次微分意义下集值映射优化问题的最优性条件

在实赋范空间中,研究集值向量优化问题解的最优性条件。给出了锥凸集值映射次梯度和次微分的概念,通过锥凸集值映射的上图象的条件锥定义了锥凸集值映射的条件上导数,研究了次微分的性质。在次微分意义下,获得了集值映射优化的弱极小元的最优性条件。     

三种广义凸集值映射和向量优化(英文)

通过放宽凸集值映射的定义引入了C-E-凸,semi-C-E-凸和quasisemi-C-E-凸集值映射的概念,并得到了它们的一些性质.作为应用,给出了关于向量优化中超有效性的一些结论.     

次弧连通锥-凸集值优化问题近似解的最优性条件

本文讨论相依上图导数形式下广义弧连通锥-凸集值优化近似解的最优性条件问题.首先,本文引入次弧连通锥-凸集值映射的概念,并举例说明次弧连通锥-凸性是弧连通锥-凸性的推广;其次,得到了次弧连通锥-凸集值映射的两个有用性质;最后,在次弧连通锥-凸性条件下,分别建立了集值优化问题强近似极小元和弱近似有效元的充分最优性条件.     

集值映射向量优化问题（真）有效点集的连通性

对向量集值映射引入锥类凸的概念，并给出锥类凸集值映射的一个等价刻划和逼近锥的几个重要性质。利用这些概念与结果，对赋范线性空间中带集值映射的向量优化问题的有效点集和Ｂｅｎｓｏｎ真有效点集建立了两个标量化定理。据此，证明了这两个集合的连通性。     

集值优化问题全局极小解集的连通性

在Hausdorff局部凸空间中,讨论了集值优化问题全局极小解的连通性问题.证明了当目标函数为锥类凸集值映射时,其目标空间里的全局有效点集是连通的;若目标函数为弧式锥凸集值映射,则其全局极小解集也是连通的.     

具有Q-函数的集值Ekeland变分原理的等价性

根据各种Ekeland变分原理的等价形式,主要对在拟度量空间中所建立的具有Q-函数的集值Ekeland变分原理进行其等价性研究。首先根据在拟度量空间中所建立的具有Q-函数的集值Ekeland变分原理给出相应的集值形式的Caristi-Kirk不动点定理,Takahashi非凸极小化定理和Oettli-Théra定理,并给出证明。随后讨论新建立的集值形式的Caristi-Kirk不动点定理,Takahashi非凸极小化定理和Oettli-Théra定理与具有Q-函数的集值Ekeland变分原理之间的等价性。     

集值优化问题近似解的最优条件

在实赋范线性空间中建立一类集值优化问题近似解的最优条件和对偶定理.在锥-逼近多值函数概念的基础上,借助锥-次不变凸性,研究最优条件和对偶定理.运用分析的方法,在广义凸性假设条件下,得到Henig近似解极小点和Global近似解极小点的最优条件,及Mond-Weir和Wolfe模型下的弱对偶定理、强对偶定理和逆对偶定理.研究成果可丰富和发展集值优化理论算法及其应用.     

关于向量集值优化问题的几个注解

对集值映象Ｆ：Ｓ→２＾Ｙ引入了集值Ｃ－预不变凸和发生上导数的概念,证明了向量集值优化问题与广义向量变分不等式等价。     

次预不变凸集值映射向量优化问题

研究了集值映射向量优化问题的最优性条件和对偶，首先给出了集值映射的次预不变凸概念，并建立了参不变凸集值映射的择一定理，其次应用择一定理获得了集值映射向量优化问题的最优性必要条件，最后给出了对偶问题并推导了对偶定理。     

集值优化问题强有效元的二阶最优性条件

在实赋范线性空间中考虑集值优化问题的强有效性, 借助集值映射的二阶切导数, 利用基泛函及强有效元的性质, 给出了目标函数为近似锥次类凸时无约束集值优化问题的二阶导数型最优性的必要条件, 并在锥 凸假设下给出了充分条件.     

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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