Timeline for Is this a smooth approximation to the $\ell$-infinity distance actually a quasi-metric?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 23, 2023 at 4:13 | vote | accept | Justin_other_PhD | ||
| Jun 22, 2023 at 14:37 | history | edited | YCor | CC BY-SA 4.0 |
formatting, added tag
|
| Jun 22, 2023 at 14:23 | answer | added | Iosif Pinelis | timeline score: 1 | |
| Jun 22, 2023 at 3:10 | comment | added | Justin_other_PhD | hmm but then would we not need a lower-bound also, of the form $\|u-z\|_{\infty}\lesssim d_{\lambda}(z,u)$ (for $u,z\in\{x,y,z\}$) to get the conclusion (here I hide absolute constants by $\lesssim$)? | |
| Jun 22, 2023 at 2:47 | comment | added | Mark Schultz-Wu | Oh, the lipschitz constant instead bounds the quality of the approximation $d_\lambda(x,y) \leq C \lVert x-y\rVert_\infty$. | |
| Jun 22, 2023 at 1:34 | comment | added | Justin_other_PhD | @Mark I can't see why, I initially thought so but... | |
| Jun 22, 2023 at 1:30 | comment | added | Mark Schultz-Wu | Isn't $C$ just the lipschitz constant of $m_\lambda$? | |
| Jun 22, 2023 at 0:27 | history | asked | Justin_other_PhD | CC BY-SA 4.0 |