# Symbols:P/Power Set

## 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 .