- mathematics, the
octonions are a
normed division algebra over the real numbers, a kind of
hypercomplex number system. The
octonions are
usually represented...
- mathematics, the split-
octonions are an 8-dimensional non****ociative
algebra over the real numbers.
Unlike the
standard octonions, they
contain non-zero...
-
example of an
octonion algebra is the
classical octonions,
which are an
octonion algebra over R, the
field of real numbers. The split-
octonions also form...
- The
Geometry of the
Octonions is a
mathematics book on the
octonions, a
system of
numbers generalizing the
complex numbers and quaternions, presenting...
- of
octonions is even
stranger than that of quaternions;
besides being non-commutative, it is not ****ociative – that is, if p, q, and r are
octonions, it...
-
systems called quaternions, tessarines, coquaternions, biquaternions, and
octonions became established concepts in
mathematical literature,
added to the real...
-
Fixing a
basis (1, i, j, k, ℓ, ℓi, ℓj, ℓk) of unit
octonions, one can
define the
integral octonions as a
maximal order containing this basis. (One must...
- 0&0&2\end{pmatrix}}}
Octonions Clifford algebra G2 John H. Conway;
Derek A.
Smith (23
January 2003). On
Quaternions and
Octonions.
Taylor & Francis....
- the
octonions. The
Cayley plane was
discovered in 1933 by Ruth Moufang, and is
named after Arthur Cayley for his 1845
paper describing the
octonions. In...
- and
quaternions are ****ociative.
Addition of
octonions is also ****ociative, but
multiplication of
octonions is non-****ociative. The
greatest common divisor...
