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...

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...

In mathematics, a biquaternion algebra is a compound of quaternion algebras over a field. The biquaternions of William Rowan Hamilton (1844) and the related...

Waerden called the structure "Study biquaternions", one of three eight-dimensional algebras referred to as biquaternions. In 1895, Russian mathematician Aleksandr...

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...

which included presentation of biquaternions. The following passage from page 673 shows how Hamilton uses biquaternion algebra and vectors from quaternions...

effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...

effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...

quaternions C ⊗ H {\displaystyle \mathbb {C} \otimes \mathbb {H} } , or "biquaternions," are an eight-dimensional algebra dating to William Rowan Hamilton's...

effect Thomas precession Ladder paradox Twin paradox Terrell rotation Spacetime Light cone World line Minkowski diagram Biquaternions Minkowski space...