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quaternions:definitions

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quaternions:definitions [2020/08/05 23:06] – [Matrices] adminquaternions:definitions [2020/08/06 18:42] – [Identités remarquables et calculs] admin
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 | :::                                 | $\overline{Q}^{-1}=\frac{Q}{\left|Q\right|^{2}}$ | | :::                                 | $\overline{Q}^{-1}=\frac{Q}{\left|Q\right|^{2}}$ |
 | :::                                 | $\left(PQ\right)^{-1}=Q^{-1}P^{-1} $ | | :::                                 | $\left(PQ\right)^{-1}=Q^{-1}P^{-1} $ |
-| exponentiation                      | $\exp(Q)=e^{\mathbb{S}(Q)}\left(\cos(\mathbb{V}(Q))+\frac{\mathbb{V}(Q)}{|\mathbb{V}(Q)|}\sin(\mathbb{V}(Q))\right) $ |+| exponentiation                      | $\exp(Q)=e^{\mathbb{S}(Q)}\left(\cos(|\mathbb{V}(Q)|)+\frac{\mathbb{V}(Q)}{|\mathbb{V}(Q)|}\sin(|\mathbb{V}(Q)|)\right) $ |
  
  
quaternions/definitions.txt · Last modified: 2023/11/01 14:44 by 127.0.0.1