Cosmology in one dimension: A two-component model

We investigate structure formation in a one dimensional model of a matter-dominated universe using a quasi-Newtonian formulation. In addition to dissipation-free dark matter, dissipative luminous matter is introduced to examine the potential bias in the distributions. We use multifractal analysis techniques to identify scale-dependent structures, including clusters and voids. Both dark matter and luminous matter exhibit multifractal geometry over a finite range as the universe evolves in time. We present the results for the generalized dimensions computed on various scales for each matter distribution which clearly supports the bottom-up structure formation scenario. We compare and contrast the multifractal dimensions of two types of matter for the first time and show how dynamical considerations cause them to differ.     

Banach空间中有限个极大单调算子公共零点的投影算法

设计了一种带误差项的新投影迭代算法,利用Lyapunov泛函与广义投影映射等技巧,在Banach空间中,证明了迭代序列强收敛于有限个极大单调算子公共零点的结论.     

U_q(sl_2,C)单位根时的中心以及非负部分的刻画

定义了sl_2一种新的量子代数U_q(sl_2,C),它是U_q(sl_2)的推广.设(U_q(sl_2,C))^(≥0)是U_q(sl_2,C)的非负部分,刻画了(U_q(sl_2,C))(≥0)是U_q(sl_2,C)的非负部分,刻画了(U_q(sl_2,C))^(≥0)的中心,(U_q(sl_2,C))(≥0)的中心,(U_q(sl_2,C))^(≥0)上的所有有限维不可约表示以及单位根时U_q(sl_2,C)的中心.     

New trends of fractional modeling and heat and mass transfer investigation of (SWCNTs and MWCNTs)-CMC based nanofluids flow over inclined plate with generalized boundary conditions

In this paper, we have considered unsteady MHD viscous fluid flow of Carboxyl methyl cellulose (CMC) as based fluid and Carbon nanotubes CNTs (SWCNTs, MWCNTs) nanoparticles passing through an inclined plate of infinite length. Furthermore, the effects of heat source, chemical reaction, porosity and MHD are considered. Fractional model is developed by Caputo time fractional derivatives though recent trends of fractional modeling. The semi exact solutions are obtained for the governing equations in dimensionless form by Laplace transform method. Influence of fractional and other flow parameters on temperature, concentration and velocity fields are graphically illustrated. The Nusselt number, Sherwood number and skin friction are computed for fixed values of flow parameters and presented in tabular form. As a result, for larger values of fractional parameters temperature, concentration and velocity fields can be enhanced. A comparison has been drawn between SWCTs-CMC and MWCTs-CMC based nanofluids and found that MWCTs based nanofluids are more efficient in heat transfer than SWCTs-CMC based nanofluids. Further, in the absence of nanoparticles the obtained results are reduced to recently published results and this fact have been proved graphically and they are in good agreement.     

A Class of Strong Limit Theorems and Moment Generating Function Method

In virtue of the notion of likelihood ratio and moment generating function,the limit properties of the sequences of absolutely continuous random variables are studied,and a class of strong limit theorems represented by inequalities with random bounds are obtained.     

工程项目承包服务业主需求重要度确定方法研究

工程服务质量日渐成为承包商企业提高竞争力并获得长期发展的一个重要因素.但传统的对工程服务质量的研究大都忽略了业主需求,对此,本文基于QFD(质量功能展开)理论,结合专家组与顾客双渠道的需求信息来源,提出了集成Kano模型与区间层次分析法的业主需求重要度的计算方法,提升了需求重要度确定的合理性并将顾客的需求偏好信息充分反映到计算过程中,使得承包商企业能够运用科学准确的业主需求信息提高自身服务质量.通过对算法的实际应用,得出业主需求重要度的排序,承包商可以根据该排序对自身服务质量进行评价与改进,证明了该方法可行且有效,具有一定的实践价值.     

康托尔实数的局限性

康托尔为我们建立了集合论，并且证明了实数的不可数性，但是其中留下了很多疑点． 1．—个实数能在每—个集合论模型中出现的充分必要条件是它是可以被集合论来定义的．那些在集合论模型中不出现的实数，我们可以把他们叫做看不见的实数． 2．在实数的十进位无穷小数表示法中有些是我们能确切地知道它的第几位是什么，但是对另外的一些实数我们对它们就只能有模糊的认识，也就是说它的第几位是什么我们不可能全部知道．我们可以把他们叫做写不出的实数． 3．由于Cantor关于实数是不可数的证明不是构造性的证明，而是用所谓的归谬证法．它们中有很多是看不见写不出的实数．因此说它们是虚拟的实数． 4．虚拟实数就像银行中的虚拟货币，你可用它来买东西，它可从—个户头转拨到另—个户头，但是钱的实体是不存在的。这个现象也让我们对某些数学工具的合法性挺出质疑．我们用对角线法来证明实数的基数比自然数的基数大。但是我们并没有真正有效的地构造出那么多的实数．因此我们没有办法来确切地定义它们．也可以说它们中的绝大多数是不可以定义的．在一般的情况下虚拟实数是不可以个别地使用的．     

基于ICA-SV模型的金融市场协同波动溢出分析及实证研究

对于动态投资组合与风险管理来说,测定波动溢出效应是非常重要的.已有的文献证明SV模型比GARCH模型能够更好地刻画金融市场的波动,使用SV模型研究两个金融市场间波动溢出的文献并不多见,而使用SV模型研究多个金融市场对一个金融市场协同波动溢出的文献则更为少见.本文以独立成分表示金融市场波动的协同指标,提出了独立成分SV模型(ICA-SV),并研究了多个金融市场对一个金融市场的协同波动溢出,实证结果验证了ICA-SV模型在分析金融市场协同波动溢出是可行的.     

Banach空间中极大单调算子零点的投影算法

本文设计了一种极大单调算子零点的带误差项的新投影迭代算法,并在Banach空间中,利用Lyapunov泛函与广义投影映射等技巧,证明了迭代序列强收敛于极大单调算子零点的结论.