数学建模与素质教育

面对二十一世纪知识经济的挑战 ,我国高等教育模式应由应试教育 ,专业教育向素质教育转变 ,培养学生自主意识 ,效率意识 ,竞争意识 ,创新意识和民主意识 ,即高校教育应重视大学生的创新能力、实践能力和创业精神 ,普遍提高大学生的人文素质和科学素质 .本文拟就提高大学生素质的有效层面 ,对开展数学建模教学与实践进行深入分析 ,以窥探数学建模与素质教育之关系 .在深入把握数学建模教学与实践内涵的同时 ,分析得出这种以不打扰现行正常秩序的教育是提高大学生素质的有效途径之一     

钢球质量监测最佳抽检方案的确定

本文介绍概率抽样法在钢球生产过程中的应用,通过此法确定钢球生产中各工序质量监测的最佳抽检方案,以确保产品被接受的概率最大。     

CDMA蜂窝移动通信系统中的无线资源管理算法研究

无线资源管理是CDMA蜂窝移动通信系统保证业务质量(QoS)和提高频谱利用率的关键技术，本文提出了CDMA系统中无线资源管理算法的一般模型，阐述了三种重要的无线资源管理算法，即功率控制算法、呼叫接纳控制算法和分组调度算法的主要研究情况，并分析了目前研究中仍然存在和需要解决的问题。     

Rough隶属函数关于集合并与交的一种高精度计算方法

近些年来，许多处理近似问题的方法陆续被提出，其中利用Rough集理论计算两个集合的并和交的Rough隶属函数方法是被用较多的一种方法，但毕竟该方法精度较差。为此，介绍了一种精度较高的计算两个集合的并和交的Rough隶属函数方法，它克服了前者利用Rough集理论计算Rough隶属函数的复杂性，而迎来了简单和高精度的特点。     

HILBERTIAN INVARIANCE PRINCIPLE FOR EMPIRICAL PROCESS ASSOCIATED WITH A MARKOV PROCESS

The authors establish the Hilbertian invariance principle for the empirical process of a stationary Markov process, by extending the forward-backward martingale decomposition of Lyons-Meyer-Zheng to the Hilbert space valued additive functionals associated with general non-reversible Markov processes.     

STUDIES ON HYPERFINE STRUCTURE AND ISOTOPE SHIFT OF SOME EXCITED STATES IN Yb AND Tm ATOMS

The hyperfine structures and isotope shifts in some excited states of Yb and Tm have been measured using laser-atomic beam interaction, stepwise excitation and fluorescence detection techniques. From the experimental results, magnetic dipole hyperfine constants A and electric quadrupole hyperfine constants B have been derived. So for as we know, the A factor of [4f¹²5d6s6p]9/2 level in Tm is given for the first time.     

Hawking Radiation of Charged Particles via Tunne ling from a Cylindrically Symmetric Black Hole in Anti-de Sitter Space-Time

Applying Parikh-Wilzcek‘s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time.The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein-Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.     

Spin-Dependent Transport and Densities of States in Non-collinear Magnetic Barriers

The spin-dependent transport properties in the non-collinear pattern of series of δ-magnetic barriers are studied by using scattering theory and Green‘s function methods. The Green‘s function is obtained by using distorted wave approach and the scattering matrix is related by Fisher-Lee relationship. In addition to reproducing the results of Papp‘s and Xu‘s in parallel and antiparallel configurations, we also obtain further results, where arbitrary orientations of the magnetic barriers and arbitrary number of barriers are included. The main finding of our results is that the signs of polarizations can be switched around some “geometric unpolarized windows“. The well-known antiparallel configuration has no such characteristics. Furthermore, we discuss spin-related partial densities of states in both polarized and unpolarized structures.     

CRW型交换子在Triebel-Lizorkin空间的有界性

本文考虑交换子[b,T]在 Triebel-Lizorkin 空间上的有界性,其中 b∈BMO(R~n),T 是卷积型奇异积分算子,其核为Ω∈L log~ L(S~(n-1)),给出了该交换子在 F_p~(s,p)(R~n)(s＞0,1＜p,q＜∞) 上有界的一个等价条件．     

特征标高度为0具有例外权的不可约H(2r,n)-模

本文主要利用广义限制李代数的概念研究不可约H(2r,n)-模,确定了特征标高度为0,并且具有例外权(-w)k(k=0,1,2,…,r)的极大向量的不可约H(2r,n)-模.