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HAL Id: tel-00001702

https://tel.archives-ouvertes.fr/tel-00001702

Submitted on 16 Sep 2002

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MODELISATION MATHEMATIQUE ET

SIMULATION NUMERIQUE DU DRAPE D’UN

TEXTILE

Nadjombe Fare

To cite this version:

Nadjombe Fare.

MODELISATION MATHEMATIQUE ET SIMULATION NUMERIQUE DU

DRAPE D’UN TEXTILE. Mathématiques [math]. Université de Haute Alsace - Mulhouse, 2002.

Français. �tel-00001702�

(2)
(3)

✁✄✂✆☎ ✂✆✝✟✞✆✠✡✂✆☎ ✂✆☛✌☞✎✍ ✏✒✑✔✓✖✕✗✑✙✘✛✚✢✜✣✑✤✘✦✥★✧✢✑✙✩✪✕✗✑✙✧✬✫✭✕✗✑✙✮✯✜✱✰✳✲✵✴✵✧✢✑✶✚✢✚✷✑✙✧✸✩✹✑✶✚✻✺✼✕✽✢✚✾✑✢✓✿✚✼✕❀✘❂❁❄❃✤✧✤✑✶✚❅✧✤✑✤✩✹✑✙✧✶❁✡✕✗✑✤✩✹✑✙✘❆✓❀✚✻✰ ❇❈❇❊❉●❋✆✫❍✲✵✕❀✘✦■❑❏▼▲❖◆P◆◗❋✆❏▼❘❙✑✢✓❯❚❱✩✪✩✪✲✵✘❂✮❲✑❳✫✎❇❈❋✆▲✵❨❩❏✆❚❭❬✡✮❪✕❯❫✵✘❆✓❴✴✵✕❀✧✙✕❛❵❆❜❝✩✹✑✶✚✸✓✖✧✶✲✵✺✡✲✵✮❡❞❅✴❆✑ ✧✤✑❖❁✢❢❣✑✙✧✶❁✤❢❣✑✼❉✟▲❳✫❤✚❝✩❥✐❫✵✘❆✓❩✽✼✲✵✕❦✓✆❁✢❫✵✘✤❧✎✲✵✘❂❁❄✑♠✴❆❃✶✚♥✫❦✑♠✴❆❜✙♦✡✮✵✓❴✑✙✘✾✩✹✑♥✴✵❫✵✘❂✘❂✲✵✘❆✓♣❁❄✑q✚✼✮✶r✷✑✢✓♣✴❆✑✿✓❀❢❣❃✶✚✷✑ ✑✢✓❯✑✙✘s❜✢✓t✲✵✘❪✓▼✓✖❫✵✮❳r✼❫✵✮❪✧✶✚✪✴✵✕✉✚✈✥✇❫✵✘❂✕❀♦✙✫❦✑✶✚✷❉①✏①✐✲✵✕✎✲❄✥✵✥★✧✙✕✉✚✢✜❱✰✬✓✖✧✶✲✵✺②✑✤✧❳✚✌✫❦✑✙✮❪✧✶✚❯✥✇✲❡✓t✕✗✑✤✘❂❁❄✑✶✜✆✧✙✕❛❵✵✮❂✑✙✮❪✧✹✑✢✓ ❫❄✥❣✓✖✕❀✩✪✕✉✚✼✩✹✑✔✰✳✲✵✕❀✩✹✑✙✧③✑✙✘❂❁✢❫✵✧✤✑♠✥❣✫❍✮❡✚③✫❦✑❖✚✻✩✪✲❡✓❀❢❣❜✙✩✪✲❡✓t✕❀❬✼✮❲✑✶✚❊✲❄✥✵✥❣✫✭✕❀❬✡✮❲❜✢✑❖✚✷❉▼④❱❫✵✮❆✧✸✓t❫✵✮✵✓✈✑✶✚❊❁❄✑✶✚ ✧✶✲✵✕✉✚✼❫✵✘✵✚✹✑❳✓●✥❂❫✵✮❪✧❴♦✡✕✗✑✙✘✬✥❣✫✭✮✯✚❝✑✙✘❂❁✢❫✵✧✤✑❖✜❩r✷✑❴✫❦✑✙✮❪✧✣✑✶❞✢✥★✧✙✕❀✩✹✑✪✩✹✑✶✚✆✥★✧❖❫⑤✽✼❫✵✘❂✴❆✑✶✚♥✧✤✑❖❁✢❫✵✘❂✘✇✲✵✕✉✚✢✚✼✲✵✘❂❁❄✑✶✚ ✑✢✓❱❁✢❫✵✘✛✚✼✕❀✴❆❜✙✧✶✲❡✓✖✕❀❫✵✘✛✚✷❉ ❇✻✩✹✑⑥❋♣✘❂✘❂✕✗✑❯❏✆❋✌⑦✿⑧⑨◆①❨s✑✢✓●❇✾❉❂■❯✑✤✧❄✘❂✲✵✧❖✴♥❘✆❋✌⑩⑥⑦✎❏✌⑦❯❶❸❷✆❋❹❫✵✘❆✓❑✲✵❁✢❁❄✑t✥❣✓✈❜♣✲✵✺②✑❖❁❺✥❣✫❍✲✵✕✉✚✼✕❀✧ ✴❆✑♠✧❖✲❄✥✵✥❂❫✵✧✢✓✈✑✙✧▼✚✼✮❆✧✪❁❄✑✢✓❻✓✈✑✪✓❼❢❣❃❖✚✷✑♠✴✵❫✵✘❆✓✆✫❦✑❸✽✼✧✙✮❆✕❦✓❯✑✶✚✙✓✆✫❍✲✵✧❻❵❆✑✙✩✹✑✙✘❆✓❽✕❀✘✛✚✈✥★✕❀✧✤❜♥✴❆✑✿✫❾✑✙✮❆✧✶✚♠✓✖✧✶✲✵✺✡✲✵✮❡❞✵❉ ✏❣✑❯✫❦✑✶✚q✧✤✑✙✩✹✑✙✧❖❁✡✕✗✑❸✥✇❫✵✮❪✧▼✫✶✐✲❡✓❻✓⑤✑✤✘❆✓t✕❀❫✵✘✹✥✇✲✵✧✢✓t✕❀❁✼✮✛✫❍✕✗❃✤✧✤✑❴✲✵❁✢❁✢❫✵✧❖✴❆❜✢✑♣✰✱✚✼❫✵✘❈❁✢❫✵✘❆✓✈✑✙✘❂✮③✑✢✓❑✲✵✮✯✚✢✚✼✕❣✥❂❫✵✮❪✧ ✫❦✑✶✚q✧✤✑✙✩✪✲✵✧❖❬✡✮❲✑❖✚❸✥❣✑✙✧✢✓t✕❀✘❣✑✙✘❆✓✈✑✶✚✪✑✢✓●✚✼✮✷❵✡❵❆✑✶✚✙✓✖✕❀❫✵✘✛✚✆✥✇❫✵✮❆✧⑥✫❦✑✶✚✌❬✼✮❲✑✢✫✭❬✡✮❲✑❖✚♠✩✪❫✷✴✵✕❧❑❁✢✲❡✓✖✕❀❫✵✘✛✚❴✴❆✑⑨✽✼❫✵✧✙✩✹✑ ❬✡✮❪✕①❫✵✘❆✓P✥❣✑✙✧✙✩✪✕✉✚❴✴P✐✲✵✩✹❜❳✫❍✕❀❫✵✧✤✑✙✧❯✫❍✲✿✥★✧✢❜✶✚✷✑✙✘❆✓✖✲❡✓t✕❀❫✵✘③✴✵✮✸✴✵❫✷❁✡✮❪✩✹✑✙✘❆✓✈❉ ❇✾❉❪■❯✑✙✧✙✘❂✲✵✧✶✴▼■❑❏▼▲❿❶❱➀✆▲❱✩✹✑✒✽✼✲✵✕❦✓⑨✫❖✐❢✇❫✵✘❂✘✒✑✙✮❪✧▼✴❆✑◗✥★✧✤❜❖✚✼✕❀✴❆✑✙✧✎✫❦✑★r✼✮❆✧✙➁✛❉✇✏✒✑❑✫❦✑❱✧✤✑✙✩✹✑✙✧❖❁✡✕✗✑◗✥❂❫✵✮❪✧ ✫❦✑✶✚❺✴✵✕✉✚✼❁✡✮❡✚✢✚✼✕❀❫✵✘✛✚✆❬✡✮❂✑✆✘❂❫✵✮❡✚✆✲✵✺✼❫✵✘✛✚❯✑✙✮❂✑✶✚⑥✚✼✮❪✧✎✫❦✑❑✚✼✮❳r✷✑✢✓●✑❳✓❂✥❂❫✵✮❪✧➂✚✷✑❖✚✆✧✤✑✤✩✪✲✵✧✶❬✡✮❂✑✶✚❣✽✼✧❄✮❪❁❄✓✖✮❲✑✤✮✯✚✷✑✶✚✷❉ ❘✪✑♠✩✹➃✙✩✹✑❖✜⑥❇✻✩✹✑❴❘✌❫✵✩✪✕❀✘❂✕❀❬✡✮❂✑✿❘✸⑧⑨④✌⑧✟▲❖➄➅✲③♦✡✕✗✑✙✘✾✺✼❫✵✮✛✫❍✮✪✽✼✲✵✕❀✧✤✑⑥✥✇✲✵✧✤✓✖✕✗✑♥✴❆✑♠✩✪❫✵✘✱r✼✮❪✧❄➁✵❉ ➆ ✮●✐➇✑✢✫❦✫❾✑✪✓t✧❖❫✵✮❆✺✷✑✌✕❀❁✡✕●✩✹✑✶✚❴✚✼✕❀✘❂❁❄❃✙✧✢✑✶✚✌✧✢✑✙✩✹✑✙✧✶❁✼✕✗✑✙✩✹✑✙✘❆✓❀✚♠✑✢✓⑥✧✢✑❖❁✢❫✵✘❂✘❂✲✵✕✉✚✢✚✼✲✵✘❂❁❄✑✶✚✷❉ ✏✒✑❑✧✢✑✙✩✹✑✙✧❖❁✡✕✗✑●✓✖❫✵✮✯✚❑✫❦✑❖✚⑥✩✹✑✤✩✪♦✡✧✤✑✶✚❱✴✵✮❯◆◗✲✵♦✢❫✵✧✶✲❡✓✖❫✵✕❀✧✤✑✟✴❆✑●❇✻✲❡✓❀❢❣❜✙✩✪✲❡✓t✕❀❬✼✮❲✑✶✚✆✑✢✓❣❋❸✥✵✥❣✫✭✕❀❁✢✲❡✓t✕❀❫✵✘✛✚ ✴❆✑③✫✶✐❍⑧➈✘❂✕❀✺②✑✤✧❳✚✼✕❦✓✈❜❊✴❆✑❈➀❴✲✵✮✵✓✈✑✢➉✗❋✆✫❤✚✼✲✵❁❄✑✸✥✇❫✵✮❆✧❈✫❾✑✙✮❆✧❈✚✼➁❡✩▼✥✇✲❡✓❀❢✇✕✗✑❥✑❳✓✣✲✵✮❡✚✢✚✼✕❺✥✇❫✵✮❪✧❈✫✶✐✲✵✩✪♦✡✕❀✲✵✘❂❁❄✑ ✑✢✓✆✫❍✲③❁✢❫✵✘❂✺✡✕❀✺✼✕❀✲❡✫❍✕❦✓⑤❜➊❬✡✮❪✕⑥➁❈✧✤❃❻❵✯✘✒✑✙✘❆✓✈❉①✏✒✑✱✘✒✐❫✵✮❆♦✙✫❍✕✗✑✙✧✶✲✵✕P✥✇✲②✚✱❁❄✑✶✚❝✩✪❫✵✩✹✑✙✘❆✓❀✚❝✲✡❵✵✧✤❜❖✲✵♦✙✫❦✑✶✚✌✥❂✲②✚✢✚✷❜❖✚ ✑✙✘✛✚✷✑✤✩✪♦❄✫❦✑✡❉ ✏✎✐➇✑✤✘✬✲✵✧✙✧✙✕❀✺②✑✆✩✪✲✵✕❀✘❆✓✈✑✙✘❂✲✵✘❆✓❑✰✪✩✹✑✶✚❽❁✢❫❡✫❦✫❾❃❻❵✵✮❲✑❖✚✌❁✤❢❣✑✙✧❖❁✤❢❣✑✙✮❪✧❳✚✷❉ ➆ ✮❂✑❯✓✖❫✵✮❡✚✆✓t✧❖❫✵✮❆✺②✑✤✘❆✓①✕❀❁✡✕◗✩✹✑✶✚ ✧✤✑✤✩✹✑✙✧✶❁✡✕✗✑✤✩✹✑✙✘❆✓❀✚❴✫❦✑✶✚✆✥❣✫❍✮❡✚❯✚✼✕❀✘❂❁❄❃✙✧✢✑✶✚⑥✥✇❫✵✮❪✧▼✫✶✐✲✵✩✪✕❦✓✖✕✗❜✿✑✢✓❑✫❍✲✣♦✢❫✵✘❂✘✒✑❯❢✇✮❪✩✹✑✙✮❪✧❯✓t❫✵✮✵✓❑✲✵✮➊✫✭❫✵✘❡❵✸✴❆✑ ❁❄✑✢✓❻✓⑤✑✆✥❣❜✙✧✙✕❀❫②✴❆✑❖✜①❬✡✮❂✑✌❁❄✑❯✚✼❫✵✕❦✓❑✴✵✲✵✘✛✚✌✫❦✑♠➋❀❁✢✲✡❵✵✕❀♦✼✕t➋❴❫✵✮➊✫✭❫✵✧❳✚♥✴❆✑✶✚❯✚✼❫✵✧✢✓✖✕✗✑✶✚✷❉ ❇✾✑✶✚♥✧✢✑✙✩✹✑✙✧✶❁✼✕✗✑✙✩✹✑✙✘❆✓❀✚♥✺✡❫✵✘❆✓❯❜❻❵✵✲❡✫❦✑✤✩✹✑✙✘❆✓♣✰✣✩✹✑✶✚♥✲✵✩✪✕✉✚♥✴❆✑✌✺✡✕✗✑✙✕❦✫❦✫❾✑♠✴✵✲❡✓⑤✑✔➌✇✲❡✫❦❃✙✧✤✑❖✜❸❚❱✴❆✑✙✩q✜ ❇✻❫✵✮❡✚✢✚✼✲②✜⑨❘✪✑✙✘✇✕✉✚✢✜✈❉❀❉❀❉P✑✢✓➂✰✪✩✹✑✶✚❴❁✢✲✵✩✪✲✵✧❖✲✵✴❆✑✶✚❸➄✒✲✵✘❂✕✉❢✵✜P❏♣✑✙✘✒❜✶✜➈✏✇✮✛✫❦✑❖✚❴✑✢✓●❇✻✕❀✘❂✕❀✩✪❫✵✘✛✜❣✥✇❫✵✮❪✧❺✫❾✑✙✮❆✧✶✚ ✑✙✘❂❁✢❫✵✮❪✧✶✲✡❵❪✑✙✩✹✑✙✘❆✓❀✚✣✑✢✓①✚✼❫✵✮✛✓✖✕✗✑✙✘③✩✪❫✵✧❖✲❡✫❦❉ ❚❱✘✤❧❑✘✛✜●r✷✑✱✧✤✑✙✩✹✑✙✧❖❁✡✕✗✑♠✩✹✑✶✚✌✥✇✲✵✧✤✑✙✘❪✓❼✚✌❷❴✲❄✥✇❫❥✑✢✓▼❇➍✲✵✧❄✕❀✲✵✩✪✲✣➎❂❋✆❏▼❚①✜✆✓✖❫✵✮✯✚➊✩✹✑✶✚⑥✽✼✧✤❃✤✧✤✑✶✚❝✑✢✓ ✚✼❫❡✑✙✮❪✧❳✚✢✜◗✓✖❫✵✮✛✓✈✑✆✫❍✲✎✽✼✲✵✩✪✕❦✫❦✫❾✑✶✜❑✲✵✕❀✘✛✚✼✕⑨❬✡✮❂✑⑥❇✻✧✶✚⑥❷❴✲❄✥✇❫q❋✆◆P▲❖✜①❶✆✘❂❫✵✘✹■❸❋✆■❸❋❭✑✢✓P❋♣✘❆✓✖❫✵✕❀✘✒✑⑥➎❂❋✆❏▼❚ ❬✡✮❪✕✉✜♣✴❆✑✿✫✭❫✵✕❀✘✾❫✵✮③✴❆✑❯✥★✧✤❃❖✚✢✜⑥✘❣✐❫✵✘❆✓✟r✼✲✵✩✪✲✵✕✉✚✱✩✹✑✙✘❂✲✡❵❆❜♥✫❦✑✙✮❪✧❳✚✸✑❦➏♣❫✵✧✢✓❀✚❯✥✇❫✵✮❆✧✌✩❥✐➇✑✙✘❂❁✢❫✵✮❪✧✶✲✡❵❆✑✤✧✹✑✢✓

(4)

✕ ✕✗✖✙✘✛✚✢✜✤✣✦✥★✧✩✘✛✪✫✜✬✖ ✭ ✕✮✕ ✯✱✰✳✲✬✴✵✜✬✚✢✲✶✘✢✪✳✜✬✖✓✣✦✷✹✸✺✜✤✣✦✻✞✰✳✷✞✼✵✷✽✘✔✰✳✷✞✥✦✚✾✲✿✖★✲✿✰❁❀❂✼❃✷✔✸✺✲✶✘✛❄✦❅✞✸✺✲✶✘✢✪✳❆✤✥✦✷ ❇❉❈ ❊ ❋✦●✞❍❏■❃❑▼▲❖◆✩P❏◗❙❘✬❚❱❯✮●✞❍❲▲❖❳❖▲❩❨❏❬▼❭❪❘❲■✛P❲◗✾❳❩❭❴❫❵■✢◗❙❛✽❯✮P❏❯❃❬▼■✢❳ ❊✢❜ ✁ ❝❂❞✢❡❣❢✐❤❥❞✢❡❧❦✙♠♦♥q♣✛♣✩❡r❢s❦✙❡❣t❂✉❃✈①✇③②✢④❱t✳④❱⑤⑥②③❦✙❡❣②✔✈❣❢s♥⑥❦⑦t✳④s⑧⑨④⑩t✫✈❂t✫♠✫④❷❶❁✉✮④❱❸❪❡❣②❹❦⑦④❱⑤⑥②✢②✢❡❣❢⑩❢❱❡ ✁ ✁ q❺ ✁ ❻❽❼✮♣③⑤✗t✫❾✛❿▼❦⑦❡▼❦❂⑧⑨④⑩②✢✈❣❸✔♥▼t✫④s❤❵❞✢❡▼❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❣➀ ✁➂➁ ➃ ❤❥❞✛④❱❢❱④⑩➄✢♠✫❡★✈❣❢s♥⑥❦⑦t✫④✐❤❥❞✛❡➅✉✢♥q②❹❦➆❢⑩❡✵⑧r♥✗❦✙➇✗✈r②✢✈❣♠♦♥▼❢ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❣➈ ✁➂➁ ✁ ➉➊❡❣②❹❦⑦❡❣❞✢♠❂✉✮❡▼❦❽✉✮✈⑨➋❖⑤✗♠✳❸✔♥qt✳④❱⑤✗②❹❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❣➈ ✁➂➁ ✁ ➉➊♠➌♥❧➍⑥♥▼④❱❢✞④❱②✮t✫❡r♠✫②✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁➂➁ ✁➂➁ ➉➊♠➌♥❧➍⑥♥▼④❱❢❏✉❃❡▼❦✿➋❖⑤⑥♠♦⑧⑨❡❧❦➆❡❣➎✮t✫❡r♠✫②✢❡▼❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁ ✁➂➁ ✁➐➏ ➃ ❤❵❞✢④⑩❢❱④❱➄✛♠✫❡✦✈❣❢✐♥✗❦❁t✫④s❤❵❞✢❡❙➑s➋❖⑤✗♠✳❸➒❞✢❢✐♥qt✳④❱⑤✗②➓➍✗♥▼♠✫④✐♥qt✫④⑩⑤✗②✢②✛❡❣❢❱❢⑩❡✗➔ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁ ✁➐➏ → ⑤✗④❉✉❃❡➣⑧⑨⑤⑥❸❪♣③⑤✗♠✫t✳❡❣❸❪❡❣②✮t✶❢⑩④❱②✢✈▼♥▼④❱♠✳❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁ ✁➐➏ ✁ ➃ ②✛❡❣♠✫➇⑥④❱❡➅④❱②✮t✫❡❣♠✳②✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✗➈ ✁➐➏ ✁ ➃ ②✛❡❣♠✫➇⑥④❱❡➅❡❣➎✮t✫❡❣♠✳②✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁✗↔ ✁➐➏ ✁➂➁ ➃ ②✛❡❣♠✫➇⑥④❱❡➅t✫⑤⑥t♦♥q❢⑩❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁✗↔ ✁➐➏ ✁➐➏ ↕ ♠➌✉❃♠✫❡❂✉✮❡✤➇✗♠♦♥▼②③✉❃❡❣❞✛♠✬✉❃❡▼❦✬✉❃④❷➙✽✈r♠✫❡❣②✮t♦❦✞t✫❡❣♠✳❸❪❡▼❦✞✉❃❡✤❢➜➛➝✈❣②✛❡❣♠✫➇⑥④❱❡✬④❱②✮t✫❡❣♠✳②✢❡ ♣③♥q♠❂♠♦♥▼♣✢♣③⑤✗♠✫t★➞❙❢➟➛➝✈r♣③♥q④✐❦✫❦⑦❡r❞✢♠ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁ ✁➂➠ ➡ ♠✫⑤⑥➄✢❢❱❿❣❸➓❡➅✉❃❡➅❸❪④❱②✛④❱❸✾④s❦✫♥▼t✫④⑩⑤✗② ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁ ✁➂➢ ➃ ❤❥❞❹♥qt✫④⑩⑤✗②③❦❂✉✽➛➐✈▼❤❥❞✛④❱❢❱④⑩➄✢♠✫❡❂❢❱⑤✮⑧r♥q❢❱❡❧❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➁✗➠ ➤ ➥➦◆✞❘❲➧✮❳❩❭✔➨➩❭✮➨➫❨❏❬▼■✢P❲■✛▲❩❬▼❭❪P❏◆③P➊➭➌❳❩▲❖P❲❯✮■✢▲❖❬▼❭ ➯✞❊ ✁ ➲✗❞③❦❁t✫④➳✇✩⑧❣♥qt✳④❱⑤✗②❴❸❪✈▼⑧❣♥▼②✢④s❤❵❞✢❡❂✉❃❞❴❸❪⑤✮✉❃❿❣❢⑩❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➏ ✁ ➵❽②③♥▼❢❱❼✛❦⑦❡➅❸✔♥▼t✫❾✢✈❣❸➸♥qt✫④✐❤❥❞✛❡❂✉❃❞✔♣✢♠✫❡❣❸➓④❱❡❣♠✬❸❪⑤✮✉❃❿r❢❱❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➏ ✁ ✁ ➺❽✈⑨✇③②✢④⑩t✫④⑩⑤✗②③❦✙❡❣t✤♠➌♥q♣✢♣③❡❣❢✐❦➆❡r②➼➻➽♥▼❢s⑧⑨❞✛❢❏✉❃❡▼❦✙➾➽♥q♠✳④s♥qt✳④❱⑤⑥②③❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➏ ✁ ✁ ➉✙❾✢✈❣⑤✗♠✳❿❣❸❪❡▼❦➽✉❃❡➅♠✫❡❣❢✐♥q➎✛♥qt✳④❱⑤✗② ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➏❵➢ ✁ ✁➂➁ ➵❽②③♥q❢⑩❼✢❦❁❡➅❸✔♥qt✳❾✢✈❣❸✔♥▼t✫④s❤❵❞✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➏ ❺ ✁ ✁➐➏ ➻➽♥q❢s⑧①❞✢❢❏✉❃❡➅❢➟➛➐❡❣②❃➍❵❡r❢❱⑤✗♣✛♣✩❡★❤❵❞③♥✗❦❁④➳❶➚⑧⑨⑤✗②✮➍❵❡❣➎✮❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➠✗↔ ➪ ➥➦◆✞❘❲➧✮❳❩❭✔➨➩❭✮➨➫❨❏❬▼■✢P❲❭❵➭✫➶❉❭❵➹❏▲s◆✩P➘P❲◆③P✞➭♦❳❖▲❩P❏❯❃■✛▲❩❬▼❭ ➴✽❜ ➁ ✁ ➲✗❞③❦❁t✫④➳✇✩⑧❣♥qt✳④❱⑤✗②❴❸❪✈▼⑧❣♥▼②✢④s❤❵❞✢❡❂✉❃❞❴❸❪⑤✮✉❃❿❣❢⑩❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➢ ❺ ➁ ✁ ➵❽②③♥▼❢❱❼✛❦⑦❡➅❸✔♥▼t✫❾✢✈❣❸➸♥qt✫④✐❤❥❞✛❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➢ ➈

(5)

➁ ✁➂➁ ➵❽❞✢t✳♠✫❡▼❦✤✉✮✈⑨➋❖⑤✗♠✳❸✔♥qt✳④❱⑤✗②❹❦✤♥✗✉❃❸❪④✐❦✫❦❁④❱➄✢❢⑩❡▼❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❺ ➠ ➁ ✁➐➏ ➡ ♠✫⑤⑥♣✢♠✫④⑩✈❣t✫✈▼❦✤✉✮❡▼❦✤❦⑦⑤⑥❢❱❞✢t✳④❱⑤✗②❹❦❽✉❃❞ ✉❃❡❣❞✢➎✮④❱❿r❸❪❡✤❸❪⑤✮✉❃❿❣❢⑩❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❺▼➀ ➁ ✁➂➠ ➻✬⑤✗❸➓♣✩⑤⑥♠✫t✳❡❣❸❪❡❣②✮t➽♥✗❦⑦❼✮❸❪♣✢t✳⑤✗t✳④s❤❵❞✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❺▼➈ ➁ ✁➂➢ ✗ ✈❣②✢✈❣♠➌♥q❢⑩④s❦✫♥▼t✫④⑩⑤✗②❴♥q❞ ⑧❣♥✗❦❂✉✽➛➝❞✛②✢❡➅⑧⑨⑤✮❤❵❞✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➀ ➯ ✘➅❬q◆③❨❏❳❩➧✮➨➩❭❪❘✬❚❱◆③❨❏◗⑨❑▼■✢❫❵❳❖❭✱❑▼❬▼▲s➭♦❘❏▲❩➨➩❭✮P❲◗r▲❩◆③P❏P❲❭✮❳ ✙✛✚ ✚ ✜✙❭✍✢❲❬▼◆③❨❲❳❖➧✮➨ ❭➓●✞❍❲■✢◗r▲➭➌◗⑨❑▼■❃❑▼▲❖●✞❍❏❭ ✙✤✣ ➠ ✁ ✥✏⑤✮✉❃❿❣❢⑩❡➅➍❃④✐❦✫⑧⑨⑤▼❶➟✈❣❢✐♥✗❦❁t✫④s❤❵❞✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➀✗➈ ➠ ✁ ➃ ②✢❡❣♠✳➇✗④❱❡❧❦✙④❱②✮t✫❡❣♠✳②✢❡✦❡❣t✤❡❣➎✮t✫❡r♠✫②✢❡✦✈r❢❱✈❣❸❪❡r②❃t➌♥q④❱♠✳❡▼❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈ ↔ ➠ ✁➂➁ ➃ ②✢❡❣♠✳➇✗④❱❡➅t✳⑤✗t♦♥▼❢❱❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈ ✕✮✕❃✕ ✦ ❅✞✼❃✜✬✰✫✥❂✘✢✪✳✜✿✖✺✖✤✥★✸✺❅✞✚✢✪✫❆✤✥✦✷ ✧ ❈ ➴ ★❪❳s❛✽◆③❬▼▲s❑✪✩❲➨➩❭❪❘❏❭✹❬▼❯❃◗r◆✩❳❖❍✞❑▼▲❩◆③P ✣✽❜ ➢ ✁ ➡ ♠✫⑤⑥➄✢❢❱❿❣❸➓❡➅✉❃④s❦✳⑧⑨♠✫❡rt ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈❥❺ ➢ ✁ ✁ ➺❽④s❦✳⑧⑨♠✫✈❣t✳④s❦✳♥qt✫④⑩⑤✗②❴✉❃❞❴✉❃⑤⑥❸✔♥q④⑩②✢❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈✗➀ ➢ ✁ ✁ ➃ ②✛❡❣♠✫➇⑥④❱❡➅t✫⑤⑥t♦♥q❢⑩❡➣✉❃④s❦✳⑧⑨♠✫❿❣t✳❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈✗➈ ➢ ✁ ✥✏✈❣t✳❾✢⑤✮✉❃❡▼❦✤②❃❞✛❸❪✈❣♠✫④✐❤❥❞✛❡▼❦✶✉❃❡➅♠✫✈❧❦⑦⑤✗❢⑩❞✢t✫④⑩⑤✗② ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈✗➈ ➢ ✁ ✁ ✥✏✈❣t✫❾✢⑤✮✉✮❡❙✉❃❡➣✉❃❡▼❦✳⑧⑨❡❣②✮t✫❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ➈✗➈ ➢ ✁ ✁ ✥✏✈❣t✫❾✢⑤✮✉✮❡✵❸✾❞✢❢❱t✳④❱➇✗♠✳④❱❢❷❢❱❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔✗↔ ❜ ❋❽❑▼❍❏❘❲❭❴❘❲❭✹❳❁❚⑩■✢❳ ❛ ◆③❬▼▲ ❑✫✩❲➨➩❭ ❊✭✬✞❊ ❺ ✁ ✮✢⑤✗♠✳❸➒❞✢❢⑩❡✦✉✮❡✵❤❵❞③♥⑥✉❃♠♦♥▼t✫❞✢♠✳❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔ ❺ ✁ ✯❵t✳♠✫❞③⑧⑨t✳❞✢♠✫❡➣✉❃❞✔♣✢♠✳⑤✗➇⑥♠♦♥q❸➓❸❪❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔ ❺ ✁➂➁ ➵❽♣✢♣✛♠✫⑤▼➎❃④⑩❸✔♥qt✳④❱⑤⑥②❪♣③♥q♠✤✈r❢❱✈❣❸❪❡r②❃t➌❦❉✇❹②✢④s❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔✗➁ ❺ ✁➂➁ ✁ ➻✬⑤✗②③❦❁t✫♠✫❞❹⑧⑨t✫④⑩⑤✗②✹✉✮❡▼❦✙✈❣❢❱✈r❸❪❡❣②✮t♦❦❲✇③②✢④✐❦ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔q➏ ❺ ✁➂➁ ✁ ➺❽✈⑨✇③②✢④⑩t✫④⑩⑤✗②❴✉❃❡➅❢➟➛➐❡▼❦⑦♣③♥⑥⑧⑨❡☎✰✲✱➣✉✽➛♥▼♣✢♣✢♠✫⑤▼➎✮④❱❸✔♥▼t✫④⑩⑤✗② ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔q➏ ❺ ✁➂➁ ✁➂➁ ➃ t✳❞③✉❃❡ ✉❃❞✔♣✢♠✫⑤⑥➄✢❢❱❿❣❸➓❡✦✉❃④✐❦✫⑧⑨♠✳❡❣t ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔✗➢ ❺ ✁➐➏ ➃ t✫❞③✉✮❡❙✉❃❡➅❢s♥❙⑧①⑤✗②✮➍❵❡❣♠✫➇⑥❡❣②③⑧⑨❡❂t✫❾✢✈r⑤✗♠✫④✐❤❥❞✛❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ↔ ❺ ✙ ✳✞▲❖➨ ❍❲❳❖■❃❑▼▲❖◆③P❲◗➣P✽❍❏➨ ❯✮❬▼▲❩●✞❍❏❭✮◗ ❊✩❊③❊ ➀ ✁ ✴✤✈▼❦⑦❞✢❢⑩t♦♥▼t♦❦✤②❃❞✢❸➓✈❣♠✫④✐❤❥❞✢❡❧❦✶✉❃❞✏♣✛♠✫❡❣❸❪④⑩❡❣♠✶❸❪⑤✮✉✮❿❣❢❱❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✡ ➀ ✁ ✁ ➻➽♥✗❦❂✉✽➛➝❞✢②❴⑤✗➄③❦❁t♦♥⑥⑧⑨❢❱❡➅♣✢❢✐♥q②❴⑧❣♥q♠✳♠✫✈ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✡ ➀ ✁ ✁ ➻➽♥✗❦❂✉✽➛➝❞✢②❴⑤✗➄③❦❁t♦♥⑥⑧⑨❢❱❡➅♣✢❢✐♥q②❴⑧⑨④❱♠➌⑧⑨❞✢❢✐♥q④❱♠✳❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ❣➈ ➀ ✁ ✯❵④⑩❸➒❞✢❢✐♥qt✳④❱⑤✗②❹❦✿②✮❞✢❸❪✈❣♠✳④s❤❵❞✢❡▼❦✶✉❃❞ ✉❃❡❣❞✢➎✮④❱❿r❸❪❡✤❸❪⑤✮✉❃❿❣❢⑩❡ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✁ ✼❡ ➀ ✁ ✁ ✯❵④❱❸✾❞✢❢s♥▼t✫④⑩⑤✗②③❦✬♣✩⑤⑥❞✢♠❂❞✢②✔t✫④s❦✳❦⑦❞❴❡❣②❴⑧⑨⑤✗t✳⑤✗② ➑❩⑤⑥➄③❦⑦t➌♥✗⑧⑨❢⑩❡✵♣✢❢✐♥q②✽➔ ✁ ✁ ✁ ✁ ✁ ✼ ➁ ➀ ✁ ✁ ✯❵④❱❸✾❞✢❢s♥▼t✫④⑩⑤✗②③❦✬♣✩⑤⑥❞✢♠❂❞✢②✔t✫④s❦✳❦⑦❞❴❡❣②✔❢s♥q④⑩②✢❡❙➑❖⑤✗➄③❦❁t♦♥✗⑧①❢❱❡➅♣✢❢s♥▼②✽➔ ✁ ✁ ✁ ✁ ✁ ✼ ➢ ➀ ✁ ✁➂➁ ✯❵④❱❸✾❞✢❢s♥▼t✫④⑩⑤✗②③❦✬♣✩⑤⑥❞✢♠❂❞✢②✔t✫④s❦✳❦⑦❞❴❡❣②✔❢s♥q④⑩②✢❡❙➑❖⑤✗➄③❦❁t♦♥✗⑧①❢❱❡➣❦⑦♣✢❾✛✈❣♠✫④✐❤❥❞✢❡⑥➔ ✁ ✁ ➁✗↔ ✣ ✵➣◆③P❲❫❵❳❖❍❲◗r▲❩◆③P❏◗➒❭❵❑✲✢✬❭❃❬▼◗✶✢✬❭✮❫✗❑▼▲✸✷ ❭✮◗ ❊❃➪✛✚

(6)
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→ ⑤✗♠➌❦✫❤❵❞✞➛➝⑤⑥②✹✉❃✈❣♣③⑤ ❦⑦❡➅❞✢②❪t✳④s❦✫❦❁❞❴❦⑦⑤✗❞✛❸❪④s❦➽➞❙❦⑦⑤✗②❴❦❁❡❣❞✢❢✽♣③⑤⑥④s✉✢❦❂❦⑦❞✢♠➽❞✢②❴❦⑦❞✢♣✛♣✩⑤⑥♠✫t✁✽✉❃❡❧❦✿♣✢❢⑩④s❦✙❦❁❡ ➋❖⑤✗♠✳❸❪❡❣②✮t ✁✢→ ➛➝❡r②③❦⑦❡❣❸✾➄✢❢⑩❡✦✉❃❡➣⑧⑨❡❧❦✿♣✢❢⑩④s❦✤⑧⑨⑤⑥②③❦⑦t✳④❱t✫❞✛❡ ❢⑩❡➅✉❃♠➌♥q♣③✈❙✉❃❞❴t✫④✐❦✫❦⑦❞ ✁ ✂☎✄✝✆✟✞ ✡✠ ✥✏④s❦⑦❡✾❡❣② ✈r➍❃④✐✉❃❡❣②③⑧⑨❡✾♣③♥▼♠✵❢➟➛➐❡❣➎✮♣✩✈r♠✫④❱❡r②③⑧⑨❡✾✉❃❞ ♣✛❾✢✈❣②✢⑤⑥❸❪❿❣②✢❡✾✉❃❡➸✉❃♠♦♥▼♣✩✈❴✉✽➛➐❞✢② t✳④s❦✫❦❁❞ ♣③⑤❵❦❁✈❙❦⑦❞✛♠❽❢⑩❡➅⑧⑨⑤✗④⑩②❴✉✽➛➝❞✢②✛❡ t➌♥q➄✢❢⑩❡ ✁ → ➛➝✈❣t✳❞③✉❃❡ ✉❃❡➽⑧⑨❡✙♣✢❾✛✈❣②✢⑤✗❸➓❿❣②✢❡✶❡▼❦❁t✶✉✮✈❣❢❱④✐⑧❣♥qt✳❡✶♣③♥q♠ ✉❃④❱➍❵❡❣♠➌❦✞♥✗❦❁♣✩❡❧⑧⑨t♦❦ ✁✗➃ ②✵❡①➙✽❡rt☛❣❢❱❡❧❦➊t✳④s❦✫❦❁❞③❦✞⑤✗②✮t ❞✢② ⑧⑨⑤⑥❸❪♣③⑤✗♠✳t✫❡❣❸❪❡r②❃t➽②✢⑤✗②❃❶➜❢❱④⑩②✢✈▼♥▼④❱♠✫❡➣✈❣➍✮④s✉❃❡❣②✮t❂✉❃❞✏➋➜♥▼④❱t➅✉❃❡➣❢❱❡❣❞✛♠❽➇⑥♠♦♥q②❹✉❃❡❪❦❁⑤✗❞✢♣✛❢❱❡▼❦✳❦⑦❡ ✁ ➺✵➛♥▼❞✢t✫♠✳❡ ♣③♥▼♠✫t☛✢④⑩❢❏❦⑨➛➂♥q➇✗④⑩t✤➍❃④✐❦⑦④⑩➄✢❢❱❡❣❸➓❡❣②❵t✬✉✽➛➐❞✢②✏♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡❂❡❣②✔➇✗♠➌♥q②③✉✢❦❂✉❃✈❣♣✛❢s♥✗⑧①❡❣❸❪❡❣②✮t♦❦ ✁ → ❡▼❦ ⑤⑥➄✌☞✫❡▼⑧⑨t✳④➳➋➜❦➅✉❃❡✔⑧⑨❡✾t✫♠➌♥❣➍✗♥▼④❱❢➽❦⑦⑤⑥②❃t ✉✽➛➝✈r❢s♥q➄③⑤⑥♠✫❡❣♠➣✉❃❡▼❦➅❸❪⑤✮✉❃❿❣❢⑩❡▼❦❽❸✔♥▼t✫❾✢✈r❸✔♥qt✳④s❤❵❞✢❡▼❦✤♣✩⑤⑥❞✢♠ ⑧⑨❡✾♣✢♠✫⑤⑥➄✢❢❱❿r❸❪❡❙✉❃❡➓✉❃♠➌♥q♣③✈❪❡❣t➣✉❃❡✾♠✫✈▼❦❁⑤✗❞③✉✮♠✫❡✾②❃❞✢❸➓✈❣♠✫④✐❤❥❞✢❡r❸➒❡①②❃t✤❢⑩❡▼❦✦♣✢♠✫⑤⑥➄✢❢❱❿r❸❪❡▼❦❂♥q④❱②❹❦⑦④✬♣③⑤❵❦⑦✈❧❦ ✁ → ❡▼❦❪❸❪⑤✮✉❃❿r❢❱❡▼❦❙❸✔♥✗⑧①♠✫⑤❵❦✳⑧⑨⑤✗♣✛④s❤❵❞✢❡▼❦❙⑤✗②✮t❪✈❣t✫✈✹♣✛♠✫④❱➍✮④❱❢⑩✈❣➇✗④⑩✈▼❦❙✉✢♥▼②③❦✔⑧⑨❡✹t✫♠➌♥❧➍⑥♥▼④❱❢✍✬✈❣t➌♥q②✮t✏❦❁⑤✗❞✢➍❵❡r②❃t ✉❃❡▼❦✳⑧⑨♠✫④⑩♣✢t✫④⑩➄✢❢❱❡❧❦✿♥❣➍❵❡▼⑧✤❞✢②❪②✛⑤✗❸✾➄✢♠✫❡❂♠✫✈▼✉✮❞✢④❱t➽✉❃❡✦♣❹♥q♠♦♥▼❸❪❿❣t✳♠✫❡▼❦✬❤❵❞✢❡✦❢➟➛➐⑤✗②❪♣③❡❣❞✛t✙❸❪❡▼❦❁❞✢♠✫❡r♠✿❡r➎❃♣③✈❣♠✳④➳❶ ❸❪❡❣②✮t♦♥▼❢❱❡❣❸✾❡❣②✮t ✁ → ♥ ➇⑥✈❣⑤✗❸❪✈rt✫♠✫④⑩❡❴✉❃❞ t✳④s❦✳❦⑦❞ ❡▼❦⑦t❪t✳❡❣❢❱❢⑩❡ ❤❥❞ ➛➝⑤✗②☛♣③❡❣❞✛t✱❢➜➛♥⑥❦✫❦⑦④⑩❸❪④❱❢⑩❡❣♠✾➞ ❞✢②✢❡✹♣✢❢✐♥✗❤❵❞✢❡✹❸❪④⑩②③⑧⑨❡ ♣③⑤❵❦✳❦⑦✈▼✉✢♥▼②❃t❂✉✮❡❣❞✢➎➓✉❃④❱♠✳❡▼⑧⑨t✫④⑩⑤✗②③❦✶♣✢♠✳④❱➍✮④❱❢⑩✈❣➇✗④⑩✈❣❡▼❦❏⑧⑨⑤✗♠✳♠✫❡▼❦❁♣✩⑤⑥②③✉✢♥▼②❃t❂➞✵❢✐♥ ⑧♦❾③♥✏✎❱②✢❡❂❡❣t✤➞➅❢s♥➅t✫♠♦♥▼❸❪❡★✉❃❞ t✫④✐❦✫❦❁❞ ✁ ➻✬❡❣t✫t✳❡ ➋➜♥▼④❱➄✢❢⑩❡➒✈❣♣❹♥q④s❦✳❦⑦❡❣❞✛♠ ♠✳❡❣②③✉ ♥q❞③❦✳❦⑦④➽②③♥qt✳❞✢♠✫❡❣❢⑩❢❱❡✾❞✢②✢❡✾❾❃❼✮♣③⑤✗t✳❾✢❿▼❦⑦❡➸⑧⑨④❱②✢✈r❸✔♥qt✳④s❤❵❞✢❡➣✉❃❡ ➻✬⑤❵❦✳❦⑦❡❣♠➌♥qt✁✒✑❛ ↔✏✓ ✛❤❥❞✢④③♣③❡❣♠✳❸❪❡❣t➽✉❃❡✦♠✳❡❣❸❪♣✢❢✐♥✗⑧⑨❡❣♠❉❢s♥✵✉✮✈⑨➋❖⑤✗♠✳❸✔♥qt✳④❱⑤✗②✾t✫♠✳④➳❶➚✉❃④❱❸➓❡❣②③❦⑦④⑩⑤✗②✢②✛❡❣❢❱❢⑩❡✙♣③♥▼♠✤❢❱❡▼❦ ✉❃✈⑨➋❖⑤⑥♠✫❸✔♥▼t✫④⑩⑤✗②③❦➽✉❃❡✵❢✐♥❙❦⑦❞✢♠❁➋➜♥✗⑧⑨❡➅❸❪⑤▼❼❵❡❣②✢②✛❡❽❡❣t❂✉ ➛➝❞✢②✔➍❵❡▼⑧⑨t✳❡❣❞✢♠➽✉❃④⑩♠✫❡▼⑧⑨t✳❡❣❞✢♠➽t✫♠♦♥▼②③❦⑦➍❵❡r♠♦❦⑦❡ ✁ ➃ ②☛♣✩⑤ ❦⑦t✳❞✢❢s♥▼②❃t✔❞✢②✢❡❴♠✫✈❣♣③⑤⑥②③❦⑦❡✹❢⑩④❱②✢✈▼♥▼④❱♠✳❡✹✉❃❞☛t✳④s❦✫❦❁❞☛♥▼❞✢➎☛✉❃✈①➋❖⑤✗♠✫❸➸♥qt✫④⑩⑤✗②③❦✔➑➟♥▼❢❱⑤⑥♠♦❦✔❤❥❞✛❡✏❢❱❡ t✫❡r②③❦⑦❡❣❞✛♠✦✉❃❡❧❦✦✉❃✈⑨➋❖⑤⑥♠✫❸✔♥▼t✫④❱⑤⑥②③❦✤②✞➛➝❡▼❦❁t❽♣❹♥✗❦❽❢⑩④❱②✢✈▼♥▼♠✫④✐❦⑦✈✗➔✔✑ ③②✢⑤⑥❞③❦✦♥q➄③⑤⑥❞✢t✫④✐❦✫❦⑦⑤⑥②③❦✵✉✛♥q②③❦❽❢⑩❡❙⑧♦❾③♥❧❶

(9)

♣✢④⑩t✫♠✫❡ ✦➞✵❞✢②❪❸➓⑤✮✉❃❿❣❢❱❡★♥✗❦✳❦⑦❡✁★➇✗✈❣②✢✈r♠♦♥q❢ ✢♥⑥❦✫❦⑦⑤✮⑧①④❱✈➣➞ ❞✢②✛❡ ✈r②✢❡❣♠✫➇⑥④❱❡★✉❃⑤✗②✮t✙②✛⑤✗❞③❦✤✉❃✈❧✉❃❞✢④s❦❁⑤✗②③❦✙❞✛②✢❡ ✈▼❤❵❞③♥qt✳④❱⑤⑥②✏✉ ➛ ➃ ❞✢❢❱❡r♠⑦❶ → ♥q➇✗♠➌♥q②✢➇⑥❡ ✁ ➺❽❡★⑧⑨❡✤❸❪⑤✮✉❃❿❣❢⑩❡✬➇✗✈❣②✢✈r♠♦♥q❢ ✗②✢⑤⑥❞③❦✙✉❃✈❧✉❃❞✢④s❦❁⑤✗②③❦✶❡❣②❹❦⑦❞✢④⑩t✫❡✤✉✮❡❣❞✢➎✵❸➓⑤✮✉❃❿❣❢❱❡❧❦✶❦⑦④⑩❸❪♣✢❢❱④❷✇③✈▼❦ ✁q→ ❡❂♣✢♠✫❡⑨❶ ❸❪④⑩❡❣♠✦❡▼❦❁t ❞✛② ❸➓⑤✮✉❃❿❣❢❱❡✾✉✮④❱t➣✉❃❡❪❸❪❡r❸➒➄✢♠➌♥q②✢❡➣②✢⑤✗②✮❶➟❢⑩④❱②✢✈▼♥▼④❱♠✳❡ ✞✉❃⑤⑥②❃t➣❢➟➛➝✈r②✢❡❣♠✫➇⑥④❱❡✾♥⑥❦✫❦⑦⑤✮⑧①④❱✈❣❡❪② ➛➝❡▼❦❁t t✫⑤⑥❞✢t✫❡①➋❖⑤✗④s❦✦♣③♥⑥❦➅❤❥❞③♥⑥❦⑦④❷❶❁⑧⑨⑤⑥②❃➍❵❡r➎❃❡ ✁ ✂ ⑤⑥❞③❦✦♥q➄③⑤⑥♠♦✉❃⑤⑥②③❦❙✉✢♥q②❹❦ ❢⑩❡✾⑧ ❾❹♥q♣✢④⑩t✫♠✫❡♥❪❢❱❡✾⑧❣♥▼❢s⑧⑨❞✢❢ ✉❃❡❙❢➟➛➐❡❣②❃❶ ➍❵❡❣❢⑩⑤✗♣✢♣③❡★❤❥❞③♥⑥❦⑦④❷❶❁⑧⑨⑤⑥②❃➍❵❡r➎❃❡❂✉❃❡★❢➟➛➝✈r②✢❡❣♠✫➇⑥④❱❡ ⑥⑧❣♥▼❢s⑧⑨❞✢❢ ❤❵❞✢❡❂②✢⑤✗❞③❦✬❡❣➎✮♣✢❢❱④✐⑧⑨④❱t✳⑤✗②③❦✶✉✛♥q②③❦✙❞✢②➸⑧❣♥✗❦✬♣③♥q♠✳t✫④➳❶ ⑧⑨❞✢❢⑩④❱❡❣♠ ✁ ✂ ⑤⑥❞③❦✶❸❪⑤✗②✮t✫♠✳⑤✗②③❦✬❤❵❞✢❡✦⑧①❡✦⑧❣♥⑥❦✿♣③♥▼♠✫t✳④s⑧⑨❞✢❢⑩④❱❡❣♠❉②✞➛➝❡▼❦❁t✬t✫⑤✗❞✛t✫❡⑨➋❖⑤⑥④s❦✿♣❹♥✗❦✿♠✳✈▼♥q❢⑩④s❦❁t✫❡★♥q❞❪②✢④⑩➍❵❡▼♥q❞ ✉❃❡▼❦✬❦❁④❱❸✾❞✢❢s♥▼t✫④❱⑤⑥②③❦ ▼⑧r♥q♠✬❢❱❡✤t✳④s❦✫❦❁❞❙♣③❡❣❞✢t✬❡❣②❙❡⑨➙ ❡❣t➽⑧⑨④✐❦✫♥q④⑩❢❱❢⑩❡❣♠❲④⑩②❃✇③②✢④⑩❸❪❡❣②✮t ✁▼→ ❡✦✉❃❡r❞✢➎❃④⑩❿❣❸❪❡✬❸❪⑤✮✉❃❿r❢❱❡ ④❱②✮t✫♠✳⑤✮✉❃❞✢④⑩t✾⑧⑨⑤✗❸❪♣✛♠✫❡❣②③✉ ❡❣②➩♣✢❢❱❞③❦❙❞✢②✢❡✔✈❣②✛❡❣♠✫➇⑥④❱❡✔✉❃❡☎✄③❡r➎❃④⑩⑤✗② ✁ ✂ ⑤⑥❞③❦❙❸❪⑤✗②✮t✫♠✳⑤✗②③❦➣❤❥❞✢❡✔❢➜➛➝✈❣②✢❡r♠⑦❶ ➇✗④⑩❡➣♥✗❦✫❦❁⑤✮⑧⑨④❱✈r❡ ② ➛➝❡▼❦❁t✙♣③♥⑥❦❽⑧⑨⑤❵❡r♠♦⑧⑨④⑩➍❵❡❽❡❣t✤♠✳✈❣➇✗❞✛❢s♥q♠✳④s❦❁⑤✗②③❦✤⑧⑨❡rt✫t✫❡★✈❣②✢❡❣♠✳➇✗④❱❡★❡❣②❴♥☛☞✫⑤✗❞✢t➌♥q②✮t✤❞✢②✔t✫❡❣♠✳❸❪❡ ❤❵❞✢④✬♠✫❡❣②③✉✹⑧①⑤✗❸❪♣✢t✳❡✾✉❃❡✾❢s♥❪➍⑥♥q♠✫④✐♥qt✳④❱⑤✗②➘✉❃❞➩⑧①④s❦✫♥▼④❱❢⑩❢❱❡❣❸❪❡①②✮t✤❸❪❡❣❸✾➄✢♠♦♥▼②③♥q④⑩♠✫❡ ✁ ➺✦♥▼②③❦ ❢⑩❡✾⑧ ❾❹♥q♣✢④⑩t✫♠✫❡ ➁ ✞②✢⑤⑥❞③❦✵♣✢♠✳⑤✗❞✢➍❵⑤⑥②③❦ ❢➜➛➝❡❣➎✮④s❦❁t✫❡❣②③⑧①❡✵✉ ➛➝❞✢② ❸➓④❱②✢④⑩❸➒④✐❦⑦❡❣❞✢♠✤♣③⑤⑥❞✢♠❙⑧⑨❡rt✫t✫❡✾✈❣②✢❡r♠✫➇✗④⑩❡❙♠✫✈❣➇⑥❞✢❢s♥▼♠✫④✐❦⑦✈❣❡ ❡❣② ❞✢t✳④❱❢❱④✐❦✫♥▼②❃t ✉❃❡▼❦✤t✫❡▼⑧♦❾✢②✢④✐❤❥❞✢❡❧❦✿✉✮✈❣➍❵❡❣❢❱⑤⑥♣✢♣③✈❣❡▼❦✬♣③♥q♠➅➻✬④s♥▼♠✫❢❱❡rt✤❡❣t❽➻✬⑤⑥❞✢t♦♥▼②③✉ ✑ ➢✕✓ ✁ → ⑤✗♠➌❦✫❤❵❞✢❡✹❢❱❡✔t✫④✐❦✫❦❁❞✓②✞➛➐❡▼❦⑦t❙♣✢❢⑩❞③❦❙♣✩⑤ ❦⑦✈ ❦⑦❞✢♠✾❞✢②✓⑤⑥➄③❦⑦t➌♥✗⑧⑨❢⑩❡✏♣✢❢✐♥q② ❸✔♥q④✐❦❙❦⑦❞✢♠✾❞✢②✢❡ ❦⑦♣✢❾✢❿r♠✫❡ ❢➟➛➂♥q②③♥▼❢❱❼✛❦⑦❡❪❸➸♥qt✫❾✛✈❣❸✔♥qt✳④s❤❵❞✢❡✾✉❃❞➩♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡✾❦⑦❡❴⑧⑨⑤⑥❸❪♣✢❢⑩④s❤❵❞✢❡ ✞⑧❣♥▼♠❙❢❱❡❪t✳④s❦✳❦⑦❞➩②✞➛➝❡❧❦⑦t❙♥▼❢❱⑤⑥♠♦❦ ✇③➎✮✈ ❤❵❞✞➛➝❡❣②➅❞✢②➣♣③⑤✗④❱②✮t❉✉❃❡✬❢s♥❂❦⑦♣✢❾✢❿r♠✫❡ ✁ ➺✦♥▼②③❦❲❢⑩❡✙⑧♦❾③♥▼♣✢④❱t✳♠✫❡ ➏ ❣②✢⑤⑥❞③❦❲❸❪⑤⑥②❃t✳♠✫⑤⑥②③❦✞❤❥❞ ➛➝④❱❢⑥❡▼❦⑦t❏②✢✈▼♥▼②✢❸❪⑤⑥④❱②③❦ ♣③⑤❵❦✳❦⑦④❱➄✛❢❱❡➅✉❃❡ ⑧⑨⑤✗②✮t✫⑤⑥❞✢♠✫②✢❡r♠✙❢➟➛➐④❱❸❪♣③⑤ ❦✫❦⑦④⑩➄✢④❱❢⑩④❱t✳✈✙✉ ➛➝⑤✗➄✛t✫❡❣②✢④⑩♠✙❞✢②✛❡✦④❱②✢✈r➇❵♥q❢⑩④❱t✳✈❂✉❃❡ ➡ ⑤⑥④❱②③⑧❣♥▼♠✫✈➅✉✛♥q②③❦✤⑧⑨❡ ⑧❣♥⑥❦ ✢❡❣②✔❞✢t✳④❱❢❱④✐❦✫♥▼②❃t➽❢s♥✾✉❃✈⑨✇③②✢④⑩t✫④⑩⑤✗②✔✉❃❡❧❦❽✉❃✈①➋❖⑤✗♠✫❸➸♥qt✫④⑩⑤✗②③❦➽♥✗✉❃④⑩❸❪④s❦✳❦⑦④⑩➄✢❢❱❡▼❦ ✁ → ❡➅⑧♦❾③♥q♣✢④⑩t✫♠✳❡ ➠ ❡▼❦❁t✙⑧①⑤✗②③❦✳♥✗⑧⑨♠✳✈✦➞➅❞✢②✢❡❂➄✢♠✫❿❣➍❵❡❂✉✮❡▼❦✫⑧⑨♠✳④❱♣✢t✳④❱⑤⑥②✾✉❃❞❪♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡✤❤❵❞③♥⑥❦⑦④➳❶➚❦⑦t➌♥qt✳④s❤❵❞✢❡ ♥✗❦✳❦⑦⑤✮⑧⑨④⑩✈✵❡❣②✔④⑩②❃t✳♠✫⑤✮✉❃❞✢④✐❦✫♥▼②❃t✤❞✢②✔❸❪⑤✮✉✮❿❣❢❱❡✦➍✮④s❦✳⑧⑨⑤q❶➜✈❣❢✐♥✗❦⑦t✳④s❤❵❞✢❡ ✁ → ❡▼❦✤❸❪⑤✮✉❃❿❣❢⑩❡▼❦✙④❱②✮t✫♠✳⑤✮✉❃❞✢④❱t➌❦✤✉✢♥q②❹❦❽❢s♥❙♣✢♠✫❡r❸❪④❱❿❣♠✳❡✤♣③♥q♠✳t✫④⑩❡❙⑧⑨⑤⑥②③✉❃❞✢④✐❦⑦❡❣②✮t☛③✉✢♥▼②③❦✤❢s♥✾✉❃❡❣❞✢➎✮④❱❿❣❸➓❡ ♣③♥▼♠✫t✫④⑩❡❂✉❃❡❂⑧⑨❡✤t✳♠♦♥❣➍⑥♥q④❱❢ ❵➞✦✉❃❡❧❦✿❦❁④❱❸✾❞✢❢s♥▼t✫④⑩⑤✗②③❦✞②❃❞✛❸❪✈❣♠✫④✐❤❥❞✛❡▼❦✩♠✳✈▼♥q❢⑩④s❦⑦t✳❡▼❦✶✉❃❞✾♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡➽✉❃❞➓✉❃♠♦♥▼♣✩✈ ✁ → ❡➣⑧ ❾❹♥q♣✢④⑩t✫♠✫❡ ➢ ✉❃✈▼⑧①♠✫④❱t➽❢➟➛➂♥q❢❱➇⑥⑤✗♠✳④❱t✫❾✛❸❪❡✤❞✢t✫④⑩❢❱④✐❦⑦✈❂♣✩⑤⑥❞✢♠❂❢s♥ ♠✳✈▼❦⑦⑤⑥❢❱❞✢t✳④❱⑤⑥②✏✉✮❡➅⑧⑨❡✦♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡ ✁ ➵❽♣✢♠✫❿❧❦ ♥❣➍❵⑤✗④⑩♠✤✉❃④✐❦✫⑧⑨♠✳✈❣t✫④✐❦⑦✈✦❢➜➛➝✈❣②✢❡r♠✫➇✗④⑩❡✦⑧①⑤✗②✮t✫④❱②✮❞✢❡✦♣❹♥q♠❂✉❃④❷➙✽✈r♠✫❡❣②③⑧①❡▼❦ ✇③②✛④❱❡▼❦ ✢②✢⑤✗❞③❦✤♥▼♣✢♣✢❢⑩④s❤❵❞✢⑤✗②③❦✤❞✢②✢❡★❸❪✈⑨❶ t✫❾✛⑤✮✉❃❡✦✉✮❡✦✉❃❡❧❦✫⑧⑨❡❣②✮t✫❡➽♣③⑤✗❞✢♠✬❡❣②➓⑧ ❾✛❡❣♠♦⑧♦❾✢❡❣♠❏❞✢②❙❸❪④⑩②✢④❱❸✾❞✢❸ ❢❱⑤✮⑧❣♥▼❢ ✁ ➵➆✇❹②✾✉✽➛♥▼❸❪✈❣❢❱④⑩⑤✗♠✳❡❣♠✞❢s♥✦➍✮④❱t✫❡❧❦✫❦⑦❡ ✉❃❡✔⑧①⑤✗②✮➍❵❡❣♠✫➇⑥❡❣②③⑧⑨❡➓✉❃❡✔❢➟➛➂♥q❢❱➇⑥⑤✗♠✳④❱t✫❾✛❸❪❡ ③②✢⑤✗❞③❦✾⑧⑨⑤⑥❞✢♣✢❢❱⑤⑥②③❦❙⑧⑨❡❣t✳t✫❡✾❸❪✈❣t✳❾✢⑤✮✉❃❡✔✉❃❡➸✉❃❡▼❦✫⑧①❡❣②❃t✳❡❪♥❣➍❵❡▼⑧ ❞✢②✢❡❴❸❪✈❣t✳❾✢⑤✮✉❃❡✔❸➒❞✛❢❱t✫④⑩➇✗♠✳④❱❢❱❢⑩❡ ✁ ➻✬❡❣t✳t✫❡ ✉❃❡❣♠✫②✛④❱❿❣♠✳❡✏⑧①⑤✗②③❦❁④s❦⑦t✳❡✹➞ ⑧①⑤✗❸❪❸❪❡r②③⑧⑨❡①♠ ❢✐♥ ✉❃❡▼❦✳⑧⑨❡❣②✮t✫❡❴❦⑦❞✛♠ ❞✢②✢❡❙➇⑥♠✫④⑩❢❱❢❱❡➅➇⑥♠✫⑤❵❦✳❦⑦④⑩❿❣♠✫❡ ♣✢❞✢④s❦★➞➒♠♦♥✁✆❪②✢❡r♠➅⑧⑨❡❣t✳t✫❡✵➇⑥♠✫④⑩❢❱❢❱❡ ♥q❞✏➋❖❞✢♠★❡❣t➅➞➒❸❪❡❧❦⑦❞✢♠✳❡ ✁✽→ ♥✔⑧ ❾③♥▼♣✢④❱t✳♠✫❡✾❺ ✉❃✈▼⑧①♠✫④❱t❂⑧①❡❣t❂♥q❢⑩➇✗⑤✗♠✳④❱t✳❾✢❸❪❡✦❡❣t❂❡❣②✔♣✢♠✳⑤✗❞✢➍❵❡➣❢s♥❙⑧⑨⑤⑥②❃➍❵❡❣♠✳➇✗❡❣②❹⑧⑨❡✦t✫❾✛✈❣⑤✗♠✳④s❤❵❞✢❡ ✢❸❪⑤▼❼❵❡❣②✢②❹♥q②✮t✙❞✢②✢❡➅❾✮❼❥❶ ♣③⑤✗t✳❾✢❿▼❦⑦❡ ✉❃❡❂✉❃❡❣②③❦❁④❱t✳✈ ✁ ✂ ⑤⑥❞③❦✿♣✢♠✳✈▼❦⑦❡r②❃t✳⑤✗②③❦✬✉✢♥▼②③❦✿❢⑩❡❂⑧ ❾③♥▼♣✢④❱t✳♠✫❡❂➀➣❤❥❞✢❡r❢s❤❵❞✢❡▼❦✶❦❁④❱❸✾❞✢❢s♥▼t✫④❱⑤⑥②③❦✞♣✩⑤⑥❞✢♠ ✉❃❡▼❦✙t✳④s❦✳❦⑦❞③❦✤❡❣②❴⑧⑨⑤✗t✳⑤✗②❴⑤✗❞✔❡❣②✔❢s♥▼④❱②✢❡➅♣③⑤❵❦❁✈▼❦❽❦❁❞✢♠❂❢❱❡➅⑧⑨⑤⑥④❱②❴✉✽➛➐❞✢②✢❡➅t♦♥▼➄✢❢❱❡➅⑤✗❞❴❦❁❞✢♠❽❞✛②✢❡➣❦⑦♣✢❾✢❿r♠✫❡ ✁ → ❡▼❦✹❸❪⑤✮✉❃❿❣❢⑩❡▼❦✱❸✔♥⑥⑧⑨♠✫⑤ ❦✫⑧⑨⑤⑥♣✢④s❤❵❞✢❡▼❦❴⑧⑨⑤✗②❹❦⑦④s✉✮✈❣♠✫✈▼❦✏♣③⑤⑥❞✢♠ ✉✮✈▼⑧⑨♠✫④⑩♠✫❡ ❢⑩❡▼❦✹✉❃✈⑨➋❖⑤⑥♠✫❸✔♥▼t✫④⑩⑤✗②③❦✹✉❃❡❧❦ ❦⑦t✳♠✫❞③⑧①t✫❞✢♠✳❡▼❦ ❸❪④⑩②③⑧⑨❡▼❦➅❦❁⑤✗②✮t❙❦⑦⑤⑥❞✢➍❵❡❣②✮t✵⑤⑥➄✢t✫❡❣②✮❞③❦✵♣③♥▼♠✾♥q♣✢♣✛♠✫⑤▼➎❃④⑩❸✔♥qt✳④❱⑤⑥② ✉✽➛➐❞✢②➩♣✢♠✫⑤⑥➄✢❢❱❿r❸❪❡❙♣✢❢❱❞❹❦ ➇✗✈r②✢✈❣♠♦♥▼❢✍✢❡❣②✔❞✢t✳④❱❢⑩④s❦✫♥▼②❃t➽❢s♥✵t✳❾✢✈❣⑤✗♠✳④❱❡➣✉❃❡▼❦✤⑧①⑤✮❤❥❞✢❡❧❦✙⑤✗❞✹✉✮❡▼❦✙♣✢❢s♥⑥❤❥❞✛❡▼❦✙❸❪④❱②❹⑧⑨❡▼❦ ✁ ✝ ②✢❡➓⑧⑨⑤✮❤❵❞✢❡❪❸❪④⑩②③⑧⑨❡ ✉✢♥q②❹❦❙❦✫♥✹⑧⑨⑤⑥②❃✇③➇✗❞✛♠♦♥qt✳④❱⑤⑥②✓✉✮❡➒♠✳✈⑨➋❖✈❣♠✫❡r②③⑧⑨❡ ✽❡❧❦⑦t❙✉✮✈⑨✇③②✢④⑩❡❪⑧⑨⑤⑥❸❪❸❪❡➣❞✢② ⑧⑨⑤⑥♠✫♣③❦✦❸✔♥▼t✫✈❣♠✳④❱❡❣❢✞t✳♠✫④➳❶➚✉❃④⑩❸❪❡❣②③❦❁④❱⑤✗②✛②✢❡❣❢❏✉❃⑤⑥②❃t✦❢➜➛➝❞✢②✛❡✾✉❃❡▼❦✦✉❃④⑩❸❪❡❣②③❦❁④❱⑤⑥②③❦ ➑❖✈❣♣③♥▼④s❦✫❦❁❡❣❞✢♠①➔✤❡▼❦⑦t➅♣③❡❣t✳④❱t✫❡ ♣③♥▼♠✶♠♦♥▼♣✢♣③⑤✗♠✫t ♥q❞✢➎➣✉❃❡❣❞✛➎✵♥▼❞✢t✫♠✳❡▼❦ ✁ ➺✵➛➐❞✢②✵♣③⑤✗④⑩②❃t❉✉❃❡➽➍❃❞✢❡➽❸✔♥qt✳❾✢✈❣❸✔♥▼t✫④✐❤❥❞✢❡ ♦⑧⑨❡❣❢✐♥❽❦❁④❱➇✗②✛④➳✇③❡➽❤❵❞✢❡✙❢✐♥ ⑧⑨⑤✮❤❵❞✢❡✬⑤✮⑧❣⑧⑨❞✢♣③❡✬❢➟➛➂♥✗✉❃❾✛✈❣♠✫❡❣②❹⑧⑨❡✬✉✽➛➐❞✢②➅⑤✗❞✢➍❵❡❣♠✳t✟✞✡✠☞☛☎✌✎✍✑✏✓✒✕✔✖✒✘✗⑨✉✮❡✚✙✜✛ ⑨⑤✣✢✤☛✹❡▼❦⑦t✞❞✛②✵⑤✗❞✛➍❵❡❣♠✫t ✉❃❡ ✙✦✥✶♠✳❡❣♣✢♠✫✈❧❦⑦❡❣②✮t♦♥▼②❃t➽❢s♥❙❦⑦❞✛♠⑦➋➜♥✗⑧①❡✵❸❪⑤▼❼❵❡❣②✢②✛❡✤❡❣t★✧✩✒✫✪✭✬✵♠✳❡❣♣✢♠✫✈❧❦⑦❡❣②✮t✫❡✦❢➜➛➝✈❣♣❹♥q④s❦✳❦⑦❡❣❞✛♠✤✉❃❡➅❢s♥✾⑧⑨⑤✮❤❵❞✢❡ ✁ ♥✤➇✗✈❣⑤⑥❸❪✈❣t✫♠✳④❱❡❏♣③♥q♠✳t✫④✐⑧⑨❞✢❢❱④⑩❿❣♠✫❡❉✉✽➛➐❞✢②➅t✫❡❣❢⑥❸❪④❱❢⑩④❱❡❣❞✤♣③❡❣♠✳❸❪❡❣t☛♦❸❪⑤▼❼❵❡❣②✛②③♥q②✮t ⑧⑨❡❣♠✫t➌♥q④⑩②✢❡▼❦✩❾✮❼✮♣✩⑤⑥t✫❾✢❿❧❦⑦❡▼❦

(10)

✉❃❡✔❦❁❡❪♠♦♥▼❸❪❡❣②✢❡r♠✵➞✔❞✢② ❸❪⑤✮✉✮❿❣❢❱❡✾➄✢④➳❶➚✉❃④⑩❸❪❡❣②③❦❁④❱⑤✗②✛②✢❡❣❢✍ ⑧✗➛➐❡▼❦⑦t➣➞✹✉❃④⑩♠✫❡➓➞✏❞✢② ❸❪⑤✮✉❃❿r❢❱❡✾♣✩⑤ ❦⑦✈❴❦⑦❞✛♠ ❢s♥✹❦❁❞✢♠⑦➋➜♥⑥⑧⑨❡✔❸❪⑤▼❼❵❡❣②✢②✢❡ ☛ ✁ ✝ ② ♣✢♠✫⑤⑥➄✢❢❱❿r❸❪❡➒➄✛④➳❶➚✉❃④❱❸❪❡r②③❦⑦④⑩⑤✗②✢②✢❡r❢✶❡▼❦⑦t✾❦❁⑤✗❞✢➍❵❡r②❃t➣♣✢❢❱❞③❦❙❦❁④❱❸❪♣✛❢❱❡➓➞ ♥q②❹♥q❢❱❼✛❦⑦❡r♠❙❦⑦❞✛♠❙❢❱❡❪♣✢❢✐♥q② ❸➸♥qt✫❾✛✈❣❸✔♥qt✳④s❤❵❞✢❡ ✁ ➺❽❡✔♣✢❢❱❞❹❦ ✶✉ ➛➝❞✢② ♣③⑤⑥④❱②✮t❙✉❃❡✔➍✮❞✢❡❪②✮❞✢❸❪✈❣♠✳④s❤❵❞✢❡ ③❞✢② ❸❪⑤✮✉❃❿r❢❱❡✔➄✢④➳❶➚✉❃④⑩❸❪❡❣②③❦❁④❱⑤✗②✛②✢❡❣❢✙❡❧❦⑦t✔❦❁⑤✗❞✢➍❵❡❣②✮t✾♣✢❢❱❞③❦❙➋➜♥✗⑧⑨④⑩❢❱❡✏❡rt➒❸❪⑤⑥④❱②③❦✾⑧⑨⑤ ✁ t✫❡❣❞✛➎ ❡r②☛t✫❡❣❸❪♣❹❦❙✉❃❡ ⑧❣♥▼❢s⑧⑨❞✢❢❂❤❵❞✞➛➐❞✢②✓❸❪⑤✮✉✮❿❣❢❱❡✔t✫♠✳④➳❶➚✉❃④❱❸➓❡❣②③❦⑦④⑩⑤✗②✢②✛❡❣❢ ✁ ✂ ⑤⑥t✫⑤✗②❹❦❪❤❥❞ ➛➝❞✢②✢❡✔♣✢❢✐♥✗❤❵❞✢❡✏❸➓④❱②③⑧⑨❡➓❡▼❦⑦t✾❞✢② ⑧❣♥⑥❦ ♣③♥▼♠✫t✫④✐⑧⑨❞✢❢⑩④❱❡❣♠➽✉❃❡➅⑧①⑤✮❤❥❞✢❡➅❸❪④⑩②③⑧⑨❡ ▼♣✢❞✢④✐❦✫❤❵❞✞➛➝⑤⑥➄✢t✫❡r②❃❞✢❡★❡❣②✔❦⑦❞✛♣✢♣③⑤❵❦✫♥▼②❃t★❤❵❞✢❡✦❢s♥❙⑧①⑤✗②❃✇③➇⑥❞✢♠♦♥▼t✫④⑩⑤✗②✹♥▼❞ ♠✫❡r♣✩⑤ ❦➆❡❧❦⑦t✤♣✢❢✐♥q②✢❡ ✁ ✝ ②✢❡❪♣✛♠✫❡❣❸❪④⑩❿❣♠✫❡➓♥q♣✛♣✢♠✫⑤✮⑧♦❾✢❡✔♣③⑤✗❞✢♠✾⑤✗➄✢t✳❡❣②✢④⑩♠❙✉❃❡▼❦✵❸➓⑤✮✉❃❿❣❢❱❡❧❦ ❢❱④⑩❸❪④❱t✳❡▼❦✵➑❖♣③♥✗❦✳❦✫♥q➇⑥❡✹✉❃❡✔❢✐♥✹❦⑦④➳❶ t✫❞❹♥qt✫④⑩⑤✗② t✫♠✳④➳❶➚✉❃④❱❸❪❡r②③❦⑦④⑩⑤✗②✢②✢❡r❢❱❢❱❡ ➞➸❢✐♥✔❦⑦④❱t✳❞③♥qt✳④❱⑤⑥②➫➄✢④❷❶❁✉✮④❱❸❪❡❣②❹❦⑦④❱⑤⑥②✢②✢❡❣❢⑩❢❱❡▼➔➽⑧⑨⑤✗②❹❦⑦④s❦❁t✫❡➓➞❪♣✩⑤ ❦⑦❡❣♠➣✉❃❡❧❦ ❾✮❼❃♣③⑤✗t✳❾✢❿▼❦❁❡▼❦ ✲q✥★✧✙✕❀❫✵✧❄✕ ❦❁❞✢♠✤❢s♥ ➋❖⑤⑥♠✫❸❪❡➅✉✮❡✦❢s♥❙❦❁t✫♠✫❞❹⑧⑨t✫❞✢♠✳❡ ❃♣❹♥q♠❂❡❣➎❃❡r❸❪♣✢❢❱❡✤❡r②✔⑧⑨⑤✗②❹❦⑦④s✉✮✈❣♠♦♥▼②❃t❂✉❃❡❧❦ ❸❪⑤✮✉❃❿r❢❱❡▼❦➽✉❃❡➣⑧⑨⑤✮❤❥❞✛❡▼❦✤✉❃❡❙➻✬⑤❵❦✳❦⑦❡❣♠➌♥qt ✑❛ ↔✏✓ ⑤✗❞ ✉❃❡ ✂ ♥q➇ ✉❃❾✢④☎✑ ➏ ➢✕✓ ➑❖⑤✗②✏♣③❡❣❞✛t❂♥q❞③❦✳❦⑦④❉❦⑦❡➅♠✫✈⑨➋❖✈r♠✫❡❣♠ ➞ ✑ ➁✏✓ ✑✡ ✓ ❡❣t ✑ ➠▼➏ ✓ ➔ ✁✩→ ❡▼❦❂✉❃④➳➙ ✈❣♠✳❡❣②✮t♦❦✿❸➓⑤✮✉❃❿❣❢❱❡❧❦✿✈❣❢✐♥q➄③⑤✗♠✳✈▼❦❽✉✛♥q②③❦❂⑧⑨❡➅t✫♠➌♥❧➍⑥♥▼④❱❢✞❦❁⑤✗②✮t❽⑤⑥➄✢t✫❡r②❃❞③❦✤♣③♥▼♠ ⑧⑨❡➅♣✢♠✳⑤✮⑧⑨✈▼✉❃✈ ✁ ✝ ②✢❡❂✉❃❡r❞✢➎❃④⑩❿❣❸❪❡✶➋➜♥✄✂①⑤✗②✒❵④❱②✮t✫♠✳⑤✮✉❃❞✢④⑩t✫❡✤♣✢❢⑩❞③❦✶♠✫✈▼⑧⑨❡r❸❪❸➒❡r②❃t✁❣✉❃❡❂♣✢♠✫⑤✮⑧①✈▼✉❃❡❣♠✶♣③⑤⑥❞✢♠✙⑤⑥➄✢t✫❡❣②✛④❱♠✬⑧⑨❡❧❦ ❸❪⑤✮✉❃❿r❢❱❡▼❦✶❢❱④⑩❸❪④❱t✳❡▼❦✞❡▼❦⑦t ✉✽➛➝❡⑨➙ ❡▼⑧①t✫❞✢❡❣♠✬❞✢②➸✉❃✈❣➍❵❡❣❢⑩⑤✗♣✢♣③❡❣❸❪❡r②❃t❉♥✗❦❁❼❃❸❪♣✛t✫⑤✗t✳④s❤❵❞✢❡★✉❃❡❽❢✐♥✵❦❁⑤✗❢❱❞✛t✫④❱⑤⑥②❴✉❃❞ ♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡✤⑤✗♠✳④❱➇⑥④❱②③♥▼❢✩♣❹♥q♠✙♠➌♥q♣✢♣③⑤⑥♠✫t❂♥q❞➓♣③♥q♠➌♥q❸❪❿❣t✳♠✫❡❂✉✽➛➐✈❣♣③♥▼④s❦✫❦❁❡❣❞✢♠ ✁❃↕ ②❪⑤✗➄✢t✳④❱❡❣②✮t➽♥q④⑩②③❦⑦④③❞✢②❪❸➓⑤q❶ ✉❃❿❣❢⑩❡✦❢❱④⑩❸❪④❱t✳❡❽➄✛④➳❶➚✉❃④❱❸❪❡r②③❦⑦④⑩⑤✗②✢②✢❡r❢ ✁❵➃ ②✏✈r❢s♥✗❦❁t✫④✐⑧⑨④❱t✳✈✦❢❱④⑩②✢✈▼♥q④⑩♠✫❡ ✢➻✬④✐♥q♠✫❢⑩❡❣t✤❡❣t❂➺❽❡❧❦⑦t✫❞✛❼❃②③✉✮❡❣♠ ✑q❺ ✓ ⑤✗②✮t ⑤✗➄✛t✫❡❣②✮❞❴✉❃❡▼❦✤♠✫✈▼❦❁❞✢❢❱t➌♥qt♦❦✤✉✮❡❙⑧⑨⑤⑥②❃➍❵❡❣♠✳➇✗❡❣②❹⑧⑨❡✦✉✮❡ ❢✐♥➒❦❁⑤✗❢⑩❞✢t✫④⑩⑤✗②✹✉✮❞✱♣✛♠✫⑤✗➄✛❢❱❿❣❸❪❡★t✫♠✫④❷❶❁✉✮④❱❸❪❡❣②❹❦⑦④❱⑤⑥②✢②✢❡❣❢ ➍❵❡❣♠➌❦ ❢s♥ ❦⑦⑤⑥❢❱❞✢t✳④❱⑤⑥②✓✉ ➛➝❞✢②➩♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡✾➄✢④➳❶➚✉❃④❱❸➓❡❣②③❦⑦④⑩⑤✗②✢②✛❡❣❢✍✞②✢⑤⑥t♦♥q❸➓❸❪❡❣②✮t✦♣③⑤✗❞✢♠❪❢⑩❡❪❸❪⑤✮✉❃❿r❢❱❡❪❢⑩④➳❶ ②✢✈▼♥▼④❱♠✳❡✵✉✮❡ ➾✬⑤⑥②✆☎➅♥▼♠✫❸✔♥▼② ✁ ➃ ②③❦⑦❞✢④⑩t✫❡✲✮✢⑤▼➎ ✴❂♥q⑤✗❞✛❢❱t✦❡❣t ✯❵④⑩❸❪⑤ ✑✗➀ ✓ ✑❛✗➈ ✓ ⑤✗②✮t✦⑤⑥➄✢t✫❡❣②✮❞✹❞✢②✢❡❙❾✛④❱✈❣♠➌♥q♠♦⑧♦❾✢④⑩❡✵✉✮❡✵❸❪⑤✮✉❃❿r❢❱❡▼❦ ➞➒♣③♥▼♠✫t✳④❱♠➅✉❃❞✹❸➓⑤✮✉❃❿❣❢❱❡➅t✳♠✫④➳❶➚✉❃④⑩❸❪❡❣②③❦❁④❱⑤✗②✛②✢❡❣❢✽②✛⑤✗②❃❶➜❢❱④⑩②✢✈▼♥q④⑩♠✫❡ ✁ ➻✬❡❧❦✦♥q❞✢t✳❡❣❞✢♠➌❦❽♣✢♠✫⑤⑥❞✢➍❵❡❣②✮t✦❤❵❞✞➛➐④❱❢✞❡▼❦❁t ➋❖⑤✗②❹✉✢♥q❸❪❡r②❃t➌♥q❢✞✉✮❡ ♣✛♠✫❡❣②③✉✮♠✫❡➅❡❣②❴⑧⑨⑤✗❸➓♣✢t✫❡✦❢➜➛➝⑤⑥♠♦✉❃♠✳❡✵✉✮❡ ➇⑥♠♦♥▼②③✉❃❡❣❞✢♠★✉❃❡▼❦✿➋❖⑤⑥♠♦⑧⑨❡❧❦✤♥q♣✢♣✢❢⑩④s❤❵❞✢✈❣❡▼❦✤❤❵❞✢④ ✉❃④✐⑧⑨t✫❡❙❢⑩❡➒❸❪⑤✮✉✮❿❣❢❱❡➣❢❱④❱❸➓④❱t✫❡➅⑤⑥➄✢t✫❡❣②✮❞ ✁❏➡ ⑤⑥❞✢♠❙✉❃❡❧❦★➋❖⑤⑥♠♦⑧⑨❡❧❦ ✉ ➛➝⑤✗♠➌✉❃♠✫❡➓✉❃❡✾➇✗♠➌♥q②③✉❃❡r❞✢♠❙✉❃✈❧⑧⑨♠✫⑤⑥④s❦✫❦✳♥q②✮t☛ ④❱❢✐❦➒⑤✗➄✛t✫④❱❡r②✢②✢❡❣②✮t❴❦⑦❞③⑧❣⑧①❡▼❦✫❦❁④❱➍❵❡❣❸❪❡r②❵t❙❢❱❡ ❸❪⑤✮✉❃❿❣❢⑩❡✏②✢⑤⑥②❃❶➟❢⑩④❱②✢✈❧♥q④❱♠✳❡ ✉✮❡➫❸❪❡r❸❙➄✢♠♦♥▼②✢❡ ✶❢❱❡ ❸❪⑤✮✉❃❿r❢❱❡ ②✢⑤⑥②❃❶➟❢⑩④❱②✢✈❧♥q④❱♠✳❡➣✉❃❡✓✄③❡❣➎✮④❱⑤✗② ✢❢❱❡➅❸❪⑤✮✉❃❿❣❢⑩❡➅✉❃❡➣➾✿⑤⑥②✝☎ ♥▼♠✫❸✔♥▼②✔❡❣t❽❢⑩❡➅❸❪⑤✮✉❃❿❣❢⑩❡✦❢❱④⑩②✢✈▼♥q④⑩♠✫❡ ❵❢⑩❡▼❦✤✉❃❡❣❞✢➎ ♣✢♠✳❡❣❸❪④❱❡r♠♦❦❙❸❪⑤✮✉❃❿❣❢⑩❡▼❦ ➍❵✈r♠✫④➳✇✩♥q②✮t➒❢⑩❡✹♣✢♠✫④⑩②③⑧⑨④❱♣③❡ ✉❃❡ ❢➟➛➐④❱②③✉✮④➳➙ ✈❣♠✫❡r②③⑧⑨❡✔❸✔♥qt✳✈❣♠✫④⑩❡❣❢❱❢⑩❡ ✁✿→ ➛➐⑤✗➄✢t✳❡❣②✮t✫④❱⑤⑥② ➋❖⑤✗♠✳❸❪❡❣❢⑩❢❱❡❙✉✮❞ ❸❪⑤✮✉❃❿❣❢⑩❡❙❸❪❡❣❸✾➄✢♠♦♥▼②③♥q④⑩♠✫❡➅❡❣t ✉❃❞ ❸❪⑤✮✉❃❿r❢❱❡✾✉❃❡✤✄③❡❣➎✮④❱⑤⑥② ♥✏✈❣t✳✈➒✈rt✫❡❣②③✉✮❞✢❡❪♥▼❞➩⑧❣♥⑥❦ ✉❃❡▼❦✤⑧①⑤✮❤❥❞✢❡❧❦➆♣③♥▼♠✕✥✏④s♥▼♠♦♥ ✑ ➏ ✓ ✑ ➏ ✓ ❡❣t → ⑤✮✉✢❦❽❡rt✕✥✏④s♥q♠➌♥ ✑ ➁ ➈ ✓ ✒✑ ➏❵↔✏✓ ✁ → ➛➝✈❣t✳❞③✉❃❡❂✉❃❡ ✮✢⑤▼➎ ✴❂♥q⑤⑥❞✢❢❱t✬❡❣t ✯❵④❱❸❪⑤★♥❣❼✮♥q②✮t➽✉❃✈❣t✫❡r♠✫❸❪④⑩②✢✈➽✉❃❡✙➋➜♥✄✂⑨⑤⑥② ➋❖⑤⑥♠✫❸❪❡r❢❱❢❱❡✬❢⑩❡▼❦❲❸❪⑤✮✉❃❿r❢❱❡▼❦ ❢❱④⑩❸❪④❱t✳❡▼❦ ✢④⑩❢✬✈❣t♦♥▼④❱t✵♣③⑤ ❦✫❦⑦④⑩➄✢❢❱❡➸✉❃❡❪⑧♦❾✢❡❣♠➌⑧ ❾✛❡❣♠➅➞✱❢⑩❡▼❦✦⑤✗➄✢t✳❡❣②✢④⑩♠❙✉❃❡✾❸✔♥q②✛④❱❿❣♠✳❡❙♠✫④❱➇⑥⑤✗❞✢♠✳❡❣❞③❦❁❡ ✁ ➵❽④❱②③❦❁④✍ ❞✢②✢❡➓♣✢♠✫❡❣❸➓④❱❿❣♠✳❡✾♥q♣✢♣✢♠✳⑤✮⑧ ❾✛❡✔♥✏✈❣t✫✈➓❸❪❡❣②✢✈❣❡❙♣❹♥q♠✾➵❂⑧⑨❡❣♠✫➄✛④✍✟✞✙❞✢t✳t♦♥ ✁❣⑤✏❡rt ➡ ❡❣♠➌⑧⑨④❱➍⑥♥▼❢❱❡ ✑ ✓ ✉✢♥▼②③❦ ❢❱❡➓⑧❣♥⑥❦ ✉✮❡▼❦➅⑧⑨⑤✗♠➌✉❃❡▼❦ ✁ ➻✬❡❣❢⑩❢❱❡⑨❶➚⑧⑨④✶❡❧❦⑦t➅➄③♥✗❦❁✈❣❡➓❦⑦❞✢♠➣❢s♥➒➋❖⑤✗♠✳❸➒❞✢❢✐♥qt✳④❱⑤✗② ✉✮❞➫♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡❙❡❣② ❸❪④⑩②✢④❱❸✾④➳❶ ❦✫♥▼②❃t✬❢➜➛➝✈❣②✢❡r♠✫➇✗④⑩❡✤✉❃❞✾♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡✙t✳♠✫④❷❶❁✉❃④⑩❸❪❡❣②③❦❁④❱⑤⑥②✢②✢❡❣❢ ✁ ✝ t✳④❱❢❱④✐❦✫♥▼②❃t❏❡❣❞✢➎✾♥▼❞③❦✫❦❁④✩❢✐♥❽➋❖⑤✗♠✫❸✾❞✢❢✐♥qt✫④⑩⑤✗② ✉❃❞ ♣✢♠✳⑤✗➄✢❢⑩❿❣❸❪❡➓✉❃❡❪❢➟➛➐✈❣❢s♥⑥❦⑦t✳④s⑧⑨④⑩t✫✈❙②✢⑤⑥②❃❶➟❢⑩④❱②✢✈❧♥q④❱♠✳❡✔❦⑦⑤⑥❞③❦❙❢s♥➸➋❖⑤⑥♠✫❸❪❡➓✉✽➛➐❞✢②➩♣✢♠✫⑤⑥➄✢❢❱❿❣❸➓❡❪✉❃❡➓❸❪④❱②✢④⑩❸❪④⑩❦✫♥❣❶ t✫④⑩⑤✗②✒ → ❡➣➺❽♠✳❡❣t✙❡rt✕✴❽♥▼⑤✗❞✢❢⑩t➅➑ ✑ ➁⑥➠ ✓ ✑ ➁✗➢✏✓ ➔❉⑤✗②✮t✤✈❣t♦♥▼➄✢❢❱④✞❢✐♥❙⑧⑨⑤✗②✮➍❵❡❣♠✫➇⑥❡❣②③⑧⑨❡★✉❃❡▼❦✙❸➓④❱②✢④⑩❸➒④✐❦⑦❡❣❞✢♠➌❦ ✗⑤⑥❞ ✉❃❡▼❦➽❤❥❞❹♥✗❦⑦④❷❶➟❸➓④❱②✢④⑩❸❪④⑩❦⑦❡❣❞✢♠➌❦ ▼➍❵❡❣♠♦❦✶❢✐♥✵❦⑦⑤⑥❢❱❞✢t✳④❱⑤⑥②✔✉✽➛➝❞✛②❪♣✢♠✫⑤⑥➄✢❢❱❿r❸❪❡❂✉❃❡❂❸❪❡❣❸✾➄✢♠♦♥▼②✢❡✙②✢⑤⑥②❃❶➜❢❱④❱②✛✈▼♥q④⑩♠✫❡ ✁ → ❡❣❞✢♠➓♥q②❹♥q❢❱❼✛❦⑦❡✔❞✢t✳④❱❢⑩④s❦⑦❡➸✉❃❡▼❦✵t✫❡❧⑧ ❾✢②✛④s❤❵❞✢❡▼❦✵✉✮❡✡✠✢❶➚⑧⑨⑤⑥②❃➍❵❡❣♠✳➇✗❡❣②❹⑧⑨❡ ➑❩➍❵⑤✗④⑩♠✵♣③♥▼♠➒❡r➎❃❡❣❸➓♣✢❢❱❡ ✑➳❺ ✓ ➔➅❡rt ✉❃❡✔❤❵❞③♥⑥❦⑦④➳❶➚⑧⑨⑤⑥②❃➍❵❡❣➎✮④➳✇✩⑧❣♥qt✳④❱⑤✗② ✁ ➻✬❡▼❦✵❸☞☛❣❸✾❡▼❦✦♥▼❞✢t✫❡r❞✢♠♦❦➅⑤✗②✮t✵✈❣❢✐♥q♠✫➇⑥④✙❢⑩❡❣❞✢♠❙♥▼②③♥q❢⑩❼✢❦❁❡✔♥q❞ ⑧❣♥⑥❦✵✉❃❡❧❦ ⑧⑨⑤✮❤❵❞✢❡▼❦✙❸❪❡r❸➒➄✢♠➌♥q②③♥▼④❱♠✳❡▼❦ ✁ ➺❽❡▼❦❙♠✫✈▼❦❁❞✢❢❱t➌♥qt➌❦ ♠✳✈▼⑧⑨❡❣②✮t♦❦❙✉✢♥▼②③❦❪⑧⑨❡ ✉❃⑤✗❸➸♥q④❱②✛❡❪⑤✗②✮t❪✈❣t✳✈✱⑤⑥➄✢t✫❡r②❃❞③❦❙♣③♥▼♠ ♥q②✮t ✑ ❺ ✙❤❵❞✢④

(11)

④❱②✮t✫♠✳⑤✮✉❃❞✢④⑩t✙✉✮❡❽❸✔♥▼②✢④❱❿r♠✫❡✿➋❖⑤⑥♠✫❸❪❡r❢❱❢❱❡✬❞✢②✾❸❪⑤✮✉❃❿r❢❱❡❂⑧⑨⑤⑥❞✢♣✢❢❱✈✤❸➓❡❣❸➒➄✛♠♦♥q②✛❡⑨❶ ✄❹❡❣➎❃④❷⑤⑥②✵❡❣t➽❤❵❞✢④✢⑤✗❞✛➍❃♠✳❡❽❢✐♥ ➍❵⑤✗④⑩❡➅➞❙❞✢②✢❡➅⑤✗➄✢t✳❡❣②✮t✫④❱⑤⑥②✔♠✫④❱➇⑥⑤✗❞✢♠✳❡❣❞③❦❁❡❙✉❃❞✔❸❪⑤✮✉❃❿r❢❱❡➅✉❃❡✓✄③❡r➎❃④⑩⑤✗②✔②✢⑤✗②✮❶➟❢⑩④❱②✢✈▼♥▼④❱♠✳❡ ✁✢➡ ♠✫⑤⑥♣③⑤❵❦✫♥▼②❃t★❞✢② ❢❱❡r❸❪❸➒❡✤✈r➍✗♥▼❢❱❞③♥▼②❃t✤❢✐♥➒✉✮④s❦⑦t➌♥q②③⑧①❡➅➞ ❞✛②✢❡➣✉❃✈⑨➋❖⑤✗♠✳❸✔♥qt✳④❱⑤⑥②❪♠✫④⑩➇✗④s✉✮❡ ✮✢♠✫④⑩❡▼❦⑦❡❧⑧✁❵❡ ➲❵♥q❸❪❡▼❦✙❡rt ✥✄✂✢❢⑩❢❱❡❣♠ ✑ ➁⑥↔✕✓ ✉❃⑤✗②✢②✛❡❣②❃t ✉❃❡❽➋➜♥ ✂⑨⑤✗②❴⑧⑨⑤⑥❸❪♣✢❢❱❿rt✫❡✤❢s♥ ☞✫❞③❦⑦t✳④➳✇ ⑧r♥qt✫④⑩⑤✗②✔✉✮❞❪❸❪⑤✮✉❃❿❣❢⑩❡✦✉✮❡ ✄③❡❣➎✮④❱⑤⑥②➒②✢⑤⑥②❃❶➜❢❱④❱②✛✈▼♥q④⑩♠✫❡ ✁ ✂ ⑤✗t✳⑤✗②③❦ ❏❤❥❞✞➛➐❡❣②✏➇⑥✈❣②✢✈❣♠➌♥q❢ ✽❢s♥❪✉✮❡❣②③❦⑦④⑩t✫✈ ✉✽➛➝✈❣②✛❡❣♠✫➇⑥④❱❡❙♥⑥❦✫❦❁⑤✮⑧⑨④❱✈❣❡➓➞❪⑧⑨❡❧❦✦✉❃④➳➙ ✈❣♠✳❡❣②✮t♦❦❽❸❪⑤✮✉✮❿❣❢❱❡▼❦ ❤❵❞✢❡✾⑧⑨❡❙❦❁⑤✗④⑩t✦♣③⑤✗❞✢♠➣✉❃❡▼❦✦❸✔♥▼t✫✈❣♠✳④s♥▼❞✢➎✔✉❃❡ ✯✮♥▼④❱②✮t✦➾✬❡❣②③♥▼②❃t❁❶ ☎✦④❱♠➌⑧ ❾✛❾✢⑤q➙ ⑤⑥❞➫➄✢④⑩❡❣② ✉✽➛➂♥q❞✢t✳♠✫❡▼❦❽❸➸♥❧❶ t✫✈r♠✫④s♥▼❞✢➎ ❃②✞➛➐❡▼❦⑦t✤♣③♥⑥❦❽❤❵❞③♥⑥❦⑦④➳❶➚⑧⑨⑤⑥②❃➍❵❡❣➎✮❡ ✛⑧⑨❡➅❤❵❞✢④✞❡❣②✔♠✫❡❣②❹✉✱✉✮④ ✆➸⑧⑨④❱❢⑩❡❽❢➜➛♥q②❹♥q❢❱❼✛❦⑦❡➅❸✔♥▼t✫❾✢✈r❸✔♥qt✳④s❤❵❞✢❡ ✁ ➉✞⑤✗❞✢t✳❡⑨➋❖⑤✗④✐❦ ⑧⑨❡❙❦❁⑤✗②✮t✦✉❃❡❧❦➆❸❪⑤✮✉✮❿❣❢❱❡▼❦✤❤❵❞✢④✞♠✳❡❣②③✉❃❡❣②✮t★⑧⑨⑤✗❸❪♣✛t✫❡❽✇ ✉✮❿❣❢❱❡❣❸➓❡❣②❃t ✉❃❞✹⑧①⑤✗❸❪♣③⑤✗♠✳t✫❡❣❸➓❡❣②❃t ✉❃❡▼❦✤❦❁t✫♠✳❞③⑧⑨t✫❞✛♠✫❡▼❦✙❸❪④✐❦⑦❡▼❦✬❡❣② ☞✫❡❣❞ ✁ ✂ ⑤✗t✳⑤✗②③❦❉❤❥❞✞➛➐❞✢②✵t✳④s❦✳❦⑦❞❙❡▼❦❁t❲❞✢②❙❸➸♥qt✫✈r♠✫④s♥▼❞➣✉❃④✆➸⑧⑨④❱❢⑩❡❣❸❪❡①②❃t ❸❪⑤✮✉❃✈❣❢⑩④s❦✳♥q➄✢❢⑩❡✶t♦♥▼②❃t✬❦❁❞✢♠✶❢⑩❡▼❦➊♣✛❢s♥q②❹❦ ❸✔♥⑥⑧⑨♠✫⑤ ❦✫⑧⑨⑤⑥♣✢④s❤❵❞✢❡❂❤❵❞✢❡❽❸➓④s⑧⑨♠✳⑤❵❦✫⑧①⑤✗♣✢④✐❤❥❞✢❡ ❣✈❣t♦♥▼②❃t➽t✫♠✫❿❧❦ ✄❹❡❣➎❃④⑩➄✢❢❱❡ ✁ ➉✞⑤✗❞✢t✳❡⑨➋❖⑤✗④✐❦ ✮⑧⑨❡❣♠✳t♦♥▼④❱②③❦✶❸❪⑤✮✉❃❿r❢❱❡▼❦ ❸❪④✐⑧⑨♠✫⑤ ❦✫⑧⑨⑤⑥♣✢④s❤❵❞✢❡▼❦✙⑤⑥②❃t➅✈❣t✳✈❙✈❣❢s♥▼➄✩⑤⑥♠✫✈▼❦❙➑➜⑧ ➋ ✁ ♣❹♥q♠➅❡❣➎✮❡❣❸❪♣✢❢⑩❡ ❢✐♥➒t✫❾✛❿▼❦⑦❡✾✉❃❡✾➉❏♥q♠❁➋➜♥q⑤⑥❞✢④ ✑ ➠ ❺ ✓ ➔ ✁❲→ ❡❧❦ ✉❃④❷➙✽✈r♠✫❡❣②✮t✫❡▼❦③t✫❡▼⑧♦❾✢②✢④✐❤❥❞✛❡▼❦✢❞✢t✫④⑩❢❱④s❦❁✈❣❡▼❦③♣✩⑤⑥❞✢♠❏❸❪⑤✮✉❃✈❣❢⑩④s❦⑦❡r♠✩❢⑩❡✬⑧⑨⑤⑥❸❪♣③⑤✗♠✫t✳❡❣❸❪❡❣②✮t③✉✽➛➐❞✢②➅t✫④✐❦✫❦⑦❞➅♣③❡❣❞✢➍❵❡r②❃t ☛❣t✳♠✫❡✵♠✳✈❣♣③♥▼♠✫t✫④⑩❡▼❦✤❡❣②✏t✳♠✫⑤✗④✐❦✦⑧❣♥▼t✫✈❣➇⑥⑤✗♠✫④⑩❡▼❦✆☎③➇✗✈❣⑤⑥❸❪✈❣t✳♠✫④s❤❵❞✢❡ ✮♣✢❾✮❼✢❦❁④s❤❵❞✢❡➅❡❣t❽❾✮❼✮➄✢♠✫④✐✉❃❡ ✁✽→ ♥❪♣✢❢❱❞✛♣③♥q♠✳t ✉❃❡▼❦❪❸❪⑤✮✉✮❿❣❢❱❡▼❦❙♣✢♠✳⑤✗♣③⑤❵❦❁✈▼❦✏✉✢♥▼②③❦✔⑧⑨❡ ✉❃⑤⑥❸✔♥q④⑩②✢❡✹❦❁❡➫♣✢♠✳✈❣⑤✮⑧❣⑧⑨❞✛♣✩❡r②❃t✔✉✮❡✹❢➟➛♥⑥❦⑦♣③❡▼⑧⑨t➓❸❪✈▼⑧❣♥▼②✢④s❤❵❞✢❡ t✫❾✛✈❣⑤✗♠✳④s❤❵❞✢❡✵❡❣t★❦⑦❞✛♠✫t✫⑤⑥❞✢t➣✉❃❡▼❦✦❦❁④❱❸✾❞✢❢s♥▼t✫④⑩⑤✗②③❦✙②✮❞✢❸❪✈❣♠✳④s❤❵❞✢❡▼❦➽❤❥❞✢④❉✉❃⑤⑥④❱➍❵❡❣②✮t❽♣✛♠✫❡❣②③✉✮♠✫❡✵❡r② ⑧⑨⑤✗❸❪♣✛t✫❡ ❢❱❡❧❦❽➄③❡▼❦⑦⑤⑥④❱②③❦✦⑤✗❞ ⑤✗➄✌☞✫❡❧⑧⑨t✫④❷➋➜❦❽✉❃❡❧❦ ④⑩②③✉❃❞③❦❁t✫♠✳④❱❡❣❢✐❦ ✁✞→ ❡✾⑧❣♥q❢✐⑧⑨❞✢❢❏②❃❞✢❸➓✈❣♠✫④✐❤❥❞✢❡➅❡▼❦❁t✦❡❣②✹➇⑥✈❣②✢✈❣♠➌♥q❢✬➄③♥✗❦❁✈ ❦⑦❞✛♠❽❢✐♥✵❸❪✈❣t✫❾✛⑤✮✉❃❡➅✉❃❡▼❦✤✈❣❢⑩✈❣❸❪❡❣②✮t♦❦❲✇③②✢④✐❦ ✁✽↕ ②✔♣③❡❣❞✢t★❦⑦❡➅♠✫✈⑨➋❖✈r♠✫❡❣♠➽♣③♥q♠❂❡❣➎✮❡❣❸❪♣✢❢⑩❡✦➞❪➻✬⑤✗❢⑩❢❱④❱❡r♠✙❡❣t❂♥▼❢ ✑r➈ ✓ ☎➅♥q②✛➇✱❡rt✦♥▼❢ ✑ ➁ ✓ → ❢❱⑤▼❼✢✉ ✑ ➁ ➀ ✓ ✞✝➫⑤⑥❸❪❡❣♠♦❦❁❢❱❡❣❼ ✑ ➠ ➀ ✓ ❡rt✦➄③❡▼♥q❞③⑧①⑤✗❞✢♣ ✉✽➛➂♥q❞✢t✳♠✫❡▼❦ ✁ ➵✦❦✳⑧⑨⑤✗❞✢➇⑥❾ ❡❣t❂♥▼❢ ✑ ➏ ✓ ❞✢t✫④⑩❢❱④✐❦⑦❡❣②✮t✬♣③♥q♠✤❡❣➎✮❡❣❸❪♣✛❢❱❡❂✉❃❡▼❦✙✈r❢❱✈❣❸❪❡r②❃t➌❦➊✇③②✢④✐❦✤❦⑦④❱❸➓♣✢❢❱❡▼❦✬✉❃❡➅♣③⑤✗❞✛t✫♠✫❡ ✢❡❣②✔❦⑦❞✛♣✢♣③⑤❵❦✫♥▼②❃t ❤❵❞✞➛➝❞✢②➩➍ ☛❣t✳❡❣❸❪❡❣②✮t✦❡▼❦❁t✾⑧⑨⑤✗②❹❦⑦t✫④⑩t✫❞✢✈❴✉✽➛➐❞✢② ♥✗❦✳❦⑦❡❣❸✾➄✢❢s♥▼➇✗❡➒✇❹②✢④❂✉❃❡✔♣③⑤✗❞✢t✳♠✫❡▼❦ ✁✙➡ ⑤⑥❞✢♠✾❦⑦④⑩❸➒❞✛❢❱❡❣♠➅❢❱❡ ✉❃♠➌♥q♣③✈ ③④❱❢❏❦⑦❞ ✆❪t➅✉✮❡✵✉✮✈❣♣✢❢s♥⑥⑧⑨❡❣♠★⑧ ❾❹♥✗❤❵❞✢❡➅✈❣❢❱✈❣❸➓❡❣②❃t➽✉✽➛➐❞✢②✢❡➣♣✩⑤ ❦⑦④⑩t✫④❱⑤⑥②✏④⑩②✢④❱t✳④s♥q❢⑩❡➣➞ ❞✢②✛❡✵♣③⑤❵❦❁④❱t✫④⑩⑤✗② ✇③②③♥▼❢❱❡ ✁ ➺✵➛➂♥q❞✢t✳♠✫❡▼❦✬♥▼❞✢t✫❡❣❞✛♠♦❦✿❞✛t✫④❱❢⑩④s❦❁❡❣②❃t❉❞✢②✢❡❂❸❪✈❣t✫❾✛⑤✮✉❃❡❂➞ ♣③♥▼♠✫t✳④❱♠➽✉❃❡❂♣③♥q♠✳t✫④s⑧①❞✢❢❱❡▼❦✶♣✢❾✮❼✛❦⑦④s❤❵❞✢❡▼❦❏❡❣② ④❱②✮t✫❡r♠♦♥✗⑧①t✫④❱⑤⑥②✹➑➟⑧♦➋ ✁ ✑✑ ✓ ✑ ➠✗➢✏✓ ➔ ✁ ✟ ②❃t✳♠✫⑤✮✉❃❞✢④✐❦⑦⑤⑥②③❦❲❸✔♥▼④❱②✮t✫❡❣②③♥▼②❃t ❤❥❞✛❡❣❢s❤❵❞✢❡▼❦✽②✢⑤⑥t♦♥▼t✫④❱⑤⑥②③❦✬❤❥❞✛④✮❦⑦❡❣♠✳⑤✗②✮t❲♠✳✈❣➇✗❞✢❢⑩④❱❿❣♠✳❡❣❸❪❡❣②✮t③❞✢t✫④⑩❢❱④✐❦⑦✈❣❡▼❦ ✁ → ♥ t✳♠♦♥▼②③❦⑦♣③⑤❵❦❁✈❣❡✾✉✽➛➐❞✢②✢❡✦❸✔♥▼t✫♠✳④s⑧⑨❡✡✠ ❡▼❦❁t✤②✢⑤✗t✳✈❣❡☛✠✌☞ ✁ → ❡▼❦➒④⑩②③✉❃④s⑧①❡▼❦✵➇✗♠✳❡▼⑧❣❦✎✍☎✑✏☎ ✁✁✁ ♣✛♠✫❡❣②✢②✛❡❣②❃t❙❢⑩❡❣❞✢♠➌❦ ➍⑥♥q❢⑩❡❣❞✢♠➌❦❪✉✢♥q②❹❦✓✒✕✔✩✔✖✧✗✖ ❡❣t➒❢⑩❡▼❦❙④❱②③✉❃④✐⑧⑨❡▼❦ ♠✫⑤⑥❸✔♥q④⑩②③❦✙✘ ✗✚ ✞✛ ✁✁✁ ✉✢♥q②③❦✤❢➟➛➐❡❣②③❦❁❡❣❸➒➄✛❢❱❡✜✒✕✔✩✔ ✧ ✔✣✢✗✖ ✁ ✂ ⑤✗❞❹❦✦♥✗✉❃⑤⑥♣✢t✫⑤⑥②③❦ ✞❢⑩⑤✗♠♦❦✳❤❥❞✛❡❙⑧⑨❡❣❢✐♥ ②✛❡✵♣✢♠ ☛❣t✫❡➣♣③♥✗❦➅➞❪⑧⑨⑤⑥②❃➋❖❞③❦❁④❱⑤✗② ✩❢✐♥❪⑧⑨⑤✗②✮➍❵❡❣②✮t✫④⑩⑤✗②❴✉❃❡❙❦❁⑤✗❸➒❶ ❸✔♥▼t✫④❱⑤⑥②✔❦⑦❞✛♠❽❢⑩❡▼❦✙④❱②③✉✮④s⑧⑨❡▼❦✬♠✫✈❣♣③✈❣t✳✈▼❦ ✁ → ❡❙❦❁④❱➇✗②✛❡✣✤✗✥✠✦✤➣❦⑦④❱➇⑥②✢④➳✇❹❡✣✤⑦♣❹♥q♠❂✉❃✈⑨✇❹②✢④❱t✳④❱⑤✗②✔✈❣➇ ♥q❢❏➞✧✤ ✁ → ❡✵♣✢♠✳⑤✮✉❃❞✢④⑩t❂✉❃❡➅t✫❡❣②③❦❁❡❣❞✢♠➌❦ ✢②✢⑤⑥t✫✈☛✠★✥✪✩ ✢❡▼❦⑦t❂✉✮✈⑨✇③②✢④✞♣③♥▼♠✫☎✞✠✬✥✭✩ ✠✯✮✱✰✳✲✴✠✌☞✵✩✷✶ ✠✸✠✺✹✼✻✧✩✞✹✼✻ ✁ ✽✳✾✹ ✉❃✈▼❦⑦④⑩➇✗②✢❡★❢s♥✵✉✮✈❣♠✫④⑩➍❵✈❣❡❽♣❹♥q♠✫t✳④❱❡❣❢⑩❢❱❡❂✉✽➛➐❞✢②✢❡❽➋❖⑤⑥②③⑧⑨t✳④❱⑤✗② ✽ ♣③♥q♠➽♠♦♥q♣✛♣✩⑤⑥♠✫t★➞ ❢✐♥✵➍✗♥▼♠✫④✐♥q➄✢❢⑩❡✜✿ ✹ ❡rt ✽✳✾ ✹❀✻ ❦✫♥✾✉❃✈❣♠✳④❱➍❵✈❣❡❂♣③♥▼♠✫t✫④⑩❡❣❢❱❢⑩❡➅❦⑦❡❧⑧⑨⑤✗②③✉✮❡ ♣❹♥q♠❂♠♦♥q♣✛♣✩⑤⑥♠✫t★♥q❞✢➎✔➍⑥♥q♠✳④s♥▼➄✢❢❱❡▼❦❁✿ ✹ ❡❣t❂✿ ✻ ✁ → ❡✾❦⑦❼✮❸➒➄③⑤⑥❢❱❡❄❃✧❅ ✽❇❆ ✿➫✉❃✈❧❦⑦④❱➇⑥②✢❡ ❦⑦❡❣❢⑩⑤✗②❴❢❱❡▼❦❂⑧❣♥✗❦ ✽❢➟➛➐④❱②✮t✫✈❣➇⑥♠♦♥▼❢❱❡➅✉✽➛➐❞✢②✢❡➅➋❖⑤✗②③⑧⑨t✳④❱⑤⑥② ✽ ❦⑦❞✢♠★❞✢② ✉❃⑤⑥❸✔♥q④⑩②✢❡✦➄③⑤✗♠✳②✢✈❉❈ ✉❃❡ ✙ ✛✬⑤⑥❞✹✉❃❡ ✙✦✥ ✁ ✂

(12)

✂✁ ✾✄ ✲ ☛✆☎✖✙✞✝ ✶✎✠ ✟ ✠☛✡✌☞ ✠ ✲ ☞✎✍ ✔✑✏✒✏✓✏✔ ☞ ✝ ✶✕✔ ☞ ✻✕✖✘✗ ✄ ✲ ☛ ✶ ✚✙✜✛✢✣✛ ☞ ✻ ✙ ✿ ✢ ✖✤✗ ✄ ✲ ☛ ✶ ✥ ✔✍✦✔★✧✂✩✫✔ ✥ ✚✤✠ ✔✣✔✑✏✓✏✒✏✔✫✪ ✬☛✭ ✮ ✔ ⑤✩✢ ☛ ❡❧❦⑦t✤❞✢②❴⑤✗❞✢➍❵❡❣♠✳t✤✉❃❡ ✙✰✯ ✱✩ ❡❣t✚✲❴✉❃✈▼❦❁④❱➇⑥②✢❡❣②✮t❂✉❃❡▼❦✙❡❣②✮t✫④⑩❡❣♠♦❦✬♣✩⑤ ❦⑦④⑩t✫④➳➋➜❦ ✙✳✛✢✣✛ ☞ ✙ ✿ ✢ ✠ ✙✜✛✢✣✛ ☞ ✙ ✿ ✢✵✴ ✍ ✙ ✿ ✢✷✶ ✥ ✏✓✏✒✏ ✙ ✿ ✢✫✸ ✯ ✔ ❡❣t✹✔✍✺✔ ✠ ✍ ✍✼✻ ✏✓✏✒✏ ✻ ✍ ✯ ✉❃✈❧❦⑦④❱➇⑥②✢❡❪❢✐♥✏❢❱⑤✗②✛➇✗❞✢❡❣❞✛♠❙✉❃❞➩❸✾❞✢❢❱t✳④➳❶➜④❱②③✉❃④✐⑧⑨❡❄✍ ✠ ✲ ✍ ✍ ✔✑✏✓✏✒✏✔✣✍ ✯ ✶ ✁✿→ ♥ ②✢⑤⑥♠✫❸❪❡❙➑❖♠✫❡▼❦❁♣ ✁ ❦⑦❡r❸❪④➳❶➜②✢⑤✗♠✳❸❪❡✗➔❏✉✮❡ ❢➜➛➝❡▼❦❁♣③♥✗⑧①❡ ✁ ✾ ✥ ✲ ☛✆☎✖✙ ✝ ✶✎✠☛✥✾✽ ✁ ✲ ☛✆☎✖✙ ✝ ✶✙❡❧❦⑦t✤②✢⑤⑥t✫✈❣❡ ☎ ✿❀☞❁✿ ✁ ✥✠❃❂❄❆❅★❇❉❈ ✛✢✣✛❊ ✁✤❋ ❋ ❋ ❋ ✙✜✛✢●✛ ☞ ✙ ✿ ✢ ❋ ❋ ❋ ❋ ✥ ❆ ✿■❍❏ ✍▲❑ ✥◆▼ ➑❖♠✫❡▼❦❁♣ ✁ ✔ ☞ ✔ ✁ ✠ ❂❄❁❅✾❇❉❈ ✛✢●✛❖ ✁✤❋ ❋ ❋ ❋ ✙✜✛✢✣✛ ☞ ✻ ✙ ✿ ✢ ❋ ❋ ❋ ❋ ✥ ❆ ✿■❍❏ ✍P❑ ✥ ➔◗✏ ➃ ②❃✇③②✒✞⑤✗② ②✢⑤⑥t✫❡❙❘✆❚ ✲ ☛✆☎✖✙ ✝ ✶❂❢➜➛➝❡❣②③❦❁❡❣❸✾➄✢❢❷❡✵✉✮❡▼❦➆➋❖⑤✗②❹⑧⑨t✫④⑩⑤✗②③❦➅⑧⑨⑤⑥②❃t✳④❱②✮❞✢❡▼❦✦❦❁❞✢♠ ☛ ➞❪➍⑥♥q❢⑩❡❣❞✢♠➌❦ ✉✢♥▼②③❦ ✙ ✝ ✁

(13)
(14)

✄ ☎❲✁➦✂ ✆ ✒❴✁ ✌✏✎✡✆ ✄ ✟✠✝ ☞ ✆ ✟✠✑☛☎✞✝☛✡ ✝➩✌ ☎➊✝ ✞✠✒

(15)

Figure

Fig 0 :              CONFIGURATION  DE  REFERENCE   ET   CONFIGURATION  DEFORMEEe1e3e22 ✂☎✄✝✆ ✞ ✁ ✠✏➻✬⑤⑥②❃✇③➇⑥❞✢♠♦♥▼t✫④❱⑤⑥② ✉❃❡➅♠✫✈⑨➋❖✈r♠✫❡❣②③⑧①❡❽❡❣t❂⑧①⑤✗②❃✇③➇⑥❞✢♠♦♥▼t✫④⑩⑤✗②✹✉✮✈⑨➋❖⑤✗♠✳❸❪✈❣❡ ✁ ☎✝✆✢✜ ✣✥✤❄✗✚✬ ✜✧✦✩★✓✒✵☛✓✒ ✱ ✩✮✧☞✤✍✴ ✕ ✜✫✩✛✎✯✠☞☛✓✒ ➡ ❞✢④s❦✳❤❥❞✢❡❙
Fig 1 : Configurations initiale et déformée en modèle bidimensinnel
Fig1 : ETIREMENT  EN  CISAILLEMENT  DE  MEMBRANE
Fig5 : Configuration de référence du problème d’obstacle tridimensionnel.
+3

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