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

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Dik T. Winter

Posts: 7,899
Registered: 12/6/04
Re: Composites, and neat relation
Posted: Sep 13, 2004 6:11 AM
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In article <3c65f87.0409121727.2ef5c7a8@posting.google.com> jstevh@msn.com (James Harris) writes:
> jstevh@msn.com (James Harris) wrote in message news:<3c65f87.0409121043.5988edb8@posting.google.com>...
> > 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.
>
> You can have x less than 1 as what's needed is
>
> xk + 1 >= k

Think again. (Take x = 5/3, k = 6.)
--
dik t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn amsterdam, nederland; <a href="http://www.cwi.nl/~dik/">http://www.cwi.nl/~dik/</a>




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