User:Foxjwill

Revision as of 20:01, 6 June 2008 by Foxjwill (talk | contribs) (New page: For some curve <math>C</math> parametrized by <math>\mathbf{r}(t)</math>, the Frenet frame is defined as <math>W=\{u\hat{\mathbf{N}}+ v\hat{\mathbf{T}}: u,v \in \mathbb{R}\}</math>. The C...)
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For some curve $C$ parametrized by $\mathbf{r}(t)$, the Frenet frame is defined as $W=\{u\hat{\mathbf{N}}+ v\hat{\mathbf{T}}: u,v \in \mathbb{R}\}$. The Curvy Area is then defined as

\[A = {\int_{t_1}^{t_2} {\int_{t_1}^{t_2}\left [ {\mathrm{proj}_{W(v)} \left( \mathbf{r}(u)
 - \mathbf{r}(v) \right)\right ] du}dv}\] (Error compiling LaTeX. Unknown error_msg)