有限测度

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

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

For all finitely additive probability measures defined on theσ-algebra ?

上的所有有限可加概率测度的表示理论。

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。

The definition of fuzzy subset s entropy of fmity collection is proposed according to the definition of fuzzy event and its probability measure.

通过对模糊事件及其概率测度的定义引出有限集上模糊子集熵的概念。

Comparing to the deterministic case, the base space of RDS is one probability space without any topology, which is one of the essential difficulties from the deterministic case to random case. We conquer the difficulty in this paper.

随机动力系统和确定性动力系统相比，它的底空间是一个没有任何拓扑结构的概率测度空间，这一点恰是从确定性系统到随机动力系统的一个本质困难之一，无论是对有限维的情形还是对无穷维的情形。

The Kolmogorov extension proceeds along the following lines: assuming that a probability measure on the space of all functions exists, then it can be used to specify the joint probability distribution of finite-dimensional random variables .

收益的Kolmogorov延长其内容大致如下：假设概率测度空间上存在的所有功能，那么它可以用来指定联合概率分布的有限维随机变量。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。