查询词典 weakly compact set

As compared with the existing work in this field, the results given in this paper is simple, and suitable for any robotic manipulators with unknown dynamics nonlinearities.(3) The proposed control scheme excludes the assumption that is often used in the existing literature, i.e., the robot states are assumed to be within a compact set.

与现有方法比较，本文给出的结果比较简单，适合于任何动力学非线性未知机械手的控制；提出的设计方法，克服了现有机械手神经网络控制应用中所需要的假设条件，即假设机械手的状态量严格位于某一紧集中。

Maintaining a unified style, in the compact size, incorporating set, reasonable and convenient to use up and down with enough effort, do not spend a lot of money, you can easily have a substantial home.

保持统一的风格，在精简尺寸、收纳设置、合理搭配以及便捷使用上下足功夫，不用花很多钱，你就可以轻松拥有一个充实的家。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

One of Hutchinson's basic results is: If {S〓,…, S〓} is a family of contract operators on a complete metric space, then there is a unique nonempty compact set K, such that K=〓.

Hutchinson的一个基本结论是：对于完备距离空间上的任一族有限压缩映射{S〓，…，S〓}，存在唯一的不变非空的紧集合K，〓。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

The present paper studies the structure of the set of non-wandering points of a continuous map from a Graph(i.e., one-dimensional connected compact branched manifold) into itself.

本文主要研究了图(即一维紧致连通的分支流形)上连续自映射的非游荡集的结构。

Different from the former study,the value region of projective operator in the neural network which they study was a general closed convex subset of n demensional Euclidean space and it wasn't a compact convex set in general,that is,the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

Different from the former study, the value region of projective operator in the neural network which they study was a general dosed convex subset of n demensional Euclidean space and it wasn＇ t a compact convex set in general, that is, the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

The main results, obtained in this dissertation, may be summarized as follows:1. In chapter 2, the differential property of the optimal value function with a non-compact set is studied. The expression of its lower-Hadamard directional derivative is obtained.

第2章研究了非紧致集上最优值函数的微分性质，首先给出了最优值函数的Hadamard下方向导数的表达式，其次在最优值函数的有效域为非空凸集的情况下刻画出了次微分的表达式。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。