拉格朗日问题

This article first introduced the Lagrange multiplicator law and the development, have given the function of many variables condition extreme value essential condition, and solved the function of many variables condition minimum problem using it.

本文第一介绍了拉格朗日乘数法及其拓展，给出了多元函数条件极值的必要条件，并利用它求解了多元函数的条件极值问题。

As the inversion and compression attack includes the question relating to solving thepreimage from image of function, a subdivision algorithm for solving preimage of function withbounded derivative based on Lagrange mean value theorem is proposed firstly.

由于逆推压缩攻击方法涉及混沌映射的求逆，针对复杂混沌映射求逆困难的问题，运用拉格朗日中值定理，我们提出了求解导函数有界的函数原象的分割算法，给出了使分割算法计算复杂性上界达到最小的充分条件。

By introducing the analytic expressed unit commitment risk constraints into the unit commitment Lagrangian relaxation method, the probability reserve constrained unit commitment problem can be achieved and optimized indeed.

在此基础上，将投运风险度约束以解析表达的方式引入机组组合的拉格朗日松弛法中，有机一体的完成了概率备用约束的机组组合问题，实现真正意义上的优化。

The general algorithm steps based on subgradient optimization mathematics method are presented.

建立了这类问题的数学规划模型，并采用拉格朗日松弛算法对模型进行求解，给出了次梯度优化求解算法的一般步骤。

In order to improve performances of computer communication networks, the important route selection optimization in computer communication networks is firstly studied in detail by using the modern metaheuristic search method, i. e., Tabu search, which is of great flexibility and came into use just a few years ago. Better results are obtained and compared with the traditional Lagrangean relaxation and subgradient optimization method. Especially, the superiority of this method over other algorithms is further shown in the case of very heavily loaded network. Thus, the new thinking and method are provided for the optimization theory of computer networks.

摘 要：为了改进计算机通信网络的性能，首次采用近年来才开始应用、且具有很强灵活性的现代超启发式搜索方法——Tabu搜索方法，对计算机通信网络中重要的路由选择优化问题进行了详细的研究，得到了比经典的拉格朗日松弛及子梯度优化方法更优的结果，尤其在网络负荷很重的情况下，与其它算法相比，更显示出该方法的优越性，从而为计算机网络的优化理论提供了新的思路和方法。

The argument exploits the variational structure of the problem, and is bas...

该证明利用了问题本身具有的变分结构，是以在给定的道路类上的"拉格朗日作用的最小化原理"为根据的。

In the global equilibrating,a modified Lagrange multiplier method had bring forward. This method can solve inequality constrained optimizer problems. The method is easy to use and fast calculation.

在整体平衡中，提出了改进的拉格朗日乘数法，成功地解决了含不等式约束条件的优化问题，该方法具有计算简单，收敛速度快等特点。

In integration, explicit formulation has been used with the lumped mass matrix so that it facilitates the calculation of the displacement and ayoids the convergence problem caused by the nonlinearities in material, geom.

数学模型采用物质坐标系中的修正的拉格朗日描述，采取集中质量矩阵，用动力显式积分的方法，使位移计算显式化，避免了由材料、几何、边界条件等高度非线性因素引起的计算收敛问题。

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