Termination Proofs Using gpo Ordering Constraints : Extended Version
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Termination Proofs using gpo Ordering Constraints – extended version –. Thomas Genet and Isabelle Gnaedig. N ˚ 3087 January 1997 ` THEME 2. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6)
(7) ! " #$
(8) &%'
(9) ( ) *+ ) ,.-/102-43657-4598:-; <>=@?:3., ACBD6EGF7HJI.KMLKMNOF7L)PRQ>HSF7TUKMVWVXK9I.LFYKZP[X\^] _a`cd+b efdhg*ikj9d+l mon@dp@q4rMn@s ntd+p d u s vpwsx1pcUy{z| e~_}7q4p@nwM x1d qd u v4oYq u:d d+s ` d s ` dm~4M4|.iMv4m|x1v z$+MZikZ~1vrMd+y. J )+ o44 ¢¡
(10) £¤M¥£2¦§£2¨©UªZ£«¥£¬+¨¬ ¯®S°+¥±²©ªM³µ´w° ¥¤M¥°¶±¯¨Z®h©£«¥³·±¯¨Z¬ ©±¯°S¨°+´c©£«¥³¸¥£«¹¥±²©±¯¨Z®~¦»º4¦»©£2³·¦U¼º ½±È¨M¾|¦»¿ ©{¬+° ¨M¥{Á2ÀM££«¥° ±¯´c¨Z®·©ªZÁ«£°S¨Z®S¦»¤:©§°*¥{¬ ®S±¯¨£«¨Z©£«¦§¥°S±¯Á¯¶° ±¯¨Z¥{®MÀMÂÄ£«¥Ã±¯¨MªM®M£Æo¬+¤M¯¥®S°° ¶¥±¯±¯¨Z©ªM®h³µ©£«¥®+³·±¯¶Å±¯£2¨Z¦2¬ Æo©¬ ±¯°S¦a¨C¬+Ç4° ©´°S¬·³*®S¬±¯©¶Å±È£«Á2¨C¬+¯²¦»ºCºM¦»¬+©¦U£«³f¤:°SÂU¦§É)¦§±¯¼Z°S¨Z¯£S¦»Æ:©§¥{¬+¬ ¨±¯¨¬+©a¤M¦§¤M°S¥¯°+¶¤M±È¨M¥±È®*¬ ©±È£¦ ÀM°S¨M£a£«Ê·Á«±È£«¨©²º~©ª|¬ ¨Z˦©°·¬ÌUÍÄÎϦ§ª|¬ ¥£2À~©£«¥³¸ÀM¬ ©{¬¦»©§¥ÇMÁ«©ÇM¥£S Ð$ÑZÒ6Ó«Ô~Õ Ö)4 _ d e d × nÈu«ntmorYØ _ d efn@m1vu«ntqMm Ä q|q4ÙØ :d n@morÚUq4m1y{u vn@mZuÛ:q4p@ÜZn@mor. êSëYìí2î²ïwð ñâò(óSô>ìí2õâö ÷)øùÅø§úâû üýõWí2þø{ï²ï²ø>ö ÷)ùí2øÿÅî )ï²ô Xî¯íSö {ûSóú ú Zð . . .
(11)
(12) . wÝ Þàâß áWãSä àß )å æ@á»çWèé ö ï²ô Wî¯íSö «ø Åî ø Wô2úXóÅøôÅö ó úXìï .
(13) .
(14) . Unit´e de recherche INRIA Lorraine Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY (France) 615 rue de Jardin Botanique, BP 101, 54600 VILLERS L ES T´el´ephone : (33) 83 59 30 30 – T´el´ecopie : (33) 83 27 83 19 Antenne de Metz, technopˆole de Metz 2000, 4 rue Marconi, 55070 METZ T´el´ephone : (33) 87 20 35 00 – T´el´ecopie : (33) 87 76 39 77.
(15) µ#$ )
(16) *)
(17) · O #$ * # #$ ! ,$8:-4; <>=@?| 3 - 02-4365
(18) 7-, Ñ Ñ U°SÇM¦U¤4¥ £2 ¦§£2¨©°S¨M¦UÇM¨C¬+¯®S° ¥±²©ªZ³·£ÀM£¤M¥£2ÇM¶Å£ÀM£©£«¥³·±¯¨Z¬+±¯¦§°S¨À4£2¦¦»º4¦»©£2 ³·£2¦ÄÀ4£¥£ £2 Á«¥±²©ÇM¥£ ¤|¬ ¥¥£2 ¦§°+ÈÇ4©±¯°S¨9ÀM£*Á2°+¨©§¥{¬ ±¯¨©£«¦À ° ¥{À4¥£ ½¾|¿  ! ¬ È®+°+¥±²©ªZ³·£*´w°+ÇM¥¨M±¯©>Æ(À4£*t¬f´w¬ Á2" °+¨9ȬC¤Z¯ÇM¦¬ ÇM©°S³*¬©$± #ÇM£ ¤:°S¦§¦§±¯¼Z¯£SÆMÇZ¨M£U±¯¨Z¦»©{¬ ¨ZÁ2£aÀM£Ä% ° ¥{À4¥£a&® £2 ¨ £« ¥$± #ÇZ£U®S¤:°4ÆM¤4¥°SÇM¶S¬ ¨©)Ȭ©£«¥³·±¯¨|¬ ±¯¦§°S¨'À ÇZ¨*¦»º4¦»© £2 ³·£aÀ4£Ä¥ £ £2 Á«¥±²©ÇM¥£ ÀM°S¨M¨£S ( ) +£ *M¤M¯°S¦§±¯°S¨ À4£2¦hÁ>¬ ¯Á2ÇZ¯¦~¬+Ç Á2°SÇ4¥¦*ÀM£È¬¥ £2 ¦§°S¯ÇM©±¯°+¨ £2¦»©·³*-¬ ,.²©§¥±È/¦ £« £J® 0¥ ¬+, Á21£ ¬O ÇZ¨M£¦»©§¥ÇMÁ«©ÇM¥£ÀM£ ©£«¥³·£2¦¤|¬¥§©{¬+&® £2 ¦2 2Õ S Ó 3 Ñ Û|z:y{u d+b edSy:d d^l d+l s ntuâx d4Ø d xoÜMd$:d.u«d en@m1v4n@yâq4mcØ d+l yâq4p@x:uân@q4m :d s q4mZu vn@mZuâdSy ) 4 q d.
(19) .
(20) "!#%$&'( *)+ # , - # ,. %' .0/(1 + Õ Ö )32 Õ 1 5768 Ñ ++:Å3 2 1:9<; Õ 2 1 4 >=@?A BDC Õ 3EF2 1:9 =3?GAJ Õ 1 +Å#2 1 + )32 1:9 Ñ / 8 o@2 1H9 Ö):S!+ /) ( Ñ Ñ K6Ó Ö Ñ Ö )3 2 Õ 1 3 Ñ 4J68 Ö 42 Õ 1P; Õ Ñ + L 1 'Ñ M ' ; 3 Ñ$Õ NOK6Ó Ö Ñ 2 32 ÒGGÕ NVUhÓ ; ÕcÕGN IRQ Õ EF2 1:9 S: 2X S:T XJYÕ 1 3 ) 2 Õ 1 1 Ö ; Ñ ; Ñ 4 2ZE Ñ J\ M ; 3 Ñ Õ NÑ McÑ 2 Õ 1 ]JQ ÕcG Õ N ^>_ =@?A nwyvZx1vMy{an `»q :d ntm1r~q4c m bed,fghji ` vÅÜ|n@moru ` d*yâxo}:u«d e q47d uz _k_l_k_l_k_>_k_ ^>_ g j q4x1m1Oy{u«v4}on@ptntuz _k_l_k_l_k_k_l_k_>_k_l_k_k_l_k_l_k_l_k_k_>_k_l_k_l_k_k_l_k_l_k_>_k_ ^>_ Û:q4xom1omod+y«yaqÙ:d+ox1s>u«ntqMm xop@d+y _k_>_k_l_k_k_l_k_l_k_l_k_k_>_k_l_k_l_k_k_l_k_l_k_>_k_ ^>_ m ÚUqMefoptd uâd+mod+y«yaqÙ:d+ox1s>u«ntqMm xop@d+y _k_l_k_k_l_k_l_k_l_k_k_>_k_l_k_l_k_k_l_k_l_k_>_k_ ^>_on ÚUqMefoptd p:nÈuzq4Ùod+:x1suân@q4m xoptdSy _k_>_k_l_k_k_l_k_l_k_l_k_k_>_k_l_k_l_k_k_l_k_l_k_>_k_. qHq. ùsrtuv(w. 4 4 I .. .4 .WL .[ 55 5 X. Zg g4 Mm . n.
(21) # @ (
(22) (
(23) &( " a G '"& m. )J#.1 _ qf qÜ4du«d efntm1vuân@q4m qÙv _ d e d × nÈu«d·Û:z|y{uâd+e d _ ÛCÙ q y ` q u"i>Ø|u ` d·efqMy{usq4efefq4m1ptzxYy{dS efd u ` q:O n@yUuâqf:d 1 mod·v~×d p@pa`XÙ qM_xom1 :dSq : d n@mor~` }7du× d d+mu«d efyav4m1Jy ` q× u ` vud+vMs ` d × nÈu«dy{uâd+ nwyv9y{u n@suâp@z od+s d+vMy{n@mor9y{uâd+ mr4d+mod vpWØ)u dO qZq4Ùn@yeCv4:dO}|z Ü4d nYs vuân@q4mq :d n@morMyv d u«d+y{uâ dS vu v4m1:` q4e q x1yântm1 r ` xoeC`v4mOd p|7d uânwyâd4Ø:xomZuân@p(v4m
(24) v4o q4 nwvuâdq4m1dnw yÙ q4x1m1 _ Ù q4e'x sqMm1r4y{qMu v4 vp n@mMd u2yd4q4ØYmn@yv*uâr4q d m1d+d : xYn@ssd q oxod eC ntmovm
(25) rYØ4d(×p:d7d ×n@uâptnwp y{d~` d }Zp@fzOu ×U` q dx1n@yâmod rf uântm.q~}1vCxos ntq4pwm1y{v4u mx1vsouân@Ü4 dhq4 × vÅnwvzu«Ädy{y{u«7v d+u«s ntnm1Yrs n@m1y{u«_av4m1` sdhqÙ)u ` n@yq od ntmor}|zJx1yântm1rf yâd ef an `»v4x:uâqMeCv` uânwshsqMm1y u v4ntmZuy{` qMptÜ| n@morf efdu ` =@q|?1A y _ d r4d+mod n@s.q :d ntm1r1Øa ×Ud yu2 v uÙ qMe
(26) Øn@yJu d r4d+mod vpYvu q :d ntm1r d iod+yânt rMmod+ }|z d y ` q×nÈu Uv4m1 q|q u ZÙ q (d p: d+y«y{n@morn@mfvyântm1r4p@dUmoq4uân@q4mcØvpwv r4dUyâduqÙ7×Ud+ptp moq×mq :d ntm1rMy yâz| mZu«v4suânws q :d ntm1 rMy y{x1s ` v4!y _*?GA tS"g q # ?GA $ WØav4yf×d p@p v4yC` yâd eCv4mMu«n@sOq :d n@morMy p@n &d %
(27) ?G A ' q YqMptz|moqMefn@v4pq :d ntm1rM(y ÈM) un@y}1v4yâd+Gq4m v p@(d p:n@s q4r v4 nwsOs q4e~}1ntm1vuân@q4mÏqÙ "W +( #_ v uânwsxopwv q :d n@morMy+Øy{xYs ` v4yu ` qMyâd s nÈu«d+Ïv}7qÜ4dMØv dJq4}ou«vn@modS }|z ntmYyu2vmZuânwvu«ntmor u«d ef ntm1 vuân@q4mOÙ xo` m1s uân@q4m1y×ntu ` 1v u«n@s xo` pwv Üvp@xo d+y _ =@?A ` ` x nw:d+v d d n@` yuâq sqM e~}on@modOu d r4` d+mod nwsntuz!q4Ù ×ntu u d$sqMm1y{u x1 s>u«ntÜMdJ7q×U d q4Ùu ` d s q4m1y{u vn@mZuvo qMvMs ØZuâq qÜ|nw:d·vefd u q:$v4yvx:u«q4eCvu«n@shv4yYqZyâyânt}1ptdhÙ q qÜZn@moruâd efn@m1vu«ntqMm q4Ù _ Û _ ÛZu«v u«nt mor Ù q4e n@mod+Zx1v4ptntuân@d+ yqMmÏv!r4d+mod vp1vu ` q :d ntm1r1 Ø×dO×n@p@p dS:x1sd u ` d$y{d ufq4Ù 7qMy«yânt}on@p@nÈu«ntdSy Ù q n@m1y{u«vmZ` u«n@vuân@q4m.q4Ùuâd efntmY_ vuân@q4m9Ù xom1suân@q4m1y}|z.sq4mYyu v4ntmZuyâq4p@Ü|ntmorYØYx1mMu«ntp×d~rMduv Yv uâ_anws` xopwv q :d n@mor× d m
(28) ` ntu n@ya7qMy«y{n@}o p@d ` u2v4s ptdS n d dnwyam :n ,7d _0d+mM/ uUÙ qM e u dhsqM m1yu v4ntmZuU` v4o ` qMvMs ` qÙcq :d n@mor* q4}1ptd+efy v4p d+vM:z d q4q4}o7p@qMd yâe d+ goØ Ø .oØ ØU' p@pv d$sqMm1sd m1d+G×nÈu u d.y«vu«n@1y Yv}1ntp@nÈuz qM}op@d e q4Ù q od ntmorCs q4m1y{u vn@mZu«y _2 m$ q4x _ v4o qMvMs `J` q×d ÜMd Ø:×Udhu zJuâ!q 1m1$v =@?A q :d n@morÙ q Üvp@nwovu«ntmor n@modSM_axY` vp@nÈu«ntdSya}Y d u` ×Ud+d m uâd eC y ` d × ntuâd d vxop@r4p@d+q y _*ntu _ae
(29) ` d Øo× d·y{u· yq4u«d 7 qMyâsd4q4ØomY×y{qnwyu2yyan@mntm
(30) yâuz|×mZqu«v4ysu«uâd nw1s v4y+pØ1xYyâq4y{n@p@moÜ|ntrm1rJvuâqd Ù =3e ?GA y sv qMm1ntm1yu rf v41ntvmZu«u2vCyuây{qu x1r4n@sÜ4uâdx !GdhÙq ' - ,- × ` nws ` v dfq :d n@mor$sqMm1y{u vn@mMu2yq4m =3?GA u«d efntm1vuân@q4m Ù xom1suân@q4m1y _O_a` dyâd+s q4m1 y{uâd+ s q4m1yânwyu2=@y~?n@A m qÜ|nt m1r y«v_ uânw1y Yv}on@p@nÈuz qÙ q|q4Ùq4}op@n@rMvu«ntqMm1y~uâ3q 1m1v4mn@m1y{u«vmYsd qÙ =@?A y«vu«n@y{Ù z|ntm1r n@montuânw vp sqMm1yu v4nt` mZu2y =@?A m Û|d+suân@=@q4?mÏA goØu d :d 1montuân@q4mÏ vm1 u ` d d+p@v` uâd+ uâd efntmYvuân@q4mu ` d+q d e v =@d ? A d+s+vp@ptdS _ m Û:d+s>u«ntqMm oØ sqMm1yu v4ntmZu2y Øv.sqMm1y{u vn@mMu~v4o qMvMs q4Ùauâd efntmYvuân@q4m q|q4Ù y·}|z vMy·×Ud+ptpav4y yâ7d+sn Ys1vu« vy{u x1suâ x =3 ?Gd+y6A Ù q v4s ` ntd+ÜZn@mor =@?A sqMm1 yu v4ntmZucyâq4p@ÜZn@morv d d+yâd mZu«d+ _(_a` d mcØÅn@m~Û|d+suân@q4m m Ø od+:x1suân@q4m xoptdSyaÙ `q s q4_4m1/ y{u vn@mZuyâq4p@Ü|ntm1rv dho d 1modS^ ØoÙ qMptp@q×d+O}Zz
(31) yâq4xom1omod+y«y Øos q4efnWo_6p@5 du«d modSyây v4m1fsqMe1ptd p|ntuz*u d q d+eCy mC(d pov4e1ptdq4Ù^od+:x1suân@q4mf q:sd+y«ynwy:du2vn@ptdSfntmÛ|dSs>u«ntqMm n@m1v4ptp@z4Ø n@m.Û|d+suân@q4(m .oØ: v4suânws v4p^ed u ` q:oyÙ q uâdSyu«ntm1ryâvuânw7y Yv4}on@ptntuzCqÙ qZq4Ù qM}optn@rMvuân@q4m1yav dhr4n@Ü4d+m _ :9
(32) c ·)
(33) k!+ < ;>=6?A@ 8 B d u f}7dJv$yâdu~q4ÙÙ x1m1s>u«ntqMmy{z|e}YqMp@y+Ø(dSv4s ` q4modJ×nÈu ` vm v ntuz4Ø h v$yâduqÙÜv n@v4}optdyâz|e~}7q4pwy Ø bdfgh i*u ` d.yâduqÙuâd eCyC:d 1modSGqMm f vmY hØUvmY bdfi~u ` d.yâduq4Ùr qMxom1uâd eCy _*5 q o d 1montuân@q4mYyqÙ^exopÈu«n@yâduSØ|q :d ntm1r1Ø4Zx1vMy{an `Wq od ntmorYØe~xoptuânwyâduUd p|uâd mYy{n@q4mcØMptd p:n@s q4r v ` n@sd pZu«d m1yân@q4mcØ ×d p@ap `XÙ qMxom1:dSJq :d n@morYØ d × ntuân@morCvm1Oqu ` d x1yâx1v4pc: d 1m1nÈu«ntqMm1y ØYy{d+!d m _
(34). üDC q ü E.
(35)
(36) "!#%$&'( *)+ # , - # ,. n. d uÄx1y dSs vp@p:u ` d:d1mo ntuân@q4 mfqÙ =@?A q :d ntm1rÙ q4e d y ` q×ntuvmY q|qu ' _)_a` n@yU:d 1m1nÈu«ntqMm nwya}1vMy{dSJqMm
(37) s q4ef7q4mod+mMuq :d n@morZyod 1modS
(38) v4yÙ q4p@p@q×y / s q4ef7q4mod+mMuq :d n@morq4mcbedfinwyv1vn g y{x1s ` u ` vu nwyv ` qMefq4efq ` nwy{e Ù q4e bed,fihuâq vmGvp@r4d } v vmY n@yv9×d p@pa`XÙ qMxom1:dS Zx1v4yân ` q :d n@morqMm *Øoq n@yfv Ù xom1suân@q4m d s v4ptp@d+Ge~x1pÈu«n@yâduC(d p|u vMs>uân@q4mÙ xom1suân@q4mÏntm i~Ù q4e u«d eCy~u«q e~xoptuânwy{d u«y qÙy{d+ptdSs>u«d+ ntefefd+:nwvu«dy{x1}:uâd eCy+Øcu ` ` vu*nwy d Td % @g g% ii =@?'A % @g _g% ZØ(y{xYs ` u ` vu g g M' g (g *v4m1 nwyu d·e~xoptuânwy{d u(d p|uâd+m1yântqMmOq4Ù nÈu2y{d+pÈÙ 5 q vm|z MxYv4yân `»q :d n@mor _!_a` d Ø×d ` vÅÜ4d v4m1 vd s+vp@ptdS =@?A ( G - ,` - "W + ,- _!5 q v4mZz
(39) u«d e % be=3d,?GfA i>Øc× dod moq4uâdf}|z 'd %@i_ u B ` duâxo1ptd d %3i(g g 'd %@i Ø × d d vm1 g (g v d uâd efn@m1vu«ntqMm!Ù xom1s>u«ntqMm1y d u }7dfu ` dv4y«y{` q:snwvu«d+ q :d n@mor1Øcn _ dfu ` dCp@(d p:_ nws_ q4r ` v4 ` nwss q4e }ontmY` vuân@q4m!qÙaq :d n@morMy g (g 4Ø vmY $}7du dOv4y«yâq|s n@vuâdS dSZxontÜv4ptd+m1sdMØ)n d u dp@(d p:n@ s q4r v4 nwsCsq4 e}on@m1vu«ntqMm!` q4Ù` d+Zxon@Üvp@d m1s ` d+y g (g Øyâx1s ` u ` vu g g vm1 g g v _d dSy{7d+suân@Ü4d+ptz d pwvuâdS·u«q_ u d q4efq4efq nwyâefy g g _ B du }7dhu ` d d+p@vuân@q4m d*:d+moqu«d }|z Ñ S 1 2 3 2 Õ 1 . G 'G D $&'( " s e3 H " +"V! - G # & - r4d m1d vpo1vu ` q od ntmor - bedfi
(40) & + , g &' G"& B. . . .
(41) . . . . . . # . #$&%. . '(! . *. . . . . ,+. ".0/1. -. . 32. 5.7/1 6 . 4. %. ; . . . /=<?>. . "!. . ). . #. 98. . @2BADCFE. G2. 2H. +IAJCFE. G+. K+ . B2. . . ?. U. 2. K+. L+. . 92. ADCME. ;o. . p2. idjk. +. idjkBN. . wv. %. yv. %?2Bijkzrdg(g %2BidjkHr. idjk. ]\L^`_. r. (l e ( ( % $. - G& 8. = d;r g gr. idjk. d %@iz2BADCFEQ8 d;ri. Ñ|Õ Ñ. . 2. idjk. ]l. nm. istr $. %[x - . .}VY (" [Zs ]\@^~_- sa 6e8 - bed,fi #;. (a bdc Xfe. hBidjk. e. % qTd %@gg% is+Iidjk = d;rd@ggr I. %?2BidjkBrd@g(g %2Bidjkzr $ x{r|2Bidjk%@ggrH2Bijk%
(42) &. T8. Z. idjk. % qTd % gg% iH2 I. - G k D e Z (' Zs +" (( a&@u . [Z. e. m. . Q8IR : S. ADCFE PO. X VY. . . . +. ADCFE?N. WV. ; . g. g. . : . *(- ' H a(<# . H(. bdc XGg. 1 x. . $ 8. istr d %3is+IAJCFEQ8 dri. =3?GA. idjk. e. e. Zs em@" W. ' G -W G& (" W ,- @
(43) &. ( G - (. x. %'g r % bed,fiKx % r G& %BidjkTr ! T d(g%'goiTBidjk
(44) TdMgdrg i (* m -W G& +" # TdMP i e. d u d g i~}7dOv9yâ7d+snYsOntmYyu2vm1s dJqÙed g 'i>ØÄ× ` ` d d nwy*u ` d s q4e}ontmYvuân@q4m q4Ù u` «d en@m1vuân@q4m `Ù xom1suân@q4m1y g (g Øvm1 g g v dfu ` d d pwvu«d+ Zx1` vMy{na`Wq od ntmorZy nwyfu d$ptdp:n@s q4r v n@s sqMe~}on@m1vuân@q4mÏqÙ g (g Ø nwyu 9d ptdp|nwsqMr v n@s sqMe~}on@m1vu«ntqMmGq4Ù. B 0 =@?A. ; R : S K. AJCFE. 8. Q R S. . L. qHq. ùsrtuv(w. BADCME. R K S S 1IADCFE. R . @ R : S. HBADCFE.
(45) # @ (
(46) (
(47) &( " a G '"& .. _ ` d ms ` q|qZy{n@morhvyâ7d+snYs 4Ø vmY d g i Ù q d g i>Ø 3 = G ? A ` ` ` ×dqM}:u«v4ntm 4 q Ù Z Ø â y 1 x s M v y Ù q (povefop@dp@d(p:nwsqMr v nwsa1vu q :d n@mor d vefntm B d l Ü|z d $Zi>ØZe~xoptuânwyâduUYvu ` q od ntmorYØ7q4p@zZm1q4efn@v4po1vu ` q :d n@mor d B vm Ù q (ÈM)Zi _ 5 q efq d:du2vn@p@y+ØMyâd d d y ` q×nÈuv4m1 q|qu _ / mOn@m1y{u«v4m1sdqÙ u ` d =@?A }Yv4yâd+qMm v1v u«n@s xop@v d g iU×n@ptp }7d*:5 d+mo qu«d+ _ q q47d vu«ntqMm1vp@p@zC qÜ|n@moruâd efntmYvuân@q4m qÙ _ Û:ya×ntu ` =@?A Ø|u ` d·x1yâx1vpcv4o qMv4s ` sqMm1y{nwy{u«yan@m od 1mon@mor.v
(48) ` yâYdSs n Ys =3?GA q4m!r `q4xomY.u« d efy· v4m1!# ntefop@nwsntuâp@z9` x1yâ# ntm1r vMy·vm!q :` d ntm1_rO qMm u«d eC` yh×nÈu# ÜÅv nwv}1ptdSy}|z qÜ|n@morOu vu·Ù q v4ptp ` xop@d ` <d ×ntu g1 bed` fghjiiqÙu d Û6Ø ×d vÅÜ4d vm1 %'g bdfgh i>Ø yâx1s u vu % g bedfiØY×d vÅÜ4d% 3 = G ? A T _ 5 ` ` ` % q ef` q ds p@v ntuz4ØZ×Udhs qZy{d d du«qd p|1ptnw sntuâp@z: d `Ymod q4mu«d eCyU×ntu _ Üv n@v4}optdSy _ d yud pZu«d m1Ou d*: d YmonÈu«ntqMm1yq4Ù v4m1 fqMmJu«d efya×ntu Üv nwv}op@d+yvMyÙ q4p@ptq×y Ñ S 1 2 3 2 Õ 1 5 H %'g bdfgh i g. (g. S. R . . L.
(49) BADCFE. ADCME. # - +". N. IADCME. O. . R : S K. . . . *. idjk. z. . . . ; R : S . BADCFE. ADCME. ijk. . . 8. ADCFE. . %. r. . idjk. ijk. %. r . %. . r. ijk. . r . idjk. O. P8. U. g. 8. d %@iH2. 8. d %@is+IADCFEG8. 8. d %@iHBADCFEG8. r. 8. ADCFE. 92BADCFE. e. %. dri s(- ' ,W Pe Fe % gdr % e b d,fiKx dri s(- ' ,W Pe Fe % gdr % e b d,fiKx dri 8 d %@iH2BADCFE 8 d;ri 8 d %@is+IADCFEQ8 d ri e. Z. . l 8. d% z i 2. Z. . l 8. d% i. 8. dr Ki x. +IADCMEQ8. dr Ki x. ADCME. _a` vm yCu«q u ` n@yOd(p|u«d m1yântqMm qÙ·u ` d.u«d efntm1vuân@q4m Ù x1m1s>u«ntqMm1yu«q bed,fghjiØu ` d :d1montuân@q4m q4Ù·u ` d r=@M?d moA d v4p Yvu ` q :_ d n@morOn@yhdpZu«d m1od+ uâqbed,fghji _ 51 qMe moq×qMmcØc×d×n@p@px1y{du ` dC:d 1m1nÈu«ntqMm!q4Ù q4cm bedfghji # @ & - bed,fghji # 3 D 6e8 Ñ|Õ Ñ 5 ' G ' !# D &'( l. Bidjk. !
(50) !# mfe. ` ` _ / ^>_ Ù q :d u«ÛZv4u ntpwv4y _ntr uâm$Ù q u ×` d~v Ù q4p@v4ptq1×vn@:mou2rvuâ n@q4 qMmCYq4qZÙcy{ntuân@qZq4mcq4Ù Ø7y×q4d~Ù yu2Yvu«u«q*d*uu ` dvu mo=@qM?mWA `Wr nwyqMxoyu2m1vC}op@s+d*v4yâ}|d z
(51) ntÛ|m1d y{d u«v4mZouânw7vd uâm1n@q4om$n p ×ntu ` v4m|zJy{x1}1yu«nÈu«x:uân@q4m
(52) eCv1ontm1rfv4m|zCuâd e u«qvr q4xom1Juâd e _ Q Õ ; Õ 2 2 Õ 1 . -W G& " H( %'g ! bed,fghji G& d g i % . %"
(53) id jk s^. mKXLg. WV. r X. %. r. #( ( ' ,W 5%e Fe % g r. . t. %. bedfi. x Z. # l %. 8. . e. BADCFE. . idjk. r . Q. (! % _ / V. ijk.
(54) . . . V. r. idjk. {e. r Xfe. z~n@m1:x1suân@q4mCq4mfu ` d ` d+ntr ` uÄqÙ7uâd eCyqMmf}Yq4u ` yân@:dSyq4Ù7u ` dn@mod+Zx1v4ptntuz Û|d+d o7d mY:n p ^>_ g Ù q :du2vn@p@y _ ` _a` v m yCuâq q47qMyântuâ` n@q4m MØÄ Ù q ` qÜ|ntmo# r u ` d yuJ s q4m1 :ntuân@q4mÏ# qÙu ` d$u ` d+q d e d uâd efn@m1vu«ntqMmOu d q d+e i>Øontun@yd moqMxor uâqC qÜ4du vu" *Ù q vp@p x1ptdSy qÙ ØYvm1JÙ q @ = ? A * _ vJ r q4xomY9y{u«v}1pt` dntm1y{u«v4m1sd =@?q4A Ù dSyu nws>u«ntmorOuâ q r q4x1m1.y{u«v}1ptd_ ntm1y{u«v4m1sdSyqÙ =@?A nwymoqu s ntuânws v4pcy{n@m1s du d·n@m1yu2vm1s d+yaq4Ù x1y{dS ntm v4s>u«n@s d·v dr qMxom1 yu2v}op@d O
(55) =6? @
(56) ( ) * f )
(57) )+
(58) ' 69
(59) ·
(60) #$ ) ( )1
(61) / s q4m1y{u vn@mZufv4o qMvMs ` qÙhq :d n@mor! qM}op@d eCy ` v4yCv4p d+vM:z }7d d+mÏ qMYqZy{dSn@m y{d+Ü4d vpa×q y g|Ø n Ø " .:Ø m Ø^$ _ / ptpv d~sqMm1sd m1d+$×ntu ` u ` dfyâvuânw7y Yv4}on@ptntuzO qM}optd+e qÙq :d n@morsqMm1y{u vn@mMu2y _ . . idjk. . . idjk. üDC q ü E.
(62) .
(63) "!#%$&'( *)+ # , - # ,. d u % v m1 d ¸ g (g iU}7du«d eCyaqÙHbdfgh i _ jntÜMd m v dSsd+` od m1s d m Gvm1Ovs q4 m` x1m1s>u«ntqMm q4ÙUq :d n@mor s` q4mY yu v4ntmZu«y % Ø)ÚUqMefq4m g$Äv4m1ntd+x|×Ud+m xon@y t rMvÅÜ4dvp@r4q ntu eCyÙ q od+snw:n@mornÈÙ)u d d` d(p:# ?GnwyA u2yav r qMxom1_ yâxo}1y{uântuâxouân@q4m yâx1s ` u ` vu % .` qMp@1yÙ q ¸ g (g d+moqu«d+yu d q :d ntm1ri jntÜMd m9vOsq4mxom1s>u«ntqMm.qÙq od ntmors q4m1y{u vn@mZu«y % Ø d p@v4n@y{uâdS:> t .$»` Øv4m1 Mq ` vmom Û|q:s ` d ` / e~} qMyân@x1y $·rMvÅÜMd97q4p@zZm1q4efn@v4pu«ntef d vp@r4q ntu ` ef` y` Ù q od+snw:n@mor
(64) nÈÙ` u d dd p:n@y{u«y·v
(65) r qMxom1_ 9yâxo}1y{uântuâxouân@q4m v4m1!v yân@e1ptnYs vuân@q4m q :d n@mor 'yâx1s u vu % qMp@oyÙ q ¸ g g mfu ` n@yÄ1v7d Ø× ` vuÄ×ds vp@p =@?A -& +" # , - # , v daÙ q exop@vMy}oxon@pÈuUq4 m % )v4m1 % × ` d d %'g be` d,fg` hj i _ ` ` vuh×ds v4ptp ' 3 * =@?A &'( &+"=@? #A " - #` , ` % d dSy{ _ % i _ nwyhu«q9:d+s n@od× du d u d dCd p:n@y{u«yv
(66) 1v uânwsxopwv ntm1y{u«v4m1sd q4Ù yâx1s u vu % d d+yâ %
(67) i>Ø1n@m$sqMm1yu xYs>uân@morCvCyâYdSsn Ys _ Û|qMptÜ|n@morfqÙ =3?GA s q4m1y{u vn@mZu«yn@yxom1:dSsnwov}op@d·n@m rMd mod v4pXØ }1x:uqMx r4qMv4pUnwyuâq }oxon@p@Ï_6v.5 q:sdS:x dJr4n@Ü|ntm1r1Ø × ` d+mntuf nwyYqZyâyânt}1ptdMØÄv mv4o q4 nwvuâdOq :d n@mor qMm vfyâd efan `»v4x:uâqMefvuânws×avÅz n y{u+ØoqMx y{qMptÜ|n@mor q:sdSyây q::x1s d+ysqMm1y{u vn@mMu2yq4<m d g 'iÄÙ q4e =@?A s q4m1y{u vn@mZu«y _ Û|d+s q4m1^Ø7×d·u zJu«qOyâq4p@Ü4d*s q4m1y{u vn@mZu«yqMm d g 'int& m 1m1:n@morJv4m9vo qM nwvu«d n@m1y{u«v4m1sdÙ q ¸vm1 _ =@?A ` xop@dOjs d q4u{efuân@montm1r!r9s:q4nmY ydSu s>uâv4p@z!ntmZu«Ù yh qMqMe m =3d ?GA g : d 1'm1ihnÈu«Ù ntqMqMm e q4m bdsfqMm1gh yu i v4_ ntmZ_au2y·` n@s y vm x1pt}7dMdJØs vMvs p@p@d+ntd+ Ü4dSu ` d }|z!&'v.+"-: d+!#o@x1s> u« ntqMm Ø:nwy}1vMy{dSJqMmJu ` d*yâv4efdhod+:x1suân@q4m
(68) efd+s ` v4monwy{e vMyu ` d xop@d+ya d+yâd mZu«d+Ontm g:Ø^ m B. . hr . <. . '. 2. . . . r . 2. . . 2. 2BA jkHr . <. . . . <. r . . . ). 2. l. r. r. r. L2qr. h. idjk. d' 2~r . . '. 1O. %. r. ". . . A jk. r. ). ijk. r. Q. 8. 8. 8. BAJCFE. BADCFE. 9BADCME. 8.
(69)
(70)
(71) d %. BADCFE. %52. .
(72)
(73)
(74) d % t ri ri. 2. r. d.
(75)
(76)
(77) $ %2 r . 8. d %@iH2BADCMEQ8 drii. × ` d d % ` Td % @g g% ihv4m1 = d g g i _ Ùa ×dCvo1ptz!v yâdu*q4Ùao d+:x1suân@q4m =@? xoA ptdSy Ø)sqMe` 7qMyâd+ }|zOu d~od+sqMefYqZy{` ntuân@q4m xo ptdvm1O u n@ÜZnwvp)sqMm1yu v4ntmZu yântefop@n7s vu«ntqMm x1ptdSy Ø:_u«q 5 ` q :d ` n@mor s q4m1y{u v n@mZu«y+Ø:×Ud~d m1
(78) ×ntu vfmoq eCv4p^Ù q e }1xontptuqMm.s_q4mY yu v4ntmZu« yaqMm v4m1 q u d*× qMptd yâdu*q4Ù xop@d+y*v4m1 vm (d pov4e1ptdfqÙ:dS:x1s>u«ntqMmcØy{d+` d& . Ù×df` u z$ uâq9ntefop@d efd mZu·u ` dJ:dSsq4ef7qM`yân ` u«ntqMm x1ptd~vMyntunwy Ø7×_ d*q4}:u2vn@m.vm$dp|1ptqZy{n@q4m
(79) qÙu dyân+d*qÙu d*Ù q exop@vJvm1$v4m$d(p:op@qMyântqMm q4Ùu d s q4ef_ao` x:u2v u«ntqMmJu«ntefd ` ` d d+vMy{qMmJnwyau vuu d*:d+s q4efYqZy{ntuân@q4m xop@dhoxoop@n@s+vuâdSysqMm1y{u vn@mMu2y _6 m u ` d·d(povefop@d·qÙ)u ` d =@?A sqMm1yu v4ntmZu Td = dWig = dWii = d(i>Ø1od+sqMefYqZy{ntuân@q4m ×Uq yav4yÙ qMptp@q×y h. . . . 9r". rd dr $. )8. 1. 9BADCFE. z2. Td = d Wig = dWiiH2 = d (i = diH2 = d (i = dWiH2 = d (i = dWi = d (i = dWi = d (i d Td = di(g = dWiiB2 8 dTd = di(g = dWii iz2BADCFEQ8 d = d(iii . (Ù _9×d_an@` efoptd+efd mZuUu `` dod+sqMefY qZy{ntuân@q4m xop@dv4yU= ntuUnwy ØZu ` = dsqM_jm1y{^ u vn@mMu = di = d(i×n@p@p7}7dyâq4p@Ü4dS u×nwsd nwy~nwyvpwy{q$u «dO s+v4yâdCÙ q sqMm1y{ u vn@mMu2y dWi d(= i x:uf:xo= op@n@s+v= u«ntqMm n@y_ 5moq4uxomonwZxod p@z oxoduâqf:xoop@n@s+vu«dq:s+sx d+m1sdSyÄq4Ù)` yâxo=@}:?u«A d efyn@mJ u«d eCykd p@n d dWiUntm = Td dWi(g dWiii q d(povefop@d4Ø vOsqMe1ptd uâdod+sqMefYqZy{ntuân@q4m.q4Ùu d sqMm1yu v4ntmZu Td TdWii Td d(ii q::x1s d+yJ:xo1ptnws vuân@q4m1y q4Ùu ` d$sq4mYyu v4ntmZu Td= Wi = d(i>Ø n :x1optnws vuân@q4m1yfq4Ù m = d(iØ n :xo1ptnws vuân@q4m1yfq4_ Ù TdWi ÅØ m oxoop@n@s+vuân@q4mYyaq!Ù " di>ØY:xo"op@(nw s v ,u« ntqM m1yaq#Ù $v4m1 :xoop@n@s+v u«ntqM` m1ya_ qÙ % Û|qfptn@efnÈu2vu«ntmor oxoo/ p@n@s+v uâdS
(80) sq4efoxou«vu«ntqMm1yanwy uâqC:dSy{n@r4m
(81) vm 'd &sn@d mZuv4ptrMq nÈu e yu yâq4p@x:u«ntqMm*×UqMxopwh}YdÄuâqvÅÜMq4nw dSsqMe1x:u«vuân@q4m·qÙod+Ü4d zq :d ntm1rsqMm1yu v4ntmZucx1yân@morv ` v4y ` u2v}op@dfqÙavp dSv4:z.yâq4p@Ü4dS s q4m1y{u vn@mZu«y __a` nwy·yâq4p@x:uân@q4m vÅÜ4qMn@oy d 7d+vu«ntm1rOu ` dyâq4p@ÜZn@mor qÙaq :d n@mor . H2. . . . 2. . 2. . q2. 5. 2. qHq. ùsrtuv(w. 2.
(82) . # @ (
(83) (
(84) &( " a G '"& . s q4m m1y{u vn@mZu«y}1x:uhoqZdSym1qu d+Ü4d mZ` uu ` d n : xoop@n@s+vu«ntqMm _ m9q4 x p@vMyud(` povefop@d4Ø7×Ud×UqMxopw.yu«ntp@p)r4` du ` v4y :` xou2ovp@}on@s+p@vdhu«uântqMqfm1r4yd quaÙu ` d*yâq4p@Ø1x:y{uâqMn@q4ptÜMm dqu Ùqd~u s ` q4d m1 y{q:u s+vsxn@mZ«u d+q4m1m1ss dSdhy _ v4m1 d Ù d u«qfu dy{qMptx:u«ntqMm Suân@efd+yn@m
(85) u d / y{dSsq4mYyâq4p@x:u«ntqMmcØ+×d d+yâd mZucmoq×·ØSnwy(vaefdu ` q:hÙ q y ` v n@morsqMm1y{u vn@mMu2y^vm1u ` d n yâq4p@x:u«ntqMm1y _ dCs ` qMyâd*u«qOxYy{` dfv n dS s>uâdS / sz:sp@nwsj v ` d+ d+yâd mZ u«vuân@q4m
(86) Ù q h d × nÈu«d xo_6p@ d+y d ` yâd d( t+$ Ù q v4m v4oop@n@s+vu«ntqMmq4Ù6y v d+~uâd e d+ d+yâd mZu«vuân@q4m~q4Ù d × ntuâd x1ptdSy)uâq*sqMefoptd uân@q4mi mu nwy d+ d+yâd mZu«v-` u« ntqMmcØZuâd _ eC_ayÄ`v d r / v ` y× ` d dm1q|od+yv dp@v4}Yd+pt`dS }|zfy{z|e~}7q4pwyvm1CdS:r4dSy d d+yâd mZuu ` dhy{xo}ouâ d e _ d m pwvu«u nt` qMnwm y / j d d j d+yâd d mZ u«vdSuân@y{q4d+m mMu2qvÙu«ntqMuâd m eCv4pty p@qØ××y~dOy vMov :ntn@uâmon@r.q4m1q4v4Ùptp@sz q4ef: d efYmoq4mGdOdSy{:xor4}odSuâyd eCd y~ q4dSÙy{d+:mMnwu«yntu«m1ntm1r.squ u«:d d eCn@moy r s Uq4m1y{u vn@mZu«yp@ v4}Y`d+ptdS 9}|z. p@q4rMn@s+vp Ù q e~xopwv4y+Ø^×d s+vp@ptdS ` ` d d !G ' - ,- _ q|qÙqM}optn@rMvuân@q4m1y d `» q|qÙ yÙ q y q u iUv d·:d 1modS vMyÙ q4p@ptq×l y d dSs vp@p6u vu od moq4uâd g g i) Ñ S 1 2 3 2 Õ 1 B H " a( +" ' a"& D ( U !G3 @ - a( D h2. O. "8. U. g. ]l3 '
(87) U G ! 4 x %'gr. . %. . %. 8. ?l. bdfgh iKx. %. %. D -. Ql. d %@iH2BADCFEG8 dri %
(88) % x eg % x eg . - G& x. 8. %. %. he. U. . `8. e"g. d %@is+IADCFEQ8 d;ri %. x. x. m. dri - G& B / )+- , #
(89) l 3O ! d. S . x. g ; R : S ADCFE i e gH( gd g o ( G & G. . " & u x x q - G& d q - i x q - G& d q - G& Ki x - `8 d %@iH2 ADCME 8 dri - G& R : S d %@iz ADCFE R : S drix . . R . . x. o. U. R :S. Ie ( U G! 3 k
(90) & + ,]l nm & o+
(91) & mfu. d·moq× : d 1m1d ( - , O q4Ù U `W q|qÙ y _ Ñ S 1 2 3 2 Õ 1 4 H " D >! - d g. O. 8. d %@is+. ADCME. 8. R :S. d %@i. . d i. R : S r. ADCFE. %. - G& %'gdr %. e [m bed,fghji . e. duxYymoq×:d 1mod~u ` d j d+ dSy{d+ mZu«v` u«ntqMm
(92) qÙ ` d+ × _ ntuâd xop@d+y _ ds v4ptp(u ` qZy{d~r v ` y ÚaÛOr v yUÙ q y q ui Ñ S 1 2 3 2 Õ 1 L j$l) - ! >- ! d+gei #( D V( s @ , +"( BO. $O& . Z l V G3& ( X " & m m "'o f Ql h*x - G&
(93)
(94) #( &'( " & m! x " x 2 (-#G ( x "VZs x G (# m - G& W]l@ a +""&l(! + ,]l nmfe #$ x " x(2 "&'( - & + &we # 25x "& 'o a a"&&m - U !
(95) e # ( &'( - o a "a"& mc G - ,W ' < +" ' &c D k # ( ( "&e$%H H
(96) &''& % x a a"& m % f Z m '(x (-e ' < sd'(x D d' )( %
(97) & W (#l" ( "&' d & g ( i % l -+ * < e. vm. . üDC q ü E.
(98) .
(99) "!#%$&'( *)+ # , - # ,. _a` d*y{xo}ouâd e v4m1Ou ` d d × ntuâd·d+or4d+yan@m ÚaÛJr v ` y d dSy{d+mMuau ` d*:n dSs>uyâxo}:uâd e d pwvuân@q4m n@m uU ` duâ d e v4 m1C u ` d d+× ` ntuâd d+p@v uân@q4m}7du×d d+mJu«d eCyUn@m xop@d+y d+yâYdSs>u«ntÜMd p@z __a` dh=@?d+A :rMd+yp@v4}Y d+ptdS}|z `» q|q4Ù y d+ d+yâd mZuu dsq4mYyu v4ntmZu«yq4m d g i>Ø7×Ud·×avmZuu«qq4}:u2vn@m
(100) Ù qMe sqMm1y{u vn@mMu2yn@m u ` d y{uyu«d
(101) qÙ` qMx yâq4p@ÜZn@morC q:sdS` yây _ ` B du& x1y:d ` Ymod·u ` d·Ù xom1suân@q4m ` ( eC voo`On@mo rv4 mZzOmoq::d & _ q4Ù vm ÚaÛCr v4 u«qCv*u«d e >Øoy{xYs u vu n@yUu duâq4 moq::dhqÙ(u d ÚaÛr v d+ dSy{d+mZuân@mor Ñ S 1 2 3 2 Õ 1 I H d+gei "c $l) !
(102) & & >"W + b "- 8. 2BADCFE. 0r. U. g. Qr. & . " & m. e. %. hx D b <d & is . & a a"& m % f (-l b d ii Z T e. Z <. sM'(x . < e. Õ. Ñ. S 1 2 32 1 X`gH # g % e b dfghji $l) d+gei + D - u U. e. & g & . %. e e&. 6. e. & |Z . %. e. . . . '(x. #( b d & i TdZb d (i(gg > e ( ( " &'kV - +* % . $l) !G # P D Zs aA#B. %. x. Lx
(103) & d & g i. l b d & i. #( d ' Z P G3& ( & g ( #
(104) & b <d ( i b d & s i V. . - m . . . e. %. . bedfghji k G&- +( ]l mc& o+ G"& mfu. e. 6. . b <d & iKx - G&. - G& W # # Zs "&' d & g ( i %. . +. # . mhu ` d d Ü|n@q4x1y(: d 1m1nÈu«ntqMmcØÅmoqu«du ` vuU _ d m1yâx d+ycy ` v n@morqÙ:y{x1}:uâd eCycn@mhu ` d ÚaÛ d+ d+yâd mZu«vuân@q4m 4q Ù)v d × ` nÈu«d xop@d _ ` ( d d+yâ _ & ( i mfu dÙ q4p@p@q×ntmorYØÙ q vm|z ÚaÛr v d g ei×ntu ` & g ( Ø & × n@p@p(:_ d m1& quâd
(105) vm
(106) ntm1( d+Zx1vp@ntu` zJ d+or4d d d+yâ _ dSZxontÜv4ptd+m1sd·dS: r4d@ik_ d & g ( i _ d·×ntp@p(mo& q4uâ( d &
(107) _( d dSy{ i*nÈÙu d dJnwy*m1q9n@mod+Zx1v4ptntuz d+:rMd d d+yâ dSZxontÜv4ptd+m1sddS:r4d@i d g i Ù ` d m & ( d d+yâ _ & ( i×n@ptpv4p@yâqJ}7d:d m1quâdS.}|z b <d & i :%fvmY b <d ( i > ^ Ø u % d dSy{ _ % i _ m1d+Zx1vp@ntuz v4m1$d+Zxon@Üvp@d m1s d*d+or4d+y×ntp@p(}7ds+vp@ptdS & %"&_ m u ` dÙ qMptp@q ×n@mo r 1rMx dSy ØZopwvn@mJv « q` ×y×ntp@p6:d moq4uâdhy{x1}:uâd e'd+or4d+y+ØZop@v4ntmOv « q×ypwv}7d p@d+}Zz _) ×n@pt p od moq4uâd d × ntuân@mor~dS:r4dSyUv4m1ovMy dSp@ntm1d+yU×ntp@p^:d moq4uâdntm1d+Zx1vp@ntuzfv4m1dSZxontÜv4ptd+m1sdd+:rMd+y v4m pwv }7d pw yv d·qMefnÈuâuâd+. }ox:us+vm$}7d :` dS:_ x1s d+ Ù q4e u ` Ad 1r4x d+yy{n@m1sdy{x1}:uâd ed+:rMd+y×ntp@p v4pt×avÅz:y}Yd q od d+}|z vm Ù qMe p@dÙýuu«q n@r u \ M ; 3 Ñ . $l) !
(108) # c #% s % a Td = di(g i = d Td g ii s D . %. . 2. %. HO. 2. %. . 2. I. r. r. 2. r. . Z. . Z.
(109) (# mc&'a " a"&(m %U !
(110) a " !
(111) # "& - "! e e c $l) "! e #ZT #Z D +" # , - # = dWi52 = d(iKx &3! +" "&% < # !Gl3 d - !a &'+"- !#@ Td = dWig = dWiiz2 = d(i +" e !G(( "& m W # #"&Aa "a"& m U
(112) ! a e. . qHq. ùsrtuv(w. . !. . . e. . . . . . O !. . e.
(113) S. # @ (
(114) (
(115) &( " a G '"& . m aÚ Û_ r v `` vp@ptq×yfy ` v n@mor9q4Ùuâd eCyCv4m1Gy ` v n@mor9q4Ùs q4m1y{u vn@mZu«y+Ø}ox:uCntuef` vÅz oxoop@n@s+vuâd » q|q4Ù y m u d·Ù q4p@p@q×ntmorYØ:×Ud·rMntÜMd·vm
(116) d(povefop@d·qÙ:xo1ptnws vuân@q4m$v4ya×d p@p(v4yvfed u q:OuâqvÅÜMq4nw ntu \ M ; 3 Ñ 5 H( Td = dWii
(117) & Tdi e #( - G& +- # , k&' # - G& /. U ` _. g. . x Z. . e. 1m. ;o. &';o # =@?A x Z # l id jk 8 diI2 ADCME 8 d(i e % +" < !G(( W mj$l) "! e e< *@ c #" ( !
(118) !#( m x G- D - = dWi"id jk W8 dWi"2BADCMEh8 d(ix " +" *id jk V! = dWiGid jk e a ) m x = dWi id jk ! Td = dWiiGid jk e = diid jk & 3 G "! !# -. D( $l) "! e e* ( +( D - Ti jk "! e e #( x Z IZ # T !
(119) l> D s D l , + D @i jk G& = dWizid jk x Z Q Zs !
(120) l. # O #(e , + c D `8 dWiH2BADCMEQ8 d(i e ( j&'(e !
(121) # V! + - ,- " Z " U !
(122) 3 D $l) 0 ! x Z +" o+
(123) D %$l) !G(( - ,- m " c&'( +"- , # "&A m &- , +(H l@ - a( V # " & s(- a X - G&V( + -D\( (- @V * e ,W "! !G " + hl@ - al (- f e WO ! e +" "> , - . (- "& # e ! e b x Z #( D ,W * e&'; o G"& - D e "W & e. ·n@efop@ntdSy. u×n@s d. .
(124) . "!. . ! "$# &% ')( * #
(125) "!. e. . e. . 1$2 0 -/. +, . . dux1yod 1modhu ` d*y{u x1s>u«x dhx1yâd+ n@m
(126) j v ` g _ efq dÙ q efv4ptp@z _ Ñ S 1 2 3 2 Õ 1ML ,W - "! ! + - ,- "
(127) . B U. . ' G&'"& # . ! . . 3!45687:9;=<>?A@CBD7:9EF< 3 GH56I3!4 3KJ56I3 G. ON he. ! x. Z. . e b. + +" "W # # m. x {y u x1suâx dÄÙ q yâq4p@Ü|ntm1r =@?A q od ntmorsqMm1yu v4ntmZu2y(nwysq4ef7qMyâd+~qÙ7v4m ÚaÛ*r v `* d dSy{d+mMu«ntm1r v ` d × Èn u«d xoU ptdhv mYOv `»yâ xo}1y{uântuâxouâU n@q4m _Ä :d ntm1r~d+o_r4d+_ayU` qÙ u ` d ÚaÛr v ` ` v dp@v4}Yd+ptdSJd+nÈu ` d }|z u d*u n@Ü|n@v4p `W q|qÙ q }|z v4m `» qZq4ÙÜv n@v4` }optd ` dv4oop@n@s+vuâU n@q4m$ q4Ùu dy{x1` }1yu«nÈu««x: uân@q4m.uâqJv4m n@modSMxYvp@nÈuz%d d+yâ)d+Zxon@Üvp@d m1s d3i_ dS:r4dp@v4}Yd+p6qÙ^u dr v4 r4n@Ü4dSyUv4m `» q|qÙcqÙ^u dhsq d+yâYqMm1:n@mor n@modSMxYvp@nÈuz d dSy{ )dSZxontÜv4ptd+m1s@d i Ñ S 1 2 3 2 Õ 1 [ ÛZu x1s>u«x dÄÙ q U :d n@mor·ÚUq4m1y{u vn@mZuÛ|qMptÜ|n@mor H$l) (# kV l a # U. e l! - d i. \ M. ; 3 Ñ. . DX. V. Z. - $l) ! % !
(128) # # a x
(129) &Q e . _ e e >!#@" a:$>) (- D e aQP dTd ii B e. R. + . TVUW S . . = d i. ". {. ( , W . u. 3X5687:9ZY[9\]<$<!> ?A@CB 7:9 ½ 9\]<$< 3_^5683. . üDC q ü E. e.
(130) M.
(131) "!#%$&'( *)+ # , - # ,. #% G # ' m "&3" Z " G3& ( a "a"& m - G& = " # D - QZ ( l ! aU !G3 ( Td iB2 = d i e $ j #e $ # G& & k #H$l) x Z o G& D ea "&$ (" W ,- c !'!G D Ql a # a - "& U !
(132) e e "! !G [N " - l # O #>U !G3 o - U !G3 +(-"&QP dTd ii 2 = d i e. ( W H$l) . o 3 Ñ o+ Õ 1 Ñ. x.
(133) Y#$#.1 d*moq×:d 1mod·u ` dod+:x1suân@q4m xop@d+y+Ø1×d*x1yâd*q4m9Û ÚaÛOuâqn@m:Ù d sqMm1yu v4ntmZu2yq4m d g iÙ q4e =@?A s q4m1y{u vn@mZu«y _ moptn du ` d~u«q4W`§:q×m. q:sdSyâyy ` q×m9×nÈu ` u ` d:dSsqMe7qMyântuân@q4m xop@d4Ø7u ` defd(` s ` vmonwy{e
(134) ØZ×Ud q47qMyâdmoq×·Ø|n@yU}7qu{u«q4e `»xoJvmYnwyUs ptqZy{d uâq~u ` d =@?A :d1montuân@q4mJntu«yâd ptÙ _2B d ux1y yu n@mZu q::x1sd 3 ( Ø7× ` n@s ` d p| dSyâyâd+yavmoqu«ntqMmOq4ÙyâxoW} `WÙ q e~x1p@vntm U `W q|qÙ y _ Ñ S 1 2 3 2 Õ 1 . H( g "lU !
(135) 3 Ü|nwy{n@}op@d & G "& :9. O. 8. l. U. V .
(136) . X. BADCFE. m. - . . g. %. q. .
(137) & d .
(138) . e. . - . i ce. Gx. 5 q yâq4p@Ü|ntmor =@?A sqMm1yu v4ntmZu2yqMm v$y{d u*qÙ xop@d+y+Ø(×dCyu2v u·Ù qMe v
(139) yâdu*qÙ # 'H$l) ØcqMmodÙ q d Sv4s ` xop@d _ montuânwvpÄ Û ÚaÛ:y·v _ df_aÛ ` Úa=3Û:?GyhA × ` qZy{d ÚaÛ9r v ` y ` vÅÜMd moq q :d n@mo` r d+:rMdv4m19× ` qMyâd `§yâxo}1y{uântuâx:u«ntqMm1yfv dOd+eouz d sqMm1y{u vn@mMuCyâq4p@ÜZn@mor!q4m Û ÚaÛn@yCvMs ntd+Ü4dS }|z v y{d ufq4Ù od+:x1suân@q4m xop@d+y __a` d+yâd ` xop@d+yÄâ u vm1y{Ù q e v Û ÚaÛf}|zv41:ntm1r*` q :d n@mor*d+or4d+yÄuâq~u ` d ÚaÛfr v4 ` ` v4m1«! }|z sqMm1y{u x1U s>u«ntmo r
(140) u d_ sq d+yâ7q4m1:n@mo r `§y{xo}Yyu«nÈu«x:uân@q4mcØ × qMyâdv 1optnws ` vuân@ q4m ×n@ptp« qÜ|nw:dfu d s q dSy{7q4mY:ntm1r `W q|qÙ y Û|qMptÜ|n@morOnwy q|s d+y«y{dS.n@m1:d+Yd+m1:d mZu«ptz$Ù q d+v4s Û ÚaÛ sq d+yâYqMm1:n@mor u«K qfd+` v4s `O d+× ntuâd xoptdMØovm1 Jd m11ya× ` d m ` moqC:d+ox1s>u«ntqMm xop@dhv4oop@ntdSya vm|zCptqMmor4d _2B duKx1ya:d m1quâdh}|z u dy{d uÄqÙc:dS:x1suân@q4m xoptdSy ØM}|z ~u d:d+ox1s>u«ntqMm d+p@vuân@q4mfq4mJÛ ÚaÛn@m1:xYsd+f}|z ØMvmYf}Zz u ` d*Ksu _2 v4/ m1yânÈu« ntÜMdsp@qMyâx d*qÙ _ B dK uhx1y s v4ptp K `» :dS:x1s` uân@q4m$ q:sd+y«yu ` d: d+:xYs>uân@q4m q|s d+y«y_ :d 1modS` }|z K Û ÚaÛJn@yy«v nwu«qf}Ydhn@m `»moq eC` vpY Ù q e × d+mOmoqC:dS:x1suân@q4m xo` p@d· vo1ptn@d+yUuâ qfntu Û|_ d+dhu d yâduq4Ù `§:d+:xYs>uân@q4m xoptdSyantm 1rMx dMØ:× d d·vm d+:rMd
(141) :d+moqu«d+yd+nÈu d q B du d ig3d -i }7d!Û ÚaÛ _ / :d+ox1s>u«ntqMm x1pt. d !$ "" #% q4Ù K + ( vÛ ÚaÛ d int&Ù nwyCv 1vuâuâd mÏqÙ ØnÈ'Ù Gefvu«s ` dSy Øv4m1 ntÙu ` d
(142) d+sqMm1:ntuân@q4mGqÙ !$ "" #% n@yÜMd n 1dS _G_a` d mcØUu ` d "! ! +" q4Ù(u ` d xop@d·sqMm1y{nwy{u«yntm d opwv4s ntmoru ` d·1vuâuâd m( qÙ }|zCu ` d·Yvu{u«d m( d × ` n@s ` s v4m }7df n@od mZuânws v4p ivm1 }|z d+opwv4sn@mo)r .}|*z n@m T_U vMs ` uân@efdC vOm1d ׸_ q :d n@mo` rOd+:rMdnwyhs& q4mYyu x1s( uâdS n@m Ø6nÈun@yy{x1oYqZy{dS uâqO}Yd*pwv}7d p@d+.}Zz
(143) vCmod+× `» q|qÙÜv n@v4}optd qu«d·u vum1q|od+y vmY q4Ù u ` d K `»:dS:x1suân@q4m xop@d+yh ex1y{u·v4pt×avÅz:yeCvu«s ` :n@y{uâ_ n@ m1_ s_ u*=3mo?Gq:A :d+yhq4Ù _C_a` nwyh d+Ü4d+mMu2yÙ qMe v4oontmor s z:sp@n@sÄntmodSZx1vp@nÈuz·q od ntmord+:rMd+Oy d vp@×avÅz|ycÙ vpwy{d× u i(v4m1~s z|s ptnwsdSZxontÜv4ptd+m1sdd+:rMd+Oy d v4pt×avÅz:y x1momod+s d+y«yâv zfÙ q ` :d+ox1s>u«ntqMm1y i _ quâdv4p@yâqu vumoq·yâYdSsnwvpoy{u vu«d r4zhnwy dSZxon d+~× ` d m xoptdSyv dv4oop@ntdS (d+nÈu ` d Ù q u ` ds ` qMn@s d q4Ù u ` d1vn q4Ùmoq::d+_y+Ø6_aq ` Ù q u ` dfs` ` q4U nwsd*q4 Ùu ` d x1ptd~uâ qOv4oop@z _ / yv dSy{ x1pÈuSØYu ` d~ q:sdSyâys v4«m. }Yd Yv vp@ptd+pt n dSvMyntuU nwy v4m yu«q·u d `» q|qÙcyu xYs>uâx dMØZv4oop@n@s+«vuân@q4mCq4Ù xop@d+yU s v4mC}Ydsq4mYsx d+` mZu qMmv Û ÚaÛ q:s d+y«y{dS`y~s v4mv1optz od+:x1suân@q4m xo p@d+ysqMm1sx d mZuâp@z qMm1 v4n y*q4Ù_ mo_ q::& dSy~( q4Ùu d y«v( ef& dfÛ ÚaÛ6 Ø6 qÜZnw:dS
(144) u vum1qO q:sdSyâ_ yâd+ysq4mYy{nw:d nw:d mZuânws v4pq y{z|efefdu nws vp d n d d g ivmY d g ii1v4n yaqÙmoq::d+yyân@e~xoptu«v4mod qMx1y{p@z m.s+v4yâd·qÙvyâd+Zxod mZu«n@v4pcntefop@d efd+mMu2vu«ntqMmcØYv4pÈu ` q4xor ` moqJy{u vuâd+r4znwym1d d+od+^Ø7v4ov4:uâdS$yu vuâ(d ` rMntdSy·p@d+v4!u«q9v
(145) Ù vMyu«d v4ptrMq nÈu ` e _(5 q d povefop@d4Øntm qMx n@efop@d efd mZu«vuân@q4m q4Ù K `§:d+ox1s>u«ntqMm xop@d+y 2. . . . ('. qHq. ùsrtuv(w.
(146) Åg. # @ (
(147) (
(148) &( " a G '"& . Xy{d+d / 2 oYd+Q m1 :Õ nap Ñ / Åi Ø^Ò ×UdA y{uy«v] u«x \ vuâ d~2 u ` dr 2vEF 2 `3 ×nÈu ` u n@ÜZnwvp U `W q|qÙ ` yu ~` v4m yu«q xop@d+y C ]*]*ÓÓ ; 6 v m1 C 6 }Yd Ù q dJv1optz|n@mor9q4u d xop@d+y d d(posd+:u C 6 \ 2 C 2 ; 32S)M: 2 Õ 1 u ` vuC}YdSsqMedSyfx1yâd p@d+y«yCy{n@m1sd u ` d ÚaÛ r v4 ` nwyCvp dSv4:z y«vu«x vuâdS ×ntu ` B u n@Ü|n@v4p U `» qZq4Ù y `1i _ ` dux1ym1q× r4n@Ü4du d+dhu d+q d eCyyâq4xomY:mod+y«y+Øosq4efop@du«d modSyâyv4m1 sq4efop@d(p:ntuzqÙ Ks_ Ñ S 1 2 3 2 Õ 1 .. @ j :$l) d i 6% g bed,fghji - j"& % ! % sq â d+su =@?A (- - A @ % ! d g i + j # 3 = G ? A : l $. ) « . . T & . . % " & ' ( . " + ( +. %
(149) d i s q dSs>u =@?A d 6 \. U. ]l. Z. . 6e8. Kx. e e Fe. m. r Xfe5. idjk e. Ñ|Õ Ñ Ñ|Õ Ñ . . dr % ; R : S . . . Z. BV
(150) -W G&- G( X. e e. x. 2. . ADCME. . . . Ñ|Õ Ñ. . . d;. R : S . g. d;. R : S K. g. ADCME. %He ' # ':$l) . ADCFE. i e Fe % id jk i e e I %
(151) id jk. rKx rKx. [l. @. r X. r. idjk. e. x. . . . #( ,e j"& % D d ' <"& %. V. {e. zZ. e e Fe. #( +"- +( |Z e e e @= ?A . ) V! a (
(152) " Xhg d i " H$l) %K G ' (- x 6e8 4 V+ %He
(153) &' & g ( % L e F. e &. G. & ( x b <d s i % b <d i trKx Z % gdr . {e. V. r. Z. Gx. 2. . . . r. r. Z %. e. d g ei bed,fghji u. e e e F e . e. se. L V )+V! a ' mKX gH B# "c %Zs a x>d i D # 'H$l) P #B x D e #W "(k G3& (! x G&7 #
(154) \3 ' 'H - m +"W + ,- %m!"oe k D eP # +"- !ad' m%
(155) &! +" #lK & "& + !
(156) +"(" e" d i !#'nm G ': - G&R * #?Z -" <+" @e 6e8. . q : d u«v4ntp@d+O qZq4Ù yaqÙ)u ` d+q d eCy+Øoy{d+d / o7d m1:nwsdSy ^>_ 1Ø ^>_ m Ø ^ _onW_ / yadp|1p@v4ntmodS
(157) v}7qÜ4d4Ø|dSv4s ` xop@dhqÙv d+× ntuâdhy{z:y{uâd+e nwyu d+vu«d+OntmY:d 7d m1od mZuâp@z _ 5 q s q4m1y{u vn@mZu yâq4p@Ü|ntm1rqMmOu ` d·× ` qMptd·yâduqÙ x1ptdSy Ø:×d ` vÅÜ4duâqfrZvu ` d u ` d dSy{xoptu«y d pwvu«ntÜMdu«q x1ptdSy _ Ñ S 1 2 3 2 Õ 1 .W5 H( " s @" d # g i (:$l) d i !
(158) # # # e K G- ( H( " D kU !G3 a ": #"& # ( # r4p@q4}1v4p U `» q|qÙ D kU !G3 µ 5. U. g. B. Z. . . . . 2. . . m. <. m. . . . . . <. . eg. sM'. e. . . Z. sM' . I. u. . x. . e. qu«d~u ` vu·ntÙÄu ` d dnwyhv xop@d # y{xYs ` u ` vuu ` d dfnwymoq
(159) d+:rMd # n@m Ø^u ` d m u ` d d nwU yhmoq YqZyâyân@}optd u«d en@m1vuân@q4m9` q|qÙ ×nÈu ` =@?A Ù q ` u `` dC× ` q4p@d _ Û _! d1montuân@q4m SgOy ` q× yu ` vu _ `» Û _Zq|_aq4Ù ` yan@yq,6Ù d+d vu«vfx modnwss d~v4mCe}Yd du Ü4q:d zÙ q x1y{d :Ù d+xov4pYptÙn@qmo rCs ×q4ntefu op@u du«ntd*qMmC q4 }oq:p@d s ed+:x q Ùd+nty mY_ s d qefu«dd mZvu«pwv4yâq·ptp@zOu ` vMvou+:ØZn@ntmomOr v~Ûxo ptdSyÚan@Û6m Ø × d*rM d mod vuâdhntm1d+Zx1vp@ntuzO dS:` r4dSyvm1
(160) dS` ZxontÜv4ptd+m1sd*_9dS:_ar4` dSyÙ q u ` d~ u×UqC7qMy«yânt}op@d*q` n@d _mZu« vuân@q4m1yaq4Ùu ` d d × ntuâd xoptdSy d ptd Ùýu~uâq n@r u~v4m1 n@r u*u«q.p@dÙý"u i d 1m1vpUq ntd+mZu«vu«ntqMm qÙau d Û!nwy:d1modS ×_` ntp@d~sqMm1y{` u x1s>u«ntmorJnÈu2yr4 p@q4}Yvp U `W q|qÙ _/ yv d+yâxoptu+U ØY×Ud~ s+vm
(161) u z
(162) ` :n ,7d d+mMuq nt` d+mMu2vu«ntqMm1ya Ù q u ` d Û9}|z!s q|qMyântmor$:n ,6d d mZu~n@mod+Zx1v4ptntuz9dS:r4dSy·vm1 `W q|qÙ y·n@m!u d Û ÚaÛ × ntp@dJs q4m1y{u x1s>u«ntm1r u ` d·r4p@q4}Yvp U `» q|qÙ _ . . . . 2. . . . üDC q ü E.
(163) S.
(164) "!#%$&'( *)+ # , - # ,.
(165) !
(166) " $#&%' '()('() *#,+.-/ 0 213 4 % )('()(' $465- 87 0 :9<;3=>'=<=<)?@BADCE-/F 0 9<;=>'=<=<)?EBAHGH-@F $IJLK$9 MAENO&C@9<;3P $IJLK$9 MAENOQGH9<;3R SUT)VRW X.,ZYU-ES[ \F *]/ SUT)VRW 0 Q_^-DS[ `Fa 2]/ ba $bc` $b % '('()($bQ5-edfhg b % c )()('(' $b c+ -dfhg i -@jkg l 9>;3kjnm
(167) ;2o6J;p$9 $oq$9<Nr ªtvuwDxkyzU{H|z3«'6Q)X ¢ ¡ l.£¤ b¥¦ i p ¢ ¡ . . l.£@¤ bZ¥¦. srtvuwDxkyzU{H|~}LL l }nJv " l . ) *. ¨. . }LJv b c Z 7 [g b: 7 [g bc&¬ 7 i. iD bnc©¨. ® t uwDxkyzU{H|y°¯X±² l }nLQ& 1 ³ l ¡ ³ . p . . ´BtvuwDxkyzU{H|µu`¶·,²X°¸¹r±J)Xv ¢ ¡ l.£¤ b¥¦ i ¨ }LJv b: 7 ³ l.£@¤ bZ¥¦º[¨ ¡. »Bty¼EzUy½ ¾ È)É ÅpÆ Ç Ä ¿6ÀÁ Ã'Ãà ¿Â ¢ ¡ ¾ È)É ÅMÆ Ç Ä ¿6ÀÊ ÃÃà ¿Â. ³ ÒBty¼EzUya½ z «)6L°v ¢ lH£@¤ bË¥¦ i ¨ ¾ ¡ ÈÉ ÅÆ Ç Ä ¿ À ÃÃ'à ¿  lH£E¤ b¥¦ iD ¢ ¡ ¾ ('('(ÍDbQ5Í ÈÉ Î
(168) YL Ï Ð*Ñ ÅÆ Ç Ä ¿ À ÃÃà ¿ Â. qHq. tuwDxkyzU{H|hX' l }nLQ& b c 7 L p 1 ¢ ¡ l.£@¤ b¥¦§bnc©¨. ùsrtuv(w. }LJv b: 7 kg \b%QÍ()('($b 5 Í Î \Y Ï ÐpÑ Î X^22n7¬ i `b % Í Î ©^222¨. l. }nJQ& 0 b ¦Ì ¥ `b%Í lH£E¤ Ë ()()(LÍDbQ5Í Î
(169) Y Ï<ÐpÑ Î ©^222¨. ÓBty¼EzUy½8Ô ¾ ÚÛ ÝqÞ ß ÈLØ árâ ã Ü à Ç Ù ÕQÀÖ ¿6ÀÁ ÃÃ'à Õ× ÃÃ'à ¿Â ¢ å ¾ ÚrÛ Ý6Þ ß ÈØ árâ ã Ü à Ç Ù ÕQÀä ¿6ÀÊ ÃÃà Õ× ÃÃà ¿Â. 3°çvèêéJìë IJnímM?qL?qoJî29>N!K2oJ=<';. l. }nJQ& Ô 0 b ¥¦æ `b%Í lH£E¤ Z ('('(ÍDb 5 Í!b% c Í ('('(ÍDb c+ Í Î
(170) YL Ô Ï<ÐpÑ Î ©^22.
(171) m. # @ (
(172) (
(173) &( " a G '"& . ` ` ` ` u«d e q uâd d!× v ntpwuây{n@q moru yâvz|u
(174) y{uâvd+m e
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques