Timeline for Prove that the Euclidean distance is no more than the spherical distance
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Nov 3, 2022 at 18:37 | history | bounty ended | C Squared | ||
| S Nov 3, 2022 at 18:37 | history | notice removed | C Squared | ||
| Nov 3, 2022 at 8:03 | vote | accept | jwguan | ||
| Nov 1, 2022 at 22:17 | comment | added | mr_e_man | "and $|\phi_i(\mathbf x)-\phi_i(\mathbf y)|$ is exactly the length of the arc" - No, the arc is generally shorter. E.g. near the north pole, two points at the same latitude can have very different longitudes, but the arc length is small. | |
| Nov 1, 2022 at 0:09 | history | edited | Apass.Jack | CC BY-SA 4.0 | Define y_i explicitly. |
| Oct 30, 2022 at 4:35 | history | edited | Apass.Jack | CC BY-SA 4.0 | Fixed a typo. |
| Oct 30, 2022 at 2:41 | answer | added | Apass.Jack | timeline score: 6 | |
| Oct 28, 2022 at 15:00 | history | tweeted | twitter.com/StackMath/status/1586009901687513092 | ||
| Oct 28, 2022 at 9:35 | comment | added | Ѕᴀᴀᴅ | @jwguan It's not a matter about naming. The point is that even for $S^1$ the definition is not natural, e.g. $φ(\cos θ,-\sin θ)=2\mathrm π-θ$ for small $θ$ and $\|φ(\cos θ,-\sin θ)-φ(1,0)\|=2\mathrm π-θ$, but the distance should be more naturally defined to be $θ$. | |
| Oct 28, 2022 at 9:00 | comment | added | jwguan | @Ѕᴀᴀᴅ Thanks. Can you suggest it a better name? | |
| Oct 28, 2022 at 8:54 | answer | added | Christophe Leuridan | timeline score: 4 | |
| Oct 28, 2022 at 7:03 | answer | added | Idontgetit | timeline score: 1 | |
| Oct 28, 2022 at 6:49 | comment | added | Ѕᴀᴀᴅ | That's an usual definition of "spherical distance." | |
| S Oct 28, 2022 at 6:35 | history | bounty started | C Squared | ||
| S Oct 28, 2022 at 6:35 | history | notice added | C Squared | Draw attention | |
| Sep 27, 2022 at 9:20 | comment | added | jwguan | @CalvinKhor Yes, I do mean this. | |
| Sep 27, 2022 at 9:10 | history | edited | jwguan | CC BY-SA 4.0 | deleted 1 character in body |
| Sep 27, 2022 at 9:08 | history | edited | jwguan | CC BY-SA 4.0 | added 240 characters in body |
| Sep 27, 2022 at 9:06 | comment | added | Calvin Khor | Just checking, by $\|v\|_1$ do you mean $|v_1|+\dots +|v_n|$? | |
| Sep 27, 2022 at 9:03 | history | edited | jwguan | edited tags | |
| S Sep 27, 2022 at 9:01 | review | First questions | |||
| Sep 27, 2022 at 9:01 | |||||
| S Sep 27, 2022 at 9:01 | history | asked | jwguan | CC BY-SA 4.0 |