约束变量

To solve the nonlinear 0-1 programming problem, it is transformed into an equivalent continuous nonlinear programming on the domain of [0, 1] by a nonlinear equality discrete constraint.

为了求解非线性0-1离散规划问题，通过非线性等式的"离散性约束"将其转化为[0， 1]区间上等价的连续变量非线性规划。

Implying a multivariate equality constraint in switching function, a genetic algorithm based improved mathematical model for fault location of distribution network is built.

将一个多变量等式约束条件隐含于开关函数中，基于遗传算法建立了改进的配电网故障定位数学模型。

A multivariable equality constraint condition is hidden in switching functions through different equivalent transformations.

通过将一个由设备状态信息确定的多变量等式约束条件，经不同的等价变换，隐含于开关函数中，建立一个新的故障诊断数学模型。

Based on this concept, the method of dynamic multi-dimension order control in Taylor series expansion technique for transient stability analysis is presented.

在计算暂态稳定轨迹的过程中，根据各个状态变量的不同动态特性和计算精度约束，对时间常数不同的环节采用不同的阶数。

The mathematical programming formulation and related solution procedure are established by the traditional BEM. Through the discretization of space and time, the elastoplastic stress simulation method and reduce-basis technique are adopted to construct the self-equilibrium stress field. The numbers of variables and constraint equations in the resulting mathematical programming formulation are reduced greatly and then the dimension obstacle of computation in 3-D limit and shakedown analysis is overcome.

采用常规边界元方法建立了三维结构极限与安定分析的数学规划格式，通过对时间和空间的离散化，并采用弹塑性模拟法构造自平衡应力场和引入减缩基技术，大大减少了所形成的数学规划格式中的未知变量和约束方程的数目，有效地克服了三维结构极限与安定分析中的维数障碍问题。

Jacobian, Hessian Matrix Properties, Sensitivity Analysis w.r.t Design Variables, Fixed Parameters and Constraints, Normalization, Finite Difference Approximation, Automatic Differentiation, ANOVA, Adjoint Methods, Examples

Jacobian， Hessian矩阵属性，灵敏度分析w.r.t设计变量，固定参数和约束，归一化，有限差分逼近算法，自动差分算法，ANOVA，伴随矩阵法，举例

Robust design objective is always structural response′s first derivative, constraint functions are nonlinear functi...

鲁棒设计目标函数为结构响应的一阶导数，约束函数也是非线性隐函数，因此是多变量的非线性优化问题。

With regard to the practical problems of estimating product quality on-line in hydrocracking fractionator, the soft-sensing engineering implementation strategy, which combines several soft sensors by weights for product quality estimating, is proposed to improve robustness of on-line estimation.

运用此控制策略对Shell公司重油常压塔和Wood-Berry精馏塔进行了仿真研究，通过与直接针对实际对象的基于RNNARX模型的多变量约束预测控制策略的仿真结果相比较，显示了PLS-MPC控制策略的有效性。

Line search which is the optimization of single variable function is one of the methods for solving the problem of unconstrained nonlinear programming.

一维搜索又称线搜索，就是指单变量函数的最优化，是求解无约束非线性规划问题的基本方法之一。

Then, taking the coordinates of every gemel as the optimization variables, the optimization analyses with the improved constrain terms, aiming to the load on the leaf spring and the structure of mechanism, is applied on the four-bar linkage mould oscillation mechanism and the single-leaf spring oscillation mechanism.

本文介绍了连铸结晶器的振动装置的发展，并以各铰链点位置坐标为优化变量，针对板簧受力和整体结构，给出相应的约束条件，对四连杆振动装置和半板簧振动装置进行了优化分析。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

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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。