Definition of Quaternions. Meaning of Quaternions. Synonyms of Quaternions

- The algebra of quaternions is often denoted by H (for Hamilton), or in blackboard bold by H . {\displaystyle \mathbb {H} .} Quaternions are not a field...
- texture analysis. When used to represent rotation, unit quaternions are also called rotation quaternions as they represent the 3D rotation group. When used...
- (double-headed eagle). The so-called imperial quaternions (German: Quaternionen der Reichsverf****ung, lit. 'quaternions of the imperial constitution'; from Latin:...
- quaternion in Wiktionary, the free dictionary. The quaternions form a number system that extends the complex numbers. Quaternion rotation Quaternion group...
- In mathematics, the dual quaternions are an 8-dimensional real algebra isomorphic to the tensor product of the quaternions and the dual numbers. Thus...
- Bench of the Rhine. The so-called imperial quaternions (German: Quaternionen der Reichsverf****ung "quaternions of the imperial constitution"; from Latin...
- angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented...
- of lectures at Lehigh University in 1900. Like the quaternions, the set of hyperbolic quaternions form a vector space over the real numbers of dimension...
- is closed under quaternion multiplication and addition, which makes it a subring of the ring of all quaternions H. Hurwitz quaternions were introduced...
- realized as a subset of the split-quaternions in the same way that Q8 can be viewed as a subset of the quaternions. The Cayley table (multiplication table)...