Definition of Sedenions. Meaning of Sedenions. Synonyms of Sedenions

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Definition of Sedenions

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Meaning of Sedenions from wikipedia

- of the sedenions. Unlike the octonions, the sedenions are not an alternative algebra. Applying the Cayley–****son construction to the sedenions yields...
- index of 84), and 48. There are 84 zero divisors in the 16-dimensional sedenions S{\displaystyle \mathbb {S} }. Messier object M84, a magnitude 11.0 lenticular...
- Applying the Cayley–****son construction to the octonions produces the sedenions. The octonions were discovered in 1843 by John T. Graves, inspired by...
- four-dimensional quaternions, eight-dimensional octonions, and 16-dimensional sedenions. An algebraic symmetry is lost with each increase in dimensionality: quaternion...
- form homeomorphic to the zero divisors with entries of unit norm in the sedenions, S{\displaystyle \mathbb {S} }. The floor of the imaginary part of the...
- are alternative and power-****ociative, while the sedenions are only power-****ociative. The sedenions and all further extensions of these four normed division...
- octonions is called the sedenions. It retains an algebraic property called power ****ociativity, meaning that if s is a sedenion, snsm = sn + m, but loses...
- multiplication is not ****ociative in addition to not being commutative, and the sedenions, in which multiplication is not alternative, neither ****ociative nor commutative...
- by 7 matrix of only zeroes and ones is 32. In sixteen dimensions, the sedenions generate a non-commutative loop SL{\displaystyle \mathbb {S} _{L}} of...
- are neither commutative nor ****ociative, e.g. for the multiplication of sedenions, which are not even alternative. In 1954, Richard D. Schafer examined...