| 紧集上随机函数的一致连续性 |
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| 引用本文： | 周广发.紧集上随机函数的一致连续性[J].齐齐哈尔师范高等专科学校学报,2012(4):102-103. |
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| 作者姓名： | 周广发 |
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| 作者单位： | 湖北工程学院数学与统计学院． |
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| 摘 要： | 实分析中，紧集T上连续函数则其必一致连续。本文证明了紧集T上随机函数按（概率为1、依概率、均方）连续．则必一致连续。
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| 关 键 词： | 概率为1连续 依概率连续 均方连续 |
The Random functions uniform continuity of Compact set T |
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| ZHOU Guang-fa.The Random functions uniform continuity of Compact set T[J].Journal of Qiqihar Junior Teachers‘ College,2012(4):102-103. |
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| Authors: | ZHOU Guang-fa |
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| Institution: | ZHOU Guang-fa(School of mathematics and statistics,Hubei Engineering University,Xiaogan Hubei 432000,China) |
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| Abstract: | In real analysis,continuous functions of compact set T shall be uniform continuous,This paper proves that if the random function of compact set is continuous(with probability 1;in probability;Mean Square),then it is uniformly continuous |
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| Keywords: | continuity with probability 1 continuity in probability Mean Square continuity |
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