Discrete Metric
Definition
Suppose $X$ is a set.
The discrete metric on
$X$ is the function $d: X \times X \to \R _+$
defined by
\[
d(x, y) = \begin{cases}
1 & \text{ if } x = y \\
0 & \text{ otherwise }
\end{cases}
\]
Suppose $X$ is a set.
The discrete metric on
$X$ is the function $d: X \times X \to \R _+$
defined by
\[
d(x, y) = \begin{cases}
1 & \text{ if } x = y \\
0 & \text{ otherwise }
\end{cases}
\]