算子函数

The closed-form expressions are derived so that all required differentiations are obtained in closed form and numerical differentiation can be avoided.

特别是对微带和缝隙混合结构的空域MoM分析，旋度算子的微分在谱域进行，并可以给出它们的解析表达式，其对应的空域格林函数可通过高阶的Sommerfeld恒等式获得，从而避免了数值微分。

The most important thing is to learn how to input matrix, the use of : operator, and how the function call.

最重要的是要学习如何输入矩阵，如何使用：算子，以及如何调用函数。

Using fuzzy roughness and local operator to update the membership function of FCM algorithm.

使用局部模糊粗糙度和待定算子来更新FCM算法中的隶属度函数。

By means of estimates for three-dimensional discrete derivative Green's function , the theory of the interpolation operator of projection type and the technique of cancellation of elements, for several usual elements in the three-dimensional setting, including rectangular parallelepiped elements, tetrahedr.

借助三维离散导数Green函数的估计，投影型插值算子理论和单元合并技术，本文详细讨论了几种常用三维单元(包括长方体元，四面体元和三棱柱元)的有限元解梯度的最大模超逼近，均获得了高精度的超逼近结果。

Electromagnetic theory ; Vector wave function space ; Vector partial differential operator ; helmholtz

电磁场理论；矢量波函数空间；矢量偏微分算子；亥姆赫兹定理

In Section four, Karsli introduces a new kind of Gamma operators and obtains an estimate of the rate of pointwise convergence of these new kind Gamma operators for functions with derivatives of boundde variation.

本论文将利用概率的方法和一些已有的不等式考虑新Gamma型算子对局部有界函数点态逼近速度的估计。

Boolean sum projection, P〓P〓, interpolates to a primitive function f along lines; it is a transfinite interpolant.

布尔和曲面投影算子，即Pu〓Pw，沿着曲面片的边界曲线插值被逼函数f，因而这是一种超限插值。

In the algorithm, each point is shifted using a filtering operator based onmean shift scheme to the localmaximum of kernel density function to suppress noises and remove the outliers.

用基于均值漂移的滤波算子，把每个采样点移动到核密度函数的局部最大值的点，以限制噪声并剔除离群点。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions.

从转移概率函数的定义出发，证明了Markov积分算子半群是非退化的。

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。