Tuple

In mathematics, a tuple is a finite sequence of objects. Sometimes, the finite sequence is also called an ordered list. This means that the order of the objects matter. In a tuple, the objects are either enclosed within parentheses (such as ${\displaystyle (1,2)}$), or within angle brackets (such as ${\displaystyle \langle 1,2\rangle }$). Each of the objects in the list has a certain type. A tuple consisting of n entries is called an n-tuple. Tuples are used to describe mathematical objects that are made of certain, well-defined components. They are also used very frequently with databases. Tuples are different from sets:

• A certain element can be in a tuple more than once.
• The order in which the elements appear in a tuple is important.

In other words, tuples are like ordered multisets.

Related pages

• Relation (mathematics)
• Tuple names

References

1. ↑ "List of Arithmetic and Common Math Symbols". Math Vault. 2020-03-17. Retrieved 2020-09-23.
2. ↑ "Tuple - Encyclopedia of Mathematics". encyclopediaofmath.org. Archived from the original on 2021-05-17. Retrieved 2020-09-23.
3. ↑ Weisstein, Eric W. "n-Tuple". mathworld.wolfram.com. Retrieved 2020-09-23.

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