A curve is said to be piecewise smooth if each component of has a bounded derivative which is continuous everywhere in except (possibly) at a finite number of points at which left- and right-sided derivatives exist.
Every piecewise smooth curve is rectifiable.
Every rectifiable curve can be approximated by piecewise smooth curves.
|Date of creation||2013-03-22 12:53:26|
|Last modified on||2013-03-22 12:53:26|
|Last modified by||cvalente (11260)|