局部的

A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中，可以调整近邻图结点间的相似度，通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持；而且当需要保持更多的近邻关系使得数据点邻域增大时，采用测地线距离可以避免欧氏距离度量不合理的缺陷；实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时，局部近邻结构保持的程度是不同的，GGLE获得的全局低维坐标也呈现出不同的聚类特性。

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

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。

If you are in an ideal balance between State-and-ink printing plate empty part of the attachthemselves fountain solution, such as graphic part attachthemselves ink, fountain solution surface tension and the surface tension of the ink of equal, both on the interface with the spread of pressure to zero, ink fountain solution and in the interface to maintain relative balance, non-infiltrante, in which case the business card printing and membership card making effect is desired.

如果在抱负的火不朱不均状况下，印版的空缺局部附着润版液，图文局部附着油不朱，只有当润版液的暗不天不抬力和油不朱的暗不天不抬力不等时，两者的界面上的清除不抬为不整，润版液与油不朱在界面上保留相差不均、互不浸润，这种环境下制卡和会员卡制息成果才抱负。

If you are in an ideal balance between State-and-ink printing plate empty part of the attachthemselves fountain solution, such as graphic part attachthemselves ink, fountain solution surface tension and the surface tension of the ink of equal, both on the interface with the spread of pressure to zero, ink fountain solution and in the interface to maintain relative balance, non-infiltrante, in which case the business card printing and membership card making effect is desired.

如果在抱负的火不朱不均状况下，印版的空缺局部附着润版液，图文局部附着油不朱，只有当润版液的暗不天不抬力和油不朱的暗不天不抬力不等时，两者的界面上的清除不抬为不整，润版液与油不朱在界面上保留相差不均、互不浸润，这种环境下制卡和会员卡制作成果才抱负。

Water Cascade Analysis technology was used to synthesize the water use network for batch processes,which could determine the water pinch point location and the minimum utilities target of the batch process:minimum fresh water use and wastewater discharge.

利用水级联分析法对间歇过程用水网络进行研究，确定过程的用水夹点及最小新鲜水用量和最小废水排放量，提出了间歇用水过程的全局夹点的概念，考虑了用水过程的流率限制，在水级联表格中用流率替代了传统水级联分析法中的传质量，识别过程中每个时间段的局部夹点及公用工程目标，通过全局夹点和局部夹点的比较，指出过程的用水瓶颈，设置储罐打破瓶颈，使用水网络公用工程目标最小化。

The issue analyses and calculates the linear pressure loss and local pressure loss in spot example in the process as well as gets a conclusion.When several compressors in serial connection provide compressed air,the more the compressors be connected,the more the pressure loss to be happened,and gives a few of methods to reduce the pressure loss.

以实例详细计算了压缩空气在输送过程中的沿程压力损失和局部压力损失，并得出了结论：当多台空压机串联供气时，串联供气的空压机的台数越多，其串联在后面的空压机输出的局部压力损失就越大，并给出了克服压力损失的几种方法。

Traditional page clustering algorithm based on DOM tree edit distance is not suitable for the complex Document Object Model tree structure pages created from dynamic templates. In this paper, an improved Web page clustering algorithm was proposed based on partial tag tree matching. In the proposed algorithm, the appropriate weights were assigned to the nodes according to their effects on the layout of Web pages and the level difference between template nodes and non-template nodes.

传统的基于DOM树编辑距离的网页聚类算法不适合文档对象模型树结构复杂的动态模板网页，提出了一种基于局部标签树匹配的改进网页聚类算法，利用标签树中模板节点和非模板节点的层次差异性，根据节点对布局影响的大小赋予节点不同的匹配权值，使用局部树匹配完成对网页结构相似性的有效计算。

The experimental results indicate that the improved algorithm can describe feature points in a larger region, and can reduce mismatch probability of experimental images from 19% to 11% because global context vectors based on global shape information are induced to the SIFT vectors based local Information.

实验结果表明，由于在基于局部信息的SIFT向量中加入基于全局形状信息的全局向量，使得当特征点的尺度较小时，可以借助更大邻域范围内的信息对其进行描述，从而降低了由于局部信息相似而造成的误匹配的概率。

According to the characteristics of cervical disease and cervical human natural physiological curvature, Head back to use the self continue to play a small role in the weight of traction, the 26 Pillow taste of Chinese herbal medicine, directly on the neck and improve local blood circulation, ease muscle cramps, relieve the sense of Feel oppressed nerve endings to reduce the local tissue tension, anti-inflammatory, analgesic, sedative, to ease rapidly brought about by a variety of cervical spondylosis discomfort, treatment and prevention is ideal for cervical spondylosis.

根据颈椎病的发病特点及人体颈椎自然生理曲度，利用头部后仰的自重起到持续小重量的牵引作用，枕芯的26味中草药，直接作用于颈部，改善局部血液循环，缓解肌肉痉挛，减轻感觉神经末梢压迫，减少局部组织张力，消炎、镇痛、安神，迅速缓解颈椎病带来的各种不适，是治疗和预防颈椎病的理想产品。

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。