关于1型x-C11模

通过对1型x-C11模的研究得出两个结论1°设x是一个模类,以下叙述等价(1)模M是1型x-C11模;(2)对于模M的任意一个x-子模N,存在模K|M,使得K ∩N=0,且K N≤eM;(3)对于模M的任意一个Xe-子模N,存在模K|M,使得K ∩N=0,且K N≤eM;(4)对于模M的任意一个Xe-补子模N,使得K ∩N=0,且K N≤eM.2°设x是一个模类,x关于子模封闭,M=M1 M2,若M1,M2是1型x-C11模,M1或M2属于x,则M是1型x-C11模.     

商根系同构的判别

设Φ是典型型不可约根系 ,Δ是Φ的基 .若X Φ ,且X满足 :(1)X∩ (-X) = ;(2 ) x1,x2 ∈X ,当x1≠x2 时 ,有〈x1,x2 〉 ≤ 0 ;则称X为特殊的 .对这样的特殊子集X再定义一个图G(X) ,得到定理　设ΔJ,ΔK Δ ,若G(ΔJ)≌G(ΔK) ,则Φ/ΔJ ≌Φ/ΔK,其中Φ/ΔJ 表示Φ关于ΔJ 的商根系 .     

关于一类含自然增长条件的变分不等式

该文讨论如下的含自然增长条件的变分不等式:求u∈K∩L~∞(Ω),使得∫_Ωa_(αβ)(x,u)D_αuD_β(v-u)dx+1/2∫_Ω(v-u)D_ua_(αβ)(x,u)D_αuD_βudx≥0,?v∈K∩L~∞(Ω)其中K={v∈H~(1,2)(Ω),v≥Ψa.e.于Q,v|?Ω=u_0},得到了其解的存在性。     

准素理想的商理想与代数簇

设Q是多项式环k[x1,x2,…,xn]中的P-准素理想,P=Q是理想Q的根理想,J是k[x1,x2,…,xn]的子集,若Q∩J≠φ,则Q对J的商理想QJ的代数簇V(QJ)=φ;若Q∩J=φ,则QJ的代数簇V(QJ)=V(QJ);若P∩J=φ,则V(QJ)=V(Q).     

有限群可解子群的探讨

讨论了非可解群的正规子群的可解性,以不包含正规子群K的极大子群M作为研究工具,得出主要结果:(1)当M∩K是幂零群时,K可解;(2)当M ∩ K是p-幂零群时,则K可解.进一步得出推论:若P∈Sylp(M ∩ K),且P循环,则K可解(p为|M∩N|的最小素因子).     

经典变分不等式的一种梯度投影算法

本文在有限维欧氏空间中提出了一种解经典变分不等式的梯度投影算法,该算法通过进一步限制投影区域,使X～k向一新的闭凸集Ω∩H_K~1∩H_K~2进行投影,使得x~(k 1)=P_(Ω∩H_K~1∩H_K~2)~(x~k),其中H_K~2={x∈R~n│≤0}.从而使得新的算法的迭代比原方法有一个更长的步长。并证明了其收敛性。     

关于1型χ-C_(11)模

通过对 1型χ- C1 1 模的研究得出两个结论 :1°设χ是一个模类 ,以下叙述等价 :(1 )模 M是1型χ- C1 1 模 ;(2 )对于模 M的任意一个χ-子模 N,存在模 K|M,使得 K∩ N =0 ,且 K N≤ e M;(3)对于模 M的任意一个χe-子模 N,存在模 K|M,使得 K∩ N =0 ,且 K N≤ e M;(4)对于模M的任意一个χe-补子模 N,使得 K∩ N =0 ,且 K N≤ e M.2°设χ是一个模类 ,χ关于子模封闭 ,M =M1 M2 ,若 M1 ,M2 是 1型χ- C1 1 模 ,M1 或 M2 属于χ,则 M是 1型χ- C1 1 模 .     

有限群的弱n-Engle条件和p-幂零性

有限群G的一个弱 n-Engle 条件是指：对于G的2个元素x，y和某个非负整数n，[x，ny]∈Z(G)成立，如果存在G的一个子群K满足HK=G和H∩K≤CoreG(H)，则G的一个子群H称为c-可补的，利用极小子群的弱 n-Engle 条件和4阶循环子群的c-可补性，讨论了G的p-幂零性。     

一类n维非线性拟抛物型方程的Cauchy问题

证明下列非线性拟抛物型方程的Cauchy问题ut-△ut-△u=△g（u）,x∈ R^n,t＞0;u（x,0）=u0（x）,x∈R^n,在C^2（[0,∞）;W^m,p,p（R^n）∩L^∞（R^n））（m≥0,1≤p≤∞）中存在唯一整体广义解且在C^2（[0,∞）;W^m,p（R^n）∩L^∞（R^n） ∩L^2（R^n））（m＞2＋n/p,1≤p≤∞）中存在唯一整体古典解.     

1—坚韧Hamilton图的充分条件

设n≥3阶1—坚韧图,若对于G中任意导出爪K(1．3)或变爪K(1．3)＋e上的三点u,v,w,且d（u,v）＝d（u,w）＝2,均满足｜N（u）∩N（v）｜≥-α－1或｜N（u）∩N（w）｜≥α－1,则G是Hamilton图。     

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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