In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton...
96 KB (12,654 words) - 08:09, 19 July 2024
Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three...
67 KB (11,557 words) - 15:38, 29 July 2024
angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented...
17 KB (3,316 words) - 05:32, 1 July 2024
The Quaternion Eagle[needs IPA] (German: Quaternionenadler; Italian: aquila quaternione), also known as the Imperial Quaternion Eagle (German: Quaternionen-Reichsadler)...
10 KB (1,040 words) - 01:06, 5 August 2024
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
quaternion in Wiktionary, the free dictionary. The quaternions form a number system that extends the complex numbers. Quaternion rotation Quaternion group...
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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) - 08:50, 20 June 2024
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) - 00:14, 14 July 2024
Quaternion is a poetry style in which the theme is divided into four parts. Each part of a quaternion explores the complementary natures of the theme...
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In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the form q = a + b i + c...
14 KB (2,107 words) - 03:10, 19 April 2024