"null set" meaning in All languages combined

See null set on Wiktionary

Noun [English]

Forms: null sets [plural]
Head templates: {{en-noun}} null set (plural null sets)
  1. (mathematics, measure theory) A negligible set; set of zero measure. Categories (topical): Mathematics, Measure theory Translations (negligible set): nollajoukko (Finnish), ensemble négligeable [masculine] (French), Nullmenge [feminine] (German), insieme nullo [masculine] (Italian), zbiór miary zero [masculine] (Polish)
    Sense id: en-null_set-en-noun-YliAaVrx Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Italian translations, Terms with Polish translations Disambiguation of English entries with incorrect language header: 91 9 Disambiguation of Entries with translation boxes: 92 8 Disambiguation of Pages with 1 entry: 89 11 Disambiguation of Pages with entries: 96 4 Disambiguation of Terms with Finnish translations: 90 10 Disambiguation of Terms with French translations: 87 13 Disambiguation of Terms with German translations: 89 11 Disambiguation of Terms with Italian translations: 90 10 Disambiguation of Terms with Polish translations: 87 13 Topics: mathematics, measure-theory, sciences Disambiguation of 'negligible set': 88 12
  2. (set theory, sometimes proscribed) The empty set. Tags: proscribed, sometimes Categories (topical): Set theory
    Sense id: en-null_set-en-noun-DMtZ5Ekp Topics: mathematics, sciences, set-theory

Inflected forms

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  "lang": "English",
  "lang_code": "en",
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  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
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          "_dis": "91 9",
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          "source": "w+disamb"
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          "_dis": "92 8",
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          "_dis": "89 11",
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          "_dis": "96 4",
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          "_dis": "90 10",
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          "_dis": "87 13",
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          "_dis": "89 11",
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        "A negligible set; set of zero measure."
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        "(mathematics, measure theory) A negligible set; set of zero measure."
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          "_dis1": "88 12",
          "code": "fi",
          "lang": "Finnish",
          "sense": "negligible set",
          "word": "nollajoukko"
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          "_dis1": "88 12",
          "code": "fr",
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          "sense": "negligible set",
          "tags": [
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          "word": "ensemble négligeable"
        },
        {
          "_dis1": "88 12",
          "code": "de",
          "lang": "German",
          "sense": "negligible set",
          "tags": [
            "feminine"
          ],
          "word": "Nullmenge"
        },
        {
          "_dis1": "88 12",
          "code": "it",
          "lang": "Italian",
          "sense": "negligible set",
          "tags": [
            "masculine"
          ],
          "word": "insieme nullo"
        },
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          "_dis1": "88 12",
          "code": "pl",
          "lang": "Polish",
          "sense": "negligible set",
          "tags": [
            "masculine"
          ],
          "word": "zbiór miary zero"
        }
      ]
    },
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          "name": "Set theory",
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            "Formal sciences",
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            "Fundamental"
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      ],
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      "code": "fi",
      "lang": "Finnish",
      "sense": "negligible set",
      "word": "nollajoukko"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "negligible set",
      "tags": [
        "masculine"
      ],
      "word": "ensemble négligeable"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "negligible set",
      "tags": [
        "feminine"
      ],
      "word": "Nullmenge"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "negligible set",
      "tags": [
        "masculine"
      ],
      "word": "insieme nullo"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "negligible set",
      "tags": [
        "masculine"
      ],
      "word": "zbiór miary zero"
    }
  ],
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}

Download raw JSONL data for null set meaning in All languages combined (1.9kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.