The mathematical models of probability of random event and fuzzy random event should be taken to analyze the reliability of a structure for these two kinds of limit state.
对这两种极限状态，应分别采用随机事件和模糊随机事件概率的数学模型进行其可靠度分析。
With mathematical analyses, this paper proves one kind of new inequality including radical, which shows the profound of limit in dealing with normal mathematics problems.
用数学分析的方法证明一类含根式的新不等式，展示了极限思想在处理一般数学问题时的深刻性。
Differential equation and probability limit theorem have been widely used in the mathematical model of biological population growth.
以往关于生物种群增长的数学模型多是用微分方程和概率极限定理的方法来推导的。
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