格链和组合恒等式

研究在给定长度下由格点构成的链的数目，并给出了关联函数的任意次幂的计算公式。利用序关系的对称性以及生成函数技巧，建立了对称型和Ｖａｎｄｅｒｍｏｎｄｅ型组合恒等式，推广了有关格路计数的结果。     

组合恒等式的两种新证法

组合恒等式在组合数学中占有重要地位，它有多种证法．本文舍弃了它的常见证法，另外运用了求导法则和概率方法对几个重要的组合恒等式给出了直观简洁的证明．     

一些数列的组合恒等式

主要应用初等方法研究了一些数列的性质，同时给出了一些组合恒等式．     

关于一个组合恒等式的证明

用母函数方法证明了一个组合恒等式,它推广了由常庚哲,单墫提出并证明的一个组合恒等式,然后借助这一结果,又给出了若干有趣的组合恒等式.     

矩阵的升链性与组合恒等式

本文利用矩阵的升链性，给出若干组合恒等式的证明。     

Cauchy组合恒等式的多种推广：兼谈幂级数一定理及其应用

本文获得幂级数一定理，应用这一结果给出Ｃａｕｃｈｙ组合恒等式的新证和三种推广．     

Sheehan组合恒等式的多种推广

１９７０年ＳｈｅｅｈａｎＪ．获得的一个组合恒等式，本文给出四种推广，其中有两种推广为笔者１９５５和１９９１年的结果，过去没有发现它们之间一般与特殊的关系，还有两种推广为笔者最新的结果，这两个新的结果之间也存在着一般与特殊的关系，由此可知，这些组合恒等式之间存在着有趣的关系，特别是从发表的时间上来看，笔者１９５５年结果的特例就是１９７０年ｓｈｅｅｈａｎ结果。     

用代数方法证明了一个组合恒等式

给出了一个组合恒等式的代数证明，它比组合方法的证明简洁清晰。     

利用必然事件的概率证明组合数恒等式

通过建立概率模型,讨论了概率论在一类组合数恒等式证明方面的应用,这给出了组合数恒等式证明的一种有效方法。     

一个组合恒等式的证明和应用

分别用复变函数论、组合论和图论三种方法证明了 与数\,$n^{n-2}$\,的组合计数问题相关的一个组合恒等式, 并给出该恒等式在图论、超平面配置等一些组合问题上的应用.     

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