Timeline for A question regarding polynomials whose roots satisfy certain algebraic relation
Current License: CC BY-SA 2.5
7 events
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| Sep 27, 2010 at 17:31 | comment | added | J. M. isn't a mathematician | @Vagabond: as I said, Gröbner bases are widely applied in solving algebraic problems symbolically. My case was concerned with systematically determining the Cartesian equation of an algebraic plane curve represented parametrically or in polar coordinates. I was able to apply a few tricks from school, but learning how to use Gröbner bases properly still dazzled me. :) | |
| Sep 27, 2010 at 16:40 | comment | added | Vagabond | Thanks for the link J.M and the references. Just a mild curiosity, you said you were thinking about a similar question, if you do not mind could you explain in what context you encountered it ? | |
| Sep 27, 2010 at 13:27 | comment | added | J. M. isn't a mathematician | @Vagabond: Link fixed, thanks. I'm still learning about these myself, so I don't have all the details at hand, but the last time I asked a question of this sort, I was pointed to these books: amazon.com/dp/0387979719 and amazon.com/dp/0387356509 . | |
| Sep 27, 2010 at 13:15 | history | edited | J. M. isn't a mathematician | CC BY-SA 2.5 |
fixed bad wiki link
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| Sep 27, 2010 at 12:18 | comment | added | Vagabond | @JM the wiki link does not work, just thought would let you know so you can edit. | |
| Sep 27, 2010 at 12:14 | comment | added | Vagabond | @J.M Can you suggest a good reference for Gröbner bases, why it works? Also if you could give me a reference where such a problem has been solved using Gröbner bases? A worked out example :) The thing is I want to infer something about the entire solution set here, like if the solution set be generated by some finite number of solutions or be divisible by some polynomials etc. ? | |
| Sep 27, 2010 at 11:50 | history | answered | J. M. isn't a mathematician | CC BY-SA 2.5 |