\begin{definition}[Definition:Basis Element]
Let $S^n$ be a cartesian space.
An element $s \in S$ is known as a '''basis element of $S^n$'''.
Alternatively, let the ordered tuple $X = \left({x_1, x_2, \ldots, x_n}\right)$ be any element of $S^n$.
Let $x_j \in \left({x_1, x_2, \ldots, x_n}\right)$.
Then $x_j$ is a '''basis element of $S^n$'''.
Category:Definitions/Set Theory
\end{definition}