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1·The square root of two is an irrational number.

二的平方根是一个无理数。

2·Is an irrational number, also is a transcendental number.

是一个无理数，也是一个超越数。

3·The logical definition of the irrational number is rather sophisticated.

无理数的逻辑主义是颇有些不自然的。

4·The digit number of the extension of this irrational number is random on certain basis.

在某种特定的情况下，这个无理数的扩展数字是随机的。

5·When this rotating speed ratio is an irrational number, the distribution of grinding track becomes finer.

当转速比为无理数时，研磨轨迹的分布较致密。

6·It's also an irrational number, with an infinite number of decimal places and can't be written as a ratio of two whole Numbers.

pai也是个无理数，它的小数位有无限多，而且pai无法写成了两个整数的比值。

7·Amazingly, this works for any piece size, even if the cutting Angle is an irrational number: all the icing will be back on top after a finite number of steps.

令人惊奇的是，对于任意大小的扇形，即使圆心角是一个无理数：经过有限步之后，所有的糖衣都会回到上面。

8·The rotating number is generally an irrational number and only in some special conditions is a rational one, from which it can be known that the motion of the system is quasi-periodic or periodic.

在此基础上分析系统的转动数，发现转动数一般为无理数，只在某些特定条件下存在有理旋转数，从而系统作准周期运动或者周期运动。

9·A superstition is an irrational idea, like believing that the number 13 is unlucky!

迷信是一种不合常理的想法，比如认为13是不吉利的数字！

10·There is probably a bubble in the number of start-ups, says Alan Patricof, a venture capitalist, though he is not yet convinced that there is irrational exuberance in later-stage valuations.

风险投资家alan Patric of承认，“在众多创业企业中也许确实有泡沫存在”，不过他现在还不相信后期估值存在非理性繁荣。