Heisenberg群上的Brouwer型不动点定理

将欧式空间中经典的Brouwer不动点定理推广到了Heisenberg群H~n上,主要定理可叙述为:设f:B_H→B_H∩H_ξ是光滑映射,则f在B_H∩H_ξ中必有不动点,其中B_H为H~n中的单位闭球,H_ξ是过ξ∈B_H的水平平面.     

HAMILTON图的特征矩阵

讨论了Hamilton图G和它的邻接矩阵A之间的关系，得到如下结果定理1：图G是H－图当且仅当A＝B＋Q，这里B≥0且B≠0，Q＝PCP，C是由互换单矩阵中的第1行和第n行所得到的初等阵，P是置换阵，P是P的转置矩阵，定理：图G是H－图当且仅当A的谱半径ρ（A）是A的单根，且存在正特征向量ξ，使得Aξ＝ρ（A）ξ＞η，这里η是适当调整ξ的分量而得到的向量，满足：当ξ的第i个分量调为η的第j个分量时，A的（i,j)元aij=1.     

Clifford对应的推广

设H为任意有限群G的一个次正规子群，θ为H的一个不可约复特征标．文章证明了若特征标对(H，θ)在G中满足共轭封闭性，则特征标的诱导可定义一个双射：Irr(T|θ)→Irr(G|θ)，ξ|ξ^G，其中T=IG(H，θ)为该特征标对在G中的惯性群．此外，定理还推广了著名的Clifford对应以及Isaacs在1984年提出的极大Fn-对应．     

度与不动点

主要定理是：定理1：存在连续映射f：s^1→s^l，有n个不动点pl，p2…Pn，映射度d(f)满足1≤d(f)≤n 1(n≥2)；定理3：p^2n是2n维实射影空间．f：p^2n→p^2n．f是连续映射．f在p^2n中有不动点．     

主丛上的示性类与Borel-Hirzebruch定理

设G和H均为紧致、连通的Lie群,ξ是G主丛。ρ是G到H的一个同态。本文利用Chern-weil同态建立了ξ和ξ的ρ扩展丛η的示性类之间的关系。利用这个关系,我们还给出了[2]中Borel-Hirzebruch定理的微分几何证明。     

具有某些极小子群Pronomal的有限群

证明Buckley定理和Asaad定理的如下推广：假设H是有限群G的一个正规子群使得G/H是超可解群.如果对于P∩G^p-N中所有阶为p或4（当p=2的时候）的元素x,其中p是｜H｜的任意一个素因数,P是H的一个Sylow p-子群,G^p-N是G的p-幂零剩余,〈x〉均在NG（P）中Pronormal,则G是超可解群.     

两个超可解性定理的推广

子群H称为在有限群G中有补，如果存在G的子群使HN＝G且H∩N＝1．此时，N称为H在G中的补子群．该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理．     

变分不等式的新的外梯度方法

本文引入了一个新的求解非扩张映射的不动点集和具有单调及Lipschitz连续映射的变分不等式的解集的公共元素的近似算法。这一算法是建立在外梯度方法和粘性逼近方法基础上的。在Hilbert空间上得到了这一算法产生序列的强收敛性定理。其内容如下：设C是实Hilbert空间H中的非空闭凸集,映射A：C→H是单调和k-Lipschitz连续的,S：C→H是非扩张映射满足Fix（S）∩VI（C,A）≠Ф,其中Fix（S）和VI（C,A）分别是S的不动点集和变分不等式的解集f：H→H是压缩映射,序列{xn}和{γn}由下列算法产生的：{x1=x∈C γn=Pc（xn-γnAxn） xn＋1=αnf（xn）＋βnxn＋（1-αn-βn）SPc（xn-γnAγn）,n=1,2,…,其中{γ},{αn}和{βn}是满足条件limαn n→∞=0和∑n=1^∞αn=∞,1〉lim n→∞ sup βn≥lim n→∞ inf βn〉0和limγn n→∞=0的数列,则{xn}和{yn}强收敛到w=PFix（S）∩VI（C,A）f（w）,这里PFix（S）∩VI（C,A）f（w）表示f（w）在Fix（S）∩VI（C,A）上的投影。本文结果推广了文献中的一些著名结果。     

子群c-正规性对群结构的影响

群G的一个子群H称为在G中c-正规，如果存在一个正规子群K，使得G＝HK且H∩G≤HG，其中HG＝CoreG(H)=∩x∈GH^x是包含在H中的G的最大正规子群。该文利用子群c－正规性给出一个群为可群解的一些条件，主要定理有：1）设G为群， 若存在P∈Syl2（G），P为c－正规于G，则G可解；2）设N为群G的非单位正规子群，则N可解当且仅当G的任意不包含N物极大子群M为c－正规于G。     

非线性项有非线性增长的高阶多点边值问题

考虑以下高阶多点边值问题({ у(n)=f(t,y,y',…,y(n-1),0≤t≤1,у(i)(ξj)=0,0≤i≤nj-1,j=0,1,…,k,(k∑j=0)nj=n),其中0=ξ0＜ξ1＜…＜ξk=1,关于f有非线性增长的情况,利用基于度理论的不动点定理,对上述边值问题建立了解的存在唯一性定理.     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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