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Old 04-18-2013, 04:44 PM
Elroch Elroch is offline
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Join Date: Mar 2013
Posts: 143
Default Re: A little puzzle

Forgive me if it wasn't clear. There is exactly one hypothesis for each positive integer n, as described in the first post.

Intuitively, each hypothesis (i.e. permitted subset of \{1, 2, 3, ...\} )is an alternating sequence of "black" and "white" intervals of equal size starting at 1, and continuing indefinitely. "Black" = +1 = inclusion in the set, and "white" = -1 = exclusion from the set.


Do remember you have great freedom as to how to choose a set of N points. Use it well.

A good attack might be to try to shatter sets for increasing N from N=1 upward.
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