powerset
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Power set
In
mathematics
, given a
set
S, the power set (or powerset) of S, written , P(S), or 2S, is the set of all
subsets
of S. In
axiomatic set theory
(as developed e.g. in the
ZFC
axioms), the existence of the power set of any set is postulated by the
axiom of power set
. Any
subset
F of is called a
family of sets
over S.
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powerset
<
mathematics
> The powerset of a set S is the set of possible subsets of S, usually written PS.
(1994-11-08)
(c) Copyright 1993 by Denis Howe
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