"field axioms" meaning in All languages combined

See field axioms on Wiktionary

Noun [English]

Head templates: {{head|en|noun form}} field axioms
  1. (definite, mathematics) the requirements for an object to be considered a field: Tags: definite Categories (topical): Mathematics
    Sense id: en-field_axioms-en-noun-LlAci1wo Topics: mathematics, sciences
  2. plural of field axiom Tags: form-of, plural Form of: field axiom
    Sense id: en-field_axioms-en-noun-ZjOk3Umc Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 18 82

Download JSON data for field axioms meaning in All languages combined (1.5kB)

{
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun form"
      },
      "expansion": "field axioms",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "associativity and commutativity of addition and multiplication"
        },
        {
          "text": "distributivity of addition over multiplication"
        },
        {
          "text": "additive and multiplicative identity elements"
        },
        {
          "text": "additive and multiplicative inverses (except for additive identity)"
        }
      ],
      "glosses": [
        "the requirements for an object to be considered a field:",
        "the requirements for an object to be considered a field"
      ],
      "id": "en-field_axioms-en-noun-LlAci1wo",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "field",
          "field#English"
        ]
      ],
      "raw_glosses": [
        "(definite, mathematics) the requirements for an object to be considered a field:"
      ],
      "tags": [
        "definite"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "_dis": "18 82",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "form_of": [
        {
          "word": "field axiom"
        }
      ],
      "glosses": [
        "plural of field axiom"
      ],
      "id": "en-field_axioms-en-noun-ZjOk3Umc",
      "links": [
        [
          "field axiom",
          "field axiom#English"
        ]
      ],
      "tags": [
        "form-of",
        "plural"
      ]
    }
  ],
  "wikipedia": [
    "Field (mathematics)"
  ],
  "word": "field axioms"
}
{
  "categories": [
    "English entries with incorrect language header",
    "English non-lemma forms",
    "English noun forms"
  ],
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun form"
      },
      "expansion": "field axioms",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "associativity and commutativity of addition and multiplication"
        },
        {
          "text": "distributivity of addition over multiplication"
        },
        {
          "text": "additive and multiplicative identity elements"
        },
        {
          "text": "additive and multiplicative inverses (except for additive identity)"
        }
      ],
      "glosses": [
        "the requirements for an object to be considered a field:",
        "the requirements for an object to be considered a field"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "field",
          "field#English"
        ]
      ],
      "raw_glosses": [
        "(definite, mathematics) the requirements for an object to be considered a field:"
      ],
      "tags": [
        "definite"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "form_of": [
        {
          "word": "field axiom"
        }
      ],
      "glosses": [
        "plural of field axiom"
      ],
      "links": [
        [
          "field axiom",
          "field axiom#English"
        ]
      ],
      "tags": [
        "form-of",
        "plural"
      ]
    }
  ],
  "wikipedia": [
    "Field (mathematics)"
  ],
  "word": "field axioms"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.