| 命题的可延、可传与基本成立 |
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| 引用本文： | 魏常果. 命题的可延、可传与基本成立[J]. 淮北煤炭师范学院学报(自然科学版), 1999, 0(1) |
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| 作者姓名： | 魏常果 |
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| 作者单位： | 曲阜师范大学教学系!曲阜，273165 |
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| 摘 要： | 引入了命题的可延性、可传性、基本成立等概念，阐述了它们的性质及相互关系，弄清了函数列的基本一致收敛、几乎处处收敛、依测度收敛的关系，使测度论的一些重要定理有了清晰的表达，并证明了可测函数为基本连续函数，连续函数为基本一致连续函数，有限函数为基本有界函数．
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| 关 键 词： | 可延性 可传性 基本成立 |
Extensibility Inheritability and Mostly-true Proposition |
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| Wei Changguo. Extensibility Inheritability and Mostly-true Proposition[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 1999, 0(1) |
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| Authors: | Wei Changguo |
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| Affiliation: | Department of Mathematics. Qufu Normal University 273165 |
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| Abstract: | In this paper, we introduce the extensibility inheritability and the definition of a mostly-true proposition.We give their properties and relations.That makes some important theorems of measure theory clear.We also proved that measurable functions are mostly continuous functions,continuous functions are mostly uniformly continuous functions and everywhere finite fumctions are mostly bounded functions. |
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| Keywords: | extensibility inheritability mostly-true |
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