Definition:Coordinate/Also denoted as

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Coordinates: Also denoted as

It is usual to use the subscript technique to denote the coordinates where $n$ is large or unspecified:

$\tuple {x_1, x_2, \ldots, x_n}$

However, note that some texts (often in the fields of physics and mechanics) prefer to use superscripts:

$\tuple {x^1, x^2, \ldots, x^n}$

While this notation is documented here, its use is not endorsed by $\mathsf{Pr} \infty \mathsf{fWiki}$ because:

there exists the all too likely subsequent confusion with notation for powers
one of the philosophical tenets of $\mathsf{Pr} \infty \mathsf{fWiki}$ is to present a system of notatiion that is as completely consistent as possible.