格值Scott连续映射的网式刻划

近二、三十年来,由于计算机科学所引起的关注,有关序结构的研究日益受到人们的关注.在此背景下,70年代初由Scott等人开创了连续格理论的研究.近年来,受L-不分明紧化理论方面工作的刺激,有关诱导空间和格值半连续映射的研究引起了人们的浓厚兴趣.在文[5]中,徐晓泉较为深入地研究了格值Scott连续映射的刻划及其结构,并就值域为连续格情形建立起了一种相当完善的诱导空间理论——Scott诱导空间理论,丰富了文[2,3]所建立的诱导空间理论.     

一致收敛与二重极限

设f是从积空间E=E_1×E_2的子集W=X×Y到度量空间E'中的映射,这里E_1、E_2、E'分别是具有度量d_1、d_2、d'的度量空间,X、Y分别为E_1、E_2中的子集,于E_1     

格值Scott连续映射与Scott诱导L-拓扑(Ⅰ)

本文首先指出由集X上的拓扑可诱导映射格L~X上的三对重要的算子。基于对这三对诱导算子所作的深入讨论,分别获得了格值Scott连续映射和格值双Scott连续映射的一个分析式刻划和一组富于L-不分明拓扑学特色的刻划。作为特例,得到了保定向并映射的一组拓扑式刻划。上述诱导算子和格值Scott连续映射的刻划具有多方面的应用价值。本文给出了其中的一个应用,续文进一步给出了它们在(1)刻划连续格,超连续格与完全分配格;(2)建立连续格与完全分配格的次直积表示理论;(3)建立Scott诱导空间理论方面的重要应用。     

L-Fuzzy上(下)δ-几乎半连续多值映射及其性质

利用δ-开集研究了LF上(下)δ-几乎半连续多值映射及其等价刻划,并对其性质进行了讨论.证明了若f,g都是上(下)δ-几乎半连续的,则f∨g也是上(下)δ-几乎半连续的;若f是下δ-几乎半连续的,则f也是下δ-几乎半连续的.从而推广了LF上(下)半连续多值映射的相关结论.     

格值连续函数和L—Fuzzy紧性

第一部分研究值域为连续格的一类广泛的格值映射，得到Ｓｃｏｔｔ连续函数分析式、层次式刻划，改进了有关结果。第二部分主要研究不分明紧性，用笛卡积和闭投射给出了Ｆｕｚｚｙ紧性外部刻划定理，将一般拓扑学著名的Ｋｕｒａｔｏｗｓｋｉ定理推广到ＬＦ拓扑学中，同时给出一种不分明完备映射的一个等价刻划，完善了有关结果。     

Z-半连续偏序集的性质

讨论了Z-半连续偏序集上一些映射性质,Z基于不同的映得到了相关的Z-半连续序集的等价刻划．同进还定义了Z-半连续偏序集的基和Z-半代数偏序集,并讨论了Z-半连续偏序集的基的性质和Z-半代数偏序集与Z-半连续偏序集间的刻划．     

Z-局部半连续格

引入广义局部理想子集系统、Z-局部半连续格和强Z-局部连续格的概念,讨论了它们的基本性质,并给出了Z-局部半连续格的若干内部刻画.此外,探讨了Z-局部半连续映射与Z-局部半连续格上的函数空间,推广了相关文献的结论.     

局部凸拓扑矢量空间内的广义拟变分不等式

设X是局部凸空间E的仿紧凸子集 ,F :X→ 2 X 是集值映象 ,φ :X×X→R是实泛函 .研究下列抽象广义拟变分不等式 (AGQVI) :求 ^x∈X使得 ^x∈F(^x)和 φ(^x ,y)≤ 0 , y∈F(^x) ,其中 φ(x ,y)关于x是 0 转移紧下半连续的和关于y是 0 对角拟凹的 .作为应用 ,作者得到了最近文献中关于广义拟变分不等式的很多已知结果的推广 .     

LF拓扑空间的上(下)δ-弱半连续多值映射及其关系

利用δ-开集引入LF上(下)δ-弱半连续多值映射等概念,研究了它们的若干等价刻划,并讨论了它们之间的关系.     

超空间上集值映射的弱半连续性

以拓扑空间上的半开(闭)集和θ-开(闭)集为基础, 给出了超空间上集值映射的弱上半连续和弱下半连续的新定义,分别以拓扑空间、度量空间和赋范空间作为值域空间讨论了弱上(下)半连续的若干等价条件, 证明弱上(下)半连续集值映射是弱连续集值映射与半连续集值映射的推广和扩充, 给出了弱下半连续集值映射的子集网式的特征性质, 最后给出了闭包映射和凸包映射成为弱上(下)半连续集值映射的条件.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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