User:Foxjwill

Revision as of 19:03, 6 June 2008 by Foxjwill (talk | contribs)

Curvy Area

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)

limit test thingy

\[\lim{x\to a}f(x)\]