𝑛-tuple
Sign in to saveAlso known as tuple, ordered tuplet, ordered list, ordered n-tuple, n-tuple
In mathematics, a tuple is a finite sequence (or ordered list) of numbers. More generally, it is a sequence of mathematical objects, called the elements of the tuple. An -tuple is a tuple of elements, where is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are commonly called a singleton and an ordered pair, respectively. The term "infinite tuple" is occasionally used for "infinite sequences".
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Article
13 sectionsContents
- Etymology
- Properties
- Definitions
- Tuples as functions
- Tuples as nested ordered pairs
- Tuples as nested sets
- {{anchor|n-tuple}}{{math|''n''}}-tuples of {{math|''m''}}-sets
- Type theory
- See also
- Notes
- References
- Sources
- External links
In mathematics, a tuple is a finite sequence (or ordered list) of numbers. More generally, it is a sequence of mathematical objects, called the elements of the tuple. An -tuple is a tuple of elements, where is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are commonly called a singleton and an ordered pair, respectively. The term "infinite tuple" is occasionally used for "infinite sequences".
Tuples are usually written by listing the elements within parentheses "" and separated by commas; for example, denotes a 5-tuple. Other types of brackets are sometimes used, although they may have a different meaning.