无理数的逻辑主义是颇有些不自然的。
The logical definition of the irrational number is rather sophisticated.
在某种特定的情况下，这个无理数的扩展数字是随机的。
The digit number of the extension of this irrational number is random on certain basis.
1869年查尔斯·梅雷作为数学算术化的革新者给出无理数的一个定义。
In 1869 Charles Meray, an apostle of the arithmetization of mathematics, gave a definition of the irrationals.
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。
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.
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。
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.
二的平方根是一个无理数。
当转速比为无理数时，研磨轨迹的分布较致密。
When this rotating speed ratio is an irrational number, the distribution of grinding track becomes finer.
他对无理数作了出色的处理。
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。
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.
本文通过问卷调查和访谈的方法对职前和在职数学教师关于无理数概念的理解进行了调查研究。
In this paper, the author takes a survey on pre-service and in-service mathematics teachers 'understanding of irrational Numbers by using questionnaire and interview.
不是有理数的实数被称为无理数。理数的实数被称为无理数。
不是有理数的实数被称为无理数。理数的实数被称为无理数。
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