"trivial absolute value" meaning in All languages combined

See trivial absolute value on Wiktionary

Noun [English]

Forms: trivial absolute values [plural]
Head templates: {{en-noun|head=trivial absolute value}} trivial absolute value (plural trivial absolute values)
  1. (number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero. Categories (topical): Number theory Related terms: discrete metric
    Sense id: en-trivial_absolute_value-en-noun-5i-u6gti Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, number-theory, sciences

Inflected forms

{
  "forms": [
    {
      "form": "trivial absolute values",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "trivial absolute value"
      },
      "expansion": "trivial absolute value (plural trivial absolute values)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "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": "The trivial absolute value gives rise to the discrete metric.",
          "type": "example"
        }
      ],
      "glosses": [
        "An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero."
      ],
      "id": "en-trivial_absolute_value-en-noun-5i-u6gti",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "absolute value",
          "absolute value"
        ],
        [
          "norm",
          "norm"
        ],
        [
          "field",
          "field"
        ],
        [
          "one",
          "one"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "raw_glosses": [
        "(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero."
      ],
      "related": [
        {
          "word": "discrete metric"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "trivial absolute value"
}
{
  "forms": [
    {
      "form": "trivial absolute values",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "trivial absolute value"
      },
      "expansion": "trivial absolute value (plural trivial absolute values)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "discrete metric"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "The trivial absolute value gives rise to the discrete metric.",
          "type": "example"
        }
      ],
      "glosses": [
        "An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "absolute value",
          "absolute value"
        ],
        [
          "norm",
          "norm"
        ],
        [
          "field",
          "field"
        ],
        [
          "one",
          "one"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "raw_glosses": [
        "(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "trivial absolute value"
}

Download raw JSONL data for trivial absolute value meaning in All languages combined (1.3kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-15 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.