Timeline for Expected absolute value of the average of two points from the disc
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25, 2021 at 19:28 | comment | added | Moritz Firsching | Wow! That's just great. | |
| Jun 25, 2021 at 18:49 | comment | added | esg | @Moritz Firsching: I have now found the exact value of $\operatorname{exp\_abs}(3)$ via an amazing result of Borwein and co-workers, please see above. | |
| Jun 25, 2021 at 18:45 | history | edited | esg | CC BY-SA 4.0 |
typo corrected
|
| Jun 25, 2021 at 17:13 | history | edited | esg | CC BY-SA 4.0 |
Added part on exact value
|
| Jun 24, 2021 at 7:38 | comment | added | Moritz Firsching | That's cool! Is there a fast way of calculating more digits here? I tried a bit, but only found $2.71808124147..$. I guess one could only integrate over $[0,1]$ for the first integral and then multiply by $2$, because of symmetry. When only integrating over positive orthant $[0, 1]^3$, one can solve it symbolically to get $\frac{pi^2}{16}$, for orthants with mixed signs it seems to be more challenging to solve it symbolically. | |
| Jun 22, 2021 at 16:55 | history | answered | esg | CC BY-SA 4.0 |