测度空间

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

It's difficult to apply the methods which process static fluorescent images to our experiment. We propose a self-adaptive segmentation based on spatial point pattern cluster features comparability in Markov field.

该文就心肌细胞Ca2+离子定量研究过程中遇到的这一问题，提出一种基于马尔可夫场和空间点模式的特征聚类相似性测度的自适应图像分割算法。

We also discuss the rational counting measure and a coherence operator in the compact space.

有理点计数测度以及紧空间上的凝聚算子。

In the third chapter, we use the tool of Carleson measure, charactering the bounded and compact of weighted composition operator on Bergman space on strongly pseudoconvex domains, these results generalized the results of G.

在第三章，利用Carleson测度这一工具，刻划了有界强拟凸域上Bergman空间上加权复合算子的有界性及紧性。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

Calculation of some nonlinear index of EEG based on phase space reconstruction is important for study of brain.

在脑电序列相空间重构的基础上计算非线性测度是研究大脑功能和状态的重要方法。

Byapplying a general large deviation theorem of Kifer and Ruelle's Smale space tech-nique together with his unique equilibrium state result for non-Holder continuousfunctions,we obtain a level-2 LDT for the Axiom A endomorphism with respectto its equilibrium states,and for Axiom A attractors of the endomorphism withrespect to the Lebesgue measure.

利用Kifer的一个一般性的LDT，Ruelle的Smale空间方法及其关于非〓连续函数平衡态的存在唯一性结果，我们证明了公理A自映射相对平衡态的level-2 LDT，以及自映射的公理A吸引子相对Lebesgue测度的level-2LDT。

Keywords: reflection-invariant measure; finite reflrction group; spherical harmonics; uncertainty principle; Hardy space

中文关键词：反射不变测度；有限反射群；球面调和；测不准原理；哈代空间

Additionally, considering the additive methods with one evaluation function, we give the range of weights that ensure the fixedness of alternatives rank by the limited conditions on evaluation functions making sure the rank invariability on alternatives.

该方法通过给出有限方案集的非劣方案、潜在最优方案、邻近潜在最优方案以及竞争方案等定义，以Euclidean空间的距离为测度，用可变参数的最小参数变化量来描述任意方案到当前最优方案间的距离，给出了以距离为基础的定量化敏感性指数，并以竞争方案到当前最优方案的距离来衡量当前最优方案的敏感性。

In this study, a novel artificial immune system algorithm for unsupervised classification and recognition is proposed by using a novel manifold distance based dissimilarity measure which can measure the geodesic distance along the manifold.

摘要将一种新的流形距离作为相似性度量测度，提出了一种用于无监督分类与识别的人工免疫系统方法。通过基于流形距离的相似性度量，有效利用样本集固有的全局一致性信息，充分挖掘无类属样本的空间分布信息，对样本进行类别划分。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。