Definition of Sedenion. Meaning of Sedenion. Synonyms of Sedenion

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Definition of Sedenion

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Meaning of Sedenion from wikipedia

- In abstract algebra, the sedenions form a 16-dimensional noncommutative and non****ociative algebra over the real numbers, usually represented by the capital...
- 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...
- 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 S L {\displaystyle \mathbb {S} _{L}} of...
- are alternative and power-****ociative, while the sedenions are only power-****ociative. The sedenions and all further extensions of these four normed division...
- represented as a 4‑tuple, an octonion can be represented as an 8‑tuple, and a sedenion can be represented as a 16‑tuple. Although these uses treat ‑uple as the...
- – required to prove. RV – random variable. (Also written as R.V.) S – sedenion numbers. SD – standard deviation. SE – standard error. sec – secant function...
- {\displaystyle \mathbb {C} } then yields the quaternions, the octonions and the sedenions. This construction turns out to diminish the structural properties of...
- U+1D54A 𝕊 Represents a sphere, or the sphere spectrum, or occasionally the sedenions. U+1D564 𝕤 T {\displaystyle \mathbb {T} } U+1D54B 𝕋 Represents the circle...
- octonions are only alternative and power-****ociative. In comparison, the sedenions S {\displaystyle \mathbb {S} } , which represent a fifth algebra in this...