Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space

Perturbation and robust controllability of the singular distributed parameter control system are discussed via functional analysis and the theory of GE-semigroup in Hilbert space.The perturbation principle of GE-semigroup and the sufficient condition concerning the robust controllability of the singular distributed parameter control system are obtained,in which the controllability for singular distributed parameter control system is not destroyed,if we perturb the equation by small bounded linear operator.     

试论《洪水》杂志与时代的互动

《洪水》作为创造社出版部的一份重要刊物,一方面,紧跟时代发展潮流,凸显刊物的价值追求,要破坏旧世界,创造新世界,另一方面,积极营造公共空间,努力争取读者支持,摈弃大量商业性广告,凸显文学本色,从而扩大杂志的影响力与号召力,发挥杂志媒介的社会功能和政治功能。     

一类特殊的拓扑空间——θ-复形

发展了Dikranjan构造若干个Hausdorff非正则的想法,给出了一类特殊拓扑空间——θ-复形的定义,并列举了几个典型例子进行说明.     

四元数射影空间中的全实2 调和伪脐子流形

利用活动标架法研究四元数射影空间中的全实2 调和伪脐子流形, 得到了这类子流形成为极小子流形的刚性定理, 推广了Simons型积分不等式.     

再生核空间中时间分数阶扩散方程的数值解法

提出一种简单的求解时间分数阶扩散方程的新方法,数值结果表明该方法是有效的.     

量子化学中的左矢问题

左矢是量子化学基础理论中一个重要的基本概念.从泛函分析的基本理论出发探讨了左矢的数学意义,并给出了左矢的一些特殊性质.     

狄尼(Dini)定理的推广

将著名的Ｄｉｎｉ定理拓展为拓扑空间到线性拓扑空间或度量空间的连续映射，并给出推广后定理的几种证法及一些推论。     

并联六自由度微动机器人机构的设计方法

并联机构的对称性、高精度和高刚度等优点使其适合作为微动机器人机构 ,因此并联机器人的分析与设计理论和方法可推广应用于微动机器人。研究微动机器人机构的设计方法 ,建立了并联六自由度 Stewart微动机器人的空间模型 ,并分析了该微动机器人的机构尺寸与性能指标的关系 ,得到了各向同性、刚度性能图谱 ,是探讨微动机器人机构设计的有效分析工具     

Semantic-Oriented Knowledge Transfer for Review Rating

With the rapid development of Web 2.0, more and more people are sharing their opinions about online products, so there is much product review data. However, it is difficult to compare products directly using ratings because many ratings are based on different scales or ratings are even missing. This paper addresses the following question: given textual reviews, how can we automatically determine the semantic orientations of reviewers and then rank different items? Due to the absence of ratings in many reviews, it is difficult to collect sufficient rating data for certain specific categories of products (e.g., movies), but it is easier to find rating data in another different but related category (e.g., books). We refer to this problem as transfer rating, and try to train a better ranking model for items in the interested category with the help of rating data from another related category. Specifically, we developed a ranking-oriented method called TRate for determining the semantic orientations and for ranking different items and formulated it in a regularized algorithm for rating knowledge transfer by bridging the two related categories via a shared latent semantic space. Tests on the Epinion dataset verified its effectiveness.