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A script capital P applied to a set, naming all of its subsets.
Also known as: Power set, Set of all subsets
Sometimes confused with: Weierstrass p
Power set notation names the set of every subset of a given set, including the empty set and the set itself. A set of n elements has a power set of two to the n, which is where the name comes from and is the fact a reader most often wants.
Denotes the set whose members are all the subsets of the given set, the empty set and the whole set included.
Contexts: Mathematics
Has size two raised to the number of elements of the original set, which is the reason for the word 'power'.
Contexts: Mathematics
Is written with a script or blackboard capital P, and in some German-influenced texts with a Fraktur or an italic capital P instead.
Contexts: Mathematics
An ornate script capital letter P with a looped bowl, followed by a set name in round brackets.