Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three... 66 KB (11,503 words) - 03:18, 19 April 2024 |
angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented... 16 KB (3,305 words) - 15:51, 28 January 2024 |
In group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset {... 26 KB (3,724 words) - 20:48, 23 December 2023 |
In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half-integers (halves of odd... 8 KB (1,242 words) - 12:04, 5 October 2023 |
In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes a... 10 KB (1,532 words) - 15:42, 21 February 2024 |
quaternion in Wiktionary, the free dictionary. The quaternions form a number system that extends the complex numbers. Quaternion rotation Quaternion group... 638 bytes (108 words) - 04:52, 7 April 2022 |
In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were... 19 KB (2,230 words) - 00:04, 12 March 2024 |
In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They... 22 KB (3,202 words) - 01:53, 4 November 2023 |