Hierarchical Community Detection Based on Partial Matrix Convergence Using Random Walks

Random walks are a standard tool for modeling the spreading process in social and biological systems.But in the face of large-scale networks,to achieve convergence,iterative calculation of the transition matrix in random walk methods consumes a lot of time.In this paper,we propose a three-stage hierarchical community detection algorithm based on Partial Matrix Approximation Convergence(PMAC) using random walks.First,this algorithm identifies the initial core nodes in a network by classical measurement and then utilizes the error function of the partial transition matrix convergence of the core nodes to determine the number of random walks steps.As such,the PMAC of the core nodes replaces the final convergence of all the nodes in the whole matrix.Finally,based on the approximation convergence transition matrix,we cluster the communities around core nodes and use a closeness index to merge two communities.By recursively repeating the process,a dendrogram of the communities is eventually constructed.We validated the performance of the PMAC by comparing its results with those of two representative methods for three real-world networks with different scales.     

Hamilton线图中的泛圈性

对于图Ｇ的边ｅ＝ｕｖ，定义ｄ（ｅ）－ｄ（ｕ）＋ｄ（ｖ），这里ｄ（ｕ）和ｄ（ｖ）分分别表示ｕ和ｖ的度，该文的主要结果是：对阶为ｎ（ｎ≥４０）的简单连通图Ｇ，如果对Ｇ中任意两条边距离为２的边ｅ１，ｅ２都有ｄ（ｅ１）＋ｄ（ｅ２）≥ｎ，并且线图Ｌ（Ｇ）是Ｈａｍｉｌｔｏｎ的，则Ｌ（Ｇ）是泛圈的，并且条件Ｌ（Ｇ）是Ｈａｍｉｌｔｏｎ是必要的。     

HARICH-CHANDRA MODULES OVER LIE SUPERAL GEBRAS

In this paper, we obtain a theorem for the classification of the irreducible Harich-Chandra modules over G, Where G is a basic classical Lie superalgebra of I type. And the list of the classi-ficatication is given for G=A(1,0).     

教学机器人实验系统的开发

本文首先介绍了教学机器人实验系统的设计思想和系统构成，然后对其工作方式及与上位机的联机操作方法作了简要的说明，最后对该系统中模拟通用机器人语言所开发的模拟机器人语言的语句及应用这种机器人语言进行编程的特色作了专门的阐述．     

三峡库区移民区曲溪小流域能源利用分析

通过分析小流域的能源资源现状、不同时期能源需求变化对生态环境的影响、秸秆利用对坡耕地生产力的影响、经济发展对生物质能需求影响、节能及替代能源对生物质能需求的影响等,提出了解决能源问题,促进生态环境持续改善的对策.     

系列硫氮环分子的量子化学从头算研究

本文用从头算方法,采用 STO—3G 基组,对系列硫氮环分子(包括未知分子)的基态几何构型进行了全优化,在优化的结果基础上,比较了硫氮环分子的稳定性,得出了硫氮环分子的稳定构型,本文还讨论了硫氮环分子的芳香性问题,说明在硫氮环系列分子中,只有一部分具有“多电子芳香性”。同时预测了 S_2N_3~+和 S_5N_~(2+)合成的可能性。     

S9000DCS系统功能扩充及其软件开发

对美国ＨＯＮＥＹＷＥＬＬ公司Ｓ９０００ＤＣＳ系统软件和系统数据进行了结构分析，着重研究并总结出Ｓ９０００历史数据库的数据结构，开发出ＴＳＲ型实用软件，实现了Ｓ９０００汉化报表生成，同时也拓宽了Ｓ９０００在工业生产中的实际应用范围。     

矿区铁路专用线下综采放顶煤开采的试验研究

介绍了国内第一个综采放顶煤开采矿区铁路线下压煤试验面的成功经验，总结了试采中对铁路所采取的各种分析和维护措施，分析了该采煤方法下的地在移动和变形特点，为我国“三下”采煤领域提供了具有特色的成功实例。     

Functional magnetic resonance imaging of amphetamine craving

The aim of this study is to identify the brain activity associated with amphetamine craving for understanding the neurobiology of addiction by watching pictures of happy, sad or amphetamine. Brain activity was measured in 12 amphetamine addicts and 12 healthy subjects by fMRI while the subjects watched pictures designed to elicit happy feelings, sad feelings, or the desire to use amphetamine. The result demonstrated that amphetamine cues led to abnormally high cingulate and low frontal lobe activation in amphetamine addicts, who showed abnormalities in affect-related brain activation.     

健康的个性与数学教育的相互作用

本文探讨了健康的个性对数学教育的积极作用,同时又论述了数学教育对培养学生健康的个性的重要意义.