渐近的

This paper makes use synthetically of series expansion and asymptotic expansion of complex argument Fresnel integral and the connections of the two expansions are found and analyzed. The computing of Fresnel integral in whole complex plane is so solved perfectly.

本文综合运用了复宗量菲涅耳积分的小宗量级数展开和大宗量渐近展开，并且找到了大宗量展开与小宗量展开的衔接部，圆满地解决了菲涅耳积分在整个复平面内的计算机计算问题。

The finite element method was combined with homogenization theory based on asymptotic expansion for predicting effective properties of crystal polymer nanocomposites, double nanoscopic level homogenizations and one microscopic homogenization were used.

利用数学上的渐近均匀化理论，结合有限元方法，经二次纳观层次的均匀化和一次细观层次的均匀化，预测了聚合物基纳米复合材料的有效性能。

Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for oneway wave equation is proposed by using the asymptotic expansion of singlesquareroot operator.

不同于常规广义屏传播算子的推导中使用散射理论，本文利用单平方根算子的渐近展开，推导出了单程波方程广义屏传播算子的高阶表达式。

We shall derive an explicit asymptotic formula for the tail probability of Z.

在ι和t固定的条件下，我们得到了L_ι和E_ι的尾概率准确的渐近估计。

We studied the asymptotic properties of the integer part of the k-th root positive integer and gave an interesting asymptotic formula.

研究了一个关于正整数κ次根的整数部分序列的均值，并利用初等的方法得到了一个有趣的渐近公式： 3。

This paper introduced the odd sieve sequence, the methods of character, estimate and triangle sum are used to study the mean value of the divisor function. An asymptotic formula of the divisor function is gave in the odd sieve sequence set to through the analytical method.

引入了奇筛数序列，主要利用特征和估计及三角和方法，研究了除数函数的均值性质，并通过解析方法给出了除数函数在奇筛数序列集合中的一个的渐近公式。

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

Based on the excitation mechanics of evanescent-wave pumped WGM fiber laser and the analytic asymptotic formula to determine the resonant positions of a WGM,the observed experimental results are well explained.

根据消逝波激励的WGM光纤激光的激励机制，结合圆柱型微腔中确定WGM共振位置的解析渐近公式，合理地解释了观察到的实验结果。

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

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。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。