Timeline for Area of union of random circles in a plane
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Sep 3, 2012 at 23:24 | comment | added | Dick Palais | You will probably get a more "natural" answer if you choose a "torus", i.e., identify opposite edges of a square, to eliminate edge effects. | |
Sep 3, 2012 at 22:29 | answer | added | Karl Fabian | timeline score: 2 | |
Sep 3, 2012 at 19:55 | history | edited | jwellens | CC BY-SA 3.0 |
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Sep 3, 2012 at 16:37 | history | edited | jwellens | CC BY-SA 3.0 |
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Sep 3, 2012 at 16:13 | comment | added | Igor Rivin | @Noam's comment is obviously the answer, with the one caveat that a non-asymptotic result will be a little tricky. | |
Sep 3, 2012 at 15:58 | comment | added | Noam D. Elkies | Compute the probability $p$ that a given point of $S$ is not hit by any of the circles (which is constant away from the edge), and multiply $1-p$ by the area of $S$. | |
Sep 3, 2012 at 15:22 | history | asked | jwellens | CC BY-SA 3.0 |