共球有限点集的一个性质与应用

利用反演变换将ｎ维欧氏空间Ｅ＾ｎ中共球有限点集转化为Ｅ＾ｎ空间中的ｎ－１维超平面上的有限点集来研究,从而得到这两个点集之间的一些十分有趣的度量关系,并且还得到一类几何不等式。     

pk元域F的单超越扩域E上的方程yn=D与Ay2n+Byn+C=0

设Ｆ是ｐ＾ｋ元域，Ｅ是Ｆ的单超越扩域，给出Ｅ上的方程ｙ＾ｎ＝Ｄ与Ａｙ２ｎ＋Ｂｙ＾ｎ＋Ｃ＝０有Ｅ中有限或没有根的条件。若方程有限，则同时给出根的个数。     

M.S.Klamkinu问题的几个推广

设ｎ维欧氏空间Ｅ＾ｎ中ｎ维单形Ω的外接球半径为Ｒ，内切球半径为ｒ，Ｍ．Ｓ．Ｋｌａｍｋｉｎ获得了一个几何不等式Ｒ≥ｎｒ，本文给出了上述不等式的几个推广。     

一个猜想的高维推广

最近文献［１］是提出一个关于三角形之几何不等式的猜想，本文将这一猜想推广到ｎ维欧氏空间Ｅ＾ｎ中的ｎ维单形，并证明其正确性。     

球面型空间的广义度量方程及其应用

提出了球面型空间中双基本图形的概念,利用代数方法建立了球面型空间中双基本图形的广义度量方程,从而推广了杨路和张景中的结果.作为初步应用,给出了球面型空间中涉及两个单形的一些有趣公式.     

P^n中的Desargues定理

本文将射影几何著名的Ｄｅｓａｒｇｕｅｓ透视三点形定理推广到ｎ维射影空间ｐ＾ｎ的ｎ维单纯形中。     

几何构想

在三维欧氏空间Ｅ＾３中，给出了方程，如何想象或给出图形，本文提出了基本的方法，并讨论了某些较一般的情形。     

关于E^n中n维单形的两个恒等式及其应用

获得了Ｅ＾ｎ中ｎ维单形的两个恒等式，利用它们得到了著名的ｎ维Ｅｕｌｅｒｉ ｔｆｆｕａａ ｅｙ ａｄｗ ｒｗｙｙ，Ｇｅｒｂｅｒ不等式的推广以及垂足单形不等式。     

关于一类有界拟凸域全纯自同构群的一个注记

证明了从拟凸域Ｅ（ｍ，ｎ，ｋ）＝（ｚ，ｗ）∈Ｃ＾ｍ＋ｍ；／ｚ／＾２＋／ｗ／＾２ｋ〉１，ｚ∈Ｃ＾ｎ，ｗ∈Ｃ＾ｍ，ｋ〉０／的作地一不变Ｋａｈｌｅｒ度量都可以导出相贩Ａｕｔ（Ｅ）。     

偏微分方程中的Fourier变换及其应用

Ｆｏｕｒｉｅｒ变换在偏微分方程理论中占有相当重要的地位。本文通过经典的Ｆｏｕｒｉｅｒ变换求解一维、二维热传导方程Ｃａｕｃｈｙ问题的方法，推广Ｆｏｕｒｉｅｒ变换到速降函数空间ψ（Ｒ＾ｎ）和ψ（Ｒ＾ｎ）上的线性连续泛函ψ＇（Ｒ＾ｎ）广义函数空间上，求出了Ｃａｕｃｈｙ－Ｒｉｅｍａｎｎ方程、热传导方程、常系数椭圆算子方程以及形如δｕ／δｔ＝ｐ（δ／δｘ）ｕ的方程的Ｃａｕｃｈｙ问题的基本解。最后引入了Ｆｏｕ     

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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