求解一类非线性规划问题的新途径

给出了一类约束函数单调而目标函数非单调的非线性规划问题的一种新的求解方法。首先给出了将其目标函数单调化的一种方法，然后．通过这个方法将这类非线性规划问题转化为等价的单调规划问题，进而利用已有的关于单调函数的凸化、凹化方法，可将其转化为等价的凹极小问题或反凸规划问题以及标准DC规划问题．再利用已有的关于这些规划问题求全局极小点的方法，可以求得原问题的全局极小点。     

一类非线性规划问题的凹化

我们将一个非线性规划问题转化为等价的凹极小问题、或反凸规划问题或标准DC规划问题的方法称为非线性规划问题的凸化、凹化方法．非线性规划的凸化、凹化方法是全局极小化问题中的一种比较有效的方法之一．本文将对一般的一类约束函数单调而目标函数非单调的非线性规划问题给出其目标函数的一个凹化方法．     

单调优化的一种新的凸化、凹化方法

单调优化是指目标函数与约束函数均为单调函数的全局最优化问题.本文对严格单调函数提出一种新的凸化、凹化方法,进而将单调优化问题转化为等价的凹极小问题或反凸规划或标准D.C.规划问题.     

一类全局优化问题的新的凸化、凹化法

对于目标函数非凸非凹,而约束函数具有凹、凸性的非线性规划问题,本文提出了一种新的凸化凹化法。把目标函数直接凸化、凹化,再把原问题转化为反凸规划问题或极小化问题或标准D.C.规划问题,从而求得原问题的全局最优解。     

非线性规划的一种基于极大熵函数的单调化方法

对约束函数单调而目标函数非单调的非线性规划问题,给出了目标函数的一种积的形式的单调化变换公式,首先引入极大熵函数,将多个约束的非线性规划问题,转化为只含一个约束的非线性规划问题,再将转化后的只有一个约束的非线性规划问题转化为一个单调规划问题,最后证明了等价性.     

单调化与极大熵相结合解非单调规划问题

对约束函数单调而目标函数非单调的规划问题,给出了目标函数的一种新的单调化变换公式.先引入极大熵函数,将多个约束的非线性规划问题,转化为只含一个约束的规划问题.再将转化后的只有一个约束的规划问题转化为一个单调规划问题,并证明了其等价性.     

非凸全局最优化的一种凸化、凹化方法

给出了一种凸化、凹化变换,将一个严格单调函数转化为一个凸或凹的函数;给出了一种凸化和凹化变换,在约束函数都是单调递减时,将一个既不单调凸也不是单调凹的目标函数转化为一个凸和凹函数;最终,将原始问题转换成一个凹极小问题或反凸规划问题来求得其最优解.     

非单调规划的一种新的单调化方法

对约束函数单调而目标函数非单调的规划问题，给出了目标函数的1种新的单调化变换公式．先引入极大熵函数，将多个约束的非线性规划问题，转化为只含1个约束的规划问题，再将转化后的只有1个约束的规划问题转化为1个等价的单调规划问题．     

单调优化的一种新凸化和凹化方法

提出了一个新的凸化、凹化变换,并证明了单调非线性规划总能变换成相应的凹极小化问题或反凸规划或标准D.C规划问题,再利用已有的关于这些规划问题求全局最优解的方法,可以求得原问题的全局最优解.     

一类数学规划问题的新的凸化和凹化方法

给出了满足一定条件的数学规划问题的一个新的凸化、凹化方法,从而将这一类规划问题转化为等价的凹极小问题,再利用已有的算法求解该问题。     

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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