Power set: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Richard Pinch
m (typo)
imported>Richard Pinch
m (link)
Line 1: Line 1:
In [[set theory]], the '''power set''' of a set ''X'' is the set of all subsets of ''X''.
In [[set theory]], the '''power set''' of a set ''X'' is the set of all [[subset]]s of ''X''.


:<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math>
:<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math>

Revision as of 15:39, 3 November 2008

In set theory, the power set of a set X is the set of all subsets of X.