? t?? ??s s?r? ??t ????t???? P??s ?é?ér??????t? ?? ??s tr??t? ???? ??s????? ?? ?r???è??s ???q???s ?? ?ss???? ??s s???t???s? ?? r??rés??t? ?? ??s????? ??s ? U ? ???st?à???r? ????s????? ?? ??????s (??, s??) ? ??s? ?? ???t s????s?r q?? ??s ???t êtr? ??s s??s ?? ??r?? ??s = ,
??? ??s s???t???s ???st ??s t?????rs ??rt????t?? ???? s????s? q?? ?? ?r???è?? tr??té s??t ?ét?r???é ???r t??t ??s s??r??? ???s ??rt???s ????? ,
?tr??r? à ?r?s?r?r?? ??s ré????s à r?s???t?r? ?t?? ?? ré???s? à ??? r?q?êt? ???s?st? à ?é?r?r? ??? r???tt? s?t?s???s??t ??s ???tr???t?s? ??s r?q?êt?s s??t ???? ?? q???q?? s?rt? ??s r???tt?s ??? ????t??s ?t ????s s??t ???r??é?s ???s ?? ?ê?? ??r????s??? ?? ???s? ??? r???tt? ???t ré????r? à ???s???rs r?q?êt?s ?t ?? ? ,
??s r??rés??t?t???s ?ttr???ts??????rs s?????s? ??s r??rés??t?t???s t??? ? ????t ? ?t ??s r??rés??t?t???s ????q??s? ?? ?ét????? ???s ??tt? s??t??? ??s t???s ?? r??rés??t?t???? ??tt? ??st? ???st ??s ?????st???? ??r ??????? ?? ?àP? t??t??? ?t??t??? ??s????s?? r??s?????? ?????r ?t ???? ????? ??????t? ??s ??s r??rés??tés t??t????????t? ??r????s?? ?ttr???ts??????rs s?????s? ??s ??r????s??s ?ttr???ts??????rs s?????s? ?rés??tés ?? s??t??? ?????? ??r??tt??t ?? r??rés??t?r ??? s?t??t??? ?? ??ét?t ???? s?stè?? ??r ??s ?????rs ???? ??s????? ?? ??r??ètr?s ???s ?ttr???ts?? ??s ?r???è??s ?t ???rs s???t???s s??t ?é?r?ts ??r ??s n?????ts ?? ?????rs? rés???r? ?? ??s ???s?st? à tr????r ??s ?????rs ???q??? ,
?tr? ???ss?s ??r??tt??t ????tr????r? ???s???rs ??????? ?? ?é?ér???s?t??? ???s ?? ??s? ?? ??s? ??s ??P ?rés??tés ???s ????s???? ?t ??????? ????? ?t ??s ?r???s ???t ????????r? ????? ???t ???t??? s??t ?r????s ??s ??r????s??s ????ts? ??r????s??s ????q??s? ???s ??s ??r????s??s ????q??s? ??s ??s ?t ??s ??????ss????s ?? ??? ????? s??t r??rés??té?s ??r ??s ??s?s ?? ??????ss????s ???r??é?s ???s ?? ??????? L ???t ??s ??t?r?rét?t???s s??t ??s é?é???ts ?? U ? ??s ?r???è??s s??t ?é?r?ts ???s ?? ??????? L ?? ? L? ??s s???t???s s??t ?é?r?t?s ???s ? ,
?r???è??s ??s s???t???s? ??s ???????s ?? r??rés??t?t??? ??s ?r???è??s ?t ??s s???t???s s??t ????t?q??s? ???st?à???r? q?? L ?? = L s?? ? ??s ?r???è??s rés???s ??r ?? ??s s??r?? s??t ??? ,
r???s?r ?? ??s s??r?? q?? ???s ??t??s ???r?? = P? s × ??? s ???? P? s ? U ?? ?t ??? s ? U s?, P? ? ) ?? ??? ? t???? q?? ?? ? (P? ? × ??? ? ) ,
?t été ?é????s ???s ?? ??ttér?t?r? ?t s? r?tr?????t ré????èr????t ???s ??s s?stè??s ?? ?àP?? ????t?t??? ??r ?é?ér???s?t????s?é?????s?t???? P??r ??tt? ????t?t???? ?? s????s? q?? ??s ??s s??t ?r????sés ?? ??ér?r???? s?????t ??s r???t???s ?? ?é?ér???s?t??? s?é?????s?t? ,
?? s s??t r???és ??r r ?t q?? s?? s ?st ??? s???t??? ?? ?r???è?? ?? s ? ???rs A r (?? s , s?? s , ?? ? ) rés??t ?r?????????t ?? ? ? ??s rè???s ?? r???r? ,
y n ) ? R n ?r???? ?? x f j (y) ? f j (x) + i ?f j ?x i (x)(y i ? x i ) ,
?? f s???? s? i è?? ??r?????? ???q?? ??s s??r?? (?? s , s??(?? s ))??s ét????ss??t ??s ??r? ré??t???s ??tr? ??s ??r??t???s ???? ?r???è?? ??t??r ?? ?? s ?t ??s ??r??t???s ?? s? s???t??? ??t??r ?? s??(?? s )?s??t? i ??s ?r???è??s ?t ?? ?????s??t? j ??s s???t???s ?ss???é? ?? ??s s??r?? (?? s , s??(?? s )) ??rr?s???? ???r s?? ??? ?ér??é?s ??rt?????s ?f j ?x i (x) ,
t r???rq??r q?? ???s ??s s?t??t???s ????t????????t tr??té?s ??r ?? ré??s???? ??s ??????ss????s ré??sé?s s??t ????s ?ré??s?s q?? ??s ??????ss????s ??r ??sq?????s ????s s??t ré??sé?s ?t???q?????t ?? s??t ??s ???ts q?? ?r ,
q?? ??s s???t???s ?r???sé?s ??r ???r?? s??t ??????????s à ?????? ???r?? ?st ???rs s?rsq?? ?? ??s s??r?? ?st ????t???? ???st?à???r? q?? ??????r?? = sr?? ,
? s? s?? 1 ?t s?? 2 s??t ??s s???t??? ?ss???é?s s?? 2 ) ? ???r?? ?? ???t ??s êtr? ????ré ??r?? q???? ??tr? ?????? (??, s?? 1 ) ? ???r?? ?st ???s ?r???? ?? ?????? ?? ???t ?? ???st ??s ??r??t? q?? s?? 1 s??t ??? s???t??? ?? ??? ??s ????t?t???s ??s ???ér??ts é?é, r?t?q??? ??s ??s s??r??s s??t s?????t ????t???s? ???st?à???r? q?? ???r?? = {(??, sr??)}? ?t ??????t?t??? ??r ?? ??s? à ???r ???? t?? ??s s??r?? ????? ?? ?ê?? ,
?s ???s ?? s??t? q?? ??tt? ??r??t??? ?st ?ér??é? ???r ???? ???r????s ??????t?? t? ,
?s? ??? q?? ??s ??s s??t ????t???s ?t q?? ???? ??st????? ?? ??s?r??t??? ??s ?r???è??s ?? ????? ??s s???t???s ? ???r?? = {(?? s , s?? s )} ,
) ??t ??s????? ?? s???t???s? ?? ?? s?stè?? ??? ??s ?? ??????ss????s ??????s ???r ????s?r ??? ??st???? ?? s???t??? ?? ????? ???? ???? ????tr?s ???r????s ?? ????????s?? ?? ??s ?? ?àP? ???s ?rés??t??s ??? q???q??s ???r????s ?? ????????s?? ?t???sé?s ???s ??s s?stè??s ?? ?àP? q?? ???s ?????r??s ??s??t? s?????t ???ér??ts ?r?tèr?s à ,
?? à ??s ??s s??r??s ???s ?ré??s ???r rés???r? ??s s??s?tâ???s? ?? ???ér???? ?? ?r??r???? ?????? ?st ?ss?ré? ??r ?? ??s ??str??t q?? ?é?r?t ??s ??t?r??t???s ??tr? ??s ???ér??t?s ??r ??s ?é?????s ?? ???ér??t?s s?é?????tés ????r?r????? ??????t?ér????t?? r????t?ér????t?? ?t???? ???q?? ?é????? s??????? s?r ??s tr??t????ts ?é?à ?????q?és à ????tr?s ??t???ts ???s ??s ?é??????? ?t ??s ??????ss????s ?r??r?s à s? s?é?????té ,
? ?st ét????? s?????t ??s ???ér??ts ????ts ?? ???? ??? s???t??? ??rt????? ?st ??????é? ???s ???q?? ????t ?? ??? ??r ?? ?r???ss?s ?? ?àP? ??st???t? ?t ?? s???t??? ?st ??????? ??s ??s s???t???s ??rt?????s? ???s ?é?à ??? ??s ??s s? ?é??rs???t??? ??tér?ss??t? s?r??t ?? ???r s? ??rt????s ??r??s ?? ?é?????s?t??? ??????t êtr? ??t????s ??r ?? ??s??? ?? str??t?r??t ???s???? ??s ??s? ???rs q?? ???P???? ?t ????? ré?t???s??t ??s ??s s??r??s s????t??é ,
é????r? ??s ??ss?r????s? ??s s???t???s ??t????s ???s ??s ??tr?s ????ts ?? ???? ??rsq?? ??s s???t???s ??????s s??t ???ér??t?s? ?? s???t? ???s ???P????? ??s ?????ts s??t rés???s ??? ???s q?? t??s ??s ??s s??r??s ??t été ??????tés? ???s ?????? ??s ??rr??t???s s??t ???t?s ?? ??r ?t à ??s?r? q???? ??????? ??s s??r?? ?st ????té? ???s ?? ????????s?? ??r ??s???? ??s ?????ér????s é???t?????s ??tr? ??s s??t tr??té?s ??r ????ér?t??r ?? ??s???? ???? ??t??? ??ét??? ??s r???t???s ??tr? rés???t??? ?? ?????ts ,
?tr? ??s ??s s??r??s? ?r ?? s?r??t ???s ??tér?ss??t ???s ?? ???r? ?? ?àP? ?? t?r?r ?? ???????r ??rt? ??s ???ér??ts ??s s??r??s? ???s ?????????? ???r ??t???r ??? r???tt? ?? ???ss? ?? ???????t s??s ÷??s? ?? ???r??t s???s??r?r ??s r???tt?s ???r?? 1 ?t ???r?? 2 ???r ??t??, ? ??s ?????rs ?? ????ss?? ??? ???à??? ?? ???????r ?????r? ??????????été? 1 = (?? ? ???r??1) ? (?? ? ?????) ???s ?tér?t??????t ??????????été? i+1 = (?? ? ???r??i) ? (?? ? ??????????été? i )? ,
÷?? ?t s????? ?t ??s r???tt?s ???r?? 1 ?t ???r?? 3 ,
? r???tt? s?é???q?? ???r s?t?s???r? ??s ????????s ?? ???t???s?t??r? ??? ?r???èr? é?????t???? s????t??q??? ??s ??rt??????ts ? ???? ??rs ?? ???t????r ??? ?ù ???q?? éq?? ,
?? ?àP? ?ù ??s r???tt?s s??t ???s ????? ??s ??s s??r??s ?t ?? r?q?êt?? ????? ?? ??s ?????? P??r ré???s?r ?? ?r????r s?stè?? ??????? ,
? ??s r???tt?s? P??r ??tt? ?r???èr? ??rs??? ?? ???????? ??s r???tt?s ?? s??t ??? ???é?s q?? ??r ??s ?r?tèr?s ??t?r?????t ???s ??s r?q?êt?s? ???st?à???r? q?? ???r ?? r??s???????t? ??s r???tt?s s??t ?ss????é?s à ?? ??st? ?? ???rs ???ré????ts ?s??s t???r ????t? ??s q???t?tés?? ?? t??? ?? ???t ?ré??ré ?t à s?? ,
?????rs s??s ?? ??r?? ?? ????s ét?q??tés ??r ??s r???t???s ? s??s???té??r?? ?? ? ?t ? s???r???té??r?? ?? ?? ?? ???r? ??? ?rés??t? ,
????s??t ??s ??r??t???s ??tr? ??s ???ré????ts ?t???sés ??r ??s r???tt?s? ?? ???t ????t???r ??s ??t??s ?réq???ts q?? s???èr??t ??s s??st?t?t???s ?????ré??? ??ts ??rs ?? ??????t?t??? ????tr?s r???tt?s ????r?? ?????? P??s ?ré??sé???t? ??s ??t??s r????r??és s??t ??s tr????ts ?? ??r????s (???t??t?, ???t???, s??st?t?t) ?ù ???t??t? r??rés??t? ??s ????ts ??????s ????ré????ts? t???s? ?r?????? ??tr? ???? r???tt?s? ???t??? r??rés??t? ??s ???ré????ts ?rés??ts ???s ?? ?r???èr? r???tt? q?? s??t s??st?t?és ??r ??s ???ré????ts s??st?t?t ???s ?? ????? ?è, ?? ?? ??r??t??? ??tr? ??? r???tt? ????tt? 1 ?t ??? r???tt? ????tt? 2 ?ér??? ?? t?? ??t?? s? ? ????tt? 1 |= O ???t??t? ????tt? 1 |= O ???t??? ????tt? 1 ?s??st?t?t |= O ? ????tt? 2 |= O ???t??t? ????tt? ,
??tr?t????????s ?? ???q?? ??té??r?? ?????ré????t? ??s q???t?tés ?? ???q?? ???ré????t ?t???sé ???s ??? r???tt?? ???s? q?? ??s ???tés ???s ??sq?????s s??t ???r??é?s ??s q?? ,
s??r??? s??s t???r ????t? ??s s??st?t?t???s ?????ré????ts? ,
?? ??rt????s ????t?t???s t??t?????s s??t ???s s????st?q?é?s? ,
?t? ???rs ?????rs ??tr?t????????s? ?? ??st? ?? ??s ?r?????rs ??tr?t????????s ?st ????é? ???s ??s ????s ?????ré????ts ????r ???r? ????? ?? ?ttr???t ?st ??tr????t ???r ???q?? ?r?????r ??tr?t????????? ??s ?r?????rs q??s ?????????? ??s ?ttr???ts r??r???r??t ??s ??t?t???s ??s ??r?????s ?r ,
?t ?é?ér?? ?st é???? à ?? s???? ??s q???t?tés ??s ???ré????ts ??rt??????rs q?????? ?t???s?? ???s?? s? ?? t??? ???ré????t ?????? r??r???? ??s t???s s?é???q??s ?????ré????ts ???1 ,
?s r???tt?s ????t??t ?? ??t?t ?r???è?? s????é???t??r?? ??s q???t?tés ?? ???? t???s ?????ré????ts ???1 ?t ???2 s??t s?é???é?s ???rs q?? ???1 ?st ???s ?é?ér?? q??, 1248. ,
? s??t ??s ??s ???rs?? ?t ?é????????r???st ??s ??? ???s ??? s??s????ss? ?? ???????s ?rt?????ts s??t ??s ?é????s ???r?? ??? ,
s ??rt? s?r ??? ???? ???tr???t???s ??ss????s à ??s ??rs???s ??t?r?s ?? ??????? ?? s??st?t?t??? ?????ré????ts ???r ???ss?r ????tr?s ?r?tèr?s ??s?r s?r ?? ?????? ??s q???t?tés? ??? ??st? s?r??t ?? ???é??s?r ??tt? s??st?t?t??? ,
ts? ???rs ?????rs ??tr?t????????s ?t ??s q???t?tés ?????ré????ts ???s ???q?? r???tt?? P??r ??t???r ??s ????? t?t???s ?? r???tt?s ???s s?t?s???s??t?s? ????tr?s ?r?tèr?s s??t à ?r? ,
?s ??s ???s ?t??? ?sés ?? ?àP? s??t ??s ??r????s??s ?ttr???ts??????rs s?????s ?? ??s ??r????s??s ???s str??t?rés ????? ??s ??r????s??s ????t ?? ??s ??r????s??s ????q??s? ???s ?? ??t ???????q??r ??????t?t??? ??r ré??s??? ???s ??s ??r????s??s? ???s ????s ét????? ?? s??t??? ???? ??s tr????? s?r ?? ré??s??? ???s ?? ??r????s?? ????q?? ???s ??r?? q?? ?? ????q?? ?r???s?t???????? ?t q?? ????r? ??t?????t ??s ??r????s??s ?ttr???ts??????rs s?????s? ???s ????s ??s??t? ?r?? s?r ??s ??r????s??s ?ttr???ts??????rs s?????s? ??? ????????s?? ?? ??s ??r ??s??? ???tr???t?? ???s ???s s????s ??ss? ??tér?ssés à ??? ?é?ér???s?t??? ?? ??????t?t???? ?? ????????s?? ?? ??s? q?? ré?t???s? ???s???rs ??s s??r??s ???r rés???r? ?? ??s ?????? ???s ?r???s??s ?? s??t? ,
?ttr??t ?? t?st?r ??s tr????? s?r ??s ?r???è??s ????r?ts? P?rs???t???s ???s ?? ?é???r? ???s ????s é????é ???s???rs ??rs???t???s q?? ???s ????s é??q?é ???s ??s ???ér??t?s ??rt??s ,