Examples of abstraction

Transcription

1 bc epe cple pplc ck u c u edu ~pcu de~cu Dgued Lecue ee Ge & Hll ee d udu U bug pl bc bc epe bc cuce pp cl ucue ued l decp cple e e eece ec cbl udecdble Deelped le eee w d u e ce ppled pec cpue cece uc c l ec cc eece pe eece e eece del-ceckg bc eee cludg kg cb dec pcedue ecu l deec dbe quee ec e ecel e blg e lk wll c duc bc bc epe duced edlg ec deelpe ud bc epe-bed l Eple bc wll pded pg g ecbl peldee e uecl pepe bc ll pplc cludg dul ue d e blg Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 3 u bc epe cple pplc j wk ck u d u c u edu ~pcu de~cu Eple bc Dgued Lecue ee Ge & Hll ee d udu U bug pl Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

2 el p J el bc cwd Heg ddul eg gep Ee cl wwwpepelc3w-uc-pel--eeded-e--p-ce-ed ge ced gp J el Dgued Lecue ee U bug pl 5 u D Dgued Lecue ee U bug pl u ld de e ld pcue p ce e uc bc epe w eple bc eew ew pplc gg wk ec e ccee lw ll-kw bc duc bc epe pplc c-pcl e ee Jule ee ck u d u Jéôe ee Lue ubge e é & e l c l Vec epce bc epe ec@@epce l Geg ec ue euc uc pl Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 8 u

3 Eple eg cpul ucue udel Dgued Lecue ee U bug pl cec eec cc wk wd uc cece ucue cge g uel pcple pue cece wk wd dpe pcelz cllec lcl ecque cpul ucue g pecc pplc epel pce wll p u WE ecu pcle Opel c e blg ec l bc Dlw del del Dbe eee l ceckg l que l pe g Obuc Depedece elu eece Del l ep Eec G e EG lgc l ee g e cl ce cb p del-ceckg bc pe de epl ce blc eg del l cc p eecu l ceckg l bblc Quu eglee ul deec ec deec le de g pe eggp ecg Dgued Lecue ee U bug pl gp Eple eg cpul ucue bc epe WE ecu pcle Opel c e blg ec l bc Dlw del del Dbe eee l ceckg l que l pe g Obuc Depedece elu eece Del l ep Eec G e EG lgc l ee g e cl ce cb p del-ceckg bc pe de epl ce blc eg del l cc p eecu l ceckg l bblc Quu eglee ul deec ec deec le de g pe eggp ecg u Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

4 ppled uc bc epe e ck u & d u Véc que de l céece dque de e pp du c EO 5-35 Lbe G Ue Geble ce 5 pge 3 epe 5 ck u & d u c Dee Dc pee g ed ceedg ecd el pu gg ce pge 3 pl 3-5 Dud ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 ck u ec ud l ucck & D Je ed g lw l e pplc pge 33 3 ece- Hll c Eglewd l ew Jee U 8 Dgued Lecue ee U bug pl 3 u Dgued Lecue ee U bug pl 5 u ll cpue ce e epeeced bug % $ $ % & ' $ % ec eckg peece bug ge g bece ee e Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

5 p ed ce 8 ud equecg ll p duc p llw edel cce bjece duce e l l l e ceckgec ed gue p ed L ee w wdeg e ee w wdeg O? ee equecg O cez e l ud duce pecc ll cce ` ee ed ce cce l clled ccez p ` ` ` cee p p duc llw edel ud e e ceck l clled pecc duce l l e bed w edel ud cpue l ed ge duce cce p? e l pl uc cpde w cege ceck e equecg pe e e b Eple cpec pl wdeg O e ee lce w L ee w ee w wdeg O? llwg ] bc lzed Gl cec cu ceg uce bc e l?uce cu ee w bc p cege l e uc el e-cu cd e p eg L ee w wdeg ee wdeg O? e bed w p epecel e-cu cd ceg plee bc l uc p? cege l 8 8 L p uce cu ple bc bc e ] e ele e pl cpu e eed ceg e bed cpu bc u cd p pp ] e ele e e pl e e eced ee L bc wc e -le equl u cd c eced 3 p ee ujece ece ccez jece eele 3 p cuu 3] bece ] e c elee wc -le equl e e pl cpu e eed e pl c ge p L l eul c bed jece ece ujece cedl ee ul ld cuu 3] 8] bece e pl c ge D 3 p ccez uc ] -le equl bc l eul c bed bjece 8] uu 3] bece e bc ccez uc ] ccee e pl p c ge p Ge ccez D eul bed e e e pl cpu e eed c cce 8] gp cp lce w guge w deec p z uc ] gp ce cce e el bc L D w cce cce uce cu g lguge deec p- p pble e ce e cd ll e el cd J epecel e-cu e dug eecudeec pequecg lee l cg equecg l c ge p K dec pble e -ep pel ple u e el p bc lce Eple pl ede ucce e dug eecuc ] ecg l e le e cpul de l l l l ep p pp ] e l u e ll-ep pel u pcul pl lce e eblckdug eecu e p e l e e-]cu c clculed 8 e pl eced ee l e ecg uc e u gp l pl cd lce cpul de bc w eecu e -ep eecu eblckpcul pl e eecu cg l de elee -le equl -ep pcul pcul pl -ep pl e cpul wc e p e eblck gp geeed c geeed 8 uc e eul ld clculed cuu 3] bece p bc w e e l e uc ec uc Kc geeed 3 e eg clculed bc bc w gp eul eece l bed c 3 8 K 8 e ug l ccez uc ] 8 bc 8 5 pee J e e leg K ll e epeed llwg ] elee e 8 c -ep e 8 e wc e e wc pee e e ep 5 cde g lguge p u lce 5 pee ll e leg l e e e w deec l leg llwg e epeed el ele ll e elee e p e e e -ep e e g e ] l de llwg ] e epeed dep wg e bed e e e e cllecg dec ge pble ew e e ub ewc e ep e e wc wc plee l ] ep e l e p e e eecu ppe w e e dug e ede ucce e cce e l d e bed c clculed bc w ll-ep ppe bc d e e bed llwg pe wg ce ce wg ] e pel e bed p ed ll l gue pecc duce ce clled ed ce -ep de pe e ceck l e pl ed d ll p eecu pl pl pcul equecg e ceckgec ed gue p ed d ge duce ` e de pe e ceck -ep kgec ed gue ed equecg eecu pcul pl c `geeed `l ` l ge p equecg pl l e dec cpu e uc pl lled pecc duce -ep eecu pcul l l e geeed cpue ed duce pue uc ed bc Gl ceckgec ed cecgue p ed lzed l ge duce geeed e uce l l l -ep eecu pl c e llwg eg pe bc e ceck g lguge geeed e pcul uc ] lzed cecll-ep pel pl clled l pecc duce Gl e l cpue ed lzed ge duce llwg ] bc Gl cec` ` ` ` e p eg duce l l ceck gec ed p gue e geeed pl e pl cec pe ceck ed e e p ceck eg 8de -ep eecu pcul uc e llwg ] bc lzed Gl 8 e e pl e p eg ed 8 8 ececkgec l ge duce ed e pl ed -ep eecu pcul pl 8 gue p ed 8 8 geeed e uc 8 d gue p 8 ] ed e p egeecu -ep eecu pcul pl lwg 8 eg bc lzed Gl cec bc -ep uc pcul pl 8 ec l del cpu cpue l ed ge duce geeed e 8 bc d duce geeed 8 Gl ge cec 8 8 uc uc p e bc e eg llwg ] bc lzed Gl cec geeed e eecu 8 cez jece cec Gl lzed c jece eg 8 8 bc ujece ece ccez 8 8 ece e p eg ce ccez jece 8 ece ujece ee p eg ec d 8 bc ujece ccez ece jece ece ujece 8 jece ujece 8 jece e ece 8 bc bjece jece l 8 e bc e ece ccez jece ece ujece e p ccez 8 e bjece p bc l gp 8 Ge ccee ccez e l e lce cp ccez w p l bjece bed e ccee p ccez ujece ece jece e cc e e jece ece ujece bed e l cp w ez jece lce ccez e b e bed gp Ge ccee p ee lce cp w uce cu e bjece e bed b bc uce decp jece ece ujece l bc e w cu lce cp ce ujece bc cd uce cu bc e ccee p ccez epecel e-cu bc e l gp bjece u ec -8 cd u cd epecel e-cu ck g uce cu bc e l ebed J cp w e e d Deg ewk OL l bc ccee lce epecel e-cu cd le p bc Ge p ccez l e bed e bed b ccez 8 ple p bc gp cd epecel 8 uce cu c cd e-cu lce cp w ple p bc p ] e ele e e pl cpu e eed bc e bed w ] cp ce cu 8 ep p pp e ele e e pl cpu e ee cpu ele c ple p bc cd 8 cu p eced epecel e-cu uce bc ep pp ] e d ee bc e eed e e pl bc uce cu e-]cu c eced ee 8 p cd bc 3 p e ep pp ] e ele e pl cpu e ee e wc e -le equl cd ple p bc -]cu cd c eced ee cd epecel e-cu cd p e -le equl 3 elee bece wc eced pecel cd pl eed e-cu 3 p e-]cu c ee ld cuu 3] 8 cd elee wc e -le equl ep p pp ] e ele e e cpu e e pl c ge p cuu lple p bc p eul ld bece 3] 3 eed e ] e pl p e bc e c ge p ele e e pl cpu e g cd elee eced wc e bc l eul c bed equl e eul l ld cuu 3] bece -le ]cu c ee 8] e pl c ge p ep p pp ] e eece bc l eul c bed ele e e pl cpu e ee 8] e eul l ld e cuu 3] e ] c bc l ] ele e pl cpu e eed 3 p ece ccez eul c bed e-]cu elee uc wc e -le equl bece ee c ge p e pl 8] ] ug l e bc ccez uc cd c eced ee 3 p gp gp equl eece bc l eul c bed ge leul e ld bc c eced ee uc 8] c l ccez cuu 3] bece ] equl gp 3 e pl p p ge elee wc e -le J eul c p gp 3] bece p ug l e bc ccez uc ] c ge 3 ece wc e -le pl equl bc l bed e 3] gp bece 8] pl e eul l ld cuu bed gp c p ge e gp c g lguge w deec p J cuu 3] bece l e bc ccez uc ] 8] e pl c gp ge p eece bc l eul c bed cde g lguge w deec p uc 8] deec ] e e el c eul bed gp ec de l g lguge w 8] p l gp gp bc e uc ug e ll ] g e e ccez el gp cde g lguge w deec p e dec pble e c ccez uc ] e ll e el pble gp dec gp e J p e e gp g g e ll e el e ucce e dug eecu dec pble de lguge w deec gp e eecu e ede ucce gp dug ec p e dec e e ll-ep pel pble e ede ucce e dug eecu u lce e e ll el gp ] e ll-ep pel cde g lguge w deec p u lce ede pble el e ucce e dug eecu ecg l e g lguge w deec p ] e ll-ep pel dec e cpul de u lce ecg e lel e g e ll e e de lce cpul eecu u e ] e ll-ep pel e eblck e e e el e ecg l e ede ucce dug cpul de e pble e p dec eblck e p e c eecu e e ecg l e c pble lce bc u ] ll-ep pel e eblck e 8 ucce e eecu cpul de e ede w p e dug clculed g e e 8e u clculed bc w lce e eblckucce dug e eg e Deg ecg e e ll-ep eecu l u clculed de 8 cpul e p c e u bc w ck] de u ec g l ewk OL -8 pel lce be eg gp l e lce cpul de 8 ll-ep pel e eblckg e e 8 u gp eg clculed bc w e p e ecg l e cpul de blck gp ecg e be e eg e p e e l 8 cpul de w clculed bc eblck p gp e Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u cee Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

6 8] L cpul e p bc de c c pl ge e ele l eed p e e cpu e ] e e p ele e e pl gp cpu e eed p ge c e e e pl cpu e eed e bed clculed c cee le w eced ee bc D gp p le p 3 p p 3 wc gp e -le equl D gp ccee ep gp 8 g ppe pble 8 c pbc bece e ge p cuu 3] pl e pl c ge p gp L l c p ge 8] D l eul c bed 8] gp V V 8] L D ccez uc ] p K ppe cee d e gp e cpu e eed e pl lce gp 5 pee u gp gp D D c cpul de e epeed gp llwg ] elee 3 p D D gp K lce lguge w p u geell p _ wc _ e deec e wc e e ge epl c p e el lce w p clculed u bc e e le llecg p 8] pble e de L l e p 8 gp dug eecu ge ppe ce e L e p clculed bc w ge cllecg e u pel gplce ll-ep u lce gp clculed bc w ppe w u cpul de lce V ceg cuu K ecg l e gp ceg cuu e cpul de gp ppe bc l de e p K e eblckk e p ple ll p 5 pee uc clculed bc w e 8 clculed bc w e c clculed bc w llwg ] epeed elee g gp _ Q 3 e Q gp wc e wc K gp ee ee e uelee lce ee epeed e e dl lee e ele bc ] e epeed elee pul de e wc Eple ccee ppe bc cllecg ce e wc e p 5 e e ge pee cllecg 5 pee e e e e equece bc ecde ccee ppe eg c clculed bc w5] ppe w ppe ceg cuu u e e? e? u pee ll e leg llwg ] e epeed elee c ple bc e lgcl ul bjec ec ge ppe e deec wc e llwg ] e epeed geec elee ll eecu wc gp e e -ep e e wc e e ecg g ] e epeed ge elee w wc e e wc uc e ep e bc ppe d e e pe w e e wc c e ] cled el wle e ec ppe bc c e e bc Q Q wg le e peed pe ppe cllecg cled g ge pee uc ple e cllecg ge ] ub ppe w ge cllecg ll ccee ecde eleced ee cllecg ge e lee e ele Qlgcl Q dl ppe w plc epeed cce e ppe bc llwg ] e epeed elee ppe w e cllecg w ppe bc cllecg 8 Q Q e ppe bc 8Q Q Q 8 8Q Q Q c e e wc ee e ele ppe bc uc ge? u uc pe wg l lee e ele c e e bc cllecg e e 5] eppe uc de e e e ppe bc cllecg Qwc Q ple ll eecu e deec Q Q e e 8 5] e Ke e cllecg ge Q Q e dl lee e ele d leg e w g e 5] eg u e deec wc ppe 8 e dl e ele ] cled el lee wle 8 wc ele ppe bc cllecg e eecu deec e ppe bc dl lee e cllecg cled g peed ppe el le bc e e bc cllecg el uc wle ppe cled ge cllecg ple ll e e 5] e 8 -ep 8 e le el wle cled cled g peed e- Q Q lgcl plc e epeed e 8 8Q 5] ple ll eecu e deec wc bc ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

7 LD e e ce wg wg D e e cllecg ge ge D ub cllecg ub ppe ppe w w e cllecg ge L D e cce cce? D Eple bc ecbl?? bc? D e e ppe ppe bc bc ppe w e L ccee bc e ppe bc uc uc ecbl ppe e bc p e wg wg e e e e uc c eced dug L eecu DQ? L Q Q Q 8 8ge l e???? e g leg e 8 O O ued ceg bc Q Q e e dl dl lee lee e e ele ele el ce e Eple bc D ppe ppe bc bc D cllecg cllecg dl e ele Ge equece wdeed eq el ee el lee Z ` ` e Z Z ` lue e ` ]ppe ` el Z bc ] Z `? ` ] ` Z? `? cllecg bc cllecg ep p e bc O e e e e 5] 5] ee cludg - e? e e deec L wc pleple ll ll eecu eecu ee deec wc e ele 5] e ep cege l ` uc 8 ` ple clue llpe g ug clue peeecu e deec wc L wle Lwle ] Z cled el el cled ` ` Z ] le g g peed cled el ]? le cled cled wle peed Gl ] e equle equle ` Gl ge p p g g 8 8 le ge cllecg cllecg ple ll ll cled g peed ple lgcl lgcl plc plc epeed epeed ge cllecg ple ll lgcl plc 5 epeed ck u & d u Véc que de l céece dque de e pp du c EO 5-35 Lbe G Ue Geble ce 5 pge 3 epe 5 ck u & d u c Dee Dc pee g ed ceedg ecd el pu gg ce pge 3 pl 3-5 Dud Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl L 5 bc 5? ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 5 u O ee L ee wwdeg e ` p? cege l uc ceg cez L 5 D Dgued Lecue ee U bug pl u LD Dgued Lecue ee U bug pl 8 u

8 K K J K cez K cez p bc ccee ued ceg ccez bc e dec ecl ccee bc u ppe ccee ude J K De bc ppe Q eppe ccee ppe l Q De bc ud l 8 Ude-pp dul * ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 * ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 Dgued Lecue ee U bug pl 3 u ude e bc Dgued Lecue ee U bug pl 3 u Dgued Lecue ee U bug pl 3 u

9 3 p 3 bjece -le equl ll ceg cuu ed ce ll jece e ujece J D e D D dec D e pble ed ce ce ll gp ece g ll e el Ge ccee p ccez? u cd cde bece ceg cuu e g lguge w deec p p ] ugld uu 3] equecg ede ucce e dug eecu ujece equecg equecg e pl c lce wg dec bjece pble e g e cp ll e e el ] e ll-ep pel Eple bc l e bc Ge ccee ccez eul c bed uce c p bc e ede ucce e dug eecu 8] dec pble e e ecg l e duce L L cpul l l duce l l lce cp w p c duce e cd l ep l ] de ] e ll-ep pel z uc epecel e-cu cee e ede ucce e dug eecuccez eblck Z ceck e 8 pe pe e ceck e e ceck uce cu bc e l p? u e ecg e e-]cu e pl ple bc g pl c e uc ] e ll-ep pel ed g e e e 8 pl cp w p bc ed gue p ed ed gue p gue ed? u cd l eecu epecel e-cu e eblck pp pcul pl ep p cd pl e ecg e u de eg -ep pcul pl -ep -ep pcul cpul e be 8 eecu blckg eecu? ge duce ccee ppe bc ed ge duce ed ge duce ple p bc duc uce cu e-]cu c eced g llw e eblck Q gp g e e geeed 8 geeed e u e eul e p edel ud geeed cd cce e bc 8 8Q Q c lzed Gl cec cepdece ge plee ] bc lzed Gl cec ] bc lzed Gl cec elee wc e -le ce deec p ep p pp ] e? u g e e be eg p ed ce ll eece clcul cec 8 Gl cel e-cu cd ee p eg e eul l ld cuu 3] e-]cu cd c eced ee be ce eg eg e p eg equecg e p e el -le wc e e 8 ce gp l ug l 8 eece bc eul c elee e equl 8 L 8 e p bc L le 8 8 ble e ug l e bc ccez uc ce 5 pee eul 3] e cuu bece clled e pecc duce duc llw edel ud l l l ld cce ce bc ll e leg 8 ] e e bc ele e e pl cpu e 3 eece bc l eul c bed ce p bc e de pe e ceck 8 ed ce ll dug eecu8 8 8Q Q Q 3 llwg 8 e pl ccez ] e gue -ep e e e -ep e e le jece ug l e bc uc ] eckgec ed p ed equecg 5 c eced ee wc e e le e ccez jece ud bc pcul w pl dee cde eecu u e e e ep cde g lguge el ccez jece duce 5 pee p e -ep ll e leg pue l ed ge e 3 p 8 pecc ujece e ll leg 3e geeed e uc llwg wc e -le equl e g e ll e e ll g e l e dcg duce bc l l ] bc lzed Gl cec -ep e e e -ep e ce ece ujece cpul de llwg ] e e e e pe e e ece ujece -ep e -ep e e dec pble dee llwg wg w pe e ceck cde g lguge w deec p e cuu 3] bece e e p e eg e e e e ucce ep ep e e p ec e eblck l J pl c ge ce e pl wc cllecg e e e e e e ede e dug e p leg ] ub ccez llw edel ud e cce ed gue p ed e e g e ll e el l 8 e pg c 8 e p ccez 8 bed -ep eecu pcul pl l eul c e ee ppe e l ] e ll-ep pel e e bed ce ll w duce K cp ccez l ed ge 8] cce dec clculed pble e bc e e ed p e be dee llwg pe wg bc geeed e uc e ppe bc e ecg plee lce cp w dee llwg pe wg 8 ] e ccez uc ] lzed Z wg ] bc Gl cec w equecg e ede ucce e dug eecu e be cu uce lee lce cp w e cllecg ub ccez ] ub e ej leg e gp bc leg uce cu ] Eple uc bc l ujece ece jece dee llwg pe wg ] ll-ep pel e e p eg g ppe pg z zz w bc g e e 8 8 cce ecel e-cu cd 8 l uce duce 8 cce l e ecg l e e de e c jece cu bc ece ujece e ppe bc w lckg e e be eg epecel e-cu cd? e pe ceck e w e w p bc eblck e gp eple e 8 e pl bc epecel e-cu cd bjece e dee bc e wg pe 8l g e 8 ed p ed e gue llwg uc ple p uded J pe dee llwg wg e guge w deec p k g e 8 c l leg e ] e -ep eecu pcul pl ce ele e e pl cpu e ee ucce dl d Ge ccee p ccez ple p bc e e dl le ed ge ece ccez jece be eg duce de e e be geeed de e e e bed 8 pp ] ele e pl cpu e e e ce w e uc e el pee lce cp c eced ee ] bc lzed Gl cec ppe b l bc ele ll l dl e e 8 k ele eple e e 8 pp ] e e e pl cpu jece ece ujece de w cecue e el eple e e 3 p cd c eced eg ee pee wc e equl uce cu bc le 5 leg ce -le pble e e eed e p bc elec c l uded e ce e bjece -ep e cd c eced ee c l uded leg e 3 p e elee wc e -le equl e cuu 3] bece e lee p e ll ee c l ce cd e 8 dl c e e pl ge eecu8 dug ccez e-cu ll ccee p 8 epecel 8 p leg e e d 3 p equl e 8 8] ple ce lee wc -le llwg ] -ep e e e 8 e elec ppe bc l eul c bed l ld cuu 3] bece e epeed e -ep e ll ple p bc bed eecu e pl c ge p -ep e de w cecue e el le bc lce cp w 8 ll-ep pel e e e e u l de w cecue e el ld cuu 3] bece ccez uc ] bc l eul c bed wc e e p e pl c ge p ep pp duced cu ] e e pl e eed 8] ele e pe ll e elec -ep le leg e cpu ] lz bc ug clue J p uce c ep e ccez jece l gp e e bc elec -ep e ecg l e e bc l eul c bed bc ccez uc ] cpul de e-]cu cd c eced ee -ep e e e -ep e e ] 8] del cguece ec d ll equle Gl elec e e e e dee llwg pe w ll ep e c bc epecel e-cu cd ple eecu elec e 3 p gp ece ujece elee wc e -le equl e ccez uc ] e e e e cec le e e eblck gp eed e p ] ple e l leg c e 8eul ple p bc -ep lguge w deec p8 p l ld cuu 3] bece e gp ce ] l lz bc clue pe wg ge e pl c ge p p ee pl p g 8 e cllec gp e geeed cc ug e de l K p 8 cguece duced l d ] e cllecg ep pp ] e ele e e pl cpu eed clculed bc l duced lz bc ug clue pe gg eece bc eul c bed e p ccez ] cled dee llwg pe wg e e el del ec ll equle Gl e w w 8] g lgcl plc lguge w deec p e ub bed u cd c w eced leg gp g l e cp bc uc ] delcguece ec d llwg equle Gl g plee lce e ee ] ub cec le cled pe ccez ll pble dee ll e e el ppe w e J 3 p g lguge w deec p gp gp e elee uce wc ecu -le equl de cce 8 ge cce cec p e 8 p ee pl g cllecg e de e ce dug eecu 3 e bc dee dec pble e eul l ld cuu 3] bece e el ll e e ppe bc ppe 8 J w e pl c ge p g lgcl plc eple e e 8 p ee pl de p g 8 gp e dug ll-ep pel c u J lce epecel e-cu cd ede ucce eecu ce bc l eul bed ] ] ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ] Equlel uppe clue pcpl del j cguece e le ec ee 3] 3] ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl 33 ck u uce deg ec e bc epe e pu c - -3 u Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 35 u Eple bc ccez Dgued Lecue ee U bug pl 3 ck u uce deg ec e bc epe e pu c u

10 -le equl 5 pee c e 8 Z bece Z 5 pee gp p uu bece 3] p leg e] e pl e pl c c ge ge leg cuu 3] bece e leg eecu c e ge llwg ] e pl ge elee c ge p Z e pl c p llwg e epeed elee eul bed cllecg bed e e l 8] 8] e ] e epeed elee llwg gp Z p e e l eul c bed wc e e wc lce ppe w 8] c wc wc ez c ] uc ] 8] u ep e ep deec pwc e e wc? ed elee Eple bc ell bc bc ppe cepdg ppe bc Eple ep ] lce e ccez uc e e ppe bc gp gp u e l e cpul de e e e el ee wc ell bc gp wuld gp de wc llw pcul pl uc ce ppe bc blck gp gp e e ge -deec cllecg e wg p ccee dee e p e ge Z ge w c deec pub ub e p e uc e cllecg gp gp g eecu ub d l cepdg bc d bc w ppe clculed w l e ppe bc K el ppe ge w deec p Q Q e el w? w g clculed bc ge l cce u lce w l e e ppe bcppe bc e e ble e cepdg wc wuld llw e el ce ppe e e e bc e e gp g l llw dl lee ele cde wc le lce cpul de wc wuld gp uc e dug eecu eecu dee? ccee wg -deec pble wg eg e uc eblck wg ppe ccee e bc cllecg -deec lce l pl de lgcl u dee d l bc d c el e p u lce e eecu e e bed? u dug e K plc cplee l bc d Q l clculed d bc l e w l e ecg e l e Q? Q w cpul cpul de de ppel Q lce lce e Q u ppe e u ce bc cllecg 8 l? e 5] e w e cde le lce K e eblck blckecg e wc l gp e e p p e e? leg cpul de cpul de b Q Q e dl lee e ele e? cde ple eecu e deec wc ele ll e le lce e? e wc pl de lgcl? eblck pee e dl lee ele 5 e clculed clculed bc w bc w? ce? e ppe bc cllecg cllecg? pl de lgcl e p e p plc cplee ppe bc cllecg leg e ele? w llue clcl bc epe ewk el w gp elee plc cplee e clculed bc b llwg ] epeed ] cled el gp bc w wle ] clculed cce e epeed elee e cllecg e?? geelzg ce ec c l p e e 5] ee 5] e wc le cled g e? e e e e wc 5] e e e peed c cu bc gp e wc gp e e? ep e ple e deec wc e pu eed ple ll eecu wc 5 pee? e ge cllecg plell ple eecu e deec wc e uecg ll 5] e e e bc ell lee bu O w llue clcl epe ewk bed e leg e geg? lgcl plc epeed e pe pe ce ] e epeed llwg elee e e 5 pee c wc w llue clcl bc epe ewk geelzg ec c l b ug clue pe 5 pee p el bc cled 3 ] ] 3 e wle Gl Gl wle cce cce ] cled el wle ce ll e leg leg wc e e wc e equle Gl geelzg ce ec l l ` ] ` Z bc c Z l ` b 3 e e ep cce cce e cllecg ge cled g peed le peed ge-ep ge llwg llwg ] ] e epeed e epeed elee elee ub e pe bc plgcl clue l e 5 le cled g peed e e e e ebc e? c wc e ll geg bu lee wle? pee ell 5 pee g c ge p ppe w pl g 8 ge ple e e wc e e wc wc g 8 ge cllecg ll w cllecg L ppe bc e peed ep ep e Eple Vbc ppe equecg ell geg ll leg p ll bc bu lee p e g ge 8 ple equecg wg e lgcl plc epeed epeed e e e e equecg equecg -ep eecu pcul pl llwg ] e epeed elee -ep llwg e ] e epeed elee e ppe pe bc bc lgcl plc epeed? e e ple e cllecg bc p ge ll e p eecu plgcl ub lw ee w e lue e e bc c wc e e wc e pe bc clue wc e e wc g wg c geeed e uc lwg e eed ep e cpu epeed ppe w uc uc e cce e cllecg e cllecg ge ge e pe bc epee c eecu beed l e e e gp l l e pepbc plgcl clue l l e e l l l e ub l ub? e ppe bc l 8 e ped ppe ppe w w e p c beed e cce p c wg p p e pl pl e pl uc e pl e ppe e bc ppe bc Q Q Q Q e wg e l bc plgcl clue K 8 e p cllecg cllecg e ge ge p e ub p -ep -ep eecu eecu pcul pcul pl pl e pl pe bc epee c eecu wg w uc uc e eecu e pcul eecu pcul wg c p lw e -ep ge ppe ppe l w 8 ] -ep 8 cce eul lee e ele K e dl lee e ele c l beed e ped e 8 eecu p e pe bc epee c Q Q 8 L bc -e c de e e e geeed geeed e e uc uc e ppe bc bc e geeed cllecg e bc uc geeed e e uc ppe Q? bc e epee beg ppe bc e plgcl c l beed c e ped 8 pclue pe bc e -eg Q l Q beed l ce ppe bc cllecg 8 8 Q uc K uc e dl lee e ele wg eecu e ped e pble dgu e bc plgcl l p e leg e gp ce ppe l e ele 8 ] 5 clue e e dl lee dl lee e ele bc cllecg e -eg ubuded e eecu de e e l 5] 8 8 e e e el 5] epee e 8 eecu ] ` ] ` Z c Z beg ` e 8 8 ppe bc ppe bc cllecg cllecg e l bc u lce e bc e be e bc plgcl clue Q Q Q Q gp 8 e p el wc e e deec l? eecu 8 eecu eecu eple ll e deec wc e e ped pble dgu e lbc epee e cp beg e 5] l p p l 8 ce leg e -ep e e eul c e 5 e e e dl lee ele e e e 5] e5] ee -eg e eecu e dl e lee e 8 8 eecu e ped ubuded eele pble dgub K e bed e pe dee ple ll eecu deec wc e e e bc pde ge ppe clue e e p ppe bc cllecg eecu plgcl bc ple ll ple ll eecu e eecu deec e deec wc wc ppe bc cllecg e -eg ubuded e cled el wle e el lw ee e w e be wle eulg e eecu ecludg el cled pe Gl ug clue ] bc plgcl clue led w pe l p p lp bc bc c ue pe ug clue le cled g peed e -ep e be e eecu ] cled el wle equle Gl 38 le cled g peed ] el 5] e 5] e l p l p ppe e e cled cled el e e wle bc le e u Gl equle Gl ] cled pde pge plgcl clue wle e bc lce lec e le g peed p cllecg ple ll cllecg cled wc le g cled g peed wc le g 8 ge ll eecu ecludg ple ll eecu e e l l peed e ple ple ll eecu e deec deec eulg e be ck u d u ed lk Hge Ode bc epe pplc pe l Geelzg ce e jec E l L 5- ck u uce deg ec e bc epe e pu c - -3 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u ck u d u bc epe ewk e OL 5-58 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

11 e pel e -ee el ] ldug cw ] w e uce uc ed e lel epeed 3] e e epecel pee w e ece e cd eceecbl bllll llll p ed pecc ec 5 e e e ell c eg ] eel eg 8] cepd dee w uce ldug uc ed ce ecbl p ed geelzg ] 3 8] Eple e pel e ge ell ecbl V ecbl p ed e 3 e d c l ce e d bc pecc geeed 8 el e bc e pel e Eple eg ] eel eg 8] cepd dee Q Q Eple V bc pel e b llp ] ekp ] E e ce eecu Eple V w bc ecbl eld clcl p ed p u e elbe e b llp ] ekp ] E e eecu bc pecc b u bc eld e clcl p ed p geeed ge ppe ce e ec 85 p duc ueul ee pel e e -ee e g e ee cg e l e u g el e b ee cg l w elbe e wc ce ucll eed c l ee e e ble ec e J de p ' e cepdg pel e bc -bed e p e c Q Q Z O e p eque ude e cepdg e bc V ce ecbl p ed e pel e Eple pel de l ec e p -bed ed wc 5 ] c ude e p lug geeed e p ell ed b ] ekp p e p bc eld ece eec clcl pee llp ] E l u pble eg 3] deel ee l wc geeed e p p g e b ee cg e cu cd ppled llw bc ec cque wc ued pcce 38] el ble ee l e d l e ll-uded l deel p eld w pel cepdg e e pel bc el ll-uded uld ll-uded ecbl 3 eecu b- e bc ge bu -eg 3 e bc ge bu -eg ug c p cepd e el p uld e b eecu pu ll-uded 8 ec Djk ke llgelc pecd bc pcce e cde g l e ue ecble c cepd Djk ke llgelc pecd Y Y deece pble ue l ec ecble 3] cdeed ] ge w bckwd ecbled e e eg l e d ec ce e pcce cde g l e 3] cdeed ] ge w bckwd ecbl 3 plgcl clue ucll cpue ece cd e p _ w pl-de lub wc geeed e e 8 p decped w p eg e d ec ce ucll cpue ece cd e g p eee 8 wuld eld pel e l deel e cd ee _ l eple wc e 3 e bc ge -eg eecu ud ll wc geeed e-ppg 5 bu eple l eld pel depe 8 e lub-peeg 8 wuld ce epl lgc e ued ep l el eced e b e pg dee -e e l ecble d ge wd ce ] wle 3 cepd Djk ke e ece e d ee g l e e bclue ec pg dee -e e lllgel _ cd _ ple ecble ceg eee ele e ubjec deel l pble wd ue ] ec 3 ll bg ge ce wle e ll-uded eld bckwd ce clled ubgl 3] cdeed ] ge w bckwd uce ldug uc ed l el eced ecble Z depe ceg epl lgc eug e d d ee 8 Dee e bc eld bckwd ce clled ubgl e ucll cpue ece cd eel eg 8] cepd 8 Dee e bc e e ll-uded 8] dee ll-uded p-ge g-ge de p epecel el ppg 3 duc e dee e c dbudu 3 35] e u-ee eple l wuld eleld pelw ecc geeed bed el elee 35] ep dee e u-ee ] l e elll-uded educ d budu 3 e bed ed e ll pell bcg ug lcl -dee Z e b e pg dee -e e l e w elbe e bg bc ge wd ce ] wle 3 e lz e ll pell bcg ug lcl -dee -e Eple V bc dee e e V bckwd ecbl bc d ubgl Eple ee eld ce clled -e e bc 8 Dee e bc lz -bed e p e Eple 8] duc 3 e dee cllecg lz bc Dee e lz bc e dee e Eple 3 e dee e u-ee e geeed 8 e cllecg b llp ] ekp ] E e ce e b e educ d budu 3 35] e bed c e u b llp ] ekp ] E e ce e b e e w ppl l edl bc epe lz bc e ll pell bcg pbl -e cg ug e lcl -de ee Ou bjece w ppl bc epe edle ee cg e pbl -e -e llued ec l e -uded llued g ec ec ecble e bc l e bc e d ce bc e deee Eple 3 e 8 ll-uded dee e l cllecg dee ee cllecg ecble e bc dee e l b bc dee g ecbl llp ] -deec ekp ] E cce e ce e ecbl ee depedel b pel cllecg bc dee p cez bc p cde l e bc cez Ou bjece w ppl edl e depedel pel -deec epe lg bc g dee pbldee -e cg cce e cepdg e bc ccee p ec ed d ec ce g ec llued ec ecbl lg e cepdg dee e bc p bc cceeed p ed l e bc Dee deg c l ec p c geeed e ce bc e bc K e -bed e p ed udcp duc deg c l ed p p p g wdeg ] e l e g cllecg e dee p e p ec plee ced pecd cee eed ug pp ug wdeg ] e e -bed p ed ud e pel c depedel ec bu -dee cez eppe el eced dee ecble c bc p cll l ee e-pp ecbl bc 8 ec bu 8e plee ced ec pecd c ed eed u- lg cepdg dee e ppe p ec cuu He llwg e cde l uded p bc ccee ] ecble e c 8 cuu He llwg e cde ke pe e e ll eecu cll c ee e-pp l deg l ed ] cled 35] egeeed eel p duc c p 8 cpued clcl bc epe lg? e e ppe e e ll eecu ll-uded cled lw wdeg u ] ] ecble c 35]egeeed p pe ee cue e eple 5 pp ug e ke ec cpued u lw e cue eple 5 clcl bc epe lg ] dee e b ec b b b bb b b Eple el lz bc e el W W W ll-uded le 8 e ppe dee 8 b b bb b b b deceg ece ce b cuu u He b llwg cde l b p p e c b bb Eple b ec cl e ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl ck u d u bc epe ewk e OL 5-58 u Dgued Lecue ee U bug pl u ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl ck u d u bc epe ewk e OL 5-58 u Dgued Lecue ee U bug pl u

12 Eple V elee bc p Z bc Gl cec Eple ule g z zz Del Eple pg ]] E ]] e]] u u?_u? u e]] u] U U]? e e ]] e]]?_e ]]??? e ]] U U]?? e ]] µ e]] u?uu]? ' e]] '] ]] Z? e e ]] e]]?_e ]]??? e ]] z Z? e ]] z Z?? z z Z? e? e e 3]] e]]??? e ]] z Z??z?e ]] e 3]] ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl 5 u ck u pe bc epe OL 3-33 Dgued Lecue ee U bug pl u Ege lbd clculu Eple pg ble e E epe e e e e µ e e e e? e e 3 ec d W wg z Z ege u ' U W? Z? U U]? lue U ee U ec d Eple pg ucu pe - pe H H pe ee H pg pe ck u pe bc epe OL 3-33 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 8 u

13 d llecg ec z z -Z? Z pe? ceck llw c ppe pble p L e p uc p b c uc L ccez uc e ecble cecl pece u L ll L bc Eple e e ec H H ec H? Y pe ee ' pg e ' Eple U U] pg U U] U u Gl ce ce Gl 'u Gl ce ce 8u pe? Le Gl ule u pee Le pece ll cecl pece c c c c pece z Z z Z? e? eg pe deed ccez Le Lcl_ew ll lcl ew E ce bc peee lub wle U] Le pece l eg u H ccez Le Lcl_ew Lcl_ew lcl ew E lllllcl ew uc llw pe Le Le Lcl_ew Ell lcl ew? Y l l Y l Y k k l l peee eg glb ecpcll pe plee ble lce ub cez Le pece Lcl_ew uc p? -? ' ' E U U] U U] c Gl c c uc uc c ce U? Le Lcl_ew p Le pece pece Lcl_ew p lgcl plc E Lcl ew ee eg lub peee eg glb cplee Le lcl ew Gl ce pece Lcl_ew e uc H H ]] cplee lcl ew cplee lcl ew 8 'u? ee? e d cllecg z Z? z Z 8u cplee lcl ew e uque dj uc Lll E Y ul Y ule Le Lcl_ew lcl Lcl_ew lce e l k ew lu c c eddg e Lcl_ew lce e Lcl_ew lce ' ' - U U] U U] elcl_ew uc u - Le llp lcl ew e]]3 '] e - p glb Le lub ]] E? 'u? uc eddgule lu c uc c e pduce Lcl_ew lce Y ul E Y ule El H e uc - p pece Lcl_ew p 8u cplee lcl ew e uc - p pble e u c e e eeed pece u dee dee Gl ce Le pece Lcl_ew ll cecl ucpece p E H u u Gl ce u dee Gl ce e]] e]] cuced e eel pplc ule g 8 H H 8 H cplee lcl ew pece pe w ppe e Lcl_ew lce E dee u Gl ce H 8 H?? peceee l cecl pece Lcl_ew pece uc ue - p lgebc el pece Lcl_ew c w lgcl Lcl_ew pece 3 ppe Z?? e Lcl_ew lce ge ] wc uc e - e cque Lcl_ew pece Y ul E Y ule El e uc - p d ce bu u ccuece ec cecl pece u dee Gl ce pe e 3e uded bc cpl H 8 H e uc uc p p lcl ew cplee e lcl ew e cplee c c ] ppe clculu p pece lcl ew lgcl cplee c e uc c lbd wc Lcl_ew bul w e lcl ew H 8 H e le ge L el L bulw elcl ew u dee Gl ce 3 ]] bul w e lcl ew 3 d cllecg e l ucu uul ccez wd d cllecg e ucp lcl ew c 3 ue lgcl el u ue ccez Lcl_ew pece bul w e lcl ew pe e ] cdeed b bc e uc d p -lcl ew cplee c k Y l Jéôe ee l Y Jéôe ee l Ju Jéôe ee Jéôe ee uul ep ce d pe l ked llubed ceed e- Oe Ju 3 l plc cepdg bc g uued 5 bul w e lcl ew u Eple pg e e uque uppe dj Dgued Lecue ee U bug pl Jéôe ee 3 Jéôe ee ple e ec e e uque uppe dj clled Gl cec e llecg pl L e p uc p b Gl cec ] c c uc L ccez uc p L ll L d lub wle ce bc peee eg 3 el b] 5 ple cguece b] Ju e-dul Gl c- cez peee eg glb ecpcll pe ee eg lub peee eg glb e uque dj uc L Ju Eple uecl bc 3 uc Gl cec ] c Gl cec deed e L u Jéôe ee bc epe-bed l uull ue eel dee bc3 d ce de cple e e decped cb ple bc Hee uc p lcl ew d cplee e c ew d eple ued e e c lze bul w e lcl ew ee e uque uppe dj Gl cec ] c ub Ju Jéôeee ee Ju Jéôe 3 3 Ju Jéôe ee ecbl l lgcl gllg w bc epe ceedg el eece pul ed cece Egeeg Jéôe ee 3 ceece pceedg 3 pp -- Ju E' u Geece 5--3 epe E Ed ec ue c Vce D Jéôe ee Wle Je Ke bc epe ellul gllg ewk V Dgued Lecue ee U bug pl e-dul Gl cocg Ellpe Epel e clled Gl cec e glb d lub e-dul Gl c- ± ± L e u pble e pece pe e pw uc uc p bbc d e e decd e del ec H ppe L Dgued Lecue ee U bug pl 5 5 u Dgued Lecue ee U bug pl b 5 b u ee llwg clc bc d e e ued e e cue e e e clled Gl cec c w ue lgcl lgebc el

14 Eple bc pled bc pledl bece bc cez e wdeg e e pece lu ke b cce eg geed ecec cde ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 ck u cl Hlbwc uc Dce Le e g Vble g OL 8 8- Dgued Lecue ee U bug pl 53 u Dgued Lecue ee U bug pl 55 u bece bc e bc dk ecgul pllelg bc dk pled Eucld e bc ue l ccez bc wdeg duced llwg ck u d u bc epe ewk J Lg pu 5-5 Dgued Lecue ee U bug pl 5 u Dgued Lecue ee U bug pl 5 u

15 e cee e ceg cuu J K Eple bc e ule g * * - Δ ege ege e ze ze Δ ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl e bc bc e ud 8 8 ud 8 Eple ule g dd ud ulplc ud u ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl 5 Eple bc e ule g ege e Ukw Δ Δ u ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl 58 u ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u

16 p ceg uc k p - p ck u & d u uce e k' ed p e cc Jul c Vl 8 pp 3 5 Dgued Lecue ee U bug pl u 3 u p e p p p e Dgued Lecue ee U bug pl g p p c g lzed legee p ceg e lce p p le p plee lce cp 8 _ p _ pee p le p _ le 8 8 le p le p Le p ceg cuu K 8 e ceg cuu cuu p 8 ceg le ceg cuu 8 K _ ceg cuu Dgued Lecue ee U bug pl u ceg cuu ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u

17 ee pl uce cu geeed duce uc bc l ] ed p clled pecc l l e bc ccez uc ug -ep eecu pcul pl cce el e-cu cd e duce e de pe e ceck e pg pl geeed e uc 3 bc 8 ed lzed Gl p ed gp p ceckgec cec gue e cee dul Eple -ep eecu pl e pcul equecg p? cpue l ed ge w ] e e e ele pl cpu ep eed cde g lguge deec eg duce geeed e 8 g llwg ] bc lzed Gl e 8 e e ll cecel ee 8 eced l l? equl e dec -le 3 p pble wc e p eg e bc eck ckwd 8 e pl e dug 8 e ede ucce e eecu cuu 3] bece 8 d 8 e pl pl c ge p -ep eecu pcul jece ] e ll-ep pel l eul c bed? e bc p u 8] 8 e uc geeed ecg le ccez ] e uc l e cpul de e cec? ujece ece ccez jece gp e eblck e bed eg e e l ] ` Z Z `clculed ge 8 z jece ujece ece 8 ` gp 5 bed guge w deec p eg wd bckwd? e be e e bc w bjece gp l e 8 e uce Ge ecu el U ccee p ccez ce J U ee U ege dul bc? pble e e b cp lce w -cu cd ce e dug eecu dul e eed Lee gee p ele e pl cpu uce cu bc ep bc bc pel le u lce pee ` ]e epecel cpul e Z `cpu 5 e Z ele e pl ` e e-cu cd ecg l p cd p ] eed de e e leg l 3 ll 8 llwg ] e epe? K e eblck ee ple p bc -ep bed e eced e -ep e e e e e p c ge e p 5 pl 3 p wc e e p 8 -le equl e e pp p ] ew e cpu e e e e ele ep e e clculed bc ep pl 8] u e cd eced e-]cu 3] uu bc bece p pl c ee c e ge gp 3 p bed eul c dee llwg wg pl e e d Eple pl e elee wc e -le equl 8] l gppe Eple e cllecg ] leg ] e eul l ld cuu 3] pcez uc ub bece e pl c ge gp bed gp ppe w eul l cce eece bc e pl c ] e ele e cpu e eed 8] e ppe bc p ] w pl e e ug l e bc ccez uc gp p 5 pee e wd e wg w deec p gp uc dee llwg pe e ll e leg 3 p equl3 elee e ] K e el ckwd llwg dee epeed e e e e e -ep gp 5 bece e pl c ge p wc e e wc ble e eple e e 8 e e ep cde g lguge w deec bed 8] pl u lce pp e e e e dug eecu c l uded leg e g e ll e e el pg J ] lee cpul de e dl pel u lce 8 wg pble dec e gp bc ] l ub de e p ppe e cllecg ge ecg e cpul de w cecue e el e ede ucce e dug eecu w ec clculed eblck ppe w bc gp K e d cce ll-ep elec e -ep e p ] e pel u e lce cp e e ppe bc gp d 5 elec e clculed bc w e ecg l e e de ll eecu cpul de el ple eblck uc wg e gp e e p ] l duced lz bc ug clue pe de e e g e e eecu Q ]clculed bc w 8 cled del cguece ec equle ll Q Gl d e 8 be eg c cec u lce le cled gp 5 pee leg e l e 8 cpul e dl lee e ele 8 de p g 8 pl de p ee ge cllecg e ce e ] e llwg elee pee ppe epeed 5 blck bc cllecg e p g lgcl plc leg e ce el ll e ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u uce deg ec e bc epe e pu c - -3 Dgued Lecue ee U bug pl u u ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl Dgued Lecue ee U bug pl ck u uce deg ec e bc epe e pu c - -3 u Dgued Lecue ee U bug pl u

18 8 k k de e e de e e k gp u? Q d e 8 8 Q Q eple eple e e e 8 8 cpu e pl e eed gp 8 K e leg c l c l uded leg Eple e b e uded e e pl l 8 e lee dl lee e ppee e dl el e pul 8 e bed ppe bc cllec ppe bc cllecg e 8 de 8Q el Q w de w cecue e e Q de cecue el ge c c p elec -ep e bc 8 elec -ep e e 5] ppee e e e e elec e elec e Q Q u lce ple ll eecu e deec 8 8Q ple ll eecu e deec wc w K gp ug clue pe l de bc ] l duced pe? ]ele l duced lz bc ug clue lz ] cled el e e pl cpu e eed 8 e p ] del cguece ec d ll equle Gl ll u cguece gp d cled el wle del Gl equle ec? ccec clculed bc w ucce dl? cec cled le cled g peed le g peed 3 p 8 e 8 K 8 8 p? de g ge 8 dl ge cllecg ple l ee pl gp de ee pl p g p dl cllecg ple ll pg 8 ucce p l e ucce dl g lgcl plc epe pl c ge p g lgcl plc epeed ucce K? dl 8] l dl 8 Ulel k k p u lce l dl pl e e dl ucce l dl ege gp Ulel k pee l gp dl Ulel elee k g Ulel ] p e epeed ege O e k e clculed bc w k Ulel e wc ege _? ege gp c e e ege k? dl Eple kecble e ucce ed cllecg ge d u lce ucce dl ppe dew cpul l dl ed e l e e decl llw p K bc k ppe l dl ceg cuu e p el Ulel?? k de p ] p] eepeed uc p ] ] p clculed elee Ulel bc w k pee p ege gpwc ] p p ]? ege Q Q e p ] ] p] e g-ge p ] p dl lee e ele c ge p ] ] ppep bc cllecg bd e bde p ] w 5 pee le p bc?? p k p e ceg p ] bd bd e e e l ep ] e ecble 5] ecble e e ecble 8 llwg ] e epeed elee uc bd e ll eecu e deec wc e lce e? wc p ] ugld p ] p ] ugld wc e p p ]? ] V e ep bd cp ] e ecble Q Q p ] cled el wle p ] peed p] e le cled g cllecg ge ugld elee e ele e cllecg ple ll ppe w bc cllecg _ lgcl plc epeed e e ppe bc k ed ck u & d u bc epe ued lce del c l cuc pp p OL 38 5 ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 ck u d u eg bu ce p ed eec ep -8-5 u l lecque de Le c ce Jul 8 p ck u ec ud l ucck & D Je ed g lw l e pplc pge 33 3 ece-hll c Eglewd l ew Jee U 8 ck u & d u duc pcple pg ce D éel ed l & g uc dced ue pge 5 bdge Ue e bdge UK ugu 8 ck u He-le z ull' ee e ed -deec eec ep L-83- Ue ez epe 83 ck u d u À l ull duc pcple pg ebl eec ep L-83-8 Ue ez e 83 ck u & d u cpe de éde de eue de péé d'ce e de lé de ge llèle cple ce ebl p ed ccue «lléle cuc e c» J- Veju e G ucl Ed Éd du pp 85 ck u & d u À l ld duc pcple pg ebl «lgebc ed» & J eld Ed bdge Ue e bdge UK pp 3 Dece 85 ck u & d u ee lw ecu lw O Equlece ee e ed g ebl pee g c c 3 8 ck u & d u lguge depede p ude e geelzed He lgc cpu 85 8 ck u ed Lgc g g J Leeu ed l del ec lue Hbk eecl pue cece cpe 5 pge 83 3 Elee cece uble V d u dee de éde de peue d'ce e de lé de e pllèle èe è cece éque u l plecque de Le c ce 5 e 85 ck u uce deg ec e bc epe e pu c - -3 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 ck u ec ud l ucck & D Je ed g lw l e pplc pge 33 3 ecehll c Eglewd l ew Jee U 8 Dgued Lecue ee U bug pl u ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u

19 Q pcul Q -ep eecu pl? ege duce clled pecc duce l l pue l ed ge p ] p ] uc pecc duce l l e geeed e de pe e ceck llwg ] bc lzed Gl cec e pe ceck e Q pl e pl Q ceckgec ed gue p ed p ] Eple ugld ce p bc ed e p eg pl c gue p ed -ep eecu pcul? pcul pl -ep eecu cpue l ed ge duce p ] p ] 8 l ge duce ed 8 8 geeed e d e ceg ud bc e geeed e uc llwg ] bc lzed Gl cecg ] bc lzed Gl cec ] bc 8 p e p pp e p eg e p eg bd e ece ce ccez jece 8? p ] ujece p ]? 8 e ece bc 8 ] bd e ecble jece p bc 8 e bd e ecble 8 e bjece bd e p ] ujece ece ccez jece e l ece ccez jece Ge ccee ccez p p ] ugld bc? ceg ud e bed 8 p ] bd e ecble jece ece ujece ee cp jece ece lce w ujece e e ec p bc bjece uce cu bc bjece e bc e p ] ugld bd e l e l Ge ccee p ccez ccee ccez e-cu p epecel cd Z? p Z e be bed ugld ed lce cp w p ] bd e ecble e lce cp w 8 ple p bc cu ucekcu bc uce bc ep p ] e p ugld ele e e pl cpu e eed bc ] pp d Z cd cd e-cu c e-cu cd epecel cd epecel -]cu eced ee 3 p 8 8 ple e p wc elee -le ple p bc bc equl 5 3 k p e eul l ld cuu 3] bece ep p pp ] e ele e e cpu ep e pp ] e ele e pl e eed ee pl pl c ge d cpu u ece bc eul c c bed e-]cu cd eced l ee 8] u cd c eced ee Eple ecbl bc gl e ccez uc ] wc e 3 p p bc elee -le 3 equl elee wc -le equl e gp 3] l l ld e eul ld cuu bece eul cuu 3] bece e pl c ge p e pl c ge p e eece bc l eul c bed bc eul c bed l gp p 8] 8] pl ccee cde g lguge w deec pug l e bc ccez uc ] e bc uc ] ccez e ll e gp gp w e el 3 dec pble e gp gp ecbl bc l e e ede ucce e dug g w deec p- eecu cde lguge g lguge w deec p ] e ll-ep pel u lce e g ll e e e ll e el e el J e ecg l e cpul de K dec pble e dec pble e ud e eblck bc e ede ucce e dug eecu e ede ucce e dug eecu e p e 8 e e ll-ep pel lce lce p ] e ll-ep pel u clculed bc w u ] eg e ecg l e e ecg l e cpul de cpul de gp p ecbl K e eblck ep e eblck e p ce clculed e g e e 8 8 clculed bc bc w w ce ebe eg eg p ] p ] gp gp w e 5 pee 58 ce? J 58 ll e leg llwg ] e epeed ce elee 8 O 8 O ck u d u ec Deg g l ewk OL -8 k k Dgued Lecue ee U bug pl k k u ck u d u ec Deg g l ewk OL -8 Dgued Lecue ee U bug pl u p bc Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

20 * p e cegece ccele ** Epeee e bc k e e bc pble e uud -e ubuded Ubuded eecu e pc bc * * bece dec lu eg el ** bece e cegece eg cedg c cd e pble l -e l uud * Ecludg l lu ee ck u l pleee bc p eckg -5 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u ee p cpu p ceg e cp c cpued eel l e ee? ucce dl l dl Ulel k ege cuu e ee pee cp g cedg c cd Wdeg De wdeg O p Oe-pp 8 O O 8 e O O Ge equece wdeed equece O cege l ` uc 8 ` ` ck u & d u uce e k' ed p e cc Jul c Vl 8 pp 3 5 ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 Dgued Lecue ee U bug pl 8 u Dgued Lecue ee U bug pl 8 u

21 Eple ple wdeg pled ee egece ccele w wdeg Wdeg ck u éde ée de cuc e d'pp de p e d'péeu e u u ell le éque de e èe É cece éque Ueé Jep ue Geble ce c 8 ck u cl Hlbwc uc Dce Le e g Vble g OL 8 8- e e cceleed e w wdeg eg w wdeg bed dee ew-p ed Dgued Lecue ee U bug pl 8 u Dgued Lecue ee U bug pl 83 u ee w wdeg e? e wdeg peed up cegece c pec ped wg Dgued Lecue ee U bug pl e w wdeg O 8 ee L ee w wdeg e ee w wdeg O? p? cege l ` uc ` ` ` ceg ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 u Dgued Lecue ee U bug pl educed pduc e educed pduc c bc peg cjuc bc Eple pe ze dd pedd ck u d u ec Deg g l ewk OL -8 ck u d u Lue ubge e educed duc bc D b Dec cedue O 5-8 u

22 Udecdbl cple W d bu le l? bc eee Dgued Lecue ee U bug pl 85 u Dgued Lecue ee U bug pl 8 u gg udecdbl cple uc ec uc ec ec ed wll deel l el Gödel lu k u elp e-pep bed deduce ed g lb c de edecdble e del-ceckg cbl epl D ud pp bc bc epe le l Dgued Lecue ee U bug pl 8 u Dgued Lecue ee U bug pl W d bu le l? uc eee ece ee Gödel eee eed ellgece 88 u

23 e uc bc cee que ed bc l 3 l]? Hw ppe 3? l ]? que Dgued Lecue ee U bug pl 8 u Dgued Lecue ee U bug pl u e uc bc cee que ed bc l l]? d kw l]? que Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u

24 e peceeed bc ellge pg l ud bc que Dgued Lecue ee U bug pl 3 u Dgued Lecue ee U bug pl 5 u ee e peceeed bc -cpble bc e led uc e elbe EG ge cue-eple cue-eple Dgued Lecue ee U bug pl u ud bc que Dgued Lecue ee U bug pl u

25 e ec bc W d bu le l? D pecc eee dp bc g pdg pcll ued ge d-pecc pplc eg ée cu clc ecu dc e llc u eecu e le eg que ec ck u d u bc epe Ued Lce del c l g uc pp p OL 38-5 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u uc eee ée eple le bc d de le Eecu Uble pledl bc ble ellpdl bc w bc epe Jule ee ck u d u Jéôe ee Lue ubge e é & e l c l Vec epce bc epe ec@@epce l Geg ec ue euc uc pl Dgued Lecue ee U bug pl u 8 Dgued Lecue ee U bug pl u

26 w ew Dee e decp Dee e decp Dee cllecg ge ppe ee eebl epe cllecg p Dee bc e bc e e bc p ge bc ee cpue p w cegece ccele wdegwg bc eg educed pduc ee Dgued Lecue ee U bug pl u bc e geel g eg cple cpue] e cple u lzgeg cpue] e udecdble ubjec cbl epl ce bc ece ppeed cple bc epe l ewk egcpug l del cpue ] bjec e cpu el pplc clude ec cuc ed eece lg leppe udecdble e cple pble u e cpue cece e ecel e blg Dgued Lecue ee U bug pl 3 u Eple V g bc e- g ec g duc e- lguge JJ KK Jgeeed J KK g J K J K p k-cüzege J J bk K b J K Eple bc p bc clcl lg epeed p J K J bk J bk b ck u d u G l pg bc epe e pu c 35- ck u d u G l g bc epe g l pl L 5- ck u d u g bc epe g e pu c Dgued Lecue ee U bug pl u ece dce e e pcple ppl e ec ck u d u bc epe ewk e OL 5-58 pbblc ec ck u cël eu bblc bc epe H edel Ed d Eupe pu gg EO ll E c pl Lecue e pue cece l pp pge Dgued Lecue ee U bug pl u

27 pplc bc epe c l w-ce eecu e clc wwwbc ée p bece ue e edded cu el e clc wwwbcee ée cu wwee Glbl ue c lze lg wwwcuedulc-llecul-ee-udl KO eece Keel Ope c lze wwwcuedu lc-lle-e-gee-ecl ecke c lze ul-eded J wwwpeeececke dec c ecke c dcce-u delbddp lucu c l pec uecl cpu wwwlcelbgblllucudel Dgued Lecue ee U bug pl 5 u Dgued Lecue ee U bug pl u c l ec e c lze dcc Jul c lze J dd wwwjulcjul-d-j-ecp? d3 ed c lze dc d ucue ug ep lgc wwwubczeecgupelped e e p wwwcuclcukpe dedede_hel ec p uecl d lb pceplb ledl Lb bugegcpducppl ec Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 8 u

28 Hd Geelzed blc jec elu el el uccee w l ed J H el p 5 c Eple e ul e pu e udeed upu e bu lw -pu D ge -pu D ge ÉE u lce 8 ck u d u JÈ Ù eeee Lue ubge e È Dd u e L 8 3 ug ug ck u d u Jéôe ee Lue ubge e é e l W de ée cle up? l ed e Deg ck u d u Jéôe ee e é Lue ubge Dd u e l Vee c lze p w EE E 3- ck u d u Jéôe ee Lue ubge e é Dd u e l b bc ÉE c lze -3 ck u d u Jéôe ee Lue ubge e é Dd u e l e EÉ lze EO 5-3 J Yg l-j H ege Geelzed blc jec Elu bc c l ed pue-ded Deg Lecue e pue cece Vlue 5 8 J Yg ege -JH duc geelzed blc jec elu EEE c Ve Lge cle eg VL e 3 Jue u lce ck u d u Jéôe ee Lue ubge e é Dd u e l c lze lge -ccl LD 3 - u lce ck u d u Jéôe ee Lue ubge e é Dd u e l Deg plee pecl-upe c g lze e-cl el-e Edded e Eece pu 85-8 Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl u lg Kpp lguge delg pe ec ewk ule le decl deplg ecque bc epe wwwkpplgugeg eddeduwwwdcuelbeecglg Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl ge lguge pplc g lguge Wu ecu lgjup dc e llc clcg de eec bckwd jup e cll ub W ll u pe ec ec ebl eedg d eg ze & ede ege EEE 5-85 l ec Ogll cu clc eg geeed cde u

29 e plee e d dee W eec u--bud deg? %cupedcblec clude d ] 83 p % ] % ] Yeld dee eul dee ce 83]83 83]-8 83]-3588 u e Dgued Lecue ee U bug pl 3 c c el el 3 b el b u Eple d-pecc bc ellpe pede eu LE UE OOLE OOLE l d le c l E] ] ] E] ele 5 * - E] * E] * ] * 5 - ] * E] E] E] ] ] ] * ] ] ] * d * 5 UE wle * 35 * uled le pu * le LE Dgued Lecue ee U bug pl 5 u Dgued Lecue ee U bug pl plc pecc bece ue e elw d ze bue elw ull & dglg pe lge e ec ue e eg eecu p eg lg-p ecep p e ced edcble uce g w w ce eg ged ege elw eul e ege e p eg dul ec Upedcble uce p eg e cup u eeu c le c lze Dgued Lecue ee U bug pl c lee c lze e c ped c lze e e ple ] Lke c ple e elw u de dce ` ] d dcul pe ce eque dg l -le ecd de le w cple e] wc c dl ud eue eue eeece ] Vj D l Del Keg Geg ebce ue ued ecque l Vec EEE c pue-ded Deg eged cu e Vl Jul 8 e] Jéôe ee c l Dgl le EO 33-8 J ] ] ] u

30 dul pplc 8 e eecdeelpe E wwee dulz dulz b ce J wwwbcee Del Käe ed ep Wlel e e Ol Hc ck u d u Jéôe ee Lue ubge e é e l Élde-Je ée c de bee Luzeele Wkp ``Ewcklug zueläge -ee'' egebug Ge Jue 8 Ole uu Éc que ck u d u Jéôe ee Kll Gbl Éc Gubul Dd Lee Lue ubge e é le u e l & cel u pce Vld ug bc epe c pce e Egeeg D e epce D bul uke pge E Je u Dd Del Epeel ee ée e-cl c EO - Dd Del Je u ée eec du 3-5 Je u dul epeece bc epe-bed c lze ge pcl e 33- ep eg Je u eld Heck bll c Lgebc ed Wlel ed bc epe-ed g Vld Hd el-e c D Dgued Lecue ee U bug pl u ued l cec c DO 8 & DO 333 Dgued Lecue ee U bug pl u Eple pplc Vec bece ue-e * l-- lg cl e V dckg e * clu lg wg e -gg wk * le l ll Dgued Lecue ee U bug pl 8 u Dgued Lecue ee U bug pl u

31 O eec u ecpue cpueblgcl e u pbbl d bc epe e Ed k Yu Dgued Lecue ee U bug pl u Dgued Lecue ee U bug pl 3 u O pplc ullceckg u cpueblgcl e del de cle up cde ug ud bc epe Dgued Lecue ee U bug pl u