无限循环

LIU Hui's Cyclotomic Method is one of the greatest achievements in the history of mathematics in China,even in the world,in which the special approach to understand the infinity and the method to solve it are presented.

有的著作认为在极限公式limx→0sinxx=1的证明中，要用到圆的面积公式S=21Lr，而对后者的证明中必须要用到重要极限limx→0sinxx=1，从而犯了循环论证的错误。魏晋刘徽的"割圆术"是对无限问题的独特认识和致用的处理方式，是为证明圆面积公式而设计出来的一种方法。

The decimal form of an irrational number is a non-repeating and non-terminating decimal number.

一个无理数写成小数形式是无限不循环的。

The only problem is that we must avoid infinite recursion.

在这里，我们唯一需要注意的问题就是必须避免其无限的循环。

That the limit of solid content of distillage, distillage filtrate and filtration residue exists when distillage filtrate is recycled infinitely.

证明酒糟、液和滤渣固形物含量在全回流无限循环时存在极限。

William Poundstone , author of The Recursive Universe, contrived an analogy to illustrate why searching huge Borgian libraries of knowledge is as difficult as searching the huge Borgian library of nature itself.

循环宇宙》的作者威廉庞德斯通设计出一种类推法来阐述为什么搜索无限的博尔赫斯知识库和搜索无限的博尔赫斯式自然库一样困难。

William Poundstone , author of The Recursive Universe, contrived an analogy to illustrate why searching huge Borgian libraries of knowledge is as difficult as searching the huge Borgian library of nature itself.

威廉庞德斯通，《循环宇宙》的作者，设计出一种类推法来阐述为什么搜索无限的博尔赫斯知识库和搜索无限的博尔赫斯式自然库一样困难。

The Buddhist considered that the assortment of all sentient beings were being born from egg, zoogony, wet and convert. And this sort system was quite different from Chinese primary one. The Buddhist had known some of the food chain among the life-forms.

佛教认为宇宙间的一切都处在不断地产生、发展、灭亡，最后归于空寂的无限循环过程之中，佛教称之为&成、住、坏、空&。

In complex systems, it often happens that a thread deadlocks, or falls into an infinite loop.

在复杂的系统，它经常发生这样的线程死锁，或进入一个无限循环的范围。

For the first time, we investigated the possibility of using non-minimal coupled scalar field (include Real and Complex scalar fields) as the candidate of dark energy---Quintessence or Phantom. A cosmological model droved by real scalar field with accelerating and decelerating, forever cycling and expanding was constructed. Classical and quantum wormholes with Tachyon fields were discussed in detail. The entropy of sphere symmetric black holes due to arbitrary spin fields was studied, and the proportional relations between entropy and fields degeneracy was derived. For the first time, we investigated the neutrino quasinormal modes of stationary black holes in the background of de Sitter space-time, and the quasinormal modes of Schwarzschild black holes with arbitrary spin fields. We also studied the quantum teleportation in the background of curved space-time for the first time.

中文摘要：我们首次研究了非最小耦合标量场作为宇宙暗能量－Quintessence、Phantom的可能性；构造了一个实标量场驱动的加速－减速无限循环，永恒膨胀的宇宙模型；详尽讨论了具有Tachyon场的经典和量子虫洞；研究了一般球对称黑洞缘于任意自旋量子场的熵，给出了熵与量子场简并度之间的正比关系；首次研究了deSitter背景时空下具有中微子场的稳态黑洞的似正规模与具有任意自旋场的Schwarzschild黑洞的似正规模问题；首次研究了弯曲时空背景下的量子通讯问题。

Aesthetically popularized by M.C. Escher, Escher himself would be feverishly sharpening his pencil if got a gander of this infinite loop forming table.

审美普及的埃舍尔，埃舍尔本人将狂热地激化了他的铅笔，如果这个无限循环甘德形成表。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了