Suppose γ : [a, b] > C is a continuous function from an interval into the complex plane. This curve γ is called rectifiable if the following supremum is finite:
In an analogous manner (by replacing the absolute value with the Euclidean distance or a norm), one can define rectifiable curves γ : [a, b] > R^{n} and, more generally, γ : [a, b] > V where V is a normed vector space.
Every continuous and piecewise continuously differentiable[?] curve γ is rectifiable, and its length can be computed as the ordinary Riemann integral
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