F-熵表示定理

本文是FM嵌入表示定理的有效应用之一。我们利用广义测度的Radon—Nikodym导数,这嵌入算子(?)和简单的∑~*条件,在普通的F-σ-代数σ上,对仅是单调弱连续的F-熵d(·)建立了一般性的F-熵表示定理,确定了一般的F-熵的具体积分形式;然后。把[2]文的存在定理从正规的F∑—测度空间推广到普通的F-测度空间。并且讨论了缺乏保序赋值性的F-熵的多种形式。     

一类二阶四元数方阵保左谱的线性映射表示

设 Q 表示四元数集合，Mn （Q）表示 n ×n 四元数矩阵的集合。对于四元数右线性映射Φ（A）＝UAU －1或Φ（A）＝UAT U －1：M2（Q）→ M2（Q），若σl Φ[（A ]）＝σl （A），则四元数酉阵 U 是实数矩阵。     

定向图的斜邻接矩阵的积和多项式（英文）

设G~σ为简单图G的一个定向.介绍了定向图G~σ的积和多项式,得到了G~σ的积和多项式根据图的结构表示的系数公式,证明了一个图G的所有定向图有相同的积和多项式当且仅当G没有偶圈.对定向图G~σ的积和多项式的根也进行了研究.     

尖点形式L函数的零点密度估计

设K为一正偶数,T是充分大的正数,s=σ it,3≤Q＜＜T,q为一正整数,X是模q的特征,f(z)=∞∑n(max)1a(n)e2(xinz)为Γ=SL2(z)的权为忌的全纯尖点形式.设Nf(σ0,T,X)表示函数Lf(s,X)=∞∑n(max)1X(n)a(n)n-s在带形区域k/2 1/log(Q2T)≤σ0≤σ≤(k 1)/2,(t)≤T内的零点个数,由Dirichlet多项式理论得出∑(q≤Q)∑(Xmodq)*Nf(σ0,T,X)的一个世界,这里∑(Xmodq)*表示对q的全体原特征求和.     

箭图表示的绝对Clean性质

设Rep(Q,M)是线性箭图Q=(·→·→?→·)的模表示范畴,其中M表示左R模范畴.本文研究并刻画了表示范畴Rep(Q,M)中的n有限表现表示与绝对Clean表示.     

Q上的分次映射与K[Q,σ]上的(e)类分次扩张

令σ为有理数加群Q到除环K的自同构群Aut(K)的群同态,K[Q,σ]为Q上的斜群环,V是K上的全赋值环,K(Q,σ)是K[Q,σ]的左商环。本文对Q上的分次映射和K[Q,σ]上的(e)类分次扩张进行完全刻画。     

关于自补置换的若干结果

本文用G表示图G的补图,如果G≌G,则称G为自补图(下称S.C.图).若G是一个S.C.图,则把从G到G的同构映射σ叫做G的自补置换(下称S.C.置换).用P(G)表示S.C.图G的全体S.C.置换的集合,用Γ(G)表示图G的自同构群.对于任一σ∈P(G)(G是S.C.图).由[1]知,σ中除长度为1的圈外,所有的圈长都是4的倍数.     

尖点形式L函数的零点密度估计(Ⅱ)

设k为一正偶数,T是充分大的正数,s=σ+it,3≤Q=T,q为一正整数,χ是模q的特征,f(z)=∞∑n=1a(n)e2πinz为Γ=SL2(z)的权为k的全纯尖点形式.设Nf(σ0,T,χ)表示函数Lf(s,χ)=∞∑n=1χ(n)a(n)n-s在带形区域k/2+(l/(log(Q2T))≤σ0≤σ≤((k+1)/2),|t|≤T内的零点个数.当k/2+1/3≤σ0≤((k+1)/2)时,由Dirichlet多项式理论得出了∑q≤Q∑χmodqNf(σ0,T,χ)的一个上界.     

由偏序关系的可达阵导出Hasse图的有效算法——兼谈其在认知诊断中的作用

假设0-1矩阵Q的行表示属性,对矩阵Q采用行逐对比较方法导出表示属性层级关系的Hasse图.然而,这个Hasse图和由可达矩阵R导出的Hasse图可能不一致.证明了包含R的Q阵的行逐对比较的方法与R导出的Hasse图是一致的,由此得出由偏序关系的可达矩阵导出Hasse图的一个有效算法,并讨论其在认知诊断中的应用.     

一类强定向的最小平均距离

用σ_G(v)表示图G中顶点v与G中所有顶点间的距离之和.利用σ_G(v)指标得到了含有割点的2-边连通图G的强定向的最小平均距离的若干下界.     

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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