1. Unlike the quaternion algebra, the split-quaternions contain nontrivial zero divisors, nilpotent elements, and idempotents.

2. Only unit quaternions represent rotations, so normalize your quaternions if you have to.

3. The attitude kinematics and dynamics are both described by error quaternions.

4. Examples of noncommutative rings include matrices and quaternions.

5. Vector is a useless survival, or offshoot from quaternions.

6. Biped uses Quaternion rotation to control an animation in the Curve Editor by default

7. In order to program them, you have to understand six-dimensional vectors and quaternions.

8. Only the functions 'sqr ' and 'cube ' are defined in the quaternion algebra

9. The generalized quaternion groups have the property that every abelian subgroup is cyclic.

10. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields

11. In order to program them, you have to understand six- dimensional vectors and quaternions.

12. The 'Complex projective contact manifolds' (Contact manifolds) project is working to classify complex projective contact Fano manifolds and quaternion-Kähler manifolds with positive scalar curvature.

13. In pure mathematics, quaternions show up significantly as one of the four finite-dimensional normed division algebras over the real numbers, with applications throughout algebra and geometry.

14. Considered with the operations of component-wise addition, and multiplication according to the quaternion group, this collection forms a 4-dimensional algebra over the complex numbers C.

15. Acts 12:4 View whole chapter See verse in context And when he had Apprehended him, he put him in prison, and delivered him to four quaternions of soldiers to keep him; intending after Easter to bring him forth to the people

16. ‘Fermat preferred the Algebraic techniques that he used to such devastating effect in number theory.’ ‘His work in Algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.’ ‘This gave powerful results such as a purely Algebraic proof of the Riemann Roch theorem.’