Difference between revisions of "Tuple"

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* Indexed tuples
 
* Indexed tuples
 
** <math>(a_\alpha)_{\alpha\in I}</math> where {{M|I}} is the [[Indexing set|indexing set]]
 
** <math>(a_\alpha)_{\alpha\in I}</math> where {{M|I}} is the [[Indexing set|indexing set]]
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{{Definition}}

Revision as of 00:25, 1 March 2015

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

(1,2,3,{a})

is the tuple of the numbers 1, 2 and 3 and the set {a}

Short hands

  • Countably infinite tuples
    • (an)n=1
    • (a1,...)
      (using numbers implies countable)
  • Finite tuples
    • (a1,...,an)
    • (ai)ni=1
  • Indexed tuples
    • (aα)αI
      where I is the indexing set