算子函数

This paper firstly proposed some clarity-evaluation-functions of out-of-focus blurred image,they are the sum of square of gray-level gradient vector module,the sum of Roberts-gradients,and the sum of Laplacian operator.

本文首次提出了用图像灰度梯度向量模方和、Roberts梯度和与拉普拉斯(8邻域微分)算子和作为由于离焦产生的模糊图像的评价函数。

This paper firstly proposed some clarity- evaluation- functions of out- of- focus blurred image,they are the sum of square of gray- level gradient vector module,the sum of Roberts- gradients,and the sum of L apla- cian operator.

本文首次提出了用图像灰度梯度向量模方和、Roberts梯度和与拉普拉斯(8邻域微分)算子和作为由于离焦产生的模糊图像的评价函数。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

The implementation on how to apply this technique in FEM based on magnetic vector potential is also introduced.

还介绍了TRL算子在采用矢量磁位函数有限元公式中的实现。

And two halance equations and two vorticity equations corresponding to these f...

于是，我们得到了相应于这两个■的两个方程组，它们是：■此处▽是水平梯度算子。J是 A 和 B 的雅可比函数。

And two halance equations and two vorticity equations corresponding to these field are sol...

于是，我们得到了相应于这两个■的两个方程组，它们是：■此处▽是水平梯度算子。J是 A 和 B 的雅可比函数。

I. e., a the creation of total problem description model. b structure code tree. c the definition of evaluation function and calligraphical rules testing entities.

主要包括：自动设计问题的模型建立；结体方式描述；量化书法规则的测试项及字形评价函数的设置；字形修改算子的设置；推理控制机制及控制策略。

The notion of weak fuzzy similarity relations,a generalization of fuzzy similarity relations,is used to represent indiscernibility of elements.

为此提出用模糊相似关系和弱模糊相似关系的概念来代替等价关系，同时引入了弱模糊相似关系的相似度概念和相似类概念，定义了基于弱模糊相似关系的广义粗糙集及标准的广义粗糙集上下近似；研究了两对上下近似算子的性质，讨论了3种粗糙隶属函数的性质并验证了它们的性质。

Digital image process technique is used in pantographic faults monitoring, and a new algorithm named window-edge tracking is proposed in this paper. Based on the binary image of edges which is detected by Canny operator, a window in proper size is set to track the discontinuous edges to estimate the position of the lost edges. With this method continuous edges will be obtained, and continuous and smooth edges will be got after least-squares curve-fitting.

中文摘要：将数字图像处理技术应用于受电弓故障监测，提出一种新型的窗口边缘跟踪算法，在采用Canny算子计算出边缘二值图的基础上，设置适当大小的窗口对初始不连续边缘进行遍历，估计断点处边缘点位置获得连续边缘，并采用最小二乘法拟和出连续平滑的曲线函数。

In chapter 3 by using probabilistic methods and analysis methods we study pointwise approximation for bounded functions by Baskakov operators.

在这章中主要运用新的方法和概率论工具，结合分析技术，研究了Baskakov算子对一般有界函数的点态逼近问题。

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。