查询词典 optimality

Chapter 5 is devoted the study of fuzzy optimization in fuzzy convex analysis structure given in chapter 4. We consider the problems of minimizing and maximizing a convex fuzzy mapping over a convex set and develop necessary and/or sufficient optimality conditions.

在第5章中，首先，在第4章所建立模糊凸分析的结构基础上，考虑了凸模糊映射的极值问题，得到了凸模糊映射取得极值的充分/必要条件。

In the chapter 6, an overall analysis and appraisal for the reliability, function/performance and economy of RMCS is made; an integral index and its corresponding formula which takes into account the system reliability and function/performance level together is proposed; moreover, taking the economical optimality analysis into account, a criterion for appraising the overall quality of RMCS is built; finally, a case study is given.

第六章对可靠微机控制系统的可靠性、性能及经济性进行了全面的分析和综合评定，提出了反映系统可靠性与功能/性能水平的统一指标及其计算公式，引入经济最优性分析后，建立了评估系统综合质量特征的准则和方法，最后研究了一个应用实例。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

Several crite- rions are presented relying on all possible instances for third-order profile planning. Based on these criteria and dynamic constraints, fast and accurate algorithm of profile planning with time-optimality by preprocessing the entire profile as a whole is described. Ac- curacy losses in discrete time implementation are considered.

这类运动对精度和效率的要求极高，甚至要求纳米级精度，而轨迹规划是超精密运动的重点和难点之一，其轨迹规划精度直接决定了运动精度和性能，因此，与此相适应的快速精确的轨迹规划算法成为了现代超精密运动系统必须解决的问题，是提高竞争力的必要手段。

Firstly, the optimality of identical sensor system for the exponential distribution family has been verified.

首先，我们确证了全同感测器系统在指数分布族的参数辨识问题上的最佳性。

Duality theorem and saddle point optimality condition for the multiobjective semidefinite programming are then est...

然后利用鞍点的等价定义，得到多目标半定规划的鞍点最优性条件。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

In Chapter 4,we obtain the optimality for the quasi-score function 〓in a more general class of estimation functions〓,where〓and〓or〓This result is a extension of Gauss-Markov theorem of the linear model to the nonlin-eaar model.

在本章中，我们得到拟得分函数〓在一种较大的估计函数类〓中的最优性，其中〓而〓或〓于是，我们得到类似于线性模型中的Gauss-Markov定理和拟得分函数的拟Fisher信息上界及达到上界的充要条件：〓，其中〓为真实未知的得分函数，〓为模型均值。

By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.

在线性空间中，定义了广义次似凸映射的概念，并讨论了它的一些性质，建立了此映射的择一定理。

The optimality conditions of vector extremum problems with generalized inequality constraint are obtained by the theorem in ordered linear topological space.

运用此定理，在序线性拓扑空间中获得了带广义不等式约束的向量极值问题的最优性条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。