优化问题

This method uses the strong non-linear mapping ability which the RBF network has and its short-time training merit to construct the network, substitutes the non-analytic function, make it to instate of the optimized question of the objective function, and iterates this objective function with the genetic algorithm to search the optimal solution.

该方法利用RBF网络所具有的非线性映射能力强，训练时间短的优点，构建网络，替代非解析函数，使之作为优化问题的目标函数，并用遗传算法搜索迭代出该目标函数的最优解。

Plant growth simulation algorithm aiming at the global optimization of integer programming is a kind of bionics random algorithm which occurs in nature.

针对整数规划全局优化问题所首次提出的模拟植物生长算法，是一种源于大自然的仿生类随机算法。

Its process mathematical description is illustrated through a typical binary distillation column design. Then the framework and strategy of solving the optimal design and control, which involve the solution of mixed integer dynamic optimization, are presented.

以典型二元精馏塔设计为例阐述了其过程系统的数学描述，给出其最优工艺设计和控制设计的求解框架和求解策略，以及其中混合整数动态优化问题的求解方法。

Based on improved genetic algorithm and primal-dual interior point algorithm, a hybrid reactive power optimization algorithm is proposed.

基于改进遗传算法和原对偶内点法提出一种求解无功优化问题的混合算法。

Hansen in his book discussed the global optimization using interval analysis.

Hansen在他的书中基于区间分析讨论了全局优化问题。

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

Seismic inversion belongs to nonlinear optimum problem.

地震参数反演属于典型的非线性优化问题。

The potential criterion function for optimization is formed to deal with the integration property of pseudoinverse of Jacobian matrix.

首先对冗余自由度机器人的运动学和动力学优化问题进行了大量深入的研究。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性，刻画了谱标量函数满足K-增性的充分条件，继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

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。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。