Difference between revisions of "Tuple"
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==Short hands== | ==Short hands== | ||
| − | * Countably infinite | + | * Countably infinite tuples |
** <math>(a_n)_{n=1}^\infty</math> | ** <math>(a_n)_{n=1}^\infty</math> | ||
** <math>(a_1,...)</math> (using numbers implies countable) | ** <math>(a_1,...)</math> (using numbers implies countable) | ||
Latest revision as of 16:30, 23 August 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
