Re: [分析] 證明 r(1-u^r)≦(1-u)^r
※ 引述《iddee ()》之銘言:
: 0≦u≦1, 0≦r≦1
: 證明 r(1-u^r)≦(1-u)^r
As 0<=u,r <=1, we have u^r+(1-u)^r >= u + (1-u) =1.
So (1-u)^r >= 1-u^r >= r(1-u^r).
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 76.94.119.209
推
03/16 06:15, , 1F
03/16 06:15, 1F