精華區beta Math 關於我們 聯絡資訊
※ 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 -- 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.. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ 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