SmtC: Show me the Code
Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br

Curves
Vive como se fosse morrer amanhã.
Estude como se fosse viver para sempre.
Einstein
< 2nd Order | Fixed Length Vectors | PooPy Curves >
  • Fixed Length Vector:
    [; \underline{r}(t) \cdot \underline{r}(t)=c ;]
  • Deriving:
    [; \underline{r}(t) \cdot \underline{r}'(t)=0 \qquad\Leftrightarrow\quad \underline{r}(t) \perp \underline{r}'(t) ;]
  • Circle....
  • Rotation Vectors:
    [; \underline{e}(t) = \left( \begin{array}{c} \cos{t}\\\sin{t} \end{array} \right) \qquad \underline{f}(t) =\left( \begin{array}{c} -\sin{t}\\\cos{t} \end{array} \right) ;]
  • Hats & Derivatives:
    [; \underline{f}(t) =\underline{e}'(t)=\underline{ \widehat{e} }(t) \qquad \underline{f}'(t) =\underline{ \widehat{f} }(t) =-\underline{e}(t) ;]
< 2nd Order | Fixed Length Vectors | PooPy Curves >
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