Difference between revisions of "Power set"

From Conservapedia
Jump to: navigation, search
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
In [[set theory]], a '''power set''' is a set of all the subsets of some set.
+
In [[set theory]], a '''power set''' is a [[set]] of all the [[subset]]s of some set.
  
 
==Mathematical Definition==
 
==Mathematical Definition==
 
Let A be a set. The power set of A is the set whose elements are the subsets of A.
 
Let A be a set. The power set of A is the set whose elements are the subsets of A.
 +
 +
Ƥ(A) = {B:B⊆A}
  
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]

Latest revision as of 19:08, February 6, 2011

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

Mathematical Definition

Let A be a set. The power set of A is the set whose elements are the subsets of A.

Ƥ(A) = {B:B⊆A}