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.
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.
支持向量机利用接近边界的少数向量来构造一个最优分类面。
Support vector machine constructs an optimal hyperplane utilizing a small set of vectors near boundary.
在比较条件非线性最优扰动和线性奇异向量模态的基础上进一步探讨了它们随时间的演变。
On the basis of the comparison of conditional nonlinear optimal perturbation and linear singular vector, the evolutions of them with time are investigated.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
利用概率分析和向量马尔科夫过程方法，求得了系统的可靠性指标并研究了最优诊断策略。
By using probability analysis and the method of vector Markov process, reliability indexes are obtained, the optimal diagnostic policies are studied.
通过极大化该边界获得最优投影向量，同时避免因类内离散度矩阵奇异导致的小样本问题。
Through maximalizing the margin, we can obtain the optimal projection vector, and avoid the small sample size problem due to singularity of the within-class scatter.
算法定义了两种新的火焰特征向量：火检上下文动态特征切入列，火焰特征最优区域。
Two new flame feature vectors are defined: one is the flame detection context based dynamic feature row and the other is the optimal flame feature area vector.
通过运用斜割支线和几何方法，给出状态向量的卡尔曼滤波与最优预测。
The desired filter can be constructed by using the cross-cut and geometry method. The optimum prediction of the state vector is also given.
同样，基于粗糙集理论对特征集进行约简，在最优决策属性的基础上使用最小二乘支持向量机分类器对流型进行识别。
Similarly, based on rough set theory to feature-set reduction, in the optimal decision based on the use of the property least squares support vector machine classifier to identify the flow pattern.
因此，没有一个多项式(计算的复杂性)算法可以保证最优运动向量。
Therefore, there is no algorithm with polynomial computational complexity that guarantees optimal motion vectors.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
这里采用鲁棒性好的最优奇偶向量方法检测周跳并进行修复。
An optimal parity vector test method with good robustness is used to detect cycle slips, and then it can be restored.
通过在个体类内保局差异散度矩阵的零空间中求最优特征向量，避免了矩阵的奇异性问题，解决了小样本问题。
The optimal feature vectors are extracted from the null space of intrapersonal locality preserving difference scatter matrix, which avoids the singularity and the SSS problem is solved.
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.
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.
讨论了线性规划模型中，消耗系数矩阵a中某个基变量或某个约束方程的系数向量变化以及增减约束方程时，对最优基、最优解、目标函数值和影子价格的影响。
The paper discuss the effect exerting on objective function, optimum solution and shadow price in LP when consumption coefficient matrix a change and a inequality constraint is increased or decreased.
求出使最优解或最优基保持最优的消耗系数矩阵中列向量和行向量的可变范围。
The variable ranges of vectors in consumption coefficient matrix for which the optimal solution or optimal basis remain invariable are determined.
另外，大多方案提出的自适应律都是对最优逼近参数向量进行自适应调节。
Furthermore, adaptive laws presented in most schemes all adjust optimal approximation parameter vectors.
应用模糊理论的方法对支持向量机分类及最优分类面进行了解释，对可疑分类区列出了模糊隶属度的表达式。
A method based on fuzzy theory is applied to explain the classification of SVM and its optimal hyperplane. An expression of fuzzy membership on doubtful classification area is listed.
当线性规划约束条件的右端向量在一定范围内变化时，目标函数的最优值是右端向量的一个复杂的分片线性函数，但通常难以给出分析表达式。
The optimal objective value is a complicated piecewise linear function of the right-hand-side vector of the constraints, and its analytical expression is normally hard to obtain.
得到的最优控制律由解析的线性前馈-反馈项和伴随向量序列极限形式的非线性补偿项组成。
The obtained optimal control law consists of analytical linear feedforward and feedback terms and a nonlinear compensation term which is the limit of the adjoint vector sequence.
支持向量机分类器结构简单、可获得全局最优、泛化能力强。
SVM has good characteristics of simple structure, global optimum and strong generalization ability.
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.
与基于安全向量及扩展安全向量的容错路由算法相比，MSPV是SV以及ESV的最大扩展，解决了如何用向量的形式来记录最多最优通路的问题。
Furthermore, it proves MSPV is the final extension of safety vectors (SV) and extended safety vectors (ESV), which also use the vectors to record the optimal paths in hypercube multi-computers system.
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.
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.
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