可测集定义的一个附注 |
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引用本文: | 覃崇文.可测集定义的一个附注[J].渝西学院学报(自然科学版),2007(4):17-18. |
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作者姓名: | 覃崇文 |
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作者单位: | 贵州省畜牧兽医学校 贵阳550018 |
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摘 要: | 测度论中的可测集的定义通常由Caratheodory条件给出.本文在有限可测空间上简化Caratheodory条件,给出可测集的一个新定义,并证明两个定义是等价的.
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关 键 词: | 有限可测空间 CARATHEODORY条件 可测集 |
A Note on Definition of Measurable Set |
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Authors: | QIN Chong-wen |
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Institution: | QIN Chong - wen ( School of Vocational Animal Science and Vetennary, Guiyang 550018, China) |
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Abstract: | The definition of measurable set in measure theory usually is defined under Caratheodory condition.The author gave a new definition of measurable sets under the Caratheodory condition which predigested in finite measurable space and proved that the new definition equals the old one in the article. |
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Keywords: | measurable set caratheodory condition finite measurable space |
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