SmtC: Show me the Code
Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br
Vectors
- Vector Class
- Operator Overload
- Add
- Subtract
- Multiply
- Utilities
-
Notables*
Liberdade é um prato facil de comer.
Mas deficil de digerir
Mas deficil de digerir
Jean-Jaques Rousseau
< Utilities
| Notables |
Functions >
- Rotate vector [; \underline{i} ;], respectively [; \underline{j}=\widehat{\underline{i}} ;], angle θ:
[; \underline{e}(\theta)=\left( \begin{array}{c} \cos{\theta} \\ \sin{\theta} \end{array} \right) \quad \underline{f}(\theta)=\left( \begin{array}{c} -\sin{\theta} \\ \cos{\theta} \end{array} \right) = \widehat{\underline{e}}(\theta) ;] [; \underline{e}'(\theta)= \widehat{\underline{e}}(\theta)=\underline{f}(\theta) ;]
[; \underline{f}'(\theta)=-\widehat{\underline{f}}(\theta)=-\underline{e}(\theta) ;]
- [; (\underline{e}(\theta),\underline{f}(\theta) ;] forms a Basis
- Another Basis:
[; \underline{p}(\theta)=\left( \begin{array}{c} \cos{\theta} \\ -\sin{\theta} \end{array} \right) \quad \underline{q}(\theta)=\left( \begin{array}{c} \sin{\theta} \\ \cos{\theta} \end{array} \right) = \widehat{\underline{e}}(\theta) ;] [; \underline{p}'(\theta)= \widehat{\underline{p}}(\theta)=\underline{q}(\theta) ;]
[; \underline{q}'(\theta)=-\widehat{\underline{q}}(\theta)=-\underline{p}(\theta) ;]
< Utilities
| Notables |
Functions >
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