"euclidean" meaning in All languages combined

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "euclidean (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "alt_of": [
        {
          "word": "Euclidean"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1968, Robert R. Stoll, Edward T. Wong, Linear Algebra, London: Academic Press, →LCCN, page 76",
          "text": "If (#x5C;alpha#x5F;1,#x5C;dots,#x5C;alpha#x5F;n) is an orthonormal basis of a euclidean space V, then for all #x5C;alpha,#x5C;beta in V#x5C;alpha#x3D;#x5C;sum#x5F;#x7B;i#x3D;1#x7D;ⁿ(#x5C;alpha#x5C;vert#x5C;alpha#x5F;i)#x5C;alpha#x5F;i#x5C;quad#x5C;text#x7B;and#x7D;#x5C;quad(#x5C;alpha#x5C;vert#x5C;beta)#x3D;#x5C;sum#x5F;#x7B;i#x3D;1#x7D;ⁿ(#x5C;alpha#x5C;vert#x5C;alpha#x5F;i)(#x5C;beta#x5C;vert#x5C;alpha#x5F;i).We turn now to a somewhat more profound matter. Suppose that we partially order by inclusion the collection of all orthonormal sets of vectors in a euclidean space V. A maximal element of this set is called a maximal orthonormal set.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Alternative spelling of Euclidean"
      ],
      "id": "en-euclidean-en-adj-R2kSWsTi",
      "links": [
        [
          "Euclidean",
          "Euclidean#English"
        ]
      ],
      "raw_glosses": [
        "(rare) Alternative spelling of Euclidean"
      ],
      "tags": [
        "alt-of",
        "alternative",
        "not-comparable",
        "rare"
      ]
    }
  ],
  "sounds": [
    {
      "rhymes": "-ɪdiən"
    }
  ],
  "word": "euclidean"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "euclidean (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "alt_of": [
        {
          "word": "Euclidean"
        }
      ],
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms with quotations",
        "English terms with rare senses",
        "English uncomparable adjectives",
        "Rhymes:English/ɪdiən",
        "Rhymes:English/ɪdiən/4 syllables"
      ],
      "examples": [
        {
          "ref": "1968, Robert R. Stoll, Edward T. Wong, Linear Algebra, London: Academic Press, →LCCN, page 76",
          "text": "If (#x5C;alpha#x5F;1,#x5C;dots,#x5C;alpha#x5F;n) is an orthonormal basis of a euclidean space V, then for all #x5C;alpha,#x5C;beta in V#x5C;alpha#x3D;#x5C;sum#x5F;#x7B;i#x3D;1#x7D;ⁿ(#x5C;alpha#x5C;vert#x5C;alpha#x5F;i)#x5C;alpha#x5F;i#x5C;quad#x5C;text#x7B;and#x7D;#x5C;quad(#x5C;alpha#x5C;vert#x5C;beta)#x3D;#x5C;sum#x5F;#x7B;i#x3D;1#x7D;ⁿ(#x5C;alpha#x5C;vert#x5C;alpha#x5F;i)(#x5C;beta#x5C;vert#x5C;alpha#x5F;i).We turn now to a somewhat more profound matter. Suppose that we partially order by inclusion the collection of all orthonormal sets of vectors in a euclidean space V. A maximal element of this set is called a maximal orthonormal set.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Alternative spelling of Euclidean"
      ],
      "links": [
        [
          "Euclidean",
          "Euclidean#English"
        ]
      ],
      "raw_glosses": [
        "(rare) Alternative spelling of Euclidean"
      ],
      "tags": [
        "alt-of",
        "alternative",
        "not-comparable",
        "rare"
      ]
    }
  ],
  "sounds": [
    {
      "rhymes": "-ɪdiən"
    }
  ],
  "word": "euclidean"
}