"sedenion" meaning in All languages combined

See sedenion on Wiktionary

Noun [English]

Forms: sedenions [plural]
Etymology: From Latin sēdecim (“sixteen”). Etymology templates: {{der|en|la|sēdecim||sixteen}} Latin sēdecim (“sixteen”) Head templates: {{en-noun}} sedenion (plural sedenions)
  1. (mathematics) A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1. Wikipedia link: sedenion Categories (topical): Higher-dimensional geometry, Mathematics, Sixteen Synonyms: hexadecanion Hypernyms: hypercomplex number Derived forms: sedenionic Related terms: quaternion, octonion, trigintaduonion Translations (nonassociative, nonalternative extension of an octonion): 十六元數 (Chinese Mandarin), 十六元数 (shíliù-yuán shù) (Chinese Mandarin), szedénió (Hungarian), sextándatala [feminine] (Icelandic)
    Sense id: en-sedenion-en-noun-V7gFfjw0 Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for sedenion meaning in All languages combined (2.6kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "sēdecim",
        "4": "",
        "5": "sixteen"
      },
      "expansion": "Latin sēdecim (“sixteen”)",
      "name": "der"
    }
  ],
  "etymology_text": "From Latin sēdecim (“sixteen”).",
  "forms": [
    {
      "form": "sedenions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sedenion (plural sedenions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Higher-dimensional geometry",
          "orig": "en:Higher-dimensional geometry",
          "parents": [
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Sixteen",
          "orig": "en:Sixteen",
          "parents": [
            "Numbers",
            "All topics",
            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "sedenionic"
        }
      ],
      "glosses": [
        "A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1."
      ],
      "hypernyms": [
        {
          "word": "hypercomplex number"
        }
      ],
      "id": "en-sedenion-en-noun-V7gFfjw0",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "octonion",
          "octonion"
        ],
        [
          "square root",
          "square root"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1."
      ],
      "related": [
        {
          "word": "quaternion"
        },
        {
          "word": "octonion"
        },
        {
          "word": "trigintaduonion"
        }
      ],
      "synonyms": [
        {
          "word": "hexadecanion"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "nonassociative, nonalternative extension of an octonion",
          "word": "十六元數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "shíliù-yuán shù",
          "sense": "nonassociative, nonalternative extension of an octonion",
          "word": "十六元数"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "nonassociative, nonalternative extension of an octonion",
          "word": "szedénió"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "nonassociative, nonalternative extension of an octonion",
          "tags": [
            "feminine"
          ],
          "word": "sextándatala"
        }
      ],
      "wikipedia": [
        "sedenion"
      ]
    }
  ],
  "word": "sedenion"
}
{
  "derived": [
    {
      "word": "sedenionic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "sēdecim",
        "4": "",
        "5": "sixteen"
      },
      "expansion": "Latin sēdecim (“sixteen”)",
      "name": "der"
    }
  ],
  "etymology_text": "From Latin sēdecim (“sixteen”).",
  "forms": [
    {
      "form": "sedenions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sedenion (plural sedenions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "hypercomplex number"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "quaternion"
    },
    {
      "word": "octonion"
    },
    {
      "word": "trigintaduonion"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms derived from Latin",
        "en:Higher-dimensional geometry",
        "en:Mathematics",
        "en:Sixteen"
      ],
      "glosses": [
        "A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "octonion",
          "octonion"
        ],
        [
          "square root",
          "square root"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "sedenion"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "hexadecanion"
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "nonassociative, nonalternative extension of an octonion",
      "word": "十六元數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "shíliù-yuán shù",
      "sense": "nonassociative, nonalternative extension of an octonion",
      "word": "十六元数"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "nonassociative, nonalternative extension of an octonion",
      "word": "szedénió"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "nonassociative, nonalternative extension of an octonion",
      "tags": [
        "feminine"
      ],
      "word": "sextándatala"
    }
  ],
  "word": "sedenion"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.