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  #11  
Old 04-20-2013, 11:40 AM
Elroch Elroch is offline
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Default Re: A little puzzle

On reflection, it makes more sense to prove the slightly stronger result when you pick N points randomly (with uniform distribution) from the the first M points. i.e. by picking M big enough, you can ensure the probability of the points not being shattered is as small as you wish.
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  #12  
Old 04-20-2013, 08:09 PM
Michael Reach Michael Reach is offline
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Default Re: A little puzzle

I hear you; good point. I note that there is an problem in Chapter 2 that reminds me of this one. (I don't have the book in front of me but it uses the "floor" function of an exponent.)
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