Influence of Node Dynamics on Cluster Global Time Continuity

The cluster global time can change in wireless sensor networks due to leader re-elections and node disabilities between two successive synchronizations,which will affect temporal relationships.This paper analyzes cluster global time continuity,using global time change models for the node dynamics.The results prove that defining the global time using the cluster average time(AGT) is more stable than defining it using a single node’s local time(SGT).With normally distributed clock-parameter assumptions,the AGT change bounds are at most 70.7% of those for the SGT’s.The impacts of the initial phase and frequency skew distributions on the global time continuity are also investigated to show that the initial phase variations may strongly influence the continuity.Simulations show that the AGT is more stable with less disabled nodes or larger clusters.The appropriate cluster size is 20-40 when there are less than 15 disabled nodes.     

Preparation, structure, and properties of polyurethane foams modified by nanoscale titanium dioxide with three different dimensions

TiO2-based nanosheets (TiNSs), TiO2-based nanotubes (TiNTs) were prepared by hydrothermal processing, and polyurethane foams with TiO2 nanopowders (P25), TiNSs and TiNTs were synthesized by free-rising foaming method. The Fourier-transform infrared (FT-IR) spectra show that the addition of titanium dioxide does not affect the chemical structure of polyurethane foam. However, microscope observations show that PU/TiNSs composite foams have more uniform cells and the average aperture smaller than that of pure poly-urethane foams. According to the results of thermal analysis, the PU/TiNSs composite foams have better thermal stability, the temperature of decompostion occurring with a maximum weight loss rate is about 30 ℃ higher than that of pure PU foams. The decompostion temperatures are 167 ℃ and 148 ℃ for the PU/P25 composite foams and the PU/TiNTs composite foams respectively, which are lower than that of pure PU foams. Moreover, with the addition of the fillers, the sound absorption property also has changed; the addition of TiNSs improved the sound absorbing property efficiently. The better thermal stability and sound absorption of PU/TiNSs composite foams are mainly due to the uniform cells diffuse and smaller aperture.     

Lagrange插值在一重积分Wiener空间下的平均误差

在加权L2范数逼近意义下确定了基于扩充的第一类Chebyshev结点组的Lagrange插值多项式列在一重积分Wiener空间下平均误差的强渐近阶．     

学生成绩评价数学建模

为了解决学生的学习状态的评定问题。采用以学生成绩为基础,概率统计理论为依据,制定了两个综合评价学生成绩模型的方法。研究了学生的学习状况的评价。实践证明这两种方法能够更全面、客观、合理的评价学生的学习状况。该成果对学生的学习状况的评价具有一定的参考价值和指导意义。     

须丛曲线理论研究

提出了一种测量纤维长度的新制样方法——纤维条梳夹取样法,理论研究了以此法制取试样(即须丛)的纤维长度分布规律,建立了须丛曲线(纤维根数随长度变化规律)理论方程,获得了原样品长度质量分布与须丛曲线的数学关系,并推导出由须丛曲线计算原样品长度质量分布参数(平均长度、主体长度、品质长度、变异系数)的计算公式.     

A relay selection scheme based on geometric optimum in cooperative cognitive systems over mixed channels

This paper proposes a relay selection scheme based on geometric optimum principle to maximize the cognitive link＇ s connectivity with limited interference to primary user in cooperative cognitive systems. A dual-hop cognitive relay system is considered, in which the channel impulse response follows independent non-identical distribution （i. n. d. ） each hop, such as Rician, Rayleigh and Nakagami-m distribution. Then, closed-form expressions in terms of outage probability and average bit error rate （ABER） are obtained using amplify-and-forward （AF） relaying protocol over such mixed fading channels. Furthermore, the best range of the relay is derived. Extensive simulation re- suits are conducted to verify the theoretical analysis, which is useful to the network optimal design.     

关于广义幂平均不等式(Ⅰ)

首先定义了关于n个正数的广义幂平均函数,然后利用关于凸函数的Jensen不等式证明了这个函数是单调增的,作为这个性质的应用,将关于两个正数的几何-对数-指数-算术平均值不等式拓广到n个正数的情形,还证得了关于初等对称函数的一个不等式链。     

新疆地壳的化学成分

根据新疆地区的地理学、地质学、地球物理学和地球化学调查资料,详细研究了新疆地区的大陆地壳模型。新疆地区有五个大地构造单元,它们是阿尔泰褶皱系、准噶尔褶皱系、天山褶皱系,塔里木地台和西昆仑褶皱系。在地壳模型和岩石化学资料基础上,计算和研究了新疆地壳的平均化学成分和主要元素丰度。