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Topic: Composites, and neat relation
Replies: 18   Last Post: Sep 14, 2004 3:38 AM

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Composites, and neat relation
Posted: Sep 13, 2004 5:56 AM
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On 12 Sep 2004 11:43:15 -0700, jstevh@msn.com (James Harris) wrote:

>So someone pointed out that there's the trivial relation
>
>[x] + [x + 1/2] = [2x] where you're in reals,
>
>and I started thinking about
>
>[x] + [x + 1/k] = [2x]
>
>also in reals, with k>1, and it turns out you need x>1 as well, which
>I was thinking about didn't put down before.

right. how do you -prove- that the equation holds for k > 1 and
x > 1?




************************

David C. Ullrich

sorry about the inelegant formatting - typing
one-handed for a few weeks...




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