A Capital Asset Pricing Model Under Stable Paretian Distributions in a Pure Exchange Economy

In this paper, we established a Capital Asset Pricing Model (CAPM) subject to the assumption that the asset return rates obey symmetric stable Paretian distributions. This assumption seems to be closer to reality than the standard ones such as normality or finite variance. Conclusion similar to the original CAPM formula is drawn in this paper.     

Solitary Wave and Non-traveling Wave Solutions to Two Nonlinear Evolution Equations

By applying the extended homogeneous balance method, we find some new explicit solutions to two nonlinear evolution equations, which include n-resonance plane solitary wave and non-traveling wave solutions.     

一种平衡性的中药微量元素制剂—“新微宝”

从中药单方验方中筛选出十余种富含人有益微量元素的中药材，经科学提取织经加工成含锌、硒、碘、铁、锰、铜等十余种微量元素及中药有要有效的成分的中药微量元素复方制新－－“新微宝”，主治缺锌综合症及作为慢性疾病和健康人的微量元素增补剂，能克服单一补锌制剂对其它微量元素吸收产生的拮抗效应，是一种新型平衡性的中药微量元素制剂。     

Banach空间中微分方程的渐近平衡性

该文考虑微分方程组的渐近平衡性，这里ｆ１（ｔ，ｘ，ｙ）满足非紧性条件，ｆ２满足耗散型条件．其中的推论１．１去掉了文［１］中的一致连续性条件，改进和推广了文［１］的结果．     

有限域上随机变量联合分布及二阶矩的分解与应用

本文给出了有限域上随机变量联合概率和二阶矩的分解公式，给出了有限域上随机变量相互独立的谱刻划，应用上述结果，建立了在进行频次分析时，对有限域上随机向量构造的Χ平方统计量与该随机向量坐标函数的非零线性组合的Χ平方统计量之间的内在联系，给出了有限域上相关免疫函数谱特征的新证明，建立了有限域上多输出函数的差分分布与其广义Chrestenson循环谱之间的内在联系，建立了多输出函数的平衡性其差分分布之间的内在联系。     

广义正交表方差分析的矩阵计算形式

广义正交表是一种类似于正交表的新设计.它是正交表的推广,可以像正交表一样进行试验设计和数据分析,但试验次数大幅减少.方差分析是统计推断的内容之一,本文从自由模型出发考虑方差分析,采用矩阵象技术,给出了广义正交表方差分析的矩阵计算形式,借助SAS软件可以方便快速的实现.     

Revisiting Controlled Quantum Secure Direct Communication Using a Non-symmetric Quantum Channel with Quantum Superdense Coding

Recently Xia and Song [Phys. Lett. A 364 （2007） 117] have proposed a controlled quantum secure direct communication （CQSDC） protocol. They claimed that in their protocol only with the help of the controller Charlie, the receiver Alice can successfully extract the secret message from the sender Bob. In this letter, first we will show that within their protocol the controller Charlie＇s role could have been excluded if it were not for their unreasonable design. We then revise the Xia-Song CQSDC protocol such that its original advantages are reta/ned and the CQSDC can be really realized.     

赋权图的w密度和w平衡性

The notion of w-density for the graphs with positive weights on vertices and nonnegative weights on edges is introduced. A weighted graph is called w-balanced if its w-density is no less than the w-density of any subgraph of it. In this paper,a good characterization of w-balanced weighted graphs is given. Applying this characterization ,many large w-balanced weighted graphs are formed by combining smaller ones. In the case where a graph is not w-balanced,a polynomial-time algorithm to find a subgraph of maximum w-density is proposed. It is shown that the w-density theory is closely related to the study of SEW(G,w) games.     

Charge and Levitation of Grains in Plasma Sheath with Dust Thermic Emission

By taking into account thermic emission current from hot dust surface, the problem involved in dust charging and levitation of dust grains in plasma sheath has been researched. The results are compared to that without including thermal emission current while the system parameters are same. It is found that the thermal emission current has played a significant role on modifying the dust charging and balance levitations. Both of the charging numbers of dust and the dust radius in balance are dramatically reduced. The stability of dust levitation is also analyzed and discussed.     

不规则地形上浅水模拟平衡性的实现

天然河道地形复杂而无规律,采用守恒型浅水方程进行水流运动数值模拟时往往会出现不平衡现象。本文在任意四边形网格的基础上采用Roe方法对守恒型浅水方程进行离散,针对连续方程离散后所出现的不平衡性,从原方程及离散方法的物理实质出发提出了局部水位法,使该问题得以解决;参照数值通量构造方法采用有限体积法构造了底坡项的离散方式,消除了动量方程底坡项离散后可能出现的虚假流动现象,同时保证了物理量的守恒性。将模型应用于松花江佳木斯河段的水流模拟中,其计算结果表现出了良好的守恒性、收敛性和平衡性。