Power set

English

Alternative forms

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Noun

1. Template:Lb The set whose elements comprise all the subsets of S (including the empty set and S itself).

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Usage notes

Denoted using the notation P(S) with any one of several fonts for the letter "P" (usually uppercase). Examples include: $𝒫(S)$, $\mathrm{\wp }(S)$ (with the Template:W), $\mathbb{P}(S)$ and 𝒫(S).
An alternative notation is $2^S$, derived from the consideration that a set $T$ in the power set is fully characterised by determining, for each element of $S$, whether it is or is not in $T$.

Derived terms

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Translations

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See also

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Further reading

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