Difference between revisions of "Tuple"

From Maths
Jump to: navigation, search
(Created page with "==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== <m...")
 
m
Line 14: Line 14:
 
* 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]]
 +
 +
{{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

[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