Checking saved dictionary data and trusted language sources. This will stop automatically if a source does not respond.
/ɒkˈtəʊ.ni.ən/ · noun
(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)..
According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.
There is no theoretical limit to multispace dimensional numbering as there are definitions for octonion (8D), sedenion (16D), pathion (32D), chingon (64D), routon (128D), and voudon (256D) numbered space.
Use octonion when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Octonion means (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)..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.