查询词典 minimization

The Hestenes-Powell augmented Lagrangian function has been used for solving inequality constrained optimization problems via unconstrained minimization techniques.

增广拉格朗日函数法是用无约束极小化技术求解约束优化问题的一类重要方法。

In this paper, the Hestenes-Powell augmented Lagrangian function is again considered, for solving equality constrained problems via unconstrained minimization techniques.

本文对用无约束极小化方法求解等式约束非线性规划问题的Hestenes-Powell增广拉格朗日函数作了进一步研究。

Secondly, a finite element method is used to approximate the constrained minimization problem, both existence of minimizer for cost functional in finite demensional space and the convergence of minimizer are proven.

然后利用有限元方法对上述定解问题进行离散，并证明了有限维空间上泛函的极小元存在以及有限维空间上的极小元收敛到无限维空间上的极小元。

Based upon all above-mentioned, a mathematical representation for multi-material structures is proposed by means of vector level sets, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

同时，还提出了在有效约束切空间上构造的非线性映射技术，以改进向量水平集的演化方向，可提高计算效率2到3倍。

The layer assignment, also called constrained via minimization, is to determine which layers can be used for routing the wire segments such that the number of vias can be minimized.

布局层指定是决定布局中各线段的布局层位置使得布局所产生的穿孔数能尽量少。

As for 3-layer constrained via minimization problem (3CVM), a heuristic approach on the basis of segment-crossing graph model is presented. Two types of algorithm, global sense and local sense are combined into our algorithm.

对三层布线的通孔最少化问题（3CVM），提出了一个启发式算法，以线段—相交图为模型，分总体优化和局部优化两步对三层详细布线进行通孔优化处理。

Thirdly, by applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

为了有效处理违反约束，这里还提出了在违反约束水平集的负法凸锥内构造水平集的法向修正速度的返回映射算法，它可以方便地处理多材料、多约束和含有非设计域的结构设计问题，使初值给定容易。

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

By establishing MINLP model, the computation of phase equilibrium is transformed into a constrained two-level minimization problem. On the inner level, equilibrium composition is computed; On the outer level, the optimum phase combination configuration is searched for. The whole solving process is achieved by Genetic Algorithm.

通过建立MINLP模型，将相平衡计算问题转化为有约束的双层最优化问题，内层用来计算给定相组合结构下的平衡组成，外层则是搜索最优的相组合结构，整个求解过程通过遗传算法来实现。

Our approach consists of the following steps: providing a sketch based mapping between the sources and the target; deforming the target based on the deformations of the corresponding sources by means of differential mean value coordinates; smoothing the deformed target with constrained minimization method to form a key frame of the target animation; and interpolating between key frames created from to produce a complete 3D animation of the target.

该框架由以下几个步骤组成：使用草图在源网格和目标网格间建立映射；使用非闭合网格均值坐标，根据源动画的运动风格来变形目标网格；对变形后的目标网格求解最小化约束函数以获取光滑的目标网格，从而生成目标动画的关键帧；对由产生的结果进行插值，产生完整的目标对象的三维动画。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。