拉格朗日函数

Data assimilation ; adjoint method ; cost function ; Lagrange function

资料同化；伴随方法；目标函数；拉格朗日函数

In this paper, Lagrange function and a Hami quantity are used to develop the equation of motion for a non-inertial system in the presence of central force field.

采用拉格朗日函数与哈密顿量来讨论非惯性系统在有心力场存在时的运动方程。研究结果表明，这一方法远比通常方法简单、方便

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。

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。

Based on maximum principles, Lagrangian function is adopted to obtain the weights of the indexes.

依据极值原理，利用拉格朗日函数得到各个指标的权重值。

It is well-known that reduced Hessian method is one of the most efficient methods for solving large scale constrained optimization problems. However, the convergence analysis for the method requires of the positive definiteness of the reduced Hessian of Lagrangian function.

众所周知，既约Hessian方法是求解较大规模约束优化问题的一类有效方法，但已有的这类方法的全局收敛性分析需假定拉格朗日函数的既约Hessian矩阵的一致正定性。

The wavelet analytic method can find out global and local singularity and singular points of function by local maximum of wavelet transform of Lagrangian function which is made up of two constraint functions without regard for contents of optimization and constraint situation.

不管优化内容及约束情况如何，由对约束函数两两构成的拉格朗日函数的小波变换求局部极大值，将奇异点求解出来。本文对n维空间的小波变换寻优方法给予了理论上的研究与证明，并给出了具体的求解方法。

The standard deviation calculation principle; Optimal Reinsurance; Total risk; Upper bound of risk; Change loss; Lagrangian function

标准差计算原理；最优再保险；总风险；风险上界；变换损失；拉格朗日函数

By using the optimal power flow,the relation between the electricity purchasing cost change and the line stability limit which is the product of the stability limit factor and the basic stability limit of the line,is described by the derivative of the augmented lagrangian function with respect to the line stability limit factor.

以最优潮流为工具，将线路的稳定限额看作是基准传输容量限值与稳定限额因子的乘积，通过增广拉格朗日函数对线路稳定限额因子的导数描述了系统购电成本的变化与线路稳定限额因子和线路基准稳定限额乘积的关系。

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