关于齐次群上Sobolev型空间的一点注记

从Ｓｏｂｏｌｅｖ型空间了发，构造了更广泛的齐次群上的Ｓｏｂｏｌｅｖ型空间Ｖ＾ｍ，ｐ，基于Ｗ＾ｍ，ｐ（Ｇ）＝Ｗ＾ｎ，ｐ，０（Ｇ０这一偏微分方程中的重要关系式，建立了齐次群Ｇ上的关系式Ｖ＾ｍ，ｐ，０（Ｇ）＝Ｖｍ，ｐ（Ｇ）并给出了严格证明。     

强连通二部分竞赛图和可约二部分竞赛图计数

设Ｔ（ｍ，ｎ）表示不同构的ｍ×ｎ二部分竞赛图的个数，借助Ｔ（ｍ，ｎ）导出了不同构的强连通ｍ×ｎ二部分竞赛图的数目及同构的可约ｍ×ｎ二部分竞赛图的数目公式。     

拟正态分布均值矩阵的容许线性估计(Ⅰ

考虑了以下问题：设ｎ×ｍ随机矩阵Ｙ有分布Ｎ（Θｎ×ｍ,Ｖｍ×ｍΣｎ×ｎ）,即Ｙ服从均值向量为Θ协方差矩阵为Ｖｍ×ｍΣｎ×ｎ的多元正态分布,其中Θ为未知矩阵．讨论了当Ｖｍ×ｍΣｎ×ｎ已知时,均值矩阵Θ在３种比较标准下的容许线性估计．并称以上分布为拟正态分布．     

不相容约束矩阵方程逼近解的表示和Cramer法则

考虑不相容约束矩阵方程ＡＸＢ＝Ｄ,Ｒ（Ｘ）Ｔ,Ｎ（Ｘ）Ｓ其中Ａ∈Ｃｍ×ｎ,Ｂ∈Ｃｐ×ｑ,Ｄ∈Ｃｍ×ｑ,Ｔ,Ｓ分别为Ｃｎ,Ｃｐ的子空间,给出了它的逼近解、最佳逼近解的表示及Ｃｒａｍｅｒ法则．     

增长曲线模型中LSE的几种新的相对效率

对于生长曲线模型Ｙｑ×ｎ ＝ Ａｑ×ｍ Ｂｍ ×ｋＣｋ×ｎ ＋ ｅｑ×ｎ , Ｅ（ｅ） ＝ ０ ,ｃｏｖ（→ｅ） ＝ Ｖｎ×ｎ ｑ×ｑ ,该文定义了四种ＬＳＥ 的相对效率,并给出了它们的上界     

极大秩函数ρf（7）=44,ρf（8）=80

ｎ维布尔向量空间Ｖｎ中存在极大无关组Ｂ，使得Ｖｎ中的任意无关组Ｗ，｜Ｗ｜≤｜Ｂ｜，Ｂ的基数｜Ｂ｜称为极大秩函数，记为ρｆ（ｎ）．本文证明了ρｆ（７）＝４４，ρｆ（８）＝８０．     

算子权移位与Cowen-Douglas算子

设Ｘ和Ｙ是复Ｂａｎａｃｈ空间,Ｈ是复可分Ｈｉｌｂｅｒｔ空间．Ｌ（Ｘ,Ｙ）表示从Ｘ到Ｙ的有界线性算子全体,将Ｌ（Ｘ,Ｘ）简记为Ｌ（Ｘ）．对于Ｔ∈Ｌ（Ｘ）,σ（Ｔ）,σｌ（Ｔ）和σｒ（Ｔ）分别表示Ｔ的谱、左谱和右谱;σｐ（Ｔ）,σπ（Ｔ）和σｅ（Ｔ）分别表示Ｔ的点谱、近似点谱和本质谱;ｒ（Ｔ）表示Ｔ的谱半径．定义ｒ１（Ｔ）＝ｌｉｍｋ→∞（ｍ（Ｔｋ））１／ｋ,其中ｍ（Ｔ）∶＝ｉｎｆ｛‖Ｔｘ‖：‖ｘ‖＝１｝称为Ｔ的下界．设Ｃ表示复平面,Ｃｎ＝Ｃ×…×Ｃ是ｎ维复空间,Ｋ＋＝∞ｋ＝０Ｃｎ．｛Ｗｋ｝∞ｋ＝１…     

矩阵字符串的几个等式问题

研究了矩阵Ａ,Ｂ∈Ｃ＾ｎ×ｎ的迹等式,ｔｒ（ＡＢ）＾ｍ＝ｔｒ（ＡＡ）＾ｍ２（ＢＢ）＾ｍ２）（ｍ≥２为自然数）的充要条件,同时给出了２个矩阵,Ａ,Ｂ∈Ｃ＾ｎ×ｎ的字符串Ｗ（Ａ,Ｂ,Ａ＾＊,Ｂ＾＊）的与正规矩阵有关的几个性质。     

关于乘积空间上的Marcinkiewicz积分

该文给出了如下定义乘积空间Ｒｎ×Ｒｍ上一类带粗糙核的Ｍａｒｃｉｎｋｉｅｗｉｃｚ积分算子μΩ，ｂ（ｆ）的Ｌ２（Ｒｎ×Ｒｍ）有界性：μΩ，ｂ（ｆ）（ｘ，ｙ）＝（∫∞０∫∞０｜Ｆｂ，ｔ，ｓ（ｘ，ｙ）｜２ｄｔｄｓｔ３ｓ３）１／２，这里，Ｆｂ，ｔ，ｓ（ｘ，ｙ）＝｜ｘ－ｕ｜≤ｔ｜ｙ－ｖ｜≤ｓΩ（ｘ－ｕ，ｙ－ｖ）ｂ（｜ｘ－ｕ｜，｜ｙ－ｖ｜）｜ｘ－ｕ｜ｎ－１｜ｙ－ｖ｜ｍ－１ｆ（ｕ，ｖ）ｄｕｄｖ，且Ω为原子Ｈａｒｄｙ空间Ｈ１ａ（Ｓｎ－１×Ｓｍ－１）中的函数，ｂ为空间ｌ∞（Ｌｑ（Ｒ＋×Ｒ＋）中的径向函数     

GaAs MSM—PD的实验研究

本文报道一种双肖特基势垒叉指电极型快速光探测器，其光敏面１５０×１５０μｍ２，指长１４０μｍ，指定１０μｍ，指间隔１０μｍ．实验结果表明：该探测器的光灵敏度为０．７０Ａ／Ｗ，暗电流为ｎＡ量级（ＵＤＣ＝１０Ｖ），其响应时间小于４０ｐＳ．     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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     

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