查询词典 Choice

"The axiom of choice does not perhaps play a central role in analysis, but when it is needed, it is needed most urgently".

这是很有道理的。这个方向上扩展出去可以看

Without the Axiom of Choice, however, one cannot prove that every D-finite set is finite.

你可以找一个看得懂英语的人，让他告诉你，我有没有骗你，有没有正面回答。

Yet, the BPI is strictly weaker than the axiom of choice, though the proof of this statement is rather non-trivial.

但是 BPI 严格的弱于选择公理，尽管这个陈述的证明是非常不平凡的。

It is known that all of these statements are consequences of the axiom of choice ( the easy proof makes use of

已知所有这些陈述都是选择公理的推论

The problem then becomes constructing such an ordering, and it turns out that every set can be well-ordered if and only if the axiom of choice is true.

问题就变成构造这样一个排序，而它使得所有集合可以是良序的，当且仅当选择公理为真。

Behold! By appealing to the Axiom of Choice, I can claim that I can dissect the very moon into but five parts, then put it back together and pop it into my mouth—like this fly!

听着！利用公理选择的方法，我可以把天上月亮分割成五个部分，然后再把它装起来放进我的嘴里，就像那只苍蝇那样！

Countable and uncountable sets , the axiom of choice , Zorn's lemma.

集合论。可数和不可数集，选择公理，佐恩引理。

Every strictly decreasing sequence of elements of the set must terminate after only finitely many steps (assuming the axiom of dependent choice).

注意这个第三点：对于一个良序集，任何严格递减序列都必然是有限的，无论这个集合的基数有多大。

The others problems discussed are nested interval method, Cantor theorem, C del incompleteness theorem and Axiom of choice etc.

同时对区间套法，康托定理，哥德尔定理，选择公理等与之密切相关的一些问题，作了深入讨论并得出创新性结论。

It's part of the "Human free choice" axiom that we refer to so often.

这就是我们曾经提到那么多次的"人类自由选择"的公理。

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。