多项式系的广义结式矩阵

对经典的两个多项式的结式矩阵进行了推广。在有单位元交换环上,引进了一般多项式系的广义结式矩阵,并给出了其在唯一分解环上关于多项系公因子存在性方面的应用。     

多项式系的非常元公因子存在性

推广了经典结果，即唯一分解环Ｒ上多项式环Ｒ「ｘ」中两个多基式的非常元公因子存在性判别准则，得到了唯一分解环Ｒ上多项式环Ｒ「ｘ」中的一般多基式系与之相应的结果。     

多项式系的子结式矩阵

推广了两个多项式的子结式矩阵这一经典结果.在有单位元交换环上,引进了一般多项式系的一类子结式矩阵.并在唯一分解环上,利用多项式系的这类子结式矩阵,给出了多项式系公因子存在性的分次判别准则.     

置换群在多元多项式环因子分解中的应用

域上的多元多项式是单一分解环,但如何对其中的多项式因子分解却无一般方法可循．本文通过置换群对多元多项式的作用,给出了一类多元多项式的因子分解的一种方法．     

结式与多项式互素

主要研究唯一分解整环上的多项式环中多元多项式互素.从一元多项式结式的经典定义出发,结合推广的结式性质,给出系数为唯一分解整环上的多个多元多项式是否互素、或是否存在非平凡公因子判定的充分必要条件.     

变换可用多项式表示的环

本文在一般环上引入了多项式(实为多项式左函数的简称)的概念,用此讨论了变换可用多项式表示的环。所得结论有:变换可用多项示的域必为有限域;一般言之,变换可用多项式表示的环是除环,且特征一定是p(素数);若进一步限制多项式表示的形式为a_0 a_1x,那么变换用多项式表示的环就是有限域。群可与该群集合上的若干变换所成的群同构,一个有单位元的环也与该环集合上的若干变换(一般指环的加群的某些自同态)构成的环同构它们都是用集合上的变换去描述该代数系的。本文是在限定环的集合上的变换都具有某种特殊形式的条件下,讨论这种环的性质和结构。以下讨论的环R,总假定为非零环,即环R 至少含有两个元。     

一类非整环上的可逆多项式

一般环上的多项式是不可逆的。本文探讨一类非整环上的可逆多项式存在问题,给出了一个判别法则:若f∈R(x),f=a_0+a_1x+…+a_nx~n,那么,f可逆的充要条件是a_0∈R为可逆元,a_1,a_2,…,a_n为幂零元。最后给了一个具体模型。环Z_m[x]上有非平凡的可逆元(多项式)。本文的结果,把系数限于整环的多项式坏的可逆元问题。拓广至一般环R上,证明了多项式环R[x]上有除R中的可逆元的其他可逆元(非零次多项式)。     

素子模与Laskerian模上的w-根

给出了素子模在环R与其多项式环R[X]之间的一个等价刻画,并分别对唯一分解整环与主理想整环中有限生成自由模的素子模进行了讨论.利用子模的w-根的相关结论,给出了有限生成Laskerian模上的w-根的两个刻画.     

Z[√-n]的唯一分解

讨论了Z[√-n]的唯一分解问题，得到的主要结论是当n≥3时，Z[√-n]不是唯一分解环；当-2≤n≤2时，Z[√-n]是唯一分解环，同时给出了Z[√-n]的可逆元等价表达形式．     

余因子系与公因子分次判别准则

引进了余因子系的概念,并利用余因子系给出一种惟一分解环上多项式系公因子存在性的分次判别准则,为在计算代数几何等领域的深入应用提供了理论依据.     

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