核函数

From the Maxwell equation in EMT sensing subsystem, two kinds of 3D electromagnetic integral solutions are obtained under material field distribution and with Dyadic Green function as integral kernel.

从EMT传感子系统的Maxwell方程出发，得到了两类物场分布情况下的以并矢格林函数为积分核的三维电磁积分解。

The numerical results demonstrate that the MEI coefficients obtained using the technique,which takes dipole layer excitation as the "Metron" and the Green function in free space as the integral Kernel,are of higher precision over other techniques.

数值结果表明，利用电偶极子层激励作为测试子和自由空间格林函数作为积分核确定MEI系数的方法，比之其它方法具有更高的精度和明显的优点。

Green quasifunction method is applied to Poisson's equations. Fredholm integral equations of the second kind are obtained. Irregularity of the kernel of integral equations is overcome by choosing a suitable form of the normalized boundary equation.

应用准格林函数方法，可将Poison方程化为第二类Fredholm积分方程，通过边界方程的适当选择，积分方程核的奇异性被克服了。

The research achievement are acquired as follows: 1From mathematical models for inverse scattering in two dimensional homogenous media including Dirichlet, Neumann, Robin,all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill-posed integral equation and indicator function method are formulated for the diverse of boundary identification. It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

本研究取得了如下研究成果： 1）在二维均匀介质逆散射各种边界识别的数学模型（包括Dirichlet，Neumann，Robin，各种可能的混合边界问题，裂纹问题）下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

Sets as its aim to obtain an integral representation of the holomorphic functions on the analytic subvariety of strict pseudoconvex polyhedron in space C n.

通过在Cn空间中强拟凸多面体域的复补维数为m（1≤m＜n）的子流形上构造积分核，得到该复子流上的全纯函数的积分表示公式。

These comparison show that all calculation results, such as dissociation energy, equilibrium internuclear distance and rotation-vibration constants, are better agreement with experimental results than other theoretical ones.

结果表明，无论是离解能、平衡核间距还是分子的振转常数，利用九参数Murrell-Sorbie势能函数得到的结果与实验结果相比较，都明显好于其他理论结果。

Main attention is paid on the third part; in this part several kinds of method to physical geodesy regularization problem are discussed, which are Tikhonov regularization, truncated singular value decomposition, biased estimation and least squares collocation.

在经典小波变换的基础上引入了球面小波概念，证明了Possion积分核是小波尺度函数，在尺度离散基础上证明了球外重力场处于一个多尺度空间。

With the correlation, the second moment of crystal size distribution in the kinetic model of literature was able to be replaced, and the parameters of nucleation and crystal growth rate were able to be directly acquired by computer program design.

利用此关联式，对文献模型中晶体粒度分布函数的二阶矩量进行替换，并结合计算机程序设计，可直接拟合得到结晶体系的成核和生长动力学参数，从而为结晶动力学模型的求解建立了一种新型算法。

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。