Nonturnpike Optimal Solutions and Their Approximations in Infinite Horizon

Recently, the authors have proposed a new necessary and sufficient condition for turnpike optimality in calculus of variations with singular Euler equation. The method is based on a characterization of the value function and generalizes the well known method based on the Green theorem. Furthermore, it allows the optimality of a competition between several turnpikes to be characterized. For a class of such problems not enjoying the turnpike property, we give an explicit formula for the value function and show how to characterize the optimal solution as the limiting solution of a family of perturbed problems satisfying the turnpike property. The considered problems are scalar with infinite horizon.     

用横场伊辛模型研究退极化场对铁电薄膜的影响

考虑到退极化场对铁电薄膜性质的影响,提出了一个改进的横场伊辛模型,在平均场理论的框架下研究了薄膜的一系列铁电行为.计算结果表明退极化场使薄膜的自发极化曲线更加平坦,膜的极化变得更加均匀,得到了与朗道—金兹堡理论的一致结果.     

四苯基卟啉蒽醌化合物与钴(Ⅱ)配位反应动力学

用光度法研究了5-[p-(β-蒽醌酰亚胺)甲氧基]-10，15，20-对甲基四苯基卟啉(H2TPP)在DMF溶剂中与金属钴(Ⅱ)离子配位反应的动力学以及镉(Ⅱ)离子对该反应的催化作用，提出了反应机理，并研究了温度对反应动力学参数的影响，求得基元反应的活化参数△rHm^≠、△rSm^≠及平衡步的△rHm^θ、△rSm^θ．     

《西北学术》的科技内容及其主旨

运用科学史研究方法，对《西北大学学报》的前身之一《西北学术》的科技史价值和办刊宗旨进行讨论。认为该刊为20世纪40年代西北大学的最高学术论坛，其有关西北国防化、西北学术思想、西北地理、西北物理学会的研究和活动等内容，突出了西北大学的区域特色。     

关于"当事人承认"的基本问题

在民事诉讼中，当事人承认作为当事人陈述的一种，有其独特的作用，它既可免除对方当事人的举证责任，也对法院的判决起着约束作用。     

大南宁都市圈形成背景下的区域综合生态保护策略研究

广西境内由南宁市、北海市、钦州市、防城港市组成的桂南经济区是广西乃至北部湾区域的核心经济区和最有竞争力的城市群，为适应大西南区域联动发展以及我国与东南亚经贸合作日益加强的发展趋势，今后本区城市群规模和辖区势必进行重新调整，并极有可能形成以大南宁都市圈为中心的环北部湾新兴经济增长极．以上述四城市为例，探讨与城市空间形态变化以及社会经济发展需求相适应的可行的区域综合生态保护策略．     

图的直积和字典积的Laplacian谱和Kirchhoff指数

由图G1、G2的Laplacian谱得到了它们的直积G1×G2和字典积G1[G2]的Laplacian谱,并计算了R(G1×G2)和R(G1[G2]).     

Environmental Issues of Geothermal Development in Yangbajing, Tibet and the Countermeasures

The pollution source and pollution state of surface water is respectively assessed with equal-standard-pollution-load index and Nemero index, and the habitans' health is assessed as well by comparison with pre-development of geothermal field. Results show that: 1 ) Three pollutive factors obviously fail to attain the required standards and their order sorted by impact degree is As＞F- ＞S2-. 2) The Nemero index of Donggua cross section of Duilongqu River is 0. 725and the water quality is at mildly-polluted level. 3) In Lhasa River, the Nemero indexes of cross sections affected by geothermal fields are much higher than that of the unaffected one, which shows the present and potential impacts of geothermal development. 4) Much more inhabitants nearby got trichomadesis sickness after geothermal development, which shows that the surface water pollution in this area has threatened the inhabitants' health. In addition, other environmental issues caused by Yangbajing geothermal development are analyzed and some countermeasures are proposed.     

磁悬浮长大干线车站设计的探讨

在综合考虑磁悬浮长大干线特点基础上,参考高速铁路车站的类型特点,根据磁悬浮线路特点和在长大干线上磁悬浮列车的运行特点,从磁悬浮车站的分类、站型设计和站场相关参数的计算等方面探讨了磁悬浮长大干线车站的设计.     

基于认知的计算机辅助教学模型的研究

对计算机辅助教学在教学理念、教学模式、教学层面、教学手段、教学语言和教学氛围等方面的问题进行了分析,提出了基于认知的计算机辅助教学设计的模型,该模型突出学生是教学活动中的认知主体,模型具有开放式的教学理念,智能的教学模式,启发式的教学层面,多媒体的教学手段,双语教学手段和群体教学氛围等特点。