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| 用完全覆盖证明实数系中若干定理 | |
| 引用本文： | 关金玉,徐永春,祁建芳. 用完全覆盖证明实数系中若干定理[J]. 河北北方学院学报(自然科学版), 2006, 22(3): 6-7 |
| 作者姓名： | 关金玉 徐永春 祁建芳 |
| 作者单位： | 河北北方学院数学系,河北,张家口,075000;河北北方学院数学系,河北,张家口,075000;河北北方学院数学系,河北,张家口,075000 |
| 摘 要： | 引入Michael W.Botsko 提出的完全覆盖定义和完全覆盖定理,并利用完全覆盖定理给出了实数系中的Cauchy收敛准则、聚点定理和有限覆盖定理的简便证明. |
| 关 键 词： | 完全覆盖 聚点 有限覆盖 |
| 文章编号： | 1673-1492(2006)03-0006-02 |
| 收稿时间： | 2006-04-03 |
| 修稿时间： | 2006-04-03 |
To Prove Several Theorems in Real Number Field by Using Full Covering Theorem |
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| GUAN Jin-yu,XU Yong-chun,QI Jian-fang. To Prove Several Theorems in Real Number Field by Using Full Covering Theorem[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 2006, 22(3): 6-7 | |
| Authors: | GUAN Jin-yu XU Yong-chun QI Jian-fang |
| Affiliation: | Department of Mathematics, Hebei North University, Zhangjiakou, Hebei 075028, China |
| Abstract: | This article is to introduce full covering definition and full covering theorem, and to simplify the provement process of Cauchy Convergence Principle, Accumulation Principle and Finite Covering Principle |
| Keywords: | full covering accumulate point finite covering |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |