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单词 Rational field
释义

Rational field

中文百科

有理数 Rational number

(重定向自Rational field)
有理数集是可数的

数学上,可以表达为两个整数比的数(a/b, b!=0)被定义为有理数,例如3/8,0.75(可被表达为3/4),与此对应的是无理数,如\sqrt{2}无法用整数比表示。
有理数与分数的区别,分数是一种表示比值的记法,如 分数\sqrt{2}/2 是无理数。
所有有理数的集合表示为Q,Q+,或\mathbb{Q}。定义如下:

\mathbb{Q} = \left\{\frac{m}{n} : m \in \mathbb{Z}, n \in \mathbb{Z}, n \ne 0 \right\}

有理数的小数部分有限或为循环。不是有理数的实数遂称为无理数。

英语百科

Rational number 有理数

(重定向自Rational field)
A diagram showing a representation of the equivalent classes of pairs of integers
A diagram illustrating the countability of the rationals

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q (or blackboard bold \mathbb{Q}, Unicode ); it was thus denoted in 1895 by Peano after quoziente, Italian for "quotient".

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更新时间:2025/6/16 23:28:36