User anon - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T15:44:36Z http://mathoverflow.net/feeds/user/18858 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/79704/is-there-a-fair-coin/79715#79715 Answer by Anon for Is there a fair coin? Anon 2011-11-01T14:13:26Z 2011-11-01T14:13:26Z <p>Maybe you are thinking of "Dynamical Bias in the Coin Toss" by Diaconis, Holmes, and Montgomery? They show that the same side you started with is slightly biased to come up when you flip an actual physical coin.</p> http://mathoverflow.net/questions/79399/what-element-of-pi-2s2-do-rational-functions-represent What element of $\pi_2(S^2)$ do rational functions represent? Anon 2011-10-28T15:28:03Z 2011-10-28T17:21:39Z <p>Take a rational function of a single complex variable. View it as a continuous function from the Riemann sphere to itself. Is there a nice way to compute which element of $\pi_2(S^2)$ this corresponds to?</p> http://mathoverflow.net/questions/80074/commuting-grothendieck-topologies Comment by Anon Anon 2011-11-04T18:21:36Z 2011-11-04T18:21:36Z You should probably note that this is very similar to, but not identical to, <a href="http://mathoverflow.net/questions/8115/does-sheafification-preserve-sheaves-for-a-different-topology" rel="nofollow" title="does sheafification preserve sheaves for a different topology">mathoverflow.net/questions/8115/&hellip;</a> http://mathoverflow.net/questions/79704/is-there-a-fair-coin/79715#79715 Comment by Anon Anon 2011-11-01T16:51:12Z 2011-11-01T16:51:12Z Ah I see. I didn't click on the link, and since Tom only wrote about the fact that the weighting of the coin doesn't matter, I assumed that is what the paper he linked to was about. Feel free to downvote away! http://mathoverflow.net/questions/79704/is-there-a-fair-coin/79715#79715 Comment by Anon Anon 2011-11-01T15:53:19Z 2011-11-01T15:53:19Z Why the minus?? http://mathoverflow.net/questions/79712/associated-sheaf-functor-doesnt-preserve-arbitrary-products Comment by Anon Anon 2011-11-01T14:16:41Z 2011-11-01T14:16:41Z Homework? And what associated sheaf functor? Do you mean the sheafification functor from presheaves to sheaves? Or something else? Are you allowing sheaves over sites (it seems you must be because you talk about providing an example of sheaves over a topological space)? Finally, if you think you have an example - actually give your example!