- In
abstract algebra, the
trigintaduonions, also
known as the 32-ions, 32-nions, 25-nions, or
sometimes pathions ( P {\displaystyle \mathbb {P} } ), form...
-
composition algebra. The
algebra immediately following the
sedenions is the
trigintaduonions,
which form a 32-dimensional
algebra over the real
numbers and can...
-
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...
-
Hyperbolic quaternions Sedenions ( S {\displaystyle \mathbb {S} } )
Trigintaduonions ( T {\displaystyle \mathbb {T} } ) Split-biquaternions Multicomplex...
-
symmetric group (Sym(n) is also
written as Sn) or
symmetric algebra. T –
trigintaduonion numbers. tan –
tangent function. (Also
written as tgn, tg.) tanh –...
- of
dimension 8 or greater,
including the octonions, sedenions, and
trigintaduonions,
multiplication is
generally not ****ociative. In the book Arithmetices...
- is not multiplicative.
After the
sedenions are the 32-dimensional
trigintaduonions (or 32-nions), the 64-dimensional ****agintaquatronions (or 64-nions)...
- then
yields the quaternions, the octonions, the sedenions, and the
trigintaduonions. This
construction turns out to
diminish the
structural properties...
