In abstract algebra, the biquaternions are the numbers w + x i + y j + z k, where w, x, y, and z are complex numbers, or variants thereof, and the elements...
23 KB (3,234 words) - 01:51, 9 May 2024
In mathematics, a split-biquaternion is a hypercomplex number of the form q = w + x i + y j + z k , {\displaystyle q=w+x\mathrm {i} +y\mathrm {j} +z\mathrm...
9 KB (1,074 words) - 06:16, 26 June 2024
In mathematics, a biquaternion algebra is a compound of quaternion algebras over a field. The biquaternions of William Rowan Hamilton (1844) and the related...
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Dual quaternion (redirect from Study biquaternion)
Waerden called the structure "Study biquaternions", one of three eight-dimensional algebras referred to as biquaternions. In 1895, Russian mathematician Aleksandr...
31 KB (4,774 words) - 19:01, 9 August 2024
integers. A classical example of an algebra over its center is the split-biquaternion algebra, which is isomorphic to H × H {\displaystyle \mathbb {H} \times...
22 KB (2,935 words) - 02:08, 13 August 2024
which included presentation of biquaternions. The following passage from page 673 shows how Hamilton uses biquaternion algebra and vectors from quaternions...
19 KB (2,624 words) - 23:31, 22 June 2024
effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...
222 KB (22,380 words) - 02:27, 16 August 2024
effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...
93 KB (12,022 words) - 10:17, 9 August 2024
Eight-dimensional space (section Biquaternions)
quaternions C ⊗ H {\displaystyle \mathbb {C} \otimes \mathbb {H} } , or "biquaternions," are an eight-dimensional algebra dating to William Rowan Hamilton's...
7 KB (718 words) - 02:52, 3 July 2022
effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...
164 KB (18,504 words) - 16:11, 15 August 2024