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俺觉得不对,你不认为接下来放上去的牌也是一种"扰动"么?

Posted by tdzl2003 at 2006-10-29 07:57:11 on Problem 1003
In Reply To:Re:怀疑这个题的物理前提 是错的 我也这么认为,但我还有别的想法 Posted by:wanghexiang221 at 2006-10-27 08:45:47 
> 
> 我觉得好象是
> 1/(2*1) +1/(2*2) +1/(2*3) +1/(2*4) +.....
> =(1/2)*(1/1+1/2+1/3+1/4+....)
> 
> 我的推导是这样的:
> 设Si为前i张扑克最大探出距离,S0=0,S1=1/2
> 由重心公式,加上第i+1张扑克后最大的探出距离是:
> Si+1 = ( Si*(i+1) + 1/2 ) / (i+1) , i=0,1,2,3,...
> Si+1 - Si = 1/(2*(i+1))
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