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permutation Definition

per·mu·ta·tion (pʉr′myo̵̅o̅ tā′s̸hən)

noun

  1. any radical alteration; total transformation
    1. a complete rearrangement, esp. by interchanging
    2. Math. any of the total number of groupings, or subsets, into which a group, or set, of elements can be arranged in a particular order: the permutations of A, B, and C taken two at a time are AB, BA, AC, CA, BC, CB

Etymology: ME permutacion < MFr < L permutatio < permutare: see permute

permutation Related Forms
per′·mu·ta′·tional adjective
permutation Synonyms

permutation

n.

alteration, transformation, shift; see change 2.

permutation Usage Examples

Converse of object

  • generate: These important factors combine to generate a permutation of approximately a million different profiles.
  • explore: The composer likened the piece to a painting " as it explores the many permutations and colors of sound.
  • try: She recently lost her soul to a Markov Chain and is trying endless permutations and recombinations in order to get it back.

Adjective modifier

  • cyclic: Solution method: In the case of distinct objects there exists the methods of group theory based upon cyclic permutations.
  • endless: Scope There are endless permutations to the way Emmaus material can be used: The simplest option is to run just the Nurture courses.
  • random: In a permutation scan, all worms share a common pseudo random permutation of the IP address space.
  • various: A split sample approach is used to test the impact of the various permutations of the above.
  • possible: For two hours, every possible permutation of family or friends was snapped in a variety of locations.
  • numerous: There are numerous permutations to be taken into account, sight being one factor.

Preposition: on

  • point: Basically I often forget to use; ; and get 60 permutations on 300 points scrolling past.

Modifies a noun

  • perm: If the second argument is a permutation perm then the classes of the result are sorted by application of this permutation.
  • matrix: The determinant of a permutation matrix equals the signature of the column permutation.
  • representation: Examples First we access a permutation representation for the alternating group A 5.
  • group: Take for example a permutation group of size a few millions.
  • test: Two distinct causes may be invoked: the permutation test or the clustering method.
  • entry: In this event total stakes on permutation entries are applied in full to the remaining races.

Preposition: of

  • column: Two rows of mat belong to the same family if there is a permutation of columns that maps one row to the other row.
  • element: The 256 permutations of the four elements in four positions can be put into fifteen categories.
  • word: Honestly, no pop lyricist would get away with so many permutations of so few words.

Noun used with modifier

  • column: The determinant of a permutation matrix equals the signature of the column permutation.