spatial rotation वाक्य
उदाहरण वाक्य
मोबाइल
- Spatial rotations alone are also Lorentz transformations they leave the spacetime interval invariant.
- For the kinematics of rotation in three dimensions, see quaternions and spatial rotation.
- In representation theory, this corresponds to decomposing perturbations under the group of spatial rotations.
- Thus quaternions are a preferred method for representing spatial rotations see quaternions and spatial rotation.
- Thus quaternions are a preferred method for representing spatial rotations see quaternions and spatial rotation.
- It is, in fact, already the subject of the article quaternions and spatial rotation.
- That is to say, any spatial rotation can be decomposed into a combination of principal rotations.
- :: Quaternions are used to represent rotations in 3D and 4D space-see Quaternions and spatial rotation.
- It is true that spatial rotations always mix two space dimensions and never mix the time with a apatial dimension.
- The map from unit quaternions to rotations of 3D space described in quaternions and spatial rotation is also a universal cover.
- By way of contrast he notes that Felix Klein appears not to look beyond the theory of Quaternions and spatial rotation.
- In the case of spatial rotations, SO ( 3 ) is topologically equivalent to three-dimensional real projective space,.
- Note that the GEM equations are invariant under translations and spatial rotations, just not under boosts and more general curvilinear transformations.
- Hence a selective merge of say, just the definition, to Versor or Quaternions and spatial rotation is an obvious alternative to deletion.
- 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.
- There's an article on quaternions and spatial rotation which may be helpful .-- talk ) 20 : 41, 6 March 2008 ( UTC)
- 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.
- 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.
- 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.
- 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.
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