函数凸性判定定理的证法及应用

利用拉格朗日中值定理、函数的单调性及泰勒中值公式给出了凸函数一个定理的三种新的证明方法,还给出了定理的一个推论,最后给出两个例子对其推论加以应用．     

正项级数的N.H.Abel-U.Dini定理的一个推广

给出并证明了正项级数N．H．Abel—U．Dini定理的一个推广，及由N．H．Abel—U．Dini定理和U．Dini定理得出了几个推论．     

关于极限的几个定理

给出了极限的几个定理及其推论，可以解决或简化某类极限问题。推论2修正了数学通报11（1963）《关于极限的一个定理》。     

概率加法公式新定理

在一般概率加法公式的基础上提出可列概率加法公式定理，同时给出了可列概率加法公式成立的充要条件，据此定理得出了一个有价值的推论．     

一个几何定理所涉及的三个三角形

本文给出一个几何定理的若干推论，这些推论揭示了定理中三个三角形之间的深刻的内在联系。     

关于亚纯函数导数的四值定理的一个注记

本给出了关于亚纯函数导数的四值定理1和推论2，从而推广了[3]中给出的亚纯函数导数的四值定理。     

拉姆赛型问题的研究及应用

通过对一道数学竞赛题的讨论，研究了拉姆赛数，给出了与拉姆赛数相关的4个定理2个推论，最后由实例给出了拉姆赛型问题的一些解法．     

一个与组合数有关的递推式及其应用

定理其中m是非负整数，a，b是复数域内任意数，则证明：（1）若，m＞0，则综上（1）、（2），定理得证．于该定理中令m=1或m=2，即得下面两个推论同法可证推论2：有了上述定理及其推论，我们可以写出许多特殊的与且会数有关的恒等式，其中大部分在中学可用数学归纳法证明，而用上这里的定理显得简单多了．由复数相等的定义即得（1）、（2）成立．更进一步，我们还可以得到推论3设某H项分布成功的概率是广，失败的概率是q=P-1，记表n重二项分布的m阶原点矩，并约定，则证明：设为n次独立试验恰有足次成功的概率，那么由定理，令（1）则利用…     

弱膨胀映射及其不动点定理

B．E．Rhoades在文[1]中系统地归纳总结了各种压缩型映射的定义．王尚志等在文[2]中对于三种压缩型映射给出了相应的膨胀型映射的定义,并证明了它们的不动点存在定理．本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文[2]中三个不动点定理都是它的推论．     

L^p（T，∑，μ）（p≥1）型空间单位球面间的等距的表现和延拓

给出了L^p型空间单位球面间的满等距表现定理，推广了关于l^p型空间的相应定理．作为简单推论证明了相关的等距延拓定理．     

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     

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

正~~