regular smooth curve - Penn Math
regular smooth curve - Penn Math
regular smooth curve - Penn Math
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Where are we so far?<br />
We have proved that, given <strong>smooth</strong> functions �(s) > 0<br />
and �(s) defined for all s � I , and an orthonormal<br />
frame T(s0) , N(s0) , B(s0) defined for some s0 � I ,<br />
then there is a unique orthonormal frame T(s) , N(s) , B(s)<br />
defined for all s � I with these preassigned initial values,<br />
and satisfying the Frenet equations throughout I .<br />
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