- coefficients.
There are
three types of
biquaternions corresponding to
complex numbers and the
variations thereof:
Biquaternions when the
coefficients are complex...
- split-
biquaternions should not be
confused with the (ordinary)
biquaternions previously introduced by
William Rowan Hamilton. Hamilton's
biquaternions are...
- In mathematics, a
biquaternion algebra is a
compound of
quaternion algebras over a field. The
biquaternions of
William Rowan Hamilton (1844) and the related...
- century,
number systems called quaternions, tessarines, coquaternions,
biquaternions, and
octonions became established concepts in
mathematical literature...
-
Waerden called the
structure "Study
biquaternions", one of
three eight-dimensional
algebras referred to as
biquaternions. In 1895,
Russian mathematician Aleksandr...
-
which included presentation of
biquaternions. The
following p****age from page 673
shows how
Hamilton uses
biquaternion algebra and
vectors from quaternions...
-
Lectures on Quaternions, a
comprehensive treatise that also
described biquaternions. The
facility of the
algebra in
expressing geometric relationships led...
-
quaternions C ⊗ H {\displaystyle \mathbb {C} \otimes \mathbb {H} } , or "
biquaternions," are an eight-dimensional
algebra dating to
William Rowan Hamilton's...
- construction, the
split algebras arise in the
series bicomplex numbers,
biquaternions, and bioctonions,
which uses the
complex number field C {\displaystyle...
-
proponent of dual quaternions,
which he
termed "octonions" or "Clifford
biquaternions".
McAulay was born on 9
December 1863 and
attended Kingswood School...
