Timeline for There is a nice theory of quadratic forms. How about cubic forms, quartic forms, quintic forms, ...?
Current License: CC BY-SA 4.0
26 events
| when toggle format | what | by | license | comment | |
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| Dec 30, 2022 at 13:21 | vote | accept | Ola Sande | ||
| Apr 4 at 17:12 | |||||
| S Oct 22, 2022 at 17:07 | history | bounty ended | CommunityBot | ||
| S Oct 22, 2022 at 17:07 | history | notice removed | CommunityBot | ||
| S Oct 14, 2022 at 15:49 | history | bounty started | Ola Sande | ||
| S Oct 14, 2022 at 15:49 | history | notice added | Ola Sande | Draw attention | |
| Sep 25, 2022 at 18:27 | comment | added | Ola Sande | One distinction not yet mentioned between quadratic forms and the other forms is the fact that spheres are described by quadratic polynomials on the form $x_0^2+x_1^2+\ldots+x_n^2=1.$ Many (most) topological spaces of interest are built from spheres and many (most) cohomology theories of interest are modules over the sphere spectrum. | |
| Sep 16, 2022 at 17:16 | comment | added | Massimo Ortolano | I'm not a mathematician, but in physics and engineering quadratic forms represent quantities like power and energy, and so quadratic forms are certainly more interesting from the point of view of the applications. | |
| Sep 16, 2022 at 11:28 | comment | added | Tom Copeland | I suspect a closely related question is "What is the importance of the harmonic oscillator and Hooke's law in physics?" Consider the Hamiltonian. And, ". . . the plane and curvature in differential geometry?" | |
| Sep 15, 2022 at 17:53 | answer | added | Zach Teitler | timeline score: 3 | |
| Sep 15, 2022 at 13:58 | answer | added | user44143 | timeline score: 7 | |
| Sep 15, 2022 at 11:28 | answer | added | Donu Arapura | timeline score: 4 | |
| Sep 14, 2022 at 18:11 | answer | added | Kapil | timeline score: 4 | |
| Sep 14, 2022 at 13:48 | answer | added | LeechLattice | timeline score: 5 | |
| S Sep 14, 2022 at 12:50 | history | suggested | Rand al'Thor | CC BY-SA 4.0 |
improved grammar and formatting
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| Sep 14, 2022 at 12:44 | answer | added | Timothy Chow | timeline score: 6 | |
| Sep 14, 2022 at 12:05 | review | Suggested edits | |||
| S Sep 14, 2022 at 12:50 | |||||
| Sep 13, 2022 at 21:28 | history | became hot network question | |||
| Sep 13, 2022 at 17:17 | answer | added | Qiaochu Yuan | timeline score: 29 | |
| Sep 13, 2022 at 15:25 | review | Close votes | |||
| Sep 16, 2022 at 9:26 | |||||
| Sep 13, 2022 at 15:24 | answer | added | Denis Serre | timeline score: 17 | |
| Sep 13, 2022 at 15:00 | comment | added | Timothy Chow | In general, determining whether or not a Diophantine equation of degree 4 has any solutions is already an undecidable problem, by results on Hilbert's tenth problem. This doesn't mean one can't say anything about quartic forms, but it illustrates that the questions get very hard very fast. | |
| Sep 13, 2022 at 14:46 | history | edited | KConrad | CC BY-SA 4.0 |
deleted 1 character in body; edited title
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| Sep 13, 2022 at 14:04 | comment | added | Daniel Loughran | Of course all these objects are studied in great detail and various generalities. The main difference with the theory of quadratic forms is that they are more complicated and the theory is less complete. | |
| Sep 13, 2022 at 14:04 | answer | added | KConrad | timeline score: 80 | |
| Sep 13, 2022 at 13:34 | history | edited | Ola Sande | CC BY-SA 4.0 |
added 71 characters in body; edited title
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| Sep 13, 2022 at 13:28 | history | asked | Ola Sande | CC BY-SA 4.0 |