Tuple

Definition

A tuple is a (potentially) mixed type vector of things. However as it may not be in a vector space we do not call it a vector.

Examples

[math](1,2,3,\{a\})[/math] is the tuple of the numbers 1, 2 and 3 and the set [math]\{a\}[/math]

Short hands

• Countably infinite tuples
  • [math](a_n)_{n=1}^\infty[/math]
  • [math](a_1,...)[/math] (using numbers implies countable)
• Finite tuples
  • [math](a_1,...,a_n)[/math]
  • [math](a_i)_{i=1}^n[/math]
• Indexed tuples
  • [math](a_\alpha)_{\alpha\in I}[/math] where [ilmath]I[/ilmath] is the indexing set