关于n维情形的Menelaus定理与Ceva定理

利用度量几何的理论与方法，研究了n维欧氏空间旷中n维单形的Menelaus定理与Ceva定理问题，建立了n维情形的Menelaus定理与Ceva定理，作为其特例得到三角形的Menelaus定理与Ceva定理。     

非线性映射的局部线性化

我们知道在有限维分析中有重要的反函数定理，隐函数定理及秩定理，在无穷维Ｈｉｌｂｅｒｔ空间中，当ｆ为非线性Ｆｒｅｄｈｏｌｍ映射时，文「１」中给出了类似于限维体操 一个秩定理，本文将讨论当ｆ业般非线性连续呆微映射时，ｆ在某一点可局部线性化的充分条件，从而推广了有限维分析中的反函数定理，隐函数定理及秩定理。     

关于某类正则Fourier级数及其导级数的求和法

引入一类正则的Ｆｏｕｒｉｅｒ级数及其导级数的求和法，并得到了相应的求和定理、饱和类定理及逼近定理，同时改进并推广了［１］的求和定理，修正了［１］的饱和类定理。     

微分中值定理的逆问题

研究了Lagrange定理和Taylor定理的逆问题，证明了在一定的条件下，Lagrange定理和Taylor定理的逆定理成立，为更好地利用微分中值定理提供了理论根据．     

关于单叶函数两邻项系数模之差的估计

此文的主要目的，是给出定理１，它是目前比较好的结果，特别是当Ｐ＝１时，改进了（１．３）中的３．６１为（３．５）式中的２．７３３，此结果是目前最好的结果。其次定理２放改进了定理Ｂ，同进我们给出了具有Ｈａｙｍａｎ指数ａ＞０类似于定理Ｂ的结果定理３，此定理也可以作为定理Ｂ的推广，也可以作为定理２的改进。     

双枝模糊集并-表现定理

建立了双枝模糊集并-表现定理，讨论了双枝模糊集的运算性质.结果表明：双枝模糊集表现定理是单枝模糊集表现定理的一般形式，单枝模糊集表现定理是双枝模糊集表现定理的特例.     

单枝模糊集表现定理对偶形式

利用数与集合套的数积这种定义形式，给出了单枝模糊集表现定理的对偶形式，即交-表现定理。分析了模糊集交-表现定理与并-表现定理的关系，并在交-表现定理基础上进一步讨论了模糊集的一些运算性质。     

中值定理的抽象度分析

运用抽象度分析理论对中值定理这一章的内容进行了定理与定性分析，指出拉格朗日中值定理、柯西中值定理和泰勒定理应是本章的重点内容，揭示了上述定理的历史抽象过程，挖掘了渗透在其中的思想方法，并结合抽象度分析图和它们的历史抽象过程指出形成上述定理的有效途径。     

“电路”中最大功率传输定理的教学方法探讨

最大功率传输定理是电路理论中一个重要定理。教学中发现：学生在应用定理解题时，经常出现不注意使用条件，引起定理误用的情况，基于此，本文从如何正确使用定理解题角度出发，从所用教材的一道习题引出问题，对最大功率传输定理的使用条件进行了说明，同时给出了不满足使用条件下的解题对策，并通过例子加以说明，指出在教学中强调使用条件的重要性，旨在提高学生对最大功率传输定理的正确掌握。     

聚点定理及其应用规律

探讨了聚点定理的证题规律，并按此规律给出了区间套定理、确界定理及有限覆盖定理的证明，指出了深刻理解和熟练掌握聚点定理及其应用，有着十分重要的意义．     

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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