Ensuring the Drawability of Extended Euler Diagrams for up to 8 Sets
28
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Ensuring the Drawability of Extended Euler Diagrams for up to 8 Sets Anne Verroust — Marie-Luce Viaud. N° 4973 octobre 2003. ISSN 0249-6399. ISRN INRIA/RR--4973--FR+ENG. THÈME 3. apport de recherche.
(3)
(4)
(5) "!$#%%&' ()()* +,- $
(6) /. #0!,213 !5476'8 9::;=<$;?>@>BADCEGFGH IKJML >@NO;QP R(CST;=<NULVC WH H X+Y[ZG\']$^/_7`ba?cd]BegfTh cgikjTa2Y[jT\l\']GmO\nfohpYqika[]Tr is\nfQtT]BuBrwv[joa[a[xB]BuBr[h jTa[aqfQiyugudfoaqh ]@u zKedjo{|] c`b\'xBv[isf }fQ~q~ jTecv]eg]BhpY[]BeghpYq]aV Tw 0^_7jh cdjoqed]$QTo^_0'~qfoto]Bu 2 BG0[oo X+Y[iyu'~qfo~ ]Be'udY[j0uwfhGjoaqucdegqh cdiso]\l]GcdY[jvcdY[] ]Gwiyucd]Ga h ] jQfviyfQtTegfo\'\'fQcdiyh eg]G~qed]@u]BaTcpf0cgikjTahBfQsk]@v ] wcd]Baqv]Bv [k]BeviyfQtTegfo\nu8 joefoawh jTks]Bh cdisjoa jQKud] cpu¡2¢¤£B¥k¥s¥k£d¡n¦r §©¨ª[« X+Yq]Bud]viyfQtTegfo\'u¬fQeg]fTv[fQ~[cd]Bv joe®ed]B~[eg]Bud]Ga?cdisa[t2ud] cpuisaqhGkqudisjoaqu¬fQaqv¯ika?cg]Gepu]@h cdisjoa uG°V]BfThpY¯u]Gc¬¡n± foaqv]BfohpYa[jTa]B\'~c|²isaTcg]Gepu]@h cgikjTajof'ud[VhGjosk]@h cgikjTajo¡2¢¤£B¥k¥s¥s£¡n¦2iyu(eg]G~[eg]Bud]Ga?cg]Bv²w2f'qa[is³?[] hGjoa[aq]Bh cg]Bvleg]GtoisjoaljQVcdYq]~[yfQa[]T«T´?cgfoecgikaqt(iµcgY²fv]Bugh egik~[cdisjoa'jQVcdY[]visfotoepfQ\ r08]v] ¶qaq]+cdY[]·v[qfQ tTegfo~[Y©¸¹fQaqvºeg]Bfoudjoaº(ikcdY©cgY[]²~[egjo~V]Gedcdis]Bujo»cgY[iyu$toepfQ~qYcgj=[[isyv©f ~[sfoaqfQe/ed]B~[ed]@u]Ba?cgf0cgikjTajo cgY[]2¡ ¢ £G¥s¥k¥s£¡ ¦ «X+Y[]Bud]viyfQtTegfo\nu(iks8 ]qu]@vcdj¯?iyudqfQsik¼B]ncdYq]eg]Bud[kcgu$jo·f=h jT\'~[k]G©ed]@³Tq]Buc jTa©fQawisaqv]G]Bvwisv[]Gj=v[fQcgfQ foud]o«½`ba¾fTh cBr u hpY¿fed]B~[eg]Bud]Ga?cgfQcdisjoafQskj0u¬cgY[]2qud]Ge$cdj=~V]Geph ]BikT] udis\/[kcgfoa[]GjTquscdY[]leg]Bud[µcpu·joY[iyu®³Tq]Geg foaqv cgY[]eg]Gs]G0foaqh ]jQKcgY[]lvqf0cgfoqfoud]fThGhGjoepvikaqtncdjcdY[] ³?[]BedT« ÀÁ?ÂDÃgÄ/Å 0Æ o K[s]Ge/v[isfotoepfQ\nuGrDÇÈ]Ba[a©visfotoepfQ\nuBrVYww~V]GegtoepfQ~[YquBrDtoepfQ~[Yº~[yfQaqfoedikc|or½vqf0cgfwiyuqfoµm is¼BfQcdisjoa. ÉÊO˻̻ÊOÍ¿ÌÎ0Ï Ð0Ñ?ÒgÓ?ÏpÎBÑTÔbÕ ÖT×TÔØBÓTÏpÒ ÉdÉ ÊOË8Í·ÖoÙÔbÚÛbÑTÔ»Ü'Ø Ô|Ó?Ò@Öw×TÔØBÓTÏpÒ. Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30.
(7)
(8) "!$#%%&' ()()* +,- $
(9) /. #0!,213 !5476'8 ]GcfQedcdiyh s]·\'joa?cdeg]v[]\nfQaqikZBed]¬h joa u|cgedqh cdiso] ] iyu|cg]GaqhG] v [a[]®eg]G~[egxBud]Ga?cgfQcdisjoa²udjoqu jTed\']¯v[]viyfQtTegfo\l\']=fo~[~ ]BkxB]¯viyfQtTegfo\l\']= v K[s]Gex cg]Gaqv[ v]=cgjocg]¯h jTks]Bh cdisjoa v ]Ga u]B\/[s]Bu ¡ ¢ £G¥s¥k¥s£¡ ¦ ~Vjo[e§ ¨ª[« ]Bu2v[isfotoepfQ\'\']Bu²udjoa?cfTv[fQ~cgxBu2~ jT[e2eg]G~[egxBud]Ga?cg]Ge²s]Buika h squisjoa u²] c isa?cd]Begud]Bh cdisjoaqu v ]Ga u]B\/[s]Bun°hpYqfo³?[]n]Baqu]B\/[s]n¡ ± ] chpY fo³?[]'ika?cg]Gepu]@h cdisjoaa[jTa?iyv]² v [a¿udjoqu ]Baqud]G\/qk]$v]@u(¡ ¢ £B¥k¥s¥k£d¡ ¦ ]@u|ceg]G~qedx@u]BaTcgxG]®~qfoe[a[]egxGtTikjTaqa[is³?[]$v[~[sfoa½
(10) « ~ fQedcdise· v [a[]$v]@u|m hGedis~cgikjTa=v¯viyfQtTegfo\l\']Tr[a[jo u·vxG¶qa[iyududjoaqu·[a=tTegfo~[Y[]$vqfo¸ ]Gcx cgqvisjoaqus]Bu~qedjT~[edisx cgxBuv[]h ] tTegfo~[Y[]¬~ jT[eh jTaqucdeg[ikeg]®[a[]®eg]G~[egxBud]Ga?cgfQcdisjoa~[sfoaqfQiseg]¬v]@u(¡ ¢ £B¥k¥s¥k£d¡ ¦ « ]@u»v[isfotoepfQ\'\']BuKudjoa?c8v[]Bucdisa[xBu Gcdeg]·cgiksisudxBu8~Vjo[e8wisudqfokiyu]BeKs]Bu8edx@uqµcpf0cgu» v [a[]¬ed]@³T
(11) cd]¬h jT\m ~qk]Gw]¬uqe[a[]¬qfTu]·v[]vjTa[a[xG]@uisaqv]GxG]v[]vjh q\l]Ba?cgu»\/[kcdis\'xBviyf[« ]c|w~V]¬v]ed]B~[egxBud]Ga?cgfQcdisjoa ~V]Geg\'] c 2 cdiskiyugf0cd]B[ev]'~ ]BeghG]GTjoise 2sf2 joiyu®k]legxBud[µcpf0cv]'udfed]@³? cg]]Gc¬yf2~V]Gedcdisa[]Baqh ]nv]lsf foud]®v[]®v[joa[a[xB]Bu+wiyu l?iyu(v]yfled]@³T
(12) cd]T« Å @ Ã / viyfQtoepfQ\'\']BuÈv Kqk]BeBrov[isfotoepfQ\'\']Buv](ÇÈ]Gaqa½rQYww~ ]BedtTegfo~[Y[]BuBr¤~[yfQaqfoedikcdx(v](tTegfo~[Y[]or wiyu fQsisugf0cgikjTav]$vjTa[a[xB]Bu.
(13)
(14) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 =. ^. >?A@BCED/FGH@IJC?. `bacgY[]LK6M0cgY¿h ]Ga?cg[edTrON]Gjoa fQepv[k]BeY fou~[egjo~VjTud]Bv©f=to]Gaq]GepfQKa[jocgfQcdisjoa joe/ed]B~[ed]@u]Ba?cdisa[t=u]Gcgu eg]Gyf0cgikjTaquB
(15) r Pwa[j0(afTu+K[s]G/e QisfotoepfQ\nSu R¾h |U« T K[ W V6XZY H« [a K[s]Ge·v[isfotoepfQ\ iyufl~[sfoaqfQeud[Dvis?iyudikjTa q[ikkcK egjo\fhGjosk]@h cgikjTajo) \Tjoepv[fQa'h qedT]BuBr0]BfohpY'h qedT]8V]Gisa[t$fTududjh iyf0cd]@v$cgj$f®u]GcfQaqvl]BfThpYeg]GtTikjTa cgj²f'a[joa[mO]B\l~[c|²ika?cg]Gepu]@h cdisjoa joud] cpuG«[[k]B/e QisfotoepfQ\nu+Yqf¤o]®V]G]Ba u]@v ika 0fQegikjTqu(fQ~q~[kiyhGfQcdisjoaqu R h |]« T_^S`ba·Tc XZY H« d[e(\nfoikatoj?fQ Y[]Bed]®iyu8cdjnqud]¬cdY[]B\ isa f'v[fQcgfoqfoud]wiyu fQsik¼@f0cdisjoa h jTa?cd] wc@« `ba v]G]@v r0]Ga[Y fQaqhGika[tcdYq]8wiyu fQsik¼@f0cdisjoajQ cdY[]+eg]Bud[µcpu jQV³?[]Bedis]Bu isalvqf0cgfoqfoud]BuV]Bh jT\']BuÈf¬hpYqfQsk]Ba[tQm isa[t$foaqvlqu]G [[cpfou P:T joaqor X(
(16) Vwr N ?6 XO«TK[s]GeviyfQtTegfo\nutoiso]BuÈfoa'ika?cdqiµcgikT]ed]B~[eg]Bud]Ga?cgfQcdisjoa jo(cdY[]ed]BsfQcdisjoaqudY[is~©jQf¯h joss]Bh cgikjTa¿jQ·vqf0cgfTu]GcguBO« ejTed]Bj0o]BeBr ik·]Gs]G\']BaTcpfQegº³?[]Bedis]BufQeg]2fougudjwhGiµm fQcd]@v(ikcdYud] cpuGrcgY[]Bud]eg]G~[eg]Bud]Ga?cgfQcdisjoaqu8tT]Ga[]BegfQcd]¬\'fo~qu(jocgY[]$v[f0cpfQqfTu]fThGh jTegv[ika[tcdjlcgY[]$qud]Ge u wis]G(~Vjoisa?cB« fqjoe²]Gfo\'~[k]TrKikf u]Be²isu²kjw*j Pwisa[tº joe2v[jwhG[\']Ga?cgu²joa%(edikcd]Begu²joen~qfoika?cd]Begu²jQ¬cdY[h ] g'` g cgY hG]Ga?cdqedjTaftoiso]Galv[f0cpfQqfTu]8fQaqvik Y[]8jocpfQisaqucdY[](viyfQtTegfo\ jQq¶ to[egi] K+fTuf·eg]Bud[kcBr¤Y[](hGfoa/isa ]Ge isa jTed\nf0cgikjTaVjQcgYjoaY[iyued]@³?[]Buc$fQaqvºjoacdYq]2h jTaTcg]Ga?cjQ8cdY[]²vqf0cgfoqfoud]o« `ba v]G]@v r cdYq]2viyfQtoepfQ\ udY[j0uisa¿~qfoecgishG[yfQecgYqcgY f0ccdY[iyuvqf0cgfoqfoud]n(isk8a[jQcl ]ed]Bk]B0fQa?c/ikY[]2sjw*j Pu® joeika[ joeg\'fQcdisjoa©jTa ~ fQisaTcg]GepuK egjo\ cgY[S] g/g cdY hG]Ga?cd[egorwV]BhBfQqud]fokVcdYq]~qfoika?cg]Gepu~[eg]Bud]Ga?c+ika2cdY[iyu+v[f0cpfQqfTu]¬fQeg]·]BiµcgY[]Ge ~Vjw] cpu(joe8 egjo\ cgY[b] g·'` g h ]BaTcg[ego« painters. poets. jEk lUmnom7[viyfQtoepfQ\. XIX century. Tf ududjh iyf0cg]Bv²(ikcdYf'³?[]Geg ÇÈ]Ba[a2viyfQtTegfo\'ueg]G~qed]@u]BaTcgikaqt$fQs[cdYq]~ j?ududis[k]·ika?cd]Begud]Bh cdisjoaquK ]Gc|»]B]Ga'cdYq]·isa[iµcgisfo ud] cpupT }(qugKX foed]la[joc®fTv[fQ~cg]Bv¯cdjjo[e®~[qed~VjTud]BuB«D`ba¯¾fTh cBr 8]'8foa?ccgYqf0c]BfThpY¯eg]GtTikjTa¯vepf¤(a¯isa¯cgY[]²viyfQtoepfQ\ hGjoeged]@u~Vjoa v[u cgj·a[jTa/]G\'~c|siyu|cjQ ud]Gs]Bh cd]@v/vjh q\l]Ba?cguB«¤X+Yqisuh jTaqucdepfQisaTcisu \'jQcgik0f0cg]Bv/?®cgY[]»¾foh c cgYqf0c¬\'jTucjQÈcgY[]/~qedjo ]BuguisjoaqfoX+Ç fQephpY[ikT]Bu(isaqv]G]Bv=v[fQcgfoqfoud]BufQeg]/fougujhGisfQcd]BvcgjfncgY[]BugfQqedqu hGjoa?cgfoikaqika[t+]GhGk uiso]isaqviyh ]BuB«BX+Yqisu½hpY fQepfoh cg]Gegisucdiyhik\'~[sik]@u cgYqf0c\nfoa?h jo\[isaqf0cgikjTa¬jo?]Bk]B\']Ga?cgfoed eg]B³?[]@u|c+vjla[jQc(u]Bk]@h cfQawnvjh q\l]Ba?cB«X+Y[]Gar»]¬~[egjo~VjTud]ftoepfQ~[Y[iyheg]G~qed]@u]BaTcpf0cgikjTan(Y[ishpYisu+foa ]Gwcd]Ga uisjoajQ K[s]Ge·viyfQtTegfo\nqu R h |]« T K[ W V[r Nz?6 X Y « `banudqhpY'fQanfQ~[~qkiyhGfQcdisjoa½r08](\/qucÈ ]fQ[s]8cdjeg]G~[eg]Bud]Ga?cÈw$K[s]Gev[isfotoepfQ\nufQaw/h jTks]Bh cdisjoaljQ u]Gcgu foaqvcdY[]Bike»a[joan]B\'~c|isa?cd]Begud]Bh cdisjoaquBW« ejoeg](~[eg]BhGisud]GsorQjT[eKtTjTfQqY[]Geg](isuKcdj$udY[j0 ?'fh jTaqucdegqh cgikT] \']GcdY[jv2cdY[]®] iyu|cg]GaqhG]jo foa]G?cg]Gaqv[]Bv²[k]BeviyfQtoepfQ\ jTe(fQaw²h jTks]Bh cdisjoa2joisaTcg]Gepu]@h cgikjTaqu8jQq~ cgjn]GistoY?cud] cpuGo« r]$(issa[jocdiyh ]®cdY f0c(Yq]GacdY[]aw[\/V]GejoKu]Gcguiyu(tTed]@f0cd]Be(joe]@³?qfQ cgj²a[isa[]orVu hpY fl~[yfQa fQe+ed]B~[eg]Bud]Ga?cgfQcdisjoa2\nf¤²aqjQc] iyu|c@« X+Yqisu+~qfo~ ]Be(isu·u|cgedqh cd[eg]Bvfou8 jTksj0uB° m'`ba ud]Bh cgikjTa r8»]=¶qegucv[] ¶qa[]¯cdY[]] wcd]Baqv]@v K[s]Ge viyfQtoepfQ\ ed]B~[eg]Bud]Ga?cgfQcdisjoa joefh jTµm s]Bh cdisjoa jo®isa?cd]Begud]Bh cdisjoaq"u s ±/jQ$f¿ud] c2jo/u]Gcgu²¡n±«8X+Y[]Ba½r8]=~[eg]Bud]Ga?c2ikcguvqfo·eg]G~[eg]Bud]Ga?cpf0cdisjoar Ì»Ì Ót)ucv6wyx.
(17) . H !W O 0(. cgY[]<NhGjoa[a[]@h cg]Bv=yfQV]Gss]Bv=tTegfo~[YfTududjh iyf0cg]Bv cgj¡ ± fQa v¯v]@udhGedis ]lcgY[]'~[edjhG]Bugucgegfoaqu| jTed\'isa[tf Nh jTa[a[]Bh cd]@v2yfQV]Gsk]@v2tTegfo~[Yika fQa ] wcg]Gaqv]@v2[k]Be·viyfQtTegfo\« m(`ba¯ud]Bh cdisjoa¯^qr 8]ludY[j0McdY f0cfQawh joss]Bh cgikjTajQisa?cd]Begud]Bh cdisjoaqu·jQ[~=cdj M2ud] cguYqfTuf2~[sfoaqfQe Nh jTa[a[]Bh cd]@v2yfQV]Gsk]@v2tTegfo~[Yed]B~[ed]@u]Ba?cdisa[tikc$« . I
(18) B . B /BU?A@ @IJCA?. ^¬iso]Ba ¡ B¡ ¢ £d ¡ Q£G¥s¥s¥k£d ¡ =fh jTks]Bh cdisjoa jQaqjoa ]G\'~c|viyucdisaqh c2ud] cpuGrÈ8]+fQa?c'cdj[qikyv f tTegfo~[Y[iyh¬ed]B~[ed]@u]Ba?cgf0cgikjTa2(Y[iyhpYuYqj0u+ika jTed\nfQcdisjoa fQVjoc(cgY[]$u]GcgufoaqvcdY[]Bike·ika?cd]Begud]Bh cdisjoaqu+jTaf ~qsfoa[]o« N½]G4c s!"6s ¢ £ s# o£G¥s¥k¥s£ s %$ cgY[]nh joss]Bh cgikjTa¯jo8fQs~ j?ududis[k]lisaTcg]Gepu]@h cgikjTaqu¬ ]Gc|»]B]Ga=cgY[]'¡ ± « [k]Be$viyfQtoepfQ\nu T Kq * VcXh jT[yv=V]nqu]@v=[[cfo~[~V]BfQe¬cgjV]lcdjwjed]@u|cgediyh cgikT]/ jTe¬jT[e®~[[eg~ j?u]T«D`ba ¾fTh c@rqfQaKqk]Be·viyfQtoepfQ\ h joa uiyu|cpu(jQÈudik\'~[s]/h sjTud]Bv hG[edT]Bu(hBfQsk]@vhGjoa?cdjT[epu(fougujh iyf0cg]Bv(iµcgY=u]Gcgu (YqishpY²ud~[siµc»cdY[]~[sfoa[]isa?cdj$¼Bjoa[]@uG«TfohpY²ud] c¡ ± isu»fougujh iyf0cg]Bvl(ikcdY2foan[a[iy³Tq]h jTa?cdjoqeBrQ¡ ± ]Bika[t eg]G~qed]@u]BaTcg]Bv2?²cdY[]isa?cd]Gegisjoe(jQcdY[]$hGjoa?cdjT[e@« X+Y[]hGjoaqhGed]Gcd]·[k]Be(visfotoepfQ\nu»~[edjT~ j?u]@vnisa f sj0»]Be»fQa :v aj0ud] u+fQ~[~qedj?fohpY T f aT6 Xfoed]o]Bed 8]Gsv]G¶qa[]@vqc·]GT]Ga\'joeg]¬eg]Bucdegiyh cdiso]T«`ba ¾foh cBrqhGjoaqhGed]Gcd]®K[s]Ge·v[isfotoepfQ\nu+fQeg]K[s]Ge·viyfQtTegfo\nu (ikcdY' ]B \'joeg]h joa u|cgegfoika?cguB«oX+Y[]¶qeguc»hGjoaqucdepfQisa?cguÈisa?cdegjwv[qh ]@vnf0cKcgY[]·h qedT](k]Bo]GOro\n*f Po](Yww~ jocdYm ]@uiyuKjTancdYq]¬ud] c8jQ½isaTcg]Gepu]@h cgikjTaquÈV]Gisa[tlv[egf¤(a°?]BfThpY²u]Bto\']Ga?cjoh [ego]·v[]Gsik\'ikcgu»cdY[]ika?cg]GegikjTe»fQa v cgY[]·]Gwcd]GegisjoeKjo½] [foh cdsjTa[]·ud] cr?fQaqv²]BfohpYnisa?cd]Begud]Bh cdisjoanjQ½hG[edT]BuisuKcdY[]¬h egjTuguisa[tjQ½]G[foh cgkc|8j hGjoa?cdjT[epuG«DX+Y[]'ika?cgedjvqh cdisjoajQ' &] [fTh cds (/isu¬T]Gegqu]G [cdj ud~ ]@h ik joeg\nfQsk cgY[]'~[edjT[s]G\ fQa v ikcguvqfo½ joeg\/qsfQcdisjoa (iµcgY=toepfQ~qYquGrq[c·]Bkis\'ikaqfQcd]@u(cdYq]hGfTu]@u(isa(Y[ishpY=cdY[]/ud] cjQKuqqu]Gcgu·[[isµc egjo\ cdY[]isa?cd]Gepud]Bh cgikjTaqu8jQ cdY[]¡ ± vjw]@u+a[jQcYqf¤T]¬udqhpY~[egjo~V]Gedcdis]BuB« rº]+~[egjo~VjTud]8foa]G?cg]Gaqudisjoa/jo Kqk]B*e )0ÇÈ]Ga[a'viyfQtoepfQ\nu (Y[iyhpYisaqhGed]@foud]BucdY[](aw[\ ]Be joVud] cÈ¡, ]Bika[t ~VjQcg]Ga?cdiyfQss2vepf¤8fo[k]T
(19) « [u+»]¬(iskud]G]¬isacgY[]®a[] wcud]Bh cgikjTa½rjoqe+v[isfotoepfQ\nu»hBfQa ]®eg]Gyf0cg]Bv2cdjlcdY[] aqjQcdisjoajQo]Becg] wmU~[sfoaqfQegikc|isa?cdegjwv[qh ]@vw: \TjoYqaqujTafoaqvz jTkyWf P T \Tz M?c X joe(Yww~ ]BedtTegfo~[YquB« `ba=cdY[iyu¬~qfQ~V]Ge®fQaqv¯fohGhGjoepvisa[tncdjjo[e~[[eg~ j?u]@uGr joe®fQaw h jTks]Bh cdisjoa=¡ joK[~=cgj2]BiktTYTc¬]Gs]G\']Ga?cpuGr 8]'8foa?c¬cgj ed]B~[ed]@u]Ba?c¬w¯foa]G?cg]Gaqv[]BvºK[s]Ge$viyfQtTegfo\¹cdY[]²hGjosk]@h cgikjTajo»a[jTa]B\l~[c| sV±|«´w hpY v[isfotoepfQ\nu+fQeg]¬hpYqfoegfTh cg]Gegik¼B]Bvnw²cgY[]® jossj0(ika[tl~[egjo~V]Gedcdis]BuB° m[·a ika?cd]Begud]Bh cdisjoa~ jTika?c\nf¤nisaTcg]Gepu]@h c(\'joeg]¬cdYqfoalhGjoa?cdjT[eguBr m[hG[ego]u]Bto\']Ga?c(\nf¤n ]~ fQedc+jo \'jTed]¬cdY fQajoa[]$hGjoa?cdjT[eBr mK»fohpYa[joa ]G\'~c|" s ±Èiyu(fougudjwhGisfQcd]@v2(ikcdYfl[a[iy³?[]¼GjTa[]or m]BfohpYud] c$¡n±(iyu$fougujhGisfQcd]Bv(ikcdY¿fud] c$jQ+¼GjTa[]Bu®(YqjTud]n[a[isjoaº joeg\nu$fh jTa[a[] ~[sfoaqfQeeg]GtTikjTa (YqishpY\nf¤2h jTaTcpfQisaYqjos]BuB« X+YqjTud]n~[edjT~ ]Becgik]@ufQeg]'qu]@vºcdj=v]G¶qa[]n jTed\nfokscdYq]²] wcd]Baqv]@vK[s]Gev[isfotoepfQ\n,u +.- R isa¿u]@h cgikjTa [« KcYKfoaqvnikcgu+vqfo eg]G~[eg]Bud]Ga?cpf0cdisjoarQcdYqq] Nh joaqa[]Bh cd]Bv²sfo ]Bks]BvntTegfo~[Y¸ R¾ikau]@h cgikjTa« * Y «w´w]@h cgikjTa [« ^v]@udhGedis ]@ucdY[]'~[egjh ]BugucdjcdepfQaqu joeg\ f Nh jTa[a[]@h cd]@v=yfQV]Gsk]@v¯tTegfo~[Yº¸ ed]B~[eg]Bud]Ga?cdisa[t2¡ isa foa¯]G?cg]Gaqv[]BvK[s]GeviyfQtoepfQ\ °V\nWf Pwikaqt2cgY[]'Y?w~VjQcgY[]BudisucgYqf0c$¸ iyu¬~[sfoaqfQe@rD»]'h jT\'~[cd]'fvegf¤+m isa[0t /21O4¸ 3·jQ»¸ fQaqv¯ika?cdegjvqhG]ud~ ]@h iyfQ o]Gedcdiyh ]@u·is5a /61O4¸ 3(cdjjocpfQisa¯fncgediyfQa[tT[yfQe·\']@u7Y /98:1U4¸ 3p« f isaqfQssorV edjT; \ /<8%1U4¸ 3pr 8]tT]Ga[]BegfQcd]/foa¯Èwcg]Gaqv]@v¯[k]BevisfotoepfQ\¹(Y[iyhpY¯iyu®f2eg]G~[eg]Bud]Ga?cpf0cdisjoajo ¡«. ÊOË8ÌÊUÍ.
(20)
(21) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 . V. m0n Á Æ Á Æ Á ²Æ k l 0¿ Á k k¾Å nom
(22) U1 'S11 -!J#4 *+1 _H( 11 -!$#!(1S W / ZW sfo ]Bks]Bv O + + !!$#" -+ !#1 0 ' (q& Z,$+!W65H 1&%1' 3p£)(+*',w§1- 3 3 O .%1- 30/1 H(2(3*-,w§1- 34/765£+7 8o!:+9 h *+1 +(:1!$#;+! 5!WH(c,<6!H$= 1' 34(>H+(:1 ? @ #(3*'w, §1- 3'A5CB3 := 1- 3DU* §FE*1- 3 @ #(3*'w, §1- 3'G7HB3 := 1- 3JI#KLE*1' 3 c1. a. c. 2. c3. z1. z2. b. c. z3. jEk lUm m [$°Df²¼GjTa[]/(ikcdY=c|»j²Yqjos]BuH(+*',w§1- 3M(3*-,w§1-+N 3 O7
(23) P Q°DfQa¯] wcd]Baqv]Bv=K[s]GeviyfQtoepfQ\ (ikcdY1R71'S ¢ 3 #T# ?rR71'S 3 UT £)V¤£W ®foaqvXR51&S3N 3 U T« A. B. Á k ¾k Å m
(24) Y] wcd]Baqv]Bv¯K[s]Ge$viyfQtTegfo\ 5) 1' £Z¬£[ 3,O!c1X !W2p5!) o 0<"(* @ H+(&# !W ! +? \ 3o 841 !J#b .*+ ] 4<1 !J#! (*^ S .*+ . ( 1 )(_ #+ 9? ` acbFd"/1 £)e ./c2B"% 1- 3fdpWH(C(3*'w, §1- 3f5 8) 21c. b >g1,WH(<& +2+ . (: Z·]Gawo]BkjT~ ]:!$#d ` +hb¦6i1&d 3&a ` ja #% 1- 3k% 1'ml 3ZB"nJml-WH(2(+*'w, §1- 3f(3*'?, §1'ml 3b "H(Cml(*!:H! A ' +1)1 ` ja #% 1- 3k% 1'ml 3ZB"nJml WH(2(+*'w, §1- 3'A5CB3 X(+*'w, §1-ml 3G7 WH(CmlFopO* §F*E 1' 3 q [ 11 !$#<y!WH C !W 5!)( : '!< ZE5H .HW5 0!W7(*-3)+(:1 < 21c !J#G E +:<6!WH$SL!J#[ c+1!31 0 '+( '!:<1 !J#b + _r7 R 1'S 34(>H+(:1 ` as5 R 1&S 3 Ud"/c .t bu./1¬ £, #% 1- 3kdE Z1:SoD= 1- 3% ` ja #r7 R 1'S 3
(25) J7 R 1'S l 3H(5 R 1&S 3.k n vB3 Z1X4 S fS l b)! '$[xw< Z41 E!J#<6!) 1!# 0W 8+(: 8!" 2/5H 1 !J#b + _ [4w+!W ' W A ++ - ZH<y!WH.S#w fy{zZ|)} ~ ±p ¦ | I#KL*E 1- 3 8)b11 !$#4% ' )(*+(,- . (W 01 *2,4 bH! '+( +.- [ u+f/\nf0cg]Ge8jQ½¾fTh c@r?8]¬Yqf¤o]ika?cdegjvqhG]BvT\ joepv[fQah [ego]@uKcgjlv]G¶qa[]¬¼GjTa[]BuBrTqc+cdY[j?u]¬a[jQcgikjTaqu8fQeg]. ]@³?[ik0fok]BaTc@«`bacdY[]® jTksj0(ikaqtqrw»]®(iskqu]epf0cgY[]Ge8cgY[]¼GjTa[]Bu8 jTed\nfQsis¼Bf0cgikjTa½« Á k k¾ Å D]m
(26) U1 ¡ B¡ ¢ £ ¡ Q£B¥k¥s¥k£d¡ + 1 !$#L)! 2/5H (W + 1 11 0 !$#X1B s 6s ¢¤£ s £G¥s¥k¥s£ s 9 Z-11 !$#W 65!++ 01 /H!W: 2/5H S ' +1) 0!+1 +1< È¡n± ` R; a b1W < - % 81H(+(,- 1( 0y W 2 1- ·Z£ ¬)£ [,34 4viyfQtTegfo\ ed]B~[ed]@u]Ba?cgf0cgikjTa !J#¡ #WH( !W < #m? ¡ dK \ :1 1) 0!XD . Ì»Ì Ót)ucv6wyx.
(27) H !W O 0(. (>H+(:1 1'S3 y
(28) 9 1&d 3S " 1)1 0!W ] [ [xw s{"SC 2< \ Èwcd]Baqv]BvK[s]GenviyfQtTegfo\'u/hGfQa ]ed]BsfQcd]@v©(iµcgY \TjoY[a ujTa¿fQaqv©zjTkyfWP u/a[jocdisjoa¿jo ~qsfoaqfQegiµc|' jTe(Yw?~V]GegtoepfQ~qYquqT T\ z?M 6OX « N ] c 1K £9 38V]/fQa Yww~ ]BedtTegfo~[Yfoaqv¡ B¡ ¢ £B¥k¥s¥k£d¡ $ ]fnu]Gc·jQa[joa]B\'~c|viyucdisaqh c ud[qud] cpu+jQ4, uqhpYcdY f0c(cdYq]Geg]®foed]T° mfljTa[] mUjoa[]®\nfQ~+ egjo\ cdY[]$ud] c(jQYww~ ]Bed]@vto]@u foaqv2¡; B¡2¢¤£B¥k¥s¥k£d¡ Tr mf\nfQ~¿ V] c|8]G]Ba, fQa vcdYq]'ud] cjo8fQsÈ~VjTuguis[s]a[jTa]B\'~c|=isaTcg]Gepu]@h cgikjTaqu·V] c|8]G]Ba¯cgY[]'¡n±r s 6s ¢¤£ s £G¥s¥k¥s£s 9 ugf0cgisu wikaqtq°b _/ £ ² V]Gsjoa[t?u8cdjlcdY[]Yww~V]Geg]BvtT]H$I jQ ikKfQaqvjoa[s²ik ' 1! 3#"$ 1-I 3 « `Ufoa=] wcg]Gaqv]@vK[s]GeviyfQtTegfo\ 1' £Z¬ £[ 3(isu¬f2v[isfotoepfQ\ eg]G~qed]@u]BaTcpf0cgikjTajQK¡¿rqcdY[]Ba 1-· £Z¬ £[ 3(isu fo]Becg] wmUqfoud]Bv©viyfQtTegfo\ eg]G~qed]@u]BaTcgikaqt=cdYq]Yww~ ]BedtTegfo~[Y% 1K £9 3fQaqv& isu'T]Gedcd]G?mU~[yfQaqfoe fThGhGjoepvikaqt/cgj T\ joYqaqujTafoaqvz jTkyfWP u+v] ¶qaqiµcgikjTa½« }·f0cdYq]Ge(cgYqfQa=8joe wP ikaqtl(ikcdY¯] wcd]Baqv]Bv [k]Be¬v[isfotoepfQ\nuGr8]$(iskqud]/f²vqfoeg]G~[eg]Bud]Ga?cpf0cdisjoa°cdY[] Nh jTa[a[]Bh cd]@v2yfQV]Gsk]@v2tTegfo~[Yqu+v]G¶qa[]BvisacdY[]a[]Gwc·u]@h cdisjoa«. ')( Å Á Q Á Æ ¾ Á Á Æ l 0+* , Á k k¾Å -Um
(29) Y yfQV]Gsk]@v2tTegfo~[Y < 5H ¬¸<1- ·££93bO13? \ 3 o 841 !J#b .*+ ] , 11 -!J#sfo ]Bks]Bvo]BecgishG]Bu+B ? ` a + + c ' %.7 b *+1 +(:& Zh<1 !J#b + _rR71/ 3" ` j a. " ! (. . 1. >+ 0 )(21 !$#) (W u A1 b!$#S *+1 _ q 1 E!J#4+(y S+L+ ZW &? ` a + + L+(1
(30) ., I 1! £, 1 3 !J#0 b + +(:&. 11 -!$#b *+1 _r5 R 1'I 3R71/ 343R51!1,3 ` ja #I
(31) / Z1 7 R 1-I 3.k n v `bacgY[]$eg]BucjQ cdY[]$~ fQ~V]Ge@rL 15 3»(iksV]cdYq]$u]Gc·jQsfo ]Bsu·fougujh iyf0cg]Bv2cdj'cgY[]$o]BecgishG]Bu+jo 5 r i « ]o« 165 387 i :9 7 R 1/ 3prq(Y[]Geg]." 5 iyuf'u]Gc(jQsfo ]Bks]Bvo]BecgishG]BuB« Á k k¾Å <; m
(32) U 1 ¸<1' £=K £9 3b+, *+1 +( W+5 34 hGjoa[aq]Bh cg]Bv # H("!o #4 Z48 W+5 > U 1 !d +,: *+1 !$# b1W ȸ<1-· £ £9 ¸H-l !$#·¸<1-· £ £9 3b!WL Z41 l !J#H >+ !J# 6y Ed L 11 !$#S *+1 _4 C !W)Z1 ' ( > ¸<1- £=K£93S S1 0(,NhGjoa[aq]Bh cg]Bv #4WH( ! < #S A b ?{+!oH) '+(p# !W dE : 3S S1 0(,NhGjo\'~[s] cg]O1@ (> H+(:1 ? > ¸<1- £=K £9 1! £, 1 3mt / £A1 / )(
(33) 7 R 1/ 3435 R 1!, 1 3$f n v G Y 1 8. 2 % $ ! 0 # . q 1 0. b ( N ( . h o j q a [ a B ]. h g c Q f q k ] '. < ! , + 1 B5 !J#0 #S)(!o , # 7 R 1/ 3" 165 3 > )8 1 (*-3 o 0!W '+(< 2 W q 2< ] ^¬ikT]Ga
(34) fQa vC² r cdYq]Geg]K] iyu|cpu joa[sjTa[]3NhGjo\'~[s] cd]ÈyfQV]Gss]Bv¬toepfQ~[Y®a[jocd]@v®¸<1' £=K £ | 3 foaqvfQaw:N(hGjoa[a[]@h cg]Bvsfo ]Bks]BvtoepfQ~qY ¸<1' £ £< 3»isu(f'ud[[toepfQ~qYjo¸<1-· £ £ | 3 « m. ÊOË8ÌÊUÍ.
(35) .
(36) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 A. B. C. ab. ab. ab. bc ac. bc. bc. ac. ac. W ad. cd. ad. ad. cd. bd. cd. bd. bd. jEk lUm#]m7N½] c u8cgfWPT]
(37) #TV£)V¤£W0£ ?r UTV0£WT0£WT £ZVQ£ZV £W Tr 1'T0V £WT p3 £ 1-T V¤£)V 3p£ 1'VQ£W 3p£ 1- £ZV 3p£ 1'V £WT 3p£ 1-Tq£ZT 3p£ 1-T0£ZVm 3p£ 1'V £ZV 3% Tr | 61-T ¤V £ZV3 £ 1-T V¤£ZT3 £ 1-T0£Z 3p£ 1'Tq£Z3: T« [/°¸<1' ££<3 isu f N hGjoa[a[]@h cg]Bv,sfo ]Bks]Bv¹tTegfo~[YP Q¬°¸<1' £=K£ | 3 isucdY[] N h jT\l~qk]Gcd]®toepfQ~[YP ° T· V iyuEN h jTa[a[]@h cgfo[s]cgj 5 #T £ZV £W £WT ?«. h joegeg]Bud~ jTaqvisa[t. `bacgY[]¬ joskj0(isa[tqr8]®(iks½a[jocd]T° m ©cdY[]$ud] cjo Nh joaqa[]Bh cd]BvyfQV]Gsk]@vtTegfo~[Yqu m 1- ·£ 3+cdY[]/ud] cjQ3NhGjoa[a[]@h cg]Bvsfo ]Bks]Bv tTegfo~[YqufTududjh iyf0cg]Bvcdj2f'tTikT]Gaud] c·joyfQV]G! fQa v f'ud] c jQyfQV]Gsk]@v2T]Gedcdiyh ]BuB° 1- ·£ 3 ¤¸<1' £=K£93mt ¸<1- ·££93 / m 1- =£ 3cdYq]$u]GcjQ~qsfoaqfQe(tTegfo~[Yqu8 ]BkjTa[toisa[tlcdj 1' £ <3p« Á k k¾ Å ]mc8H,2 +5*5H uT d +.- 1' xl Z£ ¬)£ [,34 < ¸ 1' =£ K£ 93S (*-3)+(:1 ? ¸ 1' =£ K£ 93 uTd 1 1' l )£ ¬)£ [,3 3b #)(:!o # < .
(38) . . . . . . . . ` a :!WH 8!"!H2< 5*5)
(39) + + : xlH(C ` a :1 1) 0!C[J )S +L+ ZW "R71'S3'DR711&S3 3 ` . a^I9 1! £1,3$/ #<WH( !o : # ¢ 1/ 3 )( ¢ 1/1,3<W<* (j1 +1 qW ! h5! 0! !J#{1c !J#SH!WLo ] 1
(40) c 5) )5 0!,# !W2 +( C a. abc bc b. a c. z1. z2. b. c. z3 z4. z5. jEk lUm -Um [·a=] wcg]Gaqv]@v K[s]Ge®viyfQtoepfQ\ 1- ·£Z¬£)[,3(foaqv ikcgu¬vqfQO«rº]/Y f¤o]
(41) R71-T 3 AR51&S ¢ 3 #T# Tr R71-T V 3 ;R71'S 3 #TV£)V¤£W ?r"R71- 3 ;R71'S#N 3 U Tr!R71'V 3 R71'S! 3 UV¤£Z foaqv R51&V 3 R71'#S " 3 V T« N ] c²¡ @¡ ¢ £¡ Q£B¥k¥s¥s£¡ = ]=fud] c²jo¬a[jTa%]G\'~c| v[isucdisaqh c2ud] cpu²fQa v s 6s ¢ £s T£G¥s¥k¥s£s %$ . cgY[]ud] c¬jQfok ~ j?ududis[k]ika?cg]Gepu]@h cdisjoa uV] c|8]G]Ga=cdY[]¡ ± «DÈwcd]Ga v]Bv¯K[s]Ge®visfotoepfQ\nufoaqvyfQV]Gsk]@v tTegfo~[Yqu+fQeg]¬ika?cdegjvqhG]Bvcdj'[[iskc·f'~[sfoaqfQe+eg]G~[eg]Bud]Ga?cpf0cdisjoajQ ¡¿«ejoeg]®~[eg]Bh iyud]GsV° Ì»Ì Ót)ucv6wyx.
(42) M. H !W O 0(. Á k k¾Å m
(43) U1 sl 6s ¢ £s Q£B¥k¥s¥s£s + Z 1 !$# s O > 12< o 0 Z H! 12/5H o 81+1) 0!+1 +1 Z¡ ± ` R ap 1 ZW / Z{ 4?{+!oH) '+( 1 +( W+5 ¸<1' £=K£93S tTegfo~[Y2eg]G~qed]@u]BaTcpf0cgikjTa !$# ¡ #)(:!W < #m? K \ :1 1) 0!c%19 ¡ B¡2¢¤£B¥k¥s¥ ¡ 9"d y
(44) %1'd 3S :1 1) 0! ] G sCl>4 (>H+(:1 1! 3<< , Z)# !W !& B -& H!W 8 +.-01¾¡73 Z11 ]!J# +.- +!W2p5!c1+(b!J#-( 01 *W2 '5H 1 o 8W 0!W-!$# ¡ H ( 1 ¡73E Z11 3!J# 5) )r 4?{+!)) '+(4 + +(b * 5"O >+ SS * 5"85) 1 ' 0! !$#+¡ 2< q `U:R0Nr r Yniyuf¿viyfQtoepfQ\ ed]B~[eg]Bud]Ga?cgfQcdisjoa%jQ$¡¿rcdY[]Ba T d 1 1- ·£Z¬£)[,3 3nisuf©tTegfo~[Y. eg]G~qed]@u]BaTcpf0cgikjTa2jQ ¡¿« rº]+fQa?cKcgj¶qaqvnf~qsfoaqfQeKeg]G~qed]@u]BaTcpf0cgikjTaljoDcdY[]·ud] c-sCl jQ a[joan]B\'~c|]Bk]B\']Ga?cgujQ]s udqhpY'cdYqfQcB° ] [i« > ]BfohpY]Gs]G\']BaT0c ²jo sCl½h jTedeg]Bud~ jTaqv[u»cdjnf'[aqis³?[]®¼GjTa[C ± ± o j e @ ] o f p h n Y ¡ ? r k i 4 " ¡ Q f q a v l y i K u [ a o j c d c q Y · ] [ [ a y i ? ³ [ · ] B ] k B ] ' \ ]Ga?cjQU s2lqisaqhGkqv[]Bvnisa²¡ ± rTcdY[]Ba²8]·hGfoa > ¶qaqv 1 ika sCl r 1 o ¡ ± +r 1 <n 2u hpY2cgYqf0$c [ i fQaqv [ ¿fQeg]¬fTv¤{fohG]Ga?cB« rº]2(iss8ud]G]²isa©cgY[]2a[]Gwclud]Bh cgikjTacdYqfQcik»]2¶qaqv¿foa©]Gs]G\']Ga?cljQ 1¾7 ¡ 3»]hGfQa[[isµc'uqhpY¿f ~qsfoaqfQe+eg]G~[eg]Bud]Ga?cgfQcdisjoa½« m j Å ')( Å Á o Á Æ ¾ Á Á Æ l 0+ * ,' Å©Á Á Æ Á Æ Á ²Æ k l 0 ¿ [ujo[e~[qed~VjTud]+Y[]Geg]»iyu\nfQisa[scdjudY[j0©cdYq]8]Gisucd]Baqh ]+jQDfQal] wcd]Baqv]@v/Kqk]BeKvisfotoepfQ\eg]G~[eg]Bud]Ga?cdm isa[t²¡jTaqh ]$fn~qsfoaqfQ/e Nh jTa[a[]Bh cd]@vyfQV]Gss]Bv toepfQ~qYeg]G~qed]@u]BaTcgikaqtl¡iyu( jT[aqv rV»](issv]@udhGedis ] isa jTed\nfQss¯cgY[]~qedjh ]@udu/jQ[qikyvisa[tºf¯] wcd]Baqv]@v©K[s]GenviyfQtTegfo\- egjo\ f=~qsfoaqfQe Nh jTa[a[]@h cd]@v yfQV]Gss]BvtoepfQ~[Y fQaqvisksqucdepf0cd]®ikc(iµcgY¶qto[eg4] V« N] c²< ¸ 1- ·£ £ 93$ ] fQa ]Gs]G\']Ga?c'jQ 1 7¡ 3p«ÈXj¯Yqf¤T]f¯ ]Gccd]Be²h jTaTcgedjTjTa¿cdYq]vepf¤(isa[t¯jocdY[] eg]Bud[kcdisa[tnviyfQtoepfQ\ 8]®ika?cgedjvqhG]u~V]BhGisfo ]BvtT]Bu(fQa v2T]Gedcdiyh ]Bu(v[[edisa[tlcdYq]~[edjhG]BuguG° KTE « [u|cgegfoiktTYTcdmOsisa[]¬v[egf¤(isa[t /21O4¸ 38jo¸isujocpfQisa[]B7v R¾h |]« T Q8X(X(Tc XZY « [« r]®cg]G\'~ jTegfoedneg]G\'j0T]·cgY[]$v[fQaqtosika[tl]Bv[to]Bu8 egjo\ ]BfohpYisaTcg]GegaqfQD¾fTh ]®jQ /21U4¸ 3p« ^qE« f[joe']@fohpY ika?cd]Beda fQ8¾fohG]
(45) -jQ /21O4¸ 3(Y[iyhpY isu'a[jocncdegisfoa[toqsfoeBr »] isaqud]Gedc'fud~ ]@h iyfQ(o]Becg] ed]B~[ed]@u]Ba?cdisa[t²cgY[]]B\'~c|¯ud] cfQaqvh joaqa[]Bh c¬ikc(iµcgYºfok cdYq]T]Gedcdiyh ]Bu¬jo R¾h |«D¶qtoqed<] VLR [YY « X+Y[]Bud]$u~V]BhGisfo o]BecgishG]Bu(fQeg]®ika?cgedjvqhG]Bvjoaqk2cdj²h jTa?cdegjoDcdYq]$vegf¤(isa[t'jQ cdYq]$visfotoepfQ\ «[X+Y[]Ba cdY[]$v[foa[tosisa[t]@vto]@u(fQeg]®ed]Bikaqud]Gedcd]@v²isa joa[]®jQ cdYq]a[]G cdegisfoa[toqsfoe¾fTh ]$ud[Vv[ikwiyvikaqt '« r]a[j0 Yqf¤o]$f'cgediyfQaqto[yf0cgikjTa
(46) ¢ £G¥s¥k¥s£ ¦ ed]B~[eg]Bud]Ga?cdisa[t2< ¸ 1- ·£ £ 93fQaqv 8]/hGjo\'~[cg]fna[]B vegf¤(isa[tljQiµc@« «+`U/f©cdegiyfQa[tT[sfoen¾fohG] ± 1/ ¢ A£ oA£ 6N 3nh jTa?cgfQisaquf0cs]BfTu|cfv[foa[tosikaqt¿]BvtT]¯h jTa[a[]@h cd]@v%cdj ± r f2ud~V]Bh iyfQ o]Becg] wed]B~[eg]Bud]Ga?cdisa[tncgY[]]B\'~c|=u]Gc¬iyu¬ika u]Becg]Bv=foaqv]Bv[to]Bu¬h jTa[a[]@h cdisa[tcdY[] ] wcdeg]G\'ikcdis]Bu'jQ¬cdYq]=v[fQa[tTkisa[t]Bv[to]Bunfoaq$v w=foed] h eg]BfQcd]Bv½«È`UC ± iyuna[joc2h joaqa[]Bh cd]Bv cgjf v[fQa[tTkisa[t']Bv[to]¬cdY[]Ba wfQaq@v $fQeg]®hGjoa[aq]Bh cg]B7v R¾h |«¶qtoqed4] V R YY « X+Y[isu+s]BfTv[u8cdj²fla[]B ~qsfoaqfQe+toepfQ~qYH¸ lfoaqvfaq]G vegf¤(isa[t /21OH¸ l 3 . . ÊOË8ÌÊUÍ.
(47) .
(48) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 ae. ab. A. ae. ab. B. ad ace. ae. ab. C. ad. ad. ace. ace d. abd. D. bcd. ac. bc. abd. bcd. abd. bcd. d. b. d. ace. ac. c. ad. d b. d. ace bcd. bcd bc. e. ae. ab. F. c. ad. d. ace. bcd. ac. a e. ae. ab. E. ad. abd. bc. a. ae. ab. ac. bc. abd. abd bc. ac. bc. ac. jEk lUm ; m3X+Yq]%hGjoaqucdegqh cdisjoajofQa ] wcg]Gaqv]@v[k]Be¿viyfQtoepfQ\ egjo\3fMvepf¤(ikaqt jof ~[sfoaqfQe N h jTa[a[]Bh cd]@v tTegfo~[Y R> ; UTV£ZV¤£Z0£ £WI =fQaqv< # £WTq£ZT V¤£WTI?£WTmI?£WT0£)V0£)V £WT V cY « fThpY isa?cd]BedaqfoÈ]G\'~c|ed]Btoisjoa¯iyu$vepf¤(aºikatoeg]GfQaqvisu/fougujh iyf0cg]Bv=cdj=f eg]Bvo]Gedcd]G «]$[ °fvepf¤(isa[tjo f N h jTa[a[]Bh cd]@v¯yfQV]Gsk]@vtoepfQ~[Yº(ikcdY[jTccdY[]v[fQa[tTkisa[t]@vto] 1 £WT p3 «!¬Q ° cdY[]2]G\'~c|¯eg]GtTikjTaºfTu|m udjh iyf0cg]Bv cgjf2a[joa¯cdegisfoa[to[yfQe·¾fohG]o« ° cgY[]'v[fQa[tTkisa[t]BvtT] 1 q£Z T 3 isu®vepf¤(a½«)/Q °VcdYq]tTegfo~[Y¯fQa v. ikcgu+fTududjh iyf0cd]@vneg]Gtoisjoa uG«T°wcdY[]¬] wcg]Gaqv]@v2[k]Be(visfotoepfQ\ (iµcgYisa?cd]Bedaqfo eg]GtTikjTaqu8fougujh iyf0cg]Bvlcgjlfoa ]B\'~c|2ud] cjQ sfo ]BsuB« f8°cgY[]ed]@uqµcgika[t']G?cg]Gaqv[]BvK[s]Ge·viyfQtTegfo\ f0 cg]Gev]G joeg\'fQcdisjoa½« V[«+fohpYo]Gedcd]G$jQVH ¸ lwiyuÈfougudjwhGisfQcd]@v®cdj®f·~qsfoaqfQeeg]Gtoisjoa/sfo ]Bks]BvwiµcpuÈu]Gc jo yfQV]GyuG«0X+Y[]+eg]Gtoisjoa u jQcdY[]~[yfQa[]/hGjoeged]@u~Vjoa vikaqtcgj2fQa]B\'~c|ud] cjQÈsfo ]BsufQeg]$fougujhGisfQcd]BvcgjncdY[]a[]G T]Gedcdiyh ]Bu R¾h |«D¶ to[eg] V R>QEYfQaqv R0QSY$Y « r]'jTcgfoikaºfQa¯]Gwcd]Ga v]BvK[s]GeviyfQtTegfo\ 1' )£ Hl¾£ [l 3cdYqfQc®\nf¤ h joa?cpfQisaeg]GtTikjTaqu+fougujh iyf0cg]Bv²cdjnfQa ]G\'~c|u]GcjQyfQV]GyuB« «(X+Y[]ika?cg]GegaqfQ eg]GtTikjTaqu+fougujh iyf0cg]Bv²cdj²fQa]G\'~c|u]Gc(jQsfo ]Bsu(foed]¬cdYq]Gav] jTed\']@v²cgj²feg]GtTikjTa ed]@vqh ]@vcdj²f'~VjoisaTc·fTu(isa ¶qto[eg4] V R A Y H« [u·¸ is/u Nh jTa[a[]@h cd]@v r[]@fohpY¼Gjoaq]$fougujT~VhGisfQcd]Bv2cdj²f toiso]GanyfQV]GDiyu»hGjoa[aq]Bh cg]Bv
(49) « rº]·cgY? u»jTcgfoikafQa²]G?cg]Gaqv[]Bv²[k]Be8v[isfotoepfQ! \ 1- )£ ¬)£ [,3KudqhpYncgYqf0c ¸ 1- =£ K£ 93 uT d 1 1' )£ ¬)£ [,3 3p]« R h |«q¶qto[egb] V R0f&Y$Y « <
(50)
(51) h 8 h|¦ m N /21UH¸ l 3 p(± ')+ !"$# % h0/21)3Zr54 & )*+,-.
(52) 6 1- )£ Hl¾£ [l 3 X+Yq]¬~qed]B?isjo u+~qfQepfQtTegfo~[Y²+fou+fQa isa joeg\nfQ ~[egjwjQjocgY[]® joskj0(isa[tl~[egjo~VjTudiµcgikjTa½° 7 Å * Å k k¾ Å nom Z #" "5) ) 4?{+!oH)1 8+( W 5¿<¸ 1- =£ K£ 93"'5H 1 o ¡ BS Z1L % ' )(*+( - . (W 01 *2 1' )£ ¬)£ [,3 '5H 1 o =¡ 8H 7( 0y W 2 L ¸ 1' =£ K£ 93 uTd 1 1' Z£ ¬£ [ 3 3 < 2<8 [ v[foa[tosikaqtl]@vto] 1/VA£ 1,3h joaqa[]Bh cd]Bvcgj fo~[~ ]@fQepu+(Y[]Gc a R71/1 3+iyu(ika h sqv]Bv isca R71/ 3p« X+Yq]Ga'cdjjTcgfoika'cgY[]\'jTucKisaTcg[ikcdiso]·viyfQtTegfo\eg]G~[eg]Bud]Ga?cpf0cdisjoar¤cdY[]·vqfQa[tTkisa[t®]BvtT]BuKudY[jT[svnfo~[~V]BfQe . ". . Ì»Ì Ót)ucv6wyx.
(53) K@. H !W O 0(. jTancdYq]]G?cg]GegaqfQq¾fohG]·jQ/61O¸Hl 3prfou»ikc8iyu»v[joa[]ikan¶ to[eg]Mq«w´w hpY2h egiµcg]GegisfuYqjo[yvnV]h jTaqudisv]Bed]@v²fou jTa[]®jQcdY[]wiyuqfo½h egiµcg]Gegisfl\']Ga?cgikjTa[]BvikacgY[]$h jTaqh squdikjTa½« . ? BI'@"BC . ^¬iso]Ba2f/ud] c8jQyfQV]Gy u fQa v²f/ud] c8jQyfQV]Gsk]@vno]BecgishG]Bunr?cdjlvegf¤ foa²] wcd]Baqv]@v²K[s]Ge+viyfQtTegfo\r 8]·aq]G]Bvncdj¶qaqv2fQc»s]BfTu|c8joa[]]Gs]G\']Ga?c+ika 1- £= 3prwiO« ]T«f/ud] c»jo]Bv[to]Bu udqhpYncgYqf0c8cdY[]¬yfQV]Gsk]@v tTegfo~[Y<¸ 1' =£ K£ 93»isu~[sfoaqfQe(foaq"v Nh jTa[a[]Bh cd]@v « Xj'~[egj0o]cdY[]~[yfQa fQegiµc|njofltoepfQ~qY½rw»]®(isk½ u]®cgY[]toepfQ~[Y u
(54) 2¦2fQa v ²¦ ¦Dr[§ m ²¦iyu·cdY[]'h jT\l~qk]Gcd]/tTegfo~[Y¯v]G¶qa[]@v=joa¯§¿o]BecgishG]BuB°qisa ²¦DrV]GT]GegT]Gedcd]Giyu®fov¤{fTh ]Ga?ccdj2]Bo]Bed jocdY[]Be(o]Becg] m ¦ ¦ iyuÈcdYq]h jT\'~[k]Gcd][ik~ fQedcdikcd]tTegfo~[Ynh joa uiyu|cgikaqt$jQDc|8j/viyu {|jTika?c»T]Gedcd]Glud] cgu ¢ £B¥k¥s¥k£ ¦ Tr 5 1 ¢ ¥s¥k¥sA£ 1 ¦ $fQa v2cgY[]]Bv[to]u]Gc ± A£ 1 t*p£ '§ foaqv `®[egfQcdj0u Pw i u»hpY fQepfoh cg]Gegik¼@f0cgikjTa²jQ~[yfQaqfoe8tTegfo~[Yqqu T `®[eg^Tc XU° , ÁwÅ Á nHmY * 5 b5H WHW: #"WH( !o L #: 4(*!6:)! +!o 8W iL+( 6 + 0!W !J# !W N N: 8 W+5 rº]fQsed]@fov< Pwa[j0 cdYqfQcBrik! +T #16 3k | ' 3 m cdYq]$visfotoepfQ\ cgj'v[egf¤iyufÇÈ]Ga[aviyfQtTegfo\ (Y[iyhpY Y fou®f~[sfoaqfQe®eg]G~[eg]Bud]Ga?cpf0cdisjoa R¾h |&« T }(qug K X Y jTe®foaw¤fokq]ljo mT #1- 3 « Q8c®cdY[iyu~[egjo~V]Gedc|vjw]Bu aqjQc(Y[joyvikacgY[]to]Ba[]GepfQ hGfTu]T« `ba¾fTh c(»]®Yqf¤T] @° 7 Å * Å k k¾ Å m U1 ! +" X+W( ) 7!$#C < "!# ª B/ Z1 % 0:W q . bh1 4!$# .*+ . ( >+) # !W4O >+ U Zq * 5
(55) !J# 1' =£ 934WH!<5H WH $!y!$# ´[~[~VjTudH] #TV)£ V¤W£ 0£ q£ZI?&£ %Vj£ ,D&£ '£ *% foaqv 7 i ( R71/ 36 #TV)£ V¤W£ ?£ q£ZIT)£ % T£ +,D&£ '£ *% T£ #T £ j£ , T*£ V¤£ I?&£ ' o£ U0£&% W£ * o«X+Yq]Ga +* 1' =£ 93nhGjoam cpfQisaqu+joaqk²jTa[b] NhGjoa[a[]@h cg]Bvsfo ]Bks]BvtoepfQ~qY2(Y[iyhpY isu(,f N N<R¾h |«¶qtoqed] Y « -. . . ". . . . abcd abc. adg. def. beh. dgij. aefg. jEk lUm#]mX8jna[joa~[yfQa fQe/Nh joaqa[]Bh cd]Bv yfQV]Gss]Bv toepfQ~qYquG°qjoa cdYq]/s] c¬f/ " fQa v joa cdYq]/egiktTYTc·f N N N] c(qu(aqj0 ucgf0cg]ujT\l]®eg]Bud[kcgu+joaud] cpu+jQyfQV]Gss]Bvo]BecgishG]Bu+fQaqv N h joaqa[]Bh cd]Bv~[yfQaqfoe+toepfQ~[YquB« Á k ¾k Å 1 0]m
(56) U1 11 -!$#b *+1 +( 1 >+ ,H. ( WH. ( 1 ! c1 > !J) # _B @ )2 ( 1 W4 W 0$ ( yfQV]G viyu {|jTika?cO :R5!1 3 3 R7/1 1 3kv ( yfQV]G ( isaqh sqv]@v 1 O :R5!1 30oR7/1 1,3 @ 7 S W 0$ behi. cfhj. ghi. cfi. 2435 Ò46yÎ877 Î:9 ; Ó <=oÔ|Î>=Î@Û?; Õ@; Î@ÓA; ÛKØBÓ?ÎGÕ 5 ÒgÔB¤ÒgÔ|Û?; Î@Ó/Î86 Õ 5 Ò
(57) =7µØBÓwØ Ô@; ÕOÚÔ|ÒpÛbÑ7 Õ|Û6sÎBÔ4C½Ñ 7 ÒgÔ:D Û4E+; Ô|Ï)7 ÒpÛF=TÔ|ÒgÛbÒpÓ0Õ|Ò:G H ÚI Ò)J ÎBÓ'ØGÓKGML ÔØGÕbÕ4; ÓON IPUL vcwRQTS. ÊOË8ÌÊUÍ.
(58)
(59) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 . KK. 7 Å * Å k k¾Å ]m U1 ȸ<1- £=K£93. + _ ?+!WH)1 8+(b5H WHWq * 5 WH( 5 +< 1 p!J#Cc1 >+ L+ ) o 5 H( +c1 ^c1 '% 1 !J# 5 *+1 ?, 1 (*+(7 '% !$# 8) 1' £=5 3+!o 8W 4q5H .HW * 5 $!y!$# Xj²~[egj0o]®cgYqf0c 1- ·£5 3(isu·a[jQc¬]G\'~c|orV8]$(iks [[isµcfntoepfQ~qY¯¸<1- £=5£Cl 3h joa?cpfQisa[ikaqt ¸<1' £=K£9n3 wfTv[visa[t udqhGhG]Buguiso]Bk cdYq]ºT]Gedcdiyh ]@u²jQ 5 fQaqvudY[j0¹cgYqf0c cdYq]ºhGjoaqucdegqh cgikjTa ]Baqud[ed]@u»cdYqfQciµciyuf N hGjoa[a[]@h cg]Bv~[sfoaqfQe+tTegfo~[Y½« N ] c 1 / 5 -fQaqv%©f¯T]Gedcd] ©jo udqhpY¿cgYqf0c 1,isulyfQV]G ( ikaqhGk v]Bvika «ÈX+Y[]Baik8]fovqv cgY[]2]@vto]:I2 !1 £1,3 cdjº¸<1' £=K£9®3 8]²jo[cgfQisafhN h jTa[a[]Bh cd]@vtoepfQ~[Y 1' £ 14T £ #I 3 (YqishpYisu¬u|cgiksÈ~[yfQaqfoeV]BhBfQqud]$cgY[]'fov[vikcdisjoajQ nI hBfQa[aqjQc¬hGjoa?cdegis[cd]cdjfov[vf N /N joe®f " isa 1' £= 1 ? £ ,UI p3 «68Q /fo[to\']Ga?cgika[tcdYq]udfo\l]8+f¤®cdY[]+toepfQ~qYl¸<1-· ££93 jTe]BfohpY 1 / 5 nr 8]®jocpfQisafQc(cdY[]]Baqvf<N h jTa[a[]@h cd]@v²~[yfQa fQe(toepfQ~qY2joa 5 « -. Å Å ¾  nHm
(60) O1 5 +<11 p!J#, *+1 +(1c1 > !W1 )( 1/ 5 t mT 1-R5!1 3 3 f 0# 1-· £93b bH! 2/5H UB Z1 1-· £5 3q b)! E 2/5H $!y!$# N ] c·ud[~[~VjTud]¬cdYqfQc 1- £=983 hGjoa?cgfoikaqu+f N hGjoa[aq]Bh cg]Bv~[yfQaqfoe8tTegfo~[Y¸<1- £=K£9p3 «. 5 . hGfQaV]~qfQedcdikcdisjoa[]@v2isac|»jnud[qud] cpuG°. 5¢ / 5 t +T #1>R71/ 3 3 fQa v@2isu+yfQV]G (ika h sqv]Bvisa flT]Gedcd] @1Mjo 5 / 5 t +T #1>R71/ 3 3 fQa v@2isu+yfQV]G viyu {|jTika?c(jQÈfQawno]Becg] 1 jo uisa[tº~[egjo~VjTudiµcgikjTa*^[rikC5¢2isula[joc']B\'~c|or8][qikkc²f¯~[yfQa fQe Nh jTa[a[]@h cd]@v¿yfQV]Gsk]@v¿tTegfo~[Y ¸<1' £= @5 ¢ £l 3p« [ucgY[]lo]Gedcdiyh ]@ujo5 lfQeg]$yfQV]G viyu {|jTika?cjo»fQscdY[]o]Gedcdiyh ]@u·jo n rVcdYq]/toepfQ~qY¸<1-· £ 5 ¢ 5 Q£l 3»isu(fl~[yfQa fQepNhGjoa[aq]Bh cg]Bvsfo ]Bks]BvtoepfQ~qY½« 5 -. uisa[t cgY[]²~[eg]Gwisjoqu$hGjoegjossfoedTrD»]n(isk»ed]@u|cgediyh c$jT[epu]BkT]Bu¬cdj=ud] cpu$jo8yfQV]Gsk]@vo]BecgishG]Bu.¹ jTa^. ugf0cgisu wikaqtq° R a4KcYxb VA£ 1 /²r[ikB²iyu+yfQV]G (ikaqhGk v]Bvisa@1 cgY[]Ga<<1$« R a Y+fQaw²o]Becg] ²jo YqfTu+\'joeg]cgYqfQajoaq]sfo ]B ika1R71/ 3p« fqjoe'fud] c -jQyfQV]Gsk]@v¿o]BecgishG]BuludfQcdiyu| wisa[t R a4KcYfoaqv R aY r»]~[egjh ]G]@v¿fou/ jossj0u$cgjºudY[j0 cgYqf0c 1' =£ 93»iyu+a[jQc]B\l~[c|²(Y[]Gca mT #1- 3+¨ ª[° KT«+»]/hpYqj?j?u]f²ud[qud] C c /jQÈo]BecgishG]Bu(jo fQ\'joa[t'cgY[jTud]/ugf0cgisu wika[t 16 3A 193(foaqv[[issv f Nh jTa[a[]Bh cd]@v2~[yfQa fQe+toepfQ~[Y¸ 1' =£ T£ 3»jo a :R¾h Èud]Bh cgikjTaqu ^q« Kfoaqv^q« Y « [«+»]®[[isyvfl~qfoecgiµcgikjTajo 8 ¢ =¥s¥k¥ @ wr !:pmT #16 3p« X+Y[isu(hGjoaqucdegqh cdisjoaisuv[]Bugh egikV]Bvikaud]Bh cdisjoa ^[« ^[« ^q«8 joe ]BfohpY q±dr¤»]8uY[j0©Yqj0cdj¬] wcd]Baqv¸ 1- =£ #D¢¤¥s¥k¥ #q± ¢Q£ ·± ¢ 3 cdj¬jocpfQisa/qf Nh jTa[a[]@h cd]@v ~[sfoaqfQe+tTegfo~[Y <¸ 1' =£ D¢¤¥s¥k¥ q±d£ ± 3p« X+Y[isu+iyu+cgY[]$uq{|]Bh cjQ ud]Bh cdisjoa ^[« q« Um0n , HÅ k ÁÅ . ^¬iso]Ba fQaqv ·r s] c 193 ]cdYq]lud] c¬jQ»ud[qud] cp u
(61) jo udqhpYcgYqf0
(62) c 1
(63) ,3 G 16<3foaqv 1<3 V]²cgY[]ud[qud] cljQ 193® joeg\l]@v©w¯cgY[]2]Bk]B\']Ga?cgu
(64) jQ 193Yqf¤wika[tf\'ika[is\/q\ a?q\/V]Ge/jo T]Gedcdiyh ]@uG« . . . . . . . Ì»Ì Ót)ucv6wyx. . . . .
(65) K¤. H !W O 0(. Á k k¾Å ]m- 1
(66) WH(
(67) lS 16<3ZBb 1HW2 Z11 >+ !J#
(68) )(
(69) lS Z +W( ) !J#q 4 1!# 0W 8+(< 1 q!J#q 1 _)B3
(70) Q£ ¢ ¥s¥k¥ ")(
(71) l# l £¢l ¥s¥k¥ l <&. +T #1>7 R 1/ ± 3 3 mT 1-5 R 1! 3 34)(mT #1>7 R 1/ ±l 3 3
(72) mT 1-R51! l 3 3bO1* S1 :
(73)
(74) l3 #4WH( ! < #m? e ! ½£jb K* ¨1!D£W+T #1>7 R 1/Q ± 3 3kmT 1-5 R 1!±l 3 34WH(CmT #1>7 R 1/ 3 3 mT 1-R51! l 3 3 2<1% 16< 3S b Z4 1 +!W2p5!c1+("1 < Z2 y%* 2< . 2< o 04!J# 16 3 # !W uisa[tlcdYq]$v] ¶qaqiµcgikjTajo \nf0 16< 38fQaqvcgY[]Yw?~VjQcgY[]BudiyubR0a4Kc+Y fQaqv7R0¬ a *8Y jTa 8]®Yqf¤o]T° 7 Å * Å k ¾k Å $-Um c1
(75) / 2 y% 19 3 nHmub _/ Q£e d /X5 R 1! 3S d /1 16 # 3 m 0# l / B3 Z 1 L WL)! ,H1. ` aCe
(76) "£4 1
(77) l 3 "p 16 34)(mT #162l 3pmT 1 3 )! ` ja2e+
(78) " K £b 1l 3" 16
(79) 34WH(+T #162l 3kmT 1 3b)( Cl ¨ UmmT #16 38¨pmT 1' 3 `ba cgY[]$ jTksj0(isa[tqr jTefntTikT]Ga=ud] c·joKsfo ]Bsu. fQa vf²u]Gc·jQKyfQV]Gss]Bv o]BecgishG]Bu) joa ugf0cgisu wikaqt R a4Kc+Y fQaqv7R0¬ a * Y r mKik " 5 isu(f'ud[qud] c(jQ fQaqv@ / 5 r»]¬a[jocd]
(80) 9 1/ 3 d"/X7 R 1/ 3mt b 1 / 5 £1 n V £Zd /X 5R 1!,1 3% foaqvX
(81) 165 3 i :9 9 1/ 3 m v]Ba[jQcg]Bufoa]Bk]B\l]Ba?cjQ \nfQ 19 3p«. Å GB o k¾Å Å '( Å " Á Q Á Æ* ¾ l 0+* , Å UÅ )
(82) Á k k¾ Å n Um 2 4?{+!oH)1 8+( *+5¸<1- £=K£9 3ZBAW7+(1
(83) .I !$# S1 0( ? @ N(ikeged]@vqhGik[s]< #·¸<1' ££ #I 3 S| )! 4 4?+!)) '+( N(ikeged]@vqhGik[s] #¸<1' ££ #I 3 4)! 4?{+!)) '+( @ cgjQcgfoks: Y ?{ !W)Z1 ' (b *+5²< ¸ 1' =£ K£ 93 1W 0(4N+\'isa[ik\nfo #b ] Z,+(1
(84) 4!J## 4?, +(L1 01 N] c(qu8a[jocdiyh ]¬cdYqfQc((Y[]G1 a IiyucgjQcpfQsk: N+ikeged]@vqhGik[s]o r Iiyu+isaqh sqv]@v2isa]Bo]Bed'toepfQ~qY2jQ 1- ·£93 foaq:v R51'I 38hGjoa?cgfoika u(f0c(k]@fouc(joa[]®yfQV]G½jo %(Y[iyhpYiyu+~[eg]Bud]Ga?c(ika jTa[k²c|»j'o]BecgishG]Bu+jo n« 7 Å * Å k k¾ Å ; m Z #rmT #1- 3+¨ ª[£ 1- ·£ 3S 4)! 2/5H $!y!$# N] c8<¸ 1' =£ £ 3 V]4f N(\'ika[is\nfQDfQaq<v Nh jTa[a[]Bh cd]@v'toepfQ~[Y'jQ 1' £ 3p
(85) « r] P?aqj0 w ~qedjT~ j?uikcdisjoancgYqf00c mT 1 38p¨ mT #1- 3p«X+Y[]Ba½r?fTu +T #1- 38¨ ª/»]Y f¤o](cgY[] jTksj0(ikaqt/hGfTu]@uÈcdj hGjoaqudiyv]Ge@° !"
(86) $#&% « 1- ·£ 3 1- ·£ 3K ]@hGfoqu]»]¬a[]B]Bv²fQc8s]BfTu|Ec Vo]BecgishG]BuKcdjl[[issvf$a[jTa ~qsfoaqfQe+toepfQ~qY½« '!"
(87) )(+* «K<¸ 1' £ T£ 3 n «È`Uikc'+fou/cdYq] hBfoud]oFr »jT[yv¿V] N(\'ika[is\nfQ(fQa v foaw2]Bv[to] IjQ 8jo[yv ]$cdjQcpfQsk N(iseged]@vqh is[s]o«[X+Y[]Ba½r fTu Y fo4u K@']BvtT]BuBr[8]\/quc·Yqf¤T] +T #1- 3
(88) ,(YqishpY h jTaTcgegfTviyh cgu8cgY[]Yww~ jocdY[]@uiyuG«
(89) -(/.
(90) « r]Y f¤o] mT #1-
(91) 16 3 3 10$fQaq_v +T #1- 3 32q«TX+Y[]Ba ¿h jTa?cgfQisaquÈjTa[]jTeKc|8j yfQV]Gyu+(Y[iyhpYvj'a[jQc(V]Gsjoa[t'cg{j 1 3p« Um. . . . . . . . ". ". ". ". . . ÊOË8ÌÊUÍ.
(92) K@^.
(93) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 . `U" # 1 3 Ud TrocdY[]B@a ¬h jTaquiyucguKisaf/~qf0cgY{|joisa[isa[tcdY[]o]Gedcdiyh ]@uY f¤?isa[t2d½ika²cdY[]Bike(ud] c»jo yfQV]GyuB«[X+Y[]Ga=¸<1- ·£o£ 3»iyu+~[yfQaqfoeB« `Uu 1 3 dbZ£ d>l ?°Gcgj¬q[ikyv/qf NhGjoa[aq]Bh cg]Bv/toepfQ~[Y$jTaudiµ$T]Gedcdiyh ]@uhGjoa[a[]@h cgika[tc|8j·yfQV]GyuGr 8]®a[]G]@vk]@udu8cgYqfQa KBl]@vto]@qu R¾»](issu]B]®ika¶qtT[ed] K¤rwcdY f0cjoaqk"V]@vto]@u(fQeg]¬aq]Bh ]@udugfQegY «X+Y[]Ba udqhpYtoepfQ~[YhGfoa[a[jQchGjoa?cgfoika fQaw/ N N¬joe «
(94) ( « [· u 6
(95) 16 3 Ud ?r h jTaqudisucguikaf$~qfQcdY${|jTikaqika[t/cdY[]o]BecgishG]Bu»Yqf¤wika[t d isa cgY[]Giseud] cjQ sfo ]BsuB« -. Um / Á k¾ Å Å *¤ k k¾ Å %Å Á k k¾ Å nonHm h1 2<1 !J# 2<1% 1693qWH(L '%: !J# B + 1/V£ 3 Z"11 !J#:11 0 5 !J# L+ 0 { ?{ !W)Z1 '*1 '! 5 U1 61/V£ 3 + Z 1 !J# 1/V£ 3EO! S1 12 1 3 E2 2< o2 +1p!J#0 >+ /1 (5W 0! o£ ¢ =£ o£G¥s¥k=£ !J# O1 + + ± £ * h , (>H+( ?4 ± Ft e+5 /
(96) 1! =£ 3WH( . . ". . +T #165 3J*% d aq]/uY fQsa[jocdiyh ]cgYqf0c¬Y?w~VjQcgY[]Budisu,R0aK6Y(jTa is\l~qkis]Bu·cdYqfQcD¢iyu]B\l~[c|o«uQ»]G joeg]] wcd]Baqvisa[t¸ (ikcdYcgY[] q ±dr[8]®(iks½toiso]¬to]Ba[]GepfQDeg]Bud[kcgu+joacgY[] q± ± « 1/V£ 3)B Z1 ' Á ¿ nHm 0## / ¦ WH(< #5 ¦ 1 ¢ £G¥s¥s¥ 1 ¦ : W71 2<1 E!J# mT #1>7 R 1/ 3 3 § )(
(97) 7 R 1/ 3 d ¢ ¥s¥ d ¦ : 3 B3&. 3 op 165 ¦ 3H(2d ± /c 9 1/1 ± 3 $!y!$# [ un isu+isa ¦ r+n iyu-N (h joaqa[]Bh cgfQqk]cdj 5 ¦ «[X+Y[]Geg] jTed]TrTikcgY[]Geg]+fou1 ± isa 5 ¦ udqhpY²cgYqf0c R71/ 3 3 9 1/(1 ± 3J[v rBcgY[]Ga ® »jT[sv/ ]N (hGjoa[a[]@h cpfQ[s]KcgjC 5 ¦ (1 ± 8foaqv 5 ¦ / 1/V £ 3p«. . . . . . . . . -.. ' Á ¿ m 0#rmT #16 3J+T #1- 3 7 H(2mT 1' 3 Z1 < $!y!$# rº]4Pwa[j0 cdYqfQc$ 1 3JmT #16 3 «VX+Y[]Ba½r fTumT 1 3AmT 1' 3!7 /foaqv ugf0cgisu¶q]Bu R aY r+]BfThpY o]Gedcd]G jo iyuudqhpY cgYqf0c1R71/ 3 ( 1/ 3 d Tr»(iµcgYAd1/ # 1 32fQa v +T #1- ( 1! 3 3 o«V`U lx/ ru7 R 1/l 3·h jTa?cgfQisaquf0c®k]@fouc·c|8j2yfQV]Gyu$d ¢/fQaqv d V]Gsjoa[tTikaqt²cdj 1 3¬(ikcdY d ¢:/p5 R 1!T ¢ 3 r d /5 R 1! 3®foaqv T ¢0£A o « X+Y[]Ga½riµmT 1 3 Or cgY[]2ud] c/jo T]Gedcdiyh ]@u#5 16 T ¢@£ 3 2 l $h jTaTcgegfTviyh cgu8~[egjo~VjTudikcdisjoa RO*Y « -. 7 Å * Å k k¾Å ]m | 9 ` a 0# q ¦ ¦ S)! 2/5H < b _/ ¦D£b 5 ¦:/ 1/V £ 3p£§ ' 3 m L ` ja2U 1 / ¦ | ¥0#e:1 9 / 5 | ' ¦D3£ m &9 Z_ R 1/1 343 1¯ 5 ¦3 3 +TN #1>7 ' 3 m L Z12§ $!y!$# N] c#n ]®fo]Gedcd]GnjQB ¦ foaqv@5 ¦ 1/V£ 3 1 ¢ £G¥s¥k¥ 1 ¦ ® ]®fQa]Gs]G\']Ga?c(jQ 1/V£ 3p« rº]bPwa[j0 egjo\ k]B\l\nf K¬cdYqfQc Ud ¢ ¥k¥ d ¦ 2" 7 R 1/ 3»(iµcgY d ± /X 9 1/1 ± 3p« N] cH ul 1/V £5 ¦ 3( ]lf2ud] c·joKsfo ]Bsu¬v] ¶ a[]Bvw1 ul 1! £=5 ¦ 3
(98) 165 ¦ 3A d ¢ ¥s¥ d ¦ 'fQaqvc 3 165 ¦ 3 165 ¦ 3A6
(99) 165 ¦ 3p«rº]$hGfoaeg]G\nfQe P'cdY f0cB° mÈ jTe0(1 ± / ¯5 ¦Dr[8]hGfoa[a[jQc(Yqf¤T]uis\/[kcgfoa[]GjTqudk mT #1- 3 165 ¦#3437R 1/(1 ± 3 3,nfoaqv. . . . . Ì»Ì Ót)ucv6wyx. .
(100) KB. H !W O 0(. +T #1- 9 1/1 ± 3A d ± 3 ,[r[udisaqh ]
(101) mT 1-R51!1 ± 3 3 D« mx 165 ¦ 3 d ¢ £B¥k¥s¥k£)d ¦ : ul 1/V£5 ¦ 3 : 3 165 ¦ 3p« [ u,Ud ¢ £G¥s¥k¥s£Zd ¦ ?£W l 1! £=5 ¦ 38fQaqvX 3 15 ¦ 38fQeg]®v[isu¾{|joisa?cBr8]¬Y f¤o] +T #1- 165#¦ 3 3§ 5 mT #1- ul 1/V£5¦#3 35mT 1' 3 165¦3 3 « X+Yq]Ga½rcgj'~[edj0T]~qedjT~ j?uikcdisjoa 8]$h jTaqudisv]Be8c|»jnhGfTu]@uG° Ã6noÃ(ik b 1(!± / 5¦DW£ 9 1/1(± 3A dy± fn v$cgY[]Gca mT #1- 15¯¦ 3 3
(102) §_5mT 1' ul 15¯¦ 3 3
(103) D0§ Ã Ã(ik4 e 1 / 5¦DrquG« cB« 9 1/1 3 d fv« N] c
(104) V£ 5¦ 1 Ty« r]»Yqf¤o4] 1
(105) ,3'k 165¦ 3 foaq v mT #1
(106) ,3kmT 15¯¦#3 «6[uB5¦®iyufud[qud] c joB ·cgY[]Gawn~[egjo~VjTudiµcgikjTa²qrw8]\qu|c+Yqf¤T]o° mT #1>R71/1 3 3
(107) mT 1-R51! 3 3 §È«[X+YwquBr? edjT\ cdY[] Yww~VjQcdYq]Budisu+jT@a 1 wr R71/1 3K\quc·h joa?cpfQisafQc+s]BfTu|4c 1 :§ 7# 3»yfQV]Gyu(viyu|cgika h c( egjo \ d ¢ £G¥s¥s¥k)£ d ¦ T« N] c £ 1 T«0KikcdY[]Bxe 1 3J 165 ¦ 3 fQaqv6 § k[r0jo4e 1 3 o 165 ¦ 3profoaqv rQfTu mT #1- 1 3 3
(108) Q: § 7#or8]®\/qucYqf¤T] R f Y ° mT #1- 165 ¦ 3 3 Q§È« 5 ¦ hBfQa[a[joc hGjoa?cgfoika$\'jTed]ÈcgYqf0cjoaq]o]Becg] 2 1 udqhpYcgYqf0!c R71/1,3" 1 3pr@cdj¬udfQcdiyu| ¬cgY[]»\'isa[is\'fokikc| Yww~VjQcdYq]BudisuÈjTa 5 ¦ «TX+YwquBrTf0c8k]@fouxc mT 15 ¦ 3 71¬o]BecgishG]BuÈjo 5 ¦ hGjoa?cgfoika'joaq]sfo ]BqjTe\'joeg](a[jQc isa NR¾Az Y «qX+Yq]Ga »]®Yqf¤T]'° +T #1- 165 ¦ 3 3
(109) mT 15 ¦ 3 7^5mT 1' 1 3 3
(110) mT 15 ¦ 3"7^5 1'Q: § 7# 3 ¥ -. uisa[t'~[egjo~VjTudiµcgikjTa 8]®Yqf¤o]T° Å Å ¾  m 0 #0§ mT #1- 34 Z1@ ¦ 412/5H . . . . . . . . . Å GB o k¾Å Å '( Å " Á Q Á Æ* ¾ l 0+* , Ä , Á )
(111) & N] c»¸ 1- ·£ Q£ 3 f®~[yfQa fQe&NhGjoa[a[]@h cg]BvtoepfQ~[Y½«QXj] wcg]Gaqvn¸+(ikcdY'cdYq](o]Gedcdiyh ]@ujQ ± (ikcdY * Tr»](isk u]®cgY[]® joskj0(isa[tled]B\nfQe PV° 2< N½]G#c fu]GcjQ½yfQV]Gsk]@vno]BecgishG]BuBr 5f$ud[qud] c8jQ foaqv²< ¸ 1- ·£ 5£ 93È,f Nh jTa[a[]@h cd]@v yfQV]Gss]Bv²tTegfo~[Y½«T`Uf/T]Gedcd]G njo 5 iyu NhGjoa[a[]@h cpfQ[s]cgjflu[ u]G#c 5 lVjQB 5 r?cgY[]Ga2cdY[]®u]Gc8jo ]@vto]@#u l 1/VA£ 1 l 3+t 1 l / 5 l iyu(u hpY2cgYqf0c·<¸ 1- ·£ 5 ?£ l 3»iyu(f Nh jTa[a[]Bh cd]@v²yfQV]Gsk]@v tTegfo~[Y½« Um -. . . 7 Å * Á ¤ k¾Á Å , ÁLk> Á ¤ k Å Å Á ¤ k Á Å . ' Á ¿ U m
(112) O ¸ 1- ·£Q£ 3 + 4? !W)Z1 ' (5) )< W+5 )( . 2< o !J# 0# 1/V £ 3
(113) +! ' b 1 -!$#$c1 >+ )5 1 ¢ £1 <L+ 1!1 ¢ £1 3q 4 +(y ,!J#06B Z1 + 7+ 11 8+(< ¸ 1' £Q£ 3SO .C+85)
(114) 45H .HW H( 4?{+!oH) 6 $!y!$# X+Yq]Èikaqud]Gedcdisjoa®jo ¬h eg]BfQcd]Bu f+~ f0cdY 1/ 3 1/1 ¢ £ 3 £ 1! £1 3: Tr ~qfoegfoks]GQcdj+cdYq]K]BvtT] 1/1 ¢ £A1 3 joB T«[`UK¸ 1' £ Q£ 3»isu+~[yfQa fQe+cdYq]Ga=¸<1-· £ 6 # T£ 2 1! 3: 3isu~[sfoaqfQe@« -. Å Å ¾ Â Um
(115) O1 V¸ 1- £= £ 3p+q. 4?+!oH) '+(-5) ) * 5 0# mT #16 3 : "W Z 1 >+ 4!$# + 4 11 8+(< ¸ 1' £= £ 3SO .C +85)
(116) 45H .HW H({ 4?+ !oH) 6 . . ÊOË8ÌÊUÍ.
(117)
(118) "!$#&% ' )(*+(,- . / 01 *2,3# !4657 8!:9<;)1 . KcV. $!y!$# `UHmT 1 3: q r cdY[]hGjo\'~[s] cd]toepfQ~qY | ' 3 m ( joa$isu'~qsfoaqfQe'fQaqv NhGjoa[aq]Bh cg]Bv « X+YwquBr quisa[tk]B\l\nfº^[rfQscgY[]o]Gedcdiyh ]@u jo hGfoa¿V]isaqud]Gedcd]Bv¿ika iµc'(iµcgY[jo[cl[eg]Bf*Pwika[t¯cdY[] ~qsfoaqfQegiµc|'fQa v'cdY[]qNhGjoa[a[]@h cgikwikc|o«[u8¸ 1- ·£Q£ 3Èisu8f/ud[[tTegfo~[YnjQ | ' 3m ( rTikcgu»] wcd]BaqudikjTa iyu(fQyudj'f'ud[[tTegfo~[Y2jocgY[]] wcd]BaqudikjTajo+ | ' 3 m ( « X+YwquBrik)l ; 1! 3+t p/ fQaqv 1! 39; 1/1·¢Q£A 3p£ 1/V£A1 3: (iµcgY5 1·¢0£1 s/ 61/V£ 3: Tr cgY[]toepfQ~qY¸<1- ·£ £ Cl 3»iyu+~[yfQaqfoefQaqv NhGjoa[aq]Bh cg]Bv « -. Å Å ¾ Â%-Om 0# SL mT #16 3J B3 1- ·£ 3b S)! E 2/5H p# !W C 7 Å * Á ¤ k¾Á Å , ÁLk> Á ¤ k Å Å Á ¤ k Á Å . ' Á ¿ -Om
(119) O ¸ 1' £= £ 3/+q. ?+!WH)1 8+(5H WH- W+5 Z# N +! ' / ' % L ZW & q 5 N 1·¢0£A1 £1 N
(120) / 1! £= 3& ZC+T #1- 165 N 3 3»¨BO Z1 W ) $c1 >+ &l !J# N L 45 N / 21!l £ 3.+ +/ 1 '+(4 n¸ O '5H 35H WH WH( ZH 4?{+ !oH)1 6 !W¸ $!y!$# N] c fQaqv ½l V]c|»j²v[isucdisaqh co]Gedcdiyh ]@u+jQ N fougujhGisfQcd]Bv2cdj 5 N «or]$¶qegucisaqu]Bec ika=¸ N w2fTv[visa[tlcdY[eg]G]®]@vto]@u 1/V £A·1 ¢ 3 £ 1! £1 3 £ 1/V £A1 N 3p« Ã6noÃ/´wq~[~ j?u]'cgYqf0cb (1 ±$/5 N r" 9 1!+1 ± 3A 5R 1! 3: n v «X+Yq]Ga b (1 ±$/5 N £WmT 1-R51!1(± 3 3 fQa v R 1/(1 ± 3/
(121) 165 N 3 «VXj2ugf0cgisu 2cgY[]/Yww~VjQcdYq]Budisu·joa 5 N rV»]/\/qucYqf¤T]mT 1' 1 £l 3 3·¨«H[·u 7 +T #1>7 R 1/ 3 3 2fQaqv +T #1>7 R 1/l 3 ²fQaqv fQa v l fQeg]$viyu|cgika h cBr 7 R 1/l 3(Yqfou·] [foh cdsjTa[]$yfQV]G d l aqjQc+ika 7 R 1/ 3p«N] c+1 ±x/5 N uG« cB« d l /:7 R 1/(1 ± 3p«X+Y[]Ga@ l iyuNh jTa[a[]@h cgfo[s](cdj V £A(1 ± ®fQaqv2hGfQa ] isaqud]Gedcd]@vnika ¸·wnh eg]BfQcdisa[tf/~qf0cgY 1! £l £A1 ± 3È~qfoegfoks]G cdj/cdY[]¬]Bv[to] 1! £1 ± 3/R¾h |«?¶qto[eg]® 4[Y «wX+Yqisu. . . . jT~ ]BegfQcdisjoak]@fov[u8cgj²f~qsfoaqfQeENhGjoa[aq]Bh cg]BvtoepfQ~[Y« A. wi. B. v’ wk. v. wi. wj wk. v’. C v wj w k. wi F v. v’ wj. v". jEk lUm m`baqu]BecgikjTa²jQ4'fQa v lVT]Gedcdiyh ]BujQ N « [$° lVYqfoujoa[]sfo ]Bud>lqa[joc»isaR71/ 3KfoaqvnV]Gsjoa[tTikaqt cgj R71/1(± 3 « Q¬° foaqv l·Yqf¤T]joa[]¯sfo ]B·isa h jT\l\'jTa ]BkjTa[toisa[t©cgj R51!1 3p« ° %fQaqvl¬fQeg] yfQV]G viyu {|jTika?cfQa v l lfQa v l Yqf¤T]¬fQck]@fouc+jTa[]®sfo ]B½isa hGjo\'\'joa½« à ò´w[~q~ j?u]cdY f0:c e:1 / 5 NTrKuG« cB«4 9 1/1 3UR71/ 3 v[«KX+Y[]Ga$¿fQa v%l+Yqf¤o]cdYq]yfQV]G(jo 9 1/1 343 R71/ 38ika h jT\'\ljTa½«[X+Ywqu#l isuENh jTa[a[]Bh cgfo[k]¬cgj 165 N 1 3»foaqv l½hBfQa ] isaqud]Gedcd]@v=joa¯cdY[]']@vto0] 1/1 T£ 3fQa vhGjoa[a[]@h cg]BvcgjcdY[]'o]BecgishG]Bu 1 ± jQ 5 N'(iµcgY * n w=fov[v[ika[t cgY[]]Bv[to]Bu 1!l A£ 1 ± 3qR¾h |«[¶qtT[ed]$2 QEY «qX+Y[]eg]Bud[kcdisa[t'toepfQ~[Yisu~[sfoaqfQe(foaqv Nh jTa[a[]@h cd]@v « -. uisa[tnf'uis\'ikyfQe(eg]BfTujTa[isa[t/cgYqfQa joe+cgY[]$h jTedjTkyfQeg ^qr»]®Yqf¤T]o° Å Å ¾ $ ;]m
Documents relatifs
À cet effet, un nombre considérable de recherches démontre cliniquement que les enfants de parents souffrant de problème de santé mentale sont plus à risque d’un retard dans leur
usual route to school and provide us with some details about their travel routine (e.g., schedule, mode of transportation, people accompanying them, etc.); 3) recent interventions
La question de l’extension des limites de Paris jusqu’à cette ligne avait été discutée mais ne fut tranchée que par un décret impérial du 9 janvier 1859 qui décidait de
C'est aussi le résidant pas chez leurs parents fréquentent deux fois parativement à la province, les étudiants de Nanterre ne lement ce moindre attachement à la ville
In this paper, we study the performance of an enhanced channel estimation technique combining estimation using an autocorrelation based method and the Expectation-
Selon Laeven et Valencia (2012) , le coût budgétaire de la crise bancaire s’est respectivement élevé à 44 et 41 points de PIB en Islande et en Irlande, ce qui place ces deux
Dans ce travail, nous comparerons les entreprises coopératives, détenues par leurs membres, dont le produit risqué est la ressource critique apportée et dont l’objectif est
