"propelinear" meaning in All languages combined

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "propelinear (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, I. Yu. Mogilnykh, “On the extention of propelinear structures of Nordstrom-Robinson code to Hamming code”, in arXiv",
          "text": "In the paper a classification of the propelinear structures on the Nordstrom-Robinson code is obtained and the question of extension of these structures to propelinear structures of the Hamming code, that contains the Nordstrom-Robinson code.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c)."
      ],
      "id": "en-propelinear-en-adj-8w5NH~1O",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "codeword",
          "codeword"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "permutation",
          "permutation"
        ],
        [
          "composition",
          "composition"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c)."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "propelinear"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "propelinear (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, I. Yu. Mogilnykh, “On the extention of propelinear structures of Nordstrom-Robinson code to Hamming code”, in arXiv",
          "text": "In the paper a classification of the propelinear structures on the Nordstrom-Robinson code is obtained and the question of extension of these structures to propelinear structures of the Hamming code, that contains the Nordstrom-Robinson code.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "codeword",
          "codeword"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "permutation",
          "permutation"
        ],
        [
          "composition",
          "composition"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c)."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "propelinear"
}