Timeline for Examples of complicated parametric Jordan curves
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2020 at 10:45 | answer | added | Daniele Tampieri | timeline score: 1 | |
| Mar 17, 2020 at 5:07 | answer | added | Wlod AA | timeline score: 0 | |
| Feb 28, 2020 at 9:48 | comment | added | Manfred Weis | @Wojowu agreed; I didn't look careful enough. Regarding what I need the curves for: I have an idea for generating a smooth function for e.g. visualising all Euclidean distances between pairs of curve points and I want to put that idea to test with non-trivial examples; that idea would also work in higher dimensions. | |
| Feb 28, 2020 at 8:03 | comment | added | Wojowu | I don't see where you need any additional restrictions. For $f$ in values in $(0,\infty)$ as I wrote you have no sign changes and no self intersections. | |
| Feb 27, 2020 at 19:53 | history | became hot network question | |||
| Feb 27, 2020 at 17:25 | comment | added | Wojowu | They would indeed be starshaped, but not knowing exactly what it is that you want to do with them, I don't know how good of a suggestion that was (hence I posted it as a comment and not as an answer). I think it should be noted that a function taking values in $(0,\infty)$ cannot have any sign changes :) | |
| Feb 27, 2020 at 17:09 | vote | accept | Manfred Weis | ||
| Feb 27, 2020 at 13:01 | comment | added | Manfred Weis | @Wojowu those functions would be starshaped and it should be noted that $f$ shouldn't have sign changes in $(0,\pi)$ | |
| Feb 27, 2020 at 12:45 | answer | added | Alexandre Eremenko | timeline score: 9 | |
| Feb 27, 2020 at 12:40 | comment | added | Wojowu | You can take any continuous (or as smooth as you desire) function $f:[0,2\pi]\to(0,\infty)$ with equal values at the end points and plot it in polar coordinates. | |
| Feb 27, 2020 at 11:46 | history | edited | Manfred Weis |
added soft question tag
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| Feb 27, 2020 at 11:39 | history | asked | Manfred Weis | CC BY-SA 4.0 |