格林函数

We find the exact Green's functions of the Anderson s-d mixing model formagnetic multilayers with arbitrary spin canting angle and arbitrary s-d mixingstrength between two FM layers within the framework of the mean-field theory of theon-site Coulomb repulsion.

在对格点库仑排斥互作用作平均场近似的理论框架内，我们给出了层间系统中Anderson s-d混合模型的严格格林函数。这一格林函数适用于任意的s-d混合作用强度以及两铁磁层的磁化方向间的任意夹角。

The Green's function in complex domain is introduced to turn the mixed boundary value problems of the fluid potential to the problems of Cauchy's dual integral equation.

文中采用了复域内格林函数解法，将势函数的Herbert问题转化为对Cauchy型奇异积分方程的求解。

In our model the probability density function of the jump size p is general. A closed series formula of the price is given by introducing some kind of Green function and the optimal exercise boundary of the perpetual put option is given by the smooth junction condition.

文章强调跳量的概率密度函数p是一般形式的，通过偏微分方程方法引入格林函数，给出永久美式看跌期权的价格，并通过自由边界条件给出最佳实施边界的显式表达式。

Secondly,"the Nodal Green's Function Method For Cylindrical Geometry on Neumann Boundary Condition Based on Green's Functions on slab geometry"is well improved.

论文对"基于平板几何格林函数的第二类边界条件圆柱几何格林函数节块法"做了重要改进。

Then the integral-differential equations were reduced to the form with degenerate core by expanding Green＇ s function as series of characteristic function.

再使用展开法求出格林函数，即将格林函数展开为特征函数的级数形式，积分微分方程就成为具有退化核的形式，从而容易得到关于时间的非线性常微分方程组。

However, due to the oscillation and singularity of the integrand of Green's function and that integral interval is infinite, it is difficult to compute the function and to control the accuracy.

而格林函数中被积函数的振荡性，奇异性和积分区间为无穷使得该函数的计算较为困难，精度不易控制。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

The main factors effecting on exploration precision of surface wave are analyzed in the light of calculation of phase velocity of surface wave; the merits and demetits of common computing methods for phase velocity between stations and their applied range are discussed and calculation of interstation Green's function for correcting phase is put forward to get the precise phase difference between two stations.

分析了影响面波勘探精度的主要因素，针对计算面波相速度的精度问题，讨论了常用测量台间面波相速度方法的优缺点及其适用范围，并提出通过测量台间格林函数进行相位校正，以得到两台之间的精确相位。以合成的高频理论地震图作为记录信号，并在理论地震图上叠加了 2 0 %的随机噪声，利用这些方法分析理论信号，数字实验表明：在相干频率范围内，格林函数方法能够精确测量台间相速度，而互相关法和窄带通滤波互相关法所得结果较为离散。

The bending problem of simple-supported parallelogrammic plates on Winkler foundation is reduced to two simultaneous Fredholm integral equations of the second kind by applying Green quasifunction method. The Green quasifunction is set up by using the fundamental solution of Poisson equation and the normalized boundary equation.

应用准格林函数方法，即利用方程的基本解和规范化的边界方程构造一个准格林函数，将Winkler地基上简支平行四边形薄板的弯曲问题化为两个耦合的第二类Fredholm积分方程，此积分方程的核表示式在区域的边界上具有奇异性。

By using two different three-dimensional source distri- bution techniques, three-dimensional translating-pulsating source (3DT) and three-dimensional pulsating source (3DP), numerical investigations have been carried out for a high speed monohull ship (RD-200) advancing in oblique waves. The numerical results are compared with experimental values obtained from wave load tests carried out at the SSPA. These extensive test results cover different wave directions at a wide range of wave frequencies.

本文在高频运动的假设之下，使用一种简化的三维振荡(3D pulsating)格林函数，3DP，以及与实际波系接近的三维前进－振荡(3D Translating-pulsating)格林函数，3DT，对於一艘高速单体船(RD-200)进行斜浪中规则波之波浪动态压力负荷分析；理论计算将以两种三维源点法进行波浪负荷评估并与由船模试验加以验证，船模实验於瑞典SSPA方型风浪水槽进行。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。