判别正项级数敛散性的一种方法

给出了一种判别正项级数敛散性的方法.     

河南省小康水平实现程度差异研究

河南省是我国的一个农业大省也是我国第一人口大省,河南省小康水平的发展直接影响着我国小康总体水平的发展。20世纪90年代中期以来,河南省小康水平发展取得长足进展,本文采用综合评分和综合指数相结合的方法,评价了河南省各县小康水平,并对比分析了河南省小康水平的县际差异,揭示产生这些差异的原因,最后提出提高河南省县级小康水平的具体策略。     

Valuable information in early sales proxies: The use of Google search ranks in portfolio optimization

We extract information on relative shopping interest from Google search volume and provide a genuine and economically meaningful approach to directly incorporate these data into a portfolio optimization technique. By generating a firm ranking based on a Google search volume metric, we can predict future sales and thus generate excess returns in a portfolio exercise. The higher the (shopping) search volume for a firm, the higher we rank the company in the optimization process. For a sample of firms in the fashion industry, our results demonstrate that shopping interest exhibits predictive content that can be exploited in a real‐time portfolio strategy yielding robust alphas around 5.5%.     

企业群落生态化演进动力机制的比较

采用系统线性和非线性演化两种观点对企业群落生态化演进机制进行了比较研究。研究发现,作为复杂的经济社会系统,企业群落生态化进程实质属于系统非线性演化,相比系统线性演化的唯一收敛平衡态——“所有企业最终都将演变为生态型”而言,系统非线性演化所产生的“分岔”效应具有现实意义,即混合状态(生态型与非生态型以一定比例混合存在)是系统演化所产生的稳定平衡点,而系统单向收敛至一种平衡态(全部企业为生态型或非生态型)则不稳定,且脱离生态工业实践。研究结果对于系统、科学地制定工业生态化政策具有重要的意义。     

明胶胶凝过程中的流变力学性质研究

本文研究了明胶胶凝过程中的流变力学性质,发现粘滞系数η与切速 r 有幂律关系;在胶凝发展过程中,指数 n 从0逐渐变化到胶凝点 x=-1/2.还发现η按∈~(-k)发散,在 f=0.005Hz 条件下,实验测得 k=1.48,而幂律发散范围为0.1—0.2≤∈≤0.6—0.7,随着浓度增加,幂律发散范围减小。     

级数判敛法在应用中应注意的问题

级数理论是数学分析的重要组成部分,它是研究函数的一个重要工具.指出证明∑∞n=1an(an 0)收敛和∑∞n=1un(x)一致收敛时应注意的几个问题.     

级数的一个通项公式

给定级数的前任意有限项,级数并不能被唯一地确定,因此其敛散性由给定的前有限项而确定出的不同通项表达式而异。该文介绍了关于级数的一个通项公式与两个结论。     

椭圆型偏微分方程解的研究

利用泛函分析理论证明椭圆型方程弱解的存在性。     

Growth, structure and upconversion mechanisms of Ba2ErCl7 crystal

The methods to grow a novel upconversion crystal Ba₂ErCl₇ are reported in this note. Ba₂ErCl₇ material was synthesized with Er₂O₃, BaCl₂·2H₂O and NH₄Cl by using a so-called “direct synthesis method”. High quality Ba₂ErCl₇ single crystals with size up to 4 mm×8 mm×15 mm were grown by using the Czochralski and the Bridgman methods. Intense yellow-green luminescence was detected when the crystal was pumped by an 803 laser diode (LD). Transmittance spectrum was measured by using HITACH U-3500 spectrophotometer at room temperature for the first time, in which one can see that the transmittance is high in the range from 350 to 1 600 nm and the cut-off wavelength of the crystal was 230 nm. The upconversion mechanisms were discussed.