# Symbols:P/Power Set

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## Power Set

$\powerset S$ is the power set of the set $S$.

It is defined as:

- $\powerset S = \set {T: T \subseteq S}$

$\map {\mathfrak P} S$ is an alternative notation, but the *fraktur* font, of which $\mathfrak P$ is an example, is falling out of use, probably as a result of its difficulty in being both read and written.

The $\LaTeX$ code for \(\powerset S\) is `\powerset S`

.

The $\LaTeX$ code for \(\map {\mathfrak P} S\) is `\map {\mathfrak P} S`

.