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.