KMS Of Academy of mathematics and systems sciences, CAS
PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE | |
CHOU, SC; GAO, XS | |
1992 | |
发表期刊 | LECTURE NOTES IN ARTIFICIAL INTELLIGENCE |
卷号 | 607页码:20-34 |
摘要 | This paper presents a method to generate non-degenerate conditions in geometric form for a class of geometry statements of constructive type, called Class C. We prove a mathematical theorem that in the irreducible case, the non-degenerate conditions generated by our method are sufficient for a geometry statement in Class C to be valid in metric geometry. About 400 among 600 theorems proved by our computer program are in Class C. |
关键词 | GEOMETRY THEOREM PROVING WU METHOD NONDEGENERATE CONDITION GENERALLY TRUE CONSTRUCTIVE GEOMETRY STATEMENT EUCLIDEAN GEOMETRY METRIC GEOMETRY ALGEBRAICALLY CLOSED FIELD |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence |
WOS记录号 | WOS:A1992KV19500004 |
出版者 | SPRINGER VERLAG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/27689 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | CHOU, SC |
作者单位 | CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | CHOU, SC,GAO, XS. PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE[J]. LECTURE NOTES IN ARTIFICIAL INTELLIGENCE,1992,607:20-34. |
APA | CHOU, SC,&GAO, XS.(1992).PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE.LECTURE NOTES IN ARTIFICIAL INTELLIGENCE,607,20-34. |
MLA | CHOU, SC,et al."PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE".LECTURE NOTES IN ARTIFICIAL INTELLIGENCE 607(1992):20-34. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[CHOU, SC]的文章 |
[GAO, XS]的文章 |
百度学术 |
百度学术中相似的文章 |
[CHOU, SC]的文章 |
[GAO, XS]的文章 |
必应学术 |
必应学术中相似的文章 |
[CHOU, SC]的文章 |
[GAO, XS]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论