• Keine Ergebnisse gefunden

A Time Hierarchy for Bounded One-Way Cellular Automata

N/A
N/A
Info
Herunterladen
Protected

Academic year: 2021

Aktie "A Time Hierarchy for Bounded One-Way Cellular Automata"

Copied!
14
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Jetzt herunterladen ( 14 Seite )

Volltext

(1)      

(2)      . _a`cbedgfhdgijd kinl m _<`okqprmosutvdgfLw. x y zP{  | z } ~ €

(3) €‚ rƒ „. „†ˆ‡ˆ‰„}‰ Š ‡Œ‹Ž ‚  }no†g x †‘‘ { ’ “n”–•˜—I™Pšœ›žrŸ$™¡ ”. ¢ˆš<—¤£3 ”~r¥e£3—? 6¦. §©¨ª§L«­¬¯®<°¤®X±D²´³œµ¶¬¯®X·a¸¹²Pº¼»¾½8»¾½ ¿*±DÀÂÁD±D²ÄÃuÅP»*»¾½   "!# $&%"!('*)$ + ., -0/213 4564 78!(9:!&)"564<; =?>A@B"@:C:;D13 4EF40GH1I4!('*)"$J KL4M NPOPQ"C>ARQTS6>C:C>@:;.S$QTS U:)6VWN0OPQ"C>ARQTS6>C:C>@:;.S$Q"C 'X): M Y3 $Z%:!('X)6 +.[ ": >A\. 4EF40[ 9"4 ]^]^] [  $&%"!('*)$ +.[ ": >A\. 4EF40[ 9.4. ƯicbedginbeÇXȶfLÉËÊÌfÎÍnÇ ÏÐ`of©ÑÒÉÓmob–fHd tnl d Ô fLÉËÕ ÉÓ`.

(4) .  

(5)   . §©¨ª§L«­¬¯®<°¤®X±D²´³œµ¶¬¯®X·a¸¹²Pº¼»¾½8»¾½–¿*±DÀDÁ±D²ÃuÅP»*»¾½. #. prin`%$rÉ&$.  '. . f sÉ ÐfLÉÓmžtcm  ! " kqprm `nÉ Ç( t)" * &É +,+ i-+ tcm  ijdopsutvdqt. o“ ”–•˜—?™Pšœ›žrŸ6™P $” ¢‘š<—¤£3 ” r¥e£3—? 6¦ . / ”–›Î£3 6£3¥e£?™1032 / ”240´—65ša£3 87ě:9<;o”– >=¾™Ä—3›I E£@?A0B2DCr 6™P›I›¤™P” “g—?”–•e£^›Î£? — EGFH9JILKNMPOQM3RPFSCr 6™P›I›¤™¡T” 9Cn™ÄU— 5 šœP” ? VDWYX[Z]\N^:_`ZbaJcd:e`fhghi>jlkbmonopqg[p,kbnoghi>r<e]stfhg[uvuvmouvexwPuye`nqzbmoexz`gGe`f{fhg{do|}k`w~€>T‚„ƒ 3exw†gG‡vnUˆ`g[~}|4‡‰zxi xe |}g[pŠP‹JŒog<kbn:u‰s‡vn:f{uvmo~4‡‰kbnnqk]rGnt|}kTjlg~4|}w†‡vfh|P‡vn|4Œqg[‡‰wŽ|4‡vg„Œo‡‰g{w†exwf†ŒUs‘’w4kbAw4g[e`u“i>|4‡yg„|}k gh”d•kbnog[n6|4‡ve`u‰i>|4‡vgŽ‡v~Yjlg{|–r<g{g[nw4g[e`u“i>|4‡vg<e`nopuv‡vnqg[exw}i>|4‡yg`—™˜g„~4ŒqkNr%|4Œqg<~4mqw4d:w†‡v~4‡vnoz<w†g[~4mou‰| |4Œoex|š|4Œqg{w†ggh”‡v~4|4~še`nL‡vnq›:n:‡‰|}gŒo‡vg{w†exw†f†ŒUsœk`‘<dow4k`dlg{w†uvs‡vnof{uvmopog[p T‚„ƒJi–uve`nozbmoexz`g‘’e`)‡vuv‡‰g[~ ‡vnž|4Œoex|<w†e`nqz`g`ŠŽƒŸz`g[nog{w†e`uv‡‰ [ex|4‡‰kbnžk`‘Yeg{|4Œqkpžk`‘Y‹Yg{w4w†‡‰g{w‡v~<~4Œqk]r n)|4Œoex|dow†k]ˆ‡vpqg[~<e|}kkbu ‘’k`wŽdow4kNˆ‡ynqzT|4Œoex|Žuye`nqzbmoexz`g[~<exw4g nqk`|He`f{fhg{do|4exj:u‰gjUs)T‚„ƒG~HrG‡‰|4Œt~4)e`uvu|4‡vgJjlkbmon:po~{Š3¡Hs ~4mofŒetuve`nozbmoexz`ge`nop&e|}we`no~4uvex|4‡‰kbn¢w†g[~4mou‰|„|4ŒqgTŒ:‡‰g{w†exw†fŒo‡‰g[~„exw4gTg[~4|4exj:uv‡v~4Œog[pŠ £¤¦¥§YW¨[©_`Z&£ª’^oX]X]«­¬B_b^oZN«’® ¯±°{²U³ ³:´lµN¶Ž·<Šv¸x¹:·<Š»ºqŠ½¼¹•¡Š½¾Šv¸x¹ ¿GŠ»º. À ¿Ái–te`‡yu¶3mq|}w‡‰j•Ã ‡vno‘­k`w†)ex|4‡‰ ŠÄm:no‡“i>zb‡‰g[~4~4g[nŠÄpqg f ÆxÈ`È ¸jsD|4ŒqgTe`mq|4Œqk`w†~ ‚<k`dsw†‡‰zbŒU| ÅÇ.

(6)  

(7)    y‡ nqg[exwexw4we[s~Tk`‘J‡vnU|}g{w†e`fh|4‡vnqz ›:no‡‰|}gte`mo|}kbtex|4e exw4g)kpqg[uv~‘­k`wte`~4~4‡‰ˆ`g[uvs d exw†e`uvu‰g[u uve`nqzbm:exz`g e`f{fhg{do|}k`w†~[ŠS‹JŒqg[‡‰w)e`poˆ@e`nU|4exz`g[~&exw4gœ~4‡yd:uv‡vf{‡v|–s%e`n:p mono‡v‘­k`w†)‡‰|–s`Š |žŒoe`~ |4mqw†nog[pkbmq|B|4Œoex|Áeuvexw4z`gexw4w†e[sk`‘:nqk`|Bˆ`g{w4sdlkNrHg{w4‘ mou6dow4kfhg[~4~4‡vnqz g[u‰g[g[nU|4~Bk`d•g{wex|4‡vnqz ‡vn¢d:exwe`uvu‰g[uf{e`n&jlgšdow4k`z`we`tg[p&|}ktjlgšˆ`g{w4sDdlk]r<g{w4‘ mouŠ  nqg| sUdlgk`‘„~}s~}|}g[ ‡v~ k`‘d:exw†|4‡vf{mouvexwš‡vnU|}g{w4g[~}|{¶T|4Œogtfhg[uvuvmouvexwTe`mo|}kbtex|4erGŒokb~}gtŒqkxi k`z`g[nqg{kbm:~4u‰s)‡vnU|}g{w†fhkbnonog[fh|}g[pDpog{|}g{w†t‡vno‡y~}|4‡vf›:no‡v|}g e`mq|}kbtex|4e&€’|4Œqg fhg[uvuv~ Ár<k`w4t~}sni f†Œow4kbnqkbmo~4uvs ex|3po‡v~†fhw4g{|}gŽ|4‡vtgH~}|}g{d:~Yk`jlg{s‡ynqzGkbnqg<fhkbtkbn|}w†e`no~†‡‰|4‡‰kbnT‘ monofh|4‡vkbnŠ g{w4g r<gžexw4g¢‡vnU|}g{w4g[~}|}g[p-‡vnLe ˆ`g{w4sL~4‡vd u‰g|–sdlg)k`‘Jfhg[uvuvm:uvexwe`mq|}kbtex|4eŠ ‹JŒqgžexw4w†e[s~,exw4g w4g[e`u“i–~4d:e`fhgGjlkbmonopog[p¹b‡ÂŠ»g`Š‰¹|4Œqg nmoj•g{wŽk`‘™fhg[uvuv~P‡v~Žjlkbmonopqg[p,js,|4Œqg nmoj•g{wŽk`‘™‡vnqd:mq| ~}sjlkbuv~[¹Ue`nop)g[e`f†Œ¢fhg[uvu•‡v~Žfhkbnonog[fh|}g[pž|}k,‡‰|4~H‡vtg[po‡yex|}g nqg[‡‰zbŒUjlk`wP|}k|4ŒqgGw†‡vzbŒ6|Hkbnou‰s`Š  mqgT|}kž|4Œqgšw4g[~4mouv|4‡vnqz‡vnq‘’k`w†tex|4‡‰kbn:k]r ‘’w4kb w‡‰zbŒ6|G|}k)u‰g{‘’|G~4mofŒpqg{ˆ‡vfhg[~Gexw4gf{e`uvu‰g[p kbnqghi>re[sfhg[uvuymouvexwJe`mq|}kbtex|4e €>T‚ƒš Š8‘B|4Œqgfhg[uvuv~Gexw4gfhkbnonqg[fh|}g[pœ|}k)|4Œqg[‡vwJjlk`|4Œ‡v,i g[po‡yex|}g)nqg[‡‰zbŒUjlk`w†~š|4ŒqgD‡vnq‘’k`w†tex|4‡‰kbnokNr jlg[fhkbg[~|–r<kxi>r<e]s%e`nop |4Œqg)pqg{ˆ‡vfhg)‡y~e €’|–r<kxi>re[so Gfhg[uyuvmouvexw„e`mq|}kbtex|}kbn €>‚ƒš Š ƒu‰|4ŒqkbmqzbŒ d:exwe`uvu‰g[u3uve`nqzbmoexz`g)w4g[fhk`zbno‡‰|4‡‰kbn js1€>T }‚ƒ ~šŒoe`~šjlg{g[nL~}|4m:po‡‰g[p ‘­k`wk`w4g |4Œoe`n&emoexw4|}g{w„k`‘3e,fhg[n6|4mqw†sD~}kbtgT‡vdlk`w4|4e`nU| mqg[~}|4‡‰kbn:~„exw4gš~}|4‡vuvu•k`dlg[nŠ!8n¢d exw4|4‡vf i mouvexw]¹bkbnou‰suv‡‰|}|4uvgJ‡v~Ánqk]rGn)k`‘dow4k`dlg{wŽ‡vn:f{uvmo~4‡‰kbn:~B‡yn|4ŒqgJ|4‡vtgGŒo‡‰g{w†exwf†ŒUs`Š"kb~}|Hk`‘|4Œqg g[exw†u‰s&uve`nozbmoexz`g[~nqkNrGnœnok`|G|}k)jlgw4g[e`u“i>|4‡vgj:mq|Guv‡ynqg[exw}i>|4‡vg,T‚ƒ„i–uye`nqzbmoexz`g[~ exw4g pomqg|}kž|4Œog‘ e`fh| |4Œoex| g{ˆ`g{w†s monoexw†sDw†g[e`u“i>|4‡vgtT‚ƒJi–uve`nqzbmoexz`g‡v~ w4g{zbmouvexw# º%$>Š&8n'#)(*$ e`nop+#“¸ È $ eLg{|4Œqkp Œoe`~tj•g{g[n ~4Œqk]r n1|4Œoex|)e`uvuvk]rG~d:w4kUk`‘ ~k`‘šnqkbni–e`f{fhg{d:|4e`nofhgœ‘’k`w nqkbni–m:noexw4suve`nqzbm:exz`g[~š‡vnœw†g[e`u“i>|4‡vgtT‚ƒ~{Š-,G|4‡yuv‡‰ [‡vnqz)|4Œqg[~}g‡vpqg[e`~|4Œqgnqkbni–f{uvkb~4mqw4g k`‘3w4g[e`u“i>|4‡vtgT‚ƒ„i–uye`nqzbmoexz`g[~Gm:nopqg{wJfhkbnof{ex|}g[noex|4‡vkbn fhkbmouyp¢j•gT~†Œqk]rGn™Š c‡vn:fhgP‘­k`wB~}g{d:exw†ex|4‡ynqzG|4Œqg<fhkbd:u‰gh”q‡‰| s f{uye`~4~}g[~B‡vn mqg[~}|4‡‰kbn|4Œqg{w4gHexw†gHnqk k`|4Œqg{wYz`g[nog{w†e`u e`u‰z`g{jowe`‡vfžtg{|4Œqkp:~e]ˆ@e`‡vuyexj:u‰g`¹Á~}dlg[f{‡‰›:fžuve`nqzbmoexz`g[~,e`~dlk`|}g[n6|4‡ve`u<f{e`nopo‡ypoex|}g[~,exw4gžk`‘ d:exw4|4‡yf{mouvexw„‡vnU|}g{w4g[~}|{Š. n/#)0*$Q~}g{ˆ`g{w†e`udlkb~4‡v|4‡‰ˆ`g w†g[~4mou‰|4~„Œoe]ˆ`gTjlg{g[nDdow4g[~}g[nU|}g[pŠ<cmow4dow†‡v~}i ‡vnqzbuvs`¹@~}k ‘’exwB|4Œqg{w4gHr<e`~BkbnouvskbnogH‡vnof{uymo~4‡‰kbn nqk]r n|}k j•g<~}|}w†‡vfh|B‡vnš|4Œqg<|4‡vgHŒo‡‰g{w†exw†fŒ6s ‘’w4kb w4g[e`u‰i>|4‡vgt|}k gh”dlkbnqg[nU|4‡ve`u“i>|4‡vtg`Š18|‡v~T|4Œqgž‡vn:f{uvmo~4‡‰kbn jlg{|–r<g{g[n%w4g[e`u“i>|4‡vgDe`nop uv‡vnog[exw}i>|4‡vg¢uve`nqzbmoexz`g[~[Š2 n3# Æ $J|4Œqg&gh”q‡v~}|}g[n:fhg&k`‘enqkbnqi>w4g[e`u“i>|4‡vg ‚ƒ„i–uve`nozbmoexz`g |4Œoex|‡v~e`f{fhg{do|4exj u‰gD‡yn5476 u‰k`z €84Q –i>|4‡vtgžŒoe`~j•g{g[n dow4kNˆ`g[p%s‡‰g[uvp:‡vnqz&eœu‰kNrHg{w,mqdodlg{w jlkbmonop ‘­k`w|4Œqg&~}|}w†‡vfh|‡vnof{uvm:~4‡‰kbnŠƒnqk`|4Œqg{w,ˆxe`uvmoexj:u‰gž|}kUkbu<‘’k`wgh”d:u‰k`w‡vnqz|4ŒqgT‚ƒ |4‡vgŒo‡‰g{w†exwf†ŒUs‡v~G|4Œogdlkb~4~4‡vj:u‰gTuv‡vnog[exwG~}dlg{g[pi–mqd'#:9;$B‘’w4kb<416>=q€84Q J|}k?4?6>@&A;=q€84Q ‘’k`wB@DC È Š ‹JŒqg te`‡vn fhkbnU|}w†‡‰j mq|4‡‰kbn k`‘š|4Œog dow†g[~}g[n6|žd:exdlg{wž‡v~)|}k-~†Œqk]r |4Œoex|ž|4Œog{w4gœgh”q‡v~}|4~De`n ‡vnq› no‡‰|}g,|4‡vg)Œ:‡‰g{w†exw†fŒ6s k`‘„dow4k`dlg{w†uvs ‡vnof{uymopqg[puve`nqzbm:exz`g)‘ e`t‡vuv‡‰g[~[Šž‹JŒqg[~4gt‘’e`)‡vuv‡‰g[~ exw4gu‰kf{ex|}g[pŸ‡vn|4Œqg w†e`nqz`g jlg{|–r<g{g[n w4g[e`u“i>|4‡vg e`nop uv‡vnog[exw}i>|4‡vg`Š ‹JŒqg ~4mqw†dow†‡v~4‡ynqz w4g[~4m:u‰|„fhk]ˆ`g{w†~ |4Œqgu‰kNrHg{wGd:exw4|Jk`‘B|4ŒqgT|4‡vtgTŒo‡‰g{w†exw†fŒ6s¢‡vn&pqg{|4e`‡yuŠ ‹JŒqgœd:exdlg{w)‡v~tk`w†zbe`no‡‰ {g[p e`~ž‘’kbuvu‰k]r ~{¶E n cg[fh|4‡vkbn Æ r<gœpqg{› nqg|4Œqg j:e`~4‡vfnok`|4‡‰kbno~ e`nop¢|4ŒqgTtkpqg[u‡yn?mqg[~}|4‡vkbnŠHc‡vnofhg ‘’k`wGe`uvkb~4|Je`uvul‡vnq›:no‡v|}gŒo‡vg{w†exw†f†Œ:‡‰g[~‡vn&fhkbd:u‰gh”i ‡‰| s-|4Œog{k`w4s%|4Œogœfhkbno~}|}w†m:fh|4‡‰j:‡vuv‡v|–sLk`‘ |4Œqgjlkbmon:po‡vnqz ‘’mon:fh|4‡‰kbno~t‡v~‡ynopo‡v~}dlg[no~†exj:u‰g`¹Á‡vn cg[fh|4‡‰kbn¼žr<gd:w4g[~}g[nU| kbmqwšnqk`|4‡vkbn k`‘<fhkbno~}|}w†m:fh|4‡‰j:‡vuv‡v|–s&‡vnT‚ƒG~ e`nop dow†k]ˆ`g,|4Œoex|š‡‰| fhk]ˆ`g{w~<erG‡vpqg{wHw†e`nqz`g k`‘‘’mon:fh|4‡‰kbno~Á|4Œoe`n)|4Œqg m:~4moe`u:exd:dow4kbe`f†Œ™ŠPcg[fh|4‡‰kbn)º‡v~Žpog{ˆ`k`|}g[p |}kez`g[nqg{w†e`uv‡v [ex|4‡‰kbntk`‘|4Œqg g{|4Œqkp)‡vnE#“¸ È $ |}k|4‡ygGfhkbd:uvgh”‡‰|4‡vg[~Ájlg{s`kbnoptw4g[e`u‰i>|4‡vg`Š ‹JŒo‡y~,`g{s1|}kUkbu ‡v~tmq|4‡vuy‡‰ {g[p |}k k`jo|4e`‡yn e fhg{w4|4e`‡yn uve`nqzbm:exz`gœnqk`|že`f{fhg{d:|4exj:u‰gœr ‡‰|4Œ e Æ.

(8) zb‡‰ˆ`g[n|4‡ygjlkbmonopŠ·B‡ynoe`uvu‰s`¹™‡vnLcg[fh|4‡vkbn 0D|4Œqg)fhk`w4w†g[~}dlkbnopo‡vnqzDdow4k`dlg{wš‡vnof{uymo~4‡‰kbn ‡v~ gh”|}g[nopqg[p&|}k)e`n ‡vnq›:n:‡‰|}g |4‡ygTŒo‡‰g{w†exwf†ŒUsžjsž|}we`no~4uvex|4‡‰kbn&exw†zbmog[nU|4~{Š. .  . .    .  .

(9) 

(10) 

(11)  .          ! #" %$ &  (' %$*) +-, '/.0 1$ 2$43 65 798:. ;<$ =8 ?> * @$ BA C$ /5D E ?F& G H IKJMRLONN HQHQPP 5  $ /S C$ 5T E U  & VW  YX2.  [Z \> ] E ^_X <$ ` U$ a C$ [5; E b  &cd $e.FS fE `. È jUs @ŠP‹JŒqg ˜gpqg[nok`|}gš|4Œqgšdlkb~4‡‰|4‡‰ˆ`gš‡vnU|}g{z`g{w†~ 6¸ Æ ,jUs e`nop¢|4ŒqgT~4g{| g[do| s,rHk`w†p)‡v~Ápqg[nqk`|}g[p)jUs te`n:p|4ŒqgJw4g{ˆ`g{w~4e`uqk`‘e rHk`wp js ŽŠÁ·qk`wŽ|4Œqg u‰g[nqz`|4Œ k`‘ r<grJw†‡v|}g Š ˜gœm:~}g ‘’k`w)‡vnof{uvm:~4‡‰kbno~e`nop ‡v‘G|4Œqg‡vn:f{uvmo~4‡‰kbn ‡v~~4|}w†‡vfh|{Š ·qk`wDe‘’m:nofh|4‡‰kbn ¶ rHg pqg[nqk`|}gœ‡‰|4~ i>‘­kbuyp fhkbdlkb~4‡‰|4‡‰kbn js ­¹ „Š À 8€ 4Q 8‘ 1‡v~‡vnofhw4g[e`~4‡ynqz&|4Œqg[n-‡‰|4~‡yn6ˆ`g{w†~4gž‡v~pqg{›:nqg[p%e`f{fhk`w†po‡vnozœ|}k t‡yn Á€ œ 34 bŠšƒ~m:~4moe`uYrHgpqg{›:nog|4Œqg~}g{| k`‘P‘ monofh|4‡‰kbn:~G|4Œoex| z`w4kNr ~}|}w†‡vfh|4u‰s u‰g[~4~ È bŠ  n1|}g{w†)~k`‘ k`w†pqg{w†~k`‘ |4Œoe`n js € ™ Ÿ¶ Áuy‡v texzbno‡v|4mopqg ‡v~,e`n mqdodlg{w,jlkbmonop%k`‘ |4Œqg~4g{| t€ ™ ¶ 4 ¶ 4 <4 ¶ •8€ 4Q -A Á8€ 4Q bŠ‚<kbnUˆ`g{w†~}g[u‰s`¹ ‡v~eLu‰kNrHg{w)j•kbm:nop k`‘ |4Œog~}g{| € ™ D¶ )€  bŠ ƒ. kbnqghi>r<e]sŸw4g[~}d™Š„| rHkxi>re[s±fhg[uvuvmouyexw¢exw†w†e[sŸ‡v~&e uy‡vnqg[exwexw4w†e]s k`‘‡vpog[n6|4‡vf{e`ušpog{|}g{w}i  ‡vn:‡v~}|4‡vf›:no‡v|}g)~}|4ex|}g¢te`f†Œo‡ynqg[~{¹3~}kbg{|4‡vg[~f{e`uvu‰g[p%fhg[uvuv~{¹YrGŒo‡vfŒ exw4gDfhkbnonqg[fh|}g[p%|}k t |4Œqg[‡‰wšnqg[exw†g[~}|šnqg[‡‰zbŒUj•k`w |}k&|4Œqg,w†‡vzbŒ6|w4g[~}d™Šl|}k&|4Œqg[‡vwjlk`|4Œ nqg[exw4g[~4| nog[‡‰zbŒ6jlk`w†~[ŠT‹JŒqg exw4w†e]s&‡v~jlkbmonopqg[pžjUs¢fhg[uvuv~„‡yn&etpo‡v~}|4‡ynqzbmo‡v~4Œog[p)~}kxi–f{e`uvuvg[p&jlkbmonopoexw4sž~}|4ex|}g`ŠH·qk`w fhkbni ˆ`g[no‡‰g[n:fhgGr<gG‡vpqg[nU|4‡‰‘’s|4Œqg fhg[uvuv~Pjs,dlkb~4‡‰|4‡‰ˆ`gJ‡vnU|}g{z`g{w†~{ŠP‹GŒqgJ~}|4ex|}g|}w†e`no~4‡‰|4‡vkbntpqg{dlg[nopo~ kbnt|4Œog f{mqw4w†g[n6|Ž~4|4ex|}g k`‘lg[e`f†Œ¢fhg[uvu e`nop|4Œqgf{mqw4w4g[nU|Ž~}|4ex|}g6€ ~ Ák`‘™‡‰|4~Hnqg[‡‰zbŒUjlk`wN€ ~ Š3‹JŒqg |}w†e`no~†‡‰|4‡‰kbn ‘’mon:fh|4‡‰kbn ‡v~ exdod:uv‡‰g[p |}ke`uvuBfhg[uvuv~š~}snofŒqw4kbnqkbmo~†u‰sex|špo‡v~4fhw4g{|}g,|4‡vtg,~4|}g{d:~{Š ·qk`w†)e`uvu‰s•¶ ²dh kbnqghi>re[s&fhg[uvuvmouyexw<e`mq|}kb)ex|}kbn%€>T‚ƒš jilkmkonbkOprqtsvuxw* `y9 {z| Y}K Y~€` q { „ q ‚ƒ †ˆ‡ w%ilkp ƒ q?‰‹Šbixprq9bŠ‹ŒŠ‹qtsKŽpnk qpŒtfhg[uvuQ~}|4ex|}g[~{ ‘<‡ z.F’ wBi“k”p ƒ q jlkbmonopoexw†sž~}|4ex|}g  •–‡ }—!dw˜ilkp ƒ q Š‹ŒŠ™qtsKŽ[pnk qpŒ) ‡vnqd:mq|„~}sj•kbuy~{ š ‡ ~0!dwBilkp ƒ q k qpŒt e`f{fhg{d:|4‡vnqz €’k`w ›:noe`u­ H~}|4ex|}g[~{]m Šœ› –‡ y ¶ €xwFˆzž@ oŸ?& wBilk”p ƒ q u‰kf{e`u™|}w†e`no~4‡‰|4‡vkbn¢‘’mon:fh|4‡‰kbn ‡ 8‘|4Œqg:k]r k`‘™‡vnq‘’k`w†tex|4‡‰kbnž‡v~Hgh”|}g[nopog[pž|}k|–r<kxi>re[sD|4Œqg w†g[~4mou‰|4‡vnozpqg{ˆ‡vfhg‡y~Že¡r¢C£¤ˆ¥ £¦ˆ§ ¨6© ª «f«¬­«¦Q®¦ˆ®t®o¦QD§ €>‚ƒT Ye`nop,|4ŒqgJuvkf{e`u|}w†e`n:~4‡‰|4‡‰kbn‘ monofh|4‡‰kbntexd ~3‘­w4kb €xwK9¯7@ o° |}k±< wŠ ƒ_© ¤ˆ² ³4´–¬­®µ¦ˆ¢C¶=¤ˆL ² k`‘He)fhg[uvuvm:uvexw e`mq|}kb)ex|}kbnex|~}kbtg|4‡vg€·1> È ‡v~ ežpqg[~4fhw†‡vdo|4‡‰kbnk`‘ ‡‰|4~„zbuvk`j:e`u~}|4ex|}g`¹:r Œo‡vf†Œœ‡v~„e`fh|4moe`uvu‰s¢ettexd:d:‡vnqzXtP ¸ ¶ #“¸

(12)

(13)

(14) 9 4$œ&¹-w ‘­k`w&4e.2„ Š ‹JŒqg&fhkbnq›:zbmqw†ex|4‡‰kbn ex||4‡vg È ‡v~pqg{› nqg[p js |4Œog‡vno‡‰|4‡ve`uH~}g mqg[nofhg&k`‘ ~4|4ex|}g[~{Š-·ok`w ezb‡vˆ`g[n%‡vnod:mq|”º5º» À A A At»–H¼.@} ½ r<gž~}g{|€Xtt¾  ¿ €=' K5À» + ‘’k`wž¸^Á'K^ 43Š  mow†‡vnqz. g. ©U¬3¯B«­ZN«’® ¯. e)fhkbtd:mq|4ex|4‡‰kbnœ|4Œqgž€>T }‚ƒ ~4|}g{d:~J|4Œqw†kbmqzbŒe)~4g Umqg[n:fhgk`‘Áfhkbnq›ozbmqwex|4‡‰kbno~„rGŒog{w4g{jUs ~4mof{fhg[~†~}k`wfhkbno›ozbmqw†ex|4‡‰kbn:~Gexw4gfhkbd:mq|}g[p e`f{fhk`w†po‡vnoz)|}k)|4Œogzbu‰k`j:e`uQ|}w†e`no~4‡v|4‡‰kbn‘ monof i |4‡‰kbn &¶. Â. ¼.

(15) X ¸ ·j> È j•gJefhkbnq›ozbmqw†ex|4‡vkbn¹6|4Œqg[n)‡‰|4~P~4mof{fhg[~†~}k`wHfhkbnq›:zbmqw†ex|4‡‰kbnž‡v~Pe`~P‘’kbuvu‰kNrG~{¶ Xt¸ ½ À 5 Â €=Xt¸  Xt¸ ½ À € ¸] 5 yr¯7 YXt¸€ ¸] YXt¸€ Æ  X ¸ ½ À €=' 5 y  X ¸ €='  ¸] YX ¸ €=' YX ¸ €=' 6 ¸]  Y'.e Æ

(16)

(17)

(18) 4  ¸ Xt¸ ½ À €84Q [5 y  Xt†¸ €84  ¸] YXt¸ €84Q Y¯  ‘’k`w‚ƒ~Je`nopfhk`w4w†g[~}dlkbnopo‡vnqzbuvs‘­k`wšT‚ƒG~[ŠŽ‹JŒmo~{¹b ‡v~J‡ynopomofhg[pDjs 6y Š 8‘o|4Œqg„~}|4ex|}gJ~}g{|Á‡v~BeT‚exw4|}g[~4‡ve`ndow†kpom:fh|Yk`‘:~4kbg„~4te`uvu‰g{w3~}g{|4~ w 5wœ

(19)  w À A A A w ]¹ r<gTrG‡vuvulmo~4gš|4ŒqgTnqk`|4‡‰kbn ® ªx´–¶ {¢rª  ® ‘’k`wJ|4Œqg~4‡ynqzbu‰g d:exw4|4~„k`‘Áe~}|4ex|}g`Š  g{| Q‘­k`w. . . . . ·3‡‰zbmqw4gt¸x¶Hƒ. . . . . kbnqghi>re[sfhg[uyuvmouvexwJe`mq|}kb)ex|}kbnŠ. '. ƒn1‡vnqd:mq| ‡y~e`f{fhg{do|}g[p js-e`n €>T }‚ƒ ‡v‘ ex|)~}kbtg&|4‡vg Tpomqw‡vnqz ‡‰|4~fhkbmqw†~}g&k`‘ fhkbd:mo|4ex|4‡‰kbn&|4Œqguvg{‘­|4kb~4|Jfhg[uvug[nU|}g{w†~Ge`ne`f{fhg{d:|4‡vnqz)~}|4ex|}g`Š. q p#" 5 uxw* `y9 {zb Y}K Y~6%$|qm Š-€>T }‚ƒ ‡ †ˆ‡ h?Š ilŠ–Ž'&|p M.}?½ ilk e`f{fhg{do|}g[p($ n)" i“p ƒ q „tq q+*|ilkOpCkm±pCils/qkOprqµŽ' .2Bk,&.- ƒ p ƒ m<pX + € ¸] .~ ƒ Œ/=›­k=Œ „Kp ƒ q0-tŒŠ|‰213& „tm<pCifŒŠX + 5  ) +-,>€=X{t¾ ¿Á ‡ ‘<‡54 €6" 5v9T. } ½ *MilkU7m -8-tqµŽ[prq99› $ n "Tilk±p ƒ q uve`nqzbm:exz`g¢e`f{fhg{d:|}g[p1jUs " ‡ •–‡ qp[<· ¶| &c b{· €84Q j> 4*: $|qms/m ŽbŽ]il;Š 1 =‡ < 4>m //]M. 4 €6" ?- m @Š $<q 7m -8-tqµŽprq9› ‚ ixp ƒ m<ps/ŒkOp {· €Y €» ”pCils/q?kOprqµŽ k{ p ƒ qtŠ 4 ilkk`m i=›pr Œ $|q ŒjpCils/%q -tŒsKAŽ / +q *<ixpn · ‡. g. ©U¬3¯B«­ZN«’® ¯!. ‹JŒqg‘’e`t‡yu‰s)k`‘Pe`uvuQuve`nqzbmoexz`g[~G|4Œoex| exw4ge`f{fhg{do|4exj:u‰gjUs&~}kbtgT‚ƒ €>‚ƒš <rG‡‰|4Œ|4‡vg fhkbd:uvgh”‡‰| s Q‡v~3pqg[nok`|}g[pj s B †€>T‚„ƒ <C€ B €>‚ƒš }  Š 8‘ ™g moe`uv~B|4Œqg‡vpqg[nU|4‡‰| sT‘’m:nofh|4‡‰kbn ED•8€ 4Q 43¹qe`f{fhg{do|4e`nofhg‡v~~4e`‡vpD|}kjlg ‡yn CF {¹:e`nop¢‡‰‘ <‡v~<g Umoe`ul|}H k G A EDt‘’k`wJe`n exw4j:‡v|}w†exw4sDw†ex|4‡‰kbnoe`u™nmojlg{? w G C ¸x¹o|4Œog[nœe`f{fhg{do|4e`nofhg,‡v~„f{exw4w‡‰g[p&kbmq|G‡yn IF {Š ‚<k`w4w†g[~}dlkbnopo‡vnqzbuvs`¹Ur<gšrJw†‡‰|}J g B  †€}€>T }‚ƒš e`no. p B K €}€>T }‚ƒš Š. ' 5. ”·. ¸.  n&|4Œo‡v~„exw4|4‡yf{u‰gšrHgdow4k]ˆ`g`¶. µ¸. ¸ b· ® ªY¦ˆ«-¥o¢C¶ ª · ¸. {' 2«-¶ ²‹ª`¦ˆ® ¥o¢C¶ ª. q p!= À = Ÿ ¶|¼& !$|qKp ‚ ŒS&QŠ-9pCifŒŠbk k,&.- ƒ p ƒ m<p!= Ÿ A u‰k`z Ÿ €8= Ÿ .Aq€8= À m Šœ› 3 ilk tŒŠbk9p=„&.-9pCiU$/ q9 p ƒ qtŠ B H ½ V N HˆP €>T‚ƒš "WB H ½ YX N HQP €>T‚„ƒ ^ `cbedS^ ¸Tj•g | rHkžw†ex|4‡‰kbnoe`u™nmojlg{w†~{ŠH‚u‰g[exwu‰s`¹ 42fA[u‰k`z Ÿ €842f6 ZT[ ^\O@]Bª’©_^  g{| È a ‡v~3k`‘•k`w†pqg{wq A €84Ag{ Š n,|4ŒqgJnqgh”|Á~}g[fh|4‡‰kbn|4ŒogJfhkbno~}|}w†mofh|4‡vj:‡vuv‡‰| sšk`‘ |4ŒogJ‡vn6ˆ`g{w~}g„k`‘ 4AgHrG‡vuvu LNM. ©®:\@©.OQPR 1= À À T-. jlgšg[~}|4exj:uv‡y~4Œqg[pŠÁ‹JŒmo~{¹qe`nœexd:d:uv‡vf{ex|4‡‰kbnDk`‘Á‹JŒqg{k`w†g[. B. ¼,s‡‰g[uvpo~<|4Œqg~4|}w†‡vfh|J‡vnof{uymo~4‡‰kbn. H ½ H,h €>T‚ƒš "iB H ½ Hj €>T‚ƒš º.

(20) .  

(21)  . . .  

(22) . &. ·qk`wJ|4Œogšdow4kk`‘Qk`‘3‹JŒqg{k`w4g[ ¼,‡‰|rG‡yuvu:jlgšnqg[fhg[~4~†exw4sž|}kžfhkbn6|}w4kbu™|4ŒqgTu‰g[nqz`|4Œo~k`‘YrHk`wpo~ rG‡‰|4Œw4g[~}dlg[fh|J|}k)~}kbtg‡vnU|}g{w†noe`u~4moj:~}|}w†mofh|4mow4g[~{ŠŽ‹JŒogT‘­kbuyu‰k]rG‡ynqznqk`|4‡‰kbn&k`‘Pfhkbno~4|}w†mof i |4‡‰j:‡yuv‡‰|–sDgh”dow4g[~4~}g[~ |4Œqg‡vpqg[et|4Œ:ex| |4Œqgu‰g[nqz`|4Œœk`‘Žetr<k`w†p w4g[uvex|4‡‰ˆ`g|}kž|4Œqg,u‰g[nqz`|4Œœk`‘Že ~4mqjr<k`w†p&~4Œqkbmouyp¢j•gšfhkbd mq|4exj:u‰g`Š. #h &ˆŠ-9pCifŒŠ $¶[;& ;ilkfhkbno~}|}w†m:fh|4‡‰j:u‰gil?p ƒ q „tq/q+*<i“kOpCkKm Š¼ =f„tq q ƒ Œs/Œs±Œ „ Ž ƒ ilk`s m Šœ›±m /fm Š;13&Qm1­q 4 .)B o¸†€>‚ƒ k,&.- ƒ p ƒ m<p HˆP H H *42.2  Y€ 4 5;9» R N 3 g. ©U¬3¯B«­ZN«’® ¯.

(23). . . . c‡vn:fhgfhkbno~}|}w†m:fh|4‡‰j:u‰gš‘ monofh|4‡‰kbn:~Jpqg[~4fhw†‡vj•gš|4Œogu‰g[nqz`|4Œœk`‘3|4ŒqgrGŒokbu‰gTr<k`w†pœpqg{dlg[nopog[n6| kbn|4Œogu‰g[nqz`|4Œœk`‘Pe)~4mojUr<k`w†pœ‡v|G‡v~„k`jˆ‡vkbmo~J|4Œoex|g[e`f†Œ fhkbno~}|}wmofh|4‡‰j:u‰g‘’mon:fh|4‡‰kbnmo~}| jlgz`w4g[ex|}g{w|4Œoe`nk`wg moe`uÁ|}k |4Œqg)‡vpog[n6|4‡‰| s`Š)ƒ|e›ow†~}|šzbuve`n:fhgt|4Œo‡v~šnqk`|4‡vkbnk`‘„fhkbni ~}|}w†m:fh|4‡‰j:‡vuv‡v|–s¢t‡‰zbŒU|u‰kk`œ~}kbtg[Œqk]r monmo~4moe`uQk`w w4g[~}|}w†‡vfh|4‡vˆ`g`Š ¡mq| qi>‘­w4g{gŒqkbtkbk`w}i d:Œo‡y~4t~Áexw4g ˆ`g{w4stdlk]r<g{w4‘ mouo~}k|4ŒqgG‘ e`t‡vu‰sk`‘Ž€ ‡vn|4Œ:‡v~Ž~}g[n:~}gN Áfhkbno~4|}w†mofh|4‡‰j:uvg„‘’mon:fh|4‡‰kbno~ ‡v~Žˆ`g{w4stw†‡vfŒ¹Ue`n:pž‡v~[¹U‡vn)‘’e`fh|{¹qez`g[nqg{w†e`uv‡‰ [ex|4‡vkbn)k`‘|4Œqg mo~4m:e`u:nqk`|4‡‰kbn™Š3‹GŒqgGw4g[)e`‡vnopqg{w k`‘3|4Œo‡v~„~}g[fh|4‡vkbn‡v~Jpqg{ˆ`k`|}g[pœ|}k)f{uvexw†‡v‘­sž|4ŒqgTdow4g[~4g[n6|}g[pnok`|4‡‰kbne`nop‡v|4~„dlk]r<g{w[Š. ”. ‹JŒqgtnogh”|uvg[tte~}|4ex|}g[~|4Œoex|Tr<gžf{e`n w4g[~}|}w†‡yfh|škbmqwfhkbno~†‡vpqg{w†ex|4‡‰kbn:~ |}k u‰g[nqz`|4ŒLdow4ghi ~}g{w4ˆ‡vnqz Œqkbkbk`w†d:Œo‡v~4)~{Š ‹GŒqgDe`poˆ@e`nU|4exz`g‡v~|4Œoex|,‘­k`wu‰g[noz`|4Œ%d:w4g[~}g{w4ˆ‡vnqz Œqkbkxi k`w4d Œo‡v~4t~<g[e`fŒr<k`w†p‡vn 4 ‡v~nqk]rGn|}ktjlgšk`‘Bu‰g[noz`|4Œ Á€ œ H‘­k`w ~}kbg „Š. $ =8 K8 .2 ©.OiO ^ R*qp”$±¶0&  $|q/m@-tŒŠbkOp=„&.-9pCi $/fq(S&ˆŠA-9pCifŒŠ ‡ ƒ qtŠ p ƒ q „tq q+*|ilkOpCkm /fqtŠ;17p ƒ Ž]„tqtk q „ ilŠ;1( =f„tq q ƒ Œs/Œs/Œ „ Ž ƒ ilkYs m Šœ›/m /“m 2Š 13&Qm 1­q 4 . B µ¸†€>T‚ƒš jk,&.- ƒ p ƒ m<p HˆP H H * 42.2  Y€ 4 5;9» R N 3 ‹JŒqgÁd:w4kUk`‘‘’kbuvu‰k]r ~™‡vtg[p:‡vex|}g[u‰sG‘’w4kbSeJdow4kk`‘‡vn #“¸ $6rGŒqg{w4gÁ|4ŒogŽf{u‰kb~4mqw†gÁk`‘7B µ†¸ €>T‚ƒš monopog{wUq  i>‘’w4g{gšŒqkbkbk`w4d Œo‡v~4t~<‡v~„fŒoexw†e`fh|}g{w†‡‰ {g[pjUs&T‚ƒ~rG‡‰|4Œ¢uv‡vt‡v|}g[pžnqkbn:pqg{|}g{w}i t‡vn:‡v~4&Š ‡‰ˆ`g[nœe`n&‡vnofhw4g[e`~4‡ynqzfhkbn:~}|}w†mofh|4‡‰j u‰g ‘’mon:fh|4‡‰kbn $ ¶| &  e`nop&euve`nqzbm:exz`g 4 !@} ½ e`f{fhg{do|4exj:uvg&jUs ~4kbgœT‚ƒ rG‡v|4Œ |4‡vtg¢fhkbtd:u‰gh”q‡‰|–s 4E63=q€84Q ¹ÁrGŒqg{w4g= ¶ Á& „ ¹ r<gLnqk]r pog{›:nqge1uve`nqzbmoexz`g|4Œ:ex|d:uve]s~&e`nS‡ydlk`w4|4e`n6|Dw4kbu‰gL‡yn|4ŒogL~}g Umog[uŠ  g{| |4Œqguve`nozbmoexz`g 4 R ! ½ j•g&e rG‡v|4nqg[~4~,‘’k`wt|4Œqgfhkbno~}|}wmofh|4‡‰j:‡vuy‡‰|–sLk`‘B $ ¹H‡>Š»g`Š‰¹ 4 R . B µ†¸ €>T‚ƒš ,e`nop Y€ 4 R ±5 9» R N HQP 3 H H . 4 .Á  ‘­k`wDeLu‰g[nqz`|4Œ dow4g[~}g{w†ˆ‡vnoz q i>‘’w4g{g Œqkbkbtk`w4d:Œo‡v~† Š‹JŒqguve`nozbmoexz`g 4 À € 4 4 R ! €=}%e |@ t µ½ ‡v~Jfhkbno~}|}wmofh|}g[p e`~J‘’kbuvu‰kNrG~ . . . . 

(24). . . . . . .  . . #". !. /. $. 4 À € !4  4. Á‡v~<eTr<k`w†pžk`‘ 4 R |4Œoex| R  $ =8 ”8 .e„Š Æ ŠG‹GŒqgT›ow†~4|Gfhkbdlkbnqg[nU|Gk`‘Afhkbn6|4e`‡yno~Jgh”qe`fh|4u‰sF$Á€=8œ = 8 j:uve`nq¢~}sjlkbuv~ e`nop 8 nokbni>j:uve`nqD~}sjlkbuv~{Š ¼ŠG‹GŒqgTnqkbni>j:uye`nqž~}sj•kbuy~„‡vn¢|4ŒqgT›ow~}|„fhkbdlkbnqg[n6|Gk`‘* ‘­k`w er<k`w†p‡vn 4 Š ¸xŠG‹GŒqg ~}g[fhkbn:pžfhkbdlkbnqg[nU|<k`‘™g[e`f†ŒDr<k`w†p Ÿ‡yn ‡yd:uv‡‰g[~<|4Œoex| ‡v~k`‘Áu‰g[noz`|4Œ Á€ œ <‘­k`w ~}kbg. 0. !.

(25) ‹JŒqgž‘­kbuyu‰k]rG‡ynqz&dow4k`dlkb~4‡‰|4‡vkbnL‡v~m:~}g[p%‡ynLuvex|}g{w~}g[fh|4‡‰kbno~[Šœ¡<g[~4‡vpqg[~{¹3‡‰|‡v~e`n%gh”e`td:u‰g |4Œoex|pqg[kbn:~}|}w†ex|}g[~ŒqkNr |}k m:~}gDfhkbn:~}|}w†mofh|4‡‰j u‰g)‘ monofh|4‡‰kbn:~{Š8n  g[)te%¸[¼ r<g¢rG‡vuvu dow4kNˆ`gT|4Œoex|J|4Œog~4ŒqkNrGn¢jlkbmonop¢‘’k`wJ|4ŒqgT|4‡vtgTfhkbd:u‰gh”q‡‰|–sDk`‘ 4 À ‡v~„t‡yno‡vte`uŠ \@®\P ] ® X]«­ZN«’® ¯  ƒ q /fm Š;13&Qm1­q 4 À € 4  4 -tŒsKŽA/ q+*<ixpn 4 6>=€C$ 3 À €84Q } ‡. . R ilk4m7-8-tqµŽpxm2$/fqT${n6ktŒs/qH‚ƒ ‚ ixp ƒ pCils/q. . \@®® †a±˜gTfhkbn:~}|}w†mofh|Je`nœT‚„ƒ rG‡v|4Œž|4Œow4g{gšw4g{zb‡v~}|}g{w~|4Œoex|Je`f{fhg{do|4~ 4 À k`jlg{s‡vnqz |4ŒqgT|4‡ygTfhkbd:u‰gh”q‡‰| s?4 62=q€ À €84Q } Š  nœ‡‰|4~G›ow†~}|Jw†g{zb‡v~}|}g{w ˆ`g{w†‡v›og[~J|4Œoex| |4Œqg~4g[fhkbnopœfhkbdlkbnqg[nU|Gk`‘Ág[e`fŒ rHk`w†p ‡vn 4 À ‡v~ er<k`w†p&k`‘ 4 ŠP¡<s&pqg{›:n:‡‰|4‡‰kbnDk`‘ 4 |4Œo‡v~„f{e`nœjlgTpqkbnqgT‡vn¢w4g[e`u‰i>|4‡vg`Š  n&‡‰|4~J~}g[fhkbnopw4g{zb‡v~}|}g{w f†Œog[f4~G|4Œoex|G|4Œqgš›ow†~}|„fhkbdlkbnqg[nU|Jk`‘ 4 À fhkbnU|4e`‡vno~„gh”qe`fh|4u‰s Á€ œ;  j:uve`nq~}sjlkbuv~{Š3¡<g[f{e`mo~}g ‡v|Pf{e`ntjlg„ˆ`g{w†‡‰›og[pt|4Œoex|P|4ŒqgG~4g[fhkbnop)fhkbdlkbnqg[nU| k`‘ 4 À jlg[u‰kbnqzb~ |}k 4 ¹Qr<gtnqk]r |4Œ:ex|T|4Œqg›ow†~4| Á€ œ#  ~}sjlkbuv~ k`‘<|4Œqg)~4g[fhkbnop fhkbdlkbnqg[nU|Hexw4g texdodlg[p|}k Ä~He`nopž|4Œqguve`~}| ~}sjlkbuv~Ák`‘|4Œog~}g[fhkbn:pžfhkbdlkbnqg[nU|  exw4gtexdodlg[p |}k Ä~{Š‹JŒog|4e`~} ‡v~|}kf†Œqg[f† |4Œ:ex|š|4ŒqgnUmojlg{w k`‘ Ä~š‡yn |4Œog,~4g[fhkbnop fhkbdlkbnqg[nU|t‡v~,g moe`u„|}k|4Œqgœnmojlg{wk`‘j:uve`no%~}sjlkbuv~,‡vn |4Œog&›ow†~}|fhkbdlkbnqg[nU|{Š ‹JŒqg{w†g{‘­k`w4g`¹ ~4Œo‡v‘­|4~|4Œqgšj uve`nqž~4sjlkbuv~<‘­w4kb w†‡‰zbŒU|„|}k)u‰g{‘’|{ŠP¿Že`f†Œ ~}sjlkbu D‡vn¢|4Œqg ~}g[fhkbnop fhkbdlkbnqg[nU|,fhkbno~4mog[~kbnqgDj:uve`noL~}sjlkbuŠ ƒ ~4‡‰zbnoe`uH|4Œoex|,z`kUg[~‘’w4kb |4Œqg w†‡‰zbŒU|P|}k|4Œqg u‰g{‘’|PrG‡v|4Œ‘’m:uvuq~}dlg{g[p)f{e`nDf†Œqg[f†t|4Œoex|<nqkTj:uve`no~}sj•kbu:Œoe`~Žw†g[e`f†Œqg[pž|4Œqg u‰g{‘’|4kb~}| fhg[uvuBe`nop |4Œoex| g[e`fŒu‰g{|}|}g{w Œoe`~ fhkbno~4m:g[pœkbnogj:uye`nq~}sjlkbu¹•‡ÂŠ»g`Š‰¹l|4Œoex| |4Œqg)nmojlg{wTk`‘ Ä~‡v~šg moe`uP|}k |4Œqg)nmoj•g{wk`‘„j:uve`nq ~}sjlkbuv~{ŠD‹JŒqgt|}g[~}|f{e`n jlg pqkbnqgT‡yn¢w4g[e`u“i>|4‡vg`Š  n k`w†pog{w|}k ˆ`g{w†‡v‘­sL|4Œ:ex||4ŒogDnqkbnqi>j:uve`nqL~}sj•kbuy~‡vn%|4Œqg¢›ow†~}|fhkbdlkbnqg[nU|‘’k`w† e r<k`w†p k`‘ 4  |4Œog e`mq|}kb)ex|}kbn ~†‡vm:uvex|}g[~t|4ŒqgT‚ƒ |4Œoex|De`f{fhg{do|4~ 4  Š ¡mq|)‘’k`w g{ˆ`g{w4s j uve`nqUi–~}sjlkbu Œoe`~ž|}k jlg pqg[uye[s`g[p‘­k`wDkbnqgœ|4‡ygœ~}|}g{d™¹ mon6|4‡yuJ‡‰|tw4g[fhg[‡vˆ`g[~ |4Œqg nqg[fhg[~4~4exw4s ‡ynq‘­k`wtex|4‡‰kbn1‘’k`wž|4Œog nqgh”|ž~4‡ymouyex|4‡‰kbn1~}|}g{d™ŠS‹JŒog{w4g{‘­k`w†g`¹ nog{g[po~ 6 =€ œ 6 € Á€ œ  œ )~}|}g{d:~D‘’k`wž|4Œog ~4‡ymouyex|4‡‰kbn € 6 =q€ œ |4‡vtg ~}|}g{d:~D‘’k`w |4Œqg ~4‡vmouvex|4‡‰kbn1‡‰|4~4g[u‰‘e`n:p Á€ œ  Ç|4‡ygœ~}|}g{d:~žpqg[uve]s‡vnozL|4‡vgN Š cmqj ~}|4‡‰|4mq|4‡vnoz À 8€ 4Q <fhkbd:uvg{|}g[~J|4Œqgšdow†kUk`‘8Š. . R. $ =8 /8. C$43. R. . . R. ». 8. =8 8 5 $3 _. C$ =8. . j». ]». ». U». 8. K$ =8 B8. .

(26) . 8. d$ =8. =8. 8. =8. . . k]r rHgtd:w4k]ˆ`gž|4Œoex||4Œqg)‘’e`t‡yu‰sœk`‘„fhkbno~}|}wmofh|4‡‰j:u‰g‘ monofh|4‡vkbno~T‡v~šˆ`g{w†s w‡vf†Œ1 Š 8nLd:exw}i |4‡vf{mouyexw[¹Ue`uvu ·3‡v~4f†Œog{w}i–fhkbno~}|}w†m:fh|4‡‰j:u‰g ‘’mon:fh|4‡‰kbno~Žexw†gfhkbno~4|}w†mofh|4‡‰j:uvgG‡vnt|4Œog~}g[n:~}gGk`‘  g{‘­i ‡vno‡v|4‡‰kb> n 0Š ƒ ‘ monofh|4‡‰kbn ‡y~~4e`‡vp |}kLjlg  2 ‡‰‘G|4Œqg{w†g&gh”‡v~4|4~te`n monUjlkbmonopqg[pž|–r<kxi>r<e]sœ‚ƒ ~4m:f†Œ¢|4Œoex|„|4ŒqgT‡yno‡‰|4‡ve`uvuvsu‰g{‘’|4kb~}|Jfhg[uyu g[nU|}g{w†~Je,› noe`ul~}|4ex|}g ex||4‡vg ‡‰‘Je`n:p kbnou‰s ‡‰‘ Á€ œ ‘­k`wt~}kbtg „Š%‹JŒUm:~{¹P|4Œqg&·3‡v~4fŒqg{w}i fhkbno~}|}wmofh|4‡‰j:‡vuy‡‰|–s‡v~Že`nž‡vdlk`w4|4e`nU|Žnqk`|4‡‰kbn|4Œ:ex|Hg{g{|4~<|4ŒqgG‡yn6|4mo‡v|4‡‰kbnk`‘fhkbno~}|}w†m:fh|4‡‰j:u‰g ‘ monofh|4‡‰kbno~[Š·qk`wTe¢pqg{|4e`‡yu‰g[p ~4|4mopqsk`‘P|4Œog[~}g,‘’mon:fh|4‡‰kbno~~}g{7 g # *$Br Œqg{w4g,e`uv~}kD|4Œqgnoe`g Œoe`~„jlg{g[n‡yn6|}w4kpomofhg[p&e`f{fhk`wpo‡vnqz|}kt|4Œoge`mq|4Œqk`wJk`‘ #»*¾ $>Š ·qk`w3gh”qe`d:u‰g`%¹ 4 <‘­k`w G „¹ Æ ¹ 43—‰¹xe`no? p ` :¹xrGŒog{w4A g ` š‡v~Q|4Œqg 4l|4Œdow†‡vtgŽnUm:jlg{w[¹xexw4g ·3‡v~4fŒqg{w}i–fhkbno~}|}wmofh|4‡‰j:u‰g` Š "œk`w4g{kNˆ`g{w[¹:|4Œqgf{uve`~4~J‡v~Gf{u‰kb~}g[pmon:pqg{wJ~}g{ˆ`g{w†e`uk`dlg{w†ex|4‡vkbno~{Š. %$. '. . . ¶ ©<ªO® ¥µ©`¤ˆ² t¢C®t¬<©9¢C¶ «ª '65G$ =8 8 .—  .2 H 7H 7H. ?º& Áilk ilk8- ƒ q „ -tŒŠ7kOp=„&.-9pCiU$ /fq9 p ƒ qtŠ@ixpilk -tŒŠ kOp=„&;-9pCiU$/fqilŠ2p ƒ q?ktqtŠbk q”Œ”q ‰7ŠbixpCifŒŠ –‡ \@®®† a  n #»¼;$3‡‰|G‡v~G~4Œqk]r n&|4Œoex|G‘’k`wGg{ˆ`g{w†suve`nqzbmoexz`g 4  . B K ¸ €>‚ƒT <|4Œqg{w4ggh”‡v~4|4~Ge uve`nqzbm:exz`g 4. . B µ†¸ €>T‚ƒš e`nop e`nq i>‘­w4g{gŒqkbkbk`w†d:Œo‡v~4 ~4m:f†Œ|4Œ:ex| Q€ 4 5 4  Š . ©.OiO ^´. < m2&ˆŠ-9pCifŒŠd$. ¶.

(27). ¾. . 

(28). .

(29) $. 9» R N HQP 3 H H  e.2 . ‹JŒqg{w†g{‘­k`w4g`¹‡‰|<‡v~Ž~4m)f{‡‰g[nU|Ž|}kdow4k]ˆ`g|4Œoex|<‘­k`w·3‡v~4fŒqg{w}i–fhkbno~}|}wmofh|4‡‰j:u‰gG‘’mon:fh|4‡‰kbno~ |4Œqg  uve`nqzbm:exz`g[~ 4 exw†guv‡vnqg[exw4i>|4‡vg‚ƒGi–uve`nqzbmoexz`g[~{¶ ‹JŒqgD‡vno‡‰|4‡ye`uvu‰s uvg{‘­|4kb~4|fhg[uvuŽk`‘Ge`n-exdodow4k`dow‡vex|}g¢‚ƒ ~4|4exw4|4~|4ŒqgDfhkbn:~}|}w†mofh|4‡‰kbn%k`‘ B¹ ‡ÂŠ»g`Š‰¹‡‰| g[n6|}g{w†~ ež›:noe`uB~}|4ex|}g,gh”e`fh|4uvsœex| |4Œqg|4‡yg~}|}g{d ~ Á€ ¸] ¹ Á€ Æ  n e`pop:‡‰|4‡‰kbn¹ |4Œqgw†‡‰zbŒU|4kb~}| fhg[uvu3~}g[nopo~‡vno‡v|4‡ve`uvu‰sDeD~†‡‰zbnoe`uY|}kD|4Œogu‰g{‘’||4Œoex| wmono~ rG‡‰|4Œ ‘’mouyuQ~}dlg{g[pŠ  ‹JŒqgž‚„ƒ e`f{fhg{d:|4~e&r<k`w†pk`‘|4Œqg)‘­k`w† ‡‰‘e`nopkbnou‰s ‡‰‘<|4Œo‡v~š~4‡vzbnoe`uPexw4w†‡vˆ`g[~Tex|  |4Œqguvg{‘­|4kb~4| fhg[uvu™ex|et|4‡vtg~}|}g{d Á€ œ ‘­k`w~}kbg e`nopœ|4Œqgnmoj•g{wGk`‘ Ä~ ‡v~ g moe`u|}k ŠP‹JŒogTpqg{|4e`‡vuv~„k`‘B|4ŒqgTg[e`~4s‚„ƒ fhkbno~4|}w†mofh|4‡‰kbnexw†g~}|}w†e`‡‰zbŒU|}‘’k`w4r<exwpŠ. $ =8. (8. v»­½ ½. $. 1$. $

(30)

(31)

(32). K8T. . . ˜ ‰‡ |4Œqkbmq|,dow4kk`‘Gr<gg[nU|4‡‰kbn |4Œoex||4Œqg&f{uve`~†~,k`‘fhkbno~4|}w†mofh|4‡‰j:uvgž‘ monofh|4‡‰kbn:~‡y~f{uvkb~}g[p monopog{wJ~}g{ˆ`g{w†e`u™k`dlg{w†ex|4‡vkbno~„~4mofŒe`~Ge`pop:‡‰|4‡‰kbn¹qmou‰|4‡‰d:uy‡vf{ex|4‡‰kbnžk`wGfhkbdlkb~4‡‰|4‡‰kbn™Š. . 

(33) . .  . Y™  . . . & n k`w†pqg{wJ|}k)dow4k]ˆ`gu‰k]r<g{wGjlkbmonop:~H‘’k`wG|4Œogš|4‡vgfhkbd u‰gh”‡v|–sDrHgTz`g[nog{w†e`uv‡‰ {gTetuvg[tte |4Œoex|zb‡‰ˆ`g[~e nqg[fhg[~4~4exw4sfhkbnop:‡‰|4‡‰kbn‘’k`we uve`nqzbmoexz`gt|}k jlgtw4g[e`u“i>|4‡vtg)e`f{fhg{do|4exj:u‰gžjUs e`n T‚„ƒŠPƒ| ›ow†~}|r<gnqg{g[p&|4Œqg‘­kbuvuvk]rG‡vnoz,pog{›:no‡‰|4‡‰kbn™¶. ©U¬3¯B«­ZN«’® ¯ ³R qp 4 $|qm /“m Š213&Qm1­qm Šœ›  m Šœ› $|q±p Œ ktqpCk€Œ Œ „O›žk ‡ Œ Œ‚ „ ›žk m Šœ›  m„tq q

(34) 2&Qi tm>/ qtŠ‹p ‚ ixp ƒ „tqtkrŽ[q,-9pjprŒ 4 Tm Šœ›‚ lilŠ k ƒ Œ „ ‚ p<€ 4   t‚ q

(35) &ˆi {m>/fqtŠ‹pUi“*m Šœ›±ŒŠ\/-n i“‹ . 4  ‹  ±. 4 CŒ „m>//e. m Šœ›±. ‡  g{| 4 "  È [ ¸ ] €` t   ½ jlgTetuve`nqzbm:exz`gšrGŒqkb~}gTr<k`w†po~„exw†gTk`‘3|4Œqgš‘­k`w ,€ À   À A A Ax€!7H   < H " rGŒqg{w†g#   +  ‹  + .2 È [ ¸% $‘­k`w¸K^ '  ^ 43¹:e`nop €&' „ 5 €! + '  + ‘­k`wex| u‰g[e`~}| kbnqg ' .6¸

(36)

(37)

(38)  4*bŠ. g. $. .

(39). . ‹JŒqg,uve`nqzbm:exz`g 4 f{e`n jlg|4ŒqkbmozbŒ6|še`~še&po‡vfh|4‡vkbnoexw4s`ŠT‹JŒqg|4e`~} ‘­k`wš|4Œqg)T‚„ƒ f†Œog[f4&rGŒqg{|4Œog{wJ|4Œqgšd:e`‡‰w€& '„ exdodlg[exw†~J‡vn¢|4ŒogTpo‡vfh|4‡‰kbnoexw†s)k`w nok`|{Š. ‡v~|}k.  \@®\]P® X]«­ZN«’® ¯±²)( *qp* + 5 º50 È [¸%$ ‡ ‚ Œ ‚ Œ „ ›žk  5 €! À ' À A A A@€! H ' H m Šœ›   5 €! À ' À A A AN€! , '  , 1m„tq€ q

(40) 2&ˆi tm>/fqtŠ™p ‚ ixp ƒ „tqtk Ž q,-9p?prŒ 4 ¹m Šœ› ºi“ m Šœ› ŒŠ\/-n il U€ À  À

(41)

(42)

(43) ] € H '  H ` 5MU € À   À

(44)

(45)

(46) 9 ]€& ,   , ` ‡ \@®®†a ·3‡‰w†~4|Je`~4~4mog|4Œoex|G|4Œqg|–r<kž~}g{|4~exw4gTg moe`uŠ  g{|-e. e`nop.±.. )¹:|4Œqg[n ‹ . 4 ‡vtd:uv‡‰g[~t€!  5 €! +   + ‘­k`w~}kbg/4' Š&c‡ynofhg|4Œqg)| rHk ~}g{|4~exw4gtg moe`u r<gŒoe[ˆ`g¢€' „ 5 €! /  '  /  <‘­k`w~}kbg0oŠH‹JŒog{w4g{‘­k`w†g`¹‹  ±. 4 ‡vtd:uv‡‰g[~*‹  /. 4 e`nop&ˆ‡vfhgšˆ`g{w†~†e¹:‡ÂŠ»g`Š‰¹7±  e`nop  exw†gž€ 4  F. ) –i>g Umo‡vˆ@e`u‰g[nU|{Š  k]r e`~4~4motg|4Œqgœ| rHk ~}g{|4~¢exw4g nqk`|)g moe`uŠŸ˜ ‡‰|4Œqkbmq|žu‰kb~4~tk`‘šz`g[nog{w†e`uv‡‰| s1rHg f{e`n e`~4~4m:g|4Œoex|š|4Œqg{w4g)gh”‡v~4|1%2 .  e`nop3 4. rG‡‰|4Œ1€ < 5 €! +   + ‘’k`w~}kbtg}' ¹ j:mq| €! „ 65 5 € /    /  P‘’k`w<e`uvu"065 ¸

(47)

(48)

(49) 9 Y8 ŠP‹JŒqg[n‹  /. 4 j:mq|™  2. ’ 4 e`nop¹ |4Œmo~{¹b±  e`nop  exw4gnqk`|€ 4  F. t –i>g Umo‡vˆ@e`u‰g[nU|{Š   k]r rHg exw4g dow4g{d:exw†g[p |}k-‘­k`w†mouvex|}g |4Œqg u‰g[tte rHg exw4g z`kb‡vnqz |}k mo~}g ‡vn k`wpqg{w |}k dow4kNˆ`g uvk]r<g{wDjlkbmon:po~t‘’k`wž|4Œog |4‡yg fhkbd u‰gh”‡v|4‡‰g[~{ŠA·qk`w¢|4Œqg~}dlg[f{‡ve`uGf{e`~}g 4 . B µ†¸ €>T‚ƒš H|4Œqgu‰g[t)eŒoe`~„jlg{g[n~4ŒqkNrGn&‡vn #“¸ È $>Š . 9. .

(50) ©.OiO ^ ² ² qp =¶‹˜&  $|qm ŠilŠ-Y„tq{m kYi“Š;1(S&QŠ-9pCifŒŠœ 4 ._B H  HQP €>‚ƒ 1m Šœ›  m Šœ› $|qp ‚ Œk qpCk Œ ‚ Œ „ ›žk ‡ qp  $|qp ƒ q si“Šbils(m>/]Š&ˆs)$<q „ ½ Œ[N kOpxm<prqtkŠ™q q9›<q9› $ nm Š T‚ƒÁprŒm7-8-tqµŽ[p 4 ilŠ74 6'=q€84Q ?pCils/q?kOprqµŽ k ‡ < >m // ‚ Œ „ ›žk”i“Š.cm„tqŒ /fqtŠ;17p ƒ 8 À m Šœ›m>/ / ‚ Œ „ ›žkKilŠ m„tqŒ /fqtŠ;17p ƒ 8 Ÿ jp ƒ qtŠ p ƒ q6Š &ˆs $|q „  Œ  € 4  F  t xq

(51) 2&ˆi tm>/fqtŠA-tqH-+/“m kYk qtkKŒp ƒ q ‚ Œ „O›žk”m<ps/ŒkOpUŒ /fqtŠ;17p ƒ 4  8 À  8 Ÿ il k $|;Œ &ˆŠ]›<q9_› ${n D^  , X   N , V ½  N HˆPfP    \@®®† a  g{|  jlg e`nœT‚ƒŸr ‡‰|4Œ  ~}|4ex|}g[~„|4Œoex|„e`f{fhg{do|4~ 4 ‡yn14D65=q€84Q P|4‡yg~4|}g{d:~{Š w jlgš|4ŒqgT~}|4ex|}g~4g{|Jk`‘ ž Š  g{| ˜gLfhkbno~4‡ypqg{w¢|4Œqgfhkbd:mq|4ex|4‡‰kbn k`‘  kbn |4Œqg r<k`w†p ‹   ‘’k`w~}kbg À.  e`nop 3 . žŠ ƒG‘’|}g{w/ €o |4‡vg,~}|}g{d:~|4Œqg,‡vnU|}g{w4g[~}|4‡vnqzžd:exw4|k`‘P|4Œqg,fhkbnq›ozbmqwex|4‡‰kbnœk`‘  f{e`n jlgTpqg[~4fhw†‡vj•g[pDjs $< ¿ € l µ$ ¿  €q <rGŒog{w4g)€ fh‘ Š ·B‡vzbmqw4g Æ ¸xŠ$< ¿ € l .Fw $ e`nop$ ¿  €q .w $@Š Æ Š€ $ ¿ € l U5:  Ž e`nop  $ ¿  €q U5 16 =q€84Q Š  mow†‡vnqzL|4Œog w4g[)e`‡vno‡vnqz  ‹- ] 6 =q€Y ™ ]» =˜ <^; [ 6  ] 6 =q€84Q Ž|4‡vgš~}|}g{d ~„|4Œqg w4g[~4mouv|<k`‘Y|4ŒqgTfhkbd:mo|4ex|4‡‰kbn k`‘  pqg{dlg[nopo~<kbnou‰sDkbn&|4Œqg~}|4ex|}g[~Jk`‘3|4Œqg/ [ 6# ] 6'=q€84Q <u‰g{‘­|4tkb~}|Gfhg[uvuv~[Š ¼Š$ ¿  € Gpqg{dlg[nopo~Gkbnou‰s¢kbnF e`n:p.&~4‡ynofhgnqkD‡vnq‘’k`w†tex|4‡‰kbn f{e`n tk]ˆ`g,‘­w†kb u‰g{‘’|. . .

(52). . |}k)w†‡‰zbŒU|{Š. $¿<€ l Dpqg{dlg[nopo~Dkbnouvs kbn  e`n:p  ~4‡vn:fhg p:mqw†‡vnqz  €H|4‡vtgL~}|}g{d:~¢kbnou‰s|4Œqg uvg{‘­|4kb~4|€   6# q  fhg[uvuy~„f{e`nœ‡vn  mqg[nofhg |4ŒqgT~}|4ex|}g[~ k`‘Y|4Œogu‰g{‘’|4kb~}|6  qfhg[uvuv~{Š. ºqŠ. . .   .   . .

(53)   . ·3‡‰zbmqw†g Æ ¶<T‚ƒ±fhkbd:mq|4ex|4‡vkbn‡vn¢|4ŒqgTd:w4kUk`‘Bk`‘  g[tteœ¸`¸xŠ. [$¿ j5M$ ¿ $ ¿  5M$ ¿  . .  b €  $¿ 5 $ ¿ $ ¿  5 $ ¿  /$¿ $ ¿  $¿  w U$ ¿  ½ N ˆH P . F . 8‘ € l  €  Je`nop €q  € J‘­k`w e`uvu   e`nop. . ž¹•|4Œqg[n e`nop exw4g<g Um:‡‰ˆ@e`uvg[n6|YrG‡‰|4Œw4g[~}dlg[fh|Y|}k 4 ¹ e`n:p žŠB‹GŒUmo~[¹@‡‰‘ 1e`n:p exw4gnqk`|Bg Umo‡vˆ@e`u‰g[nU|{¹ |4Œqg[n 5  k`w 5 Š k]r rHgfhkbmonU|D|4Œqg nmojlg{w)k`‘T‘ monofh|4‡‰kbn:~ e`nop Š cq‡vnofhg texd ~  ‡vnU|}k , X , X |4ŒqgT~}g{| rGŒ:‡vf†Œ¢fhkbnU|4e`‡vno~  g[u‰g[tg[n6|4~{¹:|4ŒqgTnUm:jlg{w„k`‘3po‡!lg{w4g[n6|„‘ monofh|4‡vkbno~ , ‡v~jlkbmonopqg[p jUs €  X  " Šƒ noe`uvk`z`kbmo~4u‰s`¹P‡‰|‘’kbuvu‰k]r ~|4Œ:ex||4ŒogDnmoj•g{wk`‘Gpo#‡ !•g{w4g[nU| , ‘ monofh|4‡‰kbno~ ‡v~„jlkbmonopqg[pDjs €  V   $ Š. U$¿.

(54) C$¿ `$ ¿ . c‡vn:fhg„g[e`f†Œ¢mqdodlg{wÁjlkbmonop,kbnž|4ŒqgGnmoj•g{wŽk`‘•d e`‡‰w†~G€ Á‡v~Že`uv~}ke`nžmqdodlg{wÁjlkbmonop kbn&|4ŒqgnUmojlg{w„k`‘€ 4   ) –i>g mo‡‰ˆxe`u‰g[nofhgTf{uve`~†~}g[~J|4ŒqgTuvg[tte,‘’kbuvu‰k]r ~{Š. . . k]r. r<gexdod u‰s)|4ŒqgTuvg[tte,|}k)|4ŒogTuve`nqzbmoexz`g. 4. .  Š. *qp =ž¶]%&: $|q”m/S&QŠ-9pCifŒŠ ‡?<  =q€84Q u‰k`z Ÿ €8=q€84Q } ?.eAq€84Q `p ƒ qtŠ l i j k ‹ Š ­ Œ [ p 7 m 8 t µ q [ Ž x p 2 m  $ / q0$ n m ŠœT‚„ƒ ‚ ixp ƒ pCils/q -tŒsKŽA/fq+*|ixpn?4D6/=q€84Q $ &|p 4 $|q /fŒŠ;1–k 4 prŒ0B K ¸ €>‚ƒ ‡ \@®®† a ·qk`w,›q”g[p 8 À .  e`nop 8 Ÿ . Sr<gž‡vnUˆ`g[~}|4‡‰zbex|}g¢e`uvuÁr<k`w†po~k`‘„|4Œqgt‘’k`w† , , € À '  À A A A@€  '   „rG‡‰|4Œ + .  È [¸ X e`n:p  + .2 È [¸ V ‘’k`w e`uvu ' .26¸

(55)

(56)

(57)  +G‹ e`nop €! + '  + 65 5 €& / '  / <‘­k`w' 5 5 0oŠP˜gf{e`uvu|4Œ:‡v~rHk`wpo~„k`‘3|–sdlg)€=8 À Y8 Ÿ Š , X , V c‡vn:fhg|4Œqg{w†gexw4gex|Tkb~4| Æ ½ po‡!lg{w4g[nU| d:e`‡vw†~€! +   / G|4Œqgu‰g[nqz`|4Œ k`‘HrHk`w†p:~ k`‘ , X , V |–sdlgž€=8 À Y8 Ÿ <‡v~Jex|Gtkb~}| Æ ½ AU€=8 À 6B8 Ÿ 61¼b Š ƒ~Œoe`~j•g{g[n%~4ŒqkNrGn ‡vnPw4k`dlkb~4‡‰|4‡vkbn1¸ È | rHk X rHk`V w†p:~exw4gžg Umo‡vˆ@e`u‰g[nU|‡! |4ŒqgD~}g{|4~k`‘ ~4mqjr<k`w†po~exw4gg moe`uŠ‹JŒUm:~{¹H|4Œog{w4gexw4g Æ Ÿ   r<k`w†po~k`‘|–sdlg%€=8 À Y8 Ÿ rGŒo‡yf†Œ , jlg[u‰kbnqz |}k po‡#!•g{w4g[nU|g mo‡‰ˆxe`u‰g[nofhgDf{uve`~4~}g[~rG‡v|4ŒLw4g[~}dlg[fh||}k 4 ¹  5  È [¸ X e`nop ,. 5; È [ ¸ V ŠG€ ·qk`w g[e`fŒœ~4moj:~}g{|„k`‘   |4Œqg{w4ggh”‡v~4|4~„kbnqgTg mo‡‰ˆxe`u‰g[nofhgšf{uve`~4~[Š ƒ~4~4mog 4 jlg[u‰kbnqzb~|}k B H  HQP €>T‚ƒš ¹P|4Œqg[n e`n e`f{fhg{do|4‡vnozT‚„ƒ m:~}|jlgDexj:u‰g ½ N |}k p:‡v~}|4‡vnqzbm:‡v~4Œ e`uvuÁ|4Œqg[~}g)g Umo‡vˆ@e`u‰g[n:fhgtf{uve`~4~}g[~{Š¢¡<s  g[tte ¸`¸t|4Œqg{w4gžmo~4|Tgh”‡y~}|e \@®\]P® X]«­ZN«’® ¯±².R. nmojlg{w„k`‘Á~}|4ex|}g[~. . ~4m:f†Œ&|4Œoex|. Ÿ X  V ^  , X Ÿ X  N , V ½  N HQP“P Ÿ V , , ‘’k`wB45 Æ X ½ V A6€=8 À 6B8 Ÿ 61¼b 6B8 À 6¼8 Ÿ Š ,  nœk`w†pog{wG|}kDk`jo|4e`‡vn ežfhkbnU|}w†e`po‡vfh|4‡vkbn u‰g{|?8 À 5;X A Æ V ‘’k`w ~}kbg,exw4j:‡‰|}w†exw†sDwex|4‡‰kbnoe`u nmojlg{wU@X ŠŽƒ dodow4k]”‡ytex|4‡vnqz,|4ŒqgTk`wpqg{wJk`‘!4 rHgTk`j:|4e`‡vn 42.Ft S € Æ , X ½ , V A6€=8 À 6B8 Ÿ } 5tS € Æ , X ½ , V A98 À [5#tS € Æ , X Æ , V A98 À [5#)S € Æ , X 8 ŸÀ , , , c‡vn:fhg =q€84Q u‰k`z Ÿ €8=q€84Q } .0q A €84Q ž‡‰|¢Œqkbuvpo~?=q€ Æ X 8 ŸÀ u‰k`z Ÿ €8=€ Æ X 8 ŸÀ } . q A € Æ X 8 ŸÀ Š , , , , j:~4g{w4ˆ`g Æ X u‰k`z Ÿ € Æ X F5 Æ X 8 ŸÀ e`nop¹J|4Œqg{w†g{‘­k`w4g`¹=q€ Æ X 8 ŸÀ )e`nop¹ Œog[nofhg`¹=q€84Q , X mo~}|„jlgšk`‘3k`w†pqg{wUq A € Æ Š.8|J‘’kbuvu‰kNrG~ X ,  HˆPfP V , X , X P“P V , X XP V ,  X ,Ÿ   N X V ½ N X Ÿ  V 5  X Ÿ V  X N V ½  X N Ÿ  V Ÿ  5  V X Ÿ X    N Ÿ X  V Ÿ  5  X Ÿ  ½  N Ÿ  Ÿ  P 5  Ÿ  Ÿ  ½  N Ÿ  Ÿ  P 5  Ÿ   ½  N Ÿ   P c‡vn:fhg š X Œ:e`~„jlg{g[nexw4j:‡‰|}wexw†‡vu‰stfŒqkb~}g[nr<gf{e`n u‰g{|J‡‰|„z`kt|}k È e`nop&k`jo|4e`‡vn 5   N Ÿ  X  V P 5 qA € Æ Ÿ  X  V Æ. ‹JŒo‡y~<‡y~„efhkbn6|}w†e`p:‡vfh|4‡‰kbn¹q|4Œmo~{¹ 4 ‡v~„nqk`|Je`f{fhg{do|4exj:uvgTjUs¢e`n T‚„ƒ ‡vn 462=q€84Q H|4‡vg`Š ‹Yk¢~4g{g|4Œoex| 4 ‡v~ e`f{fhg{do|4exj:u‰gt‡yn uv‡ynqg[exw}i>|4‡vg`¹lr<gfhkbno~}|}w†mofh|Te`n exdod:w4k`dow†‡vex|}gtT‚ƒŠ c|4exw4|4‡ynqzLrG‡‰|4Œe`n ‡vnod:mq|r<k`w†p k`‘š|4Œogœ‘’k`w† ,€ À  À A A AN€ , ' , %|4Œog T‚ƒ ~4Œo‡v‘­|4~|4Œqg~4mqjr<k`w† p rG‡‰|4Œ ‘ mouvuB~}dlg{g[p |}k&|4Œqgtu‰g{‘’|{Š  mqw†‡vnozž|4Œqg,›ow~}|&4-|4‡vtg,~4|}g{d:~ |4ŒqgTT‚ƒS)exw4~e`uvu d:e`‡‰w~!€  ' ŽrG‡‰|4Œ   ŠP¿Že`fŒ&texw4`g[pDd:e`‡‰w~}|4exw4|4~„tk]ˆ‡vnqz |}k |4Œog u‰g{‘’|)rG‡v|4Œ Œoe`u‰‘š~}dlg{g[pŠŸ¿Že`fŒ |4‡ygœeLd e`‡‰w !€  '„ ,w†g[e`f†Œqg[~D|4Œqg u‰g{‘­|žŒoe`nop. + +. (. +5. . . +.

(58) +5. +. ~4‡vpogT|4Œqg,‚ƒ f†Œqg[f†~rGŒog{|4Œqg{w QŠG‹GŒqgTd:e`‡‰w~Jk`‘Á|4Œqg‘­k`w € '„ „w†g[e`f†Œ |4Œqg u‰g{‘’|4kb~}|fhg[uvul~}g mqg[n6|4‡ye`uvu‰sjlg[f{e`mo~}g tkNˆ`g[~„rG‡‰|4Œž‘’m:uvu:~}dlg{g[pžj:mq|<|4Œqgd:e`‡‰w†~Hk`‘™‘’k`w† €  '„ Ár ‡‰|4ŒžŒ:e`u‰‘™~}dlg{g[p)kbn:u‰s`ŠÁ‹JŒo‡v~Žzbmoexw†e`nU|}g{g[~|4Œoex||4Œqgš‚ƒŸŒoe`~~4m)f{‡vg[n6|H|4‡vg |}kžfŒqg[f4&r Œqg{|4Œqg{w   Š·3‡‰zbmqw4g¼)‡vuvuvm:~}|}w†ex|}g[~|4Œqgfhkbtd:mq|4ex|4‡‰kbnŠ<‹JŒqgTj e`~4‡vf |4e`~} ‘’k`w|4Œogt‚ƒ ‡v~|}k&f†Œqg[f† r Œqg{|4Œqg{1 w   ŠT‹JŒ:‡v~ ‡y~ g mo‡‰ˆxe`u‰g[nU| |}k¢|4Œqge`f{fhg{do|4e`n:fhg È [¸ k`‘3|4Œqgšw4g[e`u“i>|4‡ygT‚ƒGi–uve`nqzbmoexz`g bŠ. +. 5 +. 5 + 9 — M  .e  ½j. .             

(59)   

(60)  

(61)   

(62)   · ‡‰zbmqw4g&¼¶  ‡vnqg[exw}i>|4‡ygže`f{fhg{do|4e`n:fhgk`‘ 4 Š ‹GŒqgžj uve`f4L|}w‡ve`nqzbu‰g[~,texw4 |4ŒqgDexw†g[e`~ 3 rGŒqg{w†g,e¢fŒqg[f4 k`‘Ž|4Œog‘’k`w† |4ex`g[~šd:uye`fhg`Š 8| ‡y~ g[e`~}sœ|}k~}g{g|4Œ:ex|š|4Œqg,j:uve`f4 |}w†‡ve`noz`g[uv~exw†gDpo‡y~ kb‡yn6|{¹3‡ÂŠ»g`Š‰¹3|4Œqg¢f†Œqg[f†~f{e`n-jlgžpqkbnogžkbnqgDex‘­|}g{w|4Œog)k`|4Œqg{w,rG‡‰|4Œ-e ›:no‡v|}g nmojlg{w„k`‘3~4|4ex|}g[~{Š. +5. . .      . ]   . .. . ‹JŒqg uve`~}|¢~}g[fh|4‡‰kbn ‡v~Dpqg{ˆ`k`|}g[p |}k |4Œqg dow4kk`‘šk`‘T|4Œqg te`‡vnw4g[~4mou‰|)rGŒo‡vfŒŒoe`~Djlg{g[n ~}|4ex|}g[p‡vn ‹JŒqg{k`w4g[ ¼Šš‹JŒqgnqgh”|~}|}g{d |}kNr<exw†p:~ |4Œqgd:w4kUk`‘P‡y~ ež|}w†e`no~4uyex|4‡‰kbn uvg[tte |4Œoex|Ge`uyu‰k]rG~J|}ktgh”|}g[n:pet~4‡vnozbu‰g dow4k`dlg{wJ‡vnof{uvm:~4‡‰kbnž|}k)e|4‡vgTŒ:‡‰g{w†exw†fŒ6s`Š . ©.OiO ^ ².PR qp[· À · ¶| &cR$|q€p ‚ Œ&ˆŠ-9pCifŒŠ7kUm Šœ› /fqp 4! $|q m /“m Š;13&–m1­q€p ƒ m<p $|q /fŒŠ;1–kprŒ B H ½ ¸ X N HQP €>TŸ ‚ƒš $ &|p7i“k Š‹Œ­pœm7-8-tqµŽ[pxm2$/fq $ nm Šˆn,‚ƒ ‚ ixp ƒ i“Š 4.6€A€ · Ÿ €84Q } pCils/q±m k) - m Š!$|q/k ƒ Œ ‚ Š!$ n˜m ŽbŽA/n|ilŠ21 *qts(s(m †ˆ†ˆ‡ :& „9p ƒ q „ /fqp$±¶0&  $|q±m -tŒŠbkOp=„&.9- pCiU$f/ qjˆ& Š9- pCi ŒŠ(m Šœ›D= À = Ÿ ¶| &c $|q?p ‚ Œ&ˆŠ-9pCi ŒŠbkk,&.- ƒ p ƒ m<p= À €C$Á€84Q } j.. a € · À €84Q } m Šœ›1= Ÿ €C$Á€84Q } .A€ · Ÿ €84Q } ‡ ƒ qtŠ B H ½  V N HˆP €>T‚ƒš "WB H ½  X N HQP €>T‚„ƒ \@®®† a ·qk`wÁ $ €84Q 6.@tS €84Q r<g)Œoe]ˆ`g1= Ÿ €xS)€84Q } €.˜Aq€ · Ÿ €84Q } r Œoex|‡vd uv‡‰g[~= Ÿ €84Q 6. Aq€ · Ÿ €84Q } )e`nop¹„|4Œmo~{¹ 4 . ’ B H ½  V N HˆP €>T‚ƒš Š ‚kbn6ˆ`g{w†~4g[u‰s`¹= À €xS)€84Q } 2. a € · À €84Q } . . ¸ È.

(63) 6. a ·. . H ½ N HˆP ¼.2A C$ R [$ À» H  H  Q5 $ R ?’  ?’ [ X Q H P H . 4 R ‡!˜À. 4 R Š&‚u‰g[exw†uvs`¹™|4Œqg  k]r pog{›:nqg4 R ~4mof†ŒL|4Œoex|K» R N 3 3  R N HˆP €=?x’ ¼b H  r<k`w†po~k`‘ 4 R exw4g,k`‘H|4Œqgpqg[~4‡‰w4g[p ‘’k`w† ~4‡vnofhg4˜. q A €CÁ$ €84Q } ŠD"œk`w4g{k]ˆ`g{w[¹Y|4Œqg{w4ggh”‡y~}|4~ e|}w†‡‰ˆ‡ve`u™qi>‘’w4g{g`¹qu‰g[nqz`|4ŒDdow4g[~}g{w†ˆ‡vnozŒqkbkbk`w†d:Œo‡v~4 |4Œoex|„texd:~ 4 R |}k±9» R N HQP 3 H H  4%.˜ bŠƒ uy~}kq¹4 R jlg[u‰kbnqzb~ |}k)B o†¸ €>‚ƒ ~4‡ynofhge`n ‚ƒ f{e`n ˆ`g{w†‡‰‘’s ‡ynœw4g[e`u‰i>|4‡vg |4Œoex|Ge`nœ‡vnqd:mq|  jlg[u‰kbnozb~„|}k 4 R ¹ X R HQP ˆ H P H R 3 3 4 | o Œ  g ‰ u [ g o n ` z 4 | œ Œ ` k P ‘ 4 | o Œ  g < r ` k † w  p » N  N €= x’ ¼b H . 4 R ‡v~Gg Umoe`uY|}k¢|4Œqg,u‰g[nqz`|4Œ  k`‘[ ¹:e`nop  |4tŒ:k`exw4|d:4-Œo‡v~†‡v~  g U|4Œ:m:exe`|GuQt|}k¢ex|4d:Œq~ gnmo|}k jl9g{» wR k`HQ‘ P 3 Ä H ~ ‡vH n  Y42€= .e  rGbŒoŠ g{w4g pog[nqk`|}g[~|4ŒqgŒqkbkxi 4 R N ‹JŒmo~{¹b‘’w4kb nok]r kbn)rHgG)e[se`~4~4motg„rTŠÄuŠ»kqŠ»zqŠ6|4Œ:ex|P|4ŒqgJr<k`w†po~Ák`‘ 4 R exw4gJk`‘l|4Œqg„‘’k`w† » H  H r ‡‰|4Œ# €5G$Á€84Q  Æ 43Š X ·qw4kb Žw4k`dlkb~4‡‰|4‡‰kbn>9œ‘­kbuyu‰k]rG~|4Œoex|,|4Œqguye`nqzbmoexz`g 4 À € 4 4 R Hj•g[uvkbnqzb~„|}k B H ½ ¸ X N R  N HQP“P €>T‚ƒš ŠŽ¡<sD|4ŒogTe`~4~4mod:|4‡‰kbn¢kbn7= À €CÁ$ €84Q } Hr<g k`jo|4e`‡vn = À €84Q 5 = À €CÁ $ €C$43 À €84Q } } . a € · À €C$43 À €84Q } } )e`nop¹|4Œqg{w4g{‘’k`w4g`¹ 4 À € 4 4 R F. B H ½  X N HQP €>T‚ƒš Š 8|„w4g[te`‡vno~J|}k)~4ŒqkNrS|4Œoex| 4 À € 4 4 R ) . ’ B H ½  V N HQP €>T‚„ƒ Š c‡vn:fhg?= Ÿ €CÁ $ €84Q } ±.A € · Ÿ €84Q } e`nop 4 ‡v~,nqk`|te`f{fhg{do|4exj:u‰g&r ‡‰|4Œo‡vn24 6 qA € · Ÿ €84Q } |4‡vg js e`nUs%T‚ƒ¹B|4Œqgžuve`nozbmoexz`g 4 ‡v~nqk`|e`f{fhg{do|4exj u‰g)rG‡v|4Œo‡vn/476= Ÿ €CÁ $ €84Q } |4‡vtgtjUs e`nUsŸT‚„ƒ¹ g[‡‰|4Œqg{w]Š  mqg|}k |4ŒqgLe`~4~4motdo|4‡‰kbn¹ jUs  g[t)eŸ¸`¸‘­k`wœg{ˆ`g{w4s  .G |4Œqg{w4gmo~}|gh”q‡v~}|~}g{|4~  e`nop e`nop1e`n 4 .Á ~4mofŒ |4Œoex|)e`uvu<r<k`w†po~t‡vn exw4g k`‘Huvg[nqz`|4Œ28 À ¹™e`uvuBrHk`w†p:~‡yn exw4g,k`‘Hu‰g[noz`|4Œ28 Ÿ ¹™e`n:p |4Œog,nmojlg{wk`‘ € 4  . t –i g mo‡‰ˆxe`u‰g[nofhgšf{uve`~4~}g[~k`‘Y|4Œqg rHk`wpo~„ex|Jkb~}|k`‘3u‰g[nqz`|4Œ4He8 À 8 Ÿ ‡v~nqk`|jlkbmonopqg[p , , js  X  "  N V ½  V N R N HQP“PfP    Š e`nop¹Q|4Œqg{w4g{‘’k`w4g`¹= À €84Q € À €84Q } Š 8|š‘­kbuvuvk]rG~ 4! @B  X €>T‚ƒš e`nop¹BŒqg[nofhg`¹ |4Œqge`~†~}g{w4|4‡‰kbnŠ  nœk`w†pog{w |}kDdow4kNˆ`g|4Œogu‰g[t)e)‘’k`w&4 q€ Á€84Q } Juvg{| 4 jlgeDuve`nqzbmoexz`g|4Œoex|dow4kNˆ`g[~ |4Œqgšfhkbno~}|}wmofh|4‡‰j:‡vuy‡‰|–sk`‘ œ‡yn  g[tte¾ŠŽƒ|„›ow~}|rHgT~4Œok]rŸ|4Œoex|r<gTf{e`ne`u‰re[s~›:nop  ~4mofŒe`n 4 rGŒqkb~}gšr<k`w†po~Gexw4gTk`‘B|4ŒqgT‘’k`w† rG‡‰|4Œ Á8€ 4Q=  Æ 43Š ¡<s x¼žr<gpog[nqk`|}g|4Œogr<k`w†p fhkbdow4g[~4~4g[pœjs|4Œqg‘’e`fh|}k`wT¼¹‡ÂŠ»g`Š‰¹lkbnqg~}sjlkbuQk`‘ x¼)‡v~„‡vnU|}g{w4dow4g{|}g[pœe`~„|4Œqw4g{g~4sjlkbuv~k`‘ TŠ . . . . . . . . !. . !. . . .  g{›:nqg.  5;U€  À Y» A A Ax€  , X Y» U% 5  À

(64)

(65)

(66)  , X .   e`nop.  5MU € À A A A`€ , V U!5  À

(67)

(68)

(69)  , V . ( e`nop&‘’k`wJg{ˆ`g{w4s¢r<k`w†p . 5  À A A A  H 3 , X 3 , V e,r<k`w†p   js   5 €

(70)  À Y À A A A@€

(71)  H 3 , X 3 , V9 Y H 3 , X 3 , V{ h€ 7 Y H 3 , X 3 , V ½ À A A A@€ 7 Y R N HQP 3 , X 3 , V , , rGŒqg{w†g6» X  À A A A` R HˆP , X , V V ‡v~e)r<k`w†p k`‘ 4 R Š€

(72) Jg[tg[jlg{w |4Œoex|g[e`f†Œ r<k`w†p 3 3 N ‡vn 4 R ~}|4exw4|4~„r ‡‰|4Œ 4~}sjlkbuv~¢ » e`nop¢g[nop:~„rG‡‰|4Œ 4~}sj•kbuy~ e`n:p8 À 6B8 Ÿ ^ 43Š ·qk`w  .  e`nop  . u‰g{|  e`n:p   pqg[nqk`|}g|4Œqg,fhk`w4w4g[~}dlkbnopo‡ynqzrHk`wpo~ ‡yn  e`nop. Š . . . ". . ". . ¸`¸.

(73)  @.    .      .   . ¡<s fhkbno~}|}wmofh|4‡‰kbn   4! ‡#!   4 À Š € ‹JŒqgDrHk`wp2  jlg[u‰kbnqzb~|}k 4 À ‡v‘ |4Œqg,~}g[fhkbnop fhkbdlkbnqg[nU| k`‘   ‡v~etr<k`w†p ‡vn 4 ¹ r Œo‡vf†Œ ‡v~Ge`uvr<e]s~|}w†mqg`¹le`nop |4Œqg ›ow†~4| fhkbtd•kbnog[n6|šk`‘   ‡v~šerHk`w†p‡yn 4 fhkbnof{ex|}g[n:ex|}g[p rG‡v|4Œ~}kbgtj:uye`nqœ~}s,i jlkbuv~{¹‡ÂŠ»g`Š‰)¹   4 Š ‹JŒmo~{¹6|4Œog,€ 4!   t –i>g mo‡‰ˆxe`u‰g[nofhg f{uve`~4~}g[~<Œoe]ˆ`g fhk`w†w4g[~}dlkbnopi ‡vnqz € 4 À   –i>g Umo‡vˆ@e`u‰g[n:fhgf{uve`~4~4g[~ e`nopœ|4Œqgnmojlg{wGk`‘G€ 4 À   –i>g mo‡‰ˆxe`u‰g[nofhg f{uve`~4~4g[~Žmonopog{wP|4ŒqgGr<k`w†po~ŽrGŒqkb~}g u‰g[nqz`|4Œt‡v~Hex|Hkb~4| Á8€ 4Q2  ‡v~Pnqk`|Hjlkbmonopqg[p À  , ,   Š js  X  "  V SV ƒ dod:u‰s‡vnqz  g[t)e¸`¸rG‡‰|4Œ 4 À )¹  )¹ e`nop Á8€ 4Q B‡ynd uve`fhg„k`‘ 4 ¹ %)¹ ±e`no p 4¢s‡‰g[uvpo~ |4Œoex| 4 À B  V €>T‚ƒš ŠŽ‹JŒ:‡v~fhkbd:u‰g{|}g[~G|4ŒqgTdow4kk`‘8Š.  ..   N ½ .’ H ½. . N R N HQP“PfP N HQP.   ±8 ±8 Ÿ. . . ¼t‡v~ }m:~}|Jetfhkbj:‡vnoex|4‡‰kbnk`‘Y|4Œqgdow4g[fhg[po‡vnoz,uvg[tte`~{¶. Ÿ | & j•g| rHk‘’mon:fh|4‡‰kbno~3~4mofŒ|4Œoex|= Ÿ A>u‰k`z Ÿ €8= Ÿ .Aq€8= À B H ½  V N HˆP €>T‚ƒš "WB H ½  X N HQP €>T‚„ƒ . ©®:\@©.O Pa  g{|.= À = ¶ e`nop7= À À ‡v~„fhkbno~4|}w†mofh|4‡‰j:uvg`¹q|4Œqg[n. 3. . j$.   $. ·3‡vnoe`uvuvst|4Œqgte`‡yn&‹JŒqg{k`w4g[. LNM. R. @\ ®® †a Žw4k`dlkb~4‡‰|4‡‰kbnt¸ Æ ~4ŒqkNrG~Q|4Œ:ex|Q|4ŒqgHdow4g{ˆ‡‰kbmo~4u‰s pqg{›:nog[puve`nqzbm:exz`g 4 ‡v~Qe`f{fhg{d:| i exj:u‰gP‡ynšuv‡vnqg[exw}i>|4‡yg3j:mq|™‡v~nqk`|Ye`f{fhg{do|4exj:u‰gŽ‡yn-46=q€84Q |4‡vgŽ‡‰‘ =q€84Q u‰k`z €8=q€84Q } q€84Q Š k]r ~4g{| À 8€ 4Q 4e`nop ~†mof†Œ&|4Œ:ex| 8€ 4Q u‰k`z € 8€ 4Q } 43Š  no~}g{w4|4‡vnoz1s‡‰g[uypo~ =q8€ 4Q u‰k`z 8€ =q8€ 4Q } € 8€ 4Q u‰k`z € 8€ 4Q } } Š ˜g%fhkbnof{uvm:pq5 g =q€84Q q€ 8€ 4Q } De`n:p¹ |4Œmo~{¹ 4  ‡v~&nqk`|e`f{fhg{do|4exj:uvg ‡vn 4 6 q€ 8€ 4Q } ž|4‡yg`Š 8n k`wpqg{w&|}k exdod:uvs  g[)te&¸[¼r<gfhkbno~4‡ypqg{w„|4ŒqgTfhkbno~}|}wmofh|4‡‰j:u‰gš‘ monofh|4‡vkbn = À À Š. . U· 5. A ·Ÿ. ·Ÿ. Ÿ. U· Ÿ ˜.VA · Ÿ. Ÿ · Ÿ 5 Ÿ ·Ÿ MA · Ÿ. Ÿ. $ 5 3. . A. B.. C$ 5 e. a €84Q [5 a € · À €84Q } Š Ÿ Ÿ . A€8= À €84Q } HrHgŒ:e[ˆ`g Ÿ = Ÿ €CÁ $ €84Q } u‰k`z Ÿ €8= Ÿ €CÁ$ €84Q } } .A€8= À €C$Á€84Q } } [5 Aq€84Q 5 Aq€ · Ÿ €84Q uvk`z Ÿ € · Ÿ €84Q } } ˜gfhkbn:f{uvmopqg-= Ÿ €CÁ $ €84Q } j.qA € · Ÿ €84Q } Š  k]r e`uyuJfhkbnopo‡‰|4‡vkbno~k`‘  g[tte ¸[¼Lexw4gœ~4ex|4‡v~4›og[p e`nop1e`nexdod:uv‡vf{ex|4‡vkbn dow4k]ˆ`g[~)|4Œqg e`~4~}g{w†|4‡‰kbn)B H  V HQP €>T‚ƒš W " B H ½  X N HˆP €>‚ƒ Š  ½ N      #“¸ $¡mofŒoŒqkbu‰ `¹‹JŒŠ‰¹Tu‰g[‡vn¹JƒŠ‰¹ e`nopTmq|}w†‡‰jQ¹B"LŠ²‹ª´Q¬b ª  ¤ˆ²‹ªO¥ £¦Q§%© ª{« «¬ž«¦ˆ® ¦Q® ®µ¦ˆ§ `Š " ex|4Œqg[tex|4‡yf{e`uo·qkbmonop:ex|4‡‰kbno~3k`‘™‚<kbd:mq|}g{wHcqf{‡‰g[nofhgš¸ (%(  ¹   ‚GcD¸hº 0 È ¹ ¸ (%(   ¹ dod™Š È 9  ¸ 0Š # Æ $¡mofŒoŒqkbu‰ `¹™‹GŒŠ‰¹ Tu‰g[‡yn¹•ƒŠ‰¹Qe`nop

(74) mq|}w†‡‰j™¹ " Š ² ¢x¦ « «-§ «¦ˆ²–´–¬|¦O´žª ¦Q ²  ´žª ²™ª ®t¥ ¦ˆ«-¶ 9ª (¶ ²b¢rª ®µ¦Q©9¢C¶f²–´ ¦ˆ¬<¢x¤ F¦ˆ¢x:¦ Š  g{ˆ`g[u‰k`d:g[nU|4~„‡vn  e`nqzbm:exz`gT‹JŒqg{k`w4s Š·qkbm:ni ‚u‰g[exwu‰s`¹= À € Á€84Q } 4 c‡vn:fh g = 8€ 4Q u‰k`z €8= €84Q } . . . . . p:ex|4‡‰kbno~{¹oƒ dod:uv‡yf{ex|4‡‰kbno~{¹e`nop Bg{w†~}dlg[fh|4‡‰ˆ`g[~[¹ ÆxÈ`È`È ¹:dodQŠ:¼¸[¾ ¼ Æ 0Š. ² ¶ ²b¢rª ®µ¦Q©9¢C¶f²–´ ¦ˆ¬<¢x¤F¦ˆ¢x¦2£[¶ ¢ . #»¼;$¡mofŒoŒqkbu‰ `¹B‹JŒŠ‰¹Tu‰g[‡vn¹YƒŠ‰¹3e`nopmq|}w†‡‰j™¹" Š IF   F  F&Š<·omonop™Š 8nq‘’k`w†&Š™€ ÆxÈ`È ¸] ¹l|}k)exdodlg[exw[Š. «¶ €¶ ¢rª ²‹¤ˆ² –ªO¢rª ® €¶ ²b¶. ²˜® ªY¦ «¥o¢C¶CFª©tª{« «-¬­«¦ˆ®/¦Q¬­¢x¤ F¦Q¢x¦ ¦ˆ² ¢C®µª «f«¶. # º $‚„Œqk!•wmq|{¹Á‚ ŠYe`nop‚ mouv‡‰  ¹ Š F oŠƒ fh|4e 8nq‘8Š Æ ¸)€ ¸ ( @ºU ¹¼%(`¼ 6º È 9UŠ. ¦Q¬­¢x¤ ¦Q¢x¦. . ¸ Æ.

(75) ²‹ª ¥o£¦ˆ§ Y¤ˆ¬<²–ª”© ª «f«¬­«¦Q®¦ˆ¬<¢x¤F¦ˆ¢x¦:Š  nq‘’k`w†&ŠN‚<kbnU|}w4kbu`º`º€ ¸ (  È ¹. #)0;$  `s g{w[¹b‚Š Š  Æ ¾¸ Æ ¸xŠ. . ª ²™ª ®µ¦ˆ¢C¶ ¤Q² ¤ ™®t¶ ª  §±¦ ¤ˆ²‹ª ¥ ˆ¶ ª ² {¶ ¤ˆ²‹¦ «*® ªY¦ˆ«-¥o¢C¶CFª¶ ¢rª ®µ¦ˆ¥  #:9 $D8j:exw4we¹<Š.ŠPe`nop Be`uy‡v~{¹ " ŠPƒŠ ‹¤ Fª® ª t¬­«I¢ ©`¤ˆ²7©tª ®t²b¶ ²–´ «-¶ ²‹ªY¦Q® ¶f¢rªO®o¦ˆ¢C¶ ª ¡Et§t¢x¤ˆ«-¶=©µ¨±¦Q® ®µ¦ˆ§`Š oŠ Bexwe`uvu‰g[u™e`nop  ‡v~4|}w†‡‰j:mq|}g[pœ‚kbd:mq|{Š Æ € ¸ ( % 0b ¹3¸  Æ Æ ¸  Š #;$" ex {k]s`g{w]¹ qŠe`nop¢‹Yg{w4w†‡‰g{w[¹ Š 7¶´Q²‹¦ « ”¶ ²¤ˆ²‹ª ˆI¶ Fª ;² {¶ ¤Q²7¦ «4©tª{« «-¬­«¦ˆ®¦ˆ¬<¢x¤ F¦ˆ¢xo ¦Š ‹GŒqg{k`w4g{|{Š•‚<kbtd:mq|{Š cf{‡ÂŠ Æ ¸ 9œ€ ¸ (%(%(b ¹ 0`¼  È Š #)(;$‹Yg{w4w†‡vg{w[¹ Š ²B® ªY¦ « ¢CC¶ Fª ¤Q²‹ª ¥o£¦ˆ§2© ª «f«¬­«¦ˆ® ¦ˆ®t®o¦Qo § Š ‹GŒqg{k`w4g{|{ŠP‚<kbd:mq|{ŠÁcf{‡ÂŠ #»¾;$·3‡v~†f†Œqg{w[¹ YŠl‚Š   IF   IF ;  o Š qŠoƒ~4~}kfxŠ•‚<kbd mq|{Š œ " e`fŒŠQ¸ Æ € ¸ (`¾%0b ¹l¼  ¼%(@ºqŠ. ¢C¶ ª€¦ˆ®t®µ¦ˆ§. . .

(76) . ¸hºo¸D€ ¸ (%(%0b ¹l¼`¼¸  ¼`¼%0Š. ¦ˆ²–´–¬<¦9´žª ²7¤ˆ¢® ªY© ¤Y´Q²b¶ O¦ {«lª¼¶f²#® ªY¦ˆ«”¢C¶ ª  §%¤ˆ²‹ªO¥ £¦Q§%© ª{« «¬ž«¦ˆ®  . #“¸ È $‹Yg{w4w†‡vg{w[¹   Š  CF F oŠ‹JŒqg{k`w4g{|{Šl‚<kbd:mq|{Š cqf{‡ÂŠ¸ 0`¾œ€ ¸ (%(`¾b ¹ Æ ¸ Æ 9UŠ. ¦Q¬­¢x¤ ¦Q¢x¦. ¸[¼.

(77)

Referenzen

Jetzt herunterladen ( PDF - 14 Seite - 226.45 KB )

ÄHNLICHE DOKUMENTE

On one-way cellular automata with a fixed number of cells

kC-OCAs can be algorithmically minimized, but up to now we do not know whether there exists an efficient, Le. polynomial time minimization algorithm. At first we show that a

On two-way communication in cellular automata with a fixed number of cells

We studied the descriptional complexity of cellular automata with a fixed number of cells and several amounts of two-way communication ranging from no two-way comnlU- nication

A review of quantum cellular automata

To see that there are QCAs that cannot be expressed in terms of a Hilbert space of finite, unbounded configurations at least without adding local ancillas, consider that

On time computability of functions in one-way cellular automata

Ç UVS7IMQ*S,XVMb7b=MYu–gYK WK-^TYXdUVSp\n KDOoT \jTYb b7Q*ODKtS7I*TS Udb=PaK-^ UVM[c*UdLh ‘ W„S7IK L-TYbeK]UVSwUdbtQ*XVS7UdOTSeK

On the power of one-way bounded cellular time computers

Aêà

One guess one-way cellular arrays

[r]

Real-time language recognition by alternating cellular automata

w UK_a_`pm_aY\jei[2YPWoUKet†;T2^aWlT Y\jdU']yfRpmk2VUKbifbdTVU!_cUZhzbsvYPkm pmkŸ]„fRp2kmVUK bif?bdTVU'jl^cnRTŸbÆx

Automata-based refinement checking for real-time systems

Based on the (timed) automata used to specify the abstract and refined model of the system and the verified properties, we automatically select the most suitable refinement