约束

The path is defined as linear combination of a sequence of conjugate directions whichare obtained by applying standard conjugate direction method to approximate quadratic functionof unconstrained optimization.

Bulteau和Vial在[7]中构造了无约束最优化问题的共轭梯度路径，其基本思想是将标准共轭方向法应用于无约束优化目标函数f的局部二次近似函数，得到一组共轭方向序列。

The content of our curriculum are:Optimization under unconstrained conditions and constrained conditions,we'll focus on common methods of this field like Conjugate gradient method,DFP,POWELL method,The multiplier method,Penalty Function Method and so on.

主要讲授内容为无约束条件及有约束条件下的优化设计，重点介绍了共轭梯度法，变尺度法，POWELL法，乘子法，惩罚函数法等电路优化的常用方法。

Parametric evaluation function can condense the complicated multi-objective and multi-constrait problem into a single-objective unconstrained problem, then solved with conjugate gradient method.The parametric evaluation function method decreases the optimization difficulty,and makes the solution away from the boundary of feasible region during the optimization process,which makes all the objectives optimized simultaneously.

参数评价函数把复杂的多目标多约束优化问题转化为单目标无约束问题，然后用共轭梯度法进行求解，不但降低了求解难度，而且使得在优化过程中其解远离可行域的边界，保证了对多目标中所有目标同时进行优化。

Because assembly constraint solving is required frequently in assembly design, to improve solving efficiency and stability considerately are of great importance to real time requirement in engineering.

由于装配设计中，设计变量、零件模型的修改之后都需要重新求解装配约束以便得到新的实体装配模型，因此提高装配约束的求解效率和求解稳定性对于满足工程设计中的实时性要求具有重要意义。

The consigner designs a contract in order to maximize their benefits under the conditions of restriction and compatible restriction of encouragement. This contract is the result of game and Nash equilibrium.

委托人在参与约束和激励相容约束条件下设计一个契约实现自己利益的最大化，而这个契约是双方协商的结果，是一个纳什均衡。

Under a continuous fault model of the actuator,the consistency conditions of two indices fault-tolerant performance are set up by linear matrix inequality approach,and the ranges of constraint indices are analyzed.

在连续型执行器故障的模式下，利用线性矩阵不等式技术，给出了2个指标约束下容错性能的相容性判别条件，分析了与区域极点指标相容的H∞指标的取值范围，并在相容指标约束下给出了满意容错控制器的设计方法。

Given the constrained maximization,economic theory derives different implications for income distribution and resource allocation from different systems of property rights.

考虑约束条件下的最大化假设，经济理论由不同的产权约束系统推导出收入分配和资源配置的不同理论意蕴。

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。

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。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。