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1·The eigen function of self-reproductive mode in laser resonator is derived.

导出激光谐振腔自再现模的波型函数。

2·Wave attenuation properties of rectangular pontoon breakwater were analyzed with eigen - function expansion.

利用特征函数法对矩形浮箱式防浪堤的消浪性能进行分析。

3·In this paper we describe the eigen-function expansion for the boundary value problems of electromagnetic theory of cylindrical grating.

本文介绍利用本征函数展开处理圆拄面光栅电磁理论的边值问题。

4·The new method is based on combining perturbation method of eigen-problems with rational approximation of a vector-value function .

提出了一种新的结合特征灵敏度直接法和向量值函数有理逼近的结构动力重分析方法。

5·The results show that the eigen spectral functions declined with the increasing of order rapidly. The reconstruction of spectral density function shows that low order approximation is very efficient.

计算结果表明，冲击射流所形成的脉动壁压场可用正交分解进行描述，其特征谱函数随阶数的增加而迅速衰减，对谱密度函数进行低阶近似也非常有效。

6·In this paper, a novel unconstrained cost function for the generalized eigen-decomposition is presented and the properties of the cost function are analyzed.

本文提出了一种新的无约束损失函数用于广义特征分解，并且分析了损失函数的特性。

7·From these expressions the dyadic Green's function for a dielectric waveguide can be obtained if the eigen-mode of the waveguide are given.

根据这个表达式，只要给定介质波导的本征模，就可以得到该波导的并矢格林函数。

8·As network input, the fault feature is enhanced by eigen-function in modeling.

在建模过程中，利用特征函数强化故障特征作为网络输入。

9·It is shown that the expression of electric-type dyadic Green's function is the sum of an eigen-mode expansion containing nine dyadic components and a singular term.

得到的电型并矢格林函数表达式由包括九个并矢分量的本征模展开式和一个奇异项组成。

10·The eigen-relaxation time and eigen-function for viscoelastic toroidal deformation can be analytically given when the total layer number is up to 6 between CMB and earth surface.

当核幔-地表小于6个分层时，本文能解析地给出了粘弹性地球环形场的特征松弛时间。 并写出了地表剪切应力激发下的特征函数表达式。