Re: Translates in R^2 and lattices
- From: David C. Ullrich <ullrich@xxxxxxxxxxxxxxxx>
- Date: Tue, 24 Oct 2006 06:52:11 -0500
On Tue, 24 Oct 2006 04:20:36 EDT, Kerk <gerunfio@xxxxxxxxxxx> wrote:
Some advice, please:
If R is a region in R^2, with finite area A,
how do we show that we can translate R so that
R will contain at least :
_ _
| A |
lattice points? (i.e, the smallest integer
greater or equal to A).
Say x + A is the translate of A by x. Consider the
_average_ of the number of lattice points in x + A,
where x ranges over a large square. (Apply Fubini's
theorem...)
Thanx
************************
David C. Ullrich
.
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- Translates in R^2 and lattices
- From: Kerk
- Translates in R^2 and lattices
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