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Article: D-resultant for rational functions
| Title | D-resultant for rational functions |
|---|---|
| Authors | |
| Keywords | Implicitization Parametric Algebraic Curve Resultant |
| Issue Date | 2002 |
| Publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc |
| Citation | Proceedings Of The American Mathematical Society, 2002, v. 130 n. 8, p. 2237-2246 How to Cite? |
| Abstract | In this paper we introduce the D-resultant of two rational functions f(t), g(t) ≤ K(t) and show how it can be used to decide if K(f(t), g(t)) = K(t) or if K[t] ⊂ K[f(t),g(t)] and to find the singularities of the parametric algebraic curve define by X = f(t),Y = g(t). In the course of our work we extend a result about implicitization of polynomial parametric curves to the rational case, which has its own interest. |
| Persistent Identifier | http://hdl.handle.net/10722/158856 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
| ISI Accession Number ID | |
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Gutierrez, J | en_US |
| dc.contributor.author | Rubio, R | en_US |
| dc.contributor.author | Yu, JT | en_US |
| dc.date.accessioned | 2012-08-08T09:03:56Z | - |
| dc.date.available | 2012-08-08T09:03:56Z | - |
| dc.date.issued | 2002 | en_US |
| dc.identifier.citation | Proceedings Of The American Mathematical Society, 2002, v. 130 n. 8, p. 2237-2246 | en_US |
| dc.identifier.issn | 0002-9939 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/158856 | - |
| dc.description.abstract | In this paper we introduce the D-resultant of two rational functions f(t), g(t) ≤ K(t) and show how it can be used to decide if K(f(t), g(t)) = K(t) or if K[t] ⊂ K[f(t),g(t)] and to find the singularities of the parametric algebraic curve define by X = f(t),Y = g(t). In the course of our work we extend a result about implicitization of polynomial parametric curves to the rational case, which has its own interest. | en_US |
| dc.language | eng | en_US |
| dc.publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc | en_US |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | en_US |
| dc.rights | First published in [Proceedings of the American Mathematical Society] in [2002, v. 130 n. 8], published by the American Mathematical Society | - |
| dc.subject | Implicitization | en_US |
| dc.subject | Parametric Algebraic Curve | en_US |
| dc.subject | Resultant | en_US |
| dc.title | D-resultant for rational functions | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Yu, JT:yujt@hku.hk | en_US |
| dc.identifier.authority | Yu, JT=rp00834 | en_US |
| dc.description.nature | published_or_final_version | en_US |
| dc.identifier.doi | 10.1090/S0002-9939-02-06331-1 | en_US |
| dc.identifier.scopus | eid_2-s2.0-0036677812 | en_US |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0036677812&selection=ref&src=s&origin=recordpage | en_US |
| dc.identifier.volume | 130 | en_US |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.spage | 2237 | en_US |
| dc.identifier.epage | 2246 | en_US |
| dc.identifier.isi | WOS:000175300300008 | - |
| dc.publisher.place | United States | en_US |
| dc.identifier.scopusauthorid | Gutierrez, J=7401652951 | en_US |
| dc.identifier.scopusauthorid | Rubio, R=7102671175 | en_US |
| dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_US |
| dc.customcontrol.immutable | csl 140330 | - |
| dc.identifier.issnl | 0002-9939 | - |