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# Def/Ordered tuple

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Definition of Ordered tuple: Suppose that $X$ is a set. If $x,y \in X$, then one may form the ordered pair $(x,y)$. Similarly, if $x,y,z \in X$, one may form an ordered triple $(x,y,z)$, and if $x,y,z,w \in X$, one may form an ordered quadruple $(x,y,z,w)$, et cetera.

Formally, if $n \in \NN$, one may view an ordered $n$-tuple, as a finite sequence of length $n$.

## Logical Connections

This definition logically relies on the following definitions and statements: Def/Ordered pair, Def/Finite sequence

The following statements and definitions logically rely on the material of this page: Def/Vector space, and Struct/The max-plus algebra of natural numbers

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