Sedenion - Wikipedia
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers, usually represented by the capital letter S, boldface S or blackboard bold.
Sedenions: algebra and analysis - ScienceDirect
2000年10月27日 · In this paper we denote sedenions by S, T, Z, in bold capital letters, and octonions by capital letters, A, B, X, Y, etc... We define a sedenion, S ≔ (A;B)∈ S, A,B∈ O, as an ordered pair of two real octonions, A and B. The conjugation of S is then defined in terms of Ā, the conjugate of A, and of B by S ≔ (A;−B).
What lies beyond the Sedenions - Mathematics Stack Exchange
If with "beyond" you mean something like "after" the answer is yes: the Cayley-Dickson's construction has no end and you can always extend your number system to a higher dimension one (always with $2^n$ dimensions with $n\in \Bbb N$), after Sedenions $\Bbb S$ come Trigintaduonions $\Bbb T$ which someone say are useful in electrical and computer ...
Sedenions - books.physics.oregonstate.edu
We digress briefly to discuss the sedenions \(\SS\text{,}\) the algebra obtained from the octonions using the Cayley–Dickson process in Section 2.7. The sedenions can be thought of as a pair of octonions, so that
New developments with octonions and sedenions. - Iowa State …
There are a number of currently active research projects involving the octonions, sedenions, and related algebras: J.D. Phillips and P. Vojtechovsky have been classifying Moufang-like identities connecting words of length 4 in three variables. As part of their classification, they have recovered identities originally studied by Fenyves ...
Category:Sedenions - Wikipedia
The sedenions are a nonassociative extension of the octonions. The following 4 pages are in this category, out of 4 total. This list may not reflect recent changes.
Sedenion - scientificlib.com
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the reals obtained by applying the Cayley–Dickson construction to the octonions. The set of sedenions is denoted by \( \mathbb{S} \) .
Circular and hyperbolic quaternions, octonions, and sedenions
1988年10月1日 · Sedenions Mus has exhibited the fact that a 16-dimensional system comprising the elements 1, il to i7, El to E7, and a sixteenth element is possible. This system is called the sedenions after the Latin sedecim, sixteen.
Tribonacci and Tribonacci-Lucas Sedenions - MDPI
In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them. The sedenions form a 16-dimensional Cayley-Dickson algebra.
Sedenions: Algebra and analysis - ResearchGate
2000年10月1日 · The sedenions form a 16-dimensional non-associative and non-commutative algebra over the set of real numbers. In this paper, we introduce the Fibonacci and Lucas sedenions.
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