- #1

- 446

- 0

## Homework Statement

[PLAIN]http://img833.imageshack.us/img833/6932/metric2.jpg [Broken]

## The Attempt at a Solution

I've shown [itex]d_{X\times Y}[/itex] is a metric by using the fact that [itex]d_X[/itex] and [itex]d_Y[/itex] are metrics.

What is a simpler description of [itex]d_N[/itex] with [itex]d_X[/itex] the discrete metric?

Is it just: [tex]d_N(x,y) = \left\{ \begin{array}{lr}

N & : x\neq y\\

0 & : x=y

\end{array}

\right.[/tex]

Last edited by a moderator: