real number system

Noun

 * 1)  The complete Archimedean ordered field (of real numbers).
 * The real number system is a complete, linearly ordered field $$\mathcal{R} = (\mathbb{R}, +, \cdot, <)$$.
 * The real number system is a complete, linearly ordered field $$\mathcal{R} = (\mathbb{R}, +, \cdot, <)$$.
 * The real number system is a complete, linearly ordered field $$\mathcal{R} = (\mathbb{R}, +, \cdot, <)$$.