Assertion: abelian group's element | /r/HasProperty | rotation
Facets:
value: about a uniquely defined axis
type: OTHER
Source sentences:
text: The special case of n = 3 is known as Euler's rotation theorem, which asserts that every (non-identity) element of SO(3) is a rotation about a uniquely defined axis.
text: Here, the element is termed the rotation or the generator of the cyclic piece and is termed the reflection.
text: The first n listed elements are rotations and the remaining n elements are axis-reflections (all of which have order 2).