L~2〔a，b〕上的Hilbert－Schmidt算子与L~2（〔a，b〕~2）的关系

证明了存在从Ｌ２〔ａ，ｂ〕上的全体Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ算子空间到Ｌ２（〔ａ，ｂ〕２）上的酉算子Ｕ，满足（Ｋｆ）（ｘ）＝∫ｂａ（ＵＫ）（ｘ，ｙ）ｆ（ｙ）ｄｙ，ｆ∈Ｌ２〔ａ，ｂ〕．其中Ｋ为Ｌ２〔ａ，ｂ〕上的任意Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ算子     

局部对称空间中的紧致极小子流形的截面曲率

令Ｎ是ｎ＋ｐ维局部对称空间,１／２〈δ≤ＫＮ≤１,Ｍ为ｎ维紧极小子流形,其截面曲率处处不小于Ｋ,Ｓ为第二基本形式的模长平方,则下成立∫ＭＳ「８／３（１－δ）（ｐ－１）（ｎ－１）＾１／２＋ｎ（１－δ）＋（ｐ－１）／ｐ Ｓ－ｎＫ」≥０。     

L^2〔a,b〕上的Hilbert—Schmidt算子与L^2（〔a,b〕^2）的关系

证明了存在从Ｌ＾２〔ａ，ｂ〕上的全体Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ算子空间到Ｌ＾２（〔ａ，ｂ〕上的酉算子Ｕ，满足（Ｋｆ）（ｘ）＝∫↑ｂ↓ａ（ＵＫ）（ｘ，ｙ）ｆ（ｙ）ｄｙ，ｆ∈Ｌ＾２〔ａ，ｂ〕。其中Ｋ为Ｌ＾２〔ａ，ｂ〕上的任意Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ算子。     

若干钒、铜异金属硫桥簇合物的红外光谱研究

采用红外光谱研究〔Ｖ２Ｓ６Ｏ２（ＣｕＰｐｈ３）４（Ｃｕ（ＭｅＣＮ））２〕·２（ＣＨ２Ｃｌ２）·２（ＰｒＯＨ）１－、〔ＶＳ４（ＣｕＰｐｈ３）４Ｂｒ〕·ＣＨ２Ｃｌ２２－和〔Ｖ２Ｓ６Ｏ２Ｃｕ６（３－ＭｅＰｙ）６３－簇合物．簇合物的结构特征和成键方式不同，在ν（Ｖ－Ｓ）和Ｐｐｈ３的δ（ｃｐｃ）的敏感振动模会有很大差别     

不定复空间型中的全实极大类空子流形

设Ｎ＾ｎ（ｃ）是复ｎ维带有指标为ｎ的常全纯截面曲率为ｃ的复空间型，Ｍ是等距浸入在Ｎ＾ｎ（ｃ）中实ｎ维完备的全实类空子流形。本文获得：当Ｍ极大时，Ｍ是全测地的（ｎ≥２，ｃ≥０或者０≤Ｓ≤－ｎ（ｎ－１）ｃ／０），其中Ｓ表示Ｍ的第二基本形式长度的平方。     

方差分量生长曲线模型中回归系数线性估计的泛容许性

讨论了方差分量生长曲线模型： Ｙ＝ Ｘ１ Ｂ Ｘ２′＋ ε Ｅ（ε） ＝ ０ Ｖａｒ（ Ｖｅｃ（ε）） ＝ ＷθΣ＝ ∑ｍｉ＝ １ θｉ Ｖｉ Σ其中 Ｙ、ε为ｎ ×ｐ 的随机矩阵; Ｘ１、 Ｘ２ 分别为ｎ ×ｋ、ｐ ×ｑ 的设计矩阵; Ｖｉ ≥０, ｉ＝１,２,…,ｍ ; Σ≥０已知; Ｂ、θｉ ≥０（或＞ ０）, ｉ＝ １,２,…,ｍ 都是参数。在损失函数（ｄ － Ｋ Ｂ Ｌ）（ｄ － Ｋ Ｂ Ｌ）′下我们给出了可估函数 Ｋ Ｂ Ｌ的线性估计的泛（Φ） 容许性定义, 得到了 Ｍ Ｙ Ｎ（ Ｍ Ｙ Ｎ ＋ Ｃ） Ｋ Ｂ Ｌ的泛容许性估计的充要和充分条件     

钛和锆钨硅杂多酸盐异构体的合成及表征

合成了α－和β－Ｍ１０－ｎＨｎ〔ＳｉＷ９Ｔｉ３Ｏ４０〕·ｘＨ２Ｏ（Ｍ＝Ｋ＋、Ｍｅ４Ｎ＋），α－（Ｍｅ４Ｎ）４Ｈ２〔ＳｉＷ１１ＺｒＯ４０〕·１３Ｈ２Ｏ和β－（Ｂｕ４Ｎ）４Ｈ２〔ＳｉＷ１１ｚｒＯ４０〕·１４Ｈ２Ｏ等杂多酸盐异构体。并用ＩＲ，ＵＶ，ＴＧ和ＤＴＡ、极谱以及Ｘ－射线粉末衍射等手段进行了表征。     

Stein流形上凸区域的边界性质

研究Ｃ＾ｎ空间和Ｓｔｅｉｎ流形上凸区域的边界性质,利用局部化技巧和Ｃ＾ｎ空间中凸区域的ＣｏｘｏЦｋｕｕ－Ｐｌｅｍｅｌｊ公式,定义Ｓｔｅｉｎ流形上具有Ａｉｚｅｎｂｅｒｇ核的Ｃａｕｃｈｙ型积分的奇异积分的Ｃａｕｃｈｙ主值,得到如下的Ｓｔｅｉｎ流形上凸区域的ＣｏｘｏЦＫｕｕ－Ｐｌｅｍｅｌｊ公式Ｆ＾＋（η）＝Ｖ,Ｐ∫Ｍεｆ（ε）Ｋ（η,ε）＋１／２ｆ（η）,η∈Ｍ;Ａ＾－（η）＝Ｖ．Ｐ．∫Ｍεａ（ε）＾Ｔ     

取代型钨硅杂多化合物的导电性及磁性

合成并表征了过渡金属取代的钨硅杂多化合物α－Ｎａｎ〔ＳｉＷ９Ｍ３（Ｈ２Ｏ）３Ｏ３７〕·１８Ｈ２Ｏ〔Ｍ＝Ｍｎ（Ⅱ）,Ｃｕ（Ⅱ）,Ｆｅ（Ⅲ）〕（简写α－ＳｉＷ９Ｍ３,以下类同）和α－Ｎａｎ〔ＳｉＷ１１ＭＯ３９（Ｈ２Ｏ）〕·１８Ｈ２Ｏ,在室温下,α－ＳｉＷ９Ｆｅ３的电导率σ值可达１０－３Ｓ·ｃｍ－１,３４３Ｋ时可达１０－２Ｓ·ｃｍ－１,表明是一类新型高质子导体,磁分析表明,α－ＳｉＷ９Ｍ３具有磁性．     

CdI2与TSC加成物的合成及结构

ＣｄＩ２与ＴＳＣ在丙酮溶剂及水中形成加成物ＣｄＩ２（Ｃ４Ｈ１０Ｎ３Ｓ）２·Ｈ２Ｏ,晶体属单斜晶系,空间群为Ｐ２１／ｍ．晶胞参数为ａ＝０．７５３３（３）ｎｍ,ｂ＝１．５３５（２）ｎｍ,ｃ＝０．８４３７（２）ｎｍ,β＝９０．９１（３）°,ｖ＝０．９７６（１）ｎｍ３,Ｍｒ＝６４８．６４,Ｚ＝２,Ｄｃ＝２．２０ｇ·ｃｍ－３,μ（ＣｕＫα）＝４４．５８ｃｍ－１,Ｆ（０００）＝６０８,Ｔ＝２９７Ｋ．用１６２２个Ｉ≥３σ（Ｉ）独立衍射精修结构,最终偏差因子Ｒ＝０．０５７,晶体中存在分离的单核络合物ＣｄＩ２（Ｃ４Ｈ１０Ｎ３Ｓ）２·Ｈ２Ｏ,Ｃｄ原子呈畸变四面体配位．两个Ｃｄ－Ｉ和Ｃｄ－Ｓ键长分别为０．２７３０ｎｍ,０．２７４３ｎｍ和０．２５７５ｎｍ．     

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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