spatial rotation in a sentence

Examples

1. By way of contrast he notes that Felix Klein appears not to look beyond the theory of Quaternions and spatial rotation.
2. In the case of spatial rotations, SO ( 3 ) is topologically equivalent to three-dimensional real projective space,.
3. Note that the GEM equations are invariant under translations and spatial rotations, just not under boosts and more general curvilinear transformations.
4. Hence a selective merge of say, just the definition, to Versor or Quaternions and spatial rotation is an obvious alternative to deletion.
5. An example of the three parameters that specify a spatial rotation are the roll, pitch and yaw angles used to define the orientation of an aircraft.
6. There's an article on quaternions and spatial rotation which may be helpful .-- talk ) 20 : 41, 6 March 2008 ( UTC)
7. Very similar formulas can be found in the article on quaternions and spatial rotations, which covers this from a purely mathematical viewpoint but does not cover electromagnetism.
8. There is a natural 2-to-1 homomorphism from the group of unit quaternions to the 3-dimensional rotation group described at quaternions and spatial rotations.
9. In mathematical terms, a Lorentz transformation can be separated into the product of a spatial rotation and a " proper " Lorentz transformation which involves no spatial rotation.
10. In mathematical terms, a Lorentz transformation can be separated into the product of a spatial rotation and a " proper " Lorentz transformation which involves no spatial rotation.