Timeline for Estimate the expected distance between two random points on the unit $n$-sphere [duplicate]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Nov 22, 2020 at 15:01 | comment | added | Daniel Lichtblau | Disregard my comment, I was not thinking it through clearly. | |
| Nov 22, 2020 at 11:07 | comment | added | Penelope Benenati | @DanielLichtblau Why? (BTW, below you get the answer). | |
| Nov 22, 2020 at 1:40 | comment | added | Daniel Lichtblau | So the expected or average distance has to be one (that being the radius), right? | |
| Nov 21, 2020 at 19:48 | history | closed |
ciao CommunityBot |
Duplicate of Estimation of the expected Euclidean distance between two random points on a unit $n$-hemisphere | |
| Nov 21, 2020 at 19:45 | comment | added | Penelope Benenati | @ciao I wanted an answer for the sphere to solve (later by myself) the problem on the hemisphere. On this page, below the answer I selected, there is a discussion where the person who answered (Roman) wrote, "Yes I think that it should be a new question, it's too different from this one" while talking about the difference between this question and the one about the hemisphere. Now I also got an answer for the hemisphere in the question linked in your message. Anyway, I think there are interesting discussions even here, below, and I learned useful techniques by reading the answers here too. | |
| Nov 21, 2020 at 18:09 | answer | added | Joshua Schrier | timeline score: 1 | |
| Nov 21, 2020 at 17:10 | history | edited | Penelope Benenati | CC BY-SA 4.0 |
added 41 characters in body
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| Nov 21, 2020 at 17:09 | comment | added | Penelope Benenati | @DanielLichtblau I am referring to the Euclidean distance in the $(n+1)$-dimensional space (not the great-circle distance). | |
| Nov 21, 2020 at 17:07 | comment | added | Penelope Benenati | @DanielHuber An $n$-sphere is the surface of an $(n + 1)$-dimensional ball. | |
| Nov 21, 2020 at 16:23 | comment | added | Daniel Huber | Are the points inside the sphere or on the surface? | |
| Nov 21, 2020 at 16:23 | vote | accept | Penelope Benenati | ||
| Nov 21, 2020 at 16:18 | comment | added | Daniel Lichtblau | To clarify, do you mean distance in Euclidean n+1 space or distance on the sphere itself? | |
| Nov 21, 2020 at 16:13 | answer | added | Roman | timeline score: 3 | |
| Nov 21, 2020 at 15:21 | answer | added | flinty | timeline score: 2 | |
| Nov 21, 2020 at 14:56 | history | asked | Penelope Benenati | CC BY-SA 4.0 |