Talk:Beatty's theorem

This article now redirects to Beatty sequence. Geometry guy 16:16, 13 May 2007 (UTC)[reply]

Notation

I am not very familiar with math notations. What doe $1p$ mean? 1*p or 1 prefixed before p? -- Sundar 10:50, Dec 8, 2004 (UTC)

1 times p. Or, in other words, simply p. It's kind of redundant to specify multiplication by one, but it was probably done to clarify the sequence. — Gwalla | Talk 17:13, 6 Jan 2005 (UTC)

IMO that sequences are clear enough even without it, so I'm going to delete it.

Diagram for Beatty's theorem

Here's a pair of diagrams which neatly illustrate the theorem.

www3.telus.net/ldh/math/beatty.htm

Maybe somebody who knows Wiki better than I do can insert these diagrams, or similar ones, into the article. Notice also that the theorem can be extended from lines of the form

y/x = positive irrational constant

to curves that go through no lattice point.