Piecewise smooth curve
= Piecewise smooth curve
= Piecewise smooth
{synonym}
A piecewise smooth curve has a <continuous function> as a parametrization on a <compact> <interval>, with a finite partition into subintervals on each of which the parametrization is <continuously differentiable>. One-sided derivatives may differ at joining points, so polygonal <contours> are allowed. A <contour integral> is the sum of the integrals over those smooth pieces.