最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
最佳阻尼控制是一种结构参数(阻值向量)的最优化控制，设计简单。
The optimal damping control is a kind of optimal control of structure parameter (damping vector) with the feature of simple design.
本文是采用向量、矩阵和最优化设计等机构学的分析方法来解决这一课题的。
The problem can be solved with the analytic methods of mechanisms of vector, matrix and optimum design.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
本文研究向量优化问题在严有效解意义下的最优性条件。
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.
执行最优化过程中的收敛，目标向量和活动约束集的监视，多变量绘图技术：雷达绘图、地毯绘图和浮雕绘图。
Convergence, Objective Vector and Active Constraint Set Monitoring during Optimization Execution, Multivariable Plotting Techniques: Radar Plots, Carpet Plots and Glyphs.
在此基础上，得到了向量目标函数既是似凸又是拟凸的多目标最优化问题的G-恰当有效解集是连通的结论。
On the conditions that vector objective function is like-convex and quasi-convex, we obtain the connectedness of G-proper efficient solution set of the multiobjective optimization problem.
共轭方向算法是非线性最优化理论中一类重要的算法，确定共轭向量是共轭方向算法的关键。
Conjugate direction algorithm is an important algorithm in the theory of optimization. Determining conjugate vectors is a key in conjugate direction algorithm.
利用此定理，得到了带广义不等式约束的向量优化问题的最优性必要条件和充分条件。
In this paper, we mainly consider the existence of the generalized weakly efficient solution for Vector Optimization Problem.
最佳阻尼控制是一种结构参数（阻值向量）的最优化控制，设计简单。
The authors constructed a mathematical model of the optimal control for a bank belt system.
该文利用集值映射的三种切上导数概念，给出了向量集值优化问题中严有效点的最优性条件。
In this paper, a few optimality conditions for strictly efficient points of set valued optimization are presented by using the concept of contingent derivatives of set valued mad.
并从支持向量机的几何原理出发提出了一种基于序列最小最优化算法的改进算法，验证结果证明了该改进算法的正确性。
From the geometrical theory of SVM, this thesis advanced a new method that bases on SMO. The experiment proved this method to be correct.
为了建立HIV 蛋白酶抑制剂Q SAR的优良模型，本文采用粒子群优化法搜索支持向量机的多参数复杂模型空间，以此形成最优支持向量机。
The optimal support vector machine was proposed in this paper by applying particle swarm optimization searching the complex multi-variable space in SVM model, in order to modeling the better QSAR.
为了建立HIV 蛋白酶抑制剂Q SAR的优良模型，本文采用粒子群优化法搜索支持向量机的多参数复杂模型空间，以此形成最优支持向量机。
The optimal support vector machine was proposed in this paper by applying particle swarm optimization searching the complex multi-variable space in SVM model, in order to modeling the better QSAR.
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