David Speyer comments on "sin(n)" (10324)

David Speyer — Sun, 07 Nov 2010 17:45:19 -0800

Yeah, this problem is definitely more appropriate for math.SE .

Qiaochu Yuan comments on "sin(n)" (10317)

Qiaochu Yuan — Sun, 07 Nov 2010 13:09:20 -0800

This question is much easier; I agree that it belongs on math.SE and accordingly I gave a hint there without mentioning the main part of the argument.

Will Jagy comments on "sin(n)" (10314)

Will Jagy — Sun, 07 Nov 2010 12:34:13 -0800

I voted to close
http://mathoverflow.net/questions/45205/sinn-subsequence-limits-set
primarily because I was annoyed at being asked to participate in a classroom challenge, the professor has some pedagogical purpose in getting the kids to struggle with this.

But there was a recent similar thing on cos( n!) or the like, so I thought I would also mention it here.

The book by Munkres discusses compactness, limit point compactness, and sequential compactness. For homework we were told to finish the proof that the product of two compact spaces was compact, analogous for the other two notions. I couldn't get the middle one, the professor had accidentally asked for a proof of a false statement. He was really happy with me, everyone else proved it. Anyway, educational, you see, though not intentional.

EDIT: well, it seems to be gone. The comment before mine suggested math.stackexchange, I suggested the kid work on it a while.

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David Speyer comments on "sin(n)" (10324)

Qiaochu Yuan comments on "sin(n)" (10317)

Will Jagy comments on "sin(n)" (10314)