Implicitization of differential rational parametric equations
文献类型：期刊论文
| 作者 | Gao, XS
|
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2003-11-01 |
| 卷号 | 36期号:5页码:811-824 |
| 关键词 | implicitization differential rational parametric equations unirational differential algebraic varieties Luroth theorem |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/S0747-7171(03)00068-3 |
| 英文摘要 | In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equations P. (1) To find a characteristic set for the implicit prime ideal of P. (2) To find a canonical representation for the image of P. (3) To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters. (4) To compute the inversion maps of P, and as a consequence, to decide whether P is proper. If the implicit variety is of dimension one and P is not proper, to find a proper re-parameterization for P. (C) 2003 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000186484500005 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19127]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Gao, XS |
| 作者单位 | Acad Sinica, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, XS. Implicitization of differential rational parametric equations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2003,36(5):811-824. |
| APA | Gao, XS.(2003).Implicitization of differential rational parametric equations.JOURNAL OF SYMBOLIC COMPUTATION,36(5),811-824. |
| MLA | Gao, XS."Implicitization of differential rational parametric equations".JOURNAL OF SYMBOLIC COMPUTATION 36.5(2003):811-824. |
入库方式： OAI收割
来源：数学与系统科学研究院
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