See octonion on Wiktionary
Download JSONL data for octonion meaning in All languages combined (3.4kB)
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"pos": "noun",
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{
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"name": "Eight",
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"glosses": [
"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)."
],
"hypernyms": [
{
"word": "hypercomplex number"
}
],
"id": "en-octonion-en-noun-avzC2gaB",
"links": [
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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": "imaginary unit"
},
{
"word": "quaternion"
},
{
"word": "sedenion"
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"translations": [
{
"code": "fr",
"lang": "French",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "octonion"
},
{
"code": "de",
"lang": "German",
"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
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"word": "Oktave"
},
{
"code": "de",
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"sense": "nonassociative extension of a quaternion",
"tags": [
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"word": "Oktonion"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
],
"word": "áttundatala"
},
{
"code": "it",
"lang": "Italian",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "ottonione"
},
{
"code": "it",
"lang": "Italian",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "ottetto"
},
{
"code": "ru",
"lang": "Russian",
"roman": "oktonión",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "октонио́н"
},
{
"code": "es",
"lang": "Spanish",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "octonión"
}
],
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"octonion"
]
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"word": "octonion"
}
{
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"pos": "noun",
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"word": "imaginary unit"
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"en:Eight",
"en:Higher-dimensional geometry",
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"glosses": [
"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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"mathematics",
"sciences"
],
"wikipedia": [
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"translations": [
{
"code": "fr",
"lang": "French",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "octonion"
},
{
"code": "de",
"lang": "German",
"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
],
"word": "Oktave"
},
{
"code": "de",
"lang": "German",
"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
],
"word": "Oktonion"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "nonassociative extension of a quaternion",
"tags": [
"feminine"
],
"word": "áttundatala"
},
{
"code": "it",
"lang": "Italian",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "ottonione"
},
{
"code": "it",
"lang": "Italian",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "ottetto"
},
{
"code": "ru",
"lang": "Russian",
"roman": "oktonión",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "октонио́н"
},
{
"code": "es",
"lang": "Spanish",
"sense": "nonassociative extension of a quaternion",
"tags": [
"masculine"
],
"word": "octonión"
}
],
"word": "octonion"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-07-01 from the enwiktionary dump dated 2024-06-20 using wiktextract (e79c026 and b863ecc). 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.