Timeline for Expected absolute value of the average of two points from the disc
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2021 at 16:55 | answer | added | esg | timeline score: 4 | |
| Jun 22, 2021 at 6:47 | vote | accept | Moritz Firsching | ||
| Jun 20, 2021 at 14:52 | comment | added | Gabe K | This phenomena also appears in another problem about drawing from a disk (or $n$-ball), which is the probability that the uniformly drawn points form the vertices of an acute triangle. See "Acute Triangles in the n-Ball" by Glen Hall for details on that. | |
| Jun 20, 2021 at 14:50 | comment | added | Gabe K | It would take some computation to prove, but it shouldn't be too surprising for exp_abs(n) $\in \mathbb{Q}(\pi)$. In particular, you can obtain the distribution of the averages of $n$ uniformly drawn points by repeatedly convolving the uniform measure with itself (and then scaling). This will introduce $\pi$ everywhere but it's conceivable that all the other constants are rational . | |
| Jun 18, 2021 at 20:36 | history | became hot network question | |||
| Jun 18, 2021 at 17:25 | answer | added | Michael Lugo | timeline score: 3 | |
| Jun 18, 2021 at 13:04 | answer | added | Timothy Budd | timeline score: 13 | |
| Jun 18, 2021 at 12:46 | history | edited | Moritz Firsching | CC BY-SA 4.0 |
missing right abs
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| Jun 18, 2021 at 12:34 | history | asked | Moritz Firsching | CC BY-SA 4.0 |