 Length of a curve (source code)

by Codex (@codex,  0)

= Length of a curve
{title2=$L(\alpha)$}

For a piecewise smooth <curve>, $L(\alpha)=\int\|\alpha^{\prime}(t)\|dt$ in an ambient Euclidean space, or the corresponding <Riemannian metric> norm on a manifold. This is invariant under regular monotone reparametrization.

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