Timeline for A quadratic form pair
Current License: CC BY-SA 3.0
35 events
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| Oct 9, 2013 at 18:29 | comment | added | Turbo | Yes that is what I am talking about the sphere. It is set of equal distant(Euclidean) points from the center. | |
| Oct 9, 2013 at 18:28 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 18:28 | comment | added | Turbo | @FelipeVoloch Now I see what Margaux is talking about. Apologize for the poor description. Will change it. | |
| Oct 9, 2013 at 18:23 | comment | added | Felipe Voloch | What's a sphere? Is it the set of points equidistant from the center? Then what is the metric? Or is it something else? What happens if your field $\mathbb{F}$ is the rationals and the zero sets are empty? | |
| Oct 9, 2013 at 18:00 | comment | added | Turbo | removed the confusing abs value notation. | |
| Oct 9, 2013 at 17:59 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 17:46 | comment | added | Turbo | $|x|_i$ sum of ith powers of coordinates. | |
| Oct 9, 2013 at 17:45 | comment | added | Turbo | yes $|x|_i$ could be negative or imaginary; all that matters is there should be a point on the other quad form such that the sum of coordnates become somethinmg specific. | |
| Oct 9, 2013 at 17:43 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 17:42 | comment | added | Marguax | Since you have completely eliminated $t$, now it is much clearer. But the definitions of $|x|_i$ aren't non-negative when $\mathbb{F}=\mathbb{C}$, and even $|x|_1$ isn't when $\mathbb{F}=\mathbb{R}$ since you do not speak of absolute values there, so please be much clearer about exactly what is $\mathbb{F}$ (no notion of absolute value for a general char. 0 field, by the way). I also recommend again that you give some motivation for this question, as it looks quite artificial otherwise. | |
| Oct 9, 2013 at 17:30 | comment | added | Turbo | @Marguax Sorry I am not a mathematician. If you could tell me what is imprecise, I can fix it. | |
| Oct 9, 2013 at 17:26 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 17:19 | comment | added | Turbo | I realized that there is a parametrization of $t$ with $s'$ which makes things more complicated. This base case now itself is interesting to me. | |
| Oct 9, 2013 at 17:16 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 17:09 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 17:07 | comment | added | Turbo | $\Bbb F$ is just a char $0$ ground field. Say $\Bbb C$ or $\Bbb R$. $\hat{s}$ is allowed to vary. $t$ is fixed to be be an integer less than $s+\hat{s}$. | |
| Oct 9, 2013 at 16:59 | comment | added | Marguax | Some motivation and clearer notation (e.g., what is $\mathbb{F}$??) would improve this a lot. The specification of what is allowed to vary (e.g., $t$?) needs to be clarified a lot too. Try to present this question to someone in person to find out how imprecise its formulation is. | |
| Oct 9, 2013 at 16:19 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 15:03 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 15:03 | history | undeleted | Turbo | ||
| Oct 9, 2013 at 15:00 | history | deleted | Turbo | via Vote | |
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| Oct 9, 2013 at 14:34 | history | deleted | Turbo | via Vote | |
| Oct 9, 2013 at 14:09 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 14:04 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 13:54 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 13:41 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 13:33 | history | edited | Turbo | CC BY-SA 3.0 |
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| Oct 9, 2013 at 13:30 | history | undeleted | Turbo | ||
| Oct 9, 2013 at 13:21 | history | deleted | Turbo | via Vote | |
| Oct 9, 2013 at 13:16 | history | undeleted | Turbo | ||
| Oct 9, 2013 at 4:23 | history | deleted | Turbo | via Vote | |
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| Oct 9, 2013 at 4:20 | history | deleted | Turbo | via Vote | |
| Oct 9, 2013 at 4:17 | history | asked | Turbo | CC BY-SA 3.0 |