7Ü2+.-0Ûc'f%f`cØ w \2#j]_tyÜ2eV` Ý´\\uert&%f'¶!¢\^'f%f]%f`0e w \^a*zC+.#7\vceV]Û0'f\ > +.`0\Üuer` -0t&\ e Ûc#&+$Ü2\2ac-0#&\Û0#j\2tj\2` w \^añ%(`ï87ÛcÛ´\^`0a0%¶v m +V{ çèkré»> áMZ0%(ÜOZªeV'f'(+áMt w +¢Ûc- ww Zc\ tj!$t w \2] -c`0a0\2# B +.tjÜ2%f'('se w +.#j!{}+V#&]'t CIe wyw Zc\h'f%f`c\ueV#
(25) t w erØ.\Vz*)?Zc\`c+.`Æ9G'(%f`0\2eV#&% w %(\2t:eV#&\h+r{"tj\2Ü^+.`0aTeV`0a w Z0%(#&a¥+.#ja0\2# %f` a0%ftjÛ0'serÜ2\2]\2` w z0)?Z-0t w Z0\\2î-Ce w %f+.`ct?+V{]+ w %(+.` w eVðV\ w Zc\{}+V#&E ] D FHG@IKJMLNLNL . O. Z ^ c ZR ^ Z ^ RZ ^ c Y Z Y ` ^ _ Y Z Y ^ _ Y c b Z a Z d _ ^ e QSP RHTVU3R W QSRHT X X Q Q T X X X Q Q Q Igfih []\ []\. ÙmÚ.
(26) áMZc\2#&\ QSR t w eV`0a0td{}+.# w Z0\]+ÆaCer'eV]Û0'f% w -0a0\I+V{'(%f`0\2eV#y]_+$a0\ G > áM% w ZT\^%fØ.\^`c{}#&\^î-0\2`0Ü! UR z+G` áMZ0e w {}+.'f'(+áMt ><QSR %ft?Üuer'f'f\^a w Z0\7 P4jlkBâN&UVå¨N l QjHVBEAÎUVD<J z Ler]_Û0%(`0Ø %ft`0+ w Ü2+.`ct&%fac\2#&\^aù%f`³Ù m Úz5g
(27) +oá"\^Ö.\^# > {}+.#_'(%fØ.Z w '(!ïa0eV]_ÛÎ\2añtj!$t w \2]t > {}+.#háMZ0%fÜOZ w Z0\haCeV]Û0%(`0ØÅ%(tL]-0ÜOZ¥tj]ÅeV'('f\^# w ZCeV` w Zc\h\2%fØV\2`c{}#j\2î-0\2`cÜ^! > aCeV]Û0%f`0ØÅ]Åeu!Ý´\hera0a0\2ae{ w \2# w Z0\ `c+.`Æ9G'(%f`0\2eV#ÜOZCer`0Ø.\:+V{ÖreV#j%seVÝ0'(\2t > eVt5edtj]Åer'f'0ÛÎ\2# w -0#jÝCe w %(+.` w + w Z0\MÜ^+.`0t&\^#jÖre w %(Ö.\
(28) ÜueVtj\Vz8ßt&ÛÎ\2Ü^%(×CÜ ac%ft&Ü^-0t&tj%f+.`b+.` aCeV]Û0%(`0ØhÜueV`bÝÎ\{}+V-0`0a %f` t&\^Ü w %f+.` n z ô z 8
(29) t&t&\^]Ý0'¶!+V]{ a0%(t&Ü2#j\ w \?`0+.`Æ9à'f%f`c\ueV#,+.t&Ü^%f'('se w +.#&t,Û0#&+$a0-0Ü^\2t\^î$-0e w %(+.`0t+V{Î]+ w %(+.`I+r{ w Z0\{}+.#j] Ûc#&\2tj\2` w \^aò%f` 3 îÎz[Ù m Úz,g
(30) +oá"\^Ö.\^# >,w Z0\]_\ w Z0+$aÛc#&+.ÛÎ+.t&\^aZ0\^#&\_ÜueV`eV'ftj+ÝÎ\ÅerÛ0Û0'f%(\2a w +Ü2+.` w %9 `-0+V-0t t w #&-0Ü w -0#j\2t tj-0ÜOZßeVtt w #&%f`cØ.t > Ý´\2eV]t > eV#&ÜOZc\2t > Û0'se w \2t+.#t&Z0\^'f'(t > áM% w Zúá"\ueVðñØ.\2+V]_\ w #&%(Ü `c+.`Æ9G'(%f`0\2eV#&% w %(\2t2zV)?Z0\LÛ0#j+íj\2Ü w %f+V`Å+.` w + w Z0\
(31) 'f%f`c\ueV#Â\2%(Ø.\2`ct&ÛCeVÜ^\2t+r{ w Z0\
(32) ÛCeV# w %ser'Îac%(ã´\2#&\^` w %ser'C\2î-Ce9 w %f+.`ctáMZc%fÜOZïØ.+oÖV\2#&`ct w Zc\Ö$%fÝc#Re w %f+.`+V{?tj-0ÜOZït w #&-cÜ w -c#&\2t Ù J2næ mæ,ó +Vp` orqV#js] qV` w !$Û´\_\2î-Ce w %f+.`ctOÚ '(\ueVact w +_eÛc#&+.Ý0'(\2]+V{ w Z0\y{}+.#&] Ù m ÚyÙ}t&\2\y{}+.#?\vceV]_Ûc'f\ çõô.ôé»> +.# ç ôröÆ>Îôr÷Æ>Îô.øé Úz #H$t#. uv*w.1-i;>.3*3:x6y.1*,;'z=10>{?2.
(33) 8 t¸á[eVt,Û´+V%f` w \^ad+V- w Ý! 6 z 6 ZCeuáïeV`0aI7z q %f\2#j#&\ > %f`ÖreV#&%feV`0Ü2\¼%ft w Zc\5Ü^\2` w #&eV'Û0#j+.Û´\^# w !y+r{c'(%f`0\2eV# ]+$a0\2t w ZCe w ÜueV`hÝÎ\\v w \2`0ac\2a w + w Z0\`0+V`Æ9G'(%f`0\2eV#¸#ReV`0ØV\Vz.ä5!I%(`ÖreV#j%seV`cÜ2\Âá[\]\uer` w ZCe w e7]+ w %(+.` %(`0% w %se w \2a_eV'f+V`0ØIe]ÅeV`c%({}+.'(aÅe w5w %(]_\}| I~f áM%f'('ÎeV'(á[eu!Æt[Ý´\
(34) Ü2+.` w er%f`0\^aÅáM% w Z0%f` w Z0\L]_eV`0%¶{}+.'fa > {}+.# \Ö.\^#j! |% f z C+.#:e'(%f`0\2eV#?tj!$t w \2] >Îw Z0\d\2%fØV\2`0tjÛCeVÜ2\^tLeV#j\Û0'seV`0eV#M%f`ÖreV#&%feV` w t&-0#¦{XeVÜ2\^t7Ø.#&eVa0-Ce w \2a Ý! w Z0\7Û0Z!Ætj%fÜ2eV'Ü^+Æ+.#ja0%f`0e w \^t2z$8 ]_+ w %f+V`_%(`0% w %se w \2a_eV'f+.`cØ w Zc\
(35) ×C#jt w ]+Æac\ > {}+.#[\v0er]_Û0'(\ > áM%f'('lÝ´\ tj-0ÜOZ w ZCe w D FG~ <F | fih QSR | Igf<L. w %ft w Z0%(t
(36) Ûc#&+.ÛÎ\2# w ! w ZCe w +.`0\I%(t
(37) %(` w \2#j\2t w \2a %f` \v w \2`ca0%f`0Ø w + w Z0\I`c+.`Æ9G'(%f`0\2eV#M#ReV`cØ.\VzlÞßZ0\2` w Z0\ ]+ w %f+.`ª%ftØ.\ w&w %(`0Ø{XeV#{}#j+.] w Zc\\^î$-c%f'f%(Ý0#&%(-0] ÛÎ+.%f` w2> eV`0aúáMZc\2` w Zc\`0+V`Æ9G'(%f`0\2eV#&% w %f\^tÜuer`0`0+ w ÝÎ\y`0\^Ø.'f\^Ü w \^a er`!$]+.#&\ >cw Zc\y%f`ÖreV#&%feV` w t&-0#¦{XeVÜ2\^tMÝ´\^Ü2+.]\yÜ2-0#¦Ö.\^a]_eV`0%¶{}+.'fa0t^zÆ)?Zc\d\ã\^Ü w +V{ w Zc%ft ÝÎ\2`ca0%f`0Ø:'f\2eVa0t w +
(38) #&\^t&%fac-CeV'\vÆÜ^% w e w %f+V`er`0aIÜ^+.` w eV]%f`Ce w %f+V`y+V{0Z0%(Ø.Z0\^#¦9à{}#j\2î-0\^`0Ü^!d]+Æa0\^t w Z0#j+.-0Ø.Z `c+.`Æ9G#j\2tj+.`CeV` w `0+.`Æ9à'f%f`c\ueV# w \2#j]_t:%f`TÙ m Ú > áMZ0%(ÜOZ Ü2+V-0'fabÝ´\Ö$%f\á[\^a¢eVt B tj+.-0#&Ü^\ w \2#j]_>t COzC)?Z0%(t:{XerÜ w á[eVty+.Ýct&\2#¦Ö.\^a{}+V#yeÅ'f+V`0Ø w %(]_\eVØ.+ > tj\2\{}+.#
(39) \vceV]Û0'f\ ç ôVpé z 7\^×C`c%f`0Ø e 4
(40) 4 = eVtLeV`¥%f`ÖreV#&%feV` w ]_eV`0%¶{}+.'fa > áMZc%fÜOZß%ft w eV`0Ø.\^` ww + w Z0\¥'(%f`0\2eV# \^%fØ.\^`0t&ÛCerÜ2\e ww Z0\¥+.#&%(Ø.%f` > er'f'f+oáMt w +ò#&\^Ü2+oÖ.\^# e aÆ!Æ`0eV]_%(Ü2t?Ø.+oÖV\2#&`c\2a Ý!beht&%(`0Ø.'(\ya0%ftjÛ0'seVÜ^\2]\2` w 9âÖ.\^'f+$Ü2% w !_ÛCeV%(# çèûc>lkc>*moüé z G` w Zc%ft[Û0eVÛ´\^# > e`0+.`Æ9à'f%f`c\ueV#"ÜOZCeV`0Ø.\7+V{¸ÖVer#&%serÝ0'f\^t"áM%f'('lÝ´\ya0\×C`0\^a áM% w Z w Z0\LZ0\^'fÛ+V{,`0+.#j]Åer' {}+V#&] w Z0\^+.#j!VzC)?Z0%ft[áM%('f'Ît&ÛCer` w Z0\yÛ0ZCeVtj\yt&ÛCerÜ2\yáM% w Z w Z0\ 4
(41) 4 =t^z0)?Z0\t&% w -Ce w %f+.`Å%fttjðV\ w ÜOZ0\2a%f` ¨%fØ.-0#j\ m zl)?Z0\IZ0+V#&%f/^+.` w eV'¸er`0aÖV\2# w %fÜ2eV',evÆ%ft:#&\2Ûc#&\2tj\2` w '(%f`0\2eV#M\2%(Ø.\2`0tjÛCeVÜ^\2t2zÎ)?Z0\^t&\heV#j\%(`b{XerÜ w Ûc'seV`0\^tMÝ0- w eV#&\#&\^Û0#&\^t&\^` w \2a¥Z0\^#&\dÝ! 'f%f`c\2t?{}+.#?Ü2+V`ÖV\2`0%(\2`0Ü^\Vz´)?Z0\Ü^-0#jÖV\2a¢%(`ÖVer#&%ser` w ]_eV`0%¶{}+.'fact er#&\beV'ftj+¥#&\^Û0#&\^t&\2` w \2a*z5)?Z0\ %fa0\2e¥Ý´\^Z0%f`0a w Z0%fth`0+V`Æ9G'(%f`0\2eV#ÜOZCeV`cØ.\ +V{
(42) ÖreV#j%seVÝc'f\2tI%ft w +-0tj\ w Z0\ Ü^+Æ+V#&a0%(`Ce w \^t'(%f`0ðr\2a w + w Z0\Å%(`ÖreV#j%seV` w ]_eV`0%({}+V'fa0ty%(`+.#ja0\2# w + \vÆÛ0#&\^t&t w Zc\Åac!$`CeV]%fÜ^t > eVtd% w %ft #j\2Û0#j\2tj\2` w \^aù%f`ª×CØ.-0#j\ m áM% w Zúe Ü^-0#jÖV\2aúØ.#&%(a*z)?Z0%(t`c+.`Æ9G'(%f`0\2eV#ÜOZCer`0Ø.\b+V{
(43) ÖreV#j%seVÝc'f\2táM%('f'"Ý´\ Ûc#&+.ÛÎ\2#j'(!a0\×C`0\2aïeV`0aÜ2eV'fÜ^-0'se w \2a %f` w Zc\_`0\v w t&\^Ü w %f+.`0t^z,ÞT\áM%f'f'tjZ0+oá w ZCe w % w %ftdÜ2+.`0tj%ft w \2` w áM% w ZbeV'('*Û0#&\Ö$%f+.-0t:eVÛcÛ0#&+erÜOZ0\2t çèkc>±mø$>±muûÆ>±mokré z }$'&. . ÑdÐ. rÑÐA Ï?ÑdÐ. r. =1;>*?].1-i.1*?{=3;>*,.-/] ¢¡£5,0'.1¤¥2V:<¦?)+=-/)§6y2. G` w Zc%fttj\2Ü w %f+.` > á[\t w eV# w Ý!ï#j\2Üuer'f'f%(`0Ø w Z0\ w Zc\2+.#j\2]th+V{ q +.%(`0Üuer#&1 eV`0a q +.%f`cÜueV#j19>
(44) -0'seVÜ > áMZc%fÜOZ¢er#&\ w Z0\dÜ2+V#&`0\^#&t w +.`0\^t7+V{ w Z0\d`0+.#j]Åer'{}+.#&] w Z0\^+.#j!VzÎ)?Zc\%(` w \2#j\2t w \2a#&\uera0\2#:ÜueV`b#&\{}\2# w + çmôÆ>m.m2é {}+.#Me]+.#&\L{}+.#j]Åer'Û0#j\2t&\^` w e w %f+.`*z.
(45) (X2 , Y2 ). (R 2 , S2 ). (R 1 , S 1 ) (X 1 , Y1 ). ¨ª©«%¬¨7 m b6 ðr\ w ÜOZ¥+V{ w Z0\ÛcZCeVt&\t&ÛCerÜ2\d+V{t¦!Æt w \^] Ù m Ú%f` w Z0\Ö$%fÜ2%(`0% w !Å+V{ w Z0\+V#&%fØV%f`*zcg
(46) +.#j%f/2+V` w eV' Ve `0a Ö.\2# w %(ÜueV'¸evÆ%(t®DC'f%f`c\ueV#\^%fØ.\^`0t&Û0eVÜ2\^tÙ w Z0\!beV#&\%f`{XeVÜ w Û0'ser`0\2tRÚ > Ø.#&eVa0-Ce w \2abÝ! w Z0\dÛ0Z!$t&%(ÜueV' Ü2+$+.#&a0%(`Ce w \2t?DÆa0%ftjÛ0'serÜ2\2]\2` wªQ eV`0aÅÖV\2'f+$Ü2% w !@¯z/C+.#"Ü2'ser#&% w ! > +.`0'(! w á"+h\2%fØV\2`0Û0'feV`0\^tZCeuÖ.\yÝÎ\2\^` #&\2Ûc#&\2tj\2` w \^a > eV' w Z0+V-0Ø.Z@ eV#&\
(47) Û0#&\^t&\^` w zC[-0#¦Ö.\^abZc\ueuÖ!Å'(%f`0\^t,D$%f`ÖreV#&%feV` w ]ÅeV`c%({}+.'(a0t > ØV#ReVa0-0e w \^a Ý! w Z0\ `0\^á ÖVer#&%serÝ0'f\^t Da0%ftjÛ0'seVÜ^\2]\2` ±w ° er`0aúÖV\2'f+$Ü2% w ³ ! ²z)?Z0\b'f\Ö.\2'M'(%f`0\^teVt&tj+ÆÜ^%se w \2aªáM% w Z w Z0+.tj\
(48) ÖreV#j%seVÝ0'(\2t > áMZ0%fÜOZer#&\7#j\2'fe w \^a w + Q h ¯´ÂÝ!_eI`c+.`Æ9G'(%f`0\2eV##&\^'se w %f+.` > eV#&\
(49) eV'ftj+I#j\2Û0#j\2t&\^` w \2az )?Zc\'(\ueVa0%(`0Øh%fac\uehÜ2+.`ct&%ft w t:+V{¨t&%f]Û0'(%({E!$%f`0ØIeV'f' w Z0\`0+.`$9G'f%(`0\uer# w \^#&]t > áMZ0%(ÜOZ eV#j\`0+ w ac!$`Ce9 ]_%(ÜueV'('(!%f]Û´+V# w er` w2> %(` w Z0\yÖ$%fÜ^%f`0% w !Å+V{¼eh×cvÆ\2abÛ´+.%(` w zl[+.`ct&%fac\2#:ehac!$`CeV]%fÜuer'*tj!$t w \2]µD Ùô Ú · ¶ I¹¸ · TºV · h áMZ0%fÜOZïZ0eVte×Ævc\^aïÛÎ+.%f` w e ww Z0\ +.#j%fØ.%(` · If > áMZ0\2#j\ % w %fteVt&tj-0]\2a w ZCe w ºp · y#&\^Û0#&\^t&\^` w t w Z0\`0+.`Æ9à'f%f`c\ueV# w \2#&]t > \vcÛ0eV`0a0\^a¥%f` ÛÎ+.'¶!Æ`c+.]_%feV'*tj\2#&%(\2t > áM% w Z ºp f I»f z q +.%f`cÜueV#jv1 èt w Zc\2+.#j\2] t w e w \2t w ZCe wu> %¶{ w Z0\2#j\beV#&\ `0+#&\^t&+.`0eV`0Ü2\b#&\^'se w %f+.`òÝÎ\ w á"\2\^` w Zc\b\^%fØ.\^`ÖVer'f-0\^t+r{ ¸ >w Z0\^`ú% w %ft Û´+.tjt&%(Ý0'f\ w +×0`0a eh`0+V`Æ9G'(%f`0\2eV#ÜOZCeV`cØ.\+V{¨ÖreV#j%seVÝc'f\2t?D Ùö Ú · I£¼ T e ¼ h t&-0ÜOZ w ZCe w?w Z0\tj!$t w \2] Ù ô Ú[#&\2ac-0Ü2\^t w +% w t?'(%f`0\2eV#ÛCeV# w D Ù÷ Ú ½ ¶¼ Ig¸¼ªL G` \2î-Ce w %f+.`¥Ù ö Ú >w Z0\L`0+V`Æ9G'(%f`0\2eV#ÂÜ2+$+.#&a0%(`Ce w \2t w #Rer`0tj{}+.#j]Åe w %f+V`_%(t w eV`0Ø.\^` w[w + w Z0\L%(a0\2` w % w !Ù»eV`ca w Z-0t e f I¹f Ú > eV`0a e ¼ #&\^Û0#&\^t&\^` w t7ÛÎ+.'(!$`0+V]_%feV'lZ0%fØ.Zc\2#¦9à+.c¢#&ÀÁacc \2# w \^#&]t2z )?Zc\#j\2tj+.`CeV`0Ü^\#&\2'fe w %(+.`0t
(50) Ý´\ w á[\^\2` w Z0\h\2%(Ø.\2`ÖreV'(-0\2´t ¾d¿ []\ÂÃÂÃÂ +V{ w Zc\h'f%f`c\ueV#
(51) +.Û´\^#Re w +.# ¸ eV#&\ya0\×C`0\^a Ý!ÄD X Z Z Y Z ¿ h FÆÅ,IÇJMLNLÈL µO4¿bÉ I X []\Ê. Ê. Z. £f<h. Z. Y Ê. IG~ <h. Ùø Ú. áMZ0\2#j\ G %ftÜueV'('f\^a w Zc\Å+.#ja0\2#+r{?#&\^t&+.`Cer`0Ü2\ çm.mV>5môÆ>5moöré»> eV`0a w Z0\Å`-0]IÝ´\^#+V{?\^%fØ.\^`ÖreV'(-0\2t +V{ w Z0\7tj!$t w \2]bz q +.%(`0Üuer#&197-0'feVÜv èt w Zc\2+.#j\2] t w e w \2t w ZCe w %({ w Z0\2#j\eV#&\L#j\2tj+.`CeV`0Ü^\L#&\^'se w %f+.`ct >w Z0\^`.
(52) re 'f']+.`0+V]_%feV' w \2#j]_tM%(` ºV · w ZCe w er#&\y#&\^t&+.`0eV` w Ü2eV`0`0+ w Ý´\y\^'f%f]%f`0e w \^a*zÆ)?Zc+.t&\ w Zc\2+.#j\2]t
(53) er#&\ ac\2]+.`0t w #Re w \2aÝ!¥t&-cÜ2Ü2\^t&tj%(Ö.\_\2'(%f]%f`Ce w %f+.`ct:+r{ w Z0\hî-CeVa0#&e w %(Ü w \^#&]t > Ü^-0Ý0%fÜ w \2#j]_t^z(z¶z*%f` ºp · > Ý! %f` w #&+$a0-0Ü2%(`0ØbebÛÎ+.'¶!Æ`c+.]_%feV' e ¼ L+V{ w Z0\_eVÛ0Ûc#&+.Û0#j%se w \a0\2Ø.#j\2\ > eV`caT\^'f%f]%f`0e w %(`0Ø w Zc\ w \2#&]t w ZCe w Ü2eV`ÝÎ\ÜueV`cÜ2\2'('f\^a çm.m.>môÆ>±moöé z }$t#. ËÌ8?870>;>.A:<;>=1*:<=yw%;Í?-i.:<=-iÎ2Î%2Ï:<)§6y2. )?Z0\#&\^]Åer%f`0a0\^#L+V{ w Z0\er# w %(Ü2'(\Ü2+.`ct&%ft w t%f`¥#j\2Û0#j+Æac-0Ü2%(`0Ø w Z0\tRer]_\ha0\^]_+V`0t w #Re w %f+.` > áMZ0%fÜOZ ]\uer`0t[×C`0ac%f`0Ø e z4 w %ft[eVÛ0Û0'(%f\^aÅZ0\^#&\ w + w Z0\7ÛCeV# w %fÜ^-0'seV#5Üuert&\L+V{,e`0+.`ÆcdÀÁ9à'fc %f`c\ueV#ÂÖ$%fÝ0#&e w +.#¦!tj!$t w \2] +r{ w Z0\7{}+V#&] Ù m Ú > ÜOZ0eV#ReVÜ w \^#&%f/^\2aÝ!ÅeV` \2%(Ø.\2`ÖreV'(-0\7tjÛ´\^Ü w #j-0]Db¾dÐ®Ñ U []\ÂÃÂàz$)?Z0\LÖV\2Ü w +.#[×C\^'fa -c`0a0\2#5t w -0ac!háM%('f'0ÝÎ\M#&\2ac-0Ü2\^a w +% w tÂ`0+.#&]_eV'c{}+V#&]bzM w áM%f'f'ÆÝ´\:t&Zc+áM` w ZCe w5w Z0X \M`0\^áùÜ2+$+.#&a0%(`Ce w \2t er#&\'f%(`0ðV\^a áM% w ZbehØ.#&%(a a0\^×C`c\2a Ý! w Z0\%f`ÖreV#&%feV` w ]_eV`0%({}+V'fa0t^z )?Z0\7t w #j\2`0Ø w Z+V{ w Z0\7`c+.#&]_eV'C{}+.#&] w Z0\2+V#j!{}+.'f'(+áMt{}#j+.] w Z0\
(54) {XeVÜ w5w ZCe w +.`0\
(55) %ft"eVÝ0'(\ w +Ið`0+oá er'f'c%(]_ÛÎ+.# w eV` w ac!$`Cer]_%(ÜueV'Æ`0+.`Æ9à'f%f`c\ueV# w \2#j]_tÝ!htj%f]Û0'(!'f+$+.ð%f`cØye ww Zc\:\^%fØ.\^`ÖVer'f-0\?tjÛ´\^Ü w #j-0]+V{ w Z0\5'f%f`c\ueV#¸+.ÛÎ\2#&e w +.#^zg
(56) \^#&\ > á"\[ZCeuÖV\ w +
(57) ]ÅerðV\"e:a0%(t w %f`0Ü w %f+V`ÝÎ\ w á"\2\^` D»QB oBXUVå #j\2tj+.`CeV`0Ü^\[#j\2'se w %f+V`0t er`0a¥%f` w \^#&`Cer'¼#&\^t&+.`0eV`0Ü2\rz±)¨#j%(Ö$%ser'¨#j\2t&+V`CeV`0Ü^\h#&\2'fe w %(+.`0t7eV#&%(t&\I{}#j+.] w Z0\{XeVÜ wLw Z0e wu> {}+.#yeÅÛ0-c#&\2'¶! %(]ÅerØ.%f`Cer#j!\2%(Ø.\2`0tjÛ´\^Ü w #&-0] > \2î-Ce w %f+.`TÙ ø Ú[%ftMeV'¶áeu!$t?{}-0'(×0'f'f\^a áM% w Zb#j\2'fe w %(+.`0t+V{ w Zc\{}+V#&]ÒD c c ^ª× ^ Ùp Ú FÆÓ]hÔFÕ O Ñ U I Ñ ÖU U T ÑU L g:\2`0Ü^\ w Z0\^#&\heV#j\hÜ2-0Ýc%fÜ w \2#&]t w ZCe w Ü2eV`0`0+ w Ý´\h\^'f^ %f]c%f`0e w \^ab{}#j+.] Ù m Úz C+.#7\v0er]_Û0'(\ > \2î-Ce w %f+.` Ù p Ú[Ü2+V#&#&\^t&ÛÎ+.`0a0t w +ehÜ2-cÝ0%fÜ w \^#&] +r{ w Z0\y{}+.#&] Q W Q %f` w Z0\ Ó4ØÚÙ +.tjÜ2%f'('se w +.#2z G` w \^#&`Cer'0#&\^t&+.`Cer`0Ü2\MeV#j\eV'(' w Z0\+ w Z0\2#¨#&\^'se w %f+.`0t,Ü2+V` w eV%f`c\2ah%f`Ù ø Ú,eV`0aIáMZ0%(ÜOZeV#&\[`0+ w¼w #&%¶ÖÆ%feV'âz C+.#"\vceV]Û0'f\ > %¶{ w Z0\^#&\y\vÆ%(t w e#j\2'se w %f+V`Å+V{ w Z0\L{}+.#& ] D U Ig U >$w Z0\^`bet&\2Ü^+.`0aÆ9à+.#&ac\2#?%f` w \2#&`0eV' #j\2tj+.`CeV`0Ü^\¢%fttRer%fa w +ï\vÆ%(t wu> eV`0aÇe]+.`0+.]%seV' w \2#j] +VW { w Zc\{}\ +.#j] Q \W áM%f'('?Ý´\-0`0#j\2]+ÖreVÝc'f\ Ù}#&\^t&+.`Cer` w Ú%f` w Z0\\Ö.+.'(- w %(+.` \2î-Ce w %f+.`{}+.# Q W ç¶m.mr>±môÆ>*muöc>lô.ôé z w %ftyZ0\^#&\_cdÀÁeVc t&tj-0]\2a w ZCe ww Zc\2#&\_eV#j\`c+%(` w \2#j`CeV'#&\^t&+.`0eV`0Ü2\_#&\^'se w %f+.`0tyÝÎ\ w á"\2\^` w Zc\\^%fØ.\^`Æ9 ÖreV'(-0\2t ¾dÐ®Ñ U []\ÂÃÂà+V{ w Z0\tj!$t w \2] Ù m Úz¸g:\2`0Ü^\ eV'('¼î-CeVa0#&e w %(Ü w \2#j]_tdeV#j\`0+.`Æ9à#&\2tj+.`CeV` w eV`0a Ü2eV`òÝÎ\ \2'(%f]%f`Ce w \2a*z¨X [-0Ýc%fÜ w \2#&]theV#j%ftj%f`0Øb{}#&+.] w Z0\ w #&%¶Ö$%seV'Â#&\^t&+.`0eV`0Ü2\ #j\2'se w %f+V`0tdáM%('f'5`0+ w Ý´\ Ü2eV`0Ü^\2'f'(\2a*zc)?Z0%ftM%ft?ac\2]+.`0t w #Re w \2abÝ´\^'f+oáz Ó Ò ÐϸÕ^Ô Ï§Ð Ý G` w Z0%(tt&\^Ü w %f+.` > á"\Ma0\^×0`0\ w Z0\?`0+V`Æ9G'(%f`0\2eV#¼ÜOZCer`0Ø.\M+V{lÖreV#&%feVÝ0'f\^t¼áMZ0%(ÜOZ_Ü2eV`0Ü2\^'ftÂeV'('cî-CeVac#Re w %fÜ w \2#j]_t^z087t w Z0\Û0#&+$Ü2\^t&t&%(`0Ø+V{ w Z0\yî-Cera0#Re w %fÜ w \2#&]ta0+$\2tM`0+ w %f`Ö.+V'(Ö.\yÜ^-0Ý0%(Ü w \2#j]_t > tj!$t w \2] Ù m Ú %(t w #j-0`0Üue w \2a w +t&\^Ü2+.`ca+.#ja0\2# > eV`0ab%ftáM#j% w&w \2`ÄD Û. Ü . Ù n eÚ Ù n ÝlÚ. QS¶ R I ¯ R h × × Z ^ RZ ^ Y Z Y ` ^ _ b Z a ¶¯ R I U3R W QÞR X X Q Q L []\. Ù w Z0\]\2` w %(+.`ÄD FG@IKJvLÈLNL áM%('f'*ÝÎ\y+.]% w&w \2a áMZ0\^` `0+ w Ü2+.`c{}-ct&%f`cØÚz )?Z0\L×0#&t w t w \^ÛÜ2+.`ct&%ft w t+r{¸a0\^×C`c%f`0ØeItj\2Ü^+.`0aÆ9à+.#&a0\^#ÛÎ+.'(!$`0+.]áM% w Z. . ÖVer#&%serÝ0'f\^tLÙ¥ ÛCeV%(#&t.
(58) a0%ftjÛ0'seVÜ^\2]\2` w 9âÖ.\^'f+$Ü2% w !cÚzi w %ft?ÜOZ0+Vt&\2` w Ve `cØ.\2` wMw + w Zc\d%(a0\2` w % w ! > eV`0ab%ftáM#&% w&w \2`ÄD. â. QSR I»ß RT Y Z X []\ â ¯ R I RT Y Z X []\. Z^ Z ^ Z ^ãâ Z â ^ Y ^`X _ Z ¥à R ß ß TÌá R T YZ X []\ ZR ^ Z ^ ZR ^ãâ Z â ^ Y ^`X _ Z æå ß ß Tç T YZ X. RZ ^. Y^ X []\+ä Y^ X. Zâ ^ h. Ù û eÚ. ZR ^ Z â ^ ß L. Ù û ÝlÚ. ß. []\ []\]è. ß R h R ÅeV#&\ w Z0\¥`c\^á ÖreV#&%feVÝ0'f\^t2z5)?Z0\¢ÛÎ+.'(!$`0+V]_t¢Ù û ÚeV#&\báM#&% wjw \^` %f` w Z0%ft{}+.#&] w + w eVðV\ Ü2+.]]- w %f`0Ø eV`caT`0+V`Æ9GÜ^+.]_]I- w %(`0Ø w \^#&]td%(` w +eVÜ2Ü^+.-0` w z 6 +.]\hÛ0#&eVÜ w %fÜuer'{}+.#&]-c'seV\^ty'f%f`cðV\2a w + w Z0\]_eV`0%fÛc-0'se w %f+.`_+V{¨t&-0ÜOZÛ´+.'¶!$`0+.]t?eV#&\Ø.%¶Ö.\^`%(` eVÛ0ÛÎ\2`0a0%v 8Iz Z^ Z^ Z^ Z^ )ZR ^ ?ZRZc^ \À -0`cð$`c+áM`+V{ w Z0\Û0#j+.Ý0'f\^] eV#j\`0+oá w Zc\ W T J [Ü^+Æ\þ_Ü^%f\^` w tS¾ à R h á R h R h å R h ç Z h ^ â Z zÆâ )? ^ Z0\Z ! â ^ eV#j\7a0\ w \^#&]%f`0\^a Ý!Å%(` w #&+$a0-0Ü^%f`0ØÅÙ û ÚÂ%f`¢Ù n ÚzÆ)?Z0%(t[Ø.\^`0\2#&e w \^t w \^#&]t[+V{ ä w Z0\7{}+.#j] ß ¶ ß è h ¶ h ß ¶ LNLNL )?Z0\^!eV#&\LÜ^-0]ÝÎ\2#jt&+.]\L{}+.# w Z0\y%fa0\^` w %(×0Üue w %f+.` +r{ w Z0\ya0%¶ã\^#&\2` w ]+.`0+.]%ser'ft > Ý´\^ÜueV-0tj\L%f`ÖV+.'(Ö$%f`cØ w Zc\7a0\^#&%(Öre w %(ÖV\
(59) +V{,eÖreV#&%feVÝ0'f\:eVØ.eV%f`0t w"w %f]\Vz)?Z0%(t[%ft5#&\^]_\^a0%f\^aÅÝ!_+.Ý0t&\^#jÖ$%f`cØ w ZCe w2> e w '(+á"\2#M+.#ja0\2r# D Z â Z â Ù k eÚ ß â ¶ R I × RªTÌés ß W h W Z h â Z ¶R I Ù k ÝlÚ U R W ß RTÌé@ ß,W h W h Z â Z áMZ0\2#j\ és ß W h W t w eV`ca0tb{}+V# eV'f'Lî-Cera0#Re w %fÜ¥î-CeV` w % w !ß%f`ÖV+.'(Ö$%f`cØ w Z0\¥ÖreV#&%feVÝ0'f\^t2z?g:\2`0Ü^\ > {}+.# \vceV]Û0'f\ > á[\dZCeuÖ.\D Z ^ â Z ^ Z â Z ߶ ß. I. ß. Té@ ß?ê h. êh. Z ^ â Zâ ^ Zâ ^ ¶ß ß h ¶ h ß ¶ LNLÈL. áMZ0\2#j\ w Z0\MeVÜ^Ü2-0#&eVÜ^!Iâ%ftZ `c^+áÇ× e w Z Ü^-0Z Ý0â %(^ Üâ +.Z#&â ac^ \2#2zV)?Z$-ct"er'f' w Z0\ w \2#&]t+V{ w Z0\[{}+.#j] ÜueV`bÝ´\y#j\2Û0'feVÜ2\^aÝ! ß h U W ß h LÈLNL > eV`0a w Z0\%fac\2` w %¶×CÜue w %f+.`%(t?Û´+Vt&t&%(Ý0'f\e w +.#&a0\^# w á[+cz ÞßZc\2` w #&-c`0Üue w %f`0Øer'f' w Z0\deVÝÎ+ÖV\a0\^ÖV\2'f+VÛ0]_\^` w t w +t&\^Ü2+.`ca+.#ja0\2# > Ù n Ú[%ft`0+oáëáM#&% wjw \^`ert®D × Z Z ^ Z â ^íì Z ^ × ^ RZ ^ â Z ^ RZ ^ R ¶ß R¢T Y Z X Y ^X _ Z7ë ¥à R U W á ß T¥à 3 U3W á ß []\ Z ^ â ZR ^ â Z â ^ RZ ^ T Y Z X Y^ X I RT Y Z X Y ^`X _ Z ¥å ß ß Tç []\ []\ []\è â ZR ^ × ^ ZR ^ â Z ^ ZR ^ × Z ZR ^ Z â ^ ¶ RÁT Y Z X Y ^X _ Z ë ¥å U3W ç ß T¹æå U3W ç ß []\ × Z ^ Z ^ RZ ^ RZ ^ â â Z ` ^ _ Y Y Z T YZ X I U3Rï W î ß RT X X ¥à ß ß TÌá. T YZ X []\ ZR ^ Z â ^ ß. []\ ä h. ì. T YZ X []\ Z^ Y^ X R ][ \ []\ ä. []\. Z ^ª× ^ Z ^ RZ ^ â â U3W ß ß . Y^ X. ß. Y^ X. ZR ^ â Z â ^ª× ^ Z ^ U3W ß ß . []\ è Z â ^íð×. YZ X []\. Z^ Z ^ Y ^`X _ Z a R ß ß L. Ù moü eÚ Ù moü ÝlÚ. ?) Zc\:'feVt w t w \^Û_%(t w Zc\:%(a0\2` w %(×CÜ2e w %(+.`+V{ Z w Z0\?ac%(^ ã´\2#&\^` w ]_+.`c+.]_t¼%f`bÙ muü Úzr)?Z0%ft%(t#&\uer'f%f/^\2aer{ w \2# `0+ w %(Ü2%(`0Ø w ZCe w {}-0'f'´t&-0]tÙX+V{ w Z0\y{}+.#j]ñ X []\ ñ X []\ Ú"áM% w ZbÜ^+.]]- w %(`0Ø w \^#&]t?ZCeuÖ.\dÝ´\^\2`b%f` w #j+r9 a0-0Ü2\^a w Z0#j+.-0Ø.Z w Z0\Û0#&+$Ü2\^t&t2z)?Z0%ft
(60) %ft:t&%f]Û0'¶! #&\2tj+.'(ÖV\2a¢Ý!#&\^Ü2+.]Ýc%f`0%(`0Ø w Z0\ w \2#&]t > eVÜ^Ü2+.#ja0%f`0Ø w +e{}+.#&]-c'se > Ø.%(ÖV\2`b%f`87ÛcÛ´\^`0a0%¶v8Iz )?Zc\Ü2+$\^þÜ2%(\2` w t¼+V{C'f%(ðV\5Û´+oá"\2# w \2#j]_t¨eV#&\"\2î-Ce w \2a*zr)?Z0%ft,áM%f'('$Ûc#&+$a0-0Ü2\"'f%(`0\ueV#¸tj-0Ý0tj!$t w \2]t%f` w Z0\Â-0`0ð`0+oáM`0t¨+V{ w Z0\ÂÛ0#j+.Ý0'f\^]z^)?Z0\5t&+.'(- w %(+.`y+V{ w Z0\^t&\5t&-0Ý0t¦!$t w \^]_t,áM%f'('VÛ0#j+Ö$%(a0\ w Z0\ÂÜ2+$\^þÜ^%f\2` w t w ZCe w Û´\^#&]% w t w +ÜuerRZ ^ `0Ü2\^ZR ^' w Z0ZR ^\hÀ î-CeVac#Re w %fÜ w \^#&]t2z´)?RZ ^Z0\RZ %f^ a0\^` RZ ^ w À %(×CÜ2e w %(+.` {}+.#7\2î-Ce w %f+.`úÙ muü eÚ7eV'('f+oáMt +.`0\ w +\vÆÛ0#j\2tjÞt ¾ å h ç h ertM{}-c`0Ü w %f+.`0tM+V3{ ¾ à h á h D è. ä.
(61) F Ñ I´JMLÈLNL òO. ×. Z R ZóZ U× W ôZ Zá Z R U ZôW Z R ä × F Ñ I´JMLÈLNL JMh× FZ ^Õ ^× Ñ LNLÈ^L õ ä O R RZ Z U3W Z ^ U3^ W Z R R ä Z ^ × äT Z Z ^ R R à Z ^ ä × U3^ W äá Z ^ R R à U Wá æà. R ZóZ. ZóR Z RZôZ èå ZóZ R ç RZ ^ å Z^ R ç Z^ R ^R Z. I I I I I I. Ù mVm eÚ Ù mVm ÝlÚ Ù m.m ÜoÚ Ù mVm alÚ Ù m.m \oÚ Ù m.m {RÚ Ù m.m Ø$Ú. I è. C+.#?\^î$-0e w %(+.`TÙ moü ÝCÚ >0w Zc\d%(a0\2` w %(×CÜ2e w %(+.` +V{¨'f%(ðV\yÛÎ+á"\2# w \^#&]è t?'f\2eVa0t w +D . F Ñ I´JMLNLNL µO. F Ñ I´JMLNLNL . ×. æå. RZóZ. ×. × Ñ JMhÌ × FZ ^ Õ ^ R U3W Z ^ R è Z^ × R å Z^ è × R å. Z U W Zôç Z 3 R. ZóR Z. ×. U3R W ZóZ Z I R U3ZóW Z I 3 U× R W à ä R I U3R W á è LNLÈ^L ò è O × RZ Z U3^ W Z I × U3R W à R è T Z Z ^ I × U3R W á R U ^ W çè Z ^ I × U R W R U3W ç I U3R W ä. R ZôZ T a R ZóZ RZ ^ RZ ^ RZ ^ R^ Z. Ù moô eÚ Ù moô ÝlÚ Ù mô ÜoÚ. ZóR Z. ×. Z^ aR. )?Z0\ w á"+_t¦!Æt w \^]_tIÙ m.m ÚeV`0aÙ mô Ú"eV#&\t&+V'(Ö.\^a w +Ø.%(ÖV\er'f' w Z0\ä t&\2eV#&ÜOZ0\^a¢Ü2+$\^þÜ^%f\2` w tSD. áMZc\2#&\. F Ñ IKJvLÈLNL h¢FÕs Ñ Z LNLNL òO ^ × U W TVU Z W^ U RZ ^ à I ö R ZR ^ Z ^ a RZ ^ á I ö R RZ ^ I¹f RZ ^ åä Z ^ I¹f R ç I~f ZóR Z ZóR Z × Z a I ÷ U W U RW è F Ñ IKJvLÈLNL h¢FÕ øÑ ^ LÈLNL × õO Z × ZR ^ U W U Z ^W U I Z × ö ^R× è ^Z U W U W U R Z^ I ö R ^× ^ Z^ Z Z Z è × ^ ö R I ÖU TU U]R ÖU TU TVUR U TU TVUR. Ù moô alÚ Ù mô \oÚ Ù mô {RÚ Ù mô Ø$Ú. Z^ a R. Ù muö eÚ Ù muö ÝlÚ Ù moö ÜoÚ Ù muö alÚ Ù moö \oÚ Ù moö {RÚ. R W a ZR ^. Ù moö Ø$Ú. RW. R W a ZR ^ U. Z × U. ^×. Ù muö ZlÚ z. U]R .
(62) Z^. Lê `0\7ÜueV` `c+ w %(Ü2\ w ZCe wHö R Ü^+.` w eV%(`0ter'f'lÛ´+Vt&t&%(Ý0'f\:t&\^Ü2+.`caÆ9G+.#ja0\2#[#&\2tj+.`CeV`cÜ2\L#j\2'se w %f+V`0t > áMZ0%(ÜOZ %f`0a0%(Üue w \2t w ZCe w¨w Z0\[Ü2eV'fÜ^-0'se w %f+.`Ý0#j\ueVðt¨a0+oáM`%f`ÜueVtj\[+V{C%(` w \2#j`CeV'#&\^t&+.`0eV`0Ü2\rzV)?Z0%(t¼%(t¨Ü^+.]_Ûc'f\ w \2'¶! -0t&-Cer'¸eV`0abÜ2+.`0tj%ft w \2` w áM% w Z Û0#&\ÖÆ%(+.-0t:eVÛ0Ûc#&+eVÜOZc\2t çõûc>moûc>±mok$>±møé z 8 w¼w Z0%(t¼t w eVØ.\ > á"\?ZCeuÖ.\?\vÆZ0%(Ý0% w \2aheL`c+.`Æ9G'(%f`0\2eV#¸ÜOZCeV`0ØV\?+V{CÖreV#&%feVÝ0'f\^t,áMZc%fÜOZeV'f'(+oáMt w +LÜueV`cÜ2\2' eV'f' w Z0\î-CeVa0#&e w %(Ü w \^#&]t:%(` Ù m Ú > áMZ0\^` `0+%f` w \2#&`0eV'*#&\^t&+.`0eV`0Ü2\eV#j\dÛc#&\2tj\2` w zl)?Z0\]\ w Z0+Æac+.'f+.Ør! t&ðV\ w ÜOZ0\^aß%f` w Z0%ftt&\^Ü w %f+.`ù%(t_ØV\2`0\^#ReV'
(63) eV`0aÇáM%('f'?ÝÎ\¢eVÛcÛ0'f%(\2añ%f` w Z0\ `c\v w t&\^Ü w %f+.`ú%f`Ç+V#&a0\^# w + \2'f%(]_%(`Ce w \ w Z0\yÜ2-0Ýc%fÜ w \^#&]t2z 6 %f`0Ü^\ w Z0\yÜ2eV'fÜ^-0'se w %f+V`0teV#j\ w \^a0%f+.-ct > +.`c'(! w Z0\y%(]_ÛÎ+.# w eV` w t w \2Ûct:+r{ w Z0\Û0#j+ÆÜ^\2a0-0#j\yáM%f'f'´Ý´\\vcÛc'seV%(`0\2a*zc)?Z0\+.`0'(!Åa0%(ã´\2#j\2`0Ü^\yáM% w Z w Z0\ÜueVtj\ w #&\ue w \2ab%f` w Z0%ft?tj\2Ü w %f+V` 'f%f\^t%f` w Z0\y{XeVÜ w?w ZCe wdD»QB oBXUVå #&\^t&+.`Cer` wMw \2#&]tM\vÆ%ft w t:e w Ü^-0Ý0%fÜ+.#ja0\2#:eV`ca áM%('f'´`0+ w Ý´\#j\2]+ÖV\2a*z ù ü%$'&. Ó bÕ^Ô Ï§ÐA. ú û. Ý. ý0';'6y;>*?.A:<;>=1*E=1zþ:<¦?)gÿ5?.1{,-i.:<;>¹:<)- 6y2. )?Zc\Å×C#&t w t w \2ÛòÜ^+.`0tj%ft w t%f`T\2'(%f]%f`Ce w %f`0Ø w Z0\Åî-Cera0#Re w %fÜ w \2#j]_td{}#&+.] 3 îlz?Ù m Úz¸ÞT\Å-0tj\ w Z0\ #&\2tj-0' w tM+V{ w Z0\Û0#&\Ö$%f+.-0tMtj\2Ü w %f+.` >0w ZCe w %(tá[\a0+ w Zc\d#j\2Û0'feVÜ2\^]_\^` w D QSR I ß RT Y Z X []\ â ¯ R I RªT Y Z X []\ ¶ I. Z^ Z ^ Z^ â Z â ^ Y ^`X _ Z ¥à R ß ß TÌá R h ZR ^ Z â ^ ß h. Y^ X []\bè. Ù mu÷ eÚ Ù mu÷ ÝlÚ. %f` 3 îlz±Ù m Ú > ÝÎ\^{}+.#j\2ZCeV`caÅáM#&% w&w \^`eVt z$87t5á[\eV#j\
(64) `c+á %(` w \2#j\2t w \2a%(`ÅÜ2-cÝ0%fÜ w \2#j]_t > er'f' a0\^ÖV\2'f+VÛ0]_\^` w tyeV#j\ w #&-0`0Ü2e w \^a¥e w +.#&a0\^# ö z´8:{ w \2#
(65) t&+.]\er'fØ.\^Ý0#ReV%(Ü w #Rer`0tj{}+.#j]Åe w %f+V` >cw Zc\Itj!$t w \2] %ftáM#&% w&w \2`ÄD â Ù mø eÚ ß ¶R I R h × × Z ^ c × Z ^ c â ZR ^ c Z â ^ â c ì RZ ^ c RZ ^ c ^ Y Z Y ` ^ _ Y Y Z Y Y Z e c c ë ¶R I d _ ^ d _ ^ ß ß ß ß ß ß T ß h Ù moø ÝlÚ U3R W ß R X X X X X X []\. []\ []\. áMZ0%fÜOZb%ft?Ü^+.#&#j\2Ü w -0Û w +RZ +.^ c #ja0\2# ZR ^ cö %f`cÜ2'f-ca0\2a*z )?Zc\TÜ^+Æ\þ_Ü^%f\^` w t h eV#j\ ac-0\ w + w Z0\ %f` w #j+Æac-0Ü w %f+.` +V{ w Z0\`0+V`Æ9G'(%f`0\2eV# ÜOZCeV`cØ.\T+r{ ÖVer#&%serÝ0'f\^tIÙ mu÷ Ú[áMZ0%(ÜOZ¢\2'(%f]%f`Ce w \2t w Z0\Iî-Cera0#Re w %fÜ w \^#&]t
(66) Ýc- w %(` w #&+$a0-0Ü^\2t:Ü2-0Ý0%(Ü9à+.#&a0\^# w \2#j]_t > +r{ áMZ0%fÜOZbt&+.]\eV#j\ÖV\2'(+ÆÜ^% w !9Ga0\^Û´\^`0a0\^` w zl)?Z0\2%(#?\vÆÛ0#&\^t&tj%f+.`0t
(67) eV#j\±D RZ ^ c. ü%$t#.
(68). ï-/=%])+2<24;>*. ZR ^ c. ZR ^ c RZ ^ c I Y X_ Z a à T Y Z a à h. Ù mop eÚ. I. Ù mop ÝlÚ. . Z ^ c Z ^ c Y X_ Z a R á T Y Z a R á L . =1zþ:<¦?)¹5,Í?;>¹:<)- 6y2. G` w Z0%(tt&-0Ý0tj\2Ü w %f+V` >w Z0\ Ü2-cÝ0%fÜb`0+.`Æ9à#&\^t&+.`Cer` ww \2#&]t+V{L\^î-Ce w %(+.`³Ù mø ÚáM%('f'ÝÎ\bÜueV`0Ü^\2'('f\2a w Z0#j+.-0Ø.Z w Z0\t&eV]_\Û0#j+ÆÜ^\2tjtIeVt w Z0e w -0t&\^aï%f`tj\2Ü w %f+.` ÷ z±)?Z0\+.`0'¶!¥a0%¶ã\^#&\2`cÜ2\%ft w Zc\Ûc#&\2tj\2`0Ü^\.
(69) +r{ w #&%¶Ö$%seV'('(! #j\2tj+.`CeV` wLw \2#&]t w CZ e w ÜueV`0`c+ w ÝÎ\I\^'f%f]%f`0e w \^a*zC)?Z0\I{}+.'('f+oáM%f`cØÜ^-0Ý0%(ÜÛ´+V'(!$`0+.]t7er#&\ %(` w #&+$a0-0Ü^\2aÔD Z ^ RZ ^ c ` ^ _ Y Z Y Z Y c d _ ^ ß R I °RT X X X ° ° ° []\ T Y Z X Y^ X []\ []\ â ZR ^ c Z ^ R I ² RªT Y Z X Y ^`X _ Z Y c X _d^ ¿ ° ° °. . []\. c. Z ^ c RZ ^ c T Å ² ² ² . Z^ c Z ^ c Y c X _d^ | R ² ° ° T c. . T. Ù mn eÚ. ZR ^ c Z ^ c ° ² ² h. Ù mon ÝlÚ. Z ^ c RZ ^ c ² ² ² . ZR ^ c Z ^ c ^ Y Z Y Y c d _ ^ ² ° ° T T X X X []\ ][ \. . Z ^ c RZ ^ c ° ² ² h. . áM#j% w&w \2`%f`htj-0ÜOZ eL{}+.#j] w + w eVðV\ w Zc\?Ü2+.]]- w %f`0ØeV`ca`c+.`Æ9GÜ^+.]]- w %(`0Ø w \2#&]t%f` w +erÜ2Ü2+V-0` w z )?Zc\¢-0`0ð`0+oáM`0t RZ +r^ c { w Z0R\Z ^ c Û0#&+VRZÝ0^ 'fc \^] RZ er^ #&c \b`0+oRZ ^ á c w Z0\ T J À T J Ü^+Æ\þ_Ü^%f\^` w t w ZCe w er#&\ R Z ^ c ê W Z R ^ c ZR ^ c %(` w #&+$a0-0Ü^\2¹ a DH¾ hÅ h | h h ¿ h h h z8 ww Zc\\^`0aÇ+V{ w Z0%(t_t w \^Û >w Z0\ ac%ft&Ûc'seVÜ^\2]\2` w 9âÖ.\2'(+ÆÜ^% w !_ÛCeV%(#&táM%f'('*ÝÎ\ w Z0\ æ°ªR h ² R "ÖreV#&%feVÝ0'f\^t2z 3 î-Ce w %f+.`0tZ Ù m^ n Ú,c eV#j\[a0Z %¶ã^ \^#&c\^` w %se w \2adáM% w Z#&\^t&ÛÎ\2Ü w¨w + w %f]\5eV`0aI%(` w #&+$a0-0Ü^\2a%(`Ù mø Úz q #&+$a0-0Ü w t +r{ w Z0\y{}+.#&] ° ¶ ² ° h ° ° ¶ ² LÈLNL eV#&\y\^'f%(]_%(`Ce w \^a ÝZ ! `0Z + w %fÜ2%(`0Ø w Z0e wu> e w 'f+oá[\^#M+.#&a0\^#®D Ù muû eÚ °¶ R I ²× RHTé@¥° ê h ² ê Z h Z ² ¶R I Ù muû ÝlÚ U3R W °RHTé@¥°7ê h ² ê L )?Z0\
(70) Û0#&\^Ü2%(t&%f+V`%(tÂ`0+oáße w Ü2-0Ýc%fÜ:+.#&a0\^# > ÝÎ\2Ü2eV-0t&\ w Z0\:î-CeVa0#&e w %(Ü w \2#j]_tÂZCeuÖV\7ÝÎ\2\2`_Û0#&+$Ü2\^t&tj\2a*z )?Zc%ftMeV'('f+oáMt w +#j\2Û0'feVÜ2\ w Z0\ w \2#&]t?%f`ÖV+.'(Ö$%f`cØheha0\2#j%(Öre w %¶Ö.\7áM% w Z#j\2t&ÛÎ\2Ü wMw + w %(]_\ > eV`ca'f\uera0t w + w Z0\%fa0\^` w %(×CÜ2e w %(+.` +V{ÛÎ+oá[\^#¦9G'(%fðr\_Ü^-0Ý0%fÜ+.#ja0\2# w \^#&]t2z¸)?Z0%(tt w \2Û%ftd`0+ w #&\^Û0#&+$a0-0Ü^\2aï%(`Ta0\ w eV%(' Zc\2#&\{}+.#et&eVðV\b+V{:Ü2+V`0Ü2%(t&\2`c\2t&t^zÂ),á"+ w #&%(ÜOð$teV#j\-0t&\^aú%(`ò+.#&ac\2# w +tj%f]Û0'f%¶{E!e¢'(% wjw 'f\_Ý0% wIw Z0\ Ü2eV'fÜ^-0'se w %f+V`0t2lz ¨%f#&t w±w Z0\ w \^#&]t¸ZCeuÖ.\ w +
(71) ÝÎ\5+.#&a0\^#&\^a > eV`0aI+V`0\ÂZCeVt w +:]ÅeVðr\[eMa0%(t w %(`0Ü w %f+.`ÝÎ\ w á"\2\^` Ü^+.]]- w %(`0Ø er`0a¢`0+.`$9GÜ2+V]_]- w %f`cØ w \^#&]t2zÎ8 {}+.#j]-0'seØ.%(ÖV\2`¢%(` w Zc\heVÛ0ÛÎ\2`0ac%¶v 8 Z0\^'fÛ0tL%(` w Zc%ft w \2a0%(+.-0t±t w \2Ûz 6 \2Ü^+.`0a0'¶! >2w Z0\Ü2+.]Û0'(\ w \¼t&-0Ý0t w % w - w %f+.`yÜ2eV`Ý´\ÛÎ\2#¦{}+.#&]\2ay+.`c'(!7{}+V#*\2î-Ce w %f+.`Ù mø eÚz C+.# Ù mø ÝlÚ > +.`0\ Z0eVt:íj-0t ww +¢`c+ w %(Ü2\ w ZCe Z ^ wIc w Z0\ '(\^{ 9àZCeV`0at&%fÀ ac\Å+V{ w ZcRZ ^ \ c \2î-CRZ ^ e c w %f+.`ZR ^ c %ftI\ZR vc^ c eVÀ Ü w '(! w Z0\ R RZ ^ c w RZ ^ c RZ ^ c t&eV]\ > Ûc#&+oÖ$%fa0\^a w Z0\ytj-0Ý0t w % w - w %(+.` +V1{ ¾ hªÅ h | h {}+.?# ¾d¿ h h h zÆ)?Zc\2` > )?Zc\ RZ ^ c ×C#&t wÅRZ ^ w c \2#&] ZR ^ +Vc { w Z0ZR ^\¢c À #j%fØ.Z w 9GZCeV`caútj%fa0\%ftÜuRZ ^ eVc '(Ü2-0'feRZ ^ w c \^aÇRÝZ ^ !Çc ac+.RZ%f^ `0c Ø À w Zc\ %f`ÖV\2#&tj\¢t&-cÝ0t w % w - w %f+V ` D Ù ¾d¿ h h h %(t_#j\2Û0'feVÜ2\^aÇÝZ ! â ^ ¾ hÅ Z h ^ | h ÚzÂ)?Z0\ w á"+'feVt ww \^#&]tÅer#&\ Ü^+.]Û0- w \^aTÝ!¥tj%f]Û0'(!btj-0Ý0t w % w - w %(`0Ø ß h
(72) {}+.# æ° h ² hÙX+ w Z0\2# w \2#j]_t'f\2eVa0t w +Z0%fØ.Zc\2#¦9à+.#&ac\2# ÛÎ+.'¶!Æ`c+.]_%feV'ftRÚz )?Z0\ÅÛ´+oá"\2#¦9à'f%(ðV\Ü2+$\^þÜ2%(\2` w ther#&\ w Z0\2`\2î-Ce w \2a*z¨)?Z0%ftd'f\2eVa0t w + w á"+¢t&\ w t+r{ ôr÷ \^î-Ce w %(+.`0t ØV%(Ö.\^`¢%f`¢eVÛ0ÛÎ\2`0a0%v ä eV`0a¥erÛ0Û´\^`0a0%v > #&\^t&ÛÎ\2Ü w %(ÖV\2'(!b{}#&+V] \^îlzÙ RZ ^moc ø eÚMRZeV^ `0c añÙ RZ mo^ øc ÝlÚz´RZ [+^ c .À ]IÝ0%f`0%(`0Ø w +.Ø.\ w Z0\^# w Z0\2tj\ \2î-Ce w %f+V`0t_Ûc#&+$a0-0Ü2\^tÅÜ^'f+.tj\2aÇtj-0Ý0t¦!Æt w \^]_tÅ{}+V# ¾ hÆÅ h | h z)?Z0+.t&\ t¦!$t w \^]_t7ZCeuÖ.\\^% w Zc\2#Let&+.'(- w %(+.`òÙEáMZ0%fÜOZ %ft w Z0\ÜueVtj\I{}+.#:`0+.`Æ9à#&\2tj+.`CeV` w
(73) w \2#j]_tRÚ > +.#7`c+ w ÙEáMZ0%fÜOZ %(t w Zc\LÜueVtj\L{}+.# w Z0\ w #j%(Ö$%ser'f'(!#&\2tj+.`CeV` w?w \2#&]tOÚzÆÞßZ0\^`bet&+.'(- w %(+.`Å\vc%(t w2>Æw Zc\2` w Z0\y]+.`0+V]_t5ÜueV` ÝÎ\ÜueV`0Ü^\2'('f\2az*ÞßZ0\2`T`0+ wu> eV'(' w Zc\_%(`ÖV+.'(ÖV\2aTÜ2+$\^þÜ2%(\2` w teV#&\tj\ wIw +/^\2#j+ > eV`0a w Z0\_eVt&tj+ÆÜ^%se w \2a ]+.`0+V] t w eu!%f` w Zc\daÆ!Æ`0eV]_%(ÜueV'\2î-Ce w %f+.`*z )?Z0%(tMÜueV'(Ü2-0'fe w %(+.` 'f\2eVa0t w + w Z0\y{}+.'f'(+áM%(`0ØI#j\2tj-0' w tSD RZ ^ c RZ ^ c Ù muk eÚ F Ñ I JMLNLÈL hAF}Õþ Ñ LNLÈL hAFÓ³ÕMLNLNL òO Å Z ^ c I ¿ Z ^ c I¹f R R Ù muk ÝlÚ F Ñ IKJMLÈLNL hAF}Õ IÇJMLNLÈL hFÓÌÕMLNLNL òOS| I I~f.
(74) 87`0a w Z -0t w Zc\d`c+.`Æ9G'(%f`0\2eV#ÜOZCer`0Ø.\+V{,ÖVer#&%serÝ0'f\^t?#&\2ac-0Ü2\^t w +D ^ c ° T YZ X []\ ^ c ² T YZ X. Z RZ ^ c ` ^ _ Y Z Y Z Y c d _ ^ ß R I °RT X X X ° ° []\ Z â RZ ^ c ² ² R I ² RHT Y Z X Y ^X _ Z Y c X _d^ []\. . . Y^ X []\ Y^ X. Z^ c Z ^ c Y c X _d^ R ° ² ² h. Ù ôVü eÚ. Z^ c Z ^ c Y c X _d^ R ² ° ° L. Ù ôVü ÝlÚ. . . []\ []\. G` w Z0\2tj\t&-c]_t > t&+V]_\ w \2#j]_t¼eV#&\[\2î-CeV' w +L/^\2#&+ > áMZ0%(ÜOZÜ2+.#j#&\^t&ÛÎ+.`0a0t w + w Z0\ w #j%(Ö$%seV'#j\2t&+V`CeV`0Ü^\ #&\2'fe w %(+.`0t^zc)?Z0\^t&\eV#&\D F4GI JMLÈLNL òO F%Õ F. RR>R>R I R>RR R>^t^R I G+LÈLNL õO R ^t^ I RZóRR Z I Ñ G O ZóZ R I RR I. R RR>^æR'^ R I R^ R>R R'^ R Igf R R ^t^ I ^R R ^ I¹f RZóRZ I R ZóZR I¹f ZóR Z R I RR ZóZ I¹f R I R I¹f. Ù ôÆm Ú. )?Zc\`0+V`Æ9G/^\2#&+Ü2+$\^þÜ^%f\2` w t7eV#j\#&\2ÛÎ+.# w \2a%f` 87ÛcÛ´\^`0a0%¶vIzl)?Z0\ac\2`0+.]%f`0e w +.#jt?+V{ w Z0\dÜ2+$\^{s9 ×CÜ2%(\2` w tMØ.%¶Ö.\2`b%f` 8
(75) Û0Û´\^`0a0%v ÖreV`c%ft&ZáMZ0\^` w Z0%f#jaÆ9G+.#ja0\2#[%f` w \^#&`CeV'#&\2tj+.`CeV`cÜ2\2t7eV#&\yÛc#&\2tj\2` w z ÞT\?eV#j\`0+oáñ%f`Û´+.tj% w %f+.` w +La0\×C`0\ w Z0\`0+.#j]Åer'$aÆ!Æ`0eV]_%(Ü2t >rw Z0eV`0ðt w + w Z0\`c+.`Æ9G'(%f`0\2eV#,ÜOZCeV`0Ø.\ +V{ÖreV#&%feVÝ0'(\2tdÙ ôrü Úzl)?Z0%(t:áM%('f'±ÝÎ\a0+V`0\I%(` w Z0\I`0\v w t&\^Ü w %f+.` > eV`ca áM%f'('±\2`CeVÝc'f\d-0t w +ÅÛ0#j\2Ü^%ft&\ w Z0\ a0\^×C`c% w %(+.`+V{¼e 4
(76) 4 = áM% w Z w Z0\y{}+.#&]_eV'(%ft&]Ê+V{¨`0+.#j]Åer'´{}+.#j] w Z0\^+.#j!Vz. . . MÔ ÕÏ,ÓãϸÕÑÍ ÑSÇÏ Ð}ݸÓÏÝ. H $'&. g=- 6y.10{. Î%*?.36y;>2. )?Zc\h+.Ý$íj\2Ü w %¶Ö.\h+V{ w Z0\hÛ0#&\Ö$%f+.-0t7]Åe w Z0\2]_e w %fÜuer'±a0\^ÖV\2'f+VÛ0]_\^` w tLá[eVt w +a0\×C`0\eÅ`c+.`Æ9G'(%f`0\2eV# OÜ ZCeV`0Ø.\+V{ÖreV#j%seVÝ0'(\2tMáMZ0%fÜOZ \2'f%(]_%(`Ce w \2t w Zc\I`0+.`$9G#&\^t&+.`0eV` w7w \^#&]t7%(`ïÙ m ÚzÎ)?Z0%ft
(77) ZCeVt
(78) Ý´\^\2`¢]_eVa0\ áM% w Z w Z0\Z0\^'fÛ¥+V{Â`c+.#&]_eV'¸{}+.#&] w Z0\^+.#j! w +.ØV\ w Zc\2#7áM% w Z q +V%f`0Ü2eV#&1her`0a q +.%(`0Üuer#&197-0'feVÜv èt w Zc\2+r9 #&\2]t2z$87tjt&\^]Ý0'f%(`0Ø w Z0\ w á"+hÜueV'(Ü2-0'fe w %(+.`0tÂ%f` tj\2Ü w %f+V` ÷ eV`0a ø Ø.%(ÖV\2t w Z0\
(79) {}+.'('f+oáM%f`cØ#j\2'se w %f+V`0t > {}+.# eV'f' G D Z ^ Z ^ RZ ^ RZ ^ QÞR I °RT Y Z X Y ^`X _ Z æà ° ° Ì T á ² ² []\ Z ^ c RZ ^ c ` ^ _ Y Z Y Z Y c d _ ^ T X X X ° ° ° T []\ Z ZR ^ Z ^ RZ ^ c ^ Y Z Y Y Z Y ` ^ _ Y c Z d _ ^ ¯ R I ² RªT X X ² ² ° ² T X X X []\ []\`è []\ ª 4jÁk l QSR h ¯ R k B. . . YZ X. Y^ X. Z^ c Z ^ c Y c X _d^ R ° ² ² h. . []\ ][ \ ^ c ZR ^ c Z ^ c ^ Y Z Y Y c d _ ^ ² T X X X ² ° ° L []\ []\ l æ°ªR h ² R dC. . Ù ô.ô eÚ Ù ô.ô ÝlÚ. ¨eV#j\ w Zc\ P BâN&UVåCN QjHVBEAÎUVD<J á"\a0\2Ü^%fa0\ w +LÜ2eV'f' w Z0\ A Q"!UVåCN Q&HVBEAÎUVDGJk z )?Z0\2tj\yÜ2+$+.#&a0%(`Ce w \2ter'f'f+oá +V`0\ w +Ia0\^×C`c\eIð%f`0a +r{ a0\^Ü2+.-0Ûc'f%f`cØ :Ý´\ w á[\^\2` w Z0\
(80) ÖVer#&%serÝ0'f\^t[e w"w Z0\ `0+.`Æ9à'f%f`c\ueV#t w eVØV\VzC)?Z0%(t:ac\2Ü2+V-0Û0'f%(`0Øa0+$\2tM`0+ w tjZCeV#&\eV'(' w Z0\Û0#j+.ÛÎ\2# w %f\^t?+V{eh'f%(`0\uer#a0\2Ü^+.-0Û0'(%f`0Ø áM% w Z \^%fØ.\^`0t&Û0eVÜ2\^t2z 6 ÛÎ\2Ü^%(×CÜ2eV'f'¶! > t&-0ÛÎ\2#jÛ´+.tj% w %f+.`ù%(t `0+ w ÛÎ+.tjt&%fÝc'f\Vz5)?Z0%(t#&\2tj-0' w Ø.\2`0\^#ReV'(%f/^\ w Z0\ eV`0tjá"\2#"Ø.%(ÖV\2`%f` çèöôé zg
(81) +oá[\Ö.\^# >Æw Z0\2tj\
(82) `c\^á ÖreV#&%feVÝ0'(\2teV#j\
(83) '(%f`0ðr\2aáM% w Z w Z0\:%f`ÖreV#&%feV` w ]ÅeV`c%({}+.'(a0t.
(84) re `0aeV'f'(+oáªeLt&%(]_Û0'(\"ac\^×C`0% w %(+.`I+V{´e 4
(85) 4 = > eVt¼áM%f'('Ý´\tjZ0+oáM`%f` w Z0\`0\v w tj-0Ý0tj\2Ü w %f+.` > \2tjÛ´\^Ü2%ser'f'(! ÝÎ\2Ü2eV-0tj\ w Z0\%f`ÖreV#&%feV`0Ü2\7Û0#&+.ÛÎ\2# w ! %ft?`0+oá³\vÆÛ0'f%(Ü2% w \2az )?Z0\¥`c+.#&]_eV'Mac!$`CeV]%fÜ^tÅ%ft_a0\^×0`0\2a Ý!út&-0Ý0t w % w - w %f`0Ø{}+V#¥Ù ôVô Ú%(` w +ßÙ m Úz3 w a0\^t&Ü^#&%fÝÎ\2t w Z0\ aÆ!Æ`0eV]_%(Ü2th+V{ w Z0\tj!$t w \2] > -0Û w +¥+.#ja0\2# öÆ> %f`ªe¢tjÛCeVÜ2\ tjÛCeV`0`0\^aúÝ! w Z0\%f`ÖreV#j%seV` w ]_eV`0%¶{}+.'fact Ù}#&\^ÜueV'('×CØ.-0#j\ m Ú/z w #j\ueVa0rt D F´G£I³JML L L EO °ª¶ R I ² × R h × ² ¶R I U3R W °R R'R R>R × R^ ^ °R Y ^ X ë R R × ^R ^ ^ Y ² R î X R ° R. . $# &% "% . Ù ôrö eÚ. × R T e RR>R>R °7R ê R>R>R °R ² R W ì R ^t^ e R t^ ^ ^ R t^ ^ ^ T R T R ° W T R ² W T YZ. . . ^ ^ ² T YZ. *' R. ZóR Z. (' ë . . Z Zð R° ² L. R. R ZóZ. R T. . R ZóZ R. Z R ZóZ T e R ° W T. . &). ì R ZóZ Z R ² W. Ù ôrö ÝlÚ. Lê `0\Ü2eV``0+ w %fÜ^\"%(`Ù ôVö ÝlÚ,eV'f' w Zc\ w #j%(Ö$%ser'f'(!7#&\^t&+.`Cer` w¼w \2#j]_t w Z0e w Ü2eV`0`0+ w Ý´\"ÜueV`cÜ2\2'('f\^a*zr)?Zc\2t&\ w \2#j]_t
(86) Ü2+.#j#&\2tjÛ´+V`0a w + w Z0\IÜ^+Æ\þÜ2%f\^` w tLtj\ wLw +Å/2\^#&+%(`òÙ ô$m Úz=+.#j\2+oÖ.\^# >´w Z0%ft
(87) `0+.#j]ÅeV'¸ac!$`Cer]_%(Ü2t tjZ0+oáMt w ZCe w Ö.\^'f+$Ü2% w !9àa0\2ÛÎ\2`ca0\2` w[w \2#j]_tZCeuÖV\ w +ÝÎ\
(88) Ü^+.`0tj%fa0\^#&\2a > edÛÎ+.%f` ww ZCe w ZCeVt5eV'(#&\uerac!hÝÎ\2\2` `c+ w %(Ü2\2aÝ! 6 z 6 ZCeuáeV`0aT7z q %f\^#&#j\Vz w %(tya0\2]+.`0t w #Re w \2aZ0\^#&\ w Z0e wyw Z0\^t&\ w \^#&]teV#&\hÜ^+.]_%(`0Ø {}#j+.] w Z0RZ \_^ Ûc#&+$Ü2\2tjt&%(`0Ø +V{ w Z0\î-CeVa0#&e w %(Ü w \2#j]_t^z¸g
(89) \2`cÜ2\ > %f`TeÛc-0#&\^'(!¥Ü^-0Ý0%fÜ`0+.`$9G'f%(`0\uer#ytj!$t w \2] ÙEáM% w Z å I¹f Ú > `c+ÖV\2'f+$Ü2% w !9Ga0\^Û´\^`0a0\2` wMw \^#&]t:eVÛ0ÛÎ\ueV#?%(` w Z0\`0+.#j]ÅeV'ac!$`CeV]%fÜ2t^z. }$t#. ,+. -/.. ¡£) ?*?; :<;'=1*=1z@.. Þß% w Z w Z0\ A "Q !UVåcN l QjHVBEAÎUVD<J k> e?`0+.`Æ9à'f%f`c\ueV#*`c+.#&]_eV'V]+$a0\%ft±tj%f]Û0'(!
(90) a0\^×0`0\2aÝ! w Z0\ÂÜuer`0Ü2\^'¶9 'fe w %(+.`y+V{0eV'f'.+ w Z0\^#¸ÖreV#j%seVÝc'f\2t > \vÆÜ^\2Û w¨w Z0\5a0%ftjÛ0'serÜ2\2]\2` w 9àÖ.\^'f+$Ü2% w !7ÛCer%f#¸Ü2+.`ct&%fac\2#&\^a*z¢C+.#±\vceV]Û0'f\ > +V`0\ZCeVt¼íj-0t wMw +tj\ w D c c Ù ôr÷ Ú FÓ1I³ 0 G O ° I ² Igfih {}+.#Â%(`ÖV\2t w %fØ.e w %(`0Ø w Z0\ 474 = 'feVÝÎ\2'f'(\2a G z)?Zc\2` w Z0\M`0+.#j]ÅeV'cac!$`CeV]%fÜ2t+V` w Z0\ G ØÚÙ `0+.`$9G'f%(`0\uer# ]_eV`0%¶{}+.'faÅ%ft?Ø.+oÖ.\^#&`0\^a ݽ! D Ù ôVø eÚ °¶ R I ²× R h × × R R R ² ¶R I Ù ôVø ÝlÚ U R W °R R>R>R T e R>R>R ° R ê R>R>R °R ² R W L )?Z0\\2î-Ce w %f+.`b+V{ w Z0\d]Åer`0%({}+.'(a > \vÆÛ0'f%(Ü2% w %f`0Øh% w tMØ.\^+.]_\ w #¦! %f` w Z0\dÛ0ZCert&\ItjÛCeVÜ^\ > %ftMØ.%(ÖV\2`b%f` Ù ô.ô ÚzCì:\^Û0'serÜ2%f`cØbÙ ôr÷ Ú[%(`TÙ ô.ô Ú[ØV%(Ö.\^trD. 20. c c c FrÓ H IcG O c Q c I à R>c R 7 ° RW Ì T á R>R ² c R W T >R R'R °7c R ê T R>>R R °ªR ² R W ¯ I R>R °R ² R T R>>R R ² R ê T R'>R R ² R °7R W è. 3. 3. Ù ôrp eÚ Ù ôrp ÝlÚ 4 )?Zc%ftIÜ2eV`ïÝÎ\_áM#j% w&w \2` áM% w Z w Z0\_Û0Z!Ætj%fÜ2eV'"Ü^+Æ+V#&a0%(`Ce w \^t > +.`0'¶!.z¸)?Z0%ftdáM%f'('ÂeV'f'(+á -0t w + Ü2+V]_ÛCer#&\ ]+.#j\ÅÛ0#j\2Ü2%(t&\^'(! w Z0\]\ w Z0+ÆaÛ0#&+.ÛÎ+.tj\2aªZ0\2#j\ÅáM% w Z çõûÆ>kÆ>"moüré»> áMZ0\^#&\ w Z0\ %fac\ue¢%ft w +¥a0\×C`0\ e !U¢kDGJQ a0%ftjÛ0'serÜ2\2]\2` w 9àÖ.\^'f+$Ü2% w ! ÛCeV%f# > eV`0a w + \vÆÛ0#j\2t&ter'f' w Z0\I+ w Z0\^#7ÛCer%f#&t7eVt
(91) {}-c`0Ü w %f+.`0t
(92) +V{ w Zc%ft +V`0\Vz)?Zc\ tReV]\ +.ÛÎ\2#&e w %(+.`ï%(tI'f\^aòZ0\2#j\ áM% w Zï\2î-Ce w %f+.` Ù ôr÷ Úz 6 %(`0Ü2\ > {}#&+V] \^î-Ce w %(+.` Ù ôVô Ú > á[\ Z0eoÖVþ\ D QSR I °RTÌésæ°7R W h ² R W h. ¯ R I ² RTÌésæ°7R W h ² R W h.
(93) w Z0\^` > 0- Û w ++.#&ac\2# ö Ù w Zc\dÛc#&\2Ü^%ftj%f+.` w \^#&]. 10. FSÓ ª IcG O c Q c I à >R c R ¯ I >R R è. 5 [%(t?+.]% w&w \2alÚ. D és Q R h ¯ R c c c QïR W TÌá R>R ¯ c R W T R>R>R ½ Q c R ê T R>R>R QSR ¯ R W h QSR ¯ RT R>R>R ¯ R ê T R>R>R ¯ ãR Q½R W L. 3. . Ù ô.n eÚ Ù ô.n ÝlÚ [+$\^þÜ^%f\2` w teVÛ0ÛÎ\uer#&%f`cØb%(`T\^î-Ce w %(+.`0tÅÙ ô.n Ú > áMZ0%(ÜOZa0\×C`0\ w Z0\Ø.\2+.]\ w #j!+V{ w Z0\%f`ÖreV#j%seV` w ]ÅeV`c%({}+.'(a > Z0eoÖV\ÝÎ\2\^`úÜ^+.]ÛCeV#&\^aòáM% w ZªÛ0#j\^Ö$%f+V-0tÜueV'(Ü2-0'fe w %(+.`0t+V{ w Zc\bt&eV]\bØV\2+.]\ w #j!ï'(\2aª%f` çõkc>¸moûÆ>,mukc>¸møé z] w ZCeVt
(94) Ý´\^\2` ÖV\2#&%¶×C\2a w ZCe w eV'f' w Z0\IÜ^+Æ\þÜ2%f\^` w t7]_e w ÜOZ > er`0a w Z$-ct w Z0\]_\ w Z0+$a0t eV#&\:Ü2+.]Û0'(\ w \^'(!h\^î-0%(ÖreV'(\2` w z$g
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