Clifford代数C(Λ)的E(n)-模代数结构

对于域k上任一个m×m矩阵Λ∈Symm(k)定义了一个Clifford代数C(Λ),C(Λ)同构于自由代数Fm(Γ)模去某个理想I的商代数.证明了I是Fm(Γ)的E(n)-子模,由此推出C(Λ)也是一个E(n)-模代数,它的E(n)-模作用由E(n)在Fm(Γ)上的作用导出,记这样的Clifford E(n)-模代数为C(Λ,Γ),同时刻画了C(Λ,Γ)的相关结构.     

半群M(n,k)的正则性和格林关系

设X_n={1,2,…,n}为有限链,T_n是X_n上的全变换半群。给定k∈X_n,记W(n,k),R(n,k)分别为T_n的如下子集{f∈T_n:(x,y∈X_n),|x-k|≤|y-k|?|f(x)-k|≤|f(y)-k|},{f∈T_n:(x,y∈X_n),|x-k|≤|y-k|?|f(x)-k|≥||f(y)-k||}W(n,k)与R(n,k)的并集记作M(n,k)。显然,M(n,k)是T_n的子半群。讨论了半群M(n,k)的正则性并刻画了它的格林关系。     

补右零化子与环的交换性定理

设R是一个有单位元的结合环,I是R的补右零化子集,且n为正整数,若对任意x∈R\I,y∈R,有(xy)~(n+k)=x~(n+k)y~(n+k),k=0,1,2,则R是交换环.     

态射范畴的极大rigid对象

对任意数域k上的有限维代数Λ,记M为Λ的有限生成投射模态射范畴.本文利用Λ的支撑τ-倾斜模给出了M的极大rigid对象的分类.特别地,M的极大rigid对象与Λ的支撑τ-倾斜模之间存在一一对应关系.作为结果,M中的任意rigid对象都可以扩充为极大rigid对象,且任意的基本极大rigid对象的不可分解直和项个数恰好为...     

关于不定方程y(y+1)(y+2)(y+3)=132kx(x+1)(x+2)(x+3)解的判定

本文用初等方法证明了不定方程y(y 1)(y 2)(y 3)=nx(x 1)(x 2)(x 3)在n=13~(2k)(k为自然数)时无解.     

p-内平凡kG-模上的Green对应

将内平凡k G-模扩充为p-内平凡k G-模,并证明了若H是群G的强p-嵌入子群,那么Green对应建立了一个从不可分解p-内平凡k H-模的同构类到不可分解p-内平凡k G-模同构类之间的一一对应.     

半群PO_n(k,m)的秩

设POn是[n]上的部分保序变换半群.对任意1≤k≤n-1且2≤m≤n,研究半群POn(k,m)={α∈POn:x,y∈dom(α),x≤k■xα≤k,y≥m■yα≥m}证明了半群POn(k,m)的幂等元秩为3n-4.进一步,得到了半群POn(k,k+1)的秩为2n-2,且半群POn(k,m)(m≠k+1)的秩为2n-1.     

具有三个数字集的Cantor测度的谱特征值

设μ3k是由迭代函数系统fd(x)＝3k(1)(x＋d)：d∈{0,1,2}所生成的自相似测度,该文首先利用Compatible对的概念, 给出了μ3k的一组谱Λ,然后重点刻画了正整数p, 使得pΛ也为μ3k的谱.     

半群TO_n(k)的格林关系及正则元

设T_n是[n]上的全变换半群.对任意的k∈[n].令TO_n(k)={α∈T_n:(?x,y∈[n])x≤y≤k?xα≤yα≤k},则TO_n(k)是T_n的子半群,进一步获得了半群TO_n(k)的格林关系及正则元.     

K-半单纯环的一个交换性定理

为了促进交换性的发展,根据半质环及半单环的相关资料,推广了戴跃进的结论,提出并严格地证明了一个kothe半单纯环的交换性定理:若R是一个kothe半单纯环,且对(V)a.b,c∈R,都存在一个正整数k=k(a,b),一含有x2和n=n (a,b,c)(≥k)个y的字fx(x,y)及一整系数多项式φx(x,y)使得[Σk...     

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