Definition of Quaternions. Meaning of Quaternions. Synonyms of Quaternions

Here you will find one or more explanations in English for the word Quaternions. Also in the bottom left of the page several parts of wikipedia pages related to the word Quaternions and, of course, Quaternions synonyms and on the right images related to the word Quaternions.

Definition of Quaternions

Quaternion
Quaternion Qua*ter"ni*on, v. t. To divide into quaternions, files, or companies. --Milton.

Meaning of Quaternions from wikipedia

- 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...
- angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented...
- 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)...
- is closed under quaternion multiplication and addition, which makes it a subring of the ring of all quaternions H. Hurwitz quaternions were introduced...
- Bench of the Rhine. The so-called imperial quaternions (German: Quaternionen der Reichsverf****ung "quaternions of the imperial constitution"; from Latin...
- In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were...
- a quaternion algebra can be seen as a generalization of Hamilton's quaternions to an arbitrary base field. The Hamilton quaternions are a quaternion algebra...