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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。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。