Poincaré定理的一种推广

Ｐｏｉｎｃａｒé分隔定理在矩阵论中是一个重要的结果，它有许多应用．本文给出它的一种推广形式．定理１设Ａ是ｎ×ｎ半正定对称矩阵，Ｕ是ｎ×ｐ列满秩阵，且Ｕ′Ｕ＝ｄｉａｇ（δ１，δ２，…，δｐ），δ１≥δ２≥…≥δｐ＞０是Ｕ′Ｕ的顺序特征根，则有δｐλｎ－...     

矩阵酉极因子的扰动界

设Ａ是ｍ×ｎ (ｍ≥ｎ)复矩阵 .我们知道存在一个列向量是规范的且互相正交的矩阵Ｑ ,即 ,Ｑ Ｑ =Ｉ和唯一半正定的Ｈｅｒｍｉｔｅ矩阵Ｈ使得Ａ =ＱＨ ,( 1 .1 )其中 :Ｉ表示适当维数的单位矩阵和符号 表示共轭转置 .分解式 ( 1 .1 )称为Ａ的极分解 .如果Ａ有满秩 ,那么Ｑ也是唯一确定的 .事实上 ,Ｈ =(Ａ Ａ) 1/ 2 ,Ｑ =Ａ(Ａ Ａ) -1/ 2 .分解式( 1 1 )也能通过Ａ的奇异值分解来确定 ,若Ａ的奇异值分解为Ａ=ＵΣＶ ,则有Ｈ=ＶΣ1Ｖ ,Ｑ=Ｕ1Ｖ ,其中 :Ｕ =(Ｕ1,Ｕ2 )和Ｖ是酉阵 ,Ｕ1是ｍ ×ｎ阶矩阵 ,Σ =Σ1　0 和Σ1=ｄｉａｇ (σ1,… ,…     

与单位圆上的自同构群相关联的小波

ＳＵ（１，１）＝ＫＡＫ是复平面上的单位国 Ｄ的自同构群的Ｃａｎｔａｎ分解．它在Ｌ~（ｋ，２）（Ｄ）上有一个自然的酉表示．在这篇文章里我们给出了与群ＳＵ（１，１）相关联的可允许条件的特征刻划和函数空间Ｌ~（Ｋ，２）（Ｄ）的正交直和分解．     

STRANGE ANTIBARYON PRODUCTION DATA AND REDUCTION OF STRANGENESS SUPPRESSION IN SULPHUR-NUCLEUS COLLISIONS AT 200A GeV

ＳＴＲＡＮＧＥＡＮＴＩＢＡＲＹＯＮＰＲＯＤＵＣＴＩＯＮＤＡＴＡＡＮＤＲＥＤＵＣＴＩＯＮＯＦＳＴＲＡＮＧＥＮＥＳＳＳＵＰＰＲＥＳＳＩＯＮＩＮＳＵＬＰＨＵＲ┐ＮＵＣＬＥＵＳＣＯＬＬＩＳＩＯＮＳＡＴ２００ＡＧｅＶＳａＢｅｎｈａｏ１，２，３，５ＴａｉＡｎ４１...     

羧甲基纤维素取代基沿分子链分布的均一性（Ⅱ）─—异丙醇－水组成比的影响

用电位滴定法实验测定异丙醇－水体系内醇与水不同比例下生成的羧甲基纤维素（ＣＭＣ）完全酶解及酸解后的还原端基数和其酸解速率，研究溶剂组成对ＣＭＣ取代基均一性的影响．发现在异丙醇含量为７５％～９５％范围内，随异丙醇用量增大，生成的ＣＭＣ取代度升高，取代基分布均一性变好，表现为取代链段长度Ｌｓｎ变长．而未取代ＬＧｍ变短，且Ｌｓｎ／（Ｌｓｎ＋ＬＧｍ）也增大，在Ｓｎ中夹杂的未取代葡萄糖单元（ＡＧＵ）数目也降低，ＣＭＣ表现出很好的耐酸性．     

THETHIRD┐ORDERPOLARIZABILITYOFDOPYBALLSC60－nXn（X＝B，N；n＝1，2）

ＴＨＥＴＨＩＲＤ┐ＯＲＤＥＲＰＯＬＡＲＩＺＡＢＩＬＩＴＹＯＦＤＯＰＹＢＡＬＬＳＣ６０－ｎＸｎ（Ｘ＝Ｂ，Ｎ；ｎ＝１，２）ＸｕＱｉａｎｇＪｉａｎｇＪｉｅＤｏｎｇＪｉｎｍｉｎｇＸｉｎｇＤｉｎｇｙｕ（ＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓ，ＮａｎｊｉｎｇＵ...     

LARGE PIEZORESISTANCE AND PRESSURE－INDUCED METAL－SEMICONDUCTOR TRANSISTION IN THE PEROVSKITE－LIKE La－Ar－Mn－O

ＬＡＲＧＥＰＩＥＺＯＲＥＳＩＳＴＡＮＣＥＡＮＤＰＲＥＳＳＵＲＥ┐ＩＮＤＵＣＥＤＭＥＴＡＬ┐ＳＥＭＩＣＯＮＤＵＣＴＯＲＴＲＡＮＳＩＳＴＩＯＮＩＮＴＨＥＰＥＲＯＶＳＫＩＴＥ┐ＬＩＫＥＬａ┐Ａｒ┐Ｍｎ┐ＯＺｈａｎｇＮｉｎｇ１），２）ＤｉｎｇＷｅｉｐｉｎｇ...     

DyNiSn晶胞中的原子位置

在稀土化合物ＤｙＮｉＳｎ的Ｘ射线粉末衍射数据的基础上，用计算程序ＬＡＺＹ ＰＵＬＶＥＲＩＸ确定了Ｄｙ、Ｎｉ、Ｓｎ原子等效点位置。     

双扰动约束方程的扰动分析

在电网络理论［１．２］中，考虑约束方程ＡＸ＋ｙ＝ｂ，Ｘ∈Ｌ，ｙ∈Ｌ⊥，其中Ａ∈Ｃｎ×ｎ，子空间，ｂ∈Ｃｎ．当Ａ有小扰动矩阵Ｅ，ｂ有小扰动△ｂ时，存在ｘ，ｙ满足（Ａ＋Ｅ）ｘ＋ｙ＝ｂ十△ｂ，ｘ∈Ｌ，ｙ∈Ｌ⊥，本文给出双扰动约束方程的扰动分析，并证明了条件数在理论解ｘ和扰动解ｘ的相对误差界中的最优性，改进了文献［８］中的结果．     

A E0A与AE0A的有定及不定问题

本文研究了Ｈｅｒｍｉｔｅ阵Ａ￣＊Ｅ＿０Ａ与ＡＥ＿０Ａ￣＊的有定性及不定性问题，并给出具体的判定方法．其中Ａ是任何ｍ×ｎ阶矩阵．     

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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