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permutation

Change of ordering in a (mathematical) set

Entitymathematical conceptinteger-valued functionunary functionQ161519

Also known as arrangement · rearrangement · shuffle

Instance of
Subclass of

Overview

All data

45 statements · 13% with external sources · numbers in brackets are citations

Defining formula
  • \sigma: \{1, 2, \ldots, n\} \rightarrow \{1, 2, \ldots, n\}
  • \sigma : \begin{pmatrix} 1 & 2 & \dots & n \\ \sigma_1 & \sigma_2 & \dots & \sigma_n\end{pmatrix}
  • P_n=n!
Has effect
Different from
Disjoint union of
Has characteristic
Studied by
Facet of

On other databases

30 identifiers linking permutation across the web's reference databases