Definition:Gaussian Rational/Definition 1

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Definition

A Gaussian rational is a complex number whose real and imaginary parts are both rational numbers.

That is, a Gaussian rational is a number in the form:

$a + b i: a, b \in \Q$


Notation

The set of all Gaussian rationals can be denoted $\Q \sqbrk i$, and hence we have:

$\Q \sqbrk i = \set {z \in \C: z = a + b i: a, b \in \Q}$


Also see

  • Results about Gaussian rationals can be found here.