"p-adic ordinal" meaning in English

{
  "forms": [
    {
      "form": "p-adic ordinals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "p-adic ordinals",
        "head": "p-adic ordinal"
      },
      "expansion": "p-adic ordinal (plural p-adic ordinals)",
      "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": "other",
          "name": "English terms containing italics",
          "parents": [
            "Terms containing italics",
            "Terms by orthographic property",
            "Terms by lexical property"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Notice the resemblance between the p-adic ordinal and the base-p logarithm."
        }
      ],
      "glosses": [
        "A function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity."
      ],
      "id": "en-p-adic_ordinal-en-noun-PTXeLrX7",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "rational number",
          "rational number"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(number theory) A function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity."
      ],
      "related": [
        {
          "word": "p-adic norm"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "p-adic order"
      ]
    }
  ],
  "word": "p-adic ordinal"
}

{
  "forms": [
    {
      "form": "p-adic ordinals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "p-adic ordinals",
        "head": "p-adic ordinal"
      },
      "expansion": "p-adic ordinal (plural p-adic ordinals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "p-adic norm"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms containing italics",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "Notice the resemblance between the p-adic ordinal and the base-p logarithm."
        }
      ],
      "glosses": [
        "A function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "rational number",
          "rational number"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(number theory) A function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "p-adic order"
      ]
    }
  ],
  "word": "p-adic ordinal"
}