查询词典 duality principle

In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.

介绍了几种近似最优解和增广拉格朗日函数，建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题，讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系，得到的结果推广了一些已有的结论。

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。

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。

Through the autocriticism of our legislation and the lucubrating of the advanced legislation of the developed country, this article rise the precautionary principle, control principle, intervention principle, in principle, and responsibility principle as the basic principles of our biosafety legislation. Then improve our biosafety legislation system under the guidance of these principles.

首先，应当制定一部《生物安全法》作为框架性的生物安全管理法律；其次，制定各领域的生物安全专项管理法律，或对原有的有关法律进行补充；再次，提出制定转基因生物环境影响和安全评价、生物技术成果越境转移管理、转基因生物标签管理等方面的法律、法规，应对目前生物安全的主要问题，并对生物技术损害法律责任的承担和纠纷处理程序立法提出建议；最后，指出其他部门立法中有关生物安全方面应当进行的修改，包括知识产权法中的基因专利方面，民法中有关基因隐私权方面，刑法中的基因犯罪方面，等等。

On the basis of formal chapters' analysis, learning from foreign countries' successful experience in circular economy's legislation, considering our own legislation practice in developing circular economy, the main framework of our country's circular economy's legal institutions' construction is put forward as follows, the guidance thought of the circular economy's legal institutions' construction is the concept of scientific development and the thought of sustainable development; the 3R principle, the principle of following the ecological rules, the principle of giving priority to precautions, the principle of the contaminator paying are the basic principles of the circular economy's legal institutions' construction; the field of the natural resources' exploitation and utilization, the field of manufacturing industry and service trades, the field of disposing waste and changing waste into resources, the field of the exploiting and utilizing energy, and the field of social consumption are the key fields of the circular economy's legal institution's construction; the circular economy's legal system is constructed from four levels, the basic laws, the principle laws, the comprehensive laws and the special laws; The following circular economy's legal institutions are made, the institution of circular economy's planning, the institution of green economy's accounting, the institution of scientific and technological information's titles, the institution of economic encouragement, the institution of market allowance, the institution of listing the names' who set good example in developing circular economy, the institution of forcing those enterprises with heavy pollution into developing circular economy, the institution of green consumption, the institution of the public's participation, the institution of sharing the responsibility, and the institution of evaluating the circular economy's results.

该部分以前面几章分析的循环经济立法理念为基础，借鉴国外循环经济立法的成功经验，结合我国的循环经济立法实际，提出了我国循环经济法制建设的基本框架是：以科学发展观和可持续发展思想为循环经济法制建设的指导思想；以"3R"原则、遵循生态规律原则、预防优先原则和污染者付费原则为循环经济法制建设的基本原则；以自然资源开发利用领域、加工制造产业与服务产业领域、废弃物处理与资源化领域、能源开发利用领域和社会消费领域为循环经济法制建设的重点领域；从根本法层面、基本法层面、综合法层面和专门法层面来构建循环经济法律体系；构建包括循环经济规划制度、绿色经济核算制度、科技信息支持制度、经济激励制度、市场准入制度、循环名录与循环示范制度、重点污染企业强制实施循环经济制度、绿色消费制度、公众参与制度、责任分担制度和循环经济绩效评价制度在内的循环经济法律制度。

The principle of area dominant industry is: Element replaces area of demand of market of; of principle of comparative advantage of stretch principle; to increase principle of principle; associated effect.

区域主导产业的原则为：要素替代弹性原则；比较利益原则；市场需求区域增加原则；关联效应原则。

Principles of delimitation of the continental shelf,such as principle of natural prolongation,equidistance principle,proportionality principle,and negociation principle,can be applied only based on equitable principle.

自然延伸、等距离、成比例、协商等划界的原则与方法，只有在符合公平原则的基础上才能加以适用。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。