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...
- octonions is called the sedenions. It retains the algebraic property of power ****ociativity, meaning that if s is a sedenion, snsm = sn + m, but loses...
- trigintaduonions can be obtained by applying the Cayley–****son construction to the sedenions, which can be mathematically expressed as T = C D ( S , 1 ) {\displaystyle...
- multiplication is non-****ociative, and the norm of sedenions is not multiplicative. After the sedenions are the 32-dimensional trigintaduonions (or 32-nions)...
- Applying the Cayley–****son construction to the octonions produces the sedenions. The octonions were discovered in December 1843 by John T. Graves, inspired...
- {\displaystyle \mathbb {C} } then yields the quaternions, the octonions, the sedenions, and the trigintaduonions. This construction turns out to diminish the...
- {\displaystyle 4^{2}} being equal to 4 × 4. {\displaystyle 4\times 4.} The sedenions form a 16-dimensional hypercomplex number system. Sixteen is the base...
- index of 84), and 48. There are 84 zero divisors in the 16-dimensional sedenions S {\displaystyle \mathbb {S} } . Eighty-four is also: The number of years...
- are neither commutative nor ****ociative, e.g. for the multiplication of sedenions, which are not even alternative. In 1954, Richard D. Schafer examined...
- division algebra over the real numbers. The next extension gives the sedenions, which have zero divisors and so cannot be a normed division algebra....