由特征值和顺序主子阵构造广义Jacobi矩阵的逆特征值问题

给定一组复数{λi}2ni=1和一个n×n阶广义Jacobi矩阵,构造了一个2n×2n阶广义Jacobi矩阵,使得其特征值为给定的这组复数,其n×n阶顺序主子阵为给定的广义Jacobi矩阵.得出了问题有解的充分必要条件,给出了一个求解该问题的算法.最后,把该算法应用于数值例子加以说明.     

广义Steiner三元系

一个广义Steiner三元系GS（2，3，n,g)等价于一个最大常重量码，字符取自一个g 1元集，码字长为n，距离为3，重量为3。介绍一种特殊可分组设计J（K－GDD）,用Wilson关于可分组设计的基本构造法来构造广义Steiner三元系。特别对g=4，证明了一个广义Steiner三元系GS（2，3，n,g）的几个必要条件是充分的。     

广义Nechaev-Gray映射与广义(U|U+V)构造

文章通过定义新的广义Nechaev置换及环F3+uF3上新的Gray映射,证明了域F3上长为3n的一类循环码皆是环F3+uF3上某个长为n的线性码的Nechaev-Gray像.由该Gray映射可诱导出Van-Lint的广义(U|U+V)构造.文章给出了该广义(U|U+V)构造的距离公式的具体证明.     

组合广义Ball曲线的G~2Beta约束

文章根据Beta约束和几何连续性的概念,推导出了组合n次广义Ball曲线G2连续的Beta约束条件,并给出了详细的构造过程.所构造的曲线段与已知曲线在公共点是G2连续的,且能通过调整形状参数来局部调节曲线段的形状.给出的数值实例表明,构造过程简便灵活,可以满足不同的设计要求.     

构造偶数阶同心拉丁方的两种方法

以矩阵、拉丁方和广义拉丁方的基本概念为基础,给出了偶数阶同心拉丁方的两种构造方法.其中,第一种只需要有一个n阶幻方即可构造出来一个2n阶同心拉丁方;第二种构造方法首次利用了重排矩阵的表示方法构造偶数阶同心拉丁方.     

直和码的广义Hamming重量

当A是特殊的(n,l,n)等重码和(n,n,l)等重等距码时,通过对两个旧码A和B构造一个新码A+B 即直和码的分析,给出了A+B广义Hamming重量与A、B的广义Hamming重量的关系;在A、B是一般情 形下,对直和码的广义Hamming重量进行了研究.同时给出直和码满足链条件的一个充分条件。     

用多项式构造广义范德蒙矩阵的逆

应用构造n个多项式方法,将n个多项式的系数向量构成n阶广义范德蒙矩阵D^-1．特别地,该方法可构造范德蒙矩阵的逆．     

Pell方程与广义高斯整数环

给定n∈Z,在卡氏积Z2上构造了一种环结构Z2n,讨论了广义高斯整数环的基本性质,并且利用Pe ll方程得到了此环的所有可逆元.作为应用讨论了Pe ll方程解的结构.     

由部分特征值和顺序主子阵构造广义Jacobi矩阵的逆特征值问题

给定一组复数{λ_i}_(i=1)~(2N-2n)(N/2≤nN)和一个n阶广义Jacobi矩阵,构造了一个N阶广义Jacobi矩阵,使得这组给定的复数为其一部分特征值;给定的n阶广义Jacobi矩阵为其顺序主子阵,得出了问题有解的充分必要条件,给出了一个求解该问题的算法;最后把该算法应用于数值例子以说明其有效性.     

广义边缘密度函数相关理论及应用

对二维连续型随机变量的联合密度函数,在一定要求下变上限积分得到新函数,依据密度函数性质进行规范化,从而构造出一个广义的边缘密度函数.分析该边缘密度函数广义形式与通常形式之间的关系,探讨密度函数广义形式下的多个性质.针对具体的广义形式,得出了多个新结果,并将密度函数广义形式推广到n维,最后讨论了这一广义形式在舍选抽样中的应用.     

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

正~~