"sedenion" meaning in All languages combined

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        "2": "la:sēdecim<t:sixteen>",
        "3": "quaternion"
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      "expansion": "Blend of Latin sēdecim (“sixteen”) + quaternion",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of Latin sēdecim (“sixteen”) + quaternion.",
  "forms": [
    {
      "form": "sedenions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sedenion (plural sedenions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w"
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "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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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Sixteen",
          "orig": "en:Sixteen",
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            "All topics",
            "Terms by semantic function",
            "Fundamental"
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          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "sedenionic"
        }
      ],
      "examples": [
        {
          "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 (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.",
          "type": "quote"
        },
        {
          "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.",
          "type": "quote"
        }
      ],
      "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",
          "roman": "shíliù-yuán shù",
          "sense": "nonassociative, nonalternative extension of an octonion",
          "word": "十六元數 /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"
}

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  "derived": [
    {
      "word": "sedenionic"
    }
  ],
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      },
      "expansion": "Blend of Latin sēdecim (“sixteen”) + quaternion",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of Latin sēdecim (“sixteen”) + quaternion.",
  "forms": [
    {
      "form": "sedenions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sedenion (plural sedenions)",
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      "word": "hypercomplex number"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "quaternion"
    },
    {
      "word": "octonion"
    },
    {
      "word": "trigintaduonion"
    }
  ],
  "senses": [
    {
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        "English blends",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms derived from Latin",
        "English terms with quotations",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Hungarian translations",
        "Terms with Icelandic translations",
        "Terms with Mandarin translations",
        "en:Higher-dimensional geometry",
        "en:Mathematics",
        "en:Sixteen"
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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 (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.",
          "type": "quote"
        },
        {
          "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.",
          "type": "quote"
        }
      ],
      "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."
      ],
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        [
          "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"
      ]
    }
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  "synonyms": [
    {
      "word": "hexadecanion"
    }
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  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "shíliù-yuán shù",
      "sense": "nonassociative, nonalternative extension of an octonion",
      "word": "十六元數 /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"
}