鞍点存在定理与minimax定理

建立如下结果：１．一个弱型广义鞍点存在定理；２．一个强型广义鞍点存在定理．３．两个关于向量函数的广义ｍｉｎｉｍａｘ这理，这些定理推广了Ｔａｎａｋａ最摈结果，为作这些推广，提出了向量值函数新的广义齿性条件，这些条件是严格弱于通常的ｎａｔｕｒａｌ拟 ｎａｔｕｒａｌ严格拟凸的，考虑的数学结构空间是局部凸的拓扑定量空间和实用序的拓扑向量空间。     

拟凸函数的minimax定理

推广了向量值函数的拟凸性概念，讨论了向量值函数的几种凸性之间的关系，研究了Ｈａｕｓｄｏｒｆｆ拓扑向量空间中向量值函数的ｍｉｎｉｍａｘ定理，在广义的拟凸性条件下，建立了一个一般的ｍｉｎｉｍａｘ定理，其证明是基于Ｈａｕｓｄｏｒｆｆ拓扑向量空间中的分离定理与广义的实值ｍｉｎｉｍａｘ定理；并举例说明所得结果是Ｆｅｒｒｏ撮近系列结果的推广。     

SKKM型定理的推广及其应用

在L—凸空间的非紧子集上引入了广义GL-SKKM映象，建立了关于紧闭值或转移紧闭值的广义GL-SKKM映象的广义GL-SKKM定理．作为应用，证明了L—凸空间中的极大极小不等式定理和鞍点定理。     

一类非凸非线性分式规划的对偶性

对广义不变凸性条件进行推广，引入了几类更为广泛的广义不变凸性概念，并证明了在这几类新广义不变凸性条件下，一类非凸非线性分式规划的弱对偶定理、强对偶定理和逆对偶定理。所得结果涵盖并推广了有关已知的对偶性定理。     

G-凸空间中的广义KKM定理及极小极大定理

在G凸空间中证明了一个广义KKM定理,并给出了KyFan极小极大定理在G凸空间的推广.     

集值映象簇的不动点定理在广义矢量拟平衡问题组中的应用

在G-凸空间内引入了新的广义矢量拟平衡组问题，并运用非紧乘积G-凸空间内集值映象簇的不动点定理证明了这些广义矢量拟平衡问题组的平衡点的存在性．这些结论进一步推广了不动点定理的一些应用．     

广义凸集值向量优化问题的弱有效解

在序线性拓扑空间中定义了广义凸集值映射．引进了相对内部．应用凸集分离定理建立了一个广义凸集值映射的择一性定理．运用此定理获得了弱有效解意义下的集值向量优化问题的最优性条件．     

拓扑空间内广义 KKM 定理及其应用

1981年,Komiya 在没有线性结构的拓扑空间内引入了凸性概念,定义了一类抽象凸空间,本文,首先在抽象凸空间内证明了广义 KKM 定理,然后应用 KKM 定理在抽象凸空间内得到了一些重叠定理、极小极大定理及其几何形式.这些定理从几个方面推广了 Fan,Lassonde,Park,Browder,Komiya,Allen,Lin,Tan,Takahashi,Yen 等人的相应结果.     

拓扑空间中关于容许集值映象的重合点定理

利用广义R-KKM映象，在不具仃任何凸性结构的拓扑空间中证明了一个关于容许集值映象的重合点定理．作为应用．证明了一个抽象变分不等式，一个KKM型定理和不动点定理．     

L-凸空间内的广义L-R-KKM型定理及应用

作为古典的KKM映像的推广，在L-凸空间内引入了广义L-R-KKM型映像，在非紧设置下证明了某些广义L-R-KKM型定理，给出了对极大极小不等式和鞍点存在性问题的应用，这些定理及应用推广了原有的一些结论。     

涉及2-卫星系统的一类几何不等式

定义了无心2-卫星系统S(m){Γ,A,B,l}和有心2-卫星系统S(2){P,Γ,A,B,l},在适当的假设下,借助于优超理论建立了涉及有心2-卫星系统S(2){P,Γ,A,B,l}的一类几何不等式:〔1/|Γ|∮Γrpds1/p〕≤|Γ|/(2π)cos((lπ)/|Γ|)(p≤-2).有心2-卫星系统S(2){P,Γ,A,B,l}在空间科学中的背景是:可将点P视为地球中心,点A,B视为地球的两颗具有相同的运动轨道和相同的运动线速度的卫星,曲线Γ为卫星运动的轨道,r:=d(P,AB)表示地球中心到直线AB的距离,它是有心2-卫星系统的一种基本几何量.     

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