Timeline for Lipschitz-regularity of partition of unity
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 30, 2023 at 1:01 | comment | added | Willie Wong | I used the square because that's what is used in the original question. @shuhalo Your question is probably better directed to the OP. | |
| Aug 29, 2023 at 15:38 | comment | added | shuhalo | Is there a specific reason why one would use the squares of the distance functions rather than the distance functions themselves? | |
| Aug 24, 2023 at 22:50 | comment | added | shuhalo | This has kept me busy for a day. The Lipschitz constant can also be written $6 \sqrt{N} / \delta_1$, which looks like a much better upper bound than what the published literature. Then it finally dawned on me that $\delta_1$ is quite a conservative lower bound for the Lebesgue number. It may generally only be the $N$-th part of the best possible Lebesgue number $\delta_\ast$. The best known bounds actually scale like $N / \delta_\ast$. | |
| Jun 16, 2022 at 19:56 | history | bounty ended | Carlos_Petterson | ||
| Jun 16, 2022 at 19:56 | vote | accept | Carlos_Petterson | ||
| Jun 16, 2022 at 19:20 | history | answered | Willie Wong | CC BY-SA 4.0 |