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Feb 3, 2019 at 4:07 comment added Iosif Pinelis I have added a response to your latter comment.
Feb 3, 2019 at 3:57 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 3, 2019 at 2:18 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 2, 2019 at 16:16 comment added dohmatob I take back my last sentence. What about for $\epsilon \le \sqrt{2\log(1/\mu(B))}$ ? There is decrease. No ?
Feb 1, 2019 at 14:18 comment added dohmatob OK, I definitely think my question is not very well stated, and doesn't convey what I'm getting at. I'll try to fix it asap. Thanks for the input!
Feb 1, 2019 at 14:06 comment added Iosif Pinelis Oh ... I missed that condition. I have now updated the answer, in which that condition changes almost nothing.
Feb 1, 2019 at 14:03 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 1, 2019 at 12:57 comment added dohmatob My question requires $\mu(B) > 0$, which is not the case in the counterexample you're proposing. No ?
Feb 1, 2019 at 12:40 history answered Iosif Pinelis CC BY-SA 4.0