完备度量空间中的不动点

使用w距离概念, 证明了在2个完备度量空间中2个新的不动点定理, 其中之一的结果为: 设(X, d)和(Y, ρ)是2个完备度量空间, 设p1是X上w-距离和p2是Y上w-距离. 如果T是一个从X到Y的连续映射和S是一个从Y到X的映射, 对X中所有x, x'和Y中所有y, y'以及 o＜c＜1, 满足不等式p1(STx, STx')≤cmax{p1(x, x'), p1(x, STx), p1(x', STx'),p1(x, STx')/2, p2(Tx, Tx')}和p2(TSy, TSy')≤cmax{p2(y, y'), p2(y, TSy),p2(y', TSy'), p2(y, TSy')/2, p1(Sy, Sy')}. 证明了ST在X中有惟一不动点z和TS在Y中有惟一不动点w. 这2个定理推广了 Fisher和Namdeo等人的不动点定理.     

建构民国时期(1912-1949)社会发展指标体系的几点思考

本文从理论上探讨建构民国时期社会发展指标体系的诸问题 ,以期为进一步的实证研究奠定基础。内容涉及计量史学与社会发展指标体系、经济发展与全面社会发展、建构民国社会发展指标体系的原则、参照系、以及该指标体系的框架与内容等     

单位球面上的Moebius极小子流形

本文给单位球面上的子流形为Moebius极小子流形的一个充要条件,并证明了S3中不含脐点的曲面为极小曲面当且仅当它为常平均曲率的Moebius极小.     

引力场中电磁波的传播和光线偏折

The gauge invariance of the electromagnetic field in gravitational field is an important question. We prove d' Alembert equation in gravitational field with gauge invariance under the Lorentz condition. Using the kinematic equation of photon in normal static and spherically symmetric gravitational fields, we deduce the orbital equation of photon. As a special example, we explicate the deduction and discussion about the deviation angular of light in Reissner-Nordstrom space-time.     

在S2或T2上HCMU的曲率的光滑性

HCMU是一种在Riemann面上带奇点的extremal度量．在面积和Calabi能量有界的情况下, HCMU的Gauss曲率是Riemann面上的连续函数．本文得到一个在球面上没有Gauss曲率鞍点的HCMU的明显表达式,并进一步证明了在球面或环面上HCMU的Gauss曲率光滑的充要条件是度量的所有奇点的角度都是整数．     

集值映射的Clarke不动点定理

提出了完备度量空间(X,d)到其全部非空有界子集族B(X)的下半连续集值映射一条不动点定理,使Clarke[1]不动点定理成为本文定理的特例。     

RIP路由协议技术

分析RIP路由协议技术,认识RIP路由协议在网络中如何实现路由,及RIP路由协议的相关知识点。     

关于绿色化学概念的讨论

随着绿色化学研究和实践的不断深入,其定义在不断的发展和变化,其内涵也逐步变得完善和丰富。基于对绿色化学相关文献的研究和分析,就绿色化学的定义、原则及其评估指标等进行阐述,期望对绿色化学概念及内涵能给出一个相对清晰的认识。     

Extractive speech summarization using evaluation metric-related training criteria

The purpose of extractive speech summarization is to automatically select a number of indicative sentences or paragraphs (or audio segments) from the original spoken document according to a target summarization ratio and then concatenate them to form a concise summary. Much work on extractive summarization has been initiated for developing machine-learning approaches that usually cast important sentence selection as a two-class classification problem and have been applied with some success to a number of speech summarization tasks. However, the imbalanced-data problem sometimes results in a trained speech summarizer with unsatisfactory performance. Furthermore, training the summarizer by improving the associated classification accuracy does not always lead to better summarization evaluation performance. In view of such phenomena, we present in this paper an empirical investigation of the merits of two schools of training criteria to alleviate the negative effects caused by the aforementioned problems, as well as to boost the summarization performance. One is to learn the classification capability of a summarizer on the basis of the pair-wise ordering information of sentences in a training document according to a degree of importance. The other is to train the summarizer by directly maximizing the associated evaluation score or optimizing an objective that is linked to the ultimate evaluation. Experimental results on the broadcast news summarization task suggest that these training criteria can give substantial improvements over a few existing summarization methods.     

数据级别计量——概念辨析与实践进展

数据级别计量是推进科学数据开放共享的一种途径,旨在识别科研人员对数据工作的贡献。数据级别计量是指在数据共享的背景下,主要和数据发布与数据引用相关的计量,包括但不限于Altmetric和论文级别计量(ALM),数据级别计量中,"数据引用"不仅采用文献之间的参考文献,而且扩展到数据和文献、数据和数据集、数据和数据之间的多重关系,且更进一步关注"数据"、"学术记录"以及与学术记录紧密相关的"个人"。数据级别计量涉及三个核心概念:数据共享、数据引用、数据发布。根据科研数据权益管理流程,笔者建立了包括24条广义科研数据以及科研数据的权利与利益关系、形式、政策在内的研究框架。图书馆可充分发挥已有数据的作用,进行新的知识服务。图5。表1。参考文献101。