查询词典 duality map

After that, we discuss the weak duality theorem and the strong duality theorem concerning Benson efficient solutions.

接着讨论了Benson真有效解的强弱对偶性定理。

Chapter 4,based on strong efficiency rather than efficiency or weak effi-ciency,discusses the similar problem to chapter 3.The concepts of strongsupremum and strong infimum for the set in finite-dimensionalEuclidean space are given,s-conjugate functions and s-subdifferentials theory is developed,by means of which,the duality problem ofmulitobjectivre programming for strong efficient solutions or called absoluteoptimal solutions is analysed,and a new duality theory-s-conjugateduality theory is proposed.

第四章，基于强有效性而不是有效性和弱有效性，给出了类似于第三章的结果，提出了有限维欧氏空间中集合的强上、下确界等概念，研究了点集映象的强共轭函数和强次微分问题，建立了点集映象的s-共轭函数及其s-次微分理论，并借助于这一理论，讨论了多目标规划关于绝对最优解或称强有效解的对偶性问题，建立了基于强有效性的s-共轭对偶理论。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

This paper studies the duality in the structure of his thought, his literary character, and his mutually interacting traditional and anti-traditional mentalities by analyzing the duality of the society of the Meiji Age and the Taisho Age.

文章从明治、大正时代社会的二重性出发，分析了作为时代代表作家的森鸥外在思想结构、文学性格上的二重性，其传统与反传统的互制心理。

Based on the third kind of wave-particle duality and the harmonious unifying of three kinds of wave-particle duality[6], we discussed the materiality of the electromagnetic element-wave.

基于"第三种波粒二象性"以及"三种波粒二象性的和谐统一"[6]，我们对"电磁基波"的物质性又作了进一步讨论。

With the similarity between electromagnetical fields and structural mechanics, the electronic E and magnetic H are considered as two duality variables. With the variational principle, the system is introduced into symplectic geometry of Hamiltonian duality equations.

根据电磁场问题与结构力学的类比关系，把电场量E和磁场量H作为二类变量，通过变分原理寻求一般条件下的解法，将体系导入Hamilton对偶方程的辛几何形式，给出了电磁波导的Hamilton辛体系，并给出了辛本征值问题的表达形式。

The duality feature of the acceptation individual in the ancient Chinese comes form the duality of glosseme.

存在于词义个体的静态和动态的不同运动状态中，存在于词义语言义和言语义的语义转化中。

Our results show that the duality of self-dual tetrahedral link is "trivial", and the duality of hexahedral and octahedral link as well as dodecahedral and icosahedral link are "nontrivial".

从构型角度考虑，四面体链环的自对偶是&平凡&的，六面体链环和八面体链环，十二面体和二十面体链环的对偶是&非平凡&的。

For a two-dimensional type map, both abscissa and ordinate of the map are two unknown parameters of the linkage. A map is then composed of several regions that represent different types.

於二维类型图中，以连杆组中两个尚待决定的尺寸为图面座标轴，再於图面上区分出代表各种类型的区域。

Based on these theories, it develops a GIS map projection software using Visual C++ as a platform. The software consists of two parts: analytical ordinal transformation and analytical athwart transformation. Analytical athwart transformation implements map projective transformation with coefficients obtained through numerical method, which is also the main idea of this paper. Map projective transformation process is illustrated with the examples of Mercator projection and conic projection.

地图投影建立了平面上的点(用平面直角坐标或者极坐标表示)和地球表面上的点之间的函数关系，而地理信息系统以平面直角坐标形式通过计算机图形学的方法表示2维或3维地理空间信息，因此，地图投影起到了地球空间与地理信息系统之间的坐标转换的桥梁作用[1]。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。