b******n 发帖数: 147 | 1 【 以下文字转载自 Mathematics 讨论区,原文如下 】
发信人: beautumn (星星草), 信区: Mathematics
标 题: Help for the min value. Thanks
发信站: Unknown Space - 未名空间 (Mon Oct 25 12:53:28 2004) WWW-POST
Please help me.....
SUM of a_i is N; where i is changed from 1 to m
SUM of b_i is N; where i is changed from 1 to m
So, what is the max/min value of (SUM of a_i*b_i),where i is changed from 1 to
m.
The max value is N^2 where a_i0=b_i0=N and a_i1=b_i1=0 for all i1<>i0, right?
How do I know the min value? I think it should be like | b******n 发帖数: 147 | 2 Sorry, I forgot to mention it. If the case (a_1=N, b_1=0; a_2=0, b_2=N) is
impossible to appear in the real experiment,what is the min (non-zero) value?
to
right?
【在 b******n 的大作中提到】 : 【 以下文字转载自 Mathematics 讨论区,原文如下 】 : 发信人: beautumn (星星草), 信区: Mathematics : 标 题: Help for the min value. Thanks : 发信站: Unknown Space - 未名空间 (Mon Oct 25 12:53:28 2004) WWW-POST : Please help me..... : SUM of a_i is N; where i is changed from 1 to m : SUM of b_i is N; where i is changed from 1 to m : So, what is the max/min value of (SUM of a_i*b_i),where i is changed from 1 to : m. : The max value is N^2 where a_i0=b_i0=N and a_i1=b_i1=0 for all i1<>i0, right?
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