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The authors intend to discuss and prove the asymptotic properties of the intermediate point in integral mean value formula for a copmplex function, and meanwhile to improve and popularize the previous conclusions.

摘要给出了复函数积分中值公式"中值点"的渐近性质，改进和推广了已有的结论。

We set a relatively long integral time in the calculation of heat current autocorrelation function, and got convergent results.

计算了较长时间的热流自相关函数，并得到了导热系数的收敛结果。

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

On the basis of Muskhelishvili's complex function theory, an auxiliary field of mixedmode crack was accomplished, and then using Betti's reciprocal work theorem, a path independent contour integral method for stress intensity factors of mixed-mode crack was obtained.

本文用复变函数理论推导出裂纹的辅助场，并用Betti功互等定理给出求解混合型裂纹应力强度因子的远场围绕积分法。

Property 2 The constant factor in the integrand function can be taken out of the double integral, that is ,if k is a constant.

性质 2 被积函数前面的常数因子可以提到积分号前面，即，若k为常数。

Based on the Fresnel diffraction integral and the complex Gaussian expansion for the hard-edge aperture function, a simple and analytical expression for calculating the diffraction field distribution of an apertured lens is presented.

基于菲涅尔衍射积分和将硬边孔径函数展开成有限项复高斯级数方法推导出了计算透镜衍射光强分布的解析表达式。

Because, discriminate functions, function and a series of parameter improper integral. We uniform convergence is research foundation of many mathematical problems.

因为，判别函数列、函数项级数以及含参量反常积分的一致收敛是研究许多数学问题的基础。

Gerber-Shiu discounted penalty function is studied and a solution is obtained to the iuntegro-differertial eqution which is in the form of an infinite series by means of integral transform.

在常利率环境下，研究当索赔时间间隔为Erlang(2)分布且保费收取为两步保费的风险模型，推导出该模型Gerber-Shiu罚金折现期望函数所满足的微积分方程。

It was proved that the irregularity of the kernel of integral equation could be overcome by choosing a suitable form of the normalized function.

通过寻找适当的规范化方程，来表示问题的边界，并证明积分方程核的奇异性被克服了。

Laplace transform has broad application of space, Laplace transform the complex function addressed in practical applications are very important, LaPlace integral transformation in pure mathematics and applied mathematics are in a powerful tool.

拉普拉斯变换有着广阔的应用空间，拉普拉斯变换在复变函数论及实际应用中都很重要，拉普拉斯积分变换在纯数学以及应用数学中都是一个有力的工具。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。