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The subject matter of this paper lies at the crossroads of six areas: ring the-ory, group theory, semigroup theory, graph theory, elementary number theory andcombinatorics.

本课题主要涉及数学中的六个领域：环论，群论，半群论，图论，初等数论和组合数学。

Evolution of a phase transition system is an important topic with many applications. The crucial difficulty lies in the instability of ellipticity.

相变系统随时间的演化过程是一个有着广泛应用背景的重要理论问题，其核心困难在于椭圆不稳定性。

To emancipate the mind in the new period, the key lies in doing it on this question .

新时期的思想解放，关键就是在这个问题上的思想解放。

The charm of the Olympic Movement lies in its tremendous embracement.

奥林匹克运动的魅力在于她的巨大包容力。

Its essence is the emersion of the internal spirit of human, and its purpose lies in self-expressions of emotion.

中文摘要艺术是人类情感极度升华的表现，其本质是人类内部精神的再现，其目的就在於情感的自我表达。

Perhaps your company is using emery cloth folder other manufacturers, it is believed that after the trial and contrast, you will choose our products, because: high quality and low price, are Lianhua license folder Forever competition highlights emery cloth, but also I plant the secret to win the market lies.

也许，贵公司现在使用的是其他厂家的夹砂布，但相信在经过试用和对比之后，您一定会选用我们的产品，因为：质优价廉，永远是联华牌夹砂布的竞争亮点，也是我厂赢得市场的秘诀之所在。

The objective of the lesson lies in enabling students to express things that they are unable to do.

本课的学习目的是让学生学会用合适的语句来表达自己会与不会做的事情。

On the other hand, the complexity of the encoder lies on that of the of motion estimation algorithm.

另一方面，运动估计算法的复杂度将直接决定视频压缩编码系统的复杂度。

Composition and so on goal,principle which encompassment cost accounting the object forms a series of relates mutually which its theory structure is take cost accounting the supposition as the premise,organic wholes,its goal lies in the explanation,the appraisal,the instruction and consummation cost accounting the practice.

其理论结构是以成本会计假设为前提，围绕成本会计对象所形成的一系列相互联系的目标、原则等组成的一个有机整体，其目的在于解释、评价、指导和完善成本会计实务。

Lyric Spend all your time waiting for that second chance For a break that would make it OK There's always some reasons to feel not good enough And it's hard at the end of the day I need some distraction or a beautiful release Memories seep from my veins Let me be empty and weightless And maybe I'll find some peace tonight In the arms of the angel Fly away from here From this dark, cold hotel room And the endlessness that you fear You are pulled from the wreckage of your silent reverie You are in the arms of the angel May you find some comfort here So tired of the straight line And everywhere you turn There're vultures and thieves at your back The storm keeps on twisting You keep on building the lies That you make up for all that you lack It don't make no difference, escape one last time It's easier to believe In this sweet madness, oh this glorious sadness That brings me to my knees

抒情花光你的时间等待，第二次机会，让我们稍作休息，使它有确定的总是由于某种原因感到不够好，似乎也很难在最后一天，我需要一些牵拉还是一个美丽的记忆，释放漏水，从我的脉，让我空洞和失重，也许我会找一些和平今晚的怀里天使飞走从这里从这个黑暗中，寒冷房间和吉祥说，你怕你抬出飞机残骸你的沉默你的遐想在武器的天使，你可以找到一些安慰，让疲倦的直线你到处转，歌颂雕和小偷在你的背部风波不断捻你们继续建设鬼话，你弥补一切，你没有这样做，不作任何区别，逃跑，最后一次是最容易相信在这甜蜜的疯狂，哦这一光荣的哀愁，我想提出我的膝盖

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。