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The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题,同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计,它们揭示了其水平集的测度与局部时之间的内在关系,刻划了多指标对称稳定过程水平集的分形特征,表明了研究此类问题的积极意义,该问题是随机分形研究领域的国内外学者所关注的热点问题之一;解决了多指标稳定分量过程的局部时存在性与连续性问题,进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题;此外,本研究项目还解决了布朗单样本轨道的重分形分析,即高维白噪音的重分形分析问题。

Constrained by the triangle constraint integrated with the conventional epipolar geometric constraint, the local continuity constraint is enforced by changing the constraint areas dynamically according to the local texture density. 3 The topographic structure extraction and analysis based on grid DEMs are investigated in this dissertation, the topographic structure extraction approach fills depressions by adopting vector processes combined with traditional neighborhood raster processes, assigns flow direction over flat by applying a neighbor-grouping scan method.

2提出了一种基于核线影像对和良好匹配点三角形局部连续性约束和顺序约束下的影像匹配方法,该方法利用已知良好匹配点在Delaunay TIN的约束下进行纹理自适应的匹配传播,同时利用新的匹配点对Delaunay TIN进行动态细化使得局部几何约束区域的大小自动适应影像纹理特征的变化,从而得到更加可靠的影像匹配结果。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面,一阶导数连续的要求较强,我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件,讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法,一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

In an implicitly typed local variable declaration , the type of the local variable being declared is inferred from the expression used to initialize the variable.

在隐型局部变量声明中,正被声明的局部变量的类型从初始化这个变量的表达式推导得来。

In an implicitly typed local variable declaration, the type of the local variable being declared is inferred from the expression used to initialize the variable.

For example:在一个隐式类型化的本地变量和声明中,本地变量类型的声明过程是由使用的表达式初始化变量来推断的。

When a local variable declaration specifies var as the type and no type named var is in scope, the declaration is an implicitly typed local variable declaration.

当一个本地变量声明标示为var作为类型并且没有var类型名称在范围内,那么这个声明被视作隐式类型化的本地变量声明。

Jiayi was also Shenkang near Changhua, father of local representatives, in a certain degree of local influence.

原来佳怡也是彰化伸港附近的人,爸爸是地方民意代表,在当地有一定的影响力。

In addition, taking spatial information into account, two statistical features were presented: local matching degree and local max average difference.

另外,为了考察图像的空域信息,本文提出了两个统计特征:局部匹配度特征和局部最大平均差分特征。

An algorithm for cable local vibration is presented based on the method of substructure and generalized degree of freedom, in which cable local mode is looked as degree of freedom.

利用子结构方法和广义自由度的概念,把拉索的振型作为自由度来考虑,提出了拉索局部振动的计算方法。

Study on local extremum of object function in mutual information-based image registration;2. The difficulty of optimization caused by local extremum is the key problem of the algorithm.

由局部极值导致的寻优困难是困扰该算法的核心问题,混合优化算法成功地解决了互信息函数的寻优问题,但延长了配准时间。

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推荐网络例句

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制,给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的,他是十年前的世界网球冠军。

Objective:To investigate the effects of propofol on heart conduction system.

目的 :研究丙泊酚对心内传导系统的影响。