Eùüaù øöe×jóù eù ö× 4 eô öé×eò

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Unformatted text preview: eÙÜaÙ ØÖe×jÓÙ eÙ Ö× 4 eÔ Öé×eÒ ØeÞeÒÓÙÚ eaÙ jeÙ ×ÓÙ × fÓ ÖÑ eeÜ ØeÒ × iÚ eD é Øe ÖÑ iÒ eÞ Ðe×EeÒ ×ØÖa Øég ie×ÔÙ Öe× E Ü eÖ ie48 D i××Ù a × iÓÒ D eÙÜÔaÝ ×e ØÕÙ i×ÓÒ ØeÒÓÒ iØÔÓÙ ÖÙÒ Øe ÖÖ iØÓ iÖeÓÒ Ø× iÑ Ù Ð ØaÒ éÑ eÒ Ø ÐaÔÓ ×× ib iÐiØéda ØØaÕÙ e Ö aØ iÓÒ A ÓÙd eÒ eÖ ieÒ fa iÖe aØ iÓÒ N aÑ a ØÖ iedÙ jeÙ ×ÓÙ × fÓ ÖÑ eÒÓ ÖÑ a Ðee×ØÖeÔ Öé×eÒ ØéeÔa Ö ÐagÙ Öe8Óù a > b > c > A N A (0 , 0) ( a,c ) N ( c,a ) ( b,b ) F ig 8 eÙ ×ÓÙ × fÓ ÖÑ eÒÓ ÖÑ a Ðede ÐeÜeÖ ie48 D eÕÙ e ÐØÝÔ ed e jeÙÚÙ eÒÓÙ Ö××ag iØ iÐ?Ù e ÐÐe×ÓÒd iØ iÓÒ ××Ù Ö Ðe×Ôa ÖaÑ è ØÖe×faÙd Öa iØ iÐ Ñ Ód ie ÖÔÓÙ ÖÓb ØeÒ iÖÙÒd iÐeÑÑ ed e×Ô Ö i×ÓÒÒ ie Ö×? D aÒ × Ða ×Ù iØed e ÐeÜ e Ö ieÓÒ ×ÙÔÔÓ ×eØÓÙ jÓÙ Ö×ÕÙ e a > b > c > D é Øe ÖÑ iÒ eÞ Ðe×éÕÙ iÐib Öe× d ea ×heÒ ×ØÖa Øég ie×ÔÙ Öe×e Ø ÐÙÒ iÕÙ eéÕÙ iÐib Öed ea ×heÒ ×ØÖa Øég ie×ÓÑ Ô Ðè ØeÑ eÒ ØÑ iÜ Øe× ÙÔÔÓ ×ÓÒ ×ÕÙ e ÐeÔaÝ ×ÔÙ i××e×eÒgage Öa ØØaÕÙ e Ö Ö iÔÓ ×Øe Ö aÚ eÔ ÖÓbab iÐiØé π × iÐÓb ×e ÖÚ e ÕÙ e ÐeÔaÝ ×a ØØaÕÙ ee ØÒ eÖ ieÒ fa iÖe× iÒÓÒÓÙ ÖÕÙ e ÐÐe×Úa ÐeÙ Ö×d e π ÐeÔaÝ ×e×Ø iÐaÔab Ðed e d i××Ùad e Ö ÐeÔaÝ ×da ØØaÕÙ e Ö?E ÒdaÙ ØÖe×Øe ÖÑ e×ÔÓÙ ÖÕÙ e ÐÐe×Úa ÐeÙ Ö×d e π e×Ø iÐÔÓ ×× ib ÐedaÚÓ iÖ ÓÑÑ eÙÒ iÕÙ eéÕÙ iÐib Öed ea ×hÔa Ö fa iØeÒ ×ÓÙ ×jeÙÜ ÐeÖé×Ù ÐØa ØÓù Ðe×d eÙÜÔaÝ ×Òa ØØaÕÙ eÒ ØÔa ×? 4 Ò×ÙÔÔÓ ×eØÓÙ jÓÙ Ö×ÕÙ e ÐeÔaÝ ×ÔÙ i××e×eÒgage Öa ØØaÕÙ e ÖaÚ eÙÒ eÔ ÖÓbab iÐiØé π × iÐ jÙiÐÐeØ8 héÓÖiede×jeÙÜEÜeÖie× FÓe××ÐeÖ Ób ×e ÖÚ eÕÙ e ÐeÔaÝ ×a ØØaÕÙ ee ØÒ eÖ ieÒ fa iÖe× iÒÓÒD eÔ ÐÙ ×ÓÒ ×ÙÔÔÓ ×eÕÙ e ÐeÔaÝ ×Ô eÒ ×eaÚ e Ô ÖÓbab iÐiØé θ ∈ (0 , 1) ÕÙ e ÐeÔaÝ ×Ô Öé fè ÖeØÓÙ jÓÙ Ö×a ØØaÕÙ e Öe ØaÚ eÔ ÖÓbab iÐiØé 1 − θ ÕÙ e ÐeÔaÝ × a Ðe×Ô Öé fé ÖeÒe×dÙ jeÙdÓ Ö ig iÒ eD é Øe ÖÑ iÒ e Ö ÐaÔ ÖÓbab iÐiØé π d eÖeÔ Öé×a iÐÐe×ÕÙ ie×ØÓÔ Ø iÑ a ÐeÔÓÙ Ö ÐeÔaÝ × jÙiÐÐeØ8 héÓÖiede×jeÙÜEÜeÖie× FÓe××ÐeÖ 5eÙÜ ÖéÔ é Øé ×iÒ fÓ ÖÑ a Ø iÓÒÓÑ Ô Ðè Øee ØÓb ×eÖÚa Ø iÓÒÔa Ö fa iØe Ó Ö iÞÓÒÒ i E Ü eÖ ie5 C ÓÒ × id é ÖeÞ Ðe jeÙ ×ÓÙ × fÓ ÖÑ eÒÓ ÖÑ a Ðe id e××ÓÙ × a b c a 1 , 1 5 , , b , 5 4 , 4 , c , , 3 , 3 D é Øe ÖÑ iÒ eÞ Ðe×éÕÙ iÐib Öe×d ea ×heÒ ×ØÖa Øég ie×ÔÙ Öe×d ee jeÙ ÒÓÒ × id è ÖeÕÙ ee jeÙ e×ØjÓÙ éd eÙÜ fÓ i×d e×Ù iØee ØÕÙ e Ðe× jÓÙ eÙ Ö×Ób ×e ÖÚ eÒ Ø Ðe×d é i× iÓÒ × d e ÐaÔ ÖeÑ iè Öeé ØaÔ eaÚaÒ Ød e jÓÙ e ÖeÒd...
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