查询词典 Lagrange problem

Based on decomposition-coordination model of an electric power system,the general augmented Lagrange method and auxiliary problem principle are adopted to form iterative distributed transfer capability computation framework,in which the influence on the internal system exposed by external system is considered through exchanging the information of boun.

该方法通过分解-协调模型实现互联电网的解耦，采用增广拉格朗日法和辅助问题原理实现输电能力按地理分区，形成一个迭代形式的分布式输电能力计算框架，迭代中通过交换边界节点信息将互联外网信息反映到各分区的计算中，各地的子网络计算相对独立。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

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。

We used column generation to solve the Network Coding based traffic programming problem. First, we relaxed the constraints of the problem by using Lagrange Relaxation, then defined the physical meaning of each relaxation variable.

运用column generation算法对网络编码业务进行规划，为松弛系数赋予具体的物理含义，并据此进行路径更新，有针对性地为每个业务寻找路由。

While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of Lagrange submanifold in the symplectic space.

本论文的工作作为国家自然科学基金地震波传播与成像项目（NO.40174032）的一部分，得到如下结果：论文分析了利用Maslov方法求解非均匀介质中波动方程高频近似解的基本原理和求解过程，构造了介质系数只在一个方向变化时波动方程高频近似解的通用计算公式。

First,this problem is converted into the problem of H_2 opmization constrainedby H_∞performance and pole location,then an auxiliary perfomance function is introduced,andthe former problem can be converted into the optimal problem of minimization of the auxiliaryperformance function with constraints described by a matrix equation,at Jast this problem issolved by lagrange multipliers,and the static output feedback controllers are designed.

首先将文题转化为一个具有H＿∞性能和系统闭环极点位置约束的系统H＿2性能优化问题。进而通过引入一个辅助性能函数，将其转化成有一个矩阵方程约束的辅助性能函数的最小化优化问题，并给出这个问题静态输出反馈控制器的解。

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。

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 Lagrange relaxation method is used to solve this problem. 5. Deal with bandwidth-constrained multicast routing problem.

利用拉格朗日松弛法给出了带度约束和时延约束的多播路由算法，算法效果良好。

To solve the problem, the error estimates for multivariate Lagrangian interpolates are given. From this, the upper bound of the rule number for a good multi-input fuzzy controller can be found out. The errors for a fuzzy controller to approximately precise control can be obtained after determining fuzzy rule base.

为讨论此问题，给出了多元Lagrange插值公式的误差估计式，并据此推导出一个好的多输入模糊控制器所需规则个数的上界，当模糊规则库确定之后，可求得用模糊控制器逼近精确控制时的误差。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新