Co-regular集上的可计算算子

Co-regular集是R^d上的一类集合, 在 第二类能行性理论（简称TTE）的框架下, 研究co-regular集组成的类P上若干算子的可计算性, 这些算子主要包括交、 并、 象、 原象、 补集的内部运算和开集的co-regularization等. 结果表明, 此前提出的所有不等价表示式中, 只有个别表示式对这 些算子是可计算的.     

强 非 游 荡 集 与 分 布 混 沌

通过在紧致系统中引入强非游荡集的概念, 给出了系统为分布混沌的一个必要条件, 并构造了没有分布混沌对的Li Yorke混沌子移位. 结果表明, 对于子移位分布混沌与Li Yorke混沌不等价.     

加权模糊产生式规则的泛化能力研究

为了提高模糊产生式规则的知识表示能力,人们在模糊产生式规则中引入了局权、全权、置信度等参数。视加权模糊规则中的权重等为可调的知识表示参数,首先研究这些知识表示参数与加权模糊规则的泛化能力之间的关系,然后提出了一种基于极大模糊熵原理的知识表示参数优化方法。在选定数据集上的仿真实验数据表明,提出的方法可以明显提高基于加权模糊产生式规则的专家推理系统的泛化能力。     

直观有界与包囿拓扑

距离空间中有界集的概念已为人们所熟知,此后我们称距离空间中的有界集为距离有界;另外,拓扑线性空间中有界集的概念则是由 J.Von Neumann 引入的,即:A 是拓扑线性空间 E 的任一子集,若 A 为 O 点的每一邻域所吸收,则它是有界集.今后我们称这样的有界集为 von Neumann 有界.这两种有界集的概念同是依赖于空间的拓扑,但它们确是不同的有界概念,既使在 E 是可距离化的情况下,它们也不等价.我们知道,距离有界与     

拓扑空间中的强拟开集

在分明拓扑空间中引入强拟开集和强拟闭集的概念，并讨论了它们的性质，以实例说明它们与开集、强拟半开集等概念之间的强弱关系。     

Cn空间的Rouche定理

给出的类似于单复变数Rouche定理是利用拓广的Bochner Martinelli积分表示为基础,即在同一假设条件下的两个不同的积分表示式的基础上,在引入了Rouchner Martinelli;积分核、简单零点、非常点等概念的同时,还引入了相关的引理及定理.以这些条件为基础引入了en空间中的Rouche定理,并分两步给予证明     

Fuzzy真子群的并表示

本文重新引入了Fuzzy真子群(简称F真子群)的概念.讨论了群上的F真子群的并表示问题,证明了群上的F真子群能表示为另外两个不相同的F真子群的并.研究并且得到了F真子群表示为不等价的F真子群的并的充要条件,从而回答了Dixit等提出的一个开问题.     

一种基于近邻稀疏表示的人脸识别新方法

稀疏表示近些年来被广泛用于人脸识别。由于在现实中,同类图像之间往往不可避免存在光照、姿态、甚至遮挡等差异,如果使用这些有各种差异的图像样本去表示某一特定状态下的图像,则表示的效果势必会受到影响。为进一步提高稀疏表示在人脸识别中的性能,基于原始协同分类(CRC)算法,引入近邻思想,即在各类训练样本中分别寻找与测试样本相近的若干样本,以构建新的近邻样本集;在此基础上进行协同表示,并利用每类样本系数分别重构待测样本,最后基于重构样本集再次协同表示。这种基于近邻样本的二次稀疏重构表示法,使识别更精确,并在一定程度上提升了运行效率。在ORL,YALE,FERET及AR人脸数据库上通过仿真验证了该方法的有效性。
     

群的特征标判据及其在物理中的应用

本文首先给出:1、有限群表示约化的特征标(x)判据。依此判据,若已知且仅知群的某一个表示的 x,可简便地判断出该表示约化与否及约化结果;而若已知且仅知群的两个表示的 x 时,可简便地得出它们是否有相同的不可约表示。2、特征标细致判据。若已知群的全部不等价、不可约表示的 x~(i)及某一表示的 x,以此判据可简便地判断出该表示由那几个不等价不可约表示组成。接着讨论了求 N 粒子系对称群的一个3N 维表示的 x 的方法,并利用上面的判据对该表示进行了约化分解。最后,本文通过实例给出了约化的程序、公式及表格。     

紧支集样条小波的研究

讨论了紧支集样条小波及其对偶的特性，给出了滤波器表示式和支集宽度。作为例子，给出了n=2，3，4的样条小波及其对偶的波形。这些讨论在样条小波应用中是非常有用的。     

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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