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

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Somos todos Condenados à Liberdade
Jean Paul Sartre
< Regularity | Determinant | Evolutes >
  • Velocity Normal:
    [; \widehat{ \underline{r} }'(t) = \underline{j}-\lambda \underline{q}(t) ;]
  • Determinant:
    [; D(t)= \widehat{ \underline{r} }'(t) \cdot \underline{r} }''(t) =r^2 \lambda(\lambda-\cos{t}) ;]
  • Zeroes:
    • [;0 < \lambda <1: Two;]
    • [;\lambda=1: One;]
    • [;\lambda>1: None;]
  • Curvature Factor
    [; \varphi(t)= \frac{ v(t)^2(t) }{ D(t) } = \frac{ 1+\lambda^2-2 \lambda \cos{t} }{ \lambda(\cos{t}-\lambda) } ;]
  • [; \varphi(t)=const \quad \Leftrightarrow \quad \lambda=1 ;]
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