Definition:Distance/Points/Complex Numbers

Definition

Let $x, y \in \C$ be complex numbers.

Let $\cmod {x - y}$ be the complex modulus of $x - y$.

Then the function $d: \C^2 \to \R$:

$\map d {x, y} = \cmod {x - y}$

is called the distance between $x$ and $y$.