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hw3 - A a ÖÓÒa ÖbÙ Ög E Òg Ö5:F eedbakC ÓÒ ØÖÓ...

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Unformatted text preview: A a ÖÓÒa ÖbÙ Ög E Òg Ö5 :F eedbakC ÓÒ ØÖÓ ÐÓ fD ÝÒaÑ iÝ ×ØeÑ × ÓÑ eÛ Ó Ök# Ó ÐÙ Ø iÓÒ × E ahÔ ÖÓb ÐeÑ Û Ó ÖØh5Ô Ø× Ó Øa Ð: 45Ô Ø× [Ú e×Øa ÖØed iÒ ÐÙd iÒgÑ Ýa Ø ÐabÓd eÛ iØh Øh e×Ó ÐÙ Ø iÓÒ ×e Ø×G eÒ eÖa ÐÐÝ ×Ô eak iÒgÐÐØÖÝ ØÓ iÒ ÐÙd ea ÐÐÓ fÑ ÝÓd ea ØØh eeÒdÓ fØh edÓÙÑ eÒ ØaÒdÛ iÐÐÓÒ ÐÝ iÒ ÐÙd eÓd e iÒ Øh ebÓdÝÓ fØh e×Ó ÐÙ Ø iÓÒ × ifiØ×Öea ÐÐÝ Öe ÐeÚaÒ ØØÓ Øh eÔ ÖÓb ÐeÑ h i××hÓÙ Ðdk eeÔ Øh e×Ó ÐÙ Ø iÓÒ ×Ñ Ó ÖeÖeadab ÐeaÒdÑ ak e iØea × ieÖØÓÔ Ö iÒ ØÛ iØhÓÙ Ø a ÐÐØh e×ÓÙ ÖeÓd e ℄ ÖÓb ÐeÑ# A ××ÙÑ eÝÓÙhaÚ eaÔ ÐaÒ Ød e¬Ò edbÝ Øh eØÖaÒ × feÖ fÙÒ Ø iÓÒ × = = ×a a ha Øi×Øh e fÖeÕÙ eÒÝ Öe×ÔÓÒ ×eÓ fØh eÔ ÐaÒ Øa ×d e¬Ò edbÝ Øh e ØeÜ Ø eÕÙa Ø iÓÒ ? b × iÒgÛ ha ØÛ ekÒÓÛ abÓÙ ØaÔ ÐaeØÖaÒ × fÓ ÖÑ ×Øh eÖe×ÔÓÒ ×e Ó fØh i××Ý ×ØeÑ ØÓaÓ × iÒ e iÒÔÙ Ø i× Y × = × × × ¾ ! ¾ ha Øi× Ý Ø ? hÓÛ Øha ØÔa ÖØ× a aÒd b ag Öeea × Ø aÔÔ ÖÓah e× iÒ¬Ò iØÝ a fØeÖ Øh eØÖaÒ × ieÒ Ø×haÚ ed iedÓÙ Ø a A ×g iÚ eÒ iÒ Øh ebÓÓk Øh eØ iÑ edÓÑ a iÒ Öe×ÔÓÒ ×eÓ fØh eÔ ÐaÒ Ø × ØÓa × iÒÙ ×Ó ida Ð iÒÔÙ Ø A Ó × ! Ø i×g iÚ eÒa × Ý Ø = A Ó × ! Ø Û h eÖe = j j! j = 6 j! F Ó ÖØh eÔ ÐaÒ Øa ×g iÚ eÒ Øh e×e× iÑ Ô ÐifÝ ØÓ : = Ô !a = ØaÒ ! a b eaÒa Ð×ÓdÓ Øh i×Ñ Ó Öed iÖeØ ÐÝÛ iØh Øh eaÔ ÐaeØÖaÒ × fÓ ÖÑh eaÔ Ðae dÓÑ a iÒÚ eÖ× iÓÒÓ fÓÙ ÖØÖaÒ × feÖ fÙÒ Ø iÓÒd Ö iÚ eÒbÝaÓ × iÒ e Û iØh Øh eÑ agÒ iØÙd e A ×e ØØÓ i× Y × = × × ×! = ×a × ×! Û h ihÛ eaÒa Ð×ÓÛ Ö iØea × Y × = × ×a × j! ×j! Ó Ö Y × = A ×a B × j! B ? ×j! d e ØeÖÑ iÒ eØh eÖe× idÙa Ð×bÝ Øh eÓÚ eÖÙÔÑ e ØhÓda × fÓ ÐÐÓÛ × : A = ×a Y × j × = a = a a! aÒd B = × j! Y × j × = j! = j! j!a j! = aj! ×Ó Øh eeÜÔaÒd edÚ eÖ× iÓÒ i××ÓÑ e Øh iÒg Ðik e : Y × = a a! ×a aj! × j! a j! ×j! Ñ aØÙa ÐÐÝgÓ iÒg ØÓ fÙdgea ÐiØØ Ðeb iØaÒd Øak eØh e Ða ×ØØÛ Ó ØeÖÑ ×aÒd ÖeÓÑ b iÒ e Øh eÑ ßÓÙ ÐdhaÚ eaÓÑ Ô Ði×h eda × iÑ iÐa ÖeÒdbÝb Öeak iÒg Øh e fÙÒ Ø iÓÒ iÒ ØÓ ×ÓÑ e Øh iÒg Ðik e : Y × = A ×a D ×E ×! Û h eÖe D aÒd E a Öe×ÓÑ ed i« eÖeÒ ØÙÒkÒÓÛ Ò ×Û h iha ÖeÒ ØeÕÙa ÐØÓ B aÒd C ÒaÒÝa ×eÖeÓÑ b iÒ iÒg Øh e Ða ×ØØÛ Ó ØeÖÑ ×g iÚ e× : Y × = a a! ×a a j! ×j! aj! × j! 4 a j! aj! × j! ×j! = a a! ×a a×ja! j×!!a× ja!j×!! a! ×! = a a! ×a a×! a! ×! Ó Ö Y × = a a! ×a a! a× ×! ! ×! Øak iÒg Øha Ø iÒ ØÓ Øh eØ iÑ edÓÑ a iÒg iÚ e× : Ý Ø = a a! e a Ø a! a Ó × ! Ø! × iÒ ! Ø ÓÛ h eÖe×Øh eØÖ ikÝb iØaÝÝÓÙÚ...
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