极C-invex条件下多目标非线性规划问题的对称对偶性

提出了一个多目标非线性规划的对称对偶性问题,并利用弱有效性和真有效性的概念,证明了在极C-invex条件下与规划问题相关的弱对偶定理、强对偶定理、逆对偶定理和自对偶定理.     

与特殊性质&对偶的空间及相关结论

X是拓扑空间,令&={A:A是X的具有性质&的子集},如果对于X的任意邻域指派φ,都存在A∈&,使得X=U{φ(χ):χ∈A},则称X是与性质&对偶的空间.对于给定的特殊性质&,主要讨论了与性质&对偶的空间的一些基本性质,并给出了X是与性质&对偶空间的充分必要条件.这些结论可应用于多种空间类,作为其中的一推论,得到每个正则弱(8)-加细(离散对偶)-散布空间是离散对偶空间.另外,还讨论了aD-空间的相关结论.

Abstract：

Let X be a space,and &={A:A is a subset of X,and has property &}.A space X is dual the property & if for any neighborhood assignment φ for X,there is a subset A(X,A∈& such that X=U{φ (χ):χ∈ A}.In this note,we mainly discuss properties of spaces which are dually special &,and also give a necessary and sufficient condition for spaces which are dually special & These conclusions can be heId for many spaces.As a corollary,we have that if X is a regular weak (8)-refinable(dually discrete)-scattered space,then X is dually discrete.We also get some conclusions conserning aD-spaces.     

德国“双元制”职业教育对我国女性职教改革的启示——以广东女子职业技术学院为例

德国"双元制"职业教育以其行动导向的实践与理论,企业与学校紧密结合的学习,即学习与工作结合,在工作中学习的职业教育模式,突显其价值与效益,在国际职业教育比较中颇具强势。文章从高职教育的发展趋势,对"双元制"职业教育的特点和结构改革进行分析和探讨,提出了发展我国职教尤其是女性职业教育改革的几点建议。     

Evolutionary variational inequality with long-term memory and applications to economic networks

The aim of this paper is to present the relation between an evolutionary variational inequality with long-term memory and Lagrange multipliers. More precisely, we study the oligopolistic market equilibrium problem in which the profit function depends also on previous events of the market by means of a long-term memory which takes into account the previous states of the equilibrium. Moreover, thanks to the variational formulation, we are able to show existence and regularity results for equilibrium solutions. Then, we apply the infinite dimensional duality theory through which we obtain the existence of Lagrange multipliers which are great utility in order to understand the behaviour of the market. Finally, an example is provided, which allows to analyse the influence of the long-term memory on the equilibrium solution.     

A monotone nonlinear finite volume method for approximating diffusion operators on general meshes

The basic principles of the discrete duality and nonlinear monotone finite volume methods are combined in order to obtain a new monotone nonlinear finite volume method for the approximation of diffusion operators on general meshes. Numerical results highlight both the second‐order accuracy of this method on general meshes and its capability to deal with challenging anisotropic diffusion problems on various computational domains. Copyright © 2016 John Wiley & Sons, Ltd.     

单小区功率约束下的多小区协同波束成形

针对单小区功率约束,本文考虑多天线多小区下行链路波束成形优化问题。在无法获得瞬时信道信息的条件下,本文基于信道二阶统计量,建立了单小区功率约束下的多小区上下行链路对偶性,并基于该对偶性,为单小区功率约束下行波束成形问题提出有效数值算法。     

Catadioptric Projective Geometry

Catadioptric sensors are devices which utilize mirrors and lenses to form a projection onto the image plane of a camera. Central catadioptric sensors are the class of these devices having a single effective viewpoint. In this paper, we propose a unifying model for the projective geometry induced by these devices and we study its properties as well as its practical implications. We show that a central catadioptric projection is equivalent to a two-step mapping via the sphere. The second step is equivalent to a stereographic projection in the case of parabolic mirrors. Conventional lens-based perspective cameras are also central catadioptric devices with a virtual planar mirror and are, thus, covered by the unifying model. We prove that for each catadioptric projection there exists a dual catadioptric projection based on the duality between points and line images (conics). It turns out that planar and parabolic mirrors build a dual catadioptric projection pair. As a practical example we describe a procedure to estimate focal length and image center from a single view of lines in arbitrary position for a parabolic catadioptric system.     

Spectral Duality for Finitely Generated Nilpotent Minimum Algebras, with Applications

We establish a categorical duality for the finitely generatedLindenbaum-Tarski algebras of propositional nilpotent minimumlogic. The latter's conjunction is semantically interpretedby a left-continuous (but not continuous) triangular norm; implicationis obtained through residuation. Our duality allows one to transferto nilpotent minimum logic several known results about inutitionisticlogic with the prelinearity axiom (also called Gödel-Dummettlogic), mutatis mutandis. We give several such applications.