Rida T. Farouki, Satoshi Hamaguchi, et al.
Physical Review A
Paper
Real rational curves are not 'unit speed'
Abstract
We prove that it is impossible to parameterize any real plane curve, other than a straight line, by rational functions of its arc length. The proof extends in a straightforward manner to real space curves of any dimension d ≥ 3. © 1991.
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