countable additivity in English

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      "expansion": "countable additivity (uncountable)",
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      "glosses": [
        "The following property of a measure: that the measure of a countable union of disjoint sets is equal to the sum of their measures."
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          "measure",
          "measure"
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          "union",
          "union"
        ],
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      "raw_glosses": [
        "(mathematical analysis) The following property of a measure: that the measure of a countable union of disjoint sets is equal to the sum of their measures."
      ],
      "synonyms": [
        {
          "word": "σ-additivity"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "countable additivity"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
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      "expansion": "countable additivity (uncountable)",
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  "lang_code": "en",
  "pos": "noun",
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        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "Pages with entries",
        "en:Mathematical analysis",
        "en:Measure theory"
      ],
      "glosses": [
        "The following property of a measure: that the measure of a countable union of disjoint sets is equal to the sum of their measures."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "measure",
          "measure"
        ],
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          "union",
          "union"
        ],
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          "disjoint"
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        "(mathematical analysis) The following property of a measure: that the measure of a countable union of disjoint sets is equal to the sum of their measures."
      ],
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        "uncountable"
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        "mathematical-analysis",
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    }
  ],
  "synonyms": [
    {
      "word": "σ-additivity"
    }
  ],
  "word": "countable additivity"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

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"countable additivity" meaning in English

Noun