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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。

In the study on the relationship between different grid sizes and variogram of the pupae, the variation in the range, the intensity of local spatial continuity and the sill was very low or non-existent when the grid size was 5m, 6m or 7m, the value of the decisive coefficient was more bigger when the grid size was 5m, so, it is ideal grid size.

对不同样方大小的变异曲线图进行比较得知:样方边长分别为5、6、7m时,变程、空间局部连续性强度和基台值的变化幅度均很小,几乎相等,而样方边长为5m时的决定系数较大,此样方为最适样方大小。

Firstly,subgoal choosing is optimized by using heuristic function according to the window's information,it is local environment's information,which is obtained by camera.Then navigation behavior is divided into GO TO TARGET behavior and OBSTACLE AVOIDANCE behavior,their behaviorial states and behaviorial modes dynamics models are established,and then one autonomous local path planning online is implemented using navigation behavior dynamics model in a single window.Connecting a series of local paths according to continuity,the robot accomplishes one global planning ultimately.

首先根据所获得的窗口信息,采用启发式函数进行局部子目标优化选择;然后将路径规划问题即导航行为分解为趋于目标行为和避障行为,并对这两种行为分别建立了行为状态和行为模式动力学模型;在此基础上,以窗口为单位,利用导航行为动力学模型进行在线自主路径规划;将一系列窗口中的规划轨迹按照连续性条件首尾相接,最终完成了一条全局规划任务。

The pupae showed intense spatial aggregation in the studied woodland, 11.1m spatial dependence and 90.7% intensity of local spatial continuity were found, the population presented intensive spotted distribution, and many aggregated spots were found in the whole woodland.

沙棘木蠹蛾蛹的种群呈现较明显的空间聚集状态,空间依赖范围大小为11.1m,局部空间连续性强度为90.7%,呈现较明显的斑块状分布,在整个区域内有很多聚集点。

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。

There are no clear fashion signs and specific prevailing ways, but logical symbol of grand, un-successional thoughts in his works.

作品中没有明确的时尚符号,也不存在具体的流行方法,但有着宏观非连续性的思想逻辑符号。

Conduit ground conductors can be excellent low-resistance paths if continuity is assured at each union and flex coupling and if vibration is not a problem .

导线地面指挥可以很好的低电阻路径,如果是连续性,保证在每个联盟和flex的耦合振动,如果不是一个问题。

The variational convergence of real function sequence is extended to vector function sequence and the lower semicontinuity of approximating set of weak Pareto solutions of a given multiobjective decision making problem with general constraint set is obtained by using the variational convergence.

本文将函数序列的v-收敛性推广到向量值函数,在v-收敛性的条件下得到了给定的多目标决策问题的近似弱有效解集的下半连续性并给出了若干容易验证的充分条件。

Then the method make every subdomains lubricous and conquer non-differentiability of the problems.2. Through introducing the continuous conditions on internal boundary, a distributed optimal control model is established.

通过区域分解及在内边界上引入连续性条件,将分片光滑分布参数系统的抛物型方程定解问题转化为一个最优控制模型。

According to MacIntyre, we can only clarify morality and find rational explanation for modern moral crisis in terms of the historical or traditional succession.

麦金太尔认为,唯有通过对历史和传统的连续性解释方式,我们才能够阐明道德,从而求得对现代道德困境的合理解释。

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She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

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Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。