互补约束数学规划问题的对偶性

[目的]研究互补约束数学规划问题的Mond-Weir型对偶.[方法]把非线性规划问题的Mond-Weir型对偶推广到互补约束数学规划问题.[结果]在一些弱凸性条件下证明了弱对偶定理、强对偶定理和严格逆对偶定理.[结论]举例说明本文给出的互补约束数学规划问题Mond-Weir型对偶是合理的.     

MPVCC问题的M稳定性的序列最优性条件研究

带有垂直互补约束的数学规划(MPVCC)问题是一类重要的优化问题,这类问题在很多领域都有着广泛的应用.在过去的几年中,人们非常关注非线性规划的序列最优性条件,因为它与算法的停止准则密切相关,在收敛性分析中也发挥着重要的作用.给出了MPVCC问题关于M稳定性的序列最优性条件,即AM稳定性.此外,还给出了与之相关的保证M稳...     

带有平衡约束数学规划的等价方程

本文运用罚函数法把非线性约束的带有平衡约束的数学规划,转换成不同的线性约束的带有平衡约束的数学规划,并考察了它们之间的等价性。     

非光滑约束优化的广义增广拉格朗日方法及其在半无限规划中的应用

为寻找非光滑约束优化问题的稳定点,基于已有的研究成果,提出了一种广义增广拉格朗日方法.即当罚参数有界时,证明了由算法产生的迭代序列的任何聚点都是原问题的稳定点.然后,在适当条件下将该方法应用到了半无限规划问题,并且给出了相关数值实验,证明了该算法对于求解非光滑约束优化问题是有效的.因此,非光滑约束优化的广义增广拉格郎日方法是一种非常有效的方法,在解决半无限规划问题中有十分广泛的应用.     

度、直径约束最小生成树问题及其算法

提出了度、直径约束最小生成树问题,证明了该问题是NP-完全的.建立了该问题的数学规划模型.给出了启发式求解算法,其时间复杂性为O(mn).分析和实例实验表明,该算法有良好的效果.     

度、半径约束最小生成树问题及其算法

提出了度、半径约束最小生成树问题,证明了该问题是NP-完全的.建立了该问题的数学规划模型.进一步给出了快速启发式求解算法,并分析了该算法的时间复杂性.分析和实例实验表明该算法具有良好的效果.     

球约束二次规划问题的一个计算方法

研究球约束二次规划问题 .将一般的球约束二次规划问题转化为球约束凸二次规划问题 ,并给出了该问题的KT点和全局最优解的计算方法     

具有广义凸的多目标规划

在较弱凸性条件下,研究了多目标规划问题的解,无约束多目标规划在目标函数是一致凸条件下,其向量稳定点是弱有效解。约束多目标规划在目标函数和约束函数是一致凸条件下,其Kuhn-Tucker点是弱有效解。在应用上,向量稳定点和Kuhn-Tucker点分别为寻找无约束规划和约束规划的弱有效解提供了重要理论依据。     

一类互补约束优化问题的一个扰动方法的收敛性

互补约束优化问题是一类重要的最优化问题,在科学和工程中有着重要的应用.交通规划的道路扩容问题,经济学领域的DICE模型都是互补约束优化问题.这类问题因为约束集合不满足通常的约束规范而不能用传统的非线性规划方法处理,往往用光滑近似的方法来克服这一困难.考虑一类互补约束优化问题的基于光滑化Fischer-Burmeister函数的扰动方法.证明了当光滑化参数μ↘0时扰动问题的值收敛到原问题的最优值,扰动问题的最优解集合的外极限包含在问题最优解集合中.说明扰动问题很容易满足通常的约束规范,并给出扰动问题的一阶必要性最优条件和二阶充分性最优条件.     

局部FC-一致空间内的广义拟变分包含组及其应用(II)

应用作者在局部FC-一致空间得到的广义拟变分包含组解的存在性定理,在局部FC-一致空间内,对广义矢量拟平衡问题组、联立广义拟平衡问题组、具有广义拟变分包含组约束的数学规划和具有广义拟平衡组约束的数学规划的解得到了某些新的存在性定理.这些结果在较弱的假设下将文献中很多已知结果从局部凸拓朴矢量空间的闭凸子集改进和推广到没有凸性结构的局部FC-一致空间.     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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