Timeline for A path in the unit square that "doubles back" on itself in a nice way
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 9, 2017 at 22:28 | vote | accept | Tom Solberg | ||
| Nov 9, 2017 at 1:39 | answer | added | fedja | timeline score: 6 | |
| Nov 8, 2017 at 22:18 | comment | added | user44143 | By the way, for a car like this — with several people going to several destinations by getting on and off at different points on a fixed path — the usual term is a bus. | |
| Nov 8, 2017 at 21:49 | answer | added | user44143 | timeline score: 1 | |
| Nov 8, 2017 at 17:13 | comment | added | Dirk | @fedja Oh, yes, you are right! | |
| Nov 8, 2017 at 17:11 | comment | added | fedja | @Dirk The quantifiers are "for every $x$ there exist $p_1,p_2$, not "for every $x,p_1,p_2$", so I do not see how your remark is relevant. The only obvious thing is that the minimal length is of order $\sqrt a$ for large $a$, but at the moment I can hardly say anything else... | |
| Nov 8, 2017 at 17:04 | answer | added | Joseph O'Rourke | timeline score: 3 | |
| Nov 8, 2017 at 16:43 | comment | added | Dirk | Could such a curve be differentiable? I suspect not since then the curve would be locally almost linear and $p_1\to p_2$ should give a quotient $d_P(p_1,p_2)/(\|p_1-x\|+\|p_2-x\|)\to 1$ for $x= (p_1+p_2)/2$. | |
| Nov 8, 2017 at 15:12 | history | asked | Tom Solberg | CC BY-SA 3.0 |