| 关于几个重要集类间关系的探究 |
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| 引用本文： | 张晓军,刘淼. 关于几个重要集类间关系的探究[J]. 新乡学院学报(自然科学版), 2014, 0(4): 1-3 |
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| 作者姓名： | 张晓军 刘淼 |
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| 作者单位： | 伊犁师范学院数学与统计学院 |
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| 基金项目： | 国家自然科学基金项目(11161050);新疆维吾尔自治区重点学科(基础数学)开放课题(2012ZDXK09);伊犁师范学院2012年一般科研项目(2012YB015) |
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| 摘 要： | 通过几个重要集类定义、性质的分析，探讨了域、半域、环、δ域、δ环及单调类、π类、λ类等重要集类之间的关系，并得到了F为δ域的若干等价条件，为“高等概率论”及“随机过程”等后续课程的学习提供了必要的基础。
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| 关 键 词： | δ域 δ环 单调类 π类 λ类 |
Research on the Relationship among Several Important Classes of Set |
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| ZHANG Xiao-jun;LIU Miao. Research on the Relationship among Several Important Classes of Set[J]. , 2014, 0(4): 1-3 |
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| Authors: | ZHANG Xiao-jun LIU Miao |
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| Affiliation: | ZHANG Xiao-jun;LIU Miao;School of Mathematics and Statistics,Yili Normal University; |
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| Abstract: | Based on the analysis of the definitions and characters of several important 3es of set, the relationships among field, semi-field, ring, δ-field, δ-ring, monotone class, π-class,;λ-class, and several equivalent conditions of Fas δ-field are gotten. It provides the necessary foundations to learn “probability theory”, “stochastic processes” and other subsequent courses. |
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| Keywords: | δ-field δ-ring monotone class π-class λ-class |
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