User:Foxjwill
Curvy Area
For some curve parametrized by , the Frenet frame is defined as . The Curvy Area is then defined as
\[\def\proj{\mathop{\rm proj}\nolimits} A = {\int_{t_1}^{t_2} {\int_{t_1}^{t_2}\left [ {\proj_{W(v)} \left( \mathbf{r}(u) - \mathbf{r}(v) \right)\right ] du}dv}\] (Error compiling LaTeX. Unknown error_msg)
\[A = {\int_{t_1}^{t_2} {\int_{t_1}^{t_2}\left [ {\mathrm{proj}_{W(v)} \left( \mathbf{r}(u) - \mathbf{r}(v) \right)\right ] du}dv}\] (Error compiling LaTeX. Unknown error_msg)
limit test thingy
\[\def\proj{\mathop{\rm proj}\nolimits} \proj_W x\] (Error compiling LaTeX. Unknown error_msg)