Definition:Gaussian Rational
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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:
- $a + b i: a, b \in \Q$
The set of all Gaussian rationals can be denoted $\Q \left[{i}\right]$, and hence can be defined as:
- $\Q \left[{i}\right] = \left\{{a + b i: a, b \in \Q}\right\}$
Source of Name
This entry was named for Carl Friedrich Gauss.
