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# Keith Brian Johnson's Discussions (115)

Discussions Replied To (13) Replies Latest Activity

### "Do you have in mind that all open subsets may be expressed as the union of disjoint…"

Keith Brian Johnson replied Apr 19, 2014 to Puzzle in real analysis

4 Apr 19, 2014

### "(a,b) U [b,c) is an open subset, too. Are you defining a subclass of open intervals…"

Keith Brian Johnson replied Apr 19, 2014 to Puzzle in real analysis

4 Apr 19, 2014

### "I'll happily grant that the Abel sum matches the usual sum (I assume you mean the su…"

Keith Brian Johnson replied Mar 2, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I'm sorry to say that I never learned enough about analytic continuation or about th…"

Keith Brian Johnson replied Feb 28, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I would buy this: 1 - 1/4 + 1/16 - 1/64 + 1/256 -+... = 1/ (1 + 1/4) = 4/5 1 - 1/2 +…"

Keith Brian Johnson replied Feb 28, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "OK, two things: First, we have to go back further than that particular series, becau…"

Keith Brian Johnson replied Feb 26, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I'm sorry--I didn't realize there was a video I was supposed to watch. I see it now.…"

Keith Brian Johnson replied Feb 26, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "Why would anyone ever use such an obviously ridiculous sum instead of saying, "Wait…"

Keith Brian Johnson replied Feb 26, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "Was the first line's sum supposed to be 1 - 2 + 3 - 4 + 5 - 6 + 7 -+ = -1/12?"

Keith Brian Johnson replied Feb 15, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I wish I had known someone like you when I was taking analysis at Penn State. Maybe…"

Keith Brian Johnson replied Jan 5, 2014 to Speaking of math errors ...

3 Jan 5, 2014

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