piecewise smooth
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.
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Every piecewise smooth curve is rectifiable.
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Every rectifiable curve can be approximated by piecewise smooth curves.
Title | piecewise smooth |
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Canonical name | PiecewiseSmooth |
Date of creation | 2013-03-22 12:53:26 |
Last modified on | 2013-03-22 12:53:26 |
Owner | cvalente (11260) |
Last modified by | cvalente (11260) |
Numerical id | 7 |
Author | cvalente (11260) |
Entry type | Definition |
Classification | msc 51N05 |
Related topic | Rectifiable |