查询词典 optimality

We develop his ideas by finding some algebraic invariants under the adjoint actions of the group in addition to the Killing form and give a rigorous proof of the optimality of the one-parameter systems for the symmetry group of the given equations.

本文系统地研究了1+2维非线性发展方程的对称代数，证明了该方程容许一个七维李点对称群，利用Olver提出的方法，详细地建构了1+2维非线性发展方程的一维最优系统，在此基础上我们发展了他的方法，发现了除Killing型之外的其它六个在群伴随作用下的代数不变量，利用这些不变量证明了该最优系统的最优性。

The formal solution of partial differential equations is given on characteristic line, the existence of the optimal control is proven by using Ekeland\'s variational principle, Gronwall Lemma and adjoint system, then the necessary condition of optimality is obtained by means of the conception of normal cone.

用特征线法表示出偏微分方程的形式解，利用Ekeland变分原理，Gronwall引理和共轭系统证明了最优控制的存在性，并借助于法锥概念得到了最优控制的必要性条件。

The contribution of the entire profile is evaluated and, since this process is essentially iterative, there is no claim regarding the optimality of the resulting discriminant function.

全部的轮廓的捐献是评价和，自从这过程是本质上重复的，那儿有没有要求关于optimality作为结果的判别式功能的。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

For the dual objective we propose a multipleobjective optimality criterion ---Φ_β-optimality criterion.

针对上述考量，我们提出一个多重目的最适性准则(multiple-objective optimality criterion)，称为Φ_β-最适性准则，利用正规动差技巧，我们求出在此Φ_β-最适性准则下之最适设计的解析解。

For this dual-objective consideration, we propose a multiple-objective optimality criterion－Ψα-optimality criterion, and the correspondingΨα-optimal design is derived in terms of canonical moments.

针对上述考量，我们提出一个多重目的最适性准则(multiple-objective optimality criterion)，称为Ψα-最适性准则，并利用正规动差技巧求得在Ψα-最适性准则下之最适设计的解析解。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

The contents include the layout optimization models of the difform graph elements, the optimality conditions , the optimality functions, the optimization algorithms for the subproblems, the algorithms for the non-overlap constraints and the unproved genetic algorithm.

主要包括不同图元的布局优化模型、子问题的最优性条件、最优性函数和优化算法、判断不干涉性算法及改进的遗传算法。

The thesis advances a new optimality design method which can consider stress and proper frequency restriction condition synthetically, through basing on stress optimality criteria methods, owing to optimality criteria don't relate to multi-constraint and apply incomprehensively.

本文针对优化准则法不能考虑多种优化约束条件、通用性差的缺点，基于应力优化准则法和固有频率优化准则法，提出了一种可以综合考虑设计模型的应力约束条件和固有频率约束条件的优化设计方法。

An evaluation of system efficiency of the enterprises' logistics system based on dea abstract: the research of the logistics is a crisscross and comprehensive analysis of multilateral subjects,which is of strong attribution of systemility、quantitality and optimality,especially in the rational analysis and evaluation of comparative efficiency of the logistics system.operations research is just a subject which focuses on the attribution of systemility、quantitality and optimality.thus ,here,or takes a very important position.its mentionable that the application of or including its models and methods is often different with those classical models BEC ause of certain especial attribution of the logistics system,as should be noteworthy here.in this paper,a new field of or ―― date envelopment analysis is recommended.dea is usually used to evaluate the comparative efficiency of units in some parallel departments or denominations.in this paper it analyzes the characteristics of the enterprises' logistics and identifies the factor scheme used for the evaluation of its efficiency.

物流研究属于多学科的交叉与综合分析，具有强烈的系统性特征、数量化特征及最优性特征。它们在物流合理化分析和系统相对有效性评价中更为突出。运筹学恰是以系统性、数量化及最优化为核心，因此，在物流合理化研究和系统相对有效性评价中占有重要地位。由于物流系统具有某些特有的属性，故运筹学在其中的运用，包括模型与方法，往往与经典的模式有所不同。本文引入运筹学的一个新领域――数据包络分析（data envelopment analysis ，简称dea）模型，一种用于评价相同类型部门中各成员间的相对有效性的模型，来评价企业物流系统的相对有效性。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。