- In
abstract algebra, the
trigintaduonions, also
known as the 32-ions, 32-nions, 25-nions, or
sometimes pathions ( P {\displaystyle \mathbb {P} } ), form...
-
Dimension 32 (
trigintaduonion)". arXiv:0907.2047v3 [math.RA]. Cariow, A.; Cariowa, G. (2014). "An
algorithm for
multiplication of
trigintaduonions". Journal...
-
dimensions Sedenion 26
dimensions Bosonic string theory 32
dimensions Trigintaduonion Higher dimensions Vector space Plane of
rotation Curse of dimensionality...
- examples, see
Octonion § Multiplication,
Sedenion § Multiplication, and
Trigintaduonion § Multiplication.
Mokkan discovered at Heijō
Palace suggest that the...
- {\displaystyle \mathbb {S} } , in turn a
subset of the 32-dimensional
trigintaduonions T {\displaystyle \mathbb {T} } , and ad
infinitum with 2 n {\displaystyle...
-
symmetric group (Sym(n) is also
written as Sn) or
symmetric algebra. T –
trigintaduonion numbers. tan –
tangent function. (Also
written as tgn, tg.) tanh –...
-
Hyperbolic quaternions Sedenions ( S {\displaystyle \mathbb {S} } )
Trigintaduonions ( T {\displaystyle \mathbb {T} } ) Split-biquaternions Multicomplex...
- of
dimension 8 or greater,
including the octonions, sedenions, and
trigintaduonions,
multiplication is
generally not ****ociative. In the book Arithmetices...
- then
yields the quaternions, the octonions, the sedenions, and the
trigintaduonions. This
construction turns out to
diminish the
structural properties...
- {\displaystyle \mathbb {O} } ),
sedenions ( S {\displaystyle \mathbb {S} } ),
trigintaduonions ( T {\displaystyle \mathbb {T} } ), and
other hypercomplex numbers...
