广义粗糙集理论的公理化注记

首先回顾了粗糙集理论的代数表示,给出代数表示与公理化算子的相互关系.特别地,给出了广义粗糙集模型的公理化等价表示.     

Difference schemes on non-uniform mesh and their application

High order accurate schemes are needed to simulate the multi-scale complex flow fields to get fine structures in simulation of the complex flows with large gradient of fluid parameters near the wall, and schemes on non-uniform mesh are desirable for many CFD (computational fluid dynamics) workers. The construction methods of difference approximations and several difference approximations on non-uniform mesh are presented. The accuracy of the methods and the influence of stretch ratio of the neighbor mesh increment on accuracy are discussed. Some comments on these methods are given, and comparison of the accuracy of the results obtained by schemes based on both non-uniform mesh and coordinate transformation is made, and some numerical examples with non-uniform mesh are presented.     

基于泛函网络的多维函数逼近理论及学习算法

提出一种多维函数逼近的泛函网络逼近方法,设计了一类用于函数逼近的可分离泛函网络,给出了基于泛函网络的函数逼近学习算法。而泛函网络的参数通过解方程组得到,它们能逼近给定函数到预定的精度。仿真结果表明,这种逼近方法简单可行,具有较快的收敛速度和良好的逼近性能。     

线性流形上反对称次对称矩阵反问题的解

令S={A∈ASn｜AZ=Y,ZT1ZT+1YT2=YT2,Y1Z+2Z2=Y1,ZT1Y1=-YT2Z2,Y,Z∈Rn×m},这里(ZT1　ZT2)=ZTD,(YT1　YT2)=YTD.研究了如下问题:问题Ⅰ　已知X,B∈Rn×n,找A∈S使‖AX-B‖=min.问题Ⅱ　给定A ∈Rn×n,找^A∈SE使‖A -^A‖=min A∈SE‖A -A‖.这里SE是问题Ⅰ的解集合,给出问题Ⅰ的解集合表达式和问题Ⅱ的逼近解.     

近似空间的精细与粗糙以及最佳上下近似的性质

定义近似空间的精细与粗糙的概念并给出了两个等价描述,讨论给定集合的上下近似集在精细与粗糙近似空间中的性质,即随着近似空间的加细,给定集合X的最佳下近似单调上升,最佳上近似单调下降.     

清中后期社会历史文化心态的展现——以小说《荡寇志》为例

《荡寇志》是清中后期保守士人面对西潮涌入、传统文化失落的集体性情感反应的产物,小说作者俞万春以捍卫中国传统文化的基本价值为己任,担负起了文化卫道的使命。但残酷的现实却撕碎了他加强君权、帝制,肃清内乱来重振国威的卫道美梦,小说《荡寇志》便展示了这一特定历史时期各种社会变革思潮下的社会历史文化心态。     

β-环糊精交联聚合物对两种重金属处理研究

采用经改性的β-环糊精对重金属废水进行处理,分析了其对Fe2+、Cu2+、两种重金属离子的去除效果,并研究了β-环糊精交联聚合物投加量、温度、反应时间、p H值等因素对实验效果的影响.实验结果表明,β-环糊精的交联聚合物对Fe2+的去除率可以达到95.8%,对Cu2+的去除率为25.9%.     

Description of rotational properties of the superheavy nucleus ^256,258,260Rf by projected shell model

Band structure of the Z = 104 nucleus 256Rf has been a recent research focus in nuclear physics. We performed projected shell model calculations for this and some other neighboring Rf isotopes. Specifically, we studied rotational properties of these nuclei and showed that variations in dynamic moment of inertia were sensitive to single-particle structures, which may be useful information for locating the anticipated island of stability. Electromagnetic transition properties were also calculated, and measurable quantities were predicted for further experimental test.     

DanHong Injection inhibits the development of primary abdominal aortic aneurysms in apoE knockout mice

Clinical observations indicate that DanHong Injection （DHI） can increase blood flow and reduce various syndromes in patients with cardiovascular disease. How- ever, it still needs to define the function of DHI and the involved mechanisms in details, such as the protective effect on the development of primary abdominal aortic aneurysms （AAAs）. In this study, we determined whether DHI is able to inhibit AAA in apoE knockout （apoE-/-） mice. Thirty apoE-/- male mice on high-fat diet （0.5 % cholesterol, 21% fat） were randomly divided into two groups and received i.p. injection of saline （100 μL/day） and DHI （100 μL/day）, respectively, for 16 weeks. At the end of experiment, we determined the development of atherosclerosis in en face aorta and aneurysms,pathological morphology of arterial wall, and serum lipid levels. We also determined the expression of monocyte chemoattractant protein-1 （MCP-1）, MMP-2, and MMP-9 mRNA in aortic wall using real-time RT-PCR. Our results indicated that high-fat diet induced the development of AAAs in apoE-/- mice, but the induction was totally blocked by DHI （P 〈 0.01）. The result of staining of abdominal aortic cross sections showed that DHI main- tained the collagen content in arterial wall, thereby pre- venting the animals from the development of AAA. Although DHI had little effect on serum total- and LDL- cholesterol levels, it reduced the expression of MCP-1, MMP-2, and MMP-9 mRNA in aortic wall （P 〈 0.01）. Taken together, our study suggests that DHI can inhibit the high-fat diet-induced AAA formation. The inhibitory effects may be related to the maintenance of the collagen content and inhibition of expression of AAA-related genes. Our study may suggest a new application of DHI in clinics.     

(λ,μ)-模糊粗糙子群

本文根据(λ,μ)-模糊正规子群定义了新的同余关系,由此提出了(λ,μ)-模糊粗糙子群和(λ,μ)-模糊粗糙正规子群的概念,并研究了它们的性质.