Polymathematics: Is mathematics a single science or a set of arts?
Texte intégral
(2)
(3)
(4)
(5) !" #$ % '&( '#) %* -+ , ./,%0132547698 :<;=?>A@ B/CEDGF/;HI=?JKF/;LNM?OQPSRTOU;L ;VW;=YXTDZB<OMB/[ \]^
(6) ]DG_a`b]
(7) XIc
(8) RIL CY=?deOfL ;I='g h%FidLNOUjS`bFiVIkIHIL RI=mln qo psrut?p7vewyx{z?r|?}A~r3txU}i}Tr?rf!// vA w5ry ry9st
(9) a}A7m}Wxqz?rAt/|?} ryr<7vI|3r3tw/}AQ)r}A~ r/x3G9x9psrm|?vITry~99z?r|?}A~rQp7vWx'vA rvIA vArx9psrKvTzyS|Z|yp7vA9?tvWx'x9psr ry?t3xUr3t/ viWvA))rxU}Z ¡ ¢ry~z?ryyx9b£s¤i¥T£ ¦ §¢§)¨G©Aª«s¬i¨G©Aª¢®/¯Q¢¯°±7¢°s¬i°¢²Tª³ª«s´¬/¬aµ©A´ª¯/¶®y´·)µª³W¸W´?©Aµ«T·º¹9µ©W¢°»9³W´¼)·½b¾e¦E¿<ÀKÁm ©W²°uª«s¬º§¢ÃW¬<Ä?¿«T·7°s´³7°s·7²©W¨G¢®/¯G¹¯Åsµµ5³W´ª¬i°u¼)·¨G©W²)Ås»©W®yªÅs´¬/´?¯E³W» ©Aª³I¨G¢®¯Ås¼¨G©A´?¢²s¬i¯3Ä ©W²°Æ®y¬i§¬i¯ª¢©W§%¨Z¬i®?«©W²¢®/¯E¹Ç²©W²®y¬i°-¼)·º¨G¢§¢ª©A´·G©W²°-¼)·º³Wª«s¬/´ ¢²¯ªªÅsª³I²¯b°s¬i©W§¢¢²s¸Èª« ¨G¢¯¯¢§¬i¯/¿7¯Å®?«{©W¯É¦KÊ7¦EË Ä?Ë ½b´·)µª³W¸W´?©Aµ«T·«©W¯Q¸W¬i²s¬/´?©Aª¬i°²)ŨE¼5¬/´Qª«s¬/³W´·W¿)©W§¸W¬/¼´?©W¢®b¸W¬/³I¨Z¬/ª´·³Y±W¬/´
(10) Dzª¬aǬi§¢°¯/¿ ©W§¸W¬/¼´?©-Ì/¿®y³I¨E¼¢²©Aª³W´?¢®/¯ ©W²°{®y³I¨ZµÅsª¬/´?¯/Ë Í ·7°s´³7°s·7²©W¨G¢®/¯Zµ´³7®y´¬i©Aª¬i°®y³I¨Zµ§¬yÎÏ©W²©W§·7¯¢¯/¿'µ©A´ª¢©W§ °s¬/´?±A©Aª±W¬¬iÐ)Å©Aª³I²¯/¿ Ѭ ¸W´³IÅsµ¯ ©W²°{©W§¸W¬/¼´?©ª«s¬/³W´·W¿®y³I«s³I¨Z³I§³W¸W·Æª«s¬/³W´·Æ©W²°Æ¯®/¬i²TªNÇ®K®y³I¨ZµÅsª¢²s¸sË ½b¬i§¬i¯ª¢©W§¨Z¬i®?«©W²¢®/¯¢¯ ª«s¬³W´?¸I¢²Æ³W»
(11) °s·7²©W¨G¢®/©W§q¯·7¯ª¬i¨G¯/¿§¢¢²s¬i©A´©W§¸W¬/¼´?©7¿ª³Wµ5³I§³W¸W·W¿ ±A©A´?¢©Aª³I²©W§q®/©W§¢®/ŧ¢Å¯'©W²°{¯·7¨Zµ§¬i®yª¢®m¸W¬/³I¨Z¬/ª´·WË Ò «s¬¬yÎs¢¯ª¬i²®y¬³W»a¨E·7¯ª¬/´?³Iů´¬i§¢©Aª³I²¯¼5¬/ªfÈb¬/¬i²©W§¢§ª«s¬i¯¬Z°NÓ5¬/´¬i²Tªm°s³I¨G©W¢²¯¢¯ª«s¬ ¨Z³I¯ªQ¯ª´?Ã7¢²s¸©W²°°s¬i§¢¸I«Tª»Å§W»9¬i©AªÅs´¬'³W»¨G©Aª«s¬i¨G©Aª¢®/¯¹«©i±7¢²s¸m²s³´?©Aª³I²©W§T¬yÎ7µ§¢©W²©Aª³I²Ä?Ë Ò «s¬ ¬yÎ7µ5¬/´?¬i²®y¬ ³W»%ª«s¬ µ©W¯ªb®y¬i²TªÅs´?¬i¯a¯«s³Yȯ
(12) ª«©Aªaª«s¬°s¬/±W¬i§³Wµ¨Z¬i²Tªa³W»q¨G©Aª«s¬i¨G©Aª¢®/¯ È'©W¯ °Ås¬K²s³Wªª³Zª¬i®?«²¢®/©W§%µ´³W¸W´¬i¯¯¹®y³I²¯Å¨G¢²s¸Z¨Z³I¯ª³W»ª«s¬m¬yÓ5³W´ª¯ ³W»¨G©Aª«s¬i¨G©Aª¢®/¢©W²¯ ©Aª
(13) ©W²T·E¸I±W¬i²G¨Z³I¨Z¬i²Tª3Ä?¿I¼Åsª´?©Aª«s¬/´ª³°¢¯®y³Y±W¬/´?¬i¯Q³W»Å²s¬yÎ7µ5¬i®yª¬i°Z¢²Tª¬/´´¬i§¢©Aª³I²¯¼5¬/ªfÈb¬/¬i² °NÓ5¬/´¬i²Tª °s³I¨G©W¢²¯¹9È«¢®?«ÆÈb¬/´¬E¨G©W°s¬Kµ5³I¯¯¼§¬¼)·ºª«s¬i¯¬¬yÓ5³W´ª¯3Ä?Ë ÔeÕsÖ×SØUÙ Ö?Ú Ú Û'ÜSÝ<Þ<ÞWß?×SØUàá'â/Û
(14) ØUã<à%äÝ<ÜSÜSÙ Ö?å æ5Ö?ÜSÙ çäàeÜSàÖ×Uçfã è<ß3Ý<åAá<ÖØUÙ ß3åTé/ÞY×UßêàeçØ5ë3ëì9íiîì9íiî3îí3ëiéAÖ?åAábâ/Û
(15) ØUã<à ï å<ÜØUófÙ ô ØUÝYØqðå<Ù ñyà×UÜSÙ ØfÖ?Ù ×Uà
(16) áYà
(17) èY×fÖ?å<çeà3ò ý ô ã<ã<ààQçÖ?×UÝYàØUÖã<ØUß?ß?×q×ØUß?ãAûsÖ?þå<õißiÜ áYàï ×UòWåmömÖ?Ö?Ú ÷eü3àeàeÚ âYÚ Ö×fÖiÖ?éAåAÿámÙ àøYØUò à3ìùaé òWÖ?öÜqß3ØUÝ<ã<ÜSàQÜUÖçú<×SÛY×ÞYûNØUß?ß3×qü?ØU×fã<Ö?àÞ<ã<Ø9ÛYà×Þ<Ù ß?å<û übã<Ù àeå<Ú üÞTò àeåY×SÛ ï ÿß?ûèY×fÖ?å<çeà3ò . . . . .
(18) Ò «s¬µ´¬i®/³Iůºª¬i®?«²¢®/©W§K´¬/µ5³W´ª¯-³W»ª«s¬µ´¬i¯¬i²Tª{¯ª©Aª¬u³W»°NÓ5¬/´¬i²TªÆ¨G©Aª«s¬i¨G©Aª¢®/©W§ °s³I¨G©W¢²¯'´¬i¨G¢²°¯bů'³W»ª«s¬Kª´¬i²®?«ÆÈ'©A´»©A´¬WË Ò «s¬K°s¬i¯®y´?µª³I²º³W»ª«s¬m»9´³I²Tª §¢¢²s¬Èª«Æª¯ ¼5¬i²°¯©W²°-¬/±W¬/´·7°©i·Æ¨Z³Y±W¬i¯¢¯'³W»Q®y³IÅs´?¯¬«¸I«§·¢¨Zµ5³W´ª©W²Tª'»9³W´ ª«s¬¼©Aªª§¬Kµ©A´ª¢®/µ©W²Tª¯/Ë Â'Åsª ª«s¬Kµ5¬/´?²¢®/³Iů'®?«©A´?©W®yª¬/´³W»ª«s¬E¯¬/µ©A´?©Aª¢²s¸Zª¬i²°s¬i²®/¬i¯¹9ª³È«¢®?«-ª«s¬K¸W´³YÈ¢²s¸ ¯µ5¬i®/¢©W§¢¢¯©Aª³I² ³W»¨G©Aª«s¬i¨G©Aª¢®/¢©W²¯E©W²°ª«s¬G»9´?©A¸I¨Z¬i²Tª©Aª³I²(³W»¨G©Aª«s¬i¨G©Aª¢®/¯¢²Tª³¯¨G©W§¢§ °s³I¨G©W¢²¯E§¬i©W°¯3ļ5¬i®y³I¨Z¬i¯E¬/±7¢°s¬i²TªÈ«s¬i²u³I²s¬Gª´?¬i¯ª³ Ų°s¬/´?¯ª©W²° ª«s¬º°s¬/±W¬i§³Wµ¨Z¬i²TªE³W» ¨G©Aª«s¬i¨G©Aª¢®/¯¢²-ª«s¬µ©W¯ªÈª«Æ©W§¢§qª¯¨Z¬i©W²°s¬/´?¯/Ë Ê)·7§±W¬i¯ª¬/´<¹ Ä©W§´¬i©W°s·°s¬i¯®y´?¼5¬i°©W¯©W²G©W¯ª³I²¢¯«¢²s¸m¢²Tª¬i§¢§¬i®yªÅ©W§)µ«s¬i²s³I¨Z¬i²s³I²%¿Wª«s¬ »©W®yªKª«©Aª )ry5ryvAQtyxUvWxfry~ryx9tvArZt39~¢ryZx9p7vA x9psry9svAyxS|/7vA|?v<tir3t Ë Ò «s¬©W²Tª¼5³IÅs´ ¼©AÃ7¢¯ª®y³I²®/§¢Å¯³I²Kª«©Aª«s¬b°s´¬/Èu»9´³I¨$ª«¢¯q³W¼¯¬/´±A©Aª³I²E¢¯q¬/±W¬i²¨Z³W´¬a¯ª´?Ã7¢²s¸s˦®/®y³W´?°¢²s¸ ª³ Ê)·7§±W¬i¯ª¬/´i¿ v~GvWx9psry~GvWxS|?vAbSTrv{t?p7}A7}WxKz?rmr/x3 'r9 vEw/}A3~GvA tirv WS}A~GvWxS| tir/xSx9)Abzysxt?p7}A7-z?r|?}Ast3STryrG9styxfrvIv< t }A9)ºv<tKv3 ry Ë
(19) m²s¬¯«s³Iŧ¢°©W§È'©i·7¯b¼5¬ ´¬i©W°s·-ª³®?«©W²s¸W¬ª«s¬E©<Îs³I¨G¯/¿sµ´¬i¯¬/´±7¢²s¸ª«s¬¢²s»9³W´?¨G©W§%¢°s¬i©7Ë ½b³I²¯¢°s¬/´»9³W´K¢²¯ª©W²®y¬Eª«s¬¢°s¬i©³W»a©º²)ŨE¼5¬/´i˾ªm¢¯¢¨Zµ5³I¯¯¼§¬Kª³-°¢¯®y³Y±W¬/´Ð)Å©Aª¬/´ ²³I²¯'ª´·7¢²s¸Zª³G¸W¬i²s¬/´?©W§¢¢¯¬K´¬i©W§S¿s´?©Aª³I²©W§S¿®y³I¨Zµ§¬yÎ-³W´©W§¸W¬/¼´?©W¢®K²)ŨE¼5¬/´'Ǭi§¢°¯/Ë Ò «s¬µ5³I¯¯¼¢§¢ªf·G³W»
(20) ¯Å®?« 9iw/}A3~GvA%)ry5ryvA t/vWxS}A ³W»©W§¢§¨G©Aª«s¬i¨G©Aª¢®/¯/¿»9³W´È«¢®?«{Èb¬ «©i±W¬²s³Z´¬i©W°s·-©<Îs³I¨G¯/¿¯¬/¬i¨G¯ª³¨Z¬ª«s¬¨Z³I¯ª©Aµµ5¬i©W§¢¢²s¸Z°s´¬i©W¨ÆË Ò «s¬ ¢²s»9³W´?¨G©W§®y³I¨Zµ§¬yÎsNÇ®/©Aª³I²%¿Ð)Å©Aª¬/´?²³I² i©Aª³I²%¿ ¯·7¨Zµ§¬i®yª i©Aª³I²%¿®y³I²Tª©W®yª i© ª³I²Æ¬/ª®AË¿°s¬i¯®y´?¼5¬i°-¼5¬i§³YÈ¿©A´¬©W®yª¢²s¸²s³Wª ³I²{¯Å®?«{¯¨G©W§¢§5ª«¢²s¸I¯/¿©W¯ µ5³I¢²Tª¯/¿7»Å²®yª³I²¯/¿ ±A©A´?¬/ª¬i¯/¿®/©Aª¬/¸W³W´?¬i¯³W´»Å²®yª³W´?¯/¿s¼Åsª'³I²{ª«s¬KÈ«s³I§¬K³W»Q¨G©Aª«s¬i¨G©Aª¢®/¯/Ë ¾Q«©i±W¬¯Å®/®y¬i¯¯»Å§¢§·Eů¬i°ª«s¬i¯¬¢°s¬i©W¯¨G©W²T·ª¢¨Z¬i¯©W¯
(21) ©¨Z¬/ª«s³7°ª³¸IÅs¬i¯¯
(22) ²s¬/È ´¬i¯Å§ª¯/Ë ¾a«s³Wµ5¬ª«s¬/´¬/»9³W´¬ª«©Aª'¢²ª«s¬»ÅsªÅs´¬ ª«¢¯b¨Z¬/ª«s³7°³W»qª«s¬m¨Å§ªµ§¢¢®/©Aª³I²Z³W»¨G©Aª«s¬i¨G©Aª¢®/¯ È¢§¢§¼5¬Z©W¯¯ª©W²°©A´?°%¿©W¯¢¯K²s³YÈ ª«s¬Zª´?©W²¯ª³I² »9´³I¨ Dzª¬ f°¢¨Z¬i²¯³I²©W§§¢¢²s¬i©A´K©W§¸W¬/¼´?© ª³Gª«s¬ª«s¬/³W´·-³W»Q¢²Tª¬/¸W´?©W§%¬iÐ)Å©Aª³I²¯ ©W²°Æª³G»Å²®yª³I²©W§%©W²©W§·7¯¢¯/Ë ¬/´?«©Aµ¯/¿'ª«s¬¯¢¨Zµ§¬i¯ª¬yÎs©W¨Zµ§¬{³W»mª«¢¯G¨Å§ªµ§¢¢®/©Aª³I²µ©A´?©W°¸I¨ ¢¯Gµ´³Y±7¢°s¬i° ¼)· ª«s¬EÀ¢§¢§¢¢²s¸ e½b³iÎ7¬/ª¬/´ª«s¬/³W´·-³W»Qª«s¬K´¬ ¬i®yª³I²{¸W´³IÅsµ¯/Ë
(23) Ñ¢²s¬i©A´©W§¸W¬/¼´?©G¢¯'¬i¯¯¬i²Tª¢©W§¢§·ºª«s¬ ª«s¬/³W´·³W»ª«s¬º¯µ5¬i®/¢©W§´³)³Wª¯¯·7¯ª¬i¨G¯ TË Ò «s¬G¼©W¯¢®Z»©W®yª¯³W» §¢¢²s¬i©A´E©W§¸W¬/¼´?©(¹§¢ÃW¬ª«s¬ ¬i¸W¬i²T±A©W§¢Ås¬i¯a©W²°Gª«s¬ W³W´?°©W²Z¼§³7®Ã7¯
(24) ª«s¬/³W´·Ä®/©W²G¼5¬ ´¬/»9³W´?¨Å§¢©Aª¬i°G¢²Zª¬/´?¨G¯
(25) ³W»5ª«s¬´³)³Wª¯/¿ ¨G©AÃ7¢²s¸ª«s¬¯ª©Aª¬i¨Z¬i²Tª¯'¨Z¬i©W²¢²s¸W»Å§7»9³W´a³Wª«s¬/´'¯·7¯ª¬i¨G¯
(26) ³W»5´³)³Wª¯/Ë Ò «s¬i¯¬²s¬/Èϯª©Aª¬i¨Z¬i²Tª¯ ¨G´?©W®/ŧ³Iů§· ³7®/®/Ås´{ª³ ¼5¬®y³W´´¬i®yª¹9È«¢§¬ ¯Åª©A¼§·Ï¨Z³7°NǬi°Ä?Ë Ò «s¬ ª«s¬/³W´?¬i¯Æ³W»ª«s¬ ´³)³Wª¯Z¯·7¯ª¬i¨G¯ I¿ T¿ ¹®y³W´´¬i¯µ5³I²°¢²s¸ª³ ª«s!¬ aÅ®/§¢¢°s¬i©W²(©W²° ¯·7¨Zµ§¬i®yª¢®º¯µ©W®y¬i¯ ¸W¬/³I¨Z¬/ª´·ÄE©A´¬º»9´³I¨ ª«¢¯Eµ5³I¢²Tª³W» ±7¬/È vWx9psryÆx9psrºt3tyxfry?t-x9p7vAÏx9psrÆIvAIAp)xfry?t ³W» ª«s¬ ůũW§5±W¬i®yª³W´¯µ©W®y¬¸W¬/³I¨Z¬/ª´·u¹9¬/±W¬i²{ª«s³IÅs¸I«Æª«s¬/·-©A´¬W¿s³W»Q®y³IÅs´?¯¬W¿ª«s¬K¸W¬/³I¨Z¬/ª´?¬i¯ ³W»ª«s¬ ůũW§5±W¬i®yª³W´m¯µ©W®y¬i¯ ¬i²°s³YÈb¬i°{Ȫ«Æ©W°°ª³I²©W§5¯ª´?Å®yªÅs´¬i¯3Ä?Ë Âb·Zª«s¬ È'©i·W¿7¨G©W²T·³W»5ª«s¬ ´¬i¯Å§ª¯³W»5ª«s¬i¯¬ ª«s¬/³W´?¬i¯a©A´¬¢²Z»©W®yªb©W§¢¯³Kª´?Ås¬²s³Wª
(27) ³I²§·»9³W´ ª«s¬Z¬yÎs®y¬/µª³I²©W§
(28) ®y´·7¯ª©W§¢§³W¸W´?©Aµ«¢®E¸W´³IÅsµ¯G#¹ "%$A&¿ "'Y&¿ "%(A&¿ )&*W ¿ +-,iļÅsªm©W§¢¯³Æ»9³W´ª«s¬Z²s³I.² ®y´·7¯ª©W§¢§³W¸W´?©Aµ«¢/® aÅ®/§¢¢°s¬i©W²Æ´¬ ¬i®yª³I²¸W´³IÅsµ¯#¹ 01,W¹ 2%Ä?4¿ 365<7¿ 3*YÄ?Ë 8s³W´m¬yÎs©W¨Zµ§¬W¿5¯ª©A´ª¢²s¸ »9´³I¨"ª«s¬K¢°s¬i©W¯b³W9»
(29) ËÊ7®?«s¬/´¼©Aù :;;< Ä?¿¦EË ÂËÁm±W¬i²Tª©W§
(30) ¹ :;; Ä'°¢¯®y³Y±W¬/´¬i°Æ¢²ª«s¬mª«s¬/³W´· ³W»mÑ©A¸W´?©W²s¸W¬©W²° Ñq¬/¸W¬i²°s´¬-µ´³ =¬i®yª³I²¯G¢² ¯·7¨Zµ§¬i®yª¢®-©W²° ®y³I²Tª©W®yª¸W¬/³I¨Z¬/ª´· © ¸W¬/³ ¨Z¬/ª´?¢®/©W§µ´³W¼§¬i¨Æ¿È«s³I¯¬¯³I§¢Åsª³I²¯©A´¬Z¢²©-²©AªÅs´?©W§³I²s¬ Uª³ U³I²s¬G®y³W´´¬i¯µ5³I²°s¬i²®y¬Èª« . . >. .
(31) ª«s¬ aÅ®/§¢¢°s¬i©W²u´¬¬i®yª³I²¸W´³IÅsµ¯-¹©W²°²s³Wª =ůªÈª«uª«s¬-®y´·7¯ª©W§¢§³W¸W´?©Aµ«¢®Z³I²s¬i¯©W¯¢² ¨E·µ´¬i®y¬i°¢²s¸Eª«s¬/³W´·Ä?Ë Ò «¢¯b¢¯aª«s¬mµ´³W¼§¬i¨!³W»®/§¢©W¯¯NÇ®/©Aª³I²º³W»qª«s¬K¯¢¨Zµ§¬µ´³=¬i®yª³I²¯ ¹«©i±7¢²s¸Z²s³®y³I²Tª¢²)Ås³Iů¢²T±A©A´?¢©W²Tª¯3ijW»qª«s¬G¹9±7´ªÅ©W§¢§·G¯¢²s¸Iŧ¢©A´yÄQÑ©A¸W´?©W²s¸W¬©W²°-Ñq¬/¸W¬i²°s´¬ ¯Ås¼)±A©A´?¬/ª¬i¯/Ë Ò «s¬'¨G©W¢²©Aµµ§¢¢®/©Aª³I²¯q³W»ª«s¬'¨G©Aª«s¬i¨G©Aª¢®/¯¨Å§ªµ§¢¢®/©Aª³I²¢°s¬i©©A´¬²s³WªQª³m¼5¬a»9³IŲ° ¢²Ç²ª¬G°¢¨Z¬i²¯³I²©W§©W§¸W¬/¼´?©-¼ÅsªK´?©Aª«s¬/´E¢²¢²7Dzª¬ f°¢¨Z¬i²¯³I²©W§®/©W§¢®/ŧ¢Å¯/¿%È«s¬/´¬Zª«s¬ À¢§¢§¢¢²s¸®/§¢©W¯¯NÇ®/©Aª³I²³W»sª«s¬b¯¢¨Zµ§¬
(32) Ѭa©W§¸W¬/¼´?©W¯¢¯q´¬/µ§¢©W®y¬i°¼)·Kª«s¬½'©A´ª©W²®/§¢©W¯¯NÇ®/©Aª³I² ³W»Qª«s¬¯¢¨Zµ§¬KѬmµ¯¬iÅ°s³ U¸W´³IÅsµ¯/Ë 8s³W´ ¬yÎs©W¨Zµ§¬mª«s¬K¯·7¨Zµ§¬i®yª i©Aª³I²-¢°s¬i©¯Ås¸W¸W¬i¯ª¯'ª«©Aª ©W§¢§5°NÓ5¬/´¬i²Tª¢©W§¸W¬/³I¨Z¬/ª´·Æ©W²° ª³Wµ5³I§³W¸W·G²s³Wª³I²¯a©W²°Z´¬i¯Å§ª¯
(33) ¯«s³Iŧ¢°G«©i±W¬¯·7¨Zµ§¬i®yª¢®±W¬/´?¯³I²¯ ª«s¬¯·7¨Zµ§¬i®yª¢®¸W¬/³I¨ ¬/ª´·Æ©W²°Æª«s¬¯·7¨Zµ§¬i®yª¢®mª³Wµ5³I§³W¸W·WË ¾e²{¯³I¨Z¬E®/©W¯¬i¯ ª«s¬i¯¬±W¬/´?¯³I²¯©A´¬EÐ)Ū¬K³W¼)±7³Iů/Ë Ò «s¬K³W´?°¢²©A´·±W¬i®yª³W´Ç¬i§¢°¯'®y³W´´¬ ¯µ5³I²°Kª³ª«s¬ Í ©W¨G¢§ª³I²¢©W²m³I²s¬i¯/¿Aª«s¬i´ ³I¢¯¯³I²E¼´?©W®ÃW¬/ª¯©W§¸W¬/¼´?© ª³ª«s¬ ³I¢¯¯³I²¼´?©W®ÃW¬/ª¯ ³W»
(34) ª«s¬ Í ©W¨G¢§ª³I²{»Å²®yª³I²¯/¿ª«s¬¯ª´?¢²s¸I¯¯«s³Iŧ¢°{¨Z³Y±W¬»9´³I¨ ª«s¬®y³I²7ǸIÅs´?©Aª³I²¯µ©W®y¬Eª³ ª«s¬-µ«©W¯¬º¯µ©W®y¬Æ©W²° ¯³³I²%Ë ¾e²(³Wª«s¬/´G®/©W¯¬i¯ª«¢¯E¸W¬i²s¬/´?©W§¢¢¯©Aª³I²¢¯§¬i¯¯¬/±7¢°s¬i²Tª/Ë 8s³W´ ¢²¯ª©W²®y¬W¿%ª«s¬Z¯Ås¼¨G©W²»9³I§¢°¯³W»aª«s¬Z³W´?°¢²©A´·Æ¸W¬/³I¨Z¬/ª´· ®y³W´´¬i¯µ5³I²°ª³-ª«s¬ZÑ©A¸W´?©W²s¸I¢©W² ¯Ås¼¨G©W²»9³I§¢°¯a³W»¯·7¨Zµ§¬i®yª¢®m¨G©W²»9³I§¢°¯K¹¦EË ¬i¢²¯ª¬i¢² ¯ ´?¢²®/µ§¬<Ä?Ë Ò ´·7¢²s¸-ª³¯·7¨Zµ§¬i®yª /¬ª«s6¬ aŧ¬/´ ³I¢²®/©A´ ¬Z ª«s¬/³W´¬i¨ ³I²ª«s¬G¯Å¨ ³W»bª«s¬G¢²°¢®y¬i¯³W» ª«s¬ ¯¢²s¸Iŧ¢©A´Qµ5³I¢²Tª¯Q³W»±W¬i®yª³W´
(35) Ǭi§¢°¯/¿W¾È'©W¯
(36) §¬i©W°Z¢² :;;< ª³Kª«s¬ ®y³I²®/§¢Å¯³I²ª«©Aªª«s¬ ¯·7¨ µ§¬i®yª i©Aª³I²(¯«s³Iŧ¢°¼5¬G©W²(©W¯ª³I²¢¯«¢²s¸Æ¬yÎ7ª¬i²¯³I²u³W»ª«s¬ ³W´?¯¬ª«s¬/³W´·WËƾm»9³W´?¨Å§¢©Aª¬i° ° ¯®y³I² =¬i®yªÅs´¬i ¯ ³I²{ª«s¬ÇÎ7¬i°{µ5³I¢²Tª¯ ³W»¯·7¨Zµ§¬i®yª³I¨Z³W´µ«¢¯¨G¯/¿s³I²ª«s¬¢²Tª¬/´?¯¬i® ¦´?²s³I§¢ ª³I²¯³W»Qª«s¬Ñ©A¸W´?©W²s¸I¢©W²{¯Ås¼¨G©W²»9³I§¢°¯b©W²°Æ³I²Æª«s¬E§¢¢²sÃ7¢²s¸I¯a³W»Qª«s¬Ñq¬/¸W¬i²°s´?¢©W²Æ³I²s¬i¯/Ë Ò «s¬¯¢¨Zµ§¬i¯ª³W»ª«s¬i¯¬ ®y³I² =¬i®yªÅs´¬i¯¯ª©Aª¬i¯ª«©Aª x9psr 7~z?ry}e4w )rs}A9x9t}ewvAÆvArv r3tiry 9)ºA
(37) mr}A~G}AUpTt3~ }ewKvZxa}AexU}A3)tKxU}x9tiry w? Nr3tiry 9)x9psrm~Gv<t?tK|3ryxr ?Qp7v<t vWxa¢rv<tyx )rs}A9x9t fxUv <9)-x9psrE~7Nx S|/xUr3t9xU}-vI|?|?}A7x Ë ¾e²ª«s¬¨Z³W´¬E¸W¬i²s¬/´?©W§®/©W¯¬³W»
(38) ©º®y³I¨Zµ©W®yªm¯·7¨Zµ§¬i®yª¢®¨G©W²»9³I§¢°%¿ª«s¬°NÓ5¬/³I¨Z³W´µ«¢¯¨ ¯«s³Iŧ¢°G¼5¬ª«s¬ª¢¨Z¬³I²s¬m¨G©Aµ-³W»© ³YÈ°s¬yDzs¬i°¼)·Gª¢¨Z¬ f°s¬/µ5¬i²°s¬i²Tª Í ©W¨G¢§ª³I²»Å²®yª³I²%¿ ©W²°ª«s¬²)ŨE¼5¬/´³W»ÇÎ7¬i°µ5³I¢²Tª¯¢¯¨G¢²s³W´?©Aª¬i°¼)·{ª«s¬¨G¢²¢¨G©W§q²)ŨE¼5¬/´³W»
(39) ª«s¬®y´?ª¢®/©W§ µ5³I¢²Tª¯Z³W»m©»Å²®yª³I² ³I² ª«s¬¨G©W²»9³I§¢°¹9ª«s¬{ÇÎ7¬i° ©W²° ®y´?ª¢®/©W§µ5³I¢²Tª¯¼5¬i¢²s¸u®y³IŲTª¬i° ¬iª«s¬/´ ¼5³Wª«ÆȪ«-ª«s¬i´ ¨Å§ªµ§¢¢®/ª¬i¯/¿T³W´¢²-¼5³Wª«{®/©W¯¬i¯ ¸W¬/³I¨Z¬/ª´?¢®/©W§¢§·Ä?Ë Ò «s¬i¯¬ ®y³I² =¬i®yªÅs´¬i¯/¿I¸W¬i²s¬/´?©W§¢¢¯¢²s¸ª«s¬ §¢©W¯ªª«s¬/³W´¬i¨ m³W» ³I¢²®/©A´ ¬ ³I²Zª«s¬®/´?®/ŧ¢©A´©W.² ²)ŧ¢Å¯
(40) ¨G©Aµµ¢²s¸s¿I«©i±W¬¼5¬/¬i²G§¢©Aª¬/´b¯ªÅ°¬i°G¢²G©¯¬/´?¬i¯
(41) ³W»5¼´?¢§¢§¢¢©W²TªÈb³W´Ã7¯a³W»%¨G©W²T·Z©WÅsª«s³W´?¯ ¹ a©7Ë a§¢¢©W¯«T¼5¬/´¸s¿ Ë ©A¼¢²s³YȪ W¿)½Ë)½b³I²§¬/·©W² ° Ë ¬i«²°s¬/´i¿ (Ë7½'«©Aµ5¬/´³I²%¿ sË e½Ë)Ê7ÃW³ ´?©i±9¿ 8bËÑ©WÅ°s¬i²T¼©W®?«%¿ aÅ%ËQ½'«s¬/ÃA©W²s³Y±¿¦E&Ë 8Q§³)¬/´i¿ Í Ë Í ³W»9¬/´i¿
(42) ½!Ë mª¬/´¼5³s¿Q¦EË ¬i¢²¯ª¬i¢²%¿ ¿ (ËÁ´³I¨Z³Y±¿q©W²°³Wª«s¬/´?¯3Ä?$Ë # vAx7~ vA %
(43) }Yry|?}<p7}A~G}A}A " ËÊ7©W§³I¨Z³I²%¿5¦EËÁm±W¬i²Tª©W§S WUr3t ©W²°{Á´³I¨Z³Y&± ¯ tiryI}<p7}A}A~G}AUpTS||/7 r3t ª«s¬/³W´?¬i¯'©A´¬mÈb¬i§¢§ UÃ7²s³YȲ¼)·)µ´³7°Å®yª¯a³W» ª«¢¯ °s¬/±W¬i§³Wµ¨Z¬i²Tª/Ë Ò «s¬ viWvA))rK9xfry?tir|ixS}Ax9psr}A3 ¢¯b©»©A´ U´¬i©W®?«¢²s¸E¬yÎ7ª¬i²¯³I²³W»%ª«s'¬ ³W´?¯¬ª«s¬/³W´·W¿ ´¬/µ§¢©W®/¢²s¸Gª«s¬E»Å²®yª³I²¯¼)·Æ¯Å®?«¸W¬i²)Å¢²s¬i§·-¨Å§ª±A©W§¢Ås¬i°-»Å²®yª³I²©W)¯ ( *Ë ¦²s³Wª«s¬/´¬yÎ ª¬i²¯³I²Æ´¬/µ§¢©W®y¬i¯'ª«s¬»Å²®yª³I²¯b¼)·ºª«s¬®/§³I¯¬i° U»9³W´?¨G¯ ©W²$° ³W´?¯¬Kª«s¬/³W´·º¼)·-ɳY±7ÃW³Y&± ¯ . +. .
(44) y® ³I¨Zµ§¬yÎ5Ë Ò «s¬®y³W´´¬i¯µ5³I²°¢²s¸±W¬/´?¯³I²Æ³W»ª«s¬EÑ©A¸W´?©W²s¸W¬E¯Ås¼¨G©W²»9³I§¢°¯b¢²Tª¬/´?¯¬i®yª³I²{ª«s¬ ³W´·Æ¢¯°Ås¬Kª³ sË e½ËÊ7ÃW³W´?©i±Ë ¾m«©i±W¬«s¬i©A´?° ª«©AªE¨E· ¢²ª¢©W§®y³I²=¬i®yªÅs´¬i¯/¿qÈ«¢®?« ª´?¸W¸W¬/´¬i°u©W§¢§ª«s¬i¯¬Gª«s¬/³W´?¬i¯/¿©A´¬ ²s³YÈ µ´³Y±W¬i° ¹9¼)· 8ÅsÃA©i·I©7¿
(45) m²s³s¿Ê7©W§³I¨Z³I²%¿ Å©W²Ï©W²°Ï³Wª«s¬/´?¯3Ä?Ë ²s»9³W´ªÅ²©Aª¬i§· ¾ZÈ'©W¯ Ų©A¼§¬ª³Å²°s¬/´?¯ª©W²° ª«s¬Zª¬i®?«²¢®/©W§a°s¬/ª©W¢§¢¯m³W»'ª«s¬i¯¬Zµ´³)³W»¯/ËGÀK³I²Tª¯¬/±7¢®?«uÈ'©W¯EŲ©A¼§¬ ª³G¬yÎ7µ§¢©W¢²-ª«s¬i¯¬E°s¬/ª©W¢§¢¯ª³¨Z¬W¿È«¢§¬m©W§¢§5ª«s¬µ´³)³W»¯ ©A´¬¼©W¯¬i°Æ³I²{«¢¯'ª«s¬/³W´·-³W»Q¯ª©A¼§¬ ¨G©Aµµ¢²s¸I¯'³W»Q®/Ås´±W¬i¯/Ë ¦¯»©A´K©W¯¾ Ų°s¬/´?¯ª©W²°%¿©W§¢§ª«s¬i¯¬µ´³)³W»¯¨G¢²s³W´?©Aª¬Eª«s¬²)ŨE¼5¬/´³W»QÇÎ7¬i°µ5³I¢²Tª¯ ¼)· ª«s¬m¯Å¨G¯
(46) ³W»%ª«s¬mÂb¬/ªª²)ŨE¼5¬/´?¯
(47) È«¢§¬¾
(48) ®y³I² =¬i®yªÅs´¬i°ºª«©Aª'ªa¢¯b¨G¢²s³W´?©Aª¬i°G¼)·Zª«s¬ ³W´?¯¬ ²)ŨE¼5¬/´º¹9³W´¼)· ª«s¬¨G¢²¢¨G©W§Q²)ŨE¼5¬/´³W»'¸W¬/³I¨Z¬/ª´?¢®/©W§¢§·°NÓ5¬/´¬i²TªE®y´?ª¢®/©W§µ5³I¢²Tª¯»bª«s¬ ÇÎ7¬i°Æµ5³I¢²Tª¯©A´¬E®y³IŲTª¬i°{¸W¬/³I¨Z¬/ª´?¢®/©W§¢§·Ä?Ë ¾e²¨E·°s´¬i©W¨G¯³W»sª«s¬ ¯ª«s¬b¯·7¨Zµ§¬i®yª³I¨Z³W´µ«¢¯¨G¯5ÇÎ7¬i°Eµ5³I¢²Tª¯²)ŨE¼5¬/´¨G¢²s³W´?©Aª³I² È'©W¯»9³I§¢§³YÈb¬i°¼)·-ª«s¬¯¢¨G¢§¢©A´ ¯ªÅ°s·-³W»ª«s¬¯·7¨Zµ§¬i®yª¢®®y³W´´¬i¯µ5³I²°s¬i²®y¬i¯/¿È«¢®?«©A´¬²s³Wª ¸W´?©Aµ«¯³W»Q¯·7¨Zµ§¬i®yª³I¨Z³W´µ«¢¯¨G¯/Ë ·¢°s¬i© ³W»¯·7¨Zµ§¬i®yª¢®a©W²°®y³I²Tª©W®yª
(49) ª³Wµ5³I§³W¸W·È'©W¯Q»9´³I¨ª«s¬'±W¬/´·¼5¬/¸I¢²²¢²s¸°NÓ5¬/´¬i²Tª »9´³I¨!ª«©Aª'³W»QÁ´³I¨Z³Y±©W²° a§¢¢©W¯«T¼5¬/´¸s¿TÈ«s³EÈb¬/´¬ª«s¬Ç´?¯ªaª³¬yÎ7µ§³W´¬ª«s¬m²s¬/È °s³I¨G©W¢²¯ °¢¯®y³Y±W¬/´¬i°{¼)·ºª«s¬E¯·7¨Zµ§¬i®yª i©Aª³I²Æ©W²°{®y³I²Tª©W®yª i©Aª³I²¨Z¬/ª«s³7°¯/Ë ¾e²ª«s¬i´E³Wµ¢²³I²%¿ª«s¬-¯·7¨Zµ§¬i®yª¢®¹9³W´G®y³I²Tª©W®yª3ÄEª³Wµ5³I§³W¸W·u³W.¼ =¬i®yª¯Z¯«s³Iŧ¢°(«©i±W¬-ª«s¬ ¯·7¨Zµ§¬i®yª¢®¹9³W´®y³I²Tª©W®yª3Äb«s³I¨Z¬/³I¨Z³W´µ«¢¯¨!¢²T±A©A´?¢©W²®y¬ µ´³Wµ5¬/´ªf·Æ¶ª«s¬/·G¯«s³Iŧ¢°Gµ5¬/´?¯¢¯ª Ų°s¬/´ª«s¬ f¯¨G©W§¢§%¯·7¨Zµ§¬i®yª¢®Z¹9³W´®y³I²Tª©W®yª3Ä °NÓ5¬/³I¨Z³W´µ«¢¯¨G¯/Ë Ò ³ ¨Z¬ºª«s¬ºÈb³W´?° fxU}?s}A}W& -x9p vAuvI ir|ix r ¢¯ª«s¬-¯ªÅ°s·³W»ª«s¬ At/|/r/xfr ¢.² ±A©A´?¢©W²Tª¯³W»ª«s¬®y³I²Tª¢²)Ås³Iů'³W.¼ =¬i®yª¯³W»ª«s¬K®y³W´´¬i¯µ5³I²°¢²s¸¼´?©W²®?«-³W»¸W¬/³I¨Z¬/ª´·W¿¼5¬mª«s¬/· «s³I¨Z¬/³I¨Z³W´µ«¢¯¨¢²T±A©A´?¢©W²Tª'³W´²s³Wª/Ë Ò «)ů/¿W¾¢²®/§¢Å°s¬a¢²Tª³ } ir|ix rxU}?s}A}W ª«s ¬ }T zy9)tx9psr}Ary~}A-x9psr x9pTr?r9 r|ixS}A s}A9x9tG}ewv} ir|ix r 95rTrw/}A3~GvWxS}Ast ¹®/§¢©W¢¨G¢²s¸Gª«©Aª©²s³I²®y³I²Tª´?©W®yª¼§¬E®/´?®/§¬W¿¬i¨ ¼5¬i°°s¬i°G¸W¬i²s¬/´?¢®/©W§¢§·Z¢²Tª³ª«s¬´¬i©W§µ´³ =¬i®yª±W¬µ§¢©W²s¬W¿7«©W¯b©Aª'§¬i©W¯ªaª«s´¬/¬m¢.² ¬i®yª³I²Gµ5³I¢²Tª¯/¿ ª«s¬E°Å©W§%®/Ås´±W¬E«©i±7¢²s¸Z©Aª§¬i©W¯ªª«s´¬/¬E®/ůµ¯3Ä?Ë ¦ ´¬i®y¬i²Tª-®y³I² =¬i®yªÅs´¬¢² µ´³ =¬i®yª±W¬ª³Wµ5³I§³W¸W·¹°Ås¬{ª³ 8bËb¦5 ¢®/©A´?° ©W²° " Ë ©W²s³Y±Ä ¬yÎ7ª¬i²°¯Gª«s$¬ ³W
(50) ¼¢Å¯Zª«s¬/³W´¬i¨ ª³(ª«s¬Æ¸W¬i²s¬/´?¢®{¯Ås´»©W®y¬i¯G¢ ² ¿'¯¨Z³)³Wª«§· ®/§³I¯¬{ª³(© µ§¢©W²s¬WË Ò «s¬E®y³I² =¬i®yªÅs´¬®/§¢©W¢¨G¯/¿sª«©Aª x9psrsvAvTz}A S| 95r}ewKt3|ypvt379w/vI|3rEtxUvA))ryxbxU} x9psrEv<t3A~5xU}WxS|ZA9r|ixS}Au}ewKx9psrmt379w/vI|3rEvWx
(51) ¢rv<tyxbvW&x Es}A9x9t 9)ry5ryvWx9) ºt3avA9}A
(52) xUvA9 t }ewx9psrºAvAt379w/vI|3r vAx9p7vWxmx9psryr-vAr-vWx¢rv<tyx ÆsvAvTz}A S|Æ 95r3tG wGx9psryr-vAr-}A xUvA))ry|/Ks}A9x9t Ë Ò «s¬E´¬i®y¬i²Tª¯µ5¬i®yª©W®/ŧ¢©A´m©W®?«¬/±W¬i¨Z¬i²Tª¯³W» |?}AxUvI|ixxU}?s}A}W ¢²®/§¢Å°s¬mª«s¬®y´¬i©Aª³I²¼)· aÅ%˽'«s¬/ÃA©W²s³Y±¹©W²°(©W§¢¯³¼)· a©7 Ë a§¢¢©W¯«T¼5¬/´¸{©W²° Í Ë Í ³W»9¬/´yÄm³W»ª«s¬ |?}AxUvI|ixp7}A~G}A}W ª«s¬/³W´·WË
(53) m²s¬¨G©i·u«s³Wµ5¬Gª«©Aªª«s¬»Ås´ª«s¬/´E°s¬/±W¬i§³Wµ¨Z¬i²TªE³W»ª«s¬i¯¬º¢°s¬i©W¯Èb³Iŧ¢°uµ´³Y±7¢°s¬ ª«s¬µ´³)³W»%³W»%ª«s¬m®y³I² =¬i®yªÅs´¬i¯b³I²ª«s¬m²s¬i®y¬i¯¯ªf·Z³W»q»9³IÅs´'®/ůµ¯
(54) ³W»©W²T·ZÈ'©i±W¬K»9´³I²Tªa¬/±W¬/´?¯³I² ¢²-ª«s¬µ§¢©W²s¬WË Ò «¢¯®y³I² =¬i®yªÅs´¬Æ¬yÎ7ª¬i²°¯ª³ª«s¬-¸W¬i²)Å¢²s¬-¨Å§ª±A©W§¢Ås¬i°u»Å²®yª³I² ¹9³W» ( * ªf·)µ5¬<Ī«s¬ x73~ x9psr}Ary~ }A-ry3S}iAS| w37|ixS}Ast ¿È«¢®?«{ª¯¬i§»Q¬yÎ7ª¬i²°¯ª«s¬ ³W´?¯¬ª«s¬/³W´·Æ³W»
(55) ®y´?ª .
(56) ¢®/©W§
(57) µ5³I¢²Tª¯mª³«¸I«s¬/´E°s¬/´?±A©Aª±W¬i¯/Ë Ò «¢¯mª«s¬/³W´¬i¨ ®/§¢©W¢¨G¯Kª«©Aª x9psrº7~z?ryº}ewYry}<t-}ew vw37|ixS}A }AÏv|/9|/¢rtG~9}AvWxfrzyx9psrº7~z?ry-}ewYry}<tÆ}ewGx9t%
(58) ?tyx}A vAt?pT 9) %q}A73UryEp7vA3~G}AS| ¹9µ´³Y±7¢°¢²s¸G©®y³I²7Ç´?¨G©Aª³I²{³W»ª«s¬E¸W¬i²s¬/´?©W§qª³Wµ5³I§³W¸I¢®/©W§¬i®y³I²s³I¨E· µ´?¢²®/µ§¬³W»©W§¸W¬/¼´?©W¢®m³W.¼ =¬i®yª¯3Ä?Ë Ò «s¬´¬i§¢©Aª³I²Ï³W»E©W§¢§ ª«¢¯º°s³I¨G©W¢² ª³ ®y·7®/§¢¢®«s³I¨Z³I§³W¸W·Ï©W²°®?«©A´?©W®yª¬/´?¢¯ª¢® ®/§¢©W¯¯¬i¯/¿ °¢¯®y³Y±W¬/´¬i°{¼)· (ËÀ© i©A´?¢©W²%¿sµ´³Y±7¢°s¬i¯ ¯³I¨Z¬«s³Wµ5¬mª«©Aª ³W´?¯¬ª«s¬/³W´·-®/©W²{¼5¬m¬yÎ7ª¬i²°s¬i° ª³Gª«s¬«¸I«s¬/´ °s¬/´?±A©Aª±W¬i¯E¹9³W´ ª³Gª«s¬¨Z³W´¬K¸W¬i²s¬/´?©W§®/©W¯¬³W»Q²s³I²«s³I§³I²s³I¨G¢®®y³I²¯ª´?©W¢²Tª¯3Ä?Ë Ò «¢¯b¬yÎ7ª¬i²¯³I²Æ¯«s³Iŧ¢°º®y³I²Tª©W¢²Æª«s¬G¹9¸W¬i²)Å¢²s¬<Äa¨Å§ª±A©W§¢Ås¬i°»Å²®yª³I²¯ ³W´?¯¬Kª«s¬/³W´· ª «s¬ª«s¬/³W´·³W»5Ñ©A¸W´?©W²s¸W¬¢²Tª¬/´?¯¬i®yª³I²¯©W²°GÑq¬/¸W¬i²°s´¬ §¢¢²sÃ7¢²s¸¹°s¬i¯®y´?¼¢²s¸ª«s¬ ®/©Wů©W§¢ªf· ¢²ª«s¬´¬i§¢©Aª±7¢¯ª¢®aµ«T·7¯¢®/¯/¿W©W®/®y³W´?°¢²s¸Kª)³ ËWÑq³YÈÏ©W²° Ë ¬i²s´³I¯¬<ÄQ©W¯Qª«s¬'Ç´?¯ª°s¬/´?±A©Aª±W¬ ®/©W¯¬WË Ê)·7¨Zµ§¬i®yª¢®©W²°®y³I²Tª©W®yªª³Wµ5³I§³W¸I¬i¯/¿q®y´¬i©Aª¬i°©W¯mª«s¬¯·7¨Zµ§¬i®yª i©Aª³I² ©W²°ª«s¬®y³I.² ª©W®yª i©Aª³I²³W»Q°NÓ5¬/´¬i²Tª¢©W§5ª³Wµ5³I§³W¸W·W¿©A´¬Kª³7°©i·-Èb¬i§¢§q¯¬/ªª§¬i°{°s³I¨G©W¢²¯'³W»¨G©Aª«s¬i¨G©Aª¢®/¯/Ë ¦²s³Wª«s¬/´©Aªª¬i¨ZµªGª³(¨Å§ªµ§·u¨G©Aª«s¬i¨G©Aª¢®/©W§ ´¬i¯Å§ª¯Z¢¯ª«s¬ |?}A~¢r W b|?vWxS}AvA vWxfry3S}A ivWxS}AArvA~ Ë Ò «s¬Ç´?¯ªb¯µ5¬i®yª©W®/ŧ¢©A´b¯Å®/®y¬i¯¯b³W»%ª«¢¯a¢°s¬i©È'©W¯aª«s¬µ´³)³W»5ª«s¬ ÁmÅ°sÃW³Y&± ¯®y³I² =¬i®yªÅs´¬¢²-´¬i©W§q©W§¸W¬/¼´?©W¢®m¸W¬/³I¨Z¬/ª´·WË
(59) m²s¬³W»ª«s¬ ¨Z³I¯ªº»Å²°©W¨Z¬i²Tª©W§ µ´³W¼§¬i¨G¯G³W»¨G©Aª«s¬i¨G©Aª¢®/¯-¢¯ x9psrG}Tzy¢ry~ }ewx9psr xU}?s}A}WS|?vAtyx3|ix7r3t}ewEx9psrErvAQ|/7 r3t , T#r
(60) 5r{zyºvA )rYzyvAS|r vWxS}Ast}ewTrUWr?r Ë Ò «¢¯µ´³W¼§¬i¨ «©W¯E¼5¬/¬i²(¯³I§±W¬i°(»9³W´ > ¼)·ª«s¬º¦²®/¬i²Tª¯-¹9¬i§¢§¢µ¯¬i¯/¿«T·)µ5¬/´¼5³I§¢©W¯/¿ µ©A´?©A¼5³I§¢©W¯ // Ä?Ë Ò «s¬®/©W¯¬i¯ + ³W´ Èb¬/´¬u¯¬/ªª§¬i° ¼)· " ¬i¯®/©A´ª¬i¯©W²° ɬ/È ª³I²%Ë Í ¢§¼5¬/´ª«©W¯K¢²®/§¢Å°s¬i°{ª«s¬Z®/©W¯¬ ¢²«¢¯ ª« µ´³W¼§¬i¨Æ-Ë 8s³W´ ¿%ª«s¬Z©W²¯Èb¬/´¢¯ ¯ª¢§¢§%ŲsÃ7²s³YȲ%Ë Ò «s¬i¯¬ rvAs}Tzy¢ry~t ©A´¬ª³)³°
(61) º®/ŧªb»9³W´ª«s¬E¨Z³7°s¬/´?²Æ©W§¸W¬/¼´?©W¢®m¸W¬/³I¨Z¬/ª¬/´?¯©W²°Æ»9³W´ µ´¬i¯¬i²Tª°©i·-®y³I¨ZµÅsª¬/´?¯/Ë ¦®/®y³W´?°¢²s¸Eª³ Í ©A´?²©W®Ã¿7ª«s¬²)ŨE¼5¬/´
(62) ³W»q®y³I²²s¬i®yª¬i°º®y³I¨Zµ5³I²s¬i²Tª¯a³W»q©E®/Ås´±W¬³W»%°s¬/¸W´¬/¬ ° ¿È«s¬/´¬ ¹ Äy¹ > Ä > ¢²uª«s¬º´¬i©W§aµ´³ =¬i®yª±W¬ºµ§¢©W²s¬°s³)¬i¯²s³WªE¬yÎs®y¬/¬i. ¢¯ ª«s¬¸W¬i²)ů³W»ª«s¬®/Ås´±W¬WËm½'Ås´±W¬i¯Èª« ®y³I¨Zµ5³I²s¬i²Tª¯°s³¬yÎs¢¯ª/¿ª«s¬/·ÆÈb¬/´¬®/©W§¢§¬i° f®/Ås´±W¬i¯¹ »9³W´ ¨G©<Îs¢¨G©W§ TÄb¼)·º¾3Ë ÁË ¬/ª´³Y±7¯Ã)·WË Í ¢§¼5¬/´ª©W²²s³IŲ®y¬i°ª«©Aª
(63) «s¬'«©W°µ´³Y±W¬i°ª«©AªQ³I²§·ªfÈb³©A´´?©W²s¸W¬i¨Z¬i²Tª¯³W»ª«s¬ ³Y±A©W§¢¯ ³W»a©W² f®/Ås´±W¬³W»a°s¬/¸W´¬/¬ Èb¬/´¬µ5³I¯¯¼§¬G¶ ³I²§·Æ³I²s¬³Y±A©W§Q®y³I²Tª©W¢²¯m³Wª«s¬/´m³Y±A©W§¢¯m¢²¯¢°s¬ ª¯ °¢¯®A¿sª«s¬²)ŨE¼5¬/´³W»Qª«s¬¢²Tª¬/´?³W´ ³Y±A©W§¢¯¼5¬i¢²s¸¬iª«s¬/´ ³W´ : Ë ¦É i«²
(64) ɳY±)¸W³W´³7° ¨G©Aª«s¬i¨G©Aª¢®/¢©W²%¿ " Ë
(65) ÁmÅ°sÃW³Y±¿
Documents relatifs
In section 4 we prove the main theorem and state the direct conséquence that deciding whether the rank of a finite set of words is not greater than a given integer is NP-complete..
Figure 1. Log-log graph of the distribution of the performance of acoustic classifiers for both feature sets. This distribution of the performance of classifiers is
Then, the author proposed a complete type inference algorithm for Wand's system [Rem89], but it was formalized only in the case of a nite set of labels (a previous solution given
(c) Second International Mathematics Study (SIMS) — a test of 13-year-olds and students in the last year of secondary school in 22 countries (Burstein, 1993a; Robitaille &
Labov, rapporteurs, Community Colleges in the Evolving STEM Education Landscape, National Research Council and National Academy of Engineering; Division on Policy and Global
In this section, we will give some properties of these Green functions that we will need later. The proof of the following lemma is based on elementary potential theory on the
Practical experience building industrial recommendation applications suggests that user "trust" (a fuzzy concept combining user psychology with UI design and
At the start of this research we expected a positive correlation between the level of knowledge of mathematics and the results of the exams for the first quarter.. This was based on