Indexed Family - Examples

Examples

Let n be the finite set {1, 2, …, n}, where n is a positive integer.

  • An ordered pair is a family indexed by the two element set 2 = {1, 2}.
  • An n-tuple is a family indexed by n.
  • An infinite sequence is a family indexed by the natural numbers.
  • A list is an n-tuple for an unspecified n, or an infinite sequence.
  • An n×m matrix is a family indexed by the cartesian product n×m.
  • A net is a family indexed by a directed set.

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