countable set

Are there any countable bases of a non-principal ultrafilter on a Countable set?

可列无限集上的非主超滤子有没有可数基呢？

In this paper, the concept of countable set is introduced to the hierarchy diagnosis, in the more, the rules that select the fault models space in the hierarchy diagnosis is given, which provides a basic frame for the reality of hierarchy diagnosis and multi-information diagnosis.

首次将可列集的概念引用到层次诊断中，并给出了层次诊断中故障模式空间的选取原则，为层次诊断的工程实现和未来进行多信息诊断提供了基本框架。

Where the state set is countable, the action set is a non-empty Borel compact subset of a complete separable matric space.

假设状态集可数，行动集为紧的非空Borel集。

For any information source on a countable set, the limit properties of relative likelihood ratio and log-likelihood ratio of entropy density with respect to the independent geometry distribution, an important problem in the information theory is discussed.

对任意的可列集上的信息源，探讨信息论的-个重要问题，即探讨了相对于独立型几何分布的熵密度似然比与对数似然比的极限性质。

Sufficient and Necessary Condition of Countable Additivity of Set Function

集函数有可列可加性的充要条件

In this peper some sufficient optimality conditions and duality theorems are obtained for a semi-infinite programming problem in the symmetrically differentiable generalized convex functions and the set of active constraints index is infinite countable set case.

在对称可微广义凸函数、起作用约束指标集为无穷可数集的情形下，得到了半无限规划的几个最优性充分条件和对偶性定理。

In this paper is presented a class of Q-matrixes, the exit boundary of which is a countable set.

本文给出一类具有可列个流出边界点的Q矩阵。