"hyperbolic quaternion" meaning in English

{
  "forms": [
    {
      "form": "hyperbolic quaternions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperbolic quaternion (plural hyperbolic quaternions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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      ],
      "glosses": [
        "A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}"
      ],
      "id": "en-hyperbolic_quaternion-en-noun-b2i4Sgv9",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "nonassociative",
          "nonassociative"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "raw_glosses": [
        "(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}"
      ],
      "tags": [
        "abstract"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hyperbolic quaternion"
}

{
  "forms": [
    {
      "form": "hyperbolic quaternions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperbolic quaternion (plural hyperbolic quaternions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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    {
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        "English entries with incorrect language header",
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      ],
      "glosses": [
        "A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "nonassociative",
          "nonassociative"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "raw_glosses": [
        "(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}"
      ],
      "tags": [
        "abstract"
      ],
      "topics": [
        "algebra",
        "mathematics",
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    }
  ],
  "word": "hyperbolic quaternion"
}