再论助格的拓扑特征

本文从助格的Ω－拓扑的另一性质论证了[1]中的主要结论，还给出了助格的另两条拓扑方面的性质。     

关于连续函数格C（X,R）的一个注记

证明了如下结果，若拓扑空间Ｘ的开集格Ω（Ｘ）满足Ｖ－无穷分配律，则连续函数格Ｃ（Ｘ，Ｒ）完备Ｈｙｔｉｎｇ代数。     

关于连续函数格C（X，R￣＊）的一个注记

证明了如下结果：若拓扑空间Ｘ的开集格Ω（Ｘ）满足Ｖ－无穷分配律，则连续函数格Ｃ（Ｘ，Ｒ）是完备Ｈｙｔｉｎｇ代数     

R空间开区间上的Brouwer度

E=R~n为n维欧氏空间. ω=β为E中所有有界开集所成的集合. M(Ω)=C(Ω,E)为所有连续映象f:Ω→按一致拓扑构成的拓扑空间.显然 M(β)={M(Ω)|Ω∈β}是允许映象族. M(Ω)是凸集,任f∈M(Ω)必映Ω中的闭集成闭集.这时称M(β)上的拓扑度为Brouwer度.     

关于拓扑空间开集格的ΣF－core紧性

所谓一个格是ΣＦ－ｃｏｒｅ紧的，是指在赋以Ｓｃｏｔ开滤子拓扑之后，这个格作为拓扑空间是ｃｏｒｅ紧的．证明了一个拓扑空间的开集格是ΣＦ－ｃｏｒｅ紧的当且仅当该空间是ｃｏｒｅ紧的     

关于拓扑空间开集格的ΣF—core紧性

所谓一个格是ΣＦ－ｃｏｒｅ紧的，是指在赋以Ｓｃｏｔｔ开滤子拓扑之事，这个格作为拓扑空间是ｃｏｒｅ紧的，证明了一个拓扑空间的开集格是ΣＦ－ｃｏｒｅ紧的当且仅当该空间是ｃｏｒｅ紧的。     

Scott开滤子拓扑的连续性巩(英文)

该文证明了完备格Ｌ为连续格当且仅当Ｌ上的Ｓｃｏｔ开滤子拓扑σＦ（Ｌ）为连续格，且细于Ｌ上的上拓扑．特别地，若Ｌ的素元集是序生成集，则Ｌ为连续格当且仅当σＦ（Ｌ）为连续格．     

Scott开滤子拓扑的连续性

该文证明了完备格Ｌ为连续格当且仅当Ｌ上的Ｓｃｏｔｔ开滤子拓扑σＦ（Ｌ）为连续格，且细于Ｌ上的上拓扑。特别地，若Ｌ的素元集是序生成集，则Ｌ为和当且仅当σＦ（Ｌ）为连续格。     

交半连续格的性质

讨论了交半连续格的一些基本性质,在交半连续格中引入交半Scott开集簇,用其刻画交半连续格.同时,定义了交半连续格上的拓扑和交半连续格之间的映射,并证明了交半连续格的收缩仍是交半连续的.     

集值映射空间的Ω—拓扑

本文以覆盖刻划出集值映射空间的一种新拓扑,Ω拓扑,讨论了它的分离性质以及与其它拓扑之间的关系。第四节,给出了集值映射空间关于Ω拓扑的紧性和局部紧性的两个结果。     

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

正~~