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The result obtained shows that the asymptotic formula of finite-time ruin probability which holds in the case that the claimsize is independent, identically distributed i.i.d.

所得结果显示，在独立同分布索赔额情形，有限时间破产概率的有关渐近等价公式，在负相依场合依然成立。

The induction periods and particulate fouling asymptotic resistances of arc line tube were obtained by comparative experiment under various particulate concentration and liquid velocity. The flow field and shear stress in the arc line tube were numerically simulated and analyzed.

文中通过不同流速和微粒浓度下微粒污垢的加速实验，得到了弧线管微粒污垢渐近热阻值和诱导期；同时，用数值方法模拟了弧线管的内部流场和壁面剪切力。

When the elliptical coaxial line becomes a circular coaxial line, the mode eigenequation of the circular coaxial line can be obtained from the mode eigenequation of the elliptical coaxial line using the asymptotic formulae of angular and radial Mathieu functions.

研究表明：当椭圆退化为圆时，利用角向和径向马修函数的渐进关系，可得到填充多层介质的圆形同轴线的模式特征方程，由此可见，圆形同轴线可看作椭圆形同轴线的特例；当椭圆同轴线内导体半长轴大小为零时，则椭圆同轴线就变成椭圆波导，同样的方法，可得到填充多层介质的椭圆波导模式特征方程。

Based on the solution for incompressible materials, the asymptotic solution of the order up to ∈~2 is obtained.

第一种方法以学术界普遍接受的高玉臣与Rice等的不可压缩(ν=1/2)理想弹塑性扩展裂纹尖端场为基础，以ε=1/2-ν为小参数作摄动展开，得到了直到ε~2阶的渐近解。

By sampling from the traffic flow and averaging non-overlapping blocks of size m from the original series, the variance asymptotic characteristic of the averaged series is obtained, from which this method shows that the splitting, assembling and merging process of the convergence mechanism will not change the Hurst parmeter of the traffic if the queue length of assemble buffer has a finite second-order moment.

在分析光突发交换边缘结点汇聚机制的基础上，提出了一种基于方差时间图的分析方法，利用"时间离散"和"尺度聚集"的思想，通过构造不同聚集级别m的聚集序列，分析得出业务流时间聚集序列的方差渐近性，从理论上证明了在组装器队长具有有限二阶矩的条件下，汇聚机制的分解、组装和合并过程不会改变业务流的Hurst参数。

Under appropriate conditions the asymptotic solution and its existence conditions are obtained.

在适当的条件下，得出了这一类非线性系统解的存在性条件及其渐近解。

Thus using the perturbation method the asymptotic expansions of solution for the original problem are obtained.

于是利用摄动方法得到了原问题解的渐近展开式。

Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained.

最后，利用微分不等式理论，得到了原问题解的一致有效的渐近展开式。

For the peg-top system of two dimensions a asymptotic solution with small and finite amplitudes can be obtained simply and conveniently.

将此结果用于二自由度陀螺系统，较简捷地得到了该系统的具有小而有限振幅的渐近解。

The diffusion equation and viscoelastic stress model were coupled. We obtained an asymptotic solution by the perturbation theory.

在这一部分中我们采用了将扩散与粘弹性相结合的方程来刻画溶剂在玻璃态高分子材料中的移动。

Do not gum up the work by telling mother what we are going to do .

别告诉母亲我们要干的事，那会把事情搞糟的。

In recent years, application of the partial prestressed concrete beam s is developed.

近年来，随着部分预应力砼梁应用的推广，发现我国规范所采用的名义拉应力法的计算结果不稳定。