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Nov 24, 2009 at 19:08 comment added Kaveh Khodjasteh @fedja and the rest: I am convinced that you solved the problem and your answer is not only very nice but also very instructive. Is there a way to appreciate your work in what I will be writing up later? The context is an open loop (quantum or classical) control problem for which I required the existence of these numbers as a step in a recipe. I could acknowledge mathoverflow.net but that won't be sufficient in this case, I think.
Nov 24, 2009 at 1:41 vote accept Kaveh Khodjasteh
Nov 23, 2009 at 23:29 comment added fedja @Reid: Yes, both points you made are correct.
Nov 23, 2009 at 20:24 comment added Reid Barton To see whether I understand this: This solution produces xs and ys inside some fixed interval, as in the original problem? And it's essentially that the power sums we want to be equal start at Ω(n) and not at 1, as shown by David's argument?
Nov 23, 2009 at 16:12 comment added David E Speyer Nice solution! And I think that working out those bounds were more than technical details.
Nov 23, 2009 at 2:38 history edited Greg Kuperberg CC BY-SA 2.5
underscores and stars
Nov 23, 2009 at 2:28 history edited fedja CC BY-SA 2.5
tried to fix LaTeX; added 18 characters in body
Nov 23, 2009 at 2:09 history edited fedja CC BY-SA 2.5
replace "implicit" by "inverse" as more appropriate
Nov 23, 2009 at 2:04 history answered fedja CC BY-SA 2.5