Timeline for Decreasing magnitude of spherical centroid
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 30, 2022 at 4:03 | comment | added | Iosif Pinelis | @AaronGoldsmith : I guess similar ideas can work for spherical simplices, but I have not looked into that. Do you want to post such a question, about spherical simplices, separately? | |
| Aug 30, 2022 at 3:20 | comment | added | Aaron Goldsmith | Thanks Iosif for filling it out! I guess you could say that this had to do with the difference in shapes. Skinny diamonds are more concentrated around the middle than skinny rectangles. Originally, I had thought the statement to be true when $S$ and $R$ are both spherical simplices, and this would be nearly as satisfying as only requiring convex. Can you think of any counterexamples involving spherical simplices, or perhaps a good idea for how to proceed with a proof? I've thought about the problem long enough and keep running into something like Simpson's paradox as I'm averaging. Thanks! | |
| Aug 24, 2022 at 21:46 | history | bounty ended | Aaron Goldsmith | ||
| Aug 24, 2022 at 21:43 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |