Diameter of a metric space: Difference between revisions

Latest revision as of 19:43, 11 May 2008

Let $(X, d)$ be a bounded metric space. The diameter of $X$ is defined as:

${sup}_{x, y \in X} d (x, y)$

This is a finite constant precise because $X$ is bounded.

Revision as of 00:19, 2 February 2008 (view source) Vipul (talk \| contribs) (New page: ==Definition== Let <math>(X,d)</math> be a bounded metric space. The '''diameter''' of <math>X</math> is defined as: <math>\sup_{x,y \in X} d(x,y)</math> This is a finite constant p...)	Latest revision as of 19:43, 11 May 2008 (view source) Vipul (talk \| contribs) m (1 revision)
(No difference)