最大算子

With the advancement of science and technology, some new theories and new ways emerged gradually, some of them merged with specific theoretical tools, this specific theoretical tools include mathematical morphology, fuzzy techniques, neural networks, wavelet and so on. Secondly, in this paper, it described and analyzed the segmentation method based on the edge in the domain of image segmentation in detail. It did experiments on several edge detection operators using MATLAB, it summarized the advantage and the shortcoming of traditional edge detection operators, and the operating environment. On the basis of the experimental analysis, it implemented an edge location more precise, more efficient operating speed edge extraction method——Template Vector. In this method, it optimized differential approximate calculation of first differential operators the paper mentioned. After experimented on this edge extraction method, contracted with the traditional methods, the edge outline is extracted more accurately and more exquisitely, furthermore, it retained the object outline furthest, and achieved more satisfied edge extraction result.

其次，对图像分割领域中常用的基于边缘的分割方法进行了详细的研究与分析，对各种边缘检测算子进行了MATLAB环境下的实验，分析总结了各种传统边缘检测算子的优缺点和适应环境，并针对传统边缘检测算子在处理显微图像时的缺陷，在实验分析的基础上研究并实现了一种边缘定位更加精确、运算速度更加快捷的边缘提取方法——模板向量算法，在该算法中，对文章提到的一阶微分算子中微分的近似计算作进一步优化，经过对该边缘提取方法进行实验，其结果与传统方法相比，轮廓提取更为精确细腻，且最大程度的保留了图像中物体(目标个体或者明显噪声点)的轮廓，得到了比较理想的边缘提取效果。

The half scenery search method and the maximum superiority search method developed for searching ideal AND/OR graphs can be extended to searching ideal non-AND/OR graphs containing SUB and COM operators, and the maximum reliability search method for searching ideal AND/OR graphs is applicable to the non-ideal AND/OR graphs containing circuit structures.

建立在理想AND/OR图上的半景搜索法和最大优势搜索法可以推广到包含SUB和COM算子的理想非AND/OR图的搜索，而最大超越搜索法则可推广到包含回路结构的非理想AND/OR图的搜索。

In this paper,we build symplectic structure of 2-nd order and high order singular differential operators on infinite interval, we construct a symplectic space by the maximal and minimal operator domain .

本文研究了无穷区间上二阶、高阶奇型微分算子的辛结构，利用最大与最小算子域构造了一个辛空间，用辛空间中的线性流形来刻画定义在无穷区间上二阶、高阶奇型对称微分算子的自共轭扩张问题。

The paper gives a detailed introduction to the classification and mothed of image edge detection from the traditional point of view,that is,the robert operator based on the maximum gradient detection,the sobel operator,the prewitt operator,the canny orerator,the laplancan operator based on the detection of second derivative of the zero-crossing point and then log operator.The paper makes a summary and analysis to the principles and applications,advantages and disadvantages of each algorithms and operators. Especially the canny operator.

本文首先介绍了图像边缘检测在国内外的发展，图像边缘检测的重要性及意义，阐述了图像边缘检测的原理，从传统的角度详细介绍了的图像边缘检测的分类及方法，即基于检测梯度最大值的robert算子，sobel算子，prewitt算子，canny算子，基于检测二阶导数的零交叉点的laplacan算子及log算子，对各种算法和算子的原理及用法及优缺点做了总结和分析尤其是canny算子。

The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.

讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。

By semi-order method the coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations in Banach spaces are studied.

利用半序的方法，研究了巴拿赫空间中一类非线性算子方程的最小最大耦合拟解。

In this dissertation, the genetic algorithm is discussed in detail. In order to improve the convergence of GA, considering that it is important to choose the probability of crossover and mutation , new p〓 and p〓 were varied depending on the fitness values.

该方法在遗传模式得到保证的基础上，加快新个体的产生速度，所构造的交叉算子和变异算子随适应值自动变化，对远离最优值的个体采用较大遗传算子值，对接近最优值的个体采用较小遗传算子值，提高得至撮优解的概率。

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。

For the uniformly ergodic Markov processes, which is a classic framwork established by Deuschel-Stroock for studying the LDP for empirical measures, the LDP of f_n~* in the weak topology and the uniform weak*-LDP in the strong topology ||·||_1 for f_n~* are established. Furthermore, we prove that f_n~* is asymptotic optimal in the sense of Bahadur. These results are obtained for the first time in the dependent case. For this generalization from the i.i.d.

在此框架下，我们建立了f_n~*在弱拓扑下的大偏差原理以及在L~1-拓扑下对初始点一致的弱*大偏差原理，另外，我们还证明了f_n~*在Bahadur意义下是渐近最优的，这些结果在相依情形下是全新的，为了做这样本质性的推广，我们需要克服许(来源：ABC论文6d网www.abclunwen.com)多技术上的困难和应用不少特殊的工具，诸如Harnack型不等式，Cramèr型偏差不等式，一致可积算子，线性算子的扰动理论，Bishop-Phelps定理等等(它们都是首次用于处理这样的问题)。

In this paper we've compared several predicate of first order operators, and proposed an improved algorithm which is based on the automatic double threshold value improvement algorithm based on the maximum inter-cluster distance and intra-cluster variance ratio.

在边缘检测算法的选择上，比较了几种常用的一阶微分算子的优劣，并在Canny算子的基础上提出了基于最大类间、类内距离比值的自动双阈值改进算法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。