不可数性

More precisely, under the assumptions of Dissipation, Competition and Strong Competition, we prove that there is a canonically defined countable family of unordered, disjoint invariant sets which attract all persistent trajectories whose ω-limit sets are not cycles.

的Poincaré映射，证明了在耗散性、竞争性和内部强竞争性的条件下，存在一簇至多可数个互不相交的（n-1）维不变子集吸引所有不渐近于周期轨的持续轨道。

All superclasses of closed unbounded classes are stationary and stationary classes are unbounded, but there are stationary classes which are not closed and there are stationary classes which have no closed unbounded subclass ( such as the class of all limit ordinals with countable cofinality ).

所有闭合无界类的超类是固定的并且固定类是无界的，但是有着不闭合的固定类并且有着没有闭合无界子类的固定类(比如带有可数共尾性的所有极限序数的类)。

There are the seeming paradoxes of countability and uncountability

粗略地讲，悖论可分为可数性悖论和不可数性悖论。

The paper introduces several important notions such as uncountability and halting problem firstly,the fact is proved by contradiction that halting problem is impossible problem,and the same to other relative issues in computer is proved by reduction.

本文先介绍了不可数性和停机问题等重要概念，用反证法证明了停机问题是不可解的，并使用归约法对计算机中的相关问题的不可解性进行了证明。

Through a new analysis on the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of , a mysterious error was found:the very same logic contradiction was applied in both Russell and Cantor's work.

分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个非构造性证明中所依赖的、用对角线法所构造出的矛盾其实就是罗素悖论中所揭示的逻辑矛盾。

Through a new analysis on the essential relationship between Russell's Paradox and Cantor's proofs on the uncountability of real number set and the proof on the Cantor's Theorem of ,two mysterious errors were found: The very same idea was applied in both Russell and Cantor's work, but Cantor made wrong use of it with two logical mistakes.

分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托的这两个非构造性证明与罗素悖论有完全相同的思路，但是康托犯了两个逻辑性错误而使他误用了这个悖论思路。

Russell's Paradox; the uncountability of real number set; Cantor's Theorem of ; infinite theory system; part; all; epistemology; logic

罗素悖论；实数集合不可数性；康托定理；无穷理论体系；部分；全体；认识论；逻辑

By using the theory of bifurcations of dynamical systems to the generalization form of the modified KdV equation, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained.

本利用动力系统的分支理论来研究一类广义MKdV方程的行波解，得出了孤立波、扭子、反扭子和不可数无穷多个光滑和非光滑周期解的存在性。

In this paper, the concepts of twelve countable compactness in symmetric topological molecular lattices are introduced.

在对称拓扑分子格中引入12种可数紧性的概念，着重指出了它们在极不连通的对称拓扑分子格中的内在联系。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。