regular smooth curve - Penn Math
regular smooth curve - Penn Math
regular smooth curve - Penn Math
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If �: [a, b] � R 2 is a <strong>regular</strong> closed <strong>curve</strong> in the plane,<br />
parametrized by arc length, then its total curvature is<br />
defined by the integral<br />
b<br />
Total curvature = �a �(s) ds .<br />
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