伪欧氏空间的准伪正交基与准伪正交变换

利用双线性函数给出了准伪正交基、伪正交变换、准对合变换与伪对称变换的概念，研究了它们的性质及其之间的联系，获得了许多新的结果，推广了伪欧氏空间的伪正交基与伪正交变换的概念。     

列满秩矩阵的等价定义

在矩阵代数中,非奇异矩阵是很重要的慨念,但它必须足方阵,这在应用上带来了很大不便,现在把非奇异矩阵的概念推广到列满秩矩阵之后,这不仅保持了非奇异矩阵的一些重要性质,而且能够灵活地应用到许多方面,特别是在处理许多矩阵问题有不少简便和巧妙的     

准循环码和准循环子空间

引入了线性空间的准循环子空间的概念，进而研究了准循环码与准循环子空间的关系，给出了准循环码的准循环子空间表示定理。     

准坐标下约束Hamilton系统的Noether对称性与守恒量研究

本文研究在相空间中的准坐标下非保守奇异系统的Noether对称性和守恒量。首先,将奇异性导致的内在约束按外在非完整约束等效处理,利用Euler-Lagrange方程变换得到准坐标下的约束Hamilton系统的正则方程;其次引进时间、准坐标和广义动量的无限小变换,得到系统Hamilton作用量在此变换下的Noether广义准对称性的定义、判据和定理,并研究了该系统的Noehter对称性逆问题。研究结果表明,准坐标下的约束力学系统比广义坐标下的约束力学系统更具有普遍性,准坐标可使奇异系统表达更简洁。     

准对角矩阵F分布在左球准对角矩阵分布中的推广

将准对角矩阵F分布的定义推广到左球准对角矩阵分布中,给出了推广的准对角矩阵F分布变量的矩量表达、特征根分布及其关于对角非奇异矩阵变换的不变性.     

准坐标下非完整奇异力学系统的Lie对称性与守恒量

研究准坐标下非完整奇异力学系统的Lie对称性与守恒量。首先,定义准坐标下非完整奇异力学系统的无限小变换生成元,利用微分方程在无限小变换下的不变性,建立系统的确定方程。其次,给出结构方程并求出相应的守恒量。最后,研究Lie对称性逆问题举例说明结果的应用。     

基于结构风险最小化的图像配准之改进方法

目前的基于多项式、正交多项式和加权正交多项式的图像配准方法是以误差平方和为度量标准的．此度量会导致图像配准结果出现过溢出现象，并且泛化能力差．根据结构风险最小化原则，重新定义误差函数，即在误差函数中引入系数惩罚项，提出了改进的多项式、正交多项式和加权正交多项式三种图像配准方法．实验结果表明，基于新的误差函数的图像配准方法较好地提高了图像配准的准确度。     

多径衰落信道下准正交时分复用的研究

基于时频对偶原理，提出了一种准正交时分复用（QOTDM）系统．该系统利用频域具有升余弦性质的脉冲波形的平移准正交特性，采用自适应信道均衡方法，使发送滤波器、信道和接收滤波器的频域总特性具有升余弦性质，信道等效脉冲响应满足奈奎斯特采样点无失真准则．发送端利用上述信道进行时域波形准正交的离散信息符号序列传输；接收端根据信息符号波形的准正交特性，实现准正交分离．与正交频分复用（OFDM）系统相比，QOTDM系统在略微降低频带利用率的条件下，可以降低峰值平均功率比，并且当信噪比较高时具有更强的抗多径衰落能力．仿真结果表明，在准静态多径衰落信道下，采用正交幅度调制，在误比特率为10^-3时，QOTDM比OFDM的平均比特信噪比值约低3dB．     

一类二值谓词逻辑中公式的准真度理论

在二值谓词逻辑中引入了一阶语言的一类特殊解释，该类解释中的解释域取为非空有限集．在此基础上基于有限均匀分布概率测度空间的可数无穷乘积引入了逻辑公式的相对真度与准真度概念，证明了关于准真度而言MP规则与HS规则成立，并基于准真度对全体谓词公式之集进行了分类．准真度理论虽然并不与逻辑有效公式以及矛盾式概念完全吻合，但可证明存在一类公式，对该类公式而言，逻辑有效性等价于准真度为1，矛盾性等价于准真度为0．所以准真度为1或0分别是逻辑有效公式或矛盾式概念的一种推广．     

实用的准晶

准晶是令人十分感兴趣的一类材料，它们具有特殊的晶体结构、奇异的物理性质和可与金属合金相比的机械特性。这一方面促使人们更深人细致地去研究和了解准晶的基本性能，另一方面又推动人们去积极开拓其技术应用，现有的应用和潜在的应用大多是与节能有关。     

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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