测度空间

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

W. Ehm gave this stochastic processes in 1981, and he obtained most of the exact Hausdorff measure functions for the sets of the range and graph of the processes, excluding some special cases, i.

Ehm在1981年给出了这类过程的定义，并得到了除一些特殊情况（即当稳定过程所在的参数空间的维数与它的特征指标的乘积恰好与稳定过程所取值的空间的维数相等）外，该过程的像集和图集的确切Hausdorff测度函数。W。

In Chapter One,we find the relationship between strong open set condition , Hausdorff dimension,the positivity of the Hausdorff measure and β space of graph-directed self-similar sets in complete metric spaces.

在第一章中，我们讨论了在度量空间中，图定向自相似集的强开集条件、Hausdorff维数，正的Hausdorff测度和β空间之间的关系。

Firstly,the classification of probability rule is analyzed on the base of classic rough set concepts and extended to the equal relation of set in the indefinite system,namely,the upper and lower approximation space of research set is expressed in the form of conditional probability;then,according to the measure of probability rule,the attributes reduction is carried out and the classification rule is extracted by using the related parameters of condition attributes' impend precision from the angle of conditional probability;Finally,the related simulation test result is given and the result shows the classification rules with probability measures is more rational.

首先在经典粗糙集概念的基础上分析概率规则的分类，并将其推广到不确定系统的集合等价关系中，即用条件概率的形式表示研究集合的上下近似空间；然后根据概率规则的测度从条件概率的角度利用条件属性的逼近精度的相关参数进行属性集的约简进而提取分类规则；最后给出了相关的仿真实验结果，结果表明带有概率测度的分类规则更合理。

Based on the reciprocity theory, knot analysis and route analysis methods, make an measurement and division about center grade of main cities, and propound the general construction goal and "one core, one axis and two wrings" space organization proposal.

基于空间相互作用理论，运用节点分析、线路分析等手段，对甘肃省城镇系统内主要城市中心等级进行了测度与划分，并提出了省域城镇系统整体构建目标和"一心一轴两翼"的空间组织建议。

In this paper, many concepts and propositions in measure theory are described and characterized by nonstandard analysis in nonstandard saturation model, and some important conclusions in Loeb measure space are extended and developed to a certain extent.

本文在非标准饱和模型下，利用Loeb测度对测度论中的若干概念和命题进行了非标准描述和刻画，并在一定程度上推广和发展了Loeb空间的一些重要结论。

New chance space inherits the mathematical foundations of both probability and credibility theory, and a hybrid variable is measurable function from a chance space to the set of real numbers. In order to measure hybrid variable, a concept of chance measure was introduced by Li and Liu.

为了刻划混合变量，Li和Liu基于机会空间概念提出了新的机会测度(显然机会测度同样适合于刻划随机模糊变量，模糊随机变量)，对混合变量的研究也取得了一些成果。

An interesting measure in symbolic space is studied,which is defined by a very useful method of repeated subdivision.

讨论符号空间里一类有趣的测度，它是通过反复细分的方法得到的，最后证明这样的测度是Borel正则的

Instead of statistical description, a feature subspace with the base of some significant eigen vector extracted from covariance matrix is constructed to describe speech feature distribution of speaker. Distance metrics for measuring distance between input feature vector and subspace are also proposed for pattern matching.

说话人语音训练样本提取特征后在语音特征观察空间形成具有一定散度的分布，根据主元分析原理和分布散度提取主要散度本征向量作为基底构成说话人语音特征子空间，并通过测试语音特征矢量与子空间的距离测度进行模式匹配。

Recently,atoms with higher order vanishing moment were defined by Krant-z etc on some particular spaces of homogeneous type,but it hasn't been solvedthoroughly on usual spaces of homogeneous type.On the other hand,krantz'sstudy was made under the condition which the measure of the sets constructedby single element is zero,therefore their work didn't include the case of integ-er Z as a particular space of homogeneous type.Indeed,as a Hardy space on Z,〓(0＜p≤1)has been studied by some scholars.

尽管近来Krantz等人在某些齐型空间上定义了带高阶消失矩的原子，但在一般的齐型空间上建立带高阶消失矩的原子Hardy空间还没有完全解决，而且Krantz等人的工作是在单点集测度为零的条件下讨论的，因而不包括作为齐型空间的整数Z的情形。Z作为一类特殊的齐型空间，其上Hardy空间〓的问题有不少学者讨论过。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了