查询词典 countable

This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition T 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画，并且利用获得的刻画证明了这类空间的一个可数乘积定理。

The theory of generalized metric properties and covering properties stems from a generalization of metrizability and compactness, in which a great many problems involve a research for certain point-countable covers.

作为对可度量性与紧性一般化而形成的广义度量理论与覆盖性质理论中的许多问题涉及到对确定的点可数。。。

Similarly, a countable product of metric spaces can be obtained using the following metric

类似的，度量空间的可数乘积可以用如下度量获得

In fifth chapter,as applications of the existence theorem of〓-optimalcoupling operator for the jump processes,the estimate of the varied expontialconvergence rate for the jump processes and the existence of an order-preservingMarkov coupling for the jump processes are investigated,where,the obtained theexistence theorem of an order-preserving Markov coupling is a general theorem onPolish space endowed with semiorder,it includes the results that existence theoremon countable state apace endowed with total order or finite state space endow withsemiorder have been obtained by the internal and external mathematicians in recentten years.

第五章作为跳过程〓最优耦合算子存在性定理的应用，讨论了跳过程各种指数收敛速度的估计和保序Markov耦合的存在性。其中保序Markov耦合存在定理是具有偏序关系波兰空间上的跳过程最一般的定理，它包括了近10年来国内外对具有全序关系可数状态空间或具有偏序关系有限状态空间上的跳过程关于保序Markov耦合存在定理的研究成果。

We also introduce the countable compactness and sequential compact-ness for a De Morgan algebra of topology and study the relations between any two of theseconcepts and compactness.

同理还在德摩根拓扑代数中引进了可列紧和序列紧，研究了可列紧和序列紧之间的关系以及这两种紧性与紧之间的关系。

In theory the English word "throe" is countable, though use of the word is so limited to certain fixed expressions (e.g."in his death throes") that one would be startled to encounter "a throe" in modern speaking or writing.

从理论上说，英文单词"throe，挣扎"是可数的，但这一用法极为有限，只限于某些固定用法中（如：in his death throes，垂死挣扎），以至于如果有人在口语或文字中碰到"a throe"会感到吃惊。

Later, owen[18] showed that the class of all countable undirected graphs contains a universal homogeneous object.

后来，欧文[ 18 ] 结果表明，所有数类无向图中包含一个普遍同质对象。

The investigation of universal structures can be traced back to Cantor[6] who showed that the chain is both universal and homogeneous in the class of countable linear orders.

调查普遍结构可以追溯到康托尔[ 6 ]谁表明，链是普遍的和均匀的类数线性订单。

This strategy is a departure from (and understandably so due to the increased complexity) the original one for random graphs[16] where a universal homogeneous countable graph is constructed with probability 1 in a single step (i.e., a single round of countably many probabilistic choices made independently).

这一战略是背离（和理解的原因是越来越复杂）原来的随机图[ 16 ]在一个普遍的同质数图1构造的概率在一个步骤（即单轮数许多概率选择独立）。

Are countable sets:Λ-Γ,〓-Γ are either empty or countably infinite, where Γ denotes the set of γ-limit points of f; tree map's depth of attracting center is finite and the attracting center is Γ provded all the branching points are periodic points. In chapter Ⅲ. we discuss certain relationship between isolated chain recurrent point and eventually periodic point of some continua.

主要利用树的特殊偏序关系证明了：不在周期点集闭包中的ω极限点都有无限轨迹；Ω-〓，Ω-Γ为可数集，Λ-Γ，〓-Γ或为空集或可数无限，其中Γ为f的γ极限点集；当分支点都是周期点时，连续树映射的吸引中心深度有限，且吸引中心就是Γ。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。