octonion

Noun

Meaning

octonion (plural octonions)

(mathematics) An 8-dimensional nonassociative extension of a quaternion with a real part and 7 imaginary parts (each a real multiple of a distinct square root of −1).

Anagrams

Examples

If the ∗ is forced to be equal to the identity then the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table. Source: Internet

Instead there are many different cross products, each one dependent on the choice of octonion product. Source: Internet

The irreducible integral octonions are exactly those of prime norm, and every integral octonion can be written as a product of irreducible octonions. Source: Internet

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