kontsyslos080108

kontsyslos080108 - DEAÖGA AEA ACAGA EGAYE75hÔ 88 eg eÒd...

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Unformatted text preview: DEAÖGA AEA ACAGA EGAYE75hÔ 88 eg eÒd ÖeÔÓ ÐÝÒÓÑ eÒ P ( x ) = 1 , P 1 ( x ) = x Óh P 2 ( x ) = 3 2 x 2 − 1 2 ÖÓ ÖØÓgÓÒa ÐaÑ edaÚ ×eeÒd e Ô×ka ÐÖÔ ÖÓdÙk ØeÒ ( u | v ) = integraldisplay 1 − 1 u ( x ) v ( x ) dx ØØ p ( x ) = 2 summationdisplay k =0 a k P k ( x ) D b ÐiÖ bardbl f − p bardbl ×ÓÑ Ñ iÒ ×Ød a k = ( P k | f ) ( P k | P k ) A ÐÐØ×b ÐiÖ a = 1 4 , a 1 = 1 2 Óh a 2 = 5 16 Úa Ö : p ( x ) = 1 4 + 1 2 x + 5 16 ( 3 2 x 2 − 1 2 ) = 3 32 + 1 2 x + 15 32 x 2 D eØÑ a ØeÑ a Ø i×kaÔ ÖÓb ÐeÑ eØkaÒÚa ÖaeÒÑ Ód e ÐÐfö ÖeÒha ÐÚÓÒd Ðig ×ØÖÒg×ÓÑ h e Ða Ø id eÒ Öfa ×Ø×a ØØ iÓ Ö igÓ id Ø id eÒ t = 0 Ðigg eÖ×ØÖÒg eÒ ÐÒg ×d eÒÔÓ × iØ iÚa x aÜ e ÐÒØÖÒg eÒ fÖd g eÒÓÑ eØØ× ÐagÑ ed eÒ ×Ñ a ÐhaÑÑ a Öed eÒ ØÖaÒ ×Ú eÖ×e ÐÐaha ×Ø igh eØeÒ δ ( x − 1) G eÒÓÑ eÒÙdda fÓ ÖØ×ØØÒ iÒg Ø iÐÐh e Ða Öee ÐÐaaÜ e ÐÒ fÖÚ ieØØÔ ÖÓb...
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This note was uploaded on 10/07/2011 for the course FMA 021 taught by Professor Pellepettersson during the Spring '11 term at Lund.

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kontsyslos080108 - DEAÖGA AEA ACAGA EGAYE75hÔ 88 eg eÒd...

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