KMS Of Academy of mathematics and systems sciences, CAS
| Segments in ball packings | |
| Henk, M; Zong, C | |
| 2000-06-01 | |
| 发表期刊 | MATHEMATIKA
 |
| ISSN | 0025-5793 |
| 卷号 | 47期号:93-94页码:31-38 |
| 摘要 | Denote by B-n the n-dimensional unit ball centred at o. It is known that in every lattice packing of B-n there is a cylindrical hole of infinite length whenever n greater than or equal to 3. As a counterpart, this note mainly proves the following result: for any fixed epsilon with epsilon > 0, there exist a periodic point set P(n, epsilon) and a constant c(n, epsilon) such that B-n + P(n, epsilon) is a packing in R-n, and the length of the longest segment contained in R-n\{int(epsilonB(n)) + P(n, epsilon)} is bounded by c(n, epsilon) from above. Generalizations and applications are presented. |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000177538900004 |
| 出版者 | UNIV COLLEGE |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/15299 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Henk, M |
| 作者单位 | 1.TU Wien, Abt Anal, A-1040 Vienna, Austria 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Henk, M,Zong, C. Segments in ball packings[J]. MATHEMATIKA,2000,47(93-94):31-38. |
| APA | Henk, M,&Zong, C.(2000).Segments in ball packings.MATHEMATIKA,47(93-94),31-38. |
| MLA | Henk, M,et al."Segments in ball packings".MATHEMATIKA 47.93-94(2000):31-38. |
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