帐蓬空间的一点注记

设ｆ（ｘ）是Ｒ＾ｎ上的可测函数，ｕ（ｘ，ｔ）＝ｆ＊ｐｔ（ｘ）为ｆ的Ｐｏｉｓｓｏｎ积分，定义算子Ｆ（ｆ）（ｘ，ｔ）＝ｔ（θｕ（ｘ，ｔ）／θｔ）。在本注记中我们首先给出一则反例以说明Ｆ不是Ｌ＾∞（Ｒ＾ｎ）到帐蓬空间Ｔ＾∞的有界算子，然后证明了Ｆ却是ＢＭＯ（Ｒ＾ｎ）到Ｔ＾∞的有界算子。它补充、完善了Ｃｏｉｆｍａｎ－Ｍｅｙｅｒ－Ｓｔｅｉｎ的结果。     

竟聚率值,烷基基团和系列有机锡单体,MMA共聚活性的相关性

本文采用ＦＴＩＲ技术测定了共聚物的组成，用Ｆｉｎｅｍａｎ—Ｒｏｓｓ法、最小二乘曲线拟合法（ＮＬＳ法）、置信区间法计算了甲基丙烯酸三甲基锡酯（ＴＭＴＭ）、三乙基锡酯（ＴＥＴＭ），三丁基锡酯（ＴＢＴＭ）和三苯基锡酯（ＴＰＴＭ）与甲基丙烯酸甲酯（ＭＭＡ）的竟聚率，ＮＬＳ法的数值分别为：ｒ１＝１．０７，ｒ２＝０．６３（ＴＭＴＭ／ＭＭＡ）；０．８７，０．６２（ＴＥＴＭ／ＭＭＡ）；０．６２，０．５８（ＴＢＴＭ／ＭＭＡ）；０．６８，０．６０（ＴＰＴＭ／ＭＭＡ），并计算了各单体的Ｑ和ｅ值，讨论了不同取代基结构对其共聚合相对活性的影响．     

NETS OF LF SETS IN LF SUM─TOPOLOGICAL SPACES

ＮＥＴＳＯＦＬＦＳＥＴＳＩＮＬＦＳＵＭ─ＴＯＰＯＬＯＧＩＣＡＬＳＰＡＣＥＳ￥ＺｈｕＭｉｎｇｋｕｉ；ＳｕｎＱｕｎ（ＴｈｅＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｗｅｄｉｓｃｕｓｓｔｈｅｒｅｌａｔｉｏｎｏ...     

苯乙烯—甲基丙烯酸共聚物的合成,结构与性能研究

采用悬浮聚合法合成了苯乙烯－甲基丙烯酸共聚物（ＳＭＡＡ），得率为９２％左右。由Ｋｅｌｅｎ－Ｔｕｄｏｓ法求得苯乙烯（Ｓｔ）与甲基丙烯酸（ＭＡＡ）在８０℃进行共聚反应的竞聚率为Ｔｓｔ＝０．３０５，ＴＭＡＡ＝０．６００。通过正交试验，确定了最佳配方。经ＦＴ－ＩＲ、ＤＳＣ、元素分析、化学滴定、ＧＰＣ等表征，证实了所合成的产物为透明的苯乙烯－甲基丙烯酸无规共聚物。研究表明，ＳＭＡＡ的耐热性比ＰＳ好得多，其玻     

用Loeb测度构造正则及τ－光滑Borel测度

设（Ｘ，Ｔ）是Ｔ２空间，Ｔ１是拓扑Ｔ的基，Ａ是＊Ｘ上的内代数，ν是Ａ上的内测度，本文用无穷小方法证明了：在ｋ－饱和的非标准模型中，若Ｘ是正则空间，且对每一Ｔ∈Ｔ１，＊Ｔ∈Ａ，则对Ｘ的每一Ｂｏｒｅｌ集Ｂ，ｓｔ－１（Ｂ）∈Ｌｕ（Ａ）∩ｎｓ（＊Ｘ），且νｓｔ－１｜Ｆ（Ｘ）是τ－光滑Ｂｏｒｅｌ测度，νｓｔ－１｜Ｆ（Ｘ）是Ｒａｄｏｎ测度；若对每一Ｔ∈Ｔ，＊Ｔ∈Ａ，并且对每一Ｔ∈Ｔ及每一ε∈Ｒ＋，有闭集ＣＴ，使Ｌ（ν）（＊Ｔ－＊Ｃ）＜ε，则对每一Ｂｏｒｅｌ集Ｂ，ｓｔ－１（Ｂ）∈Ｌ（ν，Ａ）∩ｎｓ（＊Ｘ）且νｓｔ－１｜Ｆ（Ｘ）是正则τ－光滑Ｂｏｒｅｌ测度．文中并讨论了这些结果在测度扩张中的应用     

关于P—内射环

假定Ｒ和Ｔ均是环,Ｍ是（Ｒ,Ｔ）－双模且ＭＴ是忠实的,利用双模ＲＭＴ来研究Ｔ的Ｐ－内射性,证明了如下结果：环Ｔ是右Ｐ－内射的当且仅当对于任意ｔ∈Ｔ有Ｍｔ＝（Ｍｔ）＾ｃ）＾ｓ和Ｔｔ＝（Ｍｔ：Ｍ）Ｔ;环Ｔ是左Ｐ－内射的当且仅当时于任意ｔ∈Ｔ有ｌＭ（ｔ）＝（（ｌＭ（ｔ）＾ｓ）ｃ和ｔＴ＝ｒＴｌＭ（ｔ）。     

乙炔二锂（C2Li2）异构体反应的分子轨道研究

基于量子化学从头计算法（ＣＣＳＤ（Ｔ）、ＱＣＩＳＤ（Ｔ））以及二阶微扰法（ＭＰ２），研究了乙炔二锂分子的平面桥式与线性式之间的异构化途径．６－３１１Ｇ（ｄ）基态被用于几何优化和反应途径的确定，而６－３１Ｇ（３ｄｆ）基态被用于单点式计算．其有关结构优先及成键特征的结果与用Ｍφｌｅｒ－Ｐｌｅｓｓｅｔ微扰方法所得一致．在ＭＰ２／６－３１１Ｇ（ｄ）理论水平上给出了质－权坐标的最小能量途径．在本研究的最高理论水平［ＱＣＩＳＤ（Ｔ，ＦＵＬＬ）／６－３１Ｇ（３ｄｆ）∥ＱＣＩＳＤ（Ｔ，ＦＵＬＬ）／６－３１１Ｇ（ｄ）］上，发现平面型分子的异构化势垒（１０．０ｋｃａｌ／ｍｏｌ）要比线型Ｃ２Ｌｉ２（１．３ｋｃａｌ／ｍｏｌ）的大得多     

Claw─centre Independent Graphs

Ｃｌａｗ┐ｃｅｎｔｒｅＩｎｄｅｐｅｎｄｅｎｔＧｒａｐｈｓＬｕＭｅｉ（陆玫）ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｓｉｎｇｈｕａＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１０００８４Ａｂｓｔｒａｃｔ：ＩｆＦｉｓａｇｒａｐｈ，ｔｈｅｎ...     

正弦信号抽样中若干基本问题的讨论

讨论了抽样定理对正弦信号的适用性及对正弦信号截短时所应遵循的基本原则。对形如ｘ（ｔ）＝Ａｓｉｎ（２πｆ０ｔ＋φ）的一般正弦信号，若φ＝π／２或φ已知（但φ≠０），那么，抽样频率ｆｓ只需取二倍的ｆ０，即可由抽样序列ｘ（ｎ）重建ｘ（ｔ）；若φ未知，不论对实正弦还是复正弦，为保证ｘ（ｔ）的重建，抽样频率ｆｓ至少要取三倍的ｆ０；当用离散傅里叶变换（ＤＦＴ）对截短后的ｘ（ｎ）作频谱分析时，为防止泄漏，抽样频率ｆｓ应取信号频率ｆ０的整数倍，信号长度应包含整周期；此外，还分析了正弦信号抽样中的不确定性以及相应的解决办法。     

一类二阶Volterra-hammerstein型积分微分方程非线性边值问题

本文利用上下解方法研究了一类Ｖｏｌｔｅｒｒａ－ｈａｍｍｅｒｓｔｅｉｎ型积分微分方程非线性边值问题（｜ｕ｜ｐ－２ｕ）＝ｆ（ｔ，ｕ，Ｔ１ｕ，Ｔ２ｕ，ｕ）（ｐ＞１）Ｌ（ｕ（０），ｕ（０））＝０Ｒ（ｕ（１），ｕ（１））＝０｛［Ｔｉｕ］（ｔ）＝φｉ（ｔ）＋∫ｔｏＫｉ（ｔ，ｓ）ｕ（ｓ）ｄｓ（ｉ＝１，２）给出了解的存在性定理．     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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