Abstract
We introduce and discuss the concept of directed curve in \({\mathbb R}^n\). We obtain a formula for the length of a curve, prove the existence of unit speed parametrizations and define piecewise smooth curves.
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© 2014 Springer-Verlag London
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Dineen, S. (2014). Curves in \({\mathbb {R}}^n\) . In: Multivariate Calculus and Geometry. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-6419-7_5
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DOI: https://doi.org/10.1007/978-1-4471-6419-7_5
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Publisher Name: Springer, London
Print ISBN: 978-1-4471-6418-0
Online ISBN: 978-1-4471-6419-7
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