Timeline for Ping-pong relief map of a given function z=f(x,y)
Current License: CC BY-SA 3.0
12 events
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Jul 31, 2017 at 16:40 | comment | added | Joseph O'Rourke | @PerAlexandersson : Perhaps one could shift the pegs slightly to obtain the correct weighting. | |
Jul 31, 2017 at 13:08 | comment | added | Per Alexandersson | If all balls are dropped from the center, any pin configuration would put half of the mass on either side of the center, or am I mistaken? Thus, you might need to allow dropping balls from several locations, which defeats the purpose a bit I suppose... Perhaps one can allow ball sources to be equal the number of peaks or something... | |
Jul 31, 2017 at 11:49 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
deleted 48 characters in body; edited tags; edited title
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Jul 6, 2011 at 20:27 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Labeled the final question and added history tag, as that aspect has attracted some interest...
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Jul 6, 2011 at 20:24 | comment | added | Anthony Quas | PS: Hawking would be recognizable... | |
Jul 6, 2011 at 20:23 | comment | added | Anthony Quas | If you take a convolution of your favourite smooth function with a normal distribution with mean 0 and small standard deviation, then you get essentially your function back. This convolution though can be approximated by a finite mixture of normal distributions. | |
Jul 6, 2011 at 18:44 | answer | added | Gerhard Paseman | timeline score: 2 | |
Jul 6, 2011 at 18:41 | comment | added | Douglas Zare | For Q1, there are restrictions beyond positivity even for smooth functions if you want equality. The tails of any convex combination of normal distributions do not drop too rapidly, so $\exp(-x^4)$ is not a convex combination of normal distributions. You might approximate it arbitrarily well, though. | |
Jul 6, 2011 at 16:39 | comment | added | drbobmeister | Most people won't even recognize Newton! | |
Jul 6, 2011 at 14:31 | comment | added | Qiaochu Yuan | Nice question! But would people recognize any mathematician's face aside from, perhaps, Newton? | |
Jul 6, 2011 at 13:21 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |