Timeline for Application for functions of the shape $r = f(\theta)$
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2022 at 19:26 | review | Close votes | |||
| Nov 13, 2022 at 3:03 | |||||
| Nov 8, 2022 at 15:33 | answer | added | user142929 | timeline score: -1 | |
| May 1, 2014 at 17:56 | comment | added | Brian Rushton | You should consider re-asking this question at matheducators.stackexchange.com | |
| Dec 22, 2013 at 12:29 | comment | added | user6891 | unbounded normal operators. Where did Fourier series and spherical functions come from if not from here and where would mathematics be without them? The potential usefulness of a parametrisation as in the OP in the presence of central symmetry seems pretty obvious to me and, of course, it is the exploitation of this and more sophisticated symmetries which lie at the centre of the above and many more key mathematical theories and concepts. | |
| Dec 22, 2013 at 12:17 | comment | added | user6891 | With respect, I have to disagree strongly with the first comment, especially the final sentence thereof. Surely one of the BIG themes of mathematics is the use of special frames for specific problems---think canonical forms. Examples: the Jordan canonical form, the spectral theorem for normal matrices, bounded and | |
| Dec 21, 2013 at 21:39 | answer | added | Victor Protsak | timeline score: 2 | |
| Dec 21, 2013 at 21:02 | vote | accept | Stanley Yao Xiao | ||
| Dec 21, 2013 at 19:55 | comment | added | Joe Silverman | If you want a specific example, the central piece of the Mandelbrot set is a cardiod. So that's an important place where a cardiod appears, and as you noted, probably the easiest way to describe a cardiod is via an $r=f(\theta)$ equation. | |
| Dec 21, 2013 at 19:36 | answer | added | user6891 | timeline score: 6 | |
| Nov 28, 2013 at 15:20 | answer | added | Alexandre Eremenko | timeline score: 0 | |
| Nov 28, 2013 at 14:39 | comment | added | Mariano Suárez-Álvarez | Curves show up all over the place, and having many ways to describe them is undoubtedly good, isn't it? Beyond that, I really cannot see what you expect as an answer! I know a proof of the isoperimetric inequality using polar coordinates and Fourier series: does that count as an application? A change of coordinates cannot have «importance» in a mathematical field in any sensible sense, I think. | |
| Nov 28, 2013 at 14:22 | history | asked | Stanley Yao Xiao | CC BY-SA 3.0 |