查询词典 countable infinity

In this paper, we obtain some equivalent characterizations of a perfect paracompact space under the condition T1 regular. By using the one of them, an equivalent proposition on the countable product is proved.

本文在T1正则的条件下得到了完全仿紧空间的一些等价刻画，并利用所得到的刻画证明了这类空间的一个可数乘积定理。

This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition 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。

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。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。