作者iddee (好痛哥哥)
看板Math
標題Re: [分析] 初微(6)
時間Mon Jul 11 08:35:07 2005
※ 引述《PttFund (批踢踢基金)》之銘言:
: If
: c_0 + c_1/2 + ... + c_n/(n+1) = 0,
: where c_i is real. Prove that
: c_0 + ... + c_n x^n = 0
: has at least one root between 0 and 1.
n (c_i)x^i+1
By assumption => x=0 and x=1 are roots of Σ -----------
i=0 i + 1
Roll's Thm. => there is x_0 between 0 and 1 s.t.
n
Σ (c_i)(x_0)^i = 0
i=0
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總是去意識著別人的評價,這樣的生活方式、生活態度不是我所要的。
我想要過的是---自己所能接受、自己可以認同的生活方式..
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◆ From: 61.219.178.212
※ 編輯: iddee 來自: 61.219.178.212 (07/11 08:37)
→ eggsu :如何由Roll's Thm.推知有解?為何c_0和Σc_i異號? 04/17 00:07
→ eggsu :我看懂了……真是尷尬! 04/17 00:10