目前ANN的分析中缺乏对硬故障容错性能的分析，针对这一问题利用切比雪夫不等式给出了一种容错性分析的估算方法。
Current analyses of ANN seldom consider difficult faults. This paper presents a fault tolerance evaluation method for difficult faults based on the Chebyshev inequality.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
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