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Jun 27, 2023 at 17:23 comment added Abhimanyu Pallavi Sudhir I think this in some sense the most general way of thinking of the Pythagorean theorem.
Dec 31, 2014 at 17:36 answer added user45183 timeline score: 2
Dec 31, 2014 at 17:14 history edited Exterior CC BY-SA 3.0
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Dec 31, 2014 at 12:35 answer added kjetil b halvorsen timeline score: 3
Dec 31, 2014 at 11:10 vote accept Exterior
Dec 30, 2014 at 22:29 answer added Abdelmalek Abdesselam timeline score: 13
Dec 30, 2014 at 21:51 answer added j.c. timeline score: 5
Dec 30, 2014 at 21:05 comment added kaleidoscop there you go (I had to upvote, though... :)
Dec 30, 2014 at 21:03 history edited Exterior CC BY-SA 3.0
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Dec 30, 2014 at 20:58 comment added Exterior @kaleidoscop I don't know what the precise meaning is, that's what I'm trying find out. Also, could you please remove your downvote? :)
Dec 30, 2014 at 20:50 comment added kaleidoscop that's right I read too quickly, sorry. So an orbit is the class of all $\mu\star\nu$ for fixed $\mu$ and $\nu$ a probability measure. So what does it mean for the Gaussian distribution "to be the fixed point of each orbit"?
Dec 30, 2014 at 20:37 comment added Exterior @kaleidoscop, assuming one of the downvotes was yours, consider actually reading questions.
Dec 30, 2014 at 18:07 comment added Yemon Choi @kaleidoscop Really? So what action is being considered when they speak of fixed points of orbits? Are you referring to the fact that the convolution of independent Gaussians is again a Gaussian?
Dec 30, 2014 at 17:55 review Close votes
Jan 3, 2015 at 5:58
Dec 30, 2014 at 17:42 comment added Exterior I asked here because my professor (who is a renowned probablist) said he only saw this in a seminar, and he didn't know any books which describe this result. In light of this, I don't see why my question merits a downvote. Also, most measure theory books do not even mention probability.
Dec 30, 2014 at 17:36 comment added kaleidoscop This is not a research level question, but I know this result is proved in most measure theory books around the chapter of convolution
Dec 30, 2014 at 17:27 history edited Exterior CC BY-SA 3.0
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Dec 30, 2014 at 15:15 history asked Exterior CC BY-SA 3.0