Infinite sequences and their h-type indices

Starting from the notion of h-type indices for infinite sequences we investigate if these indices satisfy natural inequalities related to the arithmetic, the geometric and the harmonic mean. If f denotes an h-type index, such as the h- or the g-index, then we investigate inequalities such as min(f(X),f(Y)) ≤ f((X?+?Y)/2) ≤ max(f(X), f(Y)). We further investigate if: f(min(X,Y)) = min(f(X),f(Y)) and if f(max(X,Y)) = max(f(X),f(Y)). It is shown that the h-index satisfies all the equalities and inequalities we investigate but the g-index does not always, while it is always possible to find a counterexample involving the R-index. This shows that the h-index enjoys a number of interesting mathematical properties as an operator in the partially ordered positive cone (R⁺)^∞ of all infinite sequences with non-negative real values.In a second part we consider decreasing vectors X and Y with components at most at distance d. Denoting by D the constant sequence (d,d,d, …) and by Y-D the vector (max(y_r-d), 0)_r, we prove that under certain natural conditions, the double inequality h(Y-D) ≤ h(X) ≤ h(Y?+?D) holds.     

网络信息检索中利用the Staceys测度方法提高逻辑运算效率的思考

网络信息检索中,逻辑运算符AND连接检索词的顺序很大程度上会影响检索效率.论文首先分析、介绍了the Staceys测度方法在改善AND检索效率中发挥的作用,并在此基础上提出简化了的测度算法,最后通过实例说明其实现步骤.     

当代自由主义的困境——论哈耶克、约翰·顿、罗尔斯和罗蒂

非常感谢高瑞泉教授的邀请,使我十分荣幸能有机会来华东师范大学主持第九期大夏讲坛。今天我演讲的题目是“当代自由主义的困境——论哈耶克、约翰&;#183;顿、罗尔斯和罗蒂”。正如在座诸位知道的那样,这个演讲其实是我这次在华东师范大学系列演讲的第三讲。前两讲的题目分别是“人类学文化观念中的知识论意蕴”和“文化观念中的知识论意蕴：中西哲学的讨论”,其出发点就是去探讨如何以哲学思辩的方式来会通中西。     

让我们更多地认识城市与城市研究(二)

本文是美国圣地亚哥大学教授詹姆斯·A·克莱普2008年4月在北京城市学院的演讲,演讲共三场。为便于读者全面地理解克莱普教授的演讲内容,全部演讲内容被编译成一篇。本文是根据演讲记录稿整理后,经克莱普教授本人审定英文稿编译。