查询词典 lagrange function

In order to solve the secondary problem the Lagrange function was adopted in this paper.

同时，在子问题的求解工程中，利用拉格朗日乘数法求解考虑APF容量限制时注入谐波电流的最优值。

Through this model, which could make full use of the given prior information as the constraints of maximum likelihood estimation and based on Lagrange function, the calculation problem of fault prior probabilities was transformed to non-constrained optimization problem.

该模型以相关的先验信息作为最大概率估计的约束条件，并通过拉格朗日函数，将故障先验概率估算问题转化成无约束优化问题。

For improving convergence, this paper firstly introduces Lagrange function to solve constraint problem in large-scale system optimization, secondly constructs the hierarchical optimization networks for large-scale industrial systems with Hopfield network.

为了 提高算法的收敛速度，引入Lagrange函数解决大系统优化问题中的各种约束，并用Hopfield 网络实现了大系统稳态递阶优化的网络算法，最后给出了某一大系统辨识及优化的仿真结果。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

Lagrange mean value theorem is to examine the function of the characteristics of a powerful tool.

拉格朗日中值定理是研究函数特性的一个有力工具。

The Lagrange theorem of mean studies a function characteristic powerful tool.

拉格朗日中值定理是研究函数特性的一个有力工具。

We establish a Lagrange multiplier theorem for strict efficiency in convex settings and express strict points as saddle points of an appropriate Lagrangian function.

讨论凸多目标最优化问题的严有效解，建立了拉格朗日乘子定理，并把严有效解表示为一个适当的拉格朗日函数的鞍

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

The author give ways to construct Liapunov function of a lagrange system with energy consumption: One gives qualitative analysis of the mechanical system, the other gives quantitative estimation as well as qualitative analysis of the asymptotic stability of the studied mechanical system.

论文工作如下：(1)提出了非保守力学系统的李亚普诺夫函数构造途径：定性分析的能量函数方法和可用于定量分析的系统分解方法，并给出了分别使用上述方法的充分性条件。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

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。