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octonion — latest news, discussion & facts — IJR

octonion

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octonion

non-commutative, non-associative algebra of numbers with eight real components

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About octonion

In mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented by the capital letter O, using boldface O or blackboard bold . Octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension. They are noncommutative and nonassociative, but satisfy weaker forms of associativity; they are alternative and power associative.

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Facts from Wikidata (CC0). Image by USKO LAHTI via Wikimedia Commons (CC BY-SA 4.0).