锥形GRIN透镜的光束宽度和变周期节点

本文由波动方程出发,求得了锥形GRIN(梯度折射率)透镜的光束宽度关系式,并由此确定这种透镜的变周期节点。用几何光学轨迹法也能得到同样的结果。     

光纤CAN网络节点数计算方法

为电动汽车通信网设计了一种中继型节点的光纤CAN(Fibre--CAN)环型总线网络．采用塑料光纤(POF)作为传输介质，用波长为660nm的红光光电收发器件实现光电转换．在对中继型节点的传输延迟进行详细的分析后，结合CAN协议定义的位周期，给出了基于传输延时的网络最大节点数的计算方法．并对该方法进行了实验验证，实验结果与理论计算具有良好的一致性，表明该方法的有效性．     

Meshless Galerkin algorithms for boundary integral equations with moving least square approximations

In this paper, we first give error estimates for the moving least square (MLS) approximation in the Hk norm in two dimensions when nodes and weight functions satisfy certain conditions. This two-dimensional error results can be applied to the surface of a three-dimensional domain. Then combining boundary integral equations (BIEs) and the MLS approximation, a meshless Galerkin algorithm, the Galerkin boundary node method (GBNM), is presented. The optimal asymptotic error estimates of the GBNM for three-dimensional BIEs are derived. Finally, taking the Dirichlet problem of Laplace equation as an example, we set up a framework for error estimates of the GBNM for boundary value problems in three dimensions.     

Spectral Ranking of Causal Influence in Complex Systems

Similar to natural complex systems, such as the Earth’s climate or a living cell, semiconductor lithography systems are characterized by nonlinear dynamics across more than a dozen orders of magnitude in space and time. Thousands of sensors measure relevant process variables at appropriate sampling rates, to provide time series as primary sources for system diagnostics. However, high-dimensionality, non-linearity and non-stationarity of the data are major challenges to efficiently, yet accurately, diagnose rare or new system issues by merely using model-based approaches. To reliably narrow down the causal search space, we validate a ranking algorithm that applies transfer entropy for bivariate interaction analysis of a system’s multivariate time series to obtain a weighted directed graph, and graph eigenvector centrality to identify the system’s most important sources of original information or causal influence. The results suggest that this approach robustly identifies the true drivers or causes of a complex system’s deviant behavior, even when its reconstructed information transfer network includes redundant edges.     

A comparison of coal supply-demand in China and in the US based on a network model

Through analysis the actual coal supply and demand in the US and China, the properties of the coal supply-demand market in both countries are investigated based on the energy supply-demand network. The validity of our model is verified by comparing numerical results with empirical results. The comparison of empirical results and the comparison of coal network model parameters between in the US and in China reveal the essence of the internal differences and similarities of coal supply and demand in these two countries. The third stage of China＇s coal network was close to that of the US in 1995, indicating that the evolutional situation of China＇s coal market begins to transit to an oligopolistic type. Finally, suggestions for China＇s coal supply-demand strategy are put forward.     

利用邻域“结构洞”寻找社会网络中最具影响力节点

识别复杂网络中的关键节点对网络结构优化和鲁棒性增强具有十分重要的意义. 经典的关键节点测量方法在一定程度上能够辨识网络中影响力节点, 但存在一定局限性: 局部中心性测量方法仅考虑节点邻居的数目, 忽略了邻居间的拓扑关系, 不能在计算中反映邻居节点间的相互作用; 全局测量方法则由于算法本身的复杂性而不能应用于大规模社会网络的分析, 另外, 经典的关键节点测量方法也没有考虑社会网络特有的社区特征. 为高效、准确地辨识具有社区结构的社会网络中最具影响力节点, 提出了一种基于节点及其邻域结构洞的局部中心性测量方法, 该方法综合考虑了节点的邻居数量及其与邻居间的拓扑结构, 在节点约束系数的计算中同时体现了节点的度属性和“桥接”属性. 利用SIR(易感-感染-免疫)模型在真实社会网络数据上对节点传播能力进行评价后发现, 所提方法可以准确地评价节点的传播能力且具有强的鲁棒性.     

谈"圆驻波"演示实验中的思维误区

指出了对“圆驻波”演示实验在认识上的两个误区，并在理论上分析了在该装置中实现圆环驻波的条件，得到了和实验现象相一致的理论结果。     

带电粒子在相互垂直的匀强电场和磁场中的运动轨迹

推导出带电粒子在相互垂直的匀强电场和磁场中普遍情况下的运动方程,给出了几种典型情况下的轨迹,并对轨迹的形状和性质,结点的出现进行了讨论.     

基于指纹识别与LIN总线的汽车车门系统设计

为了改善传统汽车防盗系统安全性低的问题,提出了一种新型的汽车门门锁控制方法,基于LIN总线网络对车身控制和改进的指纹识别技术来实现。使用L9638作为LIN总线收发器,以ST792F150JDV1QC作为主控节点微控制器,实现LIN网络的通信功能和对网关的控制。针对提高车门指纹识别率问题,提出了Gabor滤波器指纹识别方法,使用八通道的Gabor滤波器对预处理的指纹图像进行滤波,提取指纹图像的指纹特征,使用欧氏距离方法对提取的指纹特征进行匹配。匹配结果经过LIN从节点控制器串行口接收,传递至总线,主节点控制器做出反应,实现门锁的开关。最终对系统实物进行搭建,进行实验测量系统的可行性。     

Isolating a Leaf in Rooted Trees via Random Cuttings

We consider a recursive procedure for destroying rooted trees and isolating a leaf by removing a random edge and keeping the subtree, which does not contain the original root. For two tree families, the simply generated tree families and increasing tree families, we study here the number of random cuts that are necessary to isolate a leaf. We can show limiting distribution results of this parameter for simply generated trees and certain increasing trees. This work was supported by the Austrian Science Foundation FWF, grant S9608-N13.