主Hopf流形上的全纯平坦向量丛的上同调

近年来非代数流形上的全纯向量丛,得到了许多作者的关注.Hopf流形是一类重要的紧的非代数的流形.本文研究了主Hopf流形上平坦的全纯向量丛.利用群作用的方法,具体给出了两类主Hopf流形上平坦的全纯向量丛上同调维数的计算公式.     

关于L—上调和函数的强极值原理

在R~n(n≥2)的子区域Ω上,若f≠0是关于严格椭圆的二阶线性半微分算子■■■负上■和函数且b∈■Ω有邻域V使得■Ω∩■是C~1流形,■末对任意以b为顶点的Stolz■■D■Ω,恒有,此处ρ(x,■Ω)=inf(‖x-y‖;y∈■Ω),类似的结论对于较一般的Riemann流形如■空间的妇■■边成立,上述可否成用法■导数描述的Hopf型强极值原理一种推广定式。     

一类三维Hopf流形上全纯线丛的Hodge数

设X是一个三维的主Hopf流形C~3-{0}/〈g〉,这里g是一个非对角的收缩.利用Douady序列及群作用的方法,计算了X上全纯线丛的上同调群的Hodge数.这些结果将有助于研究非代数流形上线丛的结构.     

Hopf环链的Jones多项式的微分性质

利用纽结的Jones多项式的性质来研究由n个平凡纽结按照Hopf环链方式构成的环链的多项式的微分性质。讨论了环链L的Jones多项式V(L;t)以及在Jones多项式基础上定义的几个L的多项式不变量X(L;t),Φ(L;t)的基本性质;求k阶导数,并研究它们在t=1时的整除性质。这些性质的研究将有利于讨论三维流形不变量的性质。     

一类 Hopf 流形上的强可滤丛

Hopf流形是一类简单但却很重要的非代数流形,其上的全纯向量丛的性质是复几何研究的一个热点.研究了一类Hopf流形上强可滤丛的性质,得到了其上同调群的计算公式,证明了其第i(i>1)个陈类都为0,最后证明了一类具有交换基本群的Hopf曲面上的强可滤丛都为单丛.这些结果可应用于Hopf流形上连续向量丛的全纯结构存在性问题的研究.     

高维离散动力系统中Hopf不变流形的存在性

研究高维离散动力系统中 Hopf不变流形 (周期不变流形 )的存在性 .利用不动点处的特征值结构 ,应用 Fredholm算子理论 ,直接证明高维映射的 Hopf不变流形的存在性 ,同时给出相应不变流形的渐近表达式     

Hopf流形上全纯向量丛的数字特征

计算了任意的Hopf流形上的Betti数,并给出了Hopf流形上全纯向量丛的Euler示性数与其向量丛陈类的关系式.最后作为应用,证明了Hopf流形上秩为3的可滤的全纯向量丛的Euler示性数为0.     

框架小波集和紧框架小波集

引入了L2(R)的约化子空间X的框架小波集和紧框架小波集的概念,证明了一个可测集E是XΩ的框架小波集充分必要条件是E为基本集且所有2nE(n∈Z)的并集为Ω;给出了可测集E为XΩ的紧框架集、小波集的充要条件,从而使DaiXingde等人关于L2(R)的有关结果成为该结论的特例.     

一类非主Hopf曲面上的全纯线丛

非代数流形特别是非代数曲面上的全纯向量丛问题是复几何中的重要问题，近年来受到许多作者的关注．Hopf曲面是一类重要的紧的非Kaehler曲面，从而是非代数的曲面．本文研究具有Abel基本群Z＋Zm的非主Hopf曲面上全纯线丛，首先利用群作用的方法给出了非主Hopf曲面上全纯线丛的上同调维数的一般计算公式，然后具体给出Resonant Hopf曲面上全纯线丛的上同调维数的计算结果．这些结果可用于进一步研究非主Hopf曲面上连续复向量丛全纯结构、全纯可滤结构的存在性及其分类问题．     

方向数据核密度估计的大偏差和中偏差

设X为取值于k-维单位球Ω的随机向量,密度函数为f(x),fn(x)=(nhk-1)-1[C(h)]·,x∈Ω为f(x)的核密度估计.通过计算Cramer泛函,分别得到了核密度估计在弱拓扑(L1,σ(L1,L∞))下的大偏差和中偏差.     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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