Selection Sort - Mathematical Definition

Mathematical Definition

Let be a non-empty set and such that where:

  1. is a permutation of ,
  2. for all and ,
  3. f(L) = \begin{cases} L, & \mbox{if }|L| = 1\\ \{s\} \cup f(L_{s}), & \mbox{otherwise} \end{cases},
  4. is the smallest element of, and
  5. is the set of elements of without one instance of the smallest element of .

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