See octonion on Wiktionary
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"ref": "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, →DOI, →ISSN:",
"text": "According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#x5C;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.",
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"ref": "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, →DOI:",
"text": "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.",
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"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)."
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"(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)."
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"word": "octonion"
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{
"code": "de",
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"word": "Oktonion"
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"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
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"sense": "nonassociative extension of a quaternion",
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"masculine"
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"word": "ottonione"
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{
"code": "it",
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"sense": "nonassociative extension of a quaternion",
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"masculine"
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"masculine"
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"word": "октонио́н"
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}
]
}
],
"word": "octonion"
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"text": "According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#x5C;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.",
"type": "quote"
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"text": "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.",
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"(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)."
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],
"word": "octonion"
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"masculine"
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"word": "ottonione"
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"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
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"word": "октонио́н"
},
{
"code": "es",
"lang": "Spanish",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "octonión"
}
],
"word": "octonion"
}
Download raw JSONL data for octonion meaning in All languages combined (3.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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