Clifford algebraic reduction method for automated theorem proving in differential geometry
文献类型：期刊论文
| 作者 | Li, HB; Cheng, MT |
| 刊名 | JOURNAL OF AUTOMATED REASONING
 |
| 出版日期 | 1998-08-01 |
| 卷号 | 21期号:1页码:1-21 |
| 关键词 | Wu's method Clifford algebra equation set solving local theory of space curves |
| ISSN号 | 0168-7433 |
| 英文摘要 | In this paper a new method is proposed for mechanically proving theorems in the local theory of space curves. The method is based on Ritt-Wu's well-ordering principle of ordinary differential polynomials, Clifford algebraic representation of Euclidean space and equation set solving in Clifford algebra formalism. It has been tested by various theorems and seems to be efficient. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000074512600001 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13541]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Acad Sinica, MMRC, Inst Syst Sci, Beijing 100080, Peoples R China 2.Beijing Univ, Inst Math, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, HB,Cheng, MT. Clifford algebraic reduction method for automated theorem proving in differential geometry[J]. JOURNAL OF AUTOMATED REASONING,1998,21(1):1-21. |
| APA | Li, HB,&Cheng, MT.(1998).Clifford algebraic reduction method for automated theorem proving in differential geometry.JOURNAL OF AUTOMATED REASONING,21(1),1-21. |
| MLA | Li, HB,et al."Clifford algebraic reduction method for automated theorem proving in differential geometry".JOURNAL OF AUTOMATED REASONING 21.1(1998):1-21. |
入库方式： OAI收割
来源：数学与系统科学研究院
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