拓扑概念与极限

本文通过泛函分析中的实例,建立拓扑的概念,能比较直观地加深对拓扑的实质及极限的理解。     

An ordinal ranking of economic institutions

We provide the first ranking of countries’ economic institutions using an ordinal methodology. Using the five areas of the Fraser Institute’s Economic Freedom of the World (EFW) index, we find that final rankings of a country’s institutions are sensitive to the importance-ordering of Area 1 (Size of Government). When Areas 2–5 are in the most important position, we find that there is no significant difference between the EFW rankings and our rankings. When Area 1 is placed in the most important position, however, a number of European countries with large welfare states but good governance do poorly.     

中国证券业效率测度及分析

本文基于CCR模型、BCC模型与Malmquist指数分解模型对中国证券业进行效率测度,并从横向静态与纵向动态角度分析中国证券业效率影响因素,实证分析得出:当前中国证券业处于低效率发展阶段,效率波动性大。在技术条件不变前提下,纯技术效率是影响综合效率的主要因素,纯技术效率能更大程度对综合效率产生积极影响,促使决策单元形成相对优势,同时还能在一定程度上正向影响规模效应。在技术条件可变前提下,技术进步率是影响综合效率的主要因素,提高技术进步率能使效率前沿面向前移动。本文根据综合效率高低将券商划分为创新型券商;A类券商、规范性券商及B类券商、C、D、E类券商。最后,针对不同类券商并结合其投入产出与效率影响因素,探析三类券商综合效率提升措施。     

Demand by product characteristics: measuring solar cell quality over time

The purpose of this paper is to investigate the impact of innovation quality as a success factor of companies that satisfy demand in government-subsidized science-based markets. This paper focuses on the Photovoltaic market in Germany as a case study. It carries out the analysis in three stages. First, the efficiency of photovoltaic product characteristics is examined using data envelopment analysis (DEA). Second, by means of a metric re-scaling approach, the technical improvement of solar modules offered on the German market is analyzed over time. Next, the results of the second stage are compared to demand growth (evolution of market shares). In conclusion, it can be shown that innovation quality in science-based markets is often an explanation of long-term growth, but occasionally a reduction of performance characteristics meets demand.

Bibliometry and nanotechnology: A meta-analysis

As in other fields of science, bibliometry has become the primary method of gaging progress in nanotechnology. In the United States in the late 1990s, a period when policy makers were preparing the groundwork for what would become the National Nanotechnology Initiative (NNI), bibliometry largely replaced expert interviews, then the standard method of assessing nanotechnology. However, such analyses of this sector have tended not to account for productivity. We hope to correct this oversight by integrating economic input and output measurements calculating academic publications divided by the number of researchers, and accounting for government investment in nanotechnology. When nanotechnology journal publication is measured in these ways, the U.S. is not the leader, as has been widely assumed. Rather, it lags behind Germany, the United Kingdom, and France.     

引力波探测定位的关健问题

本文对引力波探测定位的几个关键问题进行了理论分析,并给出有关的定量解。对引力波的产生与辐射、引力波激励和检测提出了新的理论与方法。     

基于泛函的Petri网特性分析

本文利用泛函的相关内容对Petri网的部分内容进行分析,并得出相关结论。首先,在Petri网的可达标识集上定义度量,形成可达标识集度量空间。其次,研究该空间序列的收敛和发散特性。最后,利用序列收敛和发散性,分析Petri网中变迁乃至整个系统的活性判定定理,并给出Petri网可达标识树和覆盖图完全相互对应的条件。     

On distances and goodness-of-fit tests for detecting multimodal distributions

Various distances between distributions and between densities are considered. The corresponding goodness-of-fit tests derived from them are examined for their abilities to detect multimodal alternatives. It is found that many well known techniques fail to detect such alternatives, while others do better in terms of their power results. These are mainly the tests derived from the variational metric which are based on spacings and gaps.     

一类算子方程解的存在性问题

本文应甲Brezis-Browder极大原则[1]证明了两个关干非线性算子方程解的存在性定理,本文中的定理推广了M.Altman[2]的结果。