关于Bessis-Moussa-Villani猜想的讨论

本文主要介绍BMV(Bessis-Moussa-Villiani)猜想提出的背景、意义,及有关学者证明这个猜想的一些有意义的工作,并对BMV猜想的证明思路进行了疏理。     

关于U.Neri的对偶定理的一点注记

本文目的在于订正文献[1]中关于BMV(spaces of functions with boundedmixed variance)的对偶性质的定理的证明。     

菲尔兹奖青睐的数学猜想——庞加莱猜想及其历史进程

自1904年庞加莱猜想提出后,百余年来,许多数学家为证明这一猜想付出了艰辛的努力,国际数学家大会上曾多次因几位数学家部分破解这个难题而获得菲尔兹奖。论文从历史背景、影响价值及其意义、曲折的证明过程、中国数学家对猜想的努力及作用等方面,阐述了庞加莱猜想的历史及其研究过程。     

直积图的分数色数

有关直积图的色数,在图论中有Hedetniemi猜想,该猜想是建立在连通图的基础上,并且已证明该猜想对于一些特殊图是成立的.证明了对于连通的点传递图,Hedetniemi猜想在分数染色意义下也是成立的.     

Bondy猜想的简短证明

在本文中,我们给出了 Bondy 猜想的新的简短证明。证明方法揭示了从 Dirac 定理到 Bondy猜想的联系。     

洞数为1的纽结上的Dehn手术

针对洞数为 1的纽结证明性质 P猜想 ,部分证明缆式猜想 ;并给出缆式纽结的洞数为1的一个必要条件     

S_1-Frankl猜想的6元素情形(Ⅰ)（英文）

并封闭集猜想(又称Frankl猜想)即对于一个由有限个有限集合构成的关于并运算封闭的集族,如果这个集族至少包含一个非空集合,那么存在一个元素包含在至少一半的集合里.最近,本文作者与崔振提出了Frankl猜想的两个加强版本(简称为S_1-Frankl猜想与S_2-Frankl猜想),并给出了部分证明.特别地,作者证明:如果n≤5,则S_1-Frankl猜想成立,其中n表示这个集族中所有元素的个数.本文及其姊妹文证明当n=6时结论也成立.这是证明的第一部分.     

一个猜想不等式的证明与改进

运用三角形中几何元素代换证明一个精细的三角不等式,证明三角不等式的一个猜想,并改进该猜想不等式,获得其加强、加细及推广形式。     

优美图Bodendiek猜想的证明

Bodendiek猜想一个圈加一条弦是优美图。已由[1]和[2]给出证明。本文以矩阵为工具,给出该猜想的另一种证明,并证明了该猜想的一种推广。     

关于亚完备二分图和r-冠的优美性

本文证明了亚完备二分图、P1+Pn及其r-冠的优美性,由此得到一些有趣的推论和一个有意义的猜想。     

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.     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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