查询词典 hausdorff metric

The Remark about Some Theorems of Real Number s Continuity;2. A class of fixed point theorems on a compact hausdorff topological space;3. This article has introduced some common basic natures of prime numbers,and has discussed other non-common natures and theorems of prime numbers.

主要介绍了量纲的基本概念、量纲分析的∏定理及齐次性原则，用两个实例解释了量纲分析在物理中的应用，最后指出了用量纲分析问题时应注意的问题和存在的不

In this thesis, we study two problems: the existence results of solutions for generalized vector quasi-equilibrium problems and Hlder continuity of solutions to generalized vector equilibrium problems. The detailed contents are listed as following:In Hausdorff topological vector space, we discuss the existence results of solutions for three types of generalized vector quasi-equilibrium problem (GVQEP1,(GVQEP2) and (GVQEP3), for short respectively.

本文主要研究了两类问题：广义向量拟平衡问题解的存在性以及广义向量平衡问题解的Hlder连续性，具体内容如下：在Hausdorff向量拓扑空间中，讨论了三类广义向量拟平衡问题(GVQEP1)，(GVQEP2)和(GVQEP3)解的存在性定理。

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

Two different approaches, with and without using the Hausdorff distance, for image matching methods are discussed in this dissertation.

我们将以两种不同的研究的方向，一种方法为应用Hausdorff距离，另一种则不应用Hausdorff距离，来提出研发创新的强韧影像比对法。

Face image location algorithm using Hausdorff distance is part of preprocessing of a motion face recognition system.

利用Hausdorff距离的人脸图像定位算法是动态人脸识别系统的预处理工作。

By means of the Hausdorff-Young inequality of convolution integral, the convergence of the updating rule is analyzed in the sense of Lebesgue-p norm. Invention of the nonlinearity and the interaction on convergence are discussed.

通过卷积的 Hausdorff-Young 不等式，本文分析了学习控制律在 Lebesgue-P 范数意义下的收敛性，讨论了系统的非线性性和关联性对控制律收敛性的影响。

We show that for any subshift of finite type determined by an irreducible and aperodic matrix, there is a finitely chaotic set with full Hausdorff dimension.

指出：对于由本原方阵所决定的符号空间有限型子转移而言，存在满Hausdorff维数的有限型混沌集。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

Under generalized cone-subconvexlikeness for vector valued mappings in locally-convex Hausdorff topological vector spaces, by using separation theorem for convex sets, optimality necessary conditions are derived.

在局部凸Hausdorff拓扑线性空间中，在近似锥－次类凸假设下，利用凸集分离定理得到了最优性必要条件。

I'm going tor her!

我这就去救她！

As rise are design to help keep a several toney , a brain chemical at continues lever.

SSRI被设计来帮助保持血液中的复合胺即在大脑中一个连续水平的化学物质。