不动元素

We know that every nonelementary subgroup of 〓 contains infinitelymany loxodromic elements,no two of which have a common fixed point and thisproperty of nonelementary subgroup is very important for the study of discretecriteria and algebraic limit theorems for subgroups of 〓.

我们知道〓上〓变换群的Beardon非初等子群G有一个非常重要的经典结果：G中存在无穷多个斜驶元素，且他们两两没有公共不动点。

Thus we fist study the relation between the 〓 transformations of〓 and its fixed points carefully.Then we give several important properties ofthis special nonelementary subgroup of 〓.

其次，我们对这种非初等群的不动点、极限集及其元素进行详细研究，得到了非初等群判别准则和〓型不等式。

Heraclitus,one of the first to use the term, associated logos, the active, creative principle, ever-moving and changing, with the element fire.

赫拉克利特是最初使用这个术语的人之一，他将逻各斯这个活动的、创生的、永动不居的本源与火元素相联系起来。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。