• Aucun résultat trouvé

Logique sur les graphes et protocoles de diffusion

N/A
N/A
Protected

Academic year: 2021

Partager "Logique sur les graphes et protocoles de diffusion"

Copied!
18
0
0

Texte intégral

(1)Logique sur les graphes et protocoles de diffusion Damien Regnault. To cite this version: Damien Regnault. Logique sur les graphes et protocoles de diffusion. [Stage] A03-R-320 || regnault03a, 2003, 17 p. �inria-00099499�. HAL Id: inria-00099499 https://hal.inria.fr/inria-00099499 Submitted on 26 Sep 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) 

(3)     

(4)   !#"$  % &%(')  !* +-,/.103254768259:4;,/<>=3? @ 2BA?C2B.ED2BF)GIHJ KMLML:N O PRQ S>T;U8V)W

(5) X$S>YUZQ [ \#]_^(`baB\ ]dc \e]_^f$\g hjilknm\g `lkpo!ilhjqr`fI\#st`luwvxy]zilk/]{m|`

(6) fIqrhz\ev}^zqriluEfI\#~Bilw`lunun\8[iln\du € \dg 5knqr‚/\ƒ„mraliBhzqrmrm \C†\^tfI\‡{m qrˆ‰q \dh„Š$ilknhjun\‹ € \dg 5knqr‚/\Œhzil^z\dg i5†Ž  `luw]]j`E^j’\d‘ ]z\l“”~Bilw`lunun\•[iBn\u7`–f$\dg vilknˆB\hz^—kwu˜`bmraliBhzq ^zn™—\-‚Milknhhn\dg ]zilkwfIhj\ \u–^z\™—‚w] ‚Milmrx‰unil™—q|`bm$knuš‚nhjil›wm3\d‘ ™—\fI\fnqœ:kw]zq iBu1fn`luw]mr\d] `bhj›nhj\d] € ‚nhjil›wm3\d‘ ™—\8stŒ;ž viB™—‚nm \^fn`luw]8mr\yv`B]8fI\yfnqœ:kw]zq iBu˜fn`bu/]#m \e]8aBhj`l‚nn\d] € ˆliBq hmr`E^jR\e‘ ]Ÿ\)fI\•~liBw`bunuw\ [ilw\u/†z†}Ž;oR\„›wkI^$fI\{v\t]Ÿ^j`lal\”\d]Ÿ^$fRc `l‚n‚/iBhŸ^j\h kwun\„a;\g u\dg hj`lm q|]j` ^zqrilu fI\tv\^`lm aBilhjq^jn™—\ fI\e]”`bhj›nhz\e]$ˆl\h(]mr\d]alh(`b‚wn\d]fI\¡^jhz\d\ž£¢”qrf‰^j›Milhju\Bg Ž s„iBkw]-`CˆliBuw]\e]z]j`Cx\yg fI\Ea;\g u\g h(`bmrqr]z\h#mr\E‚nhziB›nm3\‘ ™—\•fw`buw]

(7) mr\v`l]

(8) fI\e]alh(`b‚nn\e]p` ‘ ^zhj\\d¢”qrfI^z›Milhju\;g \^fI\e]!‚w`b^z‰¢”q|f‰^z‚Milkwh!‚MilknˆBilqrh!kI^jq mrqr]z\hm \^z\g ilhe\d‘ ™ \;fI\”[ilknh(v\dm mr\d] € ˆBilqrh”Œ;`bh(`b™—\^jhzqr‹\ef[il™—‚nmr\¤Iq ^_xn†}Ž [\^z\dg ilhd\‘ ™—\fIilunuw\

(9) fnq hj\dv^z\™—\duB^#knu¥`bmraliBhzq ^zw™ \mrq u\dg `bqrhj\‚Milknh#hn\dg ]zilk/fIhz\fI\d] ‚nhjil›nm¦\d‘ ™ \e]Zfn\f$\dg vq|]zq iBu1]zknh—m \e]^jhz\d\¢”q|f‰^z§mrilh(]z5kn\unilk/]Z‚Milkwˆlilu/] vd`bh(`lv^n\dg hzq|]Ÿ\dhv\ ‚nhjil›nm¦\d‘ ™ \‚w`lh”knun\¨©ilhj™knmr\f’c knun\v\dhŸ^(`bqrun\¡m iBalq|5kn\lŽ s„iBkw]¡`Cˆlilu/]tfIiBuwvv(n\dhjv(w\h `‘ viB™—‚nhz\duwfIhj\m|`8¨ª`Rv« ilu•fIilu5^v\^¡`bmraliBhzq ^zn™—\\g ^(`bq ^ a;\g u\dg hn\lg Ž Œ knq|]—uniBkw]#`CˆliBuw]\e]z]j`Cx\g fI\

(10) ˆBilqrh mr\d]—hw\eg ]Ÿknm ^j`b^j] 5kn\-fIilunu/`bq ^#v\^z\dg ilhd\‘ ™—\]Ÿknh unil^zhj\‚whziB›nm3\‘ ™—\lŽ ¬ uI­/uR“nuniBkw]”`CˆliBuw]$\d]j]z`Cx\g fI\viBuwv\dˆlilqrh$knu-`bmralilhjq ^zn™—\lŽ ® ¯–°t±³²

(11) ´S;µ—¶·YVS>µ¸°Sº¹°„±»S>T;°„°”¶·YVS>µ „s iBkw]`bmrm iBuw]!‚whn\eg ]Ÿ\du5^z\hm \e]!aBhj`l‚nn\e]]zknhm \e]z5kn\dmr]unilk/]`CˆBiluw]R^zh(`CˆC`lq mrm\lg Ž!o!\d]alh(`b‚nw\d]` ‘ ^zhj\\d¢”qrfI^z—›/iBhzu\”g ]ŸiBuB^fn\d] aBhj`l‚nn\e]5knq/‚/\dknˆl\du5^”\¼ ^jhz\„viluw]Ÿ^zhjknq ^j];fI\”¨ª`Rv« iBu hw\eg vknh(]Ÿqrˆl\B“ v\5knq’‚M\hj™—\^tf’c `b›Milh(fI\h”fI\e]‚nhjil›nm3\‘ ™—\e]$]zknh„v\d]alh(`b‚wn\d]$fI\™#`bunq¦\d‘ hz\e]fIq œt\g hj\u5^z\e]Ž ½ ilkI^ZfRc `l›/iBhjfEuniBkw]`lm mrilu/]q u5^jhziIfIknqrhj\8mr`)unib^jq iBu–fI\8m|`

(12) ^zhj\\d¢”qrf‰^jšf’c knu–aBhj`l‚nn\#\^ fI\e]\g m\g ™—\duB^(]$u$\dg v\d]j]z`lq hj\d]`#‘ v\^Ÿ^z\f$\g ­wuwq^jq iBuRŽ ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ÂÇÆ·ÈÉyÊlËzÌ(ÍnÎnÏÏ}Ð}фÒIɕÓbÔÕѦËzÏ(Ï ÐnÖ ×ÙØMÍnÏÒIєÐϐÚ(Û ÉwÐ}Ñ3Ë}ÒI×ÙËzϐÜlÏ#ØrÌÝÌbÞÚeÛ ÉÐ}ÒI×ÙßeÔ Ì É/Ñ£Ïeá à ɐÍwÌ Ë}ÑtÜBÏ—Ø Ì

(13) ÚØâתãÒwϐÜlϗÑÕÌ ×ÙØÙØ ÏZӉätåCætÛbÉpËjÌÕçÛ ÒIÑÕϗÒIɕÐÛ è è—ÏѪæ„Û ÉpÐ>éÏ Ø Ï(ÚѦת۠É/ÉMÏÓ Ì ÒIѦËzÏЍÐÛbèZè#ÏѪÐtãÒI×lÝÛ Ë}è#ÏÉ/Ñ>ÒIÉMÏÚØâתãÒwÏ¡ÏÑ;Û É-Ú(Û ètÍMØÏê ÑÕÏtØrÏ$ÊlËzÌ(ÍnÎnÏÜBÏÝÌbÞÚeÛ É)ãÒwÏ{Ø ÏÐ Ó ÐÛbèZè#ÏÑ3ÐÐéÏ Ø Ï(ÚÑ3תÛbÉwÉéÏ ÐÏÑØ ÏÉMÛ ÒIß Ï(Ì ÒÝÛ Ë}è#ÏÉwÑ$ÒIÉMÏÚØâתãÒwÏZÜBÏÑÕÌ ×ÙØÙØ ÏÓIätåCæÏÑ$Ì ×ÙÉwÐ}× ÜlÏÐ}ÒI×ÙÑ£Ïlë£ßCÛb×ÙËìםÊbÒIËjÏdå}íbî ï.

(14) v2 exemples de 2−trees : v1 v3. exemples de 3−trees : v1. v2. o c `l]z‚/\ev}^¡hn\dg vkwhj]zq¨;fI\ mr`viBuw]_^jhzk/v}^zqriluy\d]Ÿ^{›nqr\u•‚nhn\dg ]z\u5^tq|vq¦Ž¡o`#^jhz\d\¢”q|f‰^zpf’c kwu `bhj›nhj\$¨ª`bq|]z`luB^$`b‚n‚M\m`‘ mr`¡unil^zqrilu8fI\{]ŸiBkw]_žÕ`bhj›nhj\uwilkw]`bmrm iBuw]>¨ª`bqrhj\”knu#hj`l‚n‚M\m/fn\tv\^Ÿ^z\ f$\g ­wunq ^zqrilu

(15) `Cˆ `bu5^fn\fIilunuw\h”m|` f$\g ­wuwq^jq iBuRŽ  À { Æ / ×

(16) Zë Ræ í

(17) ÏÐ(єÒIÉ)ÊlËzÌjÍwÎnÏÌ Ø ÛbË(Ð #Ö

(18) Zë {Ö æ —Ö í)ÏÐ(єÒIÉEÐÛb҉Ð(ÔªÊlËzÌ(ÍnÎnϐÜlÏ. Ð}×;ÏÑ;ÐÏÒIØ Ïè—ÏÉwÑ>Ð} × {ÖBÏÐ}Ñ ×ÙÉMÚØâ҉ÐÜBÌ Éw Ð –ÏÑ Ð(× —Ö ÏÐ}Ñ ×ÙÉMÚØâ҉ÐÜBÌ ÉnÐ ÇÏÑãÒwÏ¡ÑÕÛ ÒIÑÕÏ}Ð Ø ÏÐÌ Ë Ï Ñ£ÏÐÜlÏ —ÖIËzÏØâתÏÉwÑ$ÜBÏ}ÐÐÛbèZè#ÏÑ3ÐÜlÏ {Ö î  `bqru5^z\duw`bu5^d“Iuwilkw]”‚Milkwˆlilu/]$f$\g ­wuwq h”m|` unib^jq iBufI\¡^jhz\d\¢”q|f‰^z!Ž ¾˜ÀB¿ Á>ÂéÄdÃ3Å/  Ì

(19) Ñ3ËjÏjÏ ;תܠѩÎÜ!Ö ÒIÉyÊbËzÌ(ÍnÎw!Ï Ï}Ð}фØrÏÍM؝҉ЄÍwÏѦ×ÙэÓÑÕÏØãÒw"Ï ÐÛ ×ÙÑ{ÒIÉ Ð۠҉Ð}ÔªÊlËzÌjÍwÎnÏ ÜRÖ ÒIÉ

(20) ÓbÔÕѦËzÏ(Ïdî oR\e]¡¨ª`b™—qrm mr\d]fn\#alh(`b‚nn\e]8`‘ ^zhj\\d¢”qrf‰^jE›/iBhzu\ g uw\8]ŸiBuB^‚w`B]™#`bhjalqruw`bmr\d]¡`lq uw]zqfI\ uniB™›nhj\kw]z\d]¨ª`l™ qrmrm \e]„fI\¡alh(`b‚nw\d]]ŸiBu5^` ‘ ^jhz\d\¢”q|f‰^z›Milhju$\lg “I‚/`bh\¤I\™—‚nmr\d$] # ž¦mr\d]”`lhz›whz\e]$]zilu5^„fI\¡^jhz\d\¢”q|f‰^z ï Ž ž¦mr\d]aBhj`l‚nn\e]‚wmr`luw`bqrhz\e]”fI\¡hj`CxBilu %]ŸiBu5^”fn\¡^zhj\\¢”q|f‰^j" &'%:Ž ž¦mr\d]›/`buwfI¢”q|f‰^j\^„m \e]„vkn^_¢”qrf‰^j-fI\¡^j`lq mrm \ %]ŸiBuB^„fI\e]$^zhj\\d¢”qrf‰^j-fI\¡^j`lq mrm \ %:Ž Ž ŽrŽ  `bqru5^z\duw`bu5^RuniBkw]R`bmrmriluw]’ˆBilqrhRviB™ ™—\duB^Rkwu‚nhziB›nm3\‘ ™—\>fI\f$\eg vq|]Ÿqrilu¡]zknhRv\e]:¨ª`b™—qrm mr\d] fI\aBhj`l‚nn\d]$‚M\kI^\¼ ^zhj\¡hn\dg ]zilmrk]Ÿkwhtv\e]”`bhj›nhz\e]$\u^z\d™ ‚/]”m qru\eg `bqrhz\‚w`lh”m \¡^j$\g iBhd\‘ ™—\{fI\ [ilkwhjv\mrm \e]Ž (.

(21)  µ°„ UZT°  ° V-°U W

(22) T;X”°t¹¹°„±. Ro \^j\dg ilhd\‘ ™—\fI\{[ilknh(v\dm mr\d]>‚whz\duwf \u#\u5^jhn\dg \knun\¨©ilhj™kwm \„fI\”m|`¡mrilalq|5kn\”™—iluw`BfIq|Bkw\ fIkE]Ÿ\eviBuwf-ilh(fIhj\\^fnilunun\ knuE`bmraliBhzq ^zn™—\Z‚/iBknh]z`CˆBilqrh{]zq>knu•aBhj`l‚nn\Zˆ\g hjq­w\ v\^Ÿ^z\ ‚nhjil‚nhjq\g ^n\lg Ž ¬ u¥¨ª`lq^e“Z`‘ ‚w`lhŸ^jq hfI\ym|`E¨©ilhj™kwm \B“”m \y^z\dg ilhd\‘ ™—\

(23) ˆ `–viBuwv\dˆliBq h8kwu˜`bkIž ^ziB™#` ^z\Ef’c `bhj›nhj\lŽ»o!\d]

(24) aBhj`l‚nn\d]fI\E^jhz\d\¢”q|f‰^zǛ/iBhzu\yg ‚M\knˆB\u5^)]Ÿ\viluw]Ÿ^zhjknqrhz\p‚w`bh m¦c `l‚n‚nmrqrvd` ^zqrilu]zkwvv\d]j]Ÿqrˆl\8fRc knu1v\hz^j`lq uEuniB™›nhj\8f’c il‚\g h(` ^z\dknh(]Ž-[\^Ÿ^j\viluw]Ÿ^zhjkwv}^jq iBu ‚M\kI^]z\)hj\‚nhw\eg ]Ÿ\duB^j\h—]ŸiBkw]#m|`E¨©ilhj™—\)f’c knu7`bhj›nhj\\^‚M\kI^y\¼ ^zhj\)v`lmrvknm\g \

(25) \u¥^j\™—‚w] mrq u\dg `bqrhj\`‘ ‚w`lhŸ^jq h$fIkaBhj`l‚nn\”qrunq^jqr`lm3Ž[{c \d]Ÿ^$fniluwv{]Ÿknh$v\^`lhz›nhj\„5kn\ˆC`#\¼ ^jhz\t`l‚n‚nmrqr5k\ g m¦c `lkI^ziB™—`b^z\f’c `bhj›nhj\lŽ Œ hj\™—q3\‘ hj\™—\u5^e“uniBkw] `bmrm iBuw]¨ª`lq hj\8knu1hj`l‚n‚/\dm$]zknhZm \e]Z`lkI^ziB™—`b^z\e]\^—mr\knh(]‚nhjibž ‚nhjq\g ^n\dg ]dŽpŒknqr] uniBkw] \¤I‚nmrqr5kn\dhziBuw]Zm \¨©ilu/v}^zqriluwun\™—\u5^#fI\d]—`lkI^ziB™—`b^z\e] fRc `lhz›nhj\d]Z\^ mr\knhZhj`l‚n‚/iBhŸ^`CˆB\dv—mr\d] `bkI^jil™#` ^j\d]dŽ ¬ uw]zknq ^z\8uniBkw]‚whn\eg ]Ÿ\du5^z\hjilu/]¡mr`

(26) ¨ª`Rv« iBu–fIilu5^mr\d] alh(`b‚wn\d]]zilu5^^jhj`lq^n\dg ]$‚Milknh\¼ ^zhj\{^zh(`buw]Ÿ¨©ilhj™š\dg ]\u

(27) `bhj›nhj\d]$\^„`bqruw]zq:^zqrhz\dh”‚nhjib­n^„fI\¡mr\knh viBuw]Ÿ^zhjkwv}^jq iBu hw\eg vknh(]Ÿqrˆl\BŽ ¬ uI­/uR“Buwilkw];‚whn\eg ]Ÿ\du5^z\hjilu/]mr\”^j$\g iBhd\‘ ™—\$fn\[ilknh(v\dm mr\d];`lq u/]Ÿq 5kn\¡m \e]”q|f\g \e]fI\]z` ‚nhj\kwˆl\lŽ.

(28) . ‡{ukI^zqrm q|]z\qrvqRmr`—f$\g ­wunq ^zqrilu

(29) vm|`l]j]zqr5kn\¡fI\d]t`bkI^jil™#` ^j\d]d“nvbc \d]Ÿ^`—‘ fIqrhj\ #  À   ÒIɕãÒI×ÙÉ/Ñ3ÒeÍ:Ø ÏÑzë æ t"æ !5æ wærìRíÛwêÒ à #Ô ³Ï}Ð}ÑØzÖ ÏÉwÐÏ%è $Ø Ï—ÜBÏ}Ð¥éÏ Ñ£ÌbѪР&Ô  Ï}Ð}ÑÒIÉ•Ì Ø ÍwÎn'Ì $jÏÑÕî Ô !)Ï}Ð}ÑÒIÉÝÛ É:ÚѦת۠ÉÜl)Ï (+*-,.( ÌjÍBÍnÏØ eéÏ ÏÝÛ ÉMÚѦת۠ÉpÜBÏZÑ3ËzÌbÉnÐ}×ÙѦת۠ÉMî Ô pÏÐ(Ñ$ØŸÖ ÏÉnÐÏ/è $Ø Ï—ÜlÏЧéÏ ÑÕÌ Ñ3Ð×ÙÉ/×ÙÑ3תÌb1Ò 0‰î Ô3ìÇÏ}Ð}ÑØzÖ ÏÉwÐÏ%è $Ø Ï—ÜBÏ}Ð¥éÏ Ñ£ÌbѪ3Ð 2 É:Ì 1Ò 0‰î oR\Z^z\g ilhe\d‘ ™ \fI\8[ilkwhjv\mrm \e]„kI^jq mrqr]z\ knu•f$\g hjq ˆ\g fIk)^z\dg ilhd\‘ ™—\fI\  x‰nqrm m>s

(30) \g hji‰fn\ 5knq’\d]Ÿ^„›w`B]I\¡g ]zknh”m \e]‚nhjil‚nhjq\g ^n\dg ]$fI\¡mr`—hj\m|` ^jq iBu]zknq ˆ `luB^j'\ # ¾˜ÀB¿ Á>ÂéÄdÃ3Å/  4 :Ûb×Ù5Ñ  ÒIɕÌbØ ÍnÎw1Ì $(ÏÑtÏÑ ¥ÒIÉ)Ø ÌbÉ5Ê5ÌÊ5ÏÐ(ÒIË  ÏÑ$ÌÏÑ $768:9Iî ÏÐ}ÑÒIÉ:Ï¡ËzÏØ Ì Ñ¦×ªÛ <É $×ÙÉMÌb×ÙËzÏÑ£ÏØRãÒwÏZÌ ; $¡Ð(× ÏÑ;ÐÏÒIØrÏè#ÏÉ/Ñ;Ð}>× =§?Ú 68:9Ì ØrÛ Ë(ÐÌlÚ ; 6 §Ð}×ÏÑ ÐÏÒIØ Ïè#ÏÉwÑ Ð}× $(@Ú 6  î oR\E^j$\g iBhd\‘ ™—\•]zknqrˆC`lu5^y`b‚n‚M\m\•g ^z\dg ilhd\‘ ™—\EfI\  x‰nqrm m ž£s

(31) \g hjiIfI\Ehj`lqr]ziluwun\p]zknh-mr\d] vm|`l]j]z\d]f’c_\dg 5knqrˆ `bmr\uwv\fI\v\^z^z\hj\m|` ^zqrilu # A7B À‰¿ DÅ CFFÀE G–ÀpÆ·ÈÉ7Ø ÌbÉ5Ê5ÌÊ5ÏEÏ}Ð}ÑËjÏjÚ(ÛbÉwÉMÌb×|Ð(Ð'Ì $ØrÏ)Ð}×ÏÑÐÏÒIØ Ïè#ÏÉwÑÐ}×Ø ÏyÉMÛb/è $ËzϕÜlÏ ÚØ ÌCÐ(ÐÏ}ÐÜ!ÖzdéÏ ãÒI×ÙßCÌbØ ÏÉMÚ(ÏtÍnÛbÒIËØ Ì#ËjÏØ ÌbÑ3תÛbÉ ; ÏÐ}HÑ 2Éw×ªî Š$q \du5kn\uniBkw]Ruw\‚w`lhzmr\hjiluw]:‚wm kw]f’c `bkI^jil™#` ^j\d]d“Cunilkw]!kI^zqrmrqr]z\hjiluw]fI\d]¡\dg 5knqrˆ `bmr\u5^j] fI\v\^Ÿ^j\hz\dmr`b^zqrilu\^tfI\v\{^j\dg ilhd\‘ ™—\{fw`buw]”f’c `bkn^zhj\d]™—iIf:\‘ mr\d]dŽ. &.

(32) .  . .         .    .

(33) . . s„iBkw]—`bmrm iBuw] ™#`bqruB^j\uw`lu5^—‚whn\eg ]Ÿ\du5^z\h mr\d]—`bkI^jil™#` ^j\d]#]zknh—m \e]z5kn\dmr] uniBkw]#`bmrmriluw]Z^zh(` ž ˆ `bqrm mr\heŽ ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ ÈÉyÌbÒIÑ£Ûbè—ÌbÑ£ÏZÜRÖ ÌbË $ËzÏСÐ}ÒIË ÏÐ}Ñ ÒIÉyãÒI×ÙÉ/Ñ3ÒeÍ:Ø ÏÑtëæ tæ"!5æ wærìRíÏÑÒIÉ ÏÉwѦתÏË>ÝÛ$/êÒ æ /ærì¥ÐÛ É/Ñ܍&éÏ 2 É/×|ÐÚ(Û è è#ÏÜlÌbÉnÐ¡Ø Ï}ÐÌ ÒIÑÕÛ è#Ì ÑÕÏ}ÐÚØrÌCÐ(Ð}תãÒwÏÐî yÌb×| Ð !

(34) Ï}Ð}Ñ ÒIÉMϔתÚגÒIÉ:ϒÝÛ É:ÚѦת۠É

(35) ÜlÏ € (+* (+* * ( *1 † ,.(1î ÏÑÌ ÒIÑÕÛ è#Ì ÑÕÏÍ:ËzÏÉMÜÏÉÏÉwѦËdéÏ Ï ÒIÉÌbË $ËzÏZë_ÜlÛbÉwÑ>Ø ÏtÉMÛb/è $ËzÏ¡ÜlÏ 2 ØâÐÍwÌ ËtÉMÛeÏÒwÜZÏ}Ð}5Ñ $jÛbË}ÉéÏ ÍwÌ Ë!ÝdíÌ ÒwãÒwÏØ:Û É

(36) ÌZÌ ÐjÐÛeÚ׉éÏ Ì ê Ú(ÎnÌlãÒwÏÉ:ÛdÏÒwÜZÒIÉ éÏ Ø éÏ è#ÏÉ/ѪÐÜlÏ ¡î }Ø:Ø ÏÍnÌbËzÚ(Û ÒIË}ÑÜlÏÐ;ÝÏÒI×ÙØÙØ ÏÐ–Ì ê Ø Ì ËzÌlÚ×ÙÉMÏæÌ#ê Ú(ÎnÌlãÒwÏ ÝÏÒI×ÙØÙØ Ï}æ„×ÙØnÝÌb×ÙÑ{Ú(Û Ë}ËzÏЦÍnÛbÉMÜbËzÏ#؟ÖjéÏ ÑÕ̠ф×ÙÉ/×ÙÑ3תÌbØÏѕÌ-ê Ú(ÎnÌBãÒwÏ8ÉMÛeÏÒwÜ æ”×Ù؉ÝÌb×ÙÑÚ(Û Ë}ËjÏ}ЦÍwÛ ÉMÜbËzÏ Ø Ï Ë>éÏ Ð}ÒIØâÑ£ÌbфÜlÏ—Ø ÌÝÛbÉMÚÑ3תÛbÉ ÌjÍlÍ:ØâתãҐéÏ Ì 1Ò 0 éÏ ÑÕÌ Ñ3Ð ÜlÏ:Ð 2 ØâÐ ÏÑ)Ìê Ø ÌØ ÏѦÑ3ËzÏ#Ì Ð(ÐÛeÚ×5déÏ Ï8ÌbÒ ÉMÛeÏÒwÜlî  `luw]”m¦c \¤I\™—‚nmr\¡vqžÕviBu5^zhj\l“Im¦c_\dg ˆ `bmrkw` ^jq iBufI\m¦c `lhz›whz\ˆ ` fnilunun\dh$# ! €€ ïï †$! \€ ^ ! € € ï †]Ÿ! qr€alï uwq! ­w€ \¡ï †z\d† u! ¨ª`l€ q^ †z† € ! ï € ï ! †$€ ï \†^ ! €€ ï †z†Ÿ† † ! € ! € ï ! € ï †Ÿ† ! € ! € † ! € ï †Ÿ†z†Ÿ† !v\evq!]z\h(`! \g ˆ `bmrk\{g \u # ! ! €ï € €ï €ï † † ! €ï †Ÿ† ! € ! € ï † ! € †Ÿ†Ÿ† ‚n! knq|]”! \u # ! ! €ï € €ï † † !€ †z† ‚n! knq|]”! \u # ! €ï € † † ‚n! knq|]”! \u # €ï † \! ^„\duI­wu-v\^t`bhj›nhz\¡]z\h(`\dg ˆ `bmrk$\g \u ‚w`lh”m3c `bkI^jil™#` ^j\f’c `lhz›whz\BŽ  `bqru5^z\duw`bu5^d“unilk/]`bmrm iBuw]¡unilk/]¡q u5^n\g hj\d]j]Ÿ\dh`lkI¤•`bu/`bmrilalqr\d]¡`CˆB\dvZm \—^j$\g iBhd\‘ ™—\ZfI\  x‰nqrm m žÕs

(37) \dg hziIfI\fn`luw]tv\uniBknˆl\e`bk

(38) ™—iIf:\‘ mr\lŽ„Œ>iBknhtv\m|`#unilk/]t`bmrmriluw]{vil™—™—\u/v\h{‚w`bh hj\df$\g ­wunqrhmr` hj\m|` ^zqrilu ; fw`buw]mr\v`B]$fn\d]„`lkI^ziB™—`b^z\e]”f’c `lhz›whz\e]Ž ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ :Ûb×ÙÑì ÒIÉ:ύÝÌ è ×ÙØÙØ ÏÜBÏÊbËjÌjÍnÎwÏ}Ð8܍&éÏ 2 É/×ªÏ Ð}ÒIË ¡î ’۠תÏÉwÑ{Ì-ÏÑ $#ÜlÏ1Ò 0 Ì Ë $ËzÏÐ{Ð}ÒIË Ì lÌ É/Ñ$Ú(ÎnÌBÚÒIÉ)ÒIÉ:Ï;ÝÏÒI×ÙØÙØ ÏÉ:Û ÑwdéÏ )Ï 0ÌbßCÏ(Ú 0 68¡îÙÌ ; $¡Ð}× ÏÑÐÏÒIØ Ïè—ÏÉwÑ Ð}×:ÍwÛ ÒIËÑÕÛ ÒIÑ”Ì Ë $Ëzϗڗ܍&éÏ 2 Éw× Ð(ÒIË tæØŸÖ Ì Ë $ËzÏ#ÌãÒI×$Ì ÒIËzÌb×ÙÑ$ØrÌ{ÝÏÒI×ÙØÙØ ?Ï 0ËzÏè„Í:Ø ÌlÚ eéÏ ÏtÍnÌbË ÚÌjÍBÍnÌbË}Ñ3תÏÉwÑ

(39) Ìê ì§Ð}×>ÏÑ>ÐÏÒIØrÏè#ÏÉ/Ñ>Ð}×!ØŸÖ ÌbË $ËzÏ $ãÒI×Ì ÒIËjÌ ×ÙÑ Ø ÌÝÏÒI×ÙØÙØ )Ï 0—ËzÏè„Í:Ø ÌlÚ;déÏ Ï$ÍnÌbË Ú ÌjÍlÍwÌ Ë}ѦתÏÉwÑ-ÌZê ì$î ƒ„ˆB\dvv\^Ÿ^j\hj\m|` ^jq iBumr\¡^z\g iBhd\d‘ ™—\{fI\s„x‰nqrmrmžÕs

(40) \dg hziIfI\¡\e]_^^ziBk _ilkwhj]ˆ `bm|`b›wm \BŽ  `bqru5^z\duw`bu5^d“!unilkw]`lm mrilu/]{\¤I‚nm q|5kn\hvil™—™—\u5^¡^zhjilknˆB\h¡mr`hj\‚nhn\dg ]z\u5^(` ^zqrilu•f’c kwu alh(`b‚wn\`‘ ^zhj\\¢”q|f‰^j ›Milhju\”g ]zilkw]¨©iBhz™—\„f’c `bhj›nhj\lŽŒ>ilknh v\m|`¡unilkw]`bmrm iBuw];`CˆliBq h>›M\d]zilqru fI\f$\g ­wunqrh>fn\d]il‚\g h(` ^z\dknh(]“Cv\e]iB‚\dg hj`b^z\kwhj]]ŸiBuB^;f$\g ­wunq|]>]Ÿknh;fI\e]^Ÿž£›/iBknuwfn`lhzqr\dfalh(`b‚nRŽ s„iBkw]”`bmrmriluw]fIiBuwv¡`bkn‚w`lhj`Cˆ `luB^‚nhn\dg ]z\u5^j\hv\d]aBhj`l‚nn\e]‚Milkwh”‚/iBknˆliBq hqruB^jhziIfIkwq hj\v\d] il‚\g h(` ^j\knh(]Ž ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ &ÈɕÑ3 Ô $(ÛbÒIÉMÜlÌbË}תÏ(ÜZÊlËzÌjÍwÎpÏ}Ð}Ñ$ÒIÉÊlËzÌjÍwÎnÏ#ãÒI×Ì8ÑÐÛ è è—ÏÑ3ÐZÜ ×|Ð}Ñ3×ÙɉÊbÒ¡éÏ Ð ÉwÒIè éÏ ËzÛ Ñw}éÏ ÐÜlÏ å˜Ì8ê Ñ£î . . . . . . . . !. #". %$ ". &". &". %$. ". %$. ". &". ". #". %$ ". &". #". %$ ". &"-' + "(' ). #". %$ "-' ) "-' +. &"(',+. "-'.). "-' +. ". ". ". %$ ". #". ". %$ "('*). &"('*). #"-',+/"-'0+. ". $ ". &"(',+. $ "('*)&"(',+. ". %$ "-' + "-' ). "-' ). #"-' ) "-' ). ',+. 21. /3. 54. /6. 87. 9. $ ". $. ".

(41) 1. 1. 0. 0. 1. 1. 1. 1. 0. 1. 0. 1. 1. 0. 1. States. Symbols. (states,symbols). q0. 0. q0. q0. 1. q1. q1. 0. q1. q1. 1. q1. q0,q0. 0. q0. q0,q0. 1. q1. q0,q1. 0. q0. q0,q1. 1. q1. q1,q0. 0. q0. q1,q0. 1. q0. q1,q1. 0. q0. q1,q1. 1. q1. 0.

(42) ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ á ɕ܍&éÏ 2 É/×ÙѐÛjÍZéÏ ËzÌbÑ£ÏÒIË(СÐ}ÒIËØrÏ}ÐÑzä„åbÔ $(Û ÒIÉMÜBÌ Ë}תÏ(Ü ÊbËzÌ(ÍnΗÍnÌbËà Ô wàÚË>eéÏ Ïџätå—ÐÛbèZè#ÏÑ3СÉwÒIè˜éÏ ËzÛbÑwéÏ ÐÜlϗå˜Ì8ê џätålî Ô ;à Û(ÍZéÏ ËzÌ ÑÕÏÒIË)ÒIÉMÌb×ÙËzÏEãÒI×ÝÌb×ÙÑ#Ø Ì-ÍnÏË}èZÒIÑÕ̠Ѧת۠É:à

(43) ç , çCätåCæ#Ñzä„å , åÐ}ÒIË-Ø Ì ÉwÒIè éÏ ËzÛ ÑÕ̠Ѧת۠ɕÜBÏ}СÐÛ è è#ÏÑ3ÐܠҐÊlËzÌjÍwÎnÏeî ÔÕתà¡ÛjÍZéÏ ËzÌbÑ£ÏÒIËÒIÉMÌb×ÙËzÏZãÒI×;×ÙÉwÑÕÏË}ßCÏË}Ñ3×ÙÑ$Ø ÏСÐÛbèZè#ÏѪÐåÏщî ԟÏdà¡Û(ÍZéÏ ËzÌ ÑÕÏÒIËÒIÉ:Ì ×ÙËzÏ ãÒI×;ËzÌÕçÛbÒIÑ£ÏÒIÉMÏZÌ Ë Ï Ñ£Ï ÏÉ/Ñ3ËjÏØ ÏСÐÛbèZè#ÏѪÐåÏÑ ‰î ÔÕÒwà ÛjÍZéÏ ËzÌbÑ£ÏÒIËEÒIÉMÌb×ÙËzϖãÒIחÌ_çÛ ÒIÑÕÏÒIÉÇÐÛ è è—ÏѐÉ/ÒIè˜éÏ ËzÛ Ñ/éÏ å7ÏѐãÒI×8܍déÏ Ú(Ì ØrÏØ Ì ÉwÒIè éÏ ËzÛ ÑÕ̠Ѧת۠ɕÜBÏ}ÐÌbÒIÑ3ËzÏСÐÛ è è—ÏѪЗë£Ø ÏÐÛbèZè#ÏÑÑzätå8ÜlÏßdתÏÉwэÉ:Û É)É/ÒIè˜éÏ ËzÛ Ñ/_éÏ íbî. Ô —à{Û(ÍZéÏ ËzÌ ÑÕÏÒI?Ë $×ÙÉMÌb×ÙËzÏ ãÒI×IÝÌ ×ÙÑ$Ø Ì8Ú(ÛbÉMÚ(Ì ÑwéÏ É:̠Ѧת۠ɕÜBÏ}ÐÜlÏ1Ò 0 ÊbËzÌ(ÍnÎwÏ}ÐÏÉ)Ø ÏÐØâתÌbÉwÑ ÍwÌ ËØ ÏСÐÛbèZè#ÏѪÐ#ë£Ø ÏÐÛbèZè#ÏÑÑzä„åÜlÏßdתÏÉwÑ$ÉMÛbÉyÉ/ÒIè˜éÏ ËzÛ Ñ/_éÏ íbî s„iBkw] ‚/iBknˆliBuw]™#`bqru5^z\duw`bu5^ vd`bh(`lv^n\dg hzq|]Ÿ\dhm \e]—`bhj›nhz\e]5knq$ˆliBuB^ unilk/]‚M\hj™—\^Ÿ^jhz\ fI\Zhz\d‚nhn\dg ]z\u5^z\dh„m \e]taBhj`l‚nn\e]Z`#‘ ^jhz\d\¢”q|f‰^zy›/iBhzu\lg Ž¡[\e]{`lhz›whz\e]t]zilu5^{`b‚w‚/\dm\eg ]taBhj`l‚nn\e] viBknˆ‰hj`lu5^j] € Œ;`bh(]zq unaalh(`b‚nw](†}Ž A7B À‰¿ DÅ CFFÀE G–!À 

(44) wÛbÒIÑ;ÌbË $ËjÏÜlÏѦËzÏ(ÏÔ ;תÜbÑÙÎ >ÍwÏÒIÑ>ÐIÖjeéÏ ÚË}×ÙËzÏÚ(Û è è—ÏÒIÉ:ÏÚjÛbè„ÍwÛCÐ>eéÏ ÏÜlÏÐ ÛjÍZéÏ ËjÌ ÑÕÏÒIË(ÐpÜBÏpØ Ì¥Ü&éÏ 2 É/×ÙÑ3תÛb É Cî ÈÉ ÌbË $ËjϕР É/Ñ£Ì 0BתãÒwÏEÚ(Û Ë}ËzÏЦÍnÛbÉMÜBÌ ÉwѐÏÐ}Ñ8ÌjÍlÍwÏØCéÏ ÊlËzÌjÍwÎnϗÚ(Û ÒIßeËzÌ É/Ñ£î !ÛbË(ÐãÒwÏ yÏ}Ð}Ñ 2 0„}éÏ æ ×ÙØ{Ï 0l×|Ð}ÑÕÏ)ÒIÉÇÌ Ø Ê5Û Ë}×ÙѩΉè#ϕØâ×ÙÉeéÏ Ì ×ÙËzÏEãÒI×ËzÏÑ£ÛbÒIË}ÉMÏ ÍwÛ ÒIË-ÑÕÛ ÒIÑ ÊlËzÌjÍwÎnϗÜlÏÑ3ËjÏjÏÔ ;תܠѩÎ ÒIÉÊbËzÌ(ÍnÎwÏ Ú(ÛbÒIßdËzÌbÉwÑÕî  `bqru5^z\duw`bu5^`Cˆ `luB^>fI\$‚/iBknˆliBq hfIilunuw\hm \^z\g ilhe\d‘ ™ \ fn\”[iBknhjv\mrm \e]“eqrmB¨ª`lkI^;f\g ­/unq h m|`Em iBalq|Bkw\

(45) ]zknh#m|`l5kn\dm mr\-unilk/]8`bmrm iBuw] ^zh(`Cˆ `bqrm mr\h#‚Milkwhv`lhj`Bv}^n\g hjqr]z\hZknun\-¨ª`l™ qrmrm \)fI\ alh(`b‚wn\d]dŽ;[\^Ÿ^j\{mrilaBqr5kn\{\d]Ÿ^m|`mrilaBqr5kn\{™ iBuw`lfnqr5kn\fIk]z\dviluwf#iBhjfnhz\`b‚n‚nmrq|Bk\g \Z`‘ mr` ^z\g iBhzqr\fn\d]alh(`b‚wn\d]$# ¾˜ÀB¿ Á>ÂéÄdÃ3Å/   Ö Ï}Ð}Ñ$Ø Ì#ØrÛzÊlתãÒwϗÚ(Û ÉwÐ}Ñ3×ÙѦÒdéÏ Ïeà ԟÜlÏÐÚjÛbÉwÉ:ÏjÚÑÕÏÒIË(Ð¡Ø ÛjÊbתãÒwÏ}Ð    î ԟÜlÏÐßCÌbË}ת1Ì $Ø Ï}З܍éÏ ÉMÛ ÑÕÌ É/Ñ$ÜBÏ}СÐÛ è è—ÏÑ3ÐjæÜBÏ}ÐÌbË Ï ÑÕÏ}Ð(æ$ÜBÏ}ÐÏÉnÐÏ/è $Ø ÏÐÜBÏÐÛbèZè#ÏÑ3Ð ÏÑ$ÜlÏÐÏÉwÐÏ%è $ØrÏ}ÐZÜ!Ö Ì Ë Ï Ñ£ÏÐî ԟÜlÏÐãÒwÌbÉwÑ¦× 2Ú(Ì ÑÕÏÒIË(:Ð =  î ԟÜlÏÐ #ËzÏØ Ì Ñ¦×ªÛ ÉwÐ $×ÙÉ:Ì ×ÙËzÏÐÐ}ÒI×ÙßCÌbÉwÑÕÏ}Ðà å(íl)Ü 6!’ànÜ¡Ï}Ð}Ñ:ÒIÉMÏßCÌbË}ת1Ì $Ø Ï”ËjÏ£Í:Ë}éÏ ÐÏÉwÑÕÌ ÉwÑ:ÒIÉ:ÏÌbË Ï ÑÕϔÏÑ  ÒIÉMÏß Ì Ë}ת1Ì $Ø Ï„ËzÏ£Í:Ë}éÏ ÐÏÉwÑÕÌ É/Ñ ÒIɕÏÉnÐÏ/è $Ø Ï ÜRÖ Ì Ë Ï ÑÕÏ}Ðî í Ò 6 È;àÒEÏÐ}фÒIÉMϗߠ̠Ë}ת'Ì $ØrÏ8ËzÏÕÍMË>éÏ ÐÏÉ/Ñ£ÌbÉwфÒIÉEÐÛbèZè#ÏÑÏÑ#È ÏÐ}фÒIÉMÏ#ßCÌbË}ת1Ì $Ø Ï ËzÏÕÍMË>éÏ ÐÏÉ/Ñ£ÌbÉwÑÒIÉpÏÉwÐÏ%è $Ø Ï ÜlÏÐÛ è è#ÏÑ3Ðî  í ×ÙÉMÚlë_ÜCæ©ÒCílà„ÜÏÑ:ÒÐÛbÉwÑRÜlÏÐß Ì Ë}ת1Ì $Ø ÏÐËzÏÕÍMË>éÏ ÐÏÉ/Ñ£ÌbÉwÑRÜlÏÐ$ÌbË Ï ÑÕÏ}ÐÏÑ:ØŸÖ ×ÙÉwÑÕÏ˦ÍMË>éÏ Ñ£ÌbÑ3תÛbÉ ÜlÏ Ú(ÏѦÑÕÏËzÏØ Ì Ñ¦×ªÛ ÉÏÐ(эãÒwÏ ÜÏÑÒ

(46) ÐÛbÉwÑ$ÌBÜÕçÌBÚjÏÉwÑ3Ðî ílÌlÜ_ç ë£Ò‰æ©ßŸílàÒZÏÑ:ߍÐÛ ÉwÑRÜBÏ}Ð ß Ì Ë}ת'Ì $Ø ÏЍËzÏ£Í:Ë}éÏ ÐÏÉwÑÕÌ É/Ñ:ÜBÏ}Ð ÐÛbèZè#ÏÑ3ÐÏÑMØzÖ ×ÙÉwÑÕÏ˦Í:ËéÏ ÑÕÌ Ñ¦×ªÛ É ÜlÏ Ú(ÏѦÑÕÏËzÏØ Ì Ñ¦×ªÛ ÉÏÐ(эãÒwÏÒ)ÏÑ$ßÐÛbÉwєÌlÜÕçÌBÚ(ÏÉ/ѪÐî (í ØŸÖjéÏ ÊBÌbØâ×ÙÑw”éÏ ÍwÛ ÒIË¡Ø ÏÐÌ Ë Ï Ñ£ÏÐ(æ>ØrÏ}ÐÐÛ è è—ÏѪÐ(æ;Ø ÏÐÏÉnÐÏ/è $Ø ÏÐÜ!Ö Ì Ë Ï Ñ£ÏÐÏÑØ Ï}ÐÏÉwÐÏè Ô $Ø Ï}ÐÜBÏÐÛ è è#ÏÑ3Ðî  `bqru5^z\duw`bu5^5kn\•^ziBkw]m \e] \dg m\g ™—\u5^j]]ŸiBuB^\u ‚nmr`Bv\•unilkw]‚MilknˆBiluw]‚w`l]j]Ÿ\dh`lk ^z\g iBhd\d‘ ™—\{fI\[ilkwhjv\mrm \e] # 3. . " ". ". !.

(47) A7B À‰¿ ÅDCFÀFE G–À 4 wÛbÒIђÍMËjÛ1$Ø}Ïê è#Ï#ÜlÏ ÜeéÏ Ú×|Ð(תÛbÉ  Ð}ÒIË¡Ø ÏÐtÊbËzÌ(ÍnÎwÏ}Ð(æÑÕÏØ!ãÒ Ö ×ÙØ>Ï 0B×|Ð}Ñ£ÏÒIÉMÏ ÝÛ Ë}è ÒIØ Ï–ÜBÏØ Ì Ø ÛjÊbתãÒwÏè#Û ÉMÌBܠתãÒwÏܠҐÐÏjÚ(ÛbÉMܗ۠ËzÜbËzÏÑÕÏؒãÒwÏ  ÐÛb×ÙÑ;ØŸÖ ÏÉnÐÏè%$Ø ÏÜlÏÐ ÊlËzÌjÍwÎnÏАÐ̠Ѧ×|ЩÝÌ ×|ÐÌ É/Ñ!æZÏ}Ð}ÑË>éÏ ÐÛbØâÒD$ Ø Ï)ÏɧÑÕÏè„ÍMАØâ×ÙÉeéÏ Ì ×ÙËjÏÐ}×tØŸÖ ÛbÉ¥ÐÏËjÏ}Ð}ѦËzÏ×ÙÉ/ÑÌ Ò10 ÊlËzÌjÍwÎnÏÐZÜlÏÑ3ËzÏ(ÏÔ ;תܠѩÎ8($ Û Ë}ɍéÏ ÍwÌ Ë $ÍwÛ ÒIËÑÕÛ ÒIÑ î [\dvqRuRc \d]Ÿ^tBk!c knu

(48) ]jBkw\mr\^Ÿ^j\fI\m|`Zˆ‰h(`bqr\¡‚nhz\dknˆl\¡fIk^z\g iBhd\d‘ ™—\{fI\Z[iBknhjv\mrm \e] #   C À /À # o!`-f$\g ™—iluw]Ÿ^zh(` ^jq iBu•\e]_^›/`l]I\g \#]zknhmr\#¨ª`bq ^5kn\8mr\d]aBhj`l‚nn\d]fn\#^zhj\\d¢”qrf‰^j›/iBhzu\ g. ‚M\knˆB\u5^$\¼ ^zhj\vilu/]_^jhzknq ^j];fn\$™#`lunq3\‘ hj\hn\dg vknhj]zqrˆl\vil™—™—\$fw`buw]>m|`¡f\g ­/unq^jq iBuZfI\e] %5ž3^jhz\d\ € iBq h„Œ;`lhŸ^jq \ ï †`. ‘ mr`#fIq œt\g hj\uwv\5kn\mrilh(]fIk

(49) hj` _ilkI^„fIk

(50) uniBknˆl\e`bk]ŸiB™ ™—\^d“nmr\d]”`lhd\¼ ^z\e] h(` _ilkn^n\dg \d]un\¡¨©ilhj™—\u5^”‚w`l]$¨©iBhjv:\g ™—\u5^knun\vm q|5kn\lŽ ‘ ‚w`bhz^zqrhtfI\Zmr`#¨©ilhj™knmr\mrilalq|5kn\l“

(51) un\ ]I\g hjq \fI\^z\d]Ÿ^j] € ^j\d]Ÿ^j]]Ÿ\^(†ˆ `-\¼ ^zhj\a;\g u\g hn\g \—`# v\^Ÿ^j\]I\dg hzqr\¡vilhjhj\d]z‚/iBuwf•`Z‘ ^ziBkI^z\e]m \e]¨ª`’v« iluw]”fnilu5^”‚/\dkI^tqru wkn\duwv\dh”mr` uniBknˆl\dm mr\]ŸiBkw]_ž vmrq|Bkw\5kn\m¦c ilu` _ilkI^j\lŽ!ƒtq uw]zqI]Ÿq5m|`¨©ilhj™knmr\vilu5^zqr\u5^ kilk  k € k `bhd\¼ ^j\;ilk]zil™—™—\^}†}“ m|`]I\g hjqr\ZfI\ ^z\e]_^(]viBuB^jq \duwfIh(`fI\e]^z\e]_^(]¡‚/iBknh¡m \e]{\d™—= ‚nmr`Bv\d™ \du5^j]¡‚MiB]j]Ÿqr›nmr\d]¡fI\#v\^Ÿ^z\ `bhe\¼ ^z\ € iBk]ŸiB™—™ \^(†fn`buw]knun\tvm q|5kn\{fn\”^j`lq mrm \t^  ï ŽŒ>iBknh knu8\duw]z\™›wm \tfn\t]ŸiB™—™ \^j] ilkZf’c `lhd\¼ ^z\e]“eiluZ`l]j]ŸiIvqr\ knuw\viBknmr\knh>]Ÿkwh!mr\d]]ŸiB™ ™—\^j] € ilkZ`bhd\¼ ^j\d](†:\^>fI\™

(52) \d¼ ™—\ iluh(` ž _ilkn^z\¡`bqruw]ŸqMknun\uniBknˆl\dm mr\{vil™›wq uw`lqr]zilu8fn\t^j\d]Ÿ^j]dŽ ’c qrm:x8`‚nmrkw]zq \dknhj]$5kw`bu5^jq­/vd` ^j\knh(]“ qrm’¨ª`bkI^^jhj`lq^j\h^ziBkI^z\e]”mr\d]”viB™›nqruw`lqr]ziluw]$‚MiB]j]Ÿqr›nmr\d]\duB^jhz\¡mr\d]„fnqœt\g hj\u5^(]^j\d]Ÿ^j]dŽ ‡{u–il›n^zqr\u5^ `lq uw]zq ( m \uwil™›whz\¡fI\¡^z\e]_^(]”a;\g u\dg hn\dg ] vmr`B]z]z\d]Zf’c_\dg 5knqrˆ `bmr\uwv\d$] #Z\du–\¨Ùž ¨©\^ knušaBhj`l‚nn\8fIiBunu\g un\ˆ `bmrq|fI\h(`)5kRc knun\‚/`bhz^zqr\fI\d]^z\e]_^(]“ v\d]^z\e]_^(]Z]z\hjilu5^v`lhŸž `lv^n\dg hzq|]Ÿ^zq|Bkw\d]$fI\]z`—vmr`B]z]z\fRc_\eg 5knq ˆ `lm \duwv\BŽ [il™—™—\Zmr\uwil™›whz\ fI\Zvmr`B]z]z\d]{f’c_\dg 5knqrˆC`lm \duwv\e]„\e]_^­wunq¦“:m \Z^z\g ilhe\d‘ ™ \fI\—s„x‰nqrmrmž s

(53) \g hji‰fn\p‚M\hj™—\^EfI\šviBuw]Ÿ^zhjknq hj\knu `lkI^ziB™#` ^z\hw\eg ]ŸiBm ˆ `bu5^)v\š‚nhziB›nm3\‘ ™—\E\u ^j\™—‚w] mrq u\dg `bqrhj\lŽ”s

(54) \eg `bun™—iBq uw]d“wv\^`lkI^ziB™#` ^z\Z]c `b‚n‚wm q|5kn\]zknhtmr\d]talh(`b‚nn\e]tvilknˆ‰h(`bu5^j]\^{uniBu ]zknh;m \e]>alh(`b‚nw\d]q unq ^zq|`bkn¤:“B™#`bq|];vil™—™—\m \‚w`B]z]j`baB\$fn\$m¦c knu)`{‘ m¦c `bkI^jhz\”]z\¨ª`lq^;\duZ^j\™—‚w] mrq u\dg `bqrhj\l“‰m3c `bmraliBhzq ^zw™ \hj\d]Ÿ^z\¡m qru\eg `bqrhz\BŽ [{c \e]_^”mrilh(]fI\{m|` a;\dg u\dg hj`b^zqrilu#fI\¡m3c `bkn^zil™#`b^z\¡Bkw\m¦c ilu]z\]Ÿ\dhŸ^”fI\¡m|`¨©iBhz™Zknm \‚Milknh vhw\dg \h$m \e]^zh(`buw]zq ^zqriluw]$\^tvd`bm|vknmr\h”mr\d]\g ^j`b^j]$\u5^jhj`luB^(]\^„mr\d]\g ^j`b^j]$­wuw`lkI¤’Ž  s„iBkw] `bmrmriluw]>fIiBunun\hfI\d]>\¤‰\d™—‚nm \e]>‚/iBknh ™—qr\kI¤—vil™—‚nhj\u/fIhz\$m|`¡‚nhz\dknˆl\fI\{[iBknhŸž v\dm mr\d]dŽ[\]ŸiBu5^mr\d]$^j\d]Ÿ^j]”‚Milkwh”m \e]$¨©ilhj™knmr\d]\dg m\g ™—\u5^j`lq hj\d]dŽ  `luw]m \EfI\hjunqr\hv`l]mrilh(]fIk˜^z\d]Ÿ^fn\•qruwv € \l“ ˆn†}“„^jilkw]mr\d]^z\d]Ÿ^j]uRc ilu5^‚/`l] \g ^n\ g fI\e]z]zq u\dg ]dŽ  À G  3Ày Æ    3à   ÄdêÅM   déÏ ÚתÜlÏË{Ð(×ÒIÉ#ÊbËzÌ(ÍnÎwÏÏ}Ð}ÑÎwÌ è ×ÙØâÑ£ÛbÉwתÏÉyÏ}Ð}Ñ;Ë>éÏ ÐÛ ØâDÒ $Ø Ï ÏÉ)Ñ£ÏètÍ/ÐØâ×ÙÉeéÏ Ì ×ÙËjÏØrÛ Ë(ÐãÒ Ö ÛbÉyÐÏËzÏÐ(ѦËzÏ×ÙÉwÑÌb1Ò 0—ÊbËzÌ(ÍnÎwÏ}ÐZÜBÏѦËzÏ(ÏÔ ;תÜbÑÙÎ $(Û Ë}ÉeéÏ î ¬ u \œ:\^d“¡ˆBilq|vq¡mr`š¨©ilhj™kwm \•m iBalq|Bkw\p5knq¡‚M\hj™ \^)fI\]z`CˆBilqrh]zqkwu aBhj`l‚nn\y\e]_^ w`l™ qrm ^ziluwq \du #   =  ="! $# %'&( €  ) † +*,$- €  . † / ( 10 %'&2 €  ! . 4† 3;ilk 0 %"&52 *5,$- \^ %'&( ]ŸiBuB^„f$\dg vhjq ^j]fI\v\^Ÿ^j\¡¨ª`’v« iBu # %'&( €  ) 7† 6 = , # € , 6   ,76  †   € ,76  8,76  4† 3 € ) 9† / ( 6 #  € =/ < † 2@? € † 2@? €  ( † 3 *5 ,$- C#   , ,D: ,;E € , 9/ < , ,;: ,;/ < : ,D, E  € > ,;2@: ? € 1,;F >  † G, ,;F 6 A > ‚/iBkn,;h : > 6 =ï ,( &l6 †Ÿ4† 3 A, 6 B 0 %'&2 €  ! ) H† 6 =@I KJL# € %'&( € I .J † M86NI O! 6 J † , €  , )P )Q € > 2@? € , P †  € > 2@? , )Q †  P 6+I Q 6 J G,?6  †Ÿ4† 3 6. /6. 6. 6. ". ". ". ". ". ". ". ". ". . ". + ". + " ". ". ". ". ". + ". +. ". +. ". ". ". +. &" " ". . R. . ". ".

(55) sommet numéroté sommet interne v,A le sommet a le label v et n’est pas coloré avec la couleur A.. v,A. v,A. v,A. v,A. v,A. v,A. v,A. v,A. série de tests pour v A, où v est une variable représentant un sommet et A une variable représentant un ensemble de sommet. e,D. e,D e,D. e,D. e,D. e,D e,D. e,D. série de tests pour e. ^ ^ D, où e est une variable représentant une arete et D une variable représentant un ensemble d’arete.. v. v. v. v. e. v. e. e v. v. e. v. e. v. v e. v. e. v. e. e. e. e. e. e. e. v e. v v. v. e v. e v. v. v. e. v. e v. e. e e e. e. ^ série de tests pour inc(e,v), où e est une varible représentant une arete et v une variable représentant un sommet..

(56) [\d]t¨©ilhj™knmr\d]t]Ÿ\dhzˆB\u5^ `#‘ ‚nhjilkwˆl\h{Bkw\hn\dg ]zilkwfIhj\¡m \Z‚nhjil›nm3\‘ ™—\fIk•v(n\™—qru-w`b™—qrmž ^ziBunqr\u

(57) ]Ÿknh”kwuaBhj`l‚nn\8`Z‘ ^zhj\\d¢”qrf‰^j

(58) ›/iBhzu\{g \e]_^”¨ª`lqr]j`b›nmr\\u^z\d™ ‚/]”m qru\eg `bqrhz\BŽ .

(59).  T;U-¹ °)  ° V-° V)YW

(60) ±YUZQ 5    :F

(61) . )    . . . s„iBkw]”`bmrmriluw]$™#`bqru5^z\u/`bu5^”‚nhn\dg ]z\u5^z\dhmr\¡‚nhziB›nm3\‘ ™—\‚w`bhz^zq|vknmrqr\h”5kn\¡unilkw]”`CˆBiluw]$ˆBilknmrk hn\dg ]zilkwfnhz\BŽ:Œ>iBknhv\m|`n“CqrmB\e]_^u$\dg v\d]j]z`lq hj\;fI\]j`CˆliBq hv\5kRc \d]Ÿ^knu‚nhziB›nm3\‘ ™—\fI\$fIq œMkw]zqriluRŽ oR\e]”fIq œt\dg hz\du5^j]™—iIf:\‘ mr\d]\du‰ˆ5q|]j`bal\e`b›nmr\d]8\g ^j`bu5^”uniB™›nhj\kI¤’“IuniBkw]„`lm mriluw]”fnq hj\v\dm knq]Ÿknh mr\d5kn\m!unilkw]t`Cˆlilu/]$^zh(`CˆC`lq mrm\{g \^t\un­wu-‚nhn\dg ]z\u5^z\dhm3c `bmraliBhzq ^zn™—\5knq!`f\ g d`š‘ \g ^n\g ^jhziBknˆ\ g ‚w`lh~Bilw`lunun\p[iBn\uRŽ s„ilk/]uniBkw]‚nmr`Rv« iBuw]fn`luw]8mr\•vd`lfIhj\yfIk˜™ iIf’\‘ mr\yviB™ ™ZkI^n\ g  ž¦‚Milhz^„`bhd\¼ ^j\d]fIq|] _iBq u5^j\d]”5knqR™—iIf$\dg m q|]Ÿ\¡fI\e]‚nhzil^ziIviBm \e]vil™—™—\ƒ ½  s„iBkw]Z`lm mrilu/]ZfIiBuwvvil™—™—\uwv\h ‚w`bh \¤I‚nmrq|Bkw\h—v\5kRc \d]Ÿ^Zkwun\fnqœ:kw]zq iBu1]zknhZkwu alh(`b‚wn\fw`buw]mr\v`BfIhz\fIk™—iIf:\‘ mr\viB™ ™ZkI^n'\ g # ¾˜ÀB¿ Á>ÂéÄdÃ3Å/   :Ûb×ÙÑ 

(62) Zë Ræ í#ÒIÉÊlËzÌjÍwÎnÏeî :Ûb×ÙÑÒ 6 1ÌjÍBÍnÏØ ZéÏ ÐÛ ÒIËjÚjÏæÚwÖ ÏÐ}ÑØrÏÐÏÒIØ ÐÛ è è—ÏÑ;×ÙÉdÝÛbË}è˜éÏ Ì Ò܍éÏ $ÒIÑÜlÏØrÌ#Ü × ”Ò‰Ð}ת۠É:îÈÉMϚéÏ Ñ£Ì(ÍnÏÏ}Ð}Ñ;ÒIÉ-ÏÉwÐÏ%è $Ø ÏÜlÏÚ(ÎnÏèZ×ÙÉ ÜlÌbÉn"Ð „î

(63) ÈÉ:ÏEÜ × ”Ò‰Ð}×ªÛ É ÜBÌ ÉwÐ &Ï}Ð}Ñ#ÒIÉ ÏÉwÐÏ%è $ØrÏÜlÏ)ÓºéÏ ÑÕÌjÍwÏÐEÌjÍBÍnÏØ éÏ Í:ËzÛ ÑÕÛeÚjÛbØ Ï ËzÏЦÍnÏ(ÚÑ£ÌbÉwÑØrÏ}Ð˒Ïjê ÊbØ ÏÐà ÔÕÑ£Ûb҉Ð#Ø Ï}АÚ(ÎnÏèZ×ÙÉwÐÜlÌbÉnÐ8ÒIÉMÏ8è Ï è#Ï éÏ Ñ£Ì(ÍnÏßéÏ Ë}× 2$ÏÉ/Ñ{ØrÏ{ÝÌb×ÙÑãÒwÏØŸÖ ÒIÉMÏÜlÏØ ÏÒIË(Ð Ï 0lѦË>éÏ èZ×ÙÑw}éÏ Ð8ÏÐ(ÑÒIÉÐÛ è è#ÏÑ×ÙÉdÝÛbË}è˜éÏ ÏÑØŸÖ ÌbÒIÑ3ËzϐÉMÛbÉMî ·Ø Ì 2 ɧÜRÖ ÒIÉMÏ éÏ Ñ£Ì(ÍnÏÑÕÛ ÒIÑÕÏ}Ð Ø ÏÐÏ 0BѦËéÏ è ×ÙÑwéÏ ÐÜlÏÐÚ(ÎnÏè ×ÙÉnÐÉMÛbÉ)×ÙÉdÝÛbË}è˜eéÏ ÏÐZÜlÏßdתÏÉwÉ:ÏÉ/Ñ×ÙÉeÝÛ Ë}è˜déÏ ÏÐî ÔÕÑ£Ûb҉ÐØrÏ}СÐÛ è è—ÏÑ3ÐÜB!Ï ¥ÜlÛb×ÙßCÏÉwÑ Ï ѦËzÏ×ÙÉdÝÛbË}è˜éÏ ÐšÌ8ê Ø Ì 2 ɕÜBÏØrÌÜBÏË}É/×CÏê ËzÏ7éÏ Ñ£Ì(ÍnÏeî ÔÕØ ÏÐ éÏ ÑÕÌjÍwÏ}ЕÜBÛ ×Ùß ÏÉ/їËzÏ}ЦÍwÏ(ÚÑÕÏËyÒIÉ Ú(ÏË}ÑÕÌ ×ÙÉÇÉMÛb/è $ËzÏEÜlϕ˒Ïjê ÊbØ ÏÐ-ÐÏØrÛ ÉÇØ Ï•è—ÛeÜ;Ïê Ø Ï Ú(ÎnÛ ×|Ð}תî ÈÉ Í:ËzÛ ÑÕÛdÚ(ÛbØ ÏÏÐ}ÑÛjÍ:Ñ3×Ùè#Ì ØRØrÛ Ë(ÐãÒ Ö ×ÙØ!ÏÐ}Ñ ß Ì ØâתÜBÏZÏÑãÒwÏÑÕÛ ÒIÑMÍMËjÛ ÑÕÛdÚ(Û ØrÏß Ì ØâתÜBÏZÌ8ÌbÒ è#Û ×ÙÉnÐÌbÒIÑ£ÌbÉwÑ$Ü!ÖzéÏ ÑÕÌjÍwÏÐZãÒwÏ Ú(Ï$ÍMËjÛ ÑÕÛdÚ(Û ØrÏdî oR\™—iIf’\d‘ m \)\g ^jkwfIq\g qrvqR\d]Ÿ^„mr`—fIq œ:kw]Ÿqrilu  ž£‚/iBhŸ^„`bhe\¼ ^z\d]ŸžÕfIqr] _ilqru5^z\e]Ž. ilq|vqRm|`—f$\g ­wunq ^zqrilu

(64) f’c `lhd\¼ ^z\e]_žÕfIq|] _iBq u5^j\d$] # ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ÂÇÆ &ÈÉMÏ)éÏ Ñ£Ì(ÍnϔÏÐ}ђÌbË Ï ÑÕÏÐ(ԟÜb×|ÐÙçÛ ×ÙÉwÑÕÏÐÐ}×MÏÑMÐÏÒIØ Ïè—ÏÉwÑ/Ð}×wÑÕÛ Ò‰Ð Ø ÏÐÚ(ÎnÏèZ×ÙÉwÐ É’Ö Û É/Ñ$Ì ÒwÚÒIÉMÏZÌ Ë Ï Ñ£Ï ÏÉpÚ(Û è èZÒIÉpÌ ß ÏjÚÒIɕÌbÒIÑ3ËzÏZÚjÎwÏè ×ÙÉpØ Û Ë(ÐÜlÏZØ Ì8è Ï è#Ï éÏ Ñ£Ì(ÍnÏeî. ilq|vqRm|`—f$\g ­wunq ^zqrilu

(65) fI\  ž¦‚Milhz$^ # ¾˜ÀB¿ Á>ÂéÄdÃ3Å/ÂÇÆMÆ·ÈÉMÏ$Ü × „Ò‰Ð(תÛbÉ8Ï}Ð}Ñ  ÔrÍnÛbË}Ñ’Ø Û Ë(ÐãÒwÏÒIÉZÐÛ è è—ÏÑBÍnÏÒIÑ Ï ѦËzÏÒIÉMÏ$Ï 0lѦË>éÏ èZ×ÙÑwéÏ ÜlύÍMØâ҉Ð}תÏÒIË(ÐÚ(ÎnÏè ×ÙÉnÐÜ × EéÏ ËzÏÉwÑ3ÐØ ÛbË(ÐÜ!Ö ÒIÉMÏè Ï è—Ï¥éÏ ÑÕÌjÍwÏ#ë¦ÐnÖ ÛjÍBÍnÛ Ðϧ̐ê å ÔrÍwÛ Ë}Ñ$Û$

(66) êÒ ÒIÉ ÐÛ è è—ÏÑÉ:ύÍwÏÒIÑ Ï Ñ3ËzÏØŸÖ Ï 0BÑ3Ë>éÏ èZ×ÙÑ/ éÏ ãÒwÏZÜRÖ ÒIÉ)ÐÏÒIØÚ(ÎnÏèZ×ÙÉ•Ø Û Ë(ÐZÜ!Ö ÒIÉMÏ¥éÏ ÑÕÌjÍwÏÕílî  `luw]„v\™—iIf’\d‘ m \B“Im \‚whziB›nm3\‘ ™—\fn\¡fnqœ:kw]zq iBu  ž£‚/iBhŸ^”\e]_^ts{Œ;žÕvil™—‚nmr\^eŽ. ilq|vq!5kn\dmr5kn\e]\¤I\™—‚nmr\d]”fn\fIqœ:kw]zq iBu  ž£‚Milhz$^ #  `luw]v\d];\¤I\™—‚nmr\d]d“lmr\”‚nhzil^ziIviBm \„fn\”aB`bk/v(n\$¨ª`bq ^mr`fnqœ:kw]zq iBu#\u ( \g ^(`b‚M\d]>^(`buwfnqr] 5kn\¡m \‚whzil^ziIviBm \¡fI\fIhjilq ^z\¨ª`bq ^„m|` fnqœ:kw]zq iBu\du &–\g ^j`l‚/\e]Ž  `luw]„v\alh(`b‚nn\B“‰q mR\e]_^„qr™—‚/i5]z]zqr›nm \fRc \œM\ev}^zkw\h„m|`—fIqœ:kw]zq iBu

(67) \u

(68) knun\]z\knmr\p\g ^j`b‚M\l“ fIiBuwvm \‚nhjib^jiIvilmr\¡fI\aB`lkwv(n\\d]Ÿ^„il‚I^jq ™#`bm’\^tv\dm knqfI\fIhziBq^j\¡un\m3c \d]Ÿ^„‚w`B]Ž 6. 6. %6. 6. .

(69) 2. 2. 2. 2. 1. 1 1. 1. 3 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. exemples de diffusion. . . . . .

(70) . . 2. 2. −port dans un arbre..  

(71)  )          . 2.   . . mw\¤Iqr]Ÿ^z\„kwu8`bmralilhjq ^zn™—\”‚Milknh hw\eg ]ŸiBkwfIhj\v\„‚nhjil›nm¦\d‘ ™ \”fn`luw];mr\tv`B]fI\e]`lhz›nhj\d]dŽ mw¨ª`bkI^ f’c `b›Milh(f8­w¤‰\dh„fI\d]uwib^j`b^zqriluw]‚Milkwh”‚/iBknˆliBq h”h(`bq|]ŸiBunun\dh$]zknh”mr\d]”‚nhjib^jiIvilmr\d]dŽ  />Å C Ã©Ä B G–À• Æ ZÌbÉnÐÚ(Ï$ÍMËj1Û $Ø}Ïê è#ÏæØ Ì ÐÛ ÒIËjÚjÏZÏ}Ð}эÚjÛbÉnÐ}ת܍éÏ Ë>eéÏ ÏZÚ(Û è è#ÏØ Ì8ËzÌlÚ×ÙÉMÏZÜlÏ ØŸÖ ÌbË $ËzÏeî ÏÑ¡Ì Ø Ê5Û Ë}×ÙѩΉè#ϐËzÏÉ/ßCÛbתÏ#ÒIÉÍ:ËzÛ ÑÕÛdÚ(ÛbØ ÏÜBÏÜ × „Ò‰Ð(תÛbÉ1ÛjÍ:Ñ3×Ùè#Ì Ø Ð(ÒIË ÒIÉ–Ì Ë $ËzÏ ÑÕÏØ!ãÒwÏÑÕÛ Ò‰Ð¡Ø ÏСÐÛbèZè#ÏѪСÐ۠תÏÉwÑ$×ÙÉdÝÛbË}è˜éÏ ÐØ Ï”ÍMØâ҉ÐÑÕÌ ËzÜ¡ÍnÛ ÐjÐ}#× $Ø Ïeî /ÒIËÒIÉMÏ-ÌbË Ï ÑÕÏ}æZØ Ï Í:ËzÛ ÑÕÛdÚ(ÛbØ Ï ÌEê ÒIÉ:Ï éÏ ÑÕÌjÍwÏyÜBÛ É/ÉeéÏ Ï ÍwÏÒIÑÐÛb×ÙÑÝÌ ×ÙËzÏ#ÍwÌCÐ(ÐÏË

(72) ÒIÉMÏ ×ÙÉdÝÛbË}è—ÌbÑ3תÛbÉÇÜBÏÎwÌ ÒIÑ ÏÉ $(ÌCÐEë_Ú(ϕÚ(ÌCÐ)ÏÐ(їÚ(Ûd܍—éÏ ÍwÌ Ë)å(íCæ ÐÛ ×ÙÑÝÌb×ÙËzÏ8ÍnÌ Ð(ÐÏË)Ì ÒwÚÒIÉMÏ Ú(Û è èZÒIÉ/תÚ(̠Ѧת۠ɚë_Ú(Ï ÚjÌ ÐÏ}Ð}єÚjÛe܍„éÏ ÍwÌ Ë }íeæÐÛb×ÙђÝÌ ×ÙËzτÍwÌCÐ(ÐÏËÒIÉ:ÏÚ(Û è è ÒIÉwתÚ(̠Ѧת۠ÉEÜlÏ $(ÌCÐZÏÉ

(73) ÎwÌ ÒIÑjëÕÚ(Ï Ú(ÌCÐZÏÐ(єÚ(Ûd܍téÏ ÍnÌbËԟå(ílî Ì8ѦËzÌBÚjÏ ÏÐ(эÒIÉ)ß Ï(ÚÑÕÏÒIËÌCÐ(ÐÛdÚ×5éÏ Ì8ê ÒIÉ:ÏZÌbË Ï ÑÕÏæ ÜlÏÑ£Ìb×ÙØÙØ Ï§jéÏ ÊBÌbØ ÏÌbҐÉMÛb/è $ËzÏÜ!ÖzéÏ ÑÕÌjÍwÏÐÜbÒÍMËjÛ ÑÕÛdÚ(Û ØrÏÏÑ>ÐÌ ß Ì ØrÏÒIËÏÉ

(74) ×;Ï}Ð}Ñ;Ø ÏÚjÛeÜlÌdÊBÏÜlÏ Ø ÌÚjÛbèZè ÒIÉwתÚ(ÌbÑ3תÛbÉpãÒI×MÍnÌ ÐjÐÏ ÜlÌbÉnÐØŸÖ ÌbË Ï ÑÕÏ1̐ê ؟ÖjéÏ Ñ£Ì(ÍnÏZתî !ϔÍMËjÛ ÑÕÛdÚ(Û ØrÏZÜBÏZÜb× ”Ò‰Ð}ת۠ÉpÏÐ}Ñ$Ú(Û ÉwÐ}Ñ3Ë}ÒI×ÙэÜlÏÐ;ÝÏÒI×ÙØÙØ ÏÐÏɕËzÏè#Û É/Ñ£ÌbÉwÑÌ8ê Ø Ì#ËjÌlÚ×ÙÉMÏeî Ï}ÐÌ Ë Ï Ñ£ÏÐËzÏØâת̠É/ÑØ ÏÐ ÝÏÒI×ÙØÙØrÏ}Ð1Ì8ê Ø ÏÒIËÍÏê ËzÏËzÏdÞÚdÛb×ÙßCÏÉwÑØ Ì8Ñ3ËjÌlÚ(Ï 3îÙîÙî 3å î ZÏ Ú(ÏÑ¦Ñ£Ï ÝÌbÞÚeÛ ÉÏØÙØ ÏÐ$ÐÛbÉwщÍ:ËéÏ ß ÏÉwÒwÏÐØ ÛbË(ДÜBÏ”Ø ÌÜBÏË}É/×CÏê ËjÏEéÏ Ñ£Ì(ÍnÏeî ”ÛbÒIËÒIÉ#É:ÛdÏÒwÜCæ’ØŸÖ ÌbØ Ê5Û Ë}×ÙѩΉè#Ï ß Ì-ÚË>eéÏ ÏË Ø ÌѦËzÌlÚ(Ï#ÜBÏ—ØŸÖ Ì Ë Ï ÑÕϗËzÏØâת̠É/Ñ„Ø Ï{ÍÏê ËzϘÌê ÐÛbÉÍÏê ËzÏ8ÏÉÌbÉMÌbØ CÐÌ ÉwÑtØ ÌÑ3ËjÌlÚ(Ï#ÜlÏÐ Ì Ë Ï ÑÕÏ}ДËzÏØâת̠É/Ñ>Ø Ï}Ð 2Ø ÐtÌ Ò¡ÍÏê ËzÏeî „Û ÒIË{Ú(ÏØ ÌCæ×ÙØwß ÌËzÏ£Ê5Ì ËzÜBÏËtØ Ï}ДѦËzÌlÚ(ÏÐpéÏ ÑÕÌjÍwÏ ÍnÌbËEéÏ ÑÕÌjÍwÏeà &ÒIÉ¥Ì(ÍlÍwÏØ)̕ê ØŸÖ Ï 0lÑ/éÏ Ë}תÏÒI˕ëÕå}íCæ×ÙØMÝÌb×ÙÑZÚ(Û Ë}ËzÏЦÍnÛbÉMÜ ËjÏ

(75) ÒIÉ¥ÏÉwß Û ×ß ÏË(АØzÖ Ï 0BÑwéÏ Ë}תÏÒIË ë£ÔŸå(í8ÜRÖ ÒIÉEÌ ÒIѦËzÏZÜBÏÐÏ3Ð 2 Ø Ðî {Ò 2ÉMÌbØ æ۠ɕËzÏ£ÊBÌbËzÜlÏØ ÏÐÌ(ÍlÍwÏØâÐËzÏÐ(ÑÕÌ É/ѪÐà Ô ZÏ1Ò 0

(76) ÏÉ/ßCÛb×|Ð Û Ò#ÍMØâ҉Ðß ÏË(ÐØŸÖ Ï 0BÑwéÏ Ë}תÏÒIË ë Ô ílàØrϔÍÏê ËjÏtÍnÏÒIфÏÉpÒIÑ3×Ù؝×|ÐÏËÒIɐÍnÛbÒIË ÐnÖ ×ÙÉdÝÛbË}è—ÏË{ÏÑÏÉÏÉ/ßCÛ lÏËtÒIÉ#ßCÏË(Ð”ØŸÖ Ï 0BÑwéÏ Ë}תÏÒIËî—ÈÉMÏ!ÝÛ ×|Ð„Ø Ï;ÍÏê ËzÏt×ÙÉdÝÛ Ë}è éÏ æØ ÏÐtÌjÍlÍwÏØ Ð Ìê ØŸÖ Ï 0lÑ/éÏ Ë}תÏÒIˍÍwÏÒIßCÏÉwÑ Ï Ñ3ËzÏ ÑÕ۠҉ÐËzÏètÍMØ ÌBÚ;éÏ Ð„Íw̠˗ÜlÏÐ ÌjÍBÍnÏØ Ð—ÌbҗÍÏê ËzÏ#ÏÑ”Ø Ï„ÍÏê ËzÏtÍwÏÒIÑ ÑÕÛ Ò}çÛ ÒIË(ЧéÏ è—ÏÑ3ѦËzÏÒIÉyÏÉ/ßCÛb× ß ÏË(ÐØŸÖ Ï 0BÑwéÏ Ë}תÏÒIËî ÔCÈɚÏÉwߠ۠׍ߠÏË(Ð—ØŸÖ Ï 0lÑ/éÏ Ë}תÏÒIË

(77) ë£ÔŸå(ílà ϔÝÌ ×ÙÑãÒwÏ—ØŸÖ Û É)ÍnÏÒIє×ÙÉdÝÛbË}è—ÏË#Ø Ï¡ÍÏê ËzϘÌ)ê Ú(Ï è#Û è#ÏÉ/ÑtÏɖÚ(Û ÉwÐÛbèZè#Ì É/Ñ”ØŸÖ ÌjÍBÍnÏØÏÐ(єè éÏ è—ÛbË}×|ÐéÏ æ”è—Ìb×|ЄÍwÛ ÒIËZØ Ï—è#Û è#ÏÉ/єÒIÉyÐ}םÊlÉMÌ Ø . . . .

(78)  . . 3. . . 3. ï $.   .

Références

Documents relatifs

programme objet (lang. virt.).

[r]

Un double clic signifie cliquer 2 fois très rapidement (et sans bouger la souris !) avec le bouton gauche de la souris.. Les icônes peuvent prendre n'importe quelle

Cоветские власти тогда не отреагировали заметным образом на нарушение принципа первенства между братскими республиками, считая, по-видимому, что издание на

De cette troisi` eme loi, on d´ eduit qu’il existe un facteur constant entre la force exerc´ ee et la masse de la plan` ete consid´ er´ ee, qui est la constante de

Les travaux de Hermann G¨ unther Grassmann et William Rowan Hamilton sont ` a l’origine du produit vectoriel d´ efini par Gibbs.. En 1843, Hamilton inventa les quaternions

Motivation : J’ai connu France Lymphome Espoir en 2018 lorsque mon fils de 23 ans a été touché par un lymphome de Hodgkin – il est actuellement en rémission depuis 3 années. Je

Cureton, William and Charles Rieu, Catalogus codicum manuscriptorum orientalium qui in Museo