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。
According to unary function limit and multivariate function limit of mathematical Analysis, the validity of the index Vnew is proved in theory.
并根据数学分析中一元函数和多元函数的极限的相关知识，在理论上证明了该指标的有效性。
The control for speed limit on expressway is a nonlinear and time variable system, it is difficult to simulate with a mathematical model. A neuro-fuzzy network is proposed to solve the problem.
高速公路限速控制是一个非线性时变系统，难于用数学模型准确建模，提出一种模糊神经网络实现限速控制。
Summary: the limit is one of the extremely important concept in mathematics. limit mathematical solving mathematical problems in the world of thought is the awareness of the important weapons.
极限的思想是人们认识数学世界解决数学问题的重要武器。
In part two, two mathematical models for reactive power supply programming in distribution network is presented, the age limit of reactive power supply is added to models.
第二部分建立了配电网无功电源规划的两种数学模型，在模型中增加考虑了无功电源的使用年限。
Following a detailed mathematical derivation a new approximate algorithm for the fatigue fracture of metals is given namely a complicate integral having a changing upper limit.
在详细的数学推导之后，给出了金属疲劳断裂几率即一个变上限复杂积分的近似解析函数表达式，并与计算机的数值曲线进行了比较。
By using the idea of nonlinear programming, the lower bound limit analysis model of mathematical programming for wedge stability is established.
建立了下限法数学规划模型，并通过非线性规划获得楔体稳定严格的下限解。
By using the idea of nonlinear programming, the lower bound limit analysis model of mathematical programming for slope stability was established.
建立了边坡稳定的下限法数学规划模型，并通过非线性规划方法寻求问题的下限解。
Conclusion the lower limit of 95% confidence inter mathematical relationship between BPF and age could be used as an objective criteria for automatic quantification of brain atrophy with computer.
结论BPF与年龄之间函数关系的95%可信区间下限，可作为计算机自动定量诊断脑萎缩的客观标准。
Conclusion the lower limit of 95% confidence inter mathematical relationship between BPF and age could be used as an objective criteria for automatic quantification of brain atrophy with computer.
结论BPF与年龄之间函数关系的95%可信区间下限，可作为计算机自动定量诊断脑萎缩的客观标准。
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