Mathematics-Online lexicon: Rotation

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	Mathematics-Online lexicon:
	Rotation

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A rotation in $\mathbb{R}^n$ by angle $\vartheta$ in the

-plane can be described by the matrix

$\displaystyle \begin{array}{lr} \\ \\ \mathrm{row}\ j & \to \\ \\ \mat... ...& \\ && s && c && \\ &&&&& \ddots & \\ 0 &&&&&& 1 \end{array}\right)=R$

where $c=\cos(\vartheta)$ , $s=\sin(\vartheta)$ .

(Authors: App/Burkhardt/Höllig)

Example:

automatically generated 2/10/2005