查询词典 metrically convex subset

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

The award took the shape of an eight pointed convex cross with a mobile swastika in the center disk.

勋章采用了指向八个方向的凸面十字并有一个万字于中心。

A molded plastic bottle (10) has a base (24) having an outside surface rotationally symmetric about a longitudinal axis of the bottle including a convex heel (26) and a central concavity (28) separated by a standing ring (30) supporting the bottle on an underlying surface.

一种模制的塑料瓶(10)，具有一个带有绕瓶子的纵轴转动对称的外表面的底座(24)，该底座包括凸出的跟部(26)和中心凹面(28)，它们用将瓶子支撑在任何下垫面上的立环(30)互相分开。

In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space.

在第一部分中研究了具有控制参数的一阶微分方程组。

This method is based on tensor and tensor algebra. To utilize the multidimensional data of the remote sensing image, the vector-based learning machine is generalized to the tensor-based learning machine which accepts tensors as input, then the convex optimization theory and the alternating projection procedure are used to get the solution of the TLM.

该方法基于张量数据模型和张量代数运算，针对遥感影像数据多维或高维的特点，将基于向量的监督法学习机扩展为基于张量的监督法学习机，然后利用凸函数最优化理论和交互投影迭代法求得张量学习机的最优解。

This dissertation proposes group reasoning and group AHP-based GDSS structure and its decision steps to solve the problems existing in research of theory and application of GDSS. Besides, the dissertation also studies the method of group reasoning on rough-set and qualitative reasoning method basis in GDSS. It also studies on constructing method of hierarchy structure of group AHP in GDSS and combinative method of judgment matrixes. Moreover, it studies on method regarding construction of judgment matrixes on rough set based and optimization theory of convex combination parameters of judgment matrixes as well. Finally, it develops an AHP based GDSS to demonstrate the efficiency of these methods.(1) This dissertation also summarizes the developing trend of GDSS and analyses problems as regards the research of GDSS.

本论文针对GDSS理论研究及应用中存在的若干问题，提出了基于群体推理及群体层次分析法的GDSS结构，并给出了基于该结构的GDSS的决策程序；研究了GDSS环境下的基于粗糙集理论及定性推理技术的群体推理方法，并举例说明了方法的有效性；研究了GDSS环境下群体AHP层次结构的建立、判断矩阵集结的理论与方法；研究了判断矩阵凸组合系数的优化原理；探讨了基于Rough Set的判断矩阵构造方法；开发了一个基于AHP的GDSS原型系统，旨在验证本文关于GDSS环境下群体AHP有关方法的有效性。

The concept of -generalized convex set-valued map is defined in linear topological space.

在线性拓扑空间中，定义了-广义锥凸集值映射的概念。

Based on the transfinite interpolation theory, an improved algebraic grid generation method is presented in this paper. Our improvements of existing algebraic grid generation method include:(1) orthogonality control, which greatly improves grid orthogonality adapted to viscous flow calculation;(2) weighted average smoothing, which efficiently handles with grid intersection due to concave corner existence;(3) normal vector control, which adjusts grid smoothing near convex corner.

基于无限插值理论，引入本文提出的网格正交控制、物面法向量控制、加权平均光顺措施，给出了一种改进的空间网格生成方法，有效克服了传统无限插值网格生成方法在复杂外形网格生成方面的缺陷，有效改善了网格的法向疏密性、贴体性及周向网格的均匀性，对真实飞行器部件网格生成非常迅速。

The public transport network design problem is non-convex and the best and most useful solution methods are based on heuristic procedures.

公共交通网络设计问题就是非凸和最好和最有用的解决方法是基于启发式程序。

Based on the curvature of substrate and Newton ring ,a simple set for measuring the stress in films is designed,which consists of a He-Ne laser,an extended lens,a convex lens and a travelling microscope with a spectroscope.

文章使用M athem atica描绘牛顿环与迈克耳孙干涉条纹，形象地讨论了两条纹产生机理、环纹中心、环纹级次、非单色光环纹及在测量波长时方法等的差异，使教学过程更具有直观性和生动性，加速教学手段现代化进程

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。