octonion
Hello, you have come here looking for the meaning of the word octonion. In DICTIOUS you will not only get to know all the dictionary meanings for the word octonion, but we will also tell you about its etymology, its characteristics and you will know how to say octonion in singular and plural. Everything you need to know about the word octonion you have here. The definition of the word octonion will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofoctonion, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Etymology
Blend of Latin octō (“eight”) + quaternion.
Noun
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).
- 2022, Zlatka Valkova-Jarvis, Vladimir Poulkov, Viktor Stoynov, Dimitriya Mihaylova, Georgi Iliev, “A Method for the Design of Bicomplex Orthogonal DSP Algorithms for Applications in Intelligent Radio Access Networks”, in Symmetry, volume 14, number 3, MDPI AG, , →ISSN:
- According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.
- 2023, Melanie Swan, Renato P. dos Santos, “Quantum Intelligence: Responsible Human-AI Entities”, in AAAI 2023 Spring Symposia, Socially Responsible AI for Wellbeing, March 27–29, 2023, USA, CEUR Workshop Proceedings, :
- 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.
Hypernyms
Translations
nonassociative extension of a quaternion