因此说有理数集是一个有序的域。 序公理 。 因此说有理数集是一个有序的域 。

For this reason, we say that the set of rational numbers is an ordered field.

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在数集的基础上，在整数域上建立了一个新的交换半群，并在有理数域、实数域和复数域上进行了推广；作为应用，讨论了其元素的表示形式。

Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.

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一维空间的不可测集的构造方法基本相同，本文通过将二维空间里的点其对应坐标为有理数的划分方法来确定亲和集，进而给出了一个二维的不可测集。

We know the structure way of the one-dimension no-measurable set, in this paper we first define a amicable set using a mapping, then we give a two-dimension non-measurable set.

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一维空间的不可测集的构造方法基本相同，本文通过将二维空间里的点其对应坐标为有理数的划分方法来确定亲和集，进而给出了一个二维的不可测集。

We know the structure way of the one-dimension no-measurable set, in this paper we first define a amicable set using a mapping, then we give a two-dimension non-measurable set.

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