- 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 p****age 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...
-
involution to
begin the Cayley–****son
constructions leading to bicomplex,
biquaternion, and
bioctonion composition algebras. On
complex numbers, the square...
-
Quaternions Hamilton defines a
biquaternion to be a
quaternion with
complex number coefficients. The
scalar part of a
biquaternion is then a
complex number...
